Answer:
2268 inches of fabric
Step-by-step explanation:
There are 36 inches in 1 yard. Therefore, we multiply 36 by 63 to get an answer of 2268.
Therefore, Emily bought 2268 inches of fabric
Answer:
2268 inches of fabric
Step-by-step explanation:
There are 3 feet in a yard
63*3 = 189 feet
To convert feet to inches, multiple by 12
189*12 = 2268
A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?
Answer:
Devin has to run 3 more meters than Garrett to complete one lap.
Step-by-step explanation:
Since a running track design is composed of two half circles connected by two straight-line segments, and Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R), if r = 30 meters and R = 33 meters, to determine how much longer does Devin have to run to complete one lap, the following calculation must be performed:
33 (lane where Devin is jogging) - 30 (lane where Garrett is jogging) = X
33 - 30 = X
3 = X
Therefore, Devin must run 3 more meters than Garrett to complete one lap.
Tell whether the given value is a solution of the inequality.
5x - 17 > 62; x = 13
Answer:
the given value x=13 is not a solution of the inequality
Step-by-step explanation:
we first need to solve this inequality (can treat the inequality like a normal equation to solve it)
5x-17 > 62
5x > 79
x>(79/5)
keep in mind that (79/5)=15.8
so x needs to be bigger than 15.8 in order to satisfy this inequality.
since 13<15.8 when x=13 it does not satisfy the inequality
therefore the given value x=13 is not a solution of the inequality
Rose bought 60 feet of wire for $16.80 she needs 40 more feet. if the unit price is the same, how much will she pay for the extra 40 feet for wire?
Answer:
she will pay $11.20
Step-by-step explanation:
16.80÷60=0.28
0.28x40=11.20
hope this helps
Solve the following quadratic by
completing the square.
y = x2 + 4x - 2
Answer:
x = √6 - 2 , -√6-2
Step-by-step explanation:
We have ,
=> y = x² + 4x - 2
Let y = 0=> x² + 4x - 2 = 0
=> x² + 2(2)(x) - 2 = 0
=> x² + 2(2)(x) +2² - 2² -2 = 0
=> x² + 2(2)(x) + 2² -4-2 = 0
=> ( x + 2 )² -6 = 0
=> ( x +2)² = 6
=> ( x + 2) = √6
=> x + 2 = ±√6
=> x = √6 - 2 , -√6-2
The solution for x in terms of y is x = √y - 2 + √6.
To solve the quadratic equation y = x² + 4x - 2 by completing the square, we need to follow a few steps:
Step 1: Move the constant term to the right side of the equation:
y + 2 = x² + 4x
Step 2: Take half of the coefficient of x and square it. Add the resulting value to both sides of the equation to create a perfect square trinomial on the left side:
y + 2 + (4/2)² = x² + 4x + (4/2)²
y + 2 + 4 = x² + 4x + 4
y + 6 = (x + 2)²
Step 3: Rewrite the equation in vertex form:
(y + 6) = (x + 2)²
The equation is now in the form y = (x - h)² + k, where (h, k) represents the vertex of the parabola.
Therefore, the vertex is (-2, -6), and the equation represents a parabola that opens upward.
To solve the equation (y + 6) = (x + 2)² for x, we need to isolate x. Here's how:
Start with the equation: (y + 6) = (x + 2)²
Subtract 6 from both sides of the equation: (y + 6) - 6 = (x + 2)² - 6
Simplify: y = (x + 2)² - 6
Take the square root of both sides of the equation: √y = √[(x + 2)² - 6]
Simplify: √y = x + 2 - √6
Subtract 2 from both sides of the equation: √y - 2 = x - √6
Rearrange the equation to solve for x: x = √y - 2 + √6
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4p-1-p=20
solve for p
no links
Answer:
p=7
Step-by-step explanation:
4p-1-p-20=0
3p-21=0
3p=21
p=7
A zoologist selected 12 black bears in a Canadian habitat at random to examine the relationship between the age in years, x, and the weight in tens of pounds, y. The 95 percent confidence interval for estimating the population slope of the linear regression line predicting weight in tens of pounds based on the age in years is given by 1.272 + 0.570. Assume that the conditions for inference for the slope of the regression equation are met. Which of the following is the correct interpretation of the interval?
A. We are 95 percent confident that the mean increase in the weight of a black bear for each one-year increase in the age of the bear is between 7.0 and 18.4 pounds.
B. We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.
C. We are 95 percent confident that for every one-year increase in the age of black bears in the sample, the average increase in the weights of those black bears is between 7.0 and 18.4 pounds.
D. We are 95 percent confident that the mean increase in the age of a black bear for each one-pound increase in the weight of the black bear is between 7.0 and 18.4 years.
E. We are 95 percent confident that any sample of 12 black bears will produce a slope of the regression line between 7.0 and 18.4.
Answer:
A
We are 95 percent confident that the mean increase in the weight of a black bear for each one-year increase in the age of the bear is between 7.0 and 18.4 pounds.
Step-by-step explanation:
The 95 confidence interval given by 1.272±0.570, or (0.702,1.842), estimates the relationship between weight in tens of pounds and age in years. So we are 95 percent confident that the mean increase in the weight of a black bear will be between 7.0 and 18.4 pounds for each one-year increase in the age of the bear.
The correct interpretation of the provided confidence interval is given by:
Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.
How to interpret confidence interval?Suppose the confidence interval at P% for some parameter's values is given by [tex]x \pm y[/tex]
That means, that parameter's estimated value is P% probable to lie in the interval [tex][x - y, x + y][/tex]
For this case, the regression line predicts weight in tens of pounds based on the age in years.
The 95% confidence interval for that prediction is given to be: [tex]1.272 \pm 0.570[/tex]
That means, the predicted value of weight of a black bear (in tens of pounds) when one year age is incremented is 95% probable to lie in the interval [tex][1.272 - 0.57, 1.272 + 0.57] \approx [0.7, 1.84][/tex]
That is for weight in tens of pounds. Converting it to pounds gives us the interval [tex][7.0, 18.4][/tex] approx.
Note the words "prediction", and "of a bear".
That makes us conclude that:
Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.
(focus on the "will result in" phrase. It is taking similar to prediction thing. Since we're taking about regression line which tries to fit line for prediction of future output values for input values, thus, we chose second option.)
Thus, the correct interpretation of the provided confidence interval is given by:
Option B: We are 95 percent confident that an increase of one year in the age of an individual black bear will result in an increase in the black bear's weight of between 7.0 and 18.4 pounds.
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The sum of two numbers is 120. The greater number is 3 times the
smaller. Find these numbers.
Answer:
x= 30, y= 90
Step-by-step explanation:
Let the smaller number be x and the greater number be y.
Given that the sum of the 2 numbers is 120,
x +y= 120 -----(1)
The greater number is 3 times the smaller number:
y= 3x -----(2)
Substitute (2) into (1):
x +3x= 120
Simplify:
4x= 120
x= 120 ÷4 (÷4 on both sides)
x= 30
Substitute x= 30 into (2):
y= 3(30)
y= 90
Answer:
Solution :-Let the first number be x
Then the second number will be 3 × x = 3x
According to the question
3x + x = 120
4x = 120
Taking 4 to RHS
x = 120/4
x = 30
Number are
x = 30
3x = 3(30) = 90
[tex] \\ [/tex]
find the area of each figure. use 3.14 for pi.
Answer:
208
(4×8)+(4x8)+(12×12)
N
10
-10 - -
-5
-8-
PART A:
What is the y-intercept of the line?
What is the slope of the line?
PART B:
What is the equation of the line in slope-intercept form?
Blank 1:
I
Blank 2:
Blank 3:
Answer:
y-intercept: (0,6)
slope = -2
equation: y = -2x + 6
Step-by-step explanation:
1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.
2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]and solve:
[tex]m = \frac{0-6}{3-0}\\m = \frac{-6}{3}\\m = -2[/tex]
So, the slope is -2.
3) With the found information, use the slope-intercept formula [tex]y = mx + b[/tex] to write the line's equation. Substitute values for the [tex]m[/tex] and [tex]b[/tex].
[tex]m[/tex] represents the slope, so substitute -2 in its place. [tex]b[/tex] represents the y-intercept, so substitute 6 in its place. This gives the following equation:
[tex]y = -2x + 6[/tex]
50 Points pls i need help is due in a couple mins
Answer:
I know how to do it but i can't do it in a couple minutes sorry :(
Step-by-step explanation:
Gary can raise his credit score by ________.
A
never borrowing money
B
keeping his debt above 30% of his credit card limit
C
cutting up his credit card
D
paying his bills on time
Answer:
B keeping his debt above 30% of his credit card limit.
The cost of a pair of shoes fell from $66 to $54.
What was the percentage change?
Answer:
18.18%
Step-by-step explanation:
66 - 54 = $12
% change - 12/66 * 100
simplify - 12/66 --> 2/11
2/11 * 100
200/11
18.18%
Can someone answer quick I really need help.
Can someone help ASAP ill give you good rating
Answer: radius is is 12.
Step-by-step explanation:
Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .
Sorry, I'm not sure on the bottom part
We know,
The general equation for circle is –
[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]
[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]
[tex] \bf r \: = \: radius [/tex]
[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]
[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]
[tex] \bf Radius \: = \: 12 [/tex] [Answer]
__________________________________________________
NOTE – Refer the above attachment.
__________________________________________________
Find the value of x, will give brainlist
Answer:
7
Step-by-step explanation:
KU=UM
3x+3=4x-4
x= 7
Simplify fully 4xy2/8xy
1/2y
that's all, hdejshbdjesj
Answer:y/2
Step-by-step explanation:
4xy^2/8xy
y/2
x will be cancelled with x and y in denominator with one y in neumenator so one y in neumenator is left and 4/8 is 1/2 so that's all
Write an example of a Counter Variable
in python code
Answer:
printf(“%d”, i++);
Step-by-step explanation:
Answer:
count += 1
OR
count = count + 1
Step-by-step explanation:
count = 0
numbers = int(input("Enter a number: "))
while number > 0:
number = number // 10
count +=1
print("Total number of digits", count)
I’m not understanding what to do here
Answer:
27/50 is the answer.
Step-by-step explanation:
At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, the angle of elevation to the top is °.
Answer:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
Incomplete question:
[tex]\angle CBD = 53^\circ[/tex]
[tex]\angle CAB = 35^\circ[/tex]
[tex]AB = 75[/tex]
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
[tex]\angle ABC + \angle CBD = 180[/tex] --- angle on a straight line
[tex]\angle ABC + 53= 180[/tex]
Collect like terms
[tex]\angle ABC =- 53+ 180[/tex]
[tex]\angle ABC =127^\circ[/tex]
[tex]\angle ABC + \angle ACB + \angle CAB = 180[/tex] --- angles in a triangle
[tex]\angle ACB + 127 + 35 = 180[/tex]
Collect like terms
[tex]\angle ACB =- 127 - 35 + 180[/tex]
[tex]\angle ACB =18[/tex]
Apply sine rule
[tex]\frac{\sin A}{a} = \frac{\sin B}{b}[/tex]
In this case:
[tex]\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}[/tex]
This gives:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
sin18
∘
)
=
x
(sin35
∘
)
Step-by-step explanation:
Incomplete question:
\angle CBD = 53^\circ∠CBD=53
∘
\angle CAB = 35^\circ∠CAB=35
∘
AB = 75AB=75
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
\angle ABC + \angle CBD = 180∠ABC+∠CBD=180 --- angle on a straight line
\angle ABC + 53= 180∠ABC+53=180
Collect like terms
\angle ABC =- 53+ 180∠ABC=−53+180
\angle ABC =127^\circ∠ABC=127
∘
\angle ABC + \angle ACB + \angle CAB = 180∠ABC+∠ACB+∠CAB=180 --- angles in a triangle
\angle ACB + 127 + 35 = 180∠ACB+127+35=180
Collect like terms
\angle ACB =- 127 - 35 + 180∠ACB=−127−35+180
\angle ACB =18∠ACB=18
Apply sine rule
\frac{\sin A}{a} = \frac{\sin B}{b}
a
sinA
=
b
sinB
In this case:
\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}
AB
sinACB
=
x
sinCAB
This gives:
\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}
75
(sin18
∘
)
=
x
(sin35
∘
)
what is
1 3/5 + 1 1/5
Answer:
2.8
Step-by-step explanation:
i used a calculator
Help me what is the total volume I’ll mark brainliest!
Answer:
600 ft
Step-by-step explanation:
Mark as brainilest
And I'm only 80% sure that is the correct
After how many minutes are Emily and Jennifer charged an equal amount?
Answer:
8
Step-by-step explanation:
After 30 minutes Emily and Jennifer charged an equal amount
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Let us find charges for emily and Jennifer
For Emily
The line passing through points (0, 6) and (6, 8)
Slope =2/6=1/3
y intercept is 6
6=b
Equation is y=1/3x+6
Now let us find for Jennifer (0, 4) and (5, 6)
m=2/5
y intercept is 4
Equation is y=2/5x+4
Now equation both equations
1/3x+6=2/5x+4
1/3x-2/5x=4-6
x(1/3-2/5)=-2
x(5-6)/15=-2
-x/15=-2
x=30
Hence, after 30 minutes Emily and Jennifer charged an equal amount
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The price (p) of a lunch special is $8.50. The restaurant increases the price by 12%. Which statements are true for this situation?
Answer:
a b e
Step-by-step explanation:
The cost of the lunch after a 12% of increment will be $9.52. Then the correct options are A, B, and E.
What is the percentage?How much any item is given like it was an extent of 100. The proportion can be communicated as a fourth of 100. The expression % deciphers for 100%. It is represented by the person '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The cost (p) of a lunch unique is $8.50. The eatery builds the cost by 12%.
The total amount of lunch will be given as,
⇒ p + 12% of p
⇒ p + 0.12p
⇒ 1.12p
Put p = $8.50, then the cost is given as,
⇒ 1.12 x $8.50
⇒ $9.52
The expense of the lunch after a 12% of augmentation will be $9.52. Then, at that point, the right choices are A, B, and E.
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The complete questions are attached below.
I really should’ve payed attention in 10th grade huh?
A. 32 square units
B. 17 square units
C. 16 square units
D. 32 square units
Answer:
c
Step-by-step explanation:
Answer:
it might of helped lol
Step-by-step explanation:
C is your answer sorry it took me awhile
Have a blessed day :)
What is the value of X in the figure?
Enter your answer in the box.
X =
Answer:
29 degrees
Step-by-step explanation:
x + 61 = 90
x = 90 - 61
x = 29
This scatter plot show the relationship between the temperature and amount of sales at a store. The line of best fit is shown on the graph.
a. The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of b. Round your estimate to the nearest whole number.
b. Enter the approximate slope of the estimated line of best fit in the second box.
Answer:
a) b ≈ 100
b) m ≈ 30
Step-by-step explanation:
help me please. Very much appreciated
Divide the figure into 3 shapes: 2 rectangles and 1 square
Area of rectangle 1: L * W
L = 5, W = 2
2 * 5 = 10 m^2
Area of rectangle 2: L * W
L = 6 + 2 , W = 3
8 * 3 = 24 m^2
Area of square: s^2
2^2 = 4 m^2
Add all them together
10 + 24 + 4 = 38 m^2
Step-by-step explanation:
Area of the top Horizontal Rectangle =
Length x Width
=
[tex](5 + 3 + 2) \times 2 \\ = 10 \times 2 \\ = 20 {m}^{2} [/tex]
Area of the bottom vertical rectangle =
Length x Width
=
[tex]6 \times 3 \\ = 18 {m}^{2} [/tex]
Total Area = Sum of Area of 2 Rectangles
=
[tex]20 + 18 \\ = 38 {m}^{2} [/tex]
1. If AD = 25, then BC =
2. If AB = 30, then DC =
Answer:
1. BC=25
2. DC=30
Step-by-step explanation:
In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.
lmk if im wrong, hope this helps :)
Question 6
1 pts
Connie is eating with friends at a restaurant. Of the 25 people she sees in the
restaurant, 10 are wearing blue jeans, and 15 are not. What is the experimental
probability that the next person to come into the restaurant will be wearing blue
Answer:
2/5
Step-by-step explanation:
The area for the square below is 49 inches. What is the measurement of
one side in inches? *
5
6
7
8
Answer:
7
Step-by-step explanation:
Area for a square is s² where 's' is a side (all sides have the same length)