The triangle shown is dilated with scale factor =1/2 which is the image of vertex s after the dilation

Answer:

if there is 34 pounds in all and 12 guests, you need to start your step by step with the multiplication of 12 x 1, 12 x 2, 12 x 3, etc.

12 x 2 is 24 and 12 x 3 is 36. 34 pounds will not feed all of the people equally, so you must reduce the amount till you can feed the 12 people. I would actually have 2.8 pounds per person. 2.8 pounds x 12 = 33.6

Step-by-step explanation:

multiply

Here's link to the answer:

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Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Complete Question

Let R unrestricted and R restricted be 0.4366 and 0.4149 respectively. The difference between the 9) unrestricted and the restricted model is that you have imposed two restrictions. There are 420 observations. The F-statistic in this case is:_______

A) 10.34

B) 4.61

C) 7.71

D) 8.01

Answer:

The  correct option is  D

Step-by-step explanation:

From the question we are told that

    The  \(R^2_{unrestricted } = 0.4366\)

     The  \(R^2_{restricted } = 0.4149\)

       The  number of observation is  n=  420

Generally the number of independent variables is  k(\(R^2_{unrestricted } , \ n \ \ and \ R^2_{restricted }\))  =  3

Then the number of  restriction is  (i.e \(R^2_{unrestricted } \ and \ R^2_{restricted }\)) is  q =  2

  Generally the F-statistics is mathematically represented as

                \(F = \frac{\frac{R^2_{unrestricted } - R^2_{restricted}}{q} }{ \frac{(1- R^2_{unrestricted }) }{n-k-1} }\)

substituting values

                \(F = \frac{\frac{0.4366 -0.4149}{2} }{ \frac{(1-0.4366) }{420-3-1} }\)      

                 \(F = 8.01\)  

If Jacob ran 10 miles in 80 minutes at that he will run the distance of 18.75 miles in \(2\frac{1}{2}\) hours

Number of miles that Jacob will run in 80 minutes = 10 miles

Number of miles that Jacob will run in 1 minutes = Number of miles that Jacob will run in 80 minutes/ 80

= 10/80

= 0.125 miles

We know,

1 hour = 60 minutes

\(2\frac{1}{2}\) hours = 2.5×60

= 150 minutes

Number of of miles that Jacob will run in 150 minutes = Number of miles that Jacob will run in 1 minutes × 150

= 0.125×150

= 18.75 miles

Hence, if Jacob ran 10 miles in 80 minutes at that he will run the distance of 18.75 miles in \(2\frac{1}{2}\) hours .

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Check the picture below.

Answer:

∠CDF = 48°

Step-by-step explanation:

∠CDE = ∠EDF + ∠CDF

Given that,

∠CDE = 114°

∠EDF = 66°

So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.

∠CDF = ∠CDE - ∠EDF

∠CDF = 114 - 66

∠CDF = 48°

The exponential function that models a 15% decay is: y = (0.85)^t^(1/2)

To find the base that could be written in the blank to make the exponential function model a 15% decay, we can start by understanding the nature of exponential decay.

The general formula for exponential decay is given by:

y = A(1 - r)^t

Where:

y represents the final amount or value after time t.

A is the initial amount or value.

r is the decay rate (expressed as a decimal).

t is the time.

In this case, we want to find the decay rate (r) that corresponds to a 15% decay. A 15% decay means that the final amount is 85% of the initial amount. So, we can write the equation as:

y = A(1 - 0.15)^t

Simplifying further:

y = A(0.85)^t

Comparing this equation to the given form y = (_)t^(1/2), we see that the base in the blank must be 0.85.

Therefore, the exponential function that models a 15% decay is:

y = (0.85)^t^(1/2)

This equation represents a scenario where the initial value or amount (A) is being reduced by 15% over time (t), with the exponent of 1/2 indicating that the decay occurs at a square root rate.

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Answer:it’s f

Step-by-step explanation:

Answer:

f

Step-by-step explanation:

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

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Answer:

5.6 miles

Step-by-step explanation:

7 miles every 80 minutes

7/80

at the same rate we need to find it for 64 minutes

7/80=x/64

x=7*6/80

x=5.6 miles

Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Answer:

I really can't read this

Step-by-step explanation:

Answer:

It's not there but you should be able to type it in

hold shift and press 5

edit: press tab or an arrow on the side and it should show you the %

Step-by-step explanation:

hope this helps<3

-liyah

The requried a measure of the exterior angle ∠4 = 63°.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,

As we know that for a triangle, the sum of the remote interior angle is equal to the measure of the exterior angle.

So, from the figure.

31 + 32 = ∠4

∠4 = 63°

Thus, the requried measure of the exterior angle ∠4 = 63°.

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Answer:

1

Step-by-step explanation:

They are all being multiplied by 3.

1x3=3

5x3=15

6x3=18

9x3=27

Answer:

y=1

Step-by-step explanation:

5x3=15

5,10,15

3,6,9,12,15

6x3=18

6,12,18

3,6,9,12,15,18

9x3=27

9,18,27

3,6,9,12,15,18,21,24,27

| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |10   |

|2 | 4 | 6 | 8 |10| 12|14| 16| 18|20  |

|3 | 6 | 9 |12| 15| 18|21|24|27|30  |

|4 | 8 |12 |16|20|24|28|32|36|40 |

|5 |10|15 |20|25|30|35|40|45|50 |

|6 |12|18 |24|30|36|42|48|54|60  |

|7 |14|21 |28|35|42|49|56|63|70   |

|8 |16|24|32|40|48|56|64|72|80   |

|9 |18|27 |36|45|54|63|72|81|90   |

|10|20|30|40|50|60|70|80|90|100|

Hope the chart and everything helps!

Answer:

Corresponding parts of congruent triangles are congruent

Answer:

10.3

Step-by-step explanation:

hope this helps, if any genius answers as well, give brainliest to them

Answer:

\(\Huge\boxed{A=24.25}\)

Step-by-step explanation:

Herons Formula:

\(A=\sqrt{s(s-a)(s-b)(s-c)}\)

where s =  semi perimeter ( perimeter of triangle divided by 2)

and a,b and c = triangle side lengths

Before we can solve we need to calculate the semi perimeter

7 + 13 + 8 = 28

then we divide by 2

28/2=14

so the semi perimeter is 14

now we plug in everything into the formula

\(A=\sqrt{14(14-13)(14-8)(14-7)} \\14 - 13=1\\14-7=7\\14-8=6\\A=\sqrt{14(1)(6)(7)} \\14*1=14\\14*7=98\\98*6=588\\A=\sqrt{588} \\\sqrt{588} =24.24871131\)

so we can conclude that the area of the triangle is 24.24871131

our final step is to round to the nearest hundredth

A = 24.25

The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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The solution to the system of equation is x  ≤ –4 and x > 4

Given the inequality expression

2x ≤ –8 or 3x + 1 > 13

Solving individually

2x  ≤ –8

Divide both sides by 2

2x/2  ≤ –8/2

x  ≤ –4

For inequality 3x + 1 > 13

3x > 13 - 1

3x > 12

x > 12/3

x > 4

Hence the solution to the system of equation is x  ≤ –4 and x > 4

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Answer:

pic below

Step-by-step explanation:

Answer:

The forth option

It forms a right angle with the segment.

Answer:

B

Step-by-step explanation:

Exponent product rule: If bases are same, add the exponents.

\(a^{m}*a^{n}= a^{m+n}\)

\((5x^{4}y^{2}z^{2}) *(3x^{4}y^{3}z^{5})=(5*3)x^{4+4}*y^{2+3}*z^{2+5}\\\\\\=15x^{8}y^{5}z^{7}\)

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

Answer:

3.65

Step-by-step explanation:

The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6