A rectangle that is 2" x 3" has been scaled by a factor of seven suppose you want to scale the copy back to its original size what scale factor should you use

Answer:

D.) 0.25

Step-by-step explanation:

Because it is not a whole number and decimals don't count as integers

Answer:

  dilation by a factor of 3 about (1, 0)

Step-by-step explanation:

You have correctly surmised that Q is a dilation of P by a factor of 3. The center of dilation is not the origin, so the trick is to figure out where it is.

__

An original point and its dilated image are always on the same line through the center of dilation. Here, that center can be found by drawing lines through the corresponding vertices. The attachment shows the center of dilation is (1, 0) on the x-axis.

The single transformation is ...

  dilation by a factor of 3 about the point (1, 0).

__

Additional comment

You can check this by seeing that each image point is 3 times as far from this center as the corresponding original point.

Answer:

6

Step-by-step explanation:

Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + b^2 = sqrt61^2

25 +b^2 = 61 (sqrt and ^2 cancel out)

-25 from both sides

b^2 = 36

sqrt from both sides

b= 6

Answer:

6 feet

Step-by-step explanation:

a^2+b^2=c^2

a^2+5^2=\(\sqrt{61\\}\)^2

a^2=61-25

a^2=\(\sqrt{36}\)

a=6

Let me know if u need further explanation!

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

The simplified form of the expression is -m-2n+10

Linear equation are equation that has a linear degree of 1. Given the following expression

-3m+7-2n+3-m+3m

Collect the like terms

-3m+3m-m-2n+7+3

-m - 2n +  7 + 3

Simplify to finally have:

-m-2n+10

Hence the simplified form of the expression is -m-2n+10

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An expression for the product √15x * √21x³ without a perfect square

factor in the radicand is: 3x²√35

The number or expression written under a root symbol or radical sign is known as a radicand in math. It is an expression of which we are taking a root.

A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square

√15x * √21x³

The product of roots with the same index is equal to the root, so

√(15x * 21x³)

Calculate the sum inside the radical

√315x⁴

Then, you can simplify the radical expression and move the variable + exponent to get:

3x²√35

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Complete question is:

Write an expression for the product √(15x) * √(√21x³) without a perfect square factor in the radicand.

True. Any solution of Problem 1 (max f(x)) is also a solution of Problem 2 (max f(x) subject to g(x) = c).

True. If Problem 1 does not have a solution, then Problem 2 does not have a solution.

True. Problem 2 (max f(x) subject to g(x) = c) is equivalent to min -f(x) subject to g(x) = c.

False. In Problem 2, the quasi-convexity of f is not a sufficient condition for a point satisfying the first-order conditions to be a global minimum.

The function f(x,y) = 5x - 17y is quasi-concave.

Any solution that maximizes f(x) will also satisfy the constraint g(x) = c. Therefore, any solution of Problem 1 is also a solution of Problem 2.

If Problem 1 does not have a solution, it means that there is no maximum value for f(x). In such a case, Problem 2 cannot have a solution since there is no maximum value to subject to the constraint g(x) = c.

Problem 2 can be reformulated as finding the minimum of -f(x) subject to the constraint g(x) = c. This is because maximizing f(x) is equivalent to minimizing -f(x) since the maximum of a function is the same as the minimum of its negative.

False. Quasi-convexity of f is not a sufficient condition for a point satisfying the first-order conditions to be a global minimum in Problem 2. Quasi-convexity guarantees that local minima are also global minima, but it does not ensure that the point satisfying the first-order conditions is a global minimum.

The function f(x,y) = 5x - 17y is quasi-concave. A function is quasi-concave if the upper contour sets, which are defined by f(x,y) ≥ k for some constant k, are convex. In this case, the upper contour sets of f(x,y) = 5x - 17y are convex, satisfying the definition of quasi-concavity.

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The length of de is 3 unit. The correct answer is B.

The circle contains two secant lines. This is an easy problem to answer using the secant theorem.

According to the statement, the product of one secant and its "outside" portion equals the product of the second secant and its "outside" part if two secants are drawn to a circle from an outside point.

Based on the figure, we can infer:

AX * BX = EX * DX

We let the length to find , DE, be "x".

Thus, we can write:

AX * BX = EX * DX

(7+2) (2) =(x+3)(3)

(9)(2) =3x +9

3x = 18-9

x=3

thus DE = 3units

Your question is incomplete but most probably your full question was

AX and EX are secant segments that intersect at point X. Circle C is shown. Secants A X and E X intersect at point X outside of the circle. Secant A X intersects the circle at point B and secant E X intersects the circle at point E. The length of A B is 7, the length of B X is 2, and the length of X D is 3. What is the length of DE? 1 unit 3 units 4One-half units 4Two-thirds units

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Answer: The answer is B 3 units.

Step-by-step explanation: it show below.

Answer:

  47.5 cm

Step-by-step explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  5700 = 1/2(135 +105)h

  5700 = 120h

  h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

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Two waiters who share tips in the ratio of 3:5 receive the amount of £64 altogether.

Let's assume that one waiter receives x pounds as tips.

According to the given ratio, the other waiter receives 5x/3 pounds as tips since the ratio is 3:5.

We are also given that one waiter receives £16 more than the other. So, we can set up the equation:

5x/3 = x + £16

To eliminate the fractions, we can multiply both sides of the equation by 3:

5x = 3(x + £16)

Simplifying further:

5x = 3x + £48

Subtracting 3x from both sides:

2x = £48

Dividing both sides by 2:

x = £24

Now, we can find the tips received by the other waiter:

5x/3 = 5(£24)/3 = £40

Therefore, one waiter receives £24 and the other receives £40 in tips.

To find the total tips received altogether, we add the amounts:

£24 + £40 = £64

So, the two waiters receive a total of £64 in tips altogether.

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Answer:

\(x=-\frac{11}{18}\)

Step-by-step explanation:

\(-1\frac{7}{9}=(-2\frac{5}{6} + \frac{1}{3})x\)

Solve parenthesis first

\(-2\frac{5}{6} + 1/3\)

Find a common denominator.

The common denominator would be 6.

Because the first expression already has a denominator of 6 it stays the same.

\(\frac{1}{3} = \frac{2}{6}\)

\(-2\frac{5}{6} + \frac{2}{6} = -2\frac{7}{6} = -1\frac{1}{6}\)

Put that into the original equation.

\(-1\frac{7}{9}=(-1\frac{1}{6} )x\)

Isolate the x. Add \(1\frac{1}{6}\) to each side.

\(-1\frac{7}{9}+ 1\frac{1}{6}=x\)

Find a common denominator.

we can use 18 as the common denominator.

\(-1\frac{7}{9}+ 1\frac{1}{6}= -1 \frac{14}{18} +1\frac{3}{18}= x\)

Add.

\(-\frac{11}{18} =x\)

We cannot simplify so our answer stays the same.

Answer:

3/7 & 13/7

Step-by-step explanation:

The probability that a randomly selected jury of 12 people is all male is 2.1 × 10⁻⁵.

What is the probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

An order does not matter so it is a Combination.

There are 16 men and we are going to choose 12 --> ₁₆C₁₂

There are 30 people and we are going to choose 12  --> ₃₀C₁₂

₁₆C₁₂ / ₃₀C₁₂

\(= \frac{16!}{(16 - 12)!} \div \frac{30!}{(30 - 12)!}\)  

= 0.00002104211

= 2.1 × 10⁻⁵

Hence, the probability that a randomly selected jury of 12 people is all male is 2.1 × 10⁻⁵.

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Answer: 34

Step-by-step explanation:

Answer:

T = (m × 20) + 25

(2.5 × 20) + 25 = 75

75 minutes

110 - 25 = 85

85 ÷ 20 = 4.25

4.25 kilograms

Answer:

-11°F

Step-by-step explanation:

when it is cold temperatures lower

-1°F-10°F= -11°F

Answer:

about $0.20

Step-by-step explanation:

44.75/225=0.20

Hopes this helps please mark brainliest

Glados Brown's net pay per month, rounded to the nearest cent is $2,279.93.

The net pay is difference between the gross pay or total earnings for the period and the total taxable deductions.

The net pay is also described as the take-home pay or earnings.

Glados Brown

Gross Pay                  $2,978.39

Medicare                        $73.00

Social Security (5%)     $148.92 ($2,978.39 x 5%)

Federal Withholding

 Income Tax (16%)      $476.54 ($2,978.39 x 16%)

Total deductions        $698.46

Net Pay                   $2,279.93 ($2,978.39 - $698.46)

Thus, we can conclude that at end of each month, Glados Brown will take home (net pay) $2,279.93.

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━━━━━━━☆☆━━━━━━━

▹ Answer

(-2, 1)

▹ Step-by-Step Explanation

4x + 3y = -5

-2x + 2y = 6

4x + 3y = -5

x = -3 + y

4(-3 + y) + 3y = -5

y = 1

x = -3 + 1

x = -2

(x, y) = (-2, 1)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

x = -2

y = 1

Step-by-step explanation:

Solve for x in the second equation.

-2x = 6 - 2y

x = 6/-2 - 2/-2y

x = -3 + y

Put x as -3+y in the first equation and solve for y.

4(-3 + y) + 3y = -5

-12 + 4y + 3y = -5

-12 + 7y = -5

7y = -5 + 12

7y = 7

7/7y = 7/7

y = 1

Put y as 1 in the second equation and solve for x.

x = -3 + (1)

x = -2

The value of x will be 1099.8 when rounded it to the nearest decimals.

㏑(x-4)=7

Taking the exponential (e) both side, we get

\(e^{ln(x-4)} = e^{7}\)

since 'e' and 'ln' cancels each other,

therefore

\(x-4 = e^{7}\)

\(x = e^{7} + 4\)                                                                                                  ..eq 1

Exponential 'e' is the Euler's number, which is a constant having the value of around 2.718281828459045235360.

so putting the value of 'e' in eq 1

\(x = (2.718)^{7} + 4\)

x = 1095.838 + 4

x = 1099.838

therefore when ㏑(x-4)=7 is solved the value of x will be 1099.8.

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Answer:

an=−5+7n

Step-by-step explanation:

I took the same quiz, there is a screenshot provided with the correct answer.

Answer:

f(-8) = 10

Step-by-step explanation:

f(x) = x + 18

f(-8) = -8 + 18 = 10

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

54u - 9v + 45

Step-by-step explanation:

distributive property

Answer:

B. rotation

Step-by-step explanation:

A reflection would mean that the shape would be mirrored across the y-axis or the x-axis. A translation means that nothing about the shape changes except for the location. A dilation (not an answer option but still helpful to know) is the change in size of the shape. And finally, the correct answer for this problem, a rotation means that the shape is rotated at a specific point.

I included a picture that uses a shape to help explain this idea. I hope this helps! Have a lovely day!! :)

Answer:

(2, 7/2)

look up a midpoint formula calculator

Answer:

area is 90 and perimeter is 46

Step-by-step explanation:

the area for a rectangle is l * w, so 18*5 is 90, and the perimeter is 2l+2w, which is 46.

Answer:

Area 90

perimeter 46

Step-by-step explanation:

To find area, you multiply both sides.

to find perimeter, you add up all the sides. Make sure to double each number.

To find the volume of the region bounded above by the cylinder z = 4 - y^2 and below by the paraboloid z = 2x^2 + y^2, we need to calculate the double integral over the region.

The region of interest is defined by the intersection of the cylinder and the paraboloid, which occurs when the z-values of both equations are equal:

4 - y^2 = 2x^2 + y^2

Rearranging the equation, we have:

3y^2 = 2x^2 + 4

To simplify the calculation, we can switch to cylindrical coordinates. In cylindrical coordinates, the equation becomes:

3r^2 sin^2(θ) = 2r^2 cos^2(θ) + 4

Simplifying further, we have:

r^2 = 4/(3 sin^2(θ) - 2 cos^2(θ))

Now we can set up the double integral in cylindrical coordinates:

Volume = ∫∫R (4/(3 sin^2(θ) - 2 cos^2(θ))) r dr dθ

Where R represents the region in the xy-plane that corresponds to the intersection of the cylinder and paraboloid.

Evaluating this double integral over the region R will give us the volume of the bounded region.

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We don't have enough data to provide specific values in this situation for the population mean and standard error.

However, using the 52% probability provided, you can now discover the two values that are symmetrically distributed around the population mean using the Z-score of 0.75 and the standard error.

To determine the two values symmetrically distributed around the population mean, we need to use the concept of a confidence interval.

Given a probability of 52%, we can calculate the confidence interval as follows:
Convert the probability to a confidence level: 100% - 52% = 48%.

So, we have a 48% confidence level.
Divide the remaining probability by 2 to find the percentage of values in each tail: (100% - 48%) / 2 = 26%.

This means 26% of the values lie in each tail.
Use a Z-table or online calculator to find the corresponding Z-score for 26%.

The Z-score represents the number of standard deviations away from the mean. In this case, the Z-score is approximately ±0.75.
Apply the Z-score to the standard error formula:
  Confidence interval = population mean ± (Z-score * standard error)
However, we don't have enough information about the population mean and standard error to provide the exact values in this case.

But with the given probability of 52%, you can now use the Z-score of ±0.75 and the standard error to find the two values symmetrically distributed around the population mean.

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