Select the correct answer from each drop-down menu.
Veronica wants to cut a sheet of paper into squares with an area of 12 square inches. For the best approximation, the length of each side of the square pieces of paper must be approximately equal to
inches. If each side were exactly this length, the area of each square would be
square inches.
Answers
The area of each square would be 36 square inch.
We have,
Area of sheet = 12 square inches
So, the area of square to be cut
= 12in × 12in
= 144 square in
Now, number of squares=4
So, area of each square =144÷4
=36 square inches
Thus, the side of each square is
= 36/4
= 6 inch
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Related Questions
1/2
0
|X| + |Y| < 1
otherwise
Answers
The function designates an area in the X-Y plane where its value is 1/2 and an area where it is 0. By applying the formula |X| + |Y| = 1, the line separating these two regions is defined as equation.
An equation and an example: what are they?When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.
What are equations, and what different varieties are there?Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth.
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The complete question is: Let f(x)={1/2} = 0 and |X| + |Y| < 1, find the value of x.
From Barbie dolls to runway models, women in Western countries are exposed to unrealistically thin and arguably unhealthy body standards for their gender. A body mass index (BMI) between 18.5 and 24.9 is considered healthy. Using a 3D computer avatar, participants built what they considered the ideal body of an adult of their own gender. Below appears a summary of the results for a sample of 40 female heterosexual Caucasian undergraduate students from British universities that had been recruited by the researchers. Mean BMI was recorded to be 18.85 with standard deviation 1.75. Does the data provide evidence that young Caucasian women in British Universities, on average, aim for an unhealthy ideal body type (corresponding to a BMI less than 18.5)? Use α = 0.10.
Required:
a. Construct a 99% confidence interval for the mean BMI for young Caucasian women in British universities using R. Use at least 2 decimals in your answer.
b. Would a 99% CI (for the mean BMI) constructed using a smaller sample than the one used for part a) tend to be wider or narrower? Explain.
Answers
Answer:
(18.1361 ; 19.5639) ;
using a smaller sample will widen the margin
Step-by-step explanation:
Given :
Xbar = 18.85
Standard deviation, s = 1.75
Sample size, n = 40
Confidence interval is obtained using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * s/ √n
Zcritical at 99% = 2.58
Margin of error = 2.58 * (1.75/√40) = 0.7139
Lower boundary = 18.85 - 0.7139 = 18.1361
Upper boundary = 18.85 + 0.7139 = 19.5639
(18.1361 ; 19.5639)
B.)
The sample size, n being the denominator in the margin error formula increases the error value as it reduces or decreases in value Hence widens the interval. Conversely, increasing the sample size reduces the error margin value and ultimately narrows the interval.
Therefore, using a smaller sample will widen the margin
Estimate the slope of the tangent line (rate of change) to f(x) = ² at x = -1 by finding the slopes of
the secant lines through the points:
a. (-2,4) and (0,0)
secant slope, msec=
b. (-1.5, 2.25) and (-0.5, 0.25)
secant slope, msec=
Answers
a. The secant slope through (-2,4) and (0,0) is -2.
b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.
The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.
To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.
a. (-2,4) and (0,0):
The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:
msec = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
msec = (0 - 4) / (0 - (-2))
= -4 / 2
= -2
So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.
b. (-1.5, 2.25) and (-0.5, 0.25):
The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:
msec = (0.25 - 2.25) / (-0.5 - (-1.5))
= (-2) / (1)
= -2
So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.
By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.
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If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answers
Answer:
Step-by-step explanation:
a+√b
a-√b
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
All the roles have now been cast, and the lead actors playing the following parts are gathered around a large circular table for their first read: Jean Valjean, Inspector Javert, Thénardier, Enjolras, Marius, Fantine, adult Cosette, adult Éponine, and Madame Thénardier. It is your job to seat these 9 actors, the 3 producers, and the director around the table.
In Les Misérables, Monsieur Thénardier and Madame Thénardier are married, and during Act 2, Cosette and Marius become married. If the Thénardiers must next to one another, and Cosette and Marius must sit next to one another, but there are no restrictions on how the others can sit, how many different ways can you seat the 13 people around the circular table?
4
17,160
14,515,200
6,227,020,800
Answers
There are 14,515,200 ways to arrange the people around the table
How to determine the number of ways?The given parameters are:
People = 13
Thénardiers = 2 actors
Cosette and Marius = 2 actors
If the married actors must seat together, then the actors must be grouped as 1.
The 2 actors can be arranged in 2! ways each
Now, there are 9 individuals remaining
The 9 people can be arranged in 9! ways
So, the number of ways is
Ways= 2! * 2!* 9!
Evaluate
Ways =14,515,200
Hence, there are 14,515,200 ways to arrange the people around the table
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If \\(z_1=3+2i\\) and \\(z_2=4+3i\\) and are complex numbers, find \\(z_1z_2\\)
Answers
\(z_1z_2=(3+2i)(4+3i)=3\cdot4+2i\cdot4+3\cdot3i+2i\cdot3i\)
\(z_1z_2=12+8i+9i+6i^2\)
\(i^2=-1\), so
\(z_1z_2=12+8i+9i-6=\boxed{6+17i}\)
Find the area of the composite shape.
136 square cm
160 square cm
208 square cm
112 square cm
Answers
13-7=
6
16-8=
8
8 x 6 = 48
48 divided by 2 = 24
ABD=24cm^2
16 x 7 = 112
BECF = 112cm^2
112+48=160cm^2
For the right triangles below, find the exact values of the side lengths b and h. If necessary, write your responses in simplified radical form. b = 300 Х $ ? b 45° 8 h = 60° 459 5 7
Answers
Here, we want to find the exact values of the side lengths b and h
For b, we have to consider its triangle
The side b faces the angle 30 and thus it is opposite to it
The side 7 is adjacent to the angle 30
We have to use the trigonometric identity that relates adjacent to opposite
The trigonometric identity that does this is the cosine
The cosine of an angle is the ratio of opposite to its adjacent
Mathematically;
\(\begin{gathered} \cos \text{ 30 = }\frac{b}{7} \\ \\ b\text{ = 7 cos 30} \\ \\ b\text{ = 7 }\times\text{ }\frac{\sqrt[]{3}}{2} \\ \\ b\text{ = }\frac{7\sqrt[]{3}}{2} \end{gathered}\)For h, we need to apply the appropriate trigonometric identity
As we can see, the angle 45 faces the side h, this means it is opposite
8 represents the hypotenuse
The relationship between opposite and hypotenuse is shown through sine
The sine of an angle is the ratio of the opposite to the hypotenuse
Thus, mathematically;
\(\begin{gathered} \sin \text{ 45 = }\frac{h}{8} \\ \\ h\text{ = 8 sin 45} \\ \\ h\text{ = 8 }\times\text{ }\frac{1}{\sqrt[]{2}\text{ }}\text{ = 4}\sqrt[]{2} \end{gathered}\)A $290 suit is marked down by 20%. Find the sale price.
Answers
Answer:
$232
Step-by-step explanation:
Answer:
232
Step-by-step explanation:
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answers
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
For each of the following expression, write the shape of the resulting tensor. Use commas to separate thedimensions. For example, if the resulting tensor is a 2 by 3 matrix then write 2,3. If the expression is invalid,write None.ones (100) + ones (100)ones (100,1)+ ones (100,1)ones (100,1)+ones (1,100)ones (2,3) + 1
Answers
The result of this addition is a single tensor with 100 elements, which has the shape 100. Therefore, the shape of the resulting tensor is 100.
The expression is ones(100) + ones(100). This expression is valid, and the shape of the resulting tensor is a 100-dimensional vector.
We can calculate this by starting with the shape of each of the tensors. The first tensor, ones(100), is a 1-dimensional tensor with 100 elements. The second tensor, ones(100), is also a 1-dimensional tensor with 100 elements.
When we add these two tensors together, we are combining the elements of each tensor into a single tensor. In this case, we are combining the 100 elements from the first tensor with the 100 elements from the second tensor, resulting in a single tensor with 100 elements.
The result of this addition is a single tensor with 100 elements, which has the shape 100. Therefore, the shape of the resulting tensor is 100.
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if points p and q are contained in a plane, then pq is entirely contained in that plain
Answers
When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.
What are two or more points if they lie on the same line?A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.
Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.
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Please help
A little confused
Answers
Answer: It's D.
Step-by-step explanation:
As you see when you +,-,x fractions, it's easier to -,+,x fractions by fractions.
Answer:
C
Step-by-step explanation:
I think it is C because you can multiply the negatives together
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answers
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
what is the mode following data set: 0.5, 0.3, 0.2, 0.9, 0.3, 0.5, 0.2, 0.3
Answers
Answer:
the mode is 0.3
Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
hope this helps!!!!!!!!
Benny collects 25 empty soda cans each day to bring to the recycling center. Let d represent the total
number of days he has been collecting cans. If he brought 175 cans to the recycling center, which
equation could be used to find the number of days Benny collected cans?
Answers
Answer:
234
Step-by-step explanation:
Answer:
175 divided by 25
Step-by-step explanation:
7 days
the graph of f(x) down below has the same shape as g(x)=x^4 but it is shifted to the left what is the equation
Answers
the equation of f(x) is
f(x)=(x+4)^4What is the equation of the line in slope intercept form perpendicular to the y axis and has the point (-4,5)
Answers
Answer:
y=5
Step-by-step explanation:
If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.
Use the equation
y-y=m(x-x)
y-5=0(x-(-4))
y-5=0
y=5
Answer:
y=5
Step-by-step explanation:
Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations.
(a) The process standard deviation is 0.25, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.75 or greater than 10.25 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number.
Probability of a defect:
Number of defects:
Answers
The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.
To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.
First, we need to standardize the weight limits as follows -
\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4
\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4
Next, we will find the area under the standard normal curve that lies outside of these limits as follows -
P(Defect) = P(Z < -4) + P(Z > 4)
Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x \(10^{-5}\) and P(Z > 4) = 2.8665 x \(10^{-5}\) .
So, the total probability of a defect is -
P(Defect) = 2.8665 x \(10^{-5}\) + 2.8665 x \(10^{-5}\) = 5.7330 x \(10^{-5}\)
Finally, we will find the number of defects for a 1,000-unit production run as follows -
The number of defects = 1000 * 5.7330 x \(10^{-5}\) = 5.73 (rounded to the nearest whole number).
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This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
x =
Two rectangles of different sizes. The first rectangle has a longer side labeled 6.4 inches and a shorter side labeled 3.6 inches. The second rectangle has a longer side labeled 1.6 inches and a shorter side labeled x inches.
Answers
Answer: 0.9 is the answer hope I helped.
Step-by-step explanation:
The require value of side of rectangle(x) is equal to 0.9 in.
What is rectangle?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
According to question:We have;
length of longer side = 6.4 in and loneger side of small rectangle = 1.6 in.
Then,
Scale factor = 6.4/1.6 = 4
It means Sides of big rectangle is 4 times of small rectangle.
We also have smaller side of big rectangle = 3.6 in
3.6 = 4x
x = 3.6/4
x = 0.9
Thus, required value of x is 0.9 in.
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6th grade math help me. :D.....
Answers
4x+28
question 2:
18x-27
Answer:
(1) 4x + 28 (2) 18x- 27
Step-by-step explanation:
the first question 4(x + 7) can be simplified by multiplying the number outside the parenthesis (4) by both of the values inside:
4x + 28 or the last answer choice
in the second question you can use the same method:
9 (2x) = 18x
9 ( -3) = -27
therefore the correct answer choice is 18x - 27
hope this helps :)
Choose the diagram that correctly represents the ordered pairs below.
(1,4), (4, -1), (2,3), (-3, 1), (0,-5)
Answers
Answer:
Step-by-step explanation:
Is there a picture
solve the system of two linear inequalities graphically.
y≤−5x−10
y>x+2
Answers
y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.
To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:
First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.
Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:
0 ≤ -5(0) - 10
0 ≤ -10
This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.
Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.
Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:
0 > 0 + 2
This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.
Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).
The shaded region is shown below:
Graph of y≤−5x−10 and y>x+2
The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.
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At an amusement park, 15 riders ride the race cars every 20 minutes and 35 riders ride the ferris wheel every 60 minutes. Which ride has the greater ratio of riders?
Answers
Answer: the Ferris Wheel
Step-by-step explanation:
Priya followed this set of instructions to make quadrilateral ACBD,
1. Draw 2 points: A and B.
2. Draw a circle centered at A with radius AB.
3. Draw a circle centered at B with radius AB
4. Label the intersection points of the circles C and D.
5. Draw segments AC, BC, AD, and BD.
Choose a description you can be sure is accurate for the shape she constructed.
OA) 2 congruent sides, but not all 4
O B) 4 congruent angles
O C) 4 congruent sides
OD) 4 congruent sides and 4 congruent angles
Answers
The image of (6,9) under a dialation is (4,6). The scale factor is. -2, 2/3, or -2,3
Answers
Answer:
The scale factor is 2/3
Step-by-step explanation:
The image of (6,9) under a dilation is (4,6).
As you might see, there is a ratio between the image after dilating and before dilating, which is 4/6 = 6/9 = 2/3.
=> The scale factor is 2/3.
If the answer is 5 why isn't 5 an option?
Answers
Answer:
because they made a mistake
the measures of ABD is (0.2x+52) and the measures of CBD is (0.2x+42) find the value of x
Answers
The value of x in the triangle is determined as 45.
What is the value of x?The value of x in the triangle is calculated by applying the following formula,.
The measure of angle ABD = 0.2x + 52
The measure of angle CBD = 0.2x + 42
From the diagram, we can set-up the following equations;
x + 16 = 0.2x + 52
Simplify the equation above, by collecting similar terms;
x - 0.2x = 52 - 16
0.8x = 36
Divide both sides of the equation by " 0.8 "
0.8x / 0.8 = 36/0.8
x = 45
Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.
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Translate the phrase into an algebraic expression.
y more than 4
Answers
Answer:
y+4
Step-by-step explanation:
translate this sentence into an equation. The product of hectors height and 5 is 95. Use the variable h to represent hectors height.
Answers
Answer:
h x 5 =95
Step-by-step explanation:
good luck