Answer:
We know that Miranda ran 4 miles in 28 minutes. Let's set up the proportion:
4 miles / 28 minutes = x miles / 2 minutes
To solve for x, we can cross-multiply:
28 minutes * x miles = 4 miles * 2 minutes
28x = 8
Now, let's solve for x by dividing both sides of the equation by 28:
x = 8 / 28
x = 0.2857
Therefore, Miranda runs approximately 0.2857 miles in 2 minutes.
A new Sports complex is being built in Madison . The perimeter of the rectangular playing field is 466 yards. The length of the field is 3 yards less than triple the width. What are the dimensions of the playing field?
w = 57.5 yards
l = 169.5 yards
Step-by-step explanation:P = 2w + 2l
466 = 2w + 2l
l = 3w - 3
466 = 2w + 2(3w - 3)
466 = 2w + 6w - 6
466 - 6 = 8w
8w = 460
w = 460 : 8
w = 57.5 yards
l = 3w - 3
= 3×57.5 - 3
= 169.5
l = 169.5 yards
\(\sqrt \frac{256}{4\\}\)
Answer:
8
Step-by-step explanation:
\(\sqrt{\frac{256}{4} }\)
\(\sqrt{\frac{16*16}{2*2} }\)
\(\sqrt{(\frac{16}{2})^2 }\)
square and root gets cancel . so ,
\(\frac{16}{2}\)
8
A package of chocolate chip cookies contains 40 cookies. Camilla and her friend ate 25% of the cookies.
How many cookies did they eat?
A
1.6
B
10
С
62.5
D
160
Answer:
answer b
Step-by-step explanation:
Question 1 You want to enclose a rectangular region with an area of 1200 square feet and a length of 40 feet, 50 feet, or 60 feet. Find the perimeter for each possible region.
The perimeter for each possible region is 140 feet, 148 feet, and 160 feet when the length of the rectangle is 40 feet, 50 feet or 60 feet, respectively.
Given that you want to enclose a rectangular region with an area of 1200 square feet and a length of 40 feet, 50 feet, or 60 feet.
We are to find the perimeter for each possible region.
Area of rectangle = length x breadth
Now, we are given the area of the rectangle as 1200 square feet and length as 40 feet, 50 feet or 60 feet.
Therefore, the breadth of the rectangle can be calculated as follows:
Breadth = Area/Length
We get the following breadth for each of the given lengths:
For length 40 feet,
breadth = 1200/40 = 30 feet
For length 50 feet, breadth = 1200/50 = 24 feet
For length 60 feet, breadth = 1200/60 = 20 feet
Now, we can use the formula to calculate the perimeter of each rectangle.
Perimeter of rectangle = 2 (length + breadth)
So, the perimeter for each possible region is given by:
Perimeter when length = 40 feet
Breadth = 30 feet
Perimeter = 2(40+30) = 2(70) = 140 feet
Perimeter when length = 50 feet
Breadth = 24 feet
Perimeter = 2(50+24) = 2(74) = 148 feet
Perimeter when length = 60 feet
Breadth = 20 feet
Perimeter = 2(60+20) = 2(80) = 160 feet
Therefore, the perimeter for each possible region is 140 feet, 148 feet, and 160 feet when the length of the rectangle is 40 feet, 50 feet or 60 feet, respectively.
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The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
This question is incomplete
Complete Question
A baker uses 5.5 Ibs of flour daily
The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?
Answer:
51.3 loaves of bread
Step-by-step explanation:
Converting 5.5 Ibs to oz (ounces)
1 Ibs =>12 oz
5.5 Ibs => x
Cross Multiply
12 × 5.5 => 88 oz
1 loaf of bread =>12 oz
Hence, in 1 day
12 oz =>1 loaf of bread
88 oz => x
x =>88 oz/ 12 oz
x => 7.3333333333 loaves of bread
Hence, he can make 7.3333333333 loaves of bread in 1 day
Hence, in 7 days
1 day => 7.3333333333 loaves
7 days => x
x => 7 × 7.3333333333 loaves
x => 51.333333333 loaves of bread
Approximately => 51.3 loaves of bread
Write an equation for the line parallel to the given line that contains C.
C(-3,6); y=8/9x-2
Step-by-step explanation:
y = 8x/9 - 2
therefore m = 8/9
x1 = -3
y1 = 6
from, y - y1 = m(x-x1)
y - 6 = 8/9(x+3)
y-6 = 8x/9 + 8/3
y - 8x/9 -26/3 = 0 (×9)
9y - 8x -78 = 0
perform the necessary questions -5 -(-3) + (-8)
the answer is 0 because -5 -(-3) equals 8 which cancels out when u add negative 8 :)
Portland, OR is 180 miles away from Seattle, WA. If it takes a driver 3 hours to drive from Portland to Seattle, what is the driver's average rate of speed? ill mark brainliest please help this is my final grade
Answer:
60km/h
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 24.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 43 = x /34
34 cos 43 = x
x=24.86602
To the nearest tenth
x = 24.9
It is the morning of the community-wide yard sale that Joe has been anticipating. According to The Weather Channel there is a 10% probability of snow in his area today. Which of the following best describes the most likely way the probability was determined?
Historically, in this area, it has snowed 10% of the time on days with similar meteorological conditions as today.
It snows 10% of the time on this date each year.
Historically, in the United States, it has snowed 10% of the time on days with similar meteorological conditions as today.
Historically, it snows 10% of the days during this month.
Answer:
The answer is A.
Step-by-step explanation:
Lets prove the other ones wrong.
B) It is not based on a day to day prediction, rather days with simmilar conditions before the storm.
C) The United states is too broad an area.
D) It is not based on the ammount of days it snows per month, because on say December 15 it could be 60 degrees and on December 25 it could be 2 degrees. Also you could not make any predictions on a per-day basis then.
So the only clear answer is "Historically, in this area, it has snowed 10% of the time on days with similar meteorological conditions as today."
find is a simple interest for a loan where birr 6,000 borrowed and the amount owned after 5 months this is for 7,500 what is the rate
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answer:
$4.76
Step-by-step explanation:
It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.
We have to find 170% of the cost of making each sandwich ($2.80):
170/100 * 2.80 = $4.76
The sandwich sells for $4.76
Answer:
ben
Step-by-step explanation:
Derek will deposit $5,171.00 per year for 15.00 years into an wecount that earns 12.00% Assumeng the first deposit is: made 400 years from today, how much wit be in the account 31.00 years from foday? AHempts Remaining torfinity Answer fomtat: Currency. Rochd fo 2 decimal ploces What is the value iodiy of teceiving $2.72100 per year forever? Assume the first payment is made next year and the discount rate is 1000%. Atteenpts Remainung infinity Answer format: Curency. Round to 2 decmalplaces. What is the value today of receiving $1,93800 per year forever? Assume the first payment is made 600 years lioen today and the discount rate is 400% Answer format: Curency Round fo: 2 decimat paces. Allewpts Remaning infinity Supcose you itepose 52,70500 inso an account today that earrs 13 b0\% in 21.00 years the account wh be woth Answer format: Cunency found to-2 decimal places
The amount in the account 31.00 years from today would be approximately $2,990,040.02.
To calculate the future value of annual deposits, you can use the formula for the future value of an ordinary annuity:
Future Value = Payment * [(1 + interest rate)^(number of periods) - 1] / interest rate
Given:
Payment = $5,171.00 per year
Interest rate = 12.00%
Number of periods = 15.00 years
First, let's calculate the future value of the deposits after 15 years:
Future Value = $\(5,171.00 * [(1 + 0.12)^(15) - 1] / 0.12\)
Future Value = $5,171.00 *\((1.12^15 - 1) / 0.12\)
Future Value = $5,171.00 * (4.040609 - 1) / 0.12
Future Value = $5,171.00 * 3.040609 / 0.12
Future Value = $131,525.53
Now, we need to calculate the future value of this amount after an additional 31 years:
Future Value = $131,525.53 * \((1 + 0.12)^(31)\)
Future Value = $131,525.53 * \(1.12^31\)
Future Value = $131,525.53 * 22.737542
Future Value = $2,990,040.02
Therefore, the amount in the account 31.00 years from today would be approximately $2,990,040.02.
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Derek will deposit $5,171.00 per year for 15.00 years into an account that earns 12.00% Assuming the first deposit is: made 400 years from today, how much will it be in the account 31.00 years from today?
P43 000.00 at 10% compounded annually for 5 years.
P43 000.00 at 10% compounded annually for 5 years is :$69,251.93.
How to find the compounded amount ?Using formula
A=pP(1+r/n)^nt
Where:
A=Amount =?
P = Principal = 43,000
r = interest rate = .10
t= time = 5
Let plug in the formula
A = 43,000 (1+ .10/1)^1×5
A = 43,000 (1+ .10)^5
A = 43,000 ( 1.10)^5
A = 43,000 (1.61051)
A =$69,251.93
Therefore the compounded amount is $69,251.93.
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Answer:ANSWER
69251.93
EXPLANATION
P = 43000
r = 10%
n = 1
We know that:
t = 5 Formulate and substitute:
F43000 (1+10. .
1
100 Evaluate the equation/expression: 69251.93
Answer: 69251.93
Step-by-step explanation:
7,9,9,7,19,6,17,14 mean____ median______ mode_________ range_____
Answer:
median: 9
mean:11
mode: 7 or 9
range 13
Step-by-step explanation:
hope it helped!
What is the additive inverse of the number represented by A
Answer:
-A
Step-by-step explanation:
hope it helpsmark me as brainlist pls
A telephone pole is 24 feet tall. A support cable is attached to the top of the pole to keep the pole from leaning. The stake for the cable is set in the ground 18 feet away from the base of the pole, as shown. How long is the support cable?
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
Which quadrant includes every points with a positive x-coordinate and a negative y-coordinateA) Quadrant IB) Quadrant IIC) Quadrant IIID) Quadrant IV
Hello!
Let's write some information about each quadrant:
Quadrant I:
x > 0 and y > 0
Quadrant II:
x < 0 and y > 0
Quadrant III:
x < 0 and y < 0
Quadrant IV:
x > 0 and y < 0
Answer:Alternative D) Quadrant IV
What is the slope of the linear function represented in the table?
Answer:
Step-by-step explanation:
\(Slope = \dfrac{1-0}{0-[-7]}=\dfrac{1}{0+7}=\dfrac{1}{7}\)
Get the formula for cos(6θ) and sin(6θ) by utilizing de Moivre's theorem. Moivre's theorem is given as (cosθ+isinθ) n
=cos(nθ)+isin(nθ) 2. Solve for the possible values of i i
. Show all steps involving the solution on how to get the possible values of i i
.
The formulas for cos(6θ) and sin(6θ) using de Moivre's theorem are:
cos(6θ) = Re[(cosθ + isinθ)^6]
sin(6θ) = Im[(cosθ + isinθ)^6]
To find the formulas for cos(6θ) and sin(6θ) using de Moivre's theorem, we can start by expressing (cosθ + isinθ) raised to the power of 6. According to de Moivre's theorem, this can be written as (cos(6θ) + isin(6θ)).
Expanding (cosθ + isinθ)^6 using the binomial theorem, we get:
(cosθ + isinθ)^6 = C(6, 0)(cosθ)^6(isinθ)^0 + C(6, 1)(cosθ)^5(isinθ)^1 + C(6, 2)(cosθ)^4(isinθ)^2 + C(6, 3)(cosθ)^3(isinθ)^3 + C(6, 4)(cosθ)^2(isinθ)^4 + C(6, 5)(cosθ)^1(isinθ)^5 + C(6, 6)(cosθ)^0(isinθ)^6
Simplifying this expression, we can calculate each term separately. The terms with odd powers of isinθ will be imaginary and will contribute to sin(6θ), while the terms with even powers of isinθ will be real and will contribute to cos(6θ). After evaluating the terms and combining like terms, we obtain the formulas for cos(6θ) and sin(6θ).
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need these questions asap please help will give best review
Answer:
the picture is not coming clearly !!!
Compare the triangles and determine whether they be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Write your answer in the box.
========================================================
Explanation:
The sides shown by the single tickmark are the same length. That's one "S" of "SSS".
The sides shown with double tickmarks are the same length. This is another "S" of "SSS".
Lastly, the third unmarked sides of each triangle overlap together perfectly. We consider this a shared side. They are the same length due to the reflexive property. This is the third "S" of "SSS".
The order of the "S" terms mentioned above doesn't matter. All that matters is that we have three pairs of congruent sides. This is enough to use the SSS congruence theorem to prove the two triangles are congruent.
--------------
Extra info:
We don't have any information about the angles, so we cannot use ASA, SAS, or AAS.
We can't use HL because that only applies to right triangles.
Meera paid $240 for 4 pairs of shoes and 4 pairs of
shorts. Each pair of shoes cost 4 times as much as a pair of
shorts. Find the difference in price between a pair of shoes
and a pair of shorts.
Answer:
Difference between the two is $36.
Step-by-step explanation:
Pair of shorts costs $12. Shirt costs $48.
48-12=36
: CC> Chapter 9: Mean> Section Exercises 9.2 > Exercise 13
13
Complete these two different sets of data so that they each have six values and a mean of 21.
20, 20.5, 20.5, 21.5, 21.5,
20, 21, 21, 21, 21,
Answer:
To complete the first set of data so that it has six values and a mean of 21, you can add the following values: 20, 20.5, 20.5, 21.5, 21.5, 21.
The mean of this set is calculated as follows: (20 + 20.5 + 20.5 + 21.5 + 21.5 + 21) / 6 = 21.
To complete the second set of data so that it has six values and a mean of 21, you can add the following values: 20, 21, 21, 21, 21, 22.
The mean of this set is calculated as follows: (20 + 21 + 21 + 21 + 21 + 22) / 6 = 21.
Part B Which of these statements are true? Choose all that apply. . А More than 20% of girls and more than 20% of boys chose math as their favorite subject. Fewer than 30% of girls and fewer than 20% of boys chose English as their favorite subject. с Fewer than 20% of girls and fewer than 20% of boys chose history as their favorite subject. D More than 20% of girls and more than 30% of boys chose science as their favorite subject B
what should a good residual plot look like if the regression line fits the data well?
A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.
This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.
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work out
a. 1 (meaning whole number) 1/5 + 3 (whole number) 2/5
b. 4 (whole number) 1/2 - 1 (whole number) 1/3
Answer:
4
Step-by-step explanation:
hbjhb
Given f(x) = 3x^3 + kx – 5, and x – 1 is a factor of f(x), then what is the value
of k?
Answer:
\( \large \color{lime}{ \boxed{ \boxed{ \sf{ \: k = -4}}}}\)
The value of k is -4.
Given that,
The equation is f(x) = 3x^3 + kx + 1f(x)=3x3+kx+1 .And, x - 1 is the factor of f(x).Based on the above information, the calculation is as follows:f (x) = 3x³ + kx + 1
= 3 (1)³ + k (1) + 1
= 3 + k + 1
K= -4
Therefore, we can conclude that the value of k is -4.
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At x = 1, the value of the function will be zero. Then the value of the variable 'k' will be 2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Given f(x) = 3x³ + kx – 5, and the factor of the given function is (x – 1).
If the factor (x – 1) is zero. Then the value of the function will be zero.
x – 1 = 0
x = 1
At x = 1, the value of the function will be zero. Then the value of the variable 'k' will be calculated as,
f(1) = 3(1)³ + k(1) – 5
0 = 3 + k – 5
k = 5 – 3
k = 2
At x = 1, the value of the function will be zero. Then the value of the variable 'k' will be 2.
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Find the area of a circle with diameter 16cm. Use the value 3.14 for, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
200.96cm²
Step-by-step explanation:
Formula:
A = pi*r^2
A = 3.14(64)
A = 200.96cm²
Which expression has the greater value justify your answer
A. -8+4
B. -8×3