The true statement is that blood pressure increases by 1 mm HG per year.
In geometry, we have seen the lines drawn on the coordinate plane. To predict whether the lines are parallel or perpendicular or at any angle without using any geometrical tool, the best way to find this is by measuring the slope. In this article, we are going to discuss what a slope is, slope formula for parallel lines, perpendicular lines, slope for collinearity with many solved examples in detail.
What is a Slope?
The equation that represents the linear model is:
y =x+95
Linear regression is represented as:
y=mx+b
Where:
m represents the slope
b represents the y-intercept
By comparison, we have: m=1
This means that:
The blood pressure increases by 1 mm HG per year.
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What is a sum of 4 and 5?.
The sum of 4 and 5 is 9
We know that the sum or also called a summation, is nothing but the result of arithmetically adding numbers.
In simple way we can say that the sum is a way of putting all things together.
The sum is nothing but the whole number which is obtained when two or more numbers have been added together.
and the numbers that are added are known as the addends.
When we add the numbers a plus symbol '+' is used.
Let us assume that we need to find the sum of numbers p and q then we write it as p + q, where p, q are addends.
Here, we need to find the sum of numbers 4 and 5.
4 + 5 = 9
so, the sum is 9
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There are two bags A and B.
Bag A has 6 red counters and 4 green counters. Bag B has 3 red counters and 7 green counters.
A counter is removed from Bag a and placed into Bag B. A counter is then removed from Bag B.
Work out the probability the counter removed is red.
The probability that the counter removed is red is given as follows:
18/55.
How to obtain the probability?A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.
The probabilities of a red counter being removed from Bag B is obtained considering these following scenarios:
Red from A: 4/11 of 6/10.Green from A: 3/11 of 4/10.Hence the probability that the counter removed is red is calculated as follows:
p = 4/11 x 6/10 + 3/11 x 4/10 = 36/110 = 18/55.
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Please look at photo!
The correct option A: The solution cannot include x = 3 and x = (-1/2) as it will make the equation as indeterminate form, whose solution is not possible.
Explain the indeterminate form of the equation?If an undefined statement containing an operations between two quantities evaluates to something like a single number meaning or infinity, it is referred to as having a determinate form. If an undefined expression doesn't quite evaluate to just a single numerical value or infinity but instead involves an operation between two numbers, it is referred to as having an indeterminate form.When establishing the limit of a ratio between two functions, including x/x3, x/x, and x2/x, the ratios go to, ∞, 1, and 0 accordingly when x approaches zero.For the stated equation.
6 / (2x + 1) - 1 / (x - 3) = 0.
When putting x = x = 3 and x = (-1/2), the denominator part will become zero.
This makes the whole equation as indeterminate form,whose solution is not possible.
Thus, the solution cannot include x = 3 and x = (-1/2) as it will make the equation as indeterminate form, whose solution is not possible.
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K is the midpoint of GJ and I is the midpoint of HJ
IF GH=t+47 and IK=-5t+84 what is the value of t?
By using the fact that the triangles are similar, we can write and solve an equation to find that t = 11.
How to find the value of t?Here we know that K is the midpoint of GJ and I is the midpoint of HJ, this means that triangle JKI is similar to JHG, but dilated by a factor 1/2.
That means that we can write:
(1/2)HG = IK
We know that:
GH = t + 47
IK = -5t + 84
Replacing these in the equation above, we will get:
(1/2)*(t + 47) = -5t + 84
t + 47 = 2*(-5t + 84)
t + 47 = -10*t + 168
t + 10t = 168 - 47
11t = 121
t = 121/11 = 11
The value of t is 11.
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pendiente y ángulos A(-8,6) B(11,2)
The slope of the line containing the points A(-8,6) and B(11,2) is given as follows:
m = -0.2105.
The angle of the line is given as follows:
θ = -11.89º.
How to obtain the slope and the angle?The two points on the line are given as follows:
A(-8,6) and B(11,2).
Given two points, the slope is obtained by the division of the change in y by the change in x, hence:
m = (2 - 6)/(11 + 8)
m = -0.2105.
The slope represents the tangent of the angle, hence the angle is the arc tangent of the slope, thus:
θ = arctan(-0.2105)
θ = -11.89º.
TranslationThe problem asks for the slope and for the angle of the line containing points A and B.
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A chocolatier made 16 batches of salted caramel chocolate
bars. Each batch consisted of 42 chocolate bars. The
chocolatier sent an equal number of bars to each of its
6 stores. How many bars did each store receive?
Answer:
112 chocolate bars
Step-by-step explanation:
Given that the chocolatier made 16 batches of salted caramel chocolate bars, each batch consisted of 42 bars and he sent an equal number of bars to each of its 6 stores,
What is asked: To determine how many bars did each store receive.
Method of solving: Using elementary operations as multiplication and division.
Start considering each batch as the following box:
So it suggests that to find the total number of chocolates produced is equal to the product
Before multiplying, now see that the chocolatier is equally dividing them to its 6 stores, which means that he will take this quantity and divide equally into 6 boxes.
Therefore, this process is the same as dividing by 6, therefore
Is the expression that gives the result desired.
Simplifying the fraction and multiplying the terms gives
112 chocolate barsThis is the amount of chocolate bars each store received.
43p72 transmath 4eme
The value of {p} is equivalent to 1.68.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression -
43p = 72
The given equation is -
43p = 72
{p} = 72/43
{p} = 1.68
Therefore, the value of {p} is equivalent to 1.68.
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19. Sketch the graph of x² + y² + 4x - 2y - 31 = 0.
Write the center and radius under the graph. (show all work)
For given equation of circle radius is 6 unit and center is at (-2,1).
What is a circle?
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.
The equation of circle in the plane is given as:
(x-h)^2 + (y-k)^2 = r^2
where (x, y) are the coordinate points
(h, k) is the coordinate of the center of a circle
and r is the radius of a circle.
Now,
As shown in graph the graph by taking two points on graph
(-2,7) and (-2,-5)
Center will be at (-2-2)/2, (7-5)/2
i.e. (-2,1)
And for radius take magnitude of points from y-coordinate
(7+5)/2=6 unit
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(1 + √2)^2
Can someone please give a step-by-step on how to solve this? Thanks!
What is the range of integer value in C?.
The range of integer value in C is: -2,147,483,647 to 2,147,483,647
We know that the range of data types means the maximum and minimum value that can be stored inside the variable of a given type.
In C programming, the primitive data types are:
char – this data type hold a single character
float – this data type hold single-precision types of floating-point.
int – this data type hold integers
double - this data type hold double-precision types of floating-point
The int i.e., integer data type holds whole numbers that range from -2,147,483,647 to 2,147,483,647.
The number 2,147,483,648 cannot be used.
The integer value is stored as a signed binary integer.
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How do you graph y =- 7?.
Graph y=-7 by plotting y-intercept (0,-7) and all points have y=-7, it is a horizontal line.
What is graph ?
A graph is a mathematical structure used to represent relationships between objects. In a graph, objects are represented by vertices (or nodes) and relationships are represented by edges (or arcs). Graphs can be used to model a wide variety of real-world systems, including networks of roads, social networks, and the internet.
To graph y = -7, you can start by plotting the y-intercept, which is the point at which the line crosses the y-axis. In this case, the y-intercept is (0, -7) because when x = 0, y = -7.
To graph the line, you can then pick any other x-value, substitute it into the equation, and find the corresponding y-value. For example, if you pick x = 1, then y = -7. So, you can plot the point (1,-7) on the graph.
You can repeat this process with different x-values and plot more points on the graph.
Graph y=-7 by plotting y-intercept (0,-7) and all points have y=-7, it is a horizontal line.
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A parallelogram is shown on this coordinate plane.
What is the perimeter, in units, of the parallelogram?
A) 24
B) 36
C) 48
D) 64
The perimeter, in units, of the parallelogram exists 48.
What is meant by coordinate plane?Two number lines combine to produce the coordinate plane, a two-dimensional surface. The x-axis is the name given to one horizontal number line. The y-axis is the name given to the other number line, which is vertical. At a place known as the origin, the two axes collide. The coordinate plane allows us to graph points, lines, and more.
A coordinate plane is a framework for describing and graphing points and lines. The coordinate plane is composed of two axes, one vertical (y) and one horizontal (x). The coordinate plane has four quadrants. The origin is the location where these lines converge (0, 0).
Therefore, the correct answer is option C) 48.
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A goat is tethered to a stake at the edge of a circular field with radius 1 unit. How long should the rope be so that the goat can graze over half of the field?
Based on the information provided, the length of the rope for the goat to graze over half of the field is 0.5 units.
What is the radius of a circle?The radius of a circle can be defined as a straight line that goes from any of the borders of the circle to its center of it.
How is the radius related to the lenght of the rope?The radius and the proportion of the field that the goat can graze is proportional. In this case if the length is 1 unit the goat can graze all the field; therefore, if we cut the graze to 0.5 the goat will graze only half of the field.
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GIVING 20 POINTS! FOR CORRECT ANSWER!
Twenty-five households are surveyed and the number of children is recorded. The data is summarized in the frequency table below. Use the frequency table to compute the mean of the observations.
An average mean of 1.72 children can be found on every house
What is frequency table?One method for making data more comprehensible is to put it in a frequency distribution table. Consider having a list of IQ results for a talented class at a certain elementary school. The frequency of a value in a set of data is how frequently it appears.
Victor, for instance, made nine attempts to obtain a red gumball. The quantity of gumballs in each hue that were produced would be the frequency in this situation. The distribution of observations based on a variable's possible values is displayed in a frequency table.
frequency = 10 + 4 + 2 + 3 + 4 + 2
= 25
Sum of children
= (10 × 0)+(4 ×1)+(2 × 2)+(3 × 3)+(4 × 4)+(2 × 5)
= 43
Mean = 43/25
= 1.72
Thus, An average mean of 1.72 children can be found on every house.
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Set up a proportion to solve for x in the following similar triangles.
Answer:
9/6=12/x-4
Step-by-step explanation:
Please help, I already did the rest I just need help with the last one.
Polynomial from Description
Use the information below to answer the questions.
Find the value of a,b,c and d. Note: b < d for grading purposes.
:b- type your answer....
a- type your answer....
type your answer.....
d- type your answer.....
Next
The polynomial, so d can be any value less than b.
What is polynomial?A polynomial is an expression made up of multiple terms, each of which is a number, a variable, or the product of a number and one or more variables. Polynomials are typically used to model real-world scenarios including, but not limited to, population growth, force and acceleration, and angles of elevation. Each term of the polynomial is separated from the others by an addition or subtraction sign.
Given the polynomial 4x^3 + ax^2 + bx + c,
a = 4, b = -3, c = 5, d = -2.
To find the values of a, b, c, and d, we need to compare the coefficients of the polynomial to the given values.
The coefficient of the term with the highest degree (x^3) is 4, so a = 4.
The coefficient of the next degree (x^2) is a, so a = -3.
The coefficient of the next degree (x) is b, so b = 5. The coefficient of the constant term is c, so c = -2. Finally, d is not given in the polynomial, so d can be any value less than b.
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I need help with this question please and thank you
Answer:
See below
Step-by-step explanation:
3. Triangle DEF with vertices D(0, 6), E(3, 5), and F(1, 1):
90° counterclockwise about the point (5,2)
The vertices of the triangle DEF after the 90º counterclockwise rotation about the point (5,2) are given as follows:
D'(-11, -2), E'(-10, 1) and F'(-6, -3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x)90° counterclockwise rotation: (x,y) -> (-y,x)180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y)270° clockwise rotation: (x,y) -> (-y,x)270° counterclockwise rotation: (x,y) -> (y,-x)Considering the 90º counterclockwise rotation about the point (5,2), the rule is given as follows:
(x,y) -> (-y - 5, x - 2).
Hence the vertices are given as follows:
D'(-11, -2), E'(-10, 1) and F'(-6, -3).
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number 6 please help
Answer: x = 26
Step-by-step explanation: All you need to do is to add up given two unknown angles. Then, you can solve the equation for 180 degree. Because in this case, these angles are complementary to 180 degrees.
If you add them up:
[tex]8x - 28 = 180\\x = 26[/tex]
So, the answer is 26.
HELP ME PLS >>>>>>>>>
The value of the length of side UX for the right triangle formed by sides tangent to the circle is equal to 3.4 using the Pythagoras rule.
What is the Pythagoras ruleThe Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The side XV is perpendicular to the side UV tangent to the circle, which makes the triangle a right triangle.
so by evaluation we derive the value for the hypotenuse UX as follows;
UX = √(3² + 1.6²)
UX = √(9 + 2.56)
UX = √11.56
UX = 3.4
Therefore, the length of side UX for the right triangle is equal to 3.4 using the Pythagoras rule.
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A newpaper advertiement offer a $10 000 ued car for nothing down and 36 monthly payment of $450. What i the interet rate ued? How much interet will you have to pay if you purchae thi car?
If you purchase the car with this loan, you will have to pay a total of $5,400 in interest.
To calculate the interest rate used for this loan, we can use the formula:
Interest rate = (Monthly payment x 12) / Principal
Plugging in the given values, we get:
Interest rate = ($450 x 12) / $10,000 = 0.54 or 54%
To calculate the total interest paid on the loan, we can use the formula:
Total interest = Principal x Interest rate
Plugging in the given values, we get:
Total interest = $10,000 x 0.54 = $5,400
So if you purchase the car with this loan, you will have to pay a total of $5,400 in interest.
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Three friends shared 2 chocolate chip cookies. Four friends shared 3 oatmeal raisin cookies. Who got more cookie: the friends who shared the chocolate chip cookies or the friends who shared the oatmeal raisin cookies
Answer: The friends who shared 2 chocolate chip cookies.
Step-by-step explanation: 3/2= 1.5 and 4/3= 1.3
1.5>1.3
Find 4½ x 2½ write the product as a mixed number
Answer: 11 1/4
Step-by-step explanation:
4 1/2 * 2 1/2
= 9/2 * 5/2
= 45 / 4
= 11 1/4
16
d
out of
What is the solution set to the following
equation?
4m² - 8m +9=0
Select one:
O a. m = 1 + 4i√√/5
2+i√/5
O b. m =
2
O c. m = -1 ± 4i√√5
O d. m =
-2+i√/5
2
The solutions of the quadratic equation are:
m = 1 ± i*√(5)/2
The correct option is b.
How to find the solutions of the quadratic equation?Here we want to solve the quadratic equation:
4m² - 8m +9 = 0
Replacing the coefficients on the quadratic formula, we will see that the solutions are:
[tex]m = \frac{8 \pm \sqrt{(-8)^2 - 4*4*9} }{2*4} \\\\m = \frac{8 \pm \sqrt{-80} }{8}\\\\m = 1 \pm\sqrt{-80/64} \\\\m = 1 \pm\sqrt{-5/4} \\\\m = 1 \pm\sqrt{-5}/2\\\\m = 1 \pm\sqrt{5}i/2[/tex]
These are the solutions.
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3. Solve this system by elimination
-5x - 10y = 20
-5x - 8y = 14
6. Solve this system by substitution
x = 4
-4x - 5y = 4
Answer:
3. (-4/5, -3) 6. (4, 12/-5)
Step-by-step explanation:
3. so first we have
-5x - 10y = 20
-5x - 8y = 14
so first we have to have the x's be opposite so we multiply the top one by -1 which gets us
5x + 10y = -20
-5x - 8y = 14
then we cancel out the x's and subtract 10 by 8 and -20 by 14 so it's now
2y = -6
then we divide by 2 on both sides so it's
y = -3
but now we have to solve for x so we substitute y in on the bottom equation so now it is
-5x - 8(-3) = 20
now we multiply
-5x + 24 = 20
subtract 24 from both sides
-5x = -4
divide by -5
x = -4/5
then put it in coordinates
(-4/5, -3)
6. so we have
x = 4
-4x - 5y = 4
so first we have to substitute the top in for the bottom so now we have
-4(4) - 5y = 4
distribute
-8 - 5y = 4
add 8 to both sides
-5y = 12
divide
y = 12/-5
coordinates
(4, 12/-5)
Amrita had to travel 20 km to attend a function. She had covered 17km 50 m when her car broken down. How much ditance remained to be covered
The distance remained to be covered by amrita to attend a function is 2950 meters or 2.95 kilometers.
Given,
Total distance to be covered by Amrita = 20 KM = 20000 m
Distance covered by her car before broken = 17 Km 50 meter = 17050m
We know that,
1 Kilometer = 1000 meter
Remaining Distance = (20000 - 17050)m
= 2950 m
= 2.95 KM
Therefore, the distance remaining to be covered by amrita is 2950 meters or 2.95 Kilometers.
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a trinagle is shown. what is y?
Answer:
82+54=136°
Step-by-step explanation:
the value of the extreior angle in a tringle equals to the sum of the further two angles in the tringle
A piece of artwork appreciate by 1. 28% in value every year. It wa purchaed for $1500. State the equation that can be ued to determine the value of the artwork in ""x"" year
the equation that can be used to determine the value of the artwork in "x" year is A = 1500(1 + 0.0128)^x.
An equation that can be used to determine the value of the artwork in "x" years is a compound interest equation. This type of equation is used to calculate the value of an investment over time, taking into account the initial investment amount and the interest rate.
Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It can be contrasted with simple interest, which is calculated only on the principal amount.
Compound interest is considered to be more beneficial for savers and investors, as it allows for interest to be earned on previously earned interest, leading to faster growth of the principal.
In this case, the artwork appreciates by 1.28% in value every year and was purchased for $1500. The formula for compound interest is:
A = P(1 + r)^n
Where:
A = the future value of the artwork
P = the initial investment (the purchase price of $1500)
r = the interest rate (1.28% per year)
n = the number of years
To use this equation, we need to convert the interest rate from a percentage to a decimal. We do this by dividing the interest rate by 100. So, 1.28% as a decimal is 0.0128.
Now we can substitute the values into the equation:
A = 1500(1 + 0.0128)^x
Therefore, the equation that can be used to determine the value of the artwork in "x" year is A = 1500(1 + 0.0128)^x.
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