Answer:
12.57x² units²
Explanation:
area of circle: πr² ["r" denotes radius]
diameter: 2r
Given,
diameter: 4x
radius: 4x/2 = 2x
Area of circle:
πr²
π(2x)²
π(4x²)
4πx²
12.57x²
Answer:
4πx² square units
Step-by-step explanation:
Area of a circle
[ A = πr² ]The formula uses the radius of the circle, but we have the diameter. Remember the relation :
Diameter = 2 x Radius4x = 2 x RadiusRadius = 4x/2 = 2xNow, we can solve.
⇒ A = πr²⇒ A = π(2x)²⇒ A = 4πx² square unitsA bag contains 24 ounces of soil. You use 2 7/8 ounces of soil to plant 1 herb.Is there enough soil in the bad to plant 8 herbs?
Answer:
Yes
Step-by-step explanation:
2 7/8x8=23
So you would have enough and one oz left over.
what are the Formulas for Simple Interest?
I don't know what subject this would be for. Please be quick.
Answer:
[tex]\boxed{\sf{I=Prt}}[/tex]
Step-by-step explanation:
Here is the formula for simple interest:
[tex]\Longrightarrow:\sf{I=Prt}[/tex]
I stands for "interest on the original investments".P stands for "principal".R stands for "interest rate". T stands for "interest time".I hope this helps you! Let me know if my answer is wrong or not.
Answer:
PRT/100
Step-by-step explanation:
To calculate the simple interest of a principle, use PRT/100, where:
P = PrincipleR = RateT = TimeLet's solve an example together.
Example (https://brainly.com/question/14162725):
Find the Simple Interest to the nearest cent. $300 at 15% for 14 months.
----------------------------------------------------------------------
Before we find the simple interest, let's convert the time into years.
⇒ 14 months = 1 year 2 months ≈ 1.17 years
To find the simple interest, we will substitute the principle ($300), rate (15%) and time (1.17 years) in PRT/100.
⇒ (P)(R)(T)/100 ⇒ (300)(15)(1.17)/100
⇒ (3)(15)(1.17)
⇒ 45(1.17) = $52.65
Thus, the interest is $52.65.
What is the equation of the line that passes through the point (4,-6) and has a slope of -5/2?
Please I’m desperate I already tried and it was wrong I’ll mark Brainlist
Answer:
y = (-5/2)X + 4
Step-by-step explanation:
we know that the equation of a line is y = mx + b
m = -5/2
so
y = -5/2x + b
to find b:
-6 = -10 + b
b = 4
so
y = (-5/2)X + 4
Answer:
Use the point-slope form of a linear equation:
[tex]y-y_1=m(x-x_1)[/tex]
where:
[tex]m[/tex] = slope[tex](x_1,y_1)[/tex] = point on lineGiven:
[tex]m=-\dfrac52[/tex][tex](x_1,y_1)=(4,-6)[/tex]Substitute given information into the equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-(-6)=-\dfrac52(x-4)[/tex]
[tex]\implies y+6=-\dfrac52x+10[/tex]
[tex]\implies y=-\dfrac52x+4[/tex]
Therefore, the equation of the line in different formats is:
[tex]\textsf{slope-intercept form: }y=-\dfrac52x+4[/tex]
[tex]\textsf{standard form: }5x+2y=8[/tex]
A simple random sample of 60 is drawn from a normally distributed population, and the mean is found to be 28, with a standard deviation of 5. which of the following values is within the 95% confidence interval (z-score = 1.96) for the population mean? remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. the value of 26, because it’s not greater than 26.7 and less than 29.3. the value of 27, because it’s greater than 26.7 and less than 29.3. the value of 32, because it’s greater than 23 and less than 33. the value of 34, because it’s not greater than 23 and less than 33.
The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
What is a confidence interval?In statistics, a confidence interval is a range to estimate for unknown terms.
The most common level is the 95% confidence interval.
It can be calculated by
CI = Mean ± margin of error.
α = 1 - 0.95 = 0.05
α/2 = 0.025
z(0.025) = 1.96
We need to find the [tex]\frac{\sigma}{\sqrt{n} }[/tex]
[tex]\frac{5}{\sqrt{60} }[/tex] = 0.645
So,
[tex]z \times \frac{\sigma}{\sqrt{n} }[/tex] = 1.96 × 0.645
CI =1.26
C.I= 28±1.2652
Upper limit = 28+1.2652
=29.2625
Lower limit =28-1.2652
=26.7348
Hence, The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
Learn more about confidence intervals;
https://brainly.com/question/12899226
Answer:
B
Step-by-step explanation:
Jen and her friends would like a curved pit to be included in next year’s obstacle course. they found this equation to model their suggested curved pit using a computer simulation. in the equation, y is the depth of the pit in relation to the surface of the course, and x is the horizontal distance from the left edge of the entire obstacle course. both distances are in feet. y = 0.75x^2 − 13.5x + 57.75 select the correct answer from each drop-down menu. a robot traveling along the surface of the curved pit reaches a (maximum, minimum, or contrast) depth of (-3, -9, 4, or -7) feet
Considering the vertex of the quadratic function, it is found that:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is given by:
y = 0.75x² - 13.5x + 57.75.
Which means that the coefficients are a = 0.75 > 0, b = -13.5, c = 57.75.
Thus, the minimum value is given by:
[tex]y_v = -\frac{(-13.5)^2 - 4(0.5)(57.75)}{4(0.75)} = -22.25[/tex]
Thus:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
please help!! i'll give a brainliest
Answer:
Answer is -1
have a nice hope it helps.
i needddddddd helpppppppppp
Answer:
x = 142°
Step-by-step explanation:
The first thing you need to figure out is the missing interior angle of the triangle.
There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.
180° - 90° - 52° = 38°
Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).
So subtract the interior angle 38° from 180°
180° - 38° = 142°
A tortoises walking in the desert it walks for six minutes at a speed of 7.68 m per minute. For how many meters does it walk
Answer:
It walks 46.08 meters
Step-by-step explanation:
It states that the toriose's speed is 7.68 m per minute, all we have to do is 7.68 m per minute times 6 minutes.
7.68 * 6 = 46.08
It walks 46.08 meters
help me please i rate you highest
Step-by-step explanation:
circumference = 2 pi r
2 × 3.14 × r = 527.52 yd
r = 527.52 × 1/2 × 1/3.14
r = 84 yd
Surface area = 4 pi r²
= 4 × 3.14 × 84²
= 88,623.36 yd²
what is the constant of proportionality of the below
Answer:
Proportionality constant k
When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.
Answer: Proportionality constant k
Step-by-step explanation:
below?
Evaluate the expression when a=4 and b=6?
8a-b
Answer: 26
Step-by-step explanation: Multiply first then subtract 8(4)-(6) = 32 - 6 = 26
Answer:
26
Step-by-step explanation:
8a-b
Evaluate or substitute
8(4)-6
32-6
26
Find the sum of
−
3
7
and its opposite
Answer:0
Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).
And also
There are 8 hamburger buns in a package. which number of hamburger buns would fill a whole number of packages: 18, 32, 44, 56?
Answer:
32 and 56?
Step-by-step explanation:
32 and 56 are related to 8.
32=8x4
56=8x7
The number that would fill a whole number of packages of hamburger buns is 32 ad 56.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
18, 32, 44, 56
We need to find which number can be evenly divided by 8 because there are 8 hamburger buns in a package.
Now,
18 is not divisible by 8, because 8 x 2 = 16, and 18 is greater than 16.
32 is divisible by 8 because 8 x 4 = 32.
44 is not divisible by 8, because 8 x 5 = 40, and 44 is greater than 40.
56 is divisible by 8 because 8 x 7 = 56.
Therefore,
32 and 56 would fill a whole number of packages of hamburger buns.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
the answer choices are
A. 2 1/4 inches
B. 3 inches
C. 4 1/2 inches
D. 5 inches
Check the picture below.
[tex]\stackrel{X}{1\frac{1}{2}}~~ + ~~\stackrel{X}{1\frac{3}{4}}~~ + ~~\stackrel{X}{1\frac{3}{4}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{2}~~ + ~~\cfrac{7}{4}~~ + ~~\cfrac{7}{4}\implies \cfrac{(2)3~~ + ~~(1)7~~ + ~~(1)7}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{20}{4}\implies 5[/tex]
What is the FIRST STEP to solve this equation?
3x+2=17
Question 5 options:
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
2nd option I believe
Step-by-step explanation:
subtract 2 from both sides
Answer:
The first step is to subtract from both sides
Step-by-step explanation:
if you do this it's method of balancing equations whereby you have. 3x+2-2=17
The triangles are similar.
What is the value of x?
Enter your answer in the box.
Answer:
x=4
Step-by-step explanation:
3x+8 = 20
subtract 8 both sides
3x=12
divide 3 both sides
x=4
A rectangular piece of poster board measures 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board and cuts it out. If the box measures 10 centimeters by 16 centimeters by 27 centimeters, what is the area of the poster board left?
You need a new mat to place under your dogs water bowl. The mat has a diameter of 24 inches and the water bowl has a diameter of 8 inches. What is the approximate space of the mat not covered by the water bowl?
Answer:
200.96
Step-by-step explanation:
So, we have to find the area of both.
The area for the mat is
(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.
So, 226.08
Next, the water bowl.
(3.14)4^2=50.24.
226.08-25.12=200.96
I may be wrong!
Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).
Answer:
y = 3x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope slopes.
The first line is y = 3x + 7. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, -14). Plug in the x and y values into the x and y of the standard equation.
-14 = 3(-4) + b
To find b, multiply the slope and the input of x (-4)
-14 = -12 + b
Now, add 12 to both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 3x - 2
This equation is parallel to your given equation (y = 3x + 7) and contains point (-4, -14)
Hope this helps!
Learn with another example:
https://brainly.com/question/27121082
What is the perimeter of 4ft and 8ft
Answer:
24
Step-by-step explanation:
4+4+8+8
8 + `16 = 24
Turner works a part-time job at a video game shop. He makes $12.30 per hour. If he works 22.5 hours this week, how much will he earn?
Answer:
Step-by-step explanation:
You multiply 12.30 x 22.5 and that = $276.75
HELP MEE!!! PLEASE
Cheryl is filling bags for a party. She puts 2 key chains in each of the 5 bags. Then, she puts 7 treats in each of the 5 bags. write an expression with two factors that show how many items cheryl put in the bags.
Answer: 45 items
Step-by-step explanation:
2 key chains in 5 bags so 2+2+2+2+2=10
Then it says 7 treats in each 5 bags so
7+7+7+7+7=35
So 10+35=45 so she had 45 items
And put 9 items in each bag
The measures of angles A and B are supplementary. What is the measure of each angle?
Answer:
any angle that can give the 180 degree is the answer but these angle is found face to face each other
May you help me please I am stressed and struggling
Answer:
a,c,e.
Step-by-step explanation:
2x+3x+4(2) is 5x+8. C is also. 2(2x) is 4x. 2(4) is 8. Add x is 5x+8
PLSSSS HELP <3
Which value of C represents a system with infinitely many solutions?
{6x+4y=14}
{9x+6y=C}
Answer: Option 2
Step-by-step explanation:
A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the red marbles to the blue marbles?
A) 3/5
B) 3/8
C) 5/3
D) 5/8
Total red = 5
Total blue = 3
Ratio of red to blue = 5/3
answer: c. 5/3
Each side of a pentagonal pyrimad is 9 yards. The area of a pentagon is 139 square yards. The slant height of the pyrimad is 6 yards. True or false: the permeter of the base is 45 yards
Answer:
Yes
Step-by-step explanation:
The only relevant information is each side of the pentagonal pyramid is 9 years and so the perimeter of the base is 45 since 9 x 5 = 45 yards.
Subtract --5x^2-
9x- 8 from
-6x^2 + 5.
Answer:
-x²+9x+13
Step-by-step explanation:
if your question is (-6x²+5)-(-5x²-9x-8)
-(-a-b)=(a+b)
=-6x²+5+5x²+9x+8
=-6x²+5x²+9x+5+8
=-6x²+5x²+9x+13
Then the answer is -x²+9x+13
What is 10+10-4x3=??
I will give a free brainliest to the first person to respond to this question :)
Answer:
8
Step-by-step explanation:
PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
[tex]10 + 10 - 4 \times 3 \\ 4 \times 3 = 12 \\ 10 + 10 - 12 \\ 10 + 10 = 20 \\ 20 - 12 = 8[/tex]
Answer:
8
Step-by-step explanation:
4x3 first = 12
then just do left to right
10+10=20
20-12=8
When number is multiplied by 4 subtracting from 68, the result obtained is the same as three times the sum of the number and 4 find the number
Answer:
Let the no.be X
when multiplied by 4 = 4X
68-4X=3(X+4)
68-4X=3X+12
collecting like terms together,
7X=56
therefore; X=8
hence ,the number is 8.
