The first step in determining whether a linear system is inconsistent is to identify whether the lines are parallel. Check to see if the lines have a y-intercept in common, if so.
This result establishes an inconsistent system due to the fact that two parallel lines with distinct y-intercepts will never intersect.
If there is at least one solution to a linear equations system, it is said to be a consistent system. The system is regarded as inconsistent if there is no solution.
When the lines are parallel to one another, a system of linear equations cannot become inconsistent in any other way. The slope of parallel lines is the same. Therefore, comparing the slopes is a good way to ascertain whether the system is inconsistent. The comparison is simple if the linear equations are written in the point-slope or slope-intercept form. In order to determine the coefficient of x and compare slopes, it is a good idea to solve for y on all equations that are in a different form and express them in the slope-intercept form. The equation system is inconsistent if the slopes are equal to one another.
To learn more about linear equations system here:
https://brainly.com/question/19549073
#SPJ4
If
FH
and
IK
are parallel lines and mIJG = 125°, what is mKJG?
°
Applying the linear pair theorem, the measure of angle KJG is: 55°.
What is the Linear Pair Theorem?According to the linear pair theorem, if two angles lie on a straight line, they form a pair of angles whose sum is equal to 180 degrees.
In the image attached below, angles IJG and KLG are both angles on a straight line, and ate therefore equal to 180 degrees when added.
This:
Measure of angle IJG = 125°
m<KLG = 180 - m<IJG
m<KLG = 180 - 125
m<KLG = 55°
Learn more about linear pair theorem on:
https://brainly.com/question/27869535
#SPJ1
What is the solution to this system of linear equations x − 3y − 2 x 3y 16 7 3 3 7 − 2 − 3 − 3 − 2?.
Solving the system of equations by the method of elimination we get
x = 7 and y = 7/3
Here we are given the system of equations:-
x - 3y = -2 [1]
x + 3y = 16 [2]
Since nothing is mentioned we will use the method of elimination for the question
Subtracting equation [2] rom [1] we get
-6y = -14
or, y = 14/6
or, y = 7/3
Now adding equation [1] and [2] gives us
2x = 14
or, x = 14/2
or, x = 7
To learn more about Simultaneous Equations visit
https://brainly.com/question/2643311
#SPJ4
Complete Question
What is the solution to this system of linear equations
x - 3y = -2,
x + 3y = 16
make x the subject of the relation x/s-1+t/r+1=1
Answer:
s - 1 - t(s - 1)/(r + 1)
Step-by-step explanation:
x/(s - 1) + t/(r + 1) = 1
x/(s - 1) = 1 - t/(r + 1)
x = s - 1 - t(s - 1)/(r + 1)
A mall box hold 60 hat. A large box hold 180% a many hat a the mall box. How many hat doe the large box hold
From probability of occurence of events the large box holds 180 hats.
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows
Let us check a simple application of probability to understand it better. Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.
The probability is classified into theoretical probability and experimental probability.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Here we have 60 hats in the mall box.
And a large box holds 180% as many hats as the mall box is given.
So, 180/100 ×60 = 180
Therefore, from probability of occurence of events the large box holds 180 hats.
To learn more about probability click below :
brainly.com/question/30034780
#SPJ4
After a long night of begging for candy, I ended up having a decent stash of Almond Joys and Kit Kals in the ratio of 5:3. If had 40 Almond Joys, how many Kit Kats did I have?
The 5:3 (5 to 3) ratio of the number of Almond Joys candy to Kit kats candy, and the 40 Almond Joys candies stashed, indicates that the number of Kit kandies also received are 24 Kit Kats candies.
What is a ratio?A ratio is an indication of the number of times one quantity is contained within another item.
The ratio of the Almond Joys to the Kit Kats = 5 : 3
The number of Almond Joys obtained = 40
The number of Kit Kats obtained can be found as follows;
The number of Almond Joys received for every 3 Kit Kats received = 5
Let x represent the total number of candies collected, we get;
[tex]\frac{5}{5+3} \times x = 40[/tex]
Therefore;
5·x = 40 × (5 + 3) = 320
x = 320 ÷ 5 = 64
The total number of candies collected = 64
The number of Kit Kats = The total number of candies collected - The number of Almonds Joys received
Therefore; The number of Kit Kats received = 64 - 40 = 24
The number of Kit Kats received = 24 Kit Kats
Learn more about ratios here: https://brainly.com/question/28882245
#SPJ1
You will have 24 Kit Kats based on the information given.
How to determine how many Kit Kats?A ratio is defined as the comparison of two or more quantities that indicates their sizes in relation to each other.
From the information, after a long night of begging for candy, the person ended up having a decent stash of Almond Joys and Kit Kals in the ratio of 5:3.
Since Almond Joys and Kit Kats are in the ratio of 5:3 and you had Almond Joys. Let K represent the number of Kit Kats. Then we have:
5 : 3 = 40 : K
5/3 = 40/K
5K = 3 × 40
5K = 120
K = 120/5
K = 24
Thus, you will have 24 Kit Kats
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
Use a table to find the break-even point.
C= 15x + 150
R = 45x
The break - even point is 5.
What is the break-even point?C=15x + 150
R=45x
Here, C = R
15x + 150 = 45x
30x = 150
x = 5
The break - even point is 5
The break-even point, or BEP, is typically the point where gains and losses are equal.The BEP is the point in a business where income and expenses are equal. There is currently no profit. Knowing and achieving the BEP is the first significant step for a firm in building a successful enterprise. At this stage, there is neither a profit nor a loss because the earnings are equal to the costs incurred to produce them. When revenue equals expenses and profit is equal to zero, this is the break-even point. The revenue left over after deducting the revenue from the variable costs incurred during unit production is known as the contribution margin. Here, The R = C = 45*5= 225
To learn more about break - even point, refer:
https://brainly.com/question/15281855
#SPJ1
Diego is solving the inequality 100 - 3x < -50.He first solves the equation and sees
that x = 50. Explain how Diego can use this information to find the solution to the inequality. Be sure to include the correct solution in your answer.
The solution of the inequality is x < -50.
And we can use the substitution method to find the solution of the inequality.
What is an inequality?
In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality 100 - 3x < -50.
Diego first solves the equation and sees that x = 50.
So, substituting the value of x to the inequality.
100 - 3(-50) < -50.
100 - 150 < -50
-50 < -50.
To find the solution of the inequality:
100 - 3x < -50.
-3x < -50 -100
x < - 50
Therefore, the solution of the inequality is x < -50.
To learn more about the inequality;
brainly.com/question/28823603
#SPJ1
For each transformation in the table below, indicate which properties are true and false by selecting true or false from the drop down menus in each box
Translation, rotation, and reflection are three of the fundamental transformations.
What properties do transformations have?Translation, rotation, and reflection are three of the fundamental transformations.The four main categories of transformations are as follows :Rotation.Translation.Dilation.ReflectionA metamorphosis is a significant alteration in appearance or form. The only change that might provide similarity is dilation.Non-rigid transformations are those that dilate when length and angle measurements are not preserved.Since they maintain length, translation, reflection, and rotation are isometries. Congruency transformations are hence translation, reflection, and rotation.An image that is congruent to the preimage is produced through stiff or isometric transformation.To learn more about transformation refer to:
https://brainly.com/question/4289712
#SPJ1
At a fair, 500 pounds of mixed candy was sold for $192.50. If part of the candy mixture was candy corn and was worth $0.35 per pound and the other part of the candy was candy pumpkins worth $0.40 per pound, how many pounds of each were in the mixture?
Answer:
There are 150 pounds of Candy Corn and 350 pounds of Candy Pumpkins in the mixture.
Interior wall of a reidence conit of a 2 × 4 (31/2") with 1/2" heetrock on both ide. Exterior wall are 2 × 6 (51/2") contruction with 1/2" heetrock on the interior and 7/16" heeting with 35/8" brick on the exterior. Determine the outide dimenion of a houe if there are two interior room with an interior wall. One room dimenion i 11' 3", Room 2 dimenion i 15' 7". How do I olve thi?
The outside dimensions of the house are 11' 9" x 15' 11".
To determine the outside dimensions of the house, we need to take into account the thickness of the interior and exterior walls.First, we'll calculate the thickness of the interior walls. The interior walls are made of 2x4 (31/2") lumber with 1/2" drywall on both sides.
This means that each interior wall adds an additional 3 1/2" + 1/2" + 1/2" = 4 1/2" to the overall width and height of the house. Next, we'll calculate the thickness of the exterior walls. The exterior walls are made of 2x6 (51/2") lumber with 1/2" drywall on the interior and 7/16" siding with 35/8" brick on the exterior.
This means that each exterior wall adds an additional 5 1/2" + 1/2" + 7/16" + 3 5/8" = 8 11/16" to the overall width and height of the house. To calculate the outside dimension of the house, we will add the thickness of the interior and exterior walls to the dimensions of the interior rooms.
The outside dimension of the house will be:
Width = 11' 3" + 4 1/2" + 8 11/16" = 11' 9"
Height = 15' 7" + 4 1/2" + 8 11/16" = 15' 11"
So the outside dimensions of the house are 11' 9" x 15' 11".
For more questions like Dimensions click the link below:
https://brainly.com/question/29458755
#SPJ4
Question
The interior wall of a residence consists of a 2 × 4 (31/2") with 1/2" sheetrock on both sides. Exterior walls are 2 × 6 (51/2") construction with 1/2" sheetrock on the interior and 7/16" sheeting with 35/8" brick on the exterior. Determine the outside dimension of a house if there are two interior rooms with an interior wall. One room's dimensions I 11' 3", and Room 2 dimensions I 15' 7". How do I solve this?
Without using a calculator, determine between which two integers the following surds lie (1) √5 (2)√1 (3)√107 (4)√3
Between these two integers the following surds lie
(1) √5 = 1-5
(2)√1 = 1-2
(3)√107 = 1-107
(4)√3 = 1-3
How to determine the two integers?There are two simple steps to surd simplification:
Split the number within the root into its prime factors. √50=√(5×5×2)
Based on the root write the prime factors, outside the root. In case of square root, write one factor outside the root, for every two similar factors within the root.
√18+√50.
Root of any whole number must always be greater than 1 as
√1 = 1
√2 = 1.41 > 1
Therefore, Between these two integers the following surds lie
(1) √5 = 1-5
(2)√1 = 1-2
(3)√107 = 1-107
(4)√3 = 1-3
To learn more about integers refers to;
https://brainly.com/question/15276410
#SPJ1
Can someone please help me with this math problem? The math problem is in the picture, THANKS! ASAP.
Answer:
y = [tex]\frac{6}{4}[/tex] or [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Since we are given x=1, we can plug that into the equation given:
-4y + [tex]\sqrt[3]{1}[/tex] = -6(1) + [tex]1^{2}[/tex]
-4y + 1 = -6 + 1
-4y = -6
y = [tex]\frac{-6}{-4}[/tex]
y = [tex]\frac{6}{4}[/tex] or [tex]\frac{3}{2}[/tex]
Write a conjecture for: the relationhip between the volume of a phere with a radiu that equal to y and the volume of a phere with a radiu equal to 2y
The conjecture for the relationship between the volume of the two spheres is "the volume of a sphere with radius 2y is 8 times greater than the volume of a sphere with radius y."
A conjecture is an educated guess or a hypothesis about a mathematical statement that has not yet been proven. It can be based on patterns or observations and can lead to further exploration and eventually a proof or disproof.
The formula for the volume of a sphere is given by (4/3)πr³, where r is the radius of the sphere. To compare the volumes of two spheres with different radii, we can substitute their respective radii into the formula.
If we let the radius of one sphere be y, then the volume of that sphere can be represented as (4/3)πy³. If we let the radius of the other sphere be 2y, then the volume of that sphere can be represented as (4/3)π(2y)³. Dividing the latter by the former, we get (4/3)π(2y)³ / (4/3)πy³ = (2y)³ / y³ = 8.
Thus, the volume of a sphere with a radius equal to 2y is 8 times greater than the volume of a sphere with a radius equal to y.
Learn more about conjecture here: https://brainly.com/question/18479471
#SPJ4
What is co-prime Class 10?.
A set of numbers is co-prime numbers if and only if these have only one common factor i.e., one.
Co-Prime Numbers are a set of numbers where the common factor between them is 1. This means that the HCF or highest common factor should be 1 for these numbers. Co-prime numbers are also referred to as "relatively prime numbers". This means that if we consider x and y to be the set of co-primes, then the only common factor between the two numbers is 1. The properties of co-primes are :
Every prime number is co-prime to each other.Any two consecutive numbers are always Co-prime.Consider a set of two numbers : 16 and 15 The factors of 16 are 1, 2, 8 and 16. The factors of 15 are 1, 3, 5 and 15. The common factor of 16 and 15 is only 1. So 16 and 15 are Co-prime numbers.
To learn more about relatively prime numbers, refer:
https://brainly.com/question/28692287
#SPJ4
Complete question:
What are co-prime numbers?.
I need help I’ll give BRAINLIEST
The team Seahawk has a larger mean value of about 23 inches.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
We know the mean of a data set is [tex]\frac{1}{n}\sum_{i=1}^{n} x_i[/tex].
So, The mean of Pelicans is, [tex]\frac{1}{15}\sum_{i=1}^{n} x_i[/tex].
= (1/15)×[20 + 20 + 22 + 21 + 22 + 23 + 22.5 + 24 + 21.5 + 22 + 23.5 + 22 + 23.5 + 22 + 24.5].
= (1/15)×[333.5].
= 22.23.
The mean of Seahawks is,
= (1/15)[21 + 23.5 + 23.5 + 22.5 + 23 + 21 + 23.5 + 23.5 + 22.5 + 23 + 21 + 23.5 + 23.5 + 22.5 + 23].
= 22.7.
So, Seahawks have a larger value of about 23 inches.
learn more about mean and median here :
https://brainly.com/question/28670966
#SPJ1
What is the factor of 9x² 6x 1?.
The factored form of given equation 9x² - 12x + 4 is (3x - 2)(3x - 2).
The given expression is 9x² - 12x + 4
By splitting the middle term, let us factor this polynomial.
To identify the factors we have to consider factors of 36 as (9 × 4)
9x²- 6x - 6x + 4
=3x(3x - 2) - 2(3x - 2)
=(3x - 2)(3x - 2)
Another example of a quadratic polynomial can be taken to demonstrate similar factorization:
x² + 9x + 20
= x² + 5x + 4x + 20
= x × (x + 5) + 4 × (x + 5)
= (x + 5)(x + 4)
To know more about factored form, here
brainly.com/question/29065045
#SPJ4
6. Find m/ADB.
D
A
E
(13x-16) C
B
(9x+4)
The value of Angle ADB, which is the angle created while moving from A to D to B. Angle ABM is the angle created while moving from point A to point B to point M is [tex]41^{0}[/tex]
Finding the value of m∠ADB:Due to the fact that angle ADB is an inscribed angle, its measure is halved compared to the angle of the arc that it intercepts. In other words, the angle is 40 degrees in length, which is equal to half of an 80 degree angle.
By adding up all of your balances at the end of each day for each eligible month, you may get your average daily balances (ADB) by dividing that amount by the number of days in that qualifying month.
3x - 16 = 9x + 4
4x = 20 x = 5 m
with BCE: 9 (5) + 4 = 49°
m with ADB = 41°
To learn more about intercepts refer to:
brainly.com/question/29512458
#SPJ1
*URGENT*
Also have been stuck on this for the past two days
Rounded to the nearest foot, the height of the tree is 31 feet.
What is height?Height is a measurement of distance from the ground to the top of an object, such as a person, animal, or building. It is typically measured in centimeters (cm) or feet and inches. Height is an important measurement for medical professionals, as it can provide insight into a person's overall health and wellbeing.
Using the tangent formula in trigonometry, the height of the tree can be calculated as follows:
tan(angle of elevation) = Opposite/Adjacent
tan(angle of elevation) = 47/h
h = 47/tan(angle of elevation)
Therefore, the height of the tree is h = 47/tan(angle of elevation) = 47/tan(47°) = 47/1.53 = 30.78 feet
Rounded to the nearest foot, the height of the tree is 31 feet.
To learn more about height
https://brainly.com/question/73194
#SPJ1
Complete Question:
From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is : height of the tree to the nearest foot. The height of the tree is feet. Round your answer to the nearest foot. with explanation. (And photo in question)
Match a system of equations to each description.
System with one solution: (-1, 3)
System with no solutions
System with infinite number of solutions
2x + 2y = -8 and 3x + 3y = - 12
- 3x + 3y = 12 and 5x + 5y = 10
y +4 =-x and y = -x + 2
Answer:
Image result for System with one solution 1 3 System with no solutions System with infinite number of solutions 2x 2y 8 and 3x 3y 12 3x 3y 12 and 5x 5y 10 y 4 x and y x 2
You can tell that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.
Step-by-step explanation:
Answer:
1) 2x + 2y = -8 and 3x + 3y = - 12: Infinite: the lines are the same.
2) - 3x + 3y = 12 and 5x + 5y = 10: One solution (-3.10)
3) y +4 =-x and y = -x + 2: No solutions. Parallel
Step-by-step explanation:
See the attached worksheet. All three explanations are used to identify the three systems of equations. Some of the equations are equal to each other, apparent only when one rearranges the equations.
Did Jas graph and find the solution correctly? If not, what was her mistake?
She did not find the correct solution. She graphed the bottom equation of the System incorrectly.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
According to the Problem
y = 3x - 3.....(1)
2x + 2y = 8........(2)
Substitute the value of y from equation 1 to equation 2
2x + 2(3x -3 ) = 8
2x + 6x -6 = 8
8x = 14
x = 1.75
Tus,
y = 3 * 1.75 - 3
y = 2.25
Therefore, she did not find the correct solution to the system of equations.
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ1
If the simple interest on $6,000 for 7 years is 2,100, then what is the interest rate?
Answer:
5%
Step-by-step explanation:
First, you do:
$2100/7 = $300
Then you do:
r x 6000 = $300
r = 300/6000 = 0.05
Finally, you do:
0.05 x 100 = 5%
So the interest rate is: 5%
An 8-foot-long board is leaning against a building. The angle formed by the ground and the board is 70 ∘ . How far up the side of the building does the board reach?
The height of the board up the side of the building is 7.5 feet.
How to find the side of a right triangle?An 8-foot-long board is leaning against a building. The angle formed by the ground and the board is 70 degrees.
The height of the board to the side of the building can be calculated as follows:
Therefore, the situation forms a right-angle triangle.
Using trigonometric ratios,
sin 70° = opposite / hypotenuse
sin 70° = x / 8
cross multiply
x = 8 sin 70°
x = 8 × 0.93969262078
x = 7.51754096629
Therefore,
distance of the board up the building = 7.5 feet
learn more on right triangle here:https://brainly.com/question/30303355
#SPJ1
Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles. For how many hours did he drive?
Miguel takes 1.6 hours to cover the distance of 84.8 miles with the given speed of 53 miles per hour.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
In the question, we are given a speed = 53 miles per hour and the distance traveled with the given speed is 84.8 miles, we have to determine the time for the same distance.
We know that,
Speed = distance/time
Speed = 84.8 / 53
Speed = 1.6 hours
Thus, the required time evaluated is 1.6 hours.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ1
The following table shows the life expectancy for women in the United States for selected years in the period 1975-2000.
Year
1975
1980
1985
1990
1995
2000
Women
76.6
77.4
78.2
78.8
78.9
80.0
Which graph makes the increase in life expectancy from 1975-2000 appear to be relatively small?
a.
A graph titled Life Expectancy of Women has Years after 1975 on the x-axis, from 0 to 25, and life expectancy (years) on the y-axis, from 74 to 81 in increments of 0.7.
b.
A graph titled Life Expectancy of Women has Years after 1975 on the x-axis, from 0 to 25, and life expectancy (years) on the y-axis, from 0 to 100 in increments of 10.
c.
A graph titled Life Expectancy of Women has Years after 1975 on the x-axis, from 0 to 25, and life expectancy (years) on the y-axis, from 76 to 80, in increments of 0.4.
d.
A graph titled Life Expectancy of Women has Years after 1975 on the x-axis, from 0 to 25, and life expectancy (years) on the y-axis, from 70 to 85 in increments of 0.5.
The graph that makes the increase in life expectancy from 1975-2000 appear to be relatively small is given by the following option:
b. A graph titled Life Expectancy of Women has Years after 1975 on the x-axis, from 0 to 25, and life expectancy (years) on the y-axis, from 0 to 100 in increments of 10.
What is the graph that makes the increase appear relatively small?The total increase is given as follows:
80 - 76.6 = 3.4 years.
Hence the higher the difference between the bounds of y, the smaller the difference will appear, meaning that the graph is given by option b.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Can sine law be used on a right triangle?.
No, the Sine law cannot be used directly on right triangles.
What is right triangle?
A right triangle is a type of triangle that has one angle that measures exactly 90 degrees (a right angle). The angle that measures 90 degrees is formed by two sides of the triangle, called the legs, and the third side, called the hypotenuse, is the side opposite the right angle. The legs of the right triangle are perpendicular to each other, meaning they form a 90 degree angle.
What is law of sines?
The sine law, also known as the "law of sines," is a mathematical relationship that relates the lengths of the sides of a triangle to the sines of its angles. the law states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.
What is Pythagorean theorem ?
The Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs, can be used to solve for unknown side lengths in a right triangle. This theorem is particularly useful in trigonometry, geometry and navigation.
A right triangle is a special type of triangle that has one angle that measures exactly 90 degrees (a right angle). Since the sine law relates the lengths of the sides of a triangle to the angles, it can be used to solve for unknown side lengths or angles in a right triangle, as long as the other side lengths and angles are known.
However, it is important to note that the sine law is typically used to solve for unknowns in non-right triangles, where the angle measures are not known. In a right triangle, the Pythagorean theorem can be used instead, which relates the length of the hypotenuse to the lengths of the legs.
So, Sine law cannot be used directly on right triangles, but it can be used in solving triangles which includes right triangles as well.
Learn more about Right triangle below :
brainly.com/question/29285631
#SPJ4
How many perfect squares from 1 to 100?.
There are eight perfect squares from 1 to 100 (i.e., except 1 and 100). They are represented as 4, 9, 16, 25, 36, 49, 64 and 81.
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, we can say that a perfect square is a number that can be expressed as the product of an integer by itself or as the second power of an integer. Perfect Square Formula : Let us consider if N is a perfect square of a whole number x, then N can be represent as the product of x and x = x². So, the perfect square formula formula is , N = x². For example, If x = 3, and N = x². This means, N = 3× 3 = 3² = 9 . Here, 9 is a perfect square because it is equal to the square of a whole number, 3. We have to determine the number of perfect squares from 1 to 100.
1² = 1 ; 2² = 4 ; 3² = 9 ; 4² = 16 ; 5² = 25 ; 6² = 36 ; 7² = 49 ; 8² = 64 ; 9² = 81 ; 10² = 100
As we get, there are 10 perfect squares from 1 to 100. But, in actual manner they are only 8 perfect squares from 1 to 100 after excluding 1 and 100.
To learn more about perfect square, refer:
https://brainly.com/question/27307830
#SPJ4
STUV is a parallelogram. Solve for SV:
S
SV =
19
T
4x - 1
2x + 3
U
Answer:
SV = 13
Step-by-step explanation:
• the opposite sides of a parallelogram are congruent , so
UV = ST , that is
4x - 1 = 19 ( add 1 to both sides )
4x = 20 ( divide both sides by 4 )
x = 5
Then
TU = 2x + 3 = 2(5) + 3 = 10 + 3 = 13
SV = TU = 13
Juliette planted a sunflower that was 18 inches tall. Each week it grows ½ inches. How long will it take the flower to reach a height of 26 inches?
Answer:
Step-by-step explanation:
okay bc the inches is 26 so the answer is 88
bc if u subtract this 26 with this 1 its will. be 25 so add 50 to 25 it will be 88
What is the distance between the points (- 3 2 and 3 5?.
The distance between the two points (-3, 2) and (3, 5) is approximately 6.71 units.
The distance between two points in a plane can be found using the distance formula. The distance formula is given by:
distance = √((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
In this case, the points are (-3, 2) and (3, 5)
So, the distance between the two points is:
distance = √((3 - (-3))² + (5 - 2)²)
distance = √(6² + 3²)
distance = √(36 + 9)
distance = √(45)
distance = 6.7082039
So the distance between the points (-3,2) and (3,5) is approximately 6.71
It is worth mentioning that the distance formula is used to calculate the distance between two points in a 2D space, it is also called the Euclidean distance.
To know more on distance formula
https://brainly.com/question/28956738
#SPJ4
Which ordered pair lies on the graph of the exponential function f(x)=2^(x+4)−8?
(8,0)
(2, 12)
(-2,-4)
(1, 99)
The point that lies on the graph of the exponential function:
f(x) = 2^(x + 4) - 8
is (-2, -4)
Which of the ordered pairs lies on the exponential function?Here we have the exponential function:
f(x) = 2^(x + 4) - 8
And we want to see which one of the given points lies on the graph of the exponential function.
To check that, we just need to replace the variable x by the first value of the ordered point and see if the function is equal to the second value.
For example, for the second point^(2, 12) we will get:
x = 2
f(2) = 2^(2 + 4)- 8
f(2) = 2^6 - 8 = 56
So we have the point (2, 56)
Now for the point (-2, -4) we will get:
f(-2) = 2^(-2 + 4) - 8
f(-2) = 2^2 - 8 = -4
So we have the point (-2, -4), this is the correct option.
Learn more about exponential functions:
https://brainly.com/question/2456547
#SPJ1
