Question #19- Use the answer bank below to fill in missing parts of the proof.
Given: PQPR
Prove: QR
P
R

Answer:

The customer is wrong

Step-by-step explanation:

The first picture is the black tag, the reduced price would be 14.7, the next picture would be another 25% (11.03) off of that 14.7 black tag price.

Answer:

$24 sold

Step-by-step explanation:

Omar sold 4

(4x6=24)

Debra sold 3

(3x8=24)

Answer:

x=2

Step-by-step explanation:

ok so this is just a substitution problem.

we need to get the variable (x) by itself on one side.

4x+8=16. so, lets remove 8 from the left side, and whatever we do to one side also has to happen to the other.

4x+8=16

    -8  -8

4x=8. So now, we want to get 4 separate from x, and the only thing we can do is divide.

4x=8

/4  /4

x=2. there you have it, x is 2.

Answer:

X=2

Step-by-step explanation:

4x+8=16

4x=8

x=2

4(2)+8=16

8+8=16

16=16

Answer: 4.5 hours

Step-by-step explanation:

Distance = speed + time

544.5 = 61t + 60t

t = 544.5/121 = 4.5 hours

Answer:

x=7

Step-by-step explanation:

The two marked angles in the image are supplementary, so we can form the following equation:

2x-3=x+4

We can solve that equation to find x.

2x-3=x+4

2x=x+7

x=7

I hope this helps.

Answer:

(A)1 cm

Step-by-step explanation:

Volume of the Prism before the cubes were removed[tex]=6 X 4 X 2 = 48$ cm^3[/tex]

Volume of the Prism after the 4 cubes were removed[tex]=44$ cm^3[/tex]

Therefore, Volume of the 4 cubes

[tex]=48cm^3-44cm^3\\=4cm^3[/tex]

If Volume of the 4 cubes = 4 cubic centimeter

Volume of a cube of side length s[tex]=s^3[/tex]

Therefore:

[tex]s^3=1 cm^3\\$Side Length, s=1 cm[/tex]

The side length of 1 cube that was removed is 1 cm.

The correct option is A.

Answer:

A

Step-by-step explanation:

1cm

Answer:

b

Step-by-step explanation:

just only do B

where x=0, y=2

Answer: a. f(x)=4^x

Step-by-step explanation:

For these given four sets of data, Set: 4 has the largest standard deviation.

"Standard deviation is a measure of the amount of variation or dispersion of a set of values.

A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."

Set: 1 {10, 19, 38, 50, 513}

Number of terms = 5

Mean = (10 + 19 + 38 + 50 + 513)/5 = 630/5 = 126

Standard deviation

= [√{(10 - 126)² + (19 - 126)² + (38 - 126)² + (50 - 126)² + (513 - 126)²}/5]

=  [√(13456 + 1149 + 7744 + 5776 + 149769)/5]

= 188.62

Set: 2 {5, 21, 26, 39, 51}

Number of terms = 5

Mean = (5 + 21 + 26 + 39 + 513)/5 = 604/5 = 120.8

Standard deviation

= [√{(5 - 120.8)² + (21 - 120.8)² + (26 - 120.8)² + (39- 120.8)² + (513 - 120.8)²}/5]

=  [√(11193.64 + 9960.04 + 8987.04 + 6691.24 + 153820.84)/5]

= 195.27

Set: 3 {9, 38, 50, 50, 513}

Number of terms = 5

Mean = (9 + 38 + 50 + 50 + 513)/5 = 650/5 = 130

Standard deviation

= [√{(9 - 130)² + (38 - 130)² + (50 - 130)² + (50 - 130)² + (513 - 130)²}/5]

=  [√(14641 + 8464 + 6400 + 6400 + 146689)/5]

= 191.1

Set: 4 {5, 28, 28, 28,513}

Number of terms = 5

Mean = (5 + 28 + 28 + 28 + 513)/5 = 602/5 = 120.4

Standard deviation

= [√{(5 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (513 - 120.4)²}/5]

=  [√(13317.16 + 8537.76 + 8537.76 + 8537.76 + 154134.76)/5]

= 196.5

Therefore, Set: 4 has the largest standard deviation.

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Answer:

The smallest whole number that can be the value of the expression is 2

Step-by-step explanation:

Given that the letters represent different digits, to get the smallest whole number value for the expression we have;

[tex]\dfrac{K \times A \times N \times G \times A \times R \times O \times O}{G \times A \times M \times E}[/tex]

The letters G and A cancel out from the numerator and the denominator to give;

[tex]\dfrac{K \times A \times N \times R \times O \times O}{M \times E}[/tex]

Therefore, the smallest whole number can be from 2 and above as the product of six digits is more than one times the product of two digits

If we put

K = 2, A = 3, N = 4, R = 6, O = 1, M = 9, and E = 8, we have;

[tex]\dfrac{2 \times 3 \times 4 \times 6 \times 1 \times 1}{9 \times 8} = \dfrac{144}{72} =2[/tex]

Therefore, the smallest whole number that can be the value of the expression = 2.

Answer:

Number sense and operations, algebra, geometry and spatial sense, measurement, and data analysis and probability. Im a 10th grader in AP calc and I can tell u that is literally all that matters :)

Step-by-step explanation:

Answer:

207 inches

Step-by-step explanation:

23*9=207

Answer:

23 inches long by 9 inches wide.

Step-by-step explanation:

if the mat add one inch to the sides then just add one to the measurements.

Answer:

A. 2pi/3

4\sqrt{5}\pi -2\sqrt{5}\pi =2\sqrt{5}\pi

=\frac{2\sqrt{5}\pi }{\left(3\sqrt{5}\right)'\:}

Answer:

The answer is A

Step-by-step explanation:

Answer:

is this helpful for you

Step-by-step explanation:

sugar: 12/3

flour:31/4

sugar:4

flour:7.75

3.7

Answer:

C.[tex]f(n) = 3(2)^n[/tex] ; 48 strands of bacteria

Step-by-step explanation:

Fred placed 3 strands of bacteria in a petri dish.

The bacteria strands double every hour.

Formula : y = ab^x

Where a is the initial value

b = growth rate

x = hours

So, A formula to represent how many bacteria strands are present at the nth hour : [tex]f(n)=3(2)^n[/tex]

Now we are supposed to find how many strands of bacteria are present at 4 hours.

Substitute the value in the formula :

[tex]f(4)=3(2)^{4}[/tex]

f(4)=48

Hence 48 strands of bacteria are present at 4 hours.

Answer:

f(n) = 3(2)n; 48 strands of bacteria

Step-by-step explanation:

Answer:

Acceleration due to gravity is a constant

Step-by-step explanation:

gravity is a force pulling an object to the center of the earth this force also never changes

Acceleration due to gravity is a constant for the earth at every place.

Acceleration of any object is defined as the variation in the speed of the object with the variation of time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of acceleration can be m / sec², miles / sec², etc.

Gravity is a force that pulls an object toward the center of the earth, and this force never changes, hence acceleration due to gravity is a constant for the earth in all places.

Therefore, acceleration due to gravity is a constant for the earth at every place.

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Answer:

what do u mean

do u mean does Venn diagram cover another diagrqm

Answer:

2107

Step-by-step explanation:

Answer:

2107

Step-by-step explanation:

x(x-6)

49(49-6)

49(43)

49×43 = 2107

Answer:

a) - Compressing the P(new) function by a scale of 0.5 about the y axis.

- Moving the P(new) function down by 104 units.

b) The two simplified functions for P(original)

-0.08x² + 10.8x – 200.

-0.16x² + 21.6x – 504.

Step-by-step explanation:

Complete Question

An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x² + 21.6x – 400.

a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.

b. Write the two possible functions from part a in simplified form.

Solution

The equation for the new profit function is

P(x) = -0.16x² + 21.6x – 400

At x = 40, the original profit function is half the size of the new profit function

First, we find the value of the new profit function at x = 40

P(x) = -0.16(40)² + 21.6(40) – 400 = 208

Half of 208 = 0.5 × 208 = 104

P(original at x = 40) = P(new at x = 40) ÷ 2

Since we are told that P(original) is a simple transformation of the P(new)

P(original) = P(new)/2 = (-0.16x² + 21.6x – 400)/2 = -0.08x² + 10.8x – 200 ... (eqn 1)

Or, P(original) = 104

-0.16x² + 21.6x – 400 = 104

P(original) = -0.16x² + 21.6x – 400 - 104 = -0.16x² + 21.6x – 504.

So, the two functions that are simple transformations of P(new) to get P(original) are

-0.08x² + 10.8x – 200

Obtained by compressing the P(new) function by a scale of 0.5 about the y axis.

And

-0.16x² + 21.6x – 504.

Obtained by moving the P(new) function down by 104 units.

Hope this Helps!!!

Answer:

2. y=x+7

Step-by-step explanation:

y=x+7

x        y

0        7        

1         8

2        9

3        10

The first set of ordered pairs are (0,7)

Answer:

6. He had Rs728.

7. There are 1875 pupils in the school.

Step-by-step explanation:

6.

He started with x amount of money.

He spent 1/4 of x. x - (1/4)x = (4/4)x - (1/4)x = (3/4)x

After buying the lottery tickets, he had (3/4)x left.

Then he spent 2/7 of the remainder on scratch cards.

He spent 2/7 of (3/4)x on scratch cards. Since he spent

2/7 of the reminder on scratch cards, he has 5/7 of the reminder left.

5/7 * (3/4)x = (15/28)x

He has (15/28)x left. He has Rs390 left.

(15/28)x = 390

15x = 390 * 28

15x = 10920

x = 728

Answer: He had Rs728.

7.

8/15 of the pupils are girls.

1 - 8/15 = 15/15 - 8/15 = 7/15

7/15 of the pupils are boys.

Let x = total number of pupils in the school

(8/15)x = (7/15)x + 125

Multiply both sides by 15.

8x = 7x + 1875

x = 1875

Answer: There are 1875 pupils in the school.

Answer:

h(x + 2) = 2x + 5

Step-by-step explanation:

So if you add 2 to x, you have to change the x value.

Since h(x) = 2x + 1, h(x + 2) = 2(x + 2) + 1

h(x + 2) = 2x + 5

Answer:

SUPPORT: 75% of 100 > 50% 10

REFUTE: 75% of 1 < 50% 6

Step-by-step explanation:

75% of 100 is 75, and 50% of 10 is 5. 75 > 5, and that supports the claim

75% of 1 is 0.75, and 50% of 6 is 3. 0.75 < 3, and that refutes the claim.

Similar triangles may or may not be congruent.

The true statement is (c) No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

The given parameters are:

[tex]\mathbf{\angle ABC = 53}[/tex]

[tex]\mathbf{\angle ECD = 40}[/tex]

From the image of the triangles (see attachment);

The triangles are similar if:

[tex]\mathbf{\angle ABC + \angle ECD = 90}[/tex]

Substitute the given values

[tex]\mathbf{53 + 40 = 90}[/tex]

[tex]\mathbf{93 = 90}[/tex]

The above equation is not true, because:

[tex]\mathbf{93 \ne 90}[/tex]

Hence, the triangles are not similar by AA

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Answer:

c

Step-by-step explanation:

Answer:

59550

Step-by-step explanation:

Answer:

$59550

Step-by-step explanation:

Amount of down payment

= 15% of $397,000

= 0.15 * $397,000

= $59550

Answer:

20 %

Step-by-step explanation:

We need to find what percent is 16 of 80.

1). 16 / 80 = 0.2 = 20 %

Answer:

Y x 80 = 16. If we undo the multiplication and make 16/80=Y

16/80=0.2

Convert to percentage

0.2=20%

20% is your answer

Step-by-step explanation:

Answer:

[tex] \angle 2 \cong \angle 6 [/tex]

Step-by-step explanation:

The only pair of corresponding angles in the choices is angles 2 and 6.

Answer:

[tex] \angle 2 \cong \angle 6 [/tex]

Answer:

A

Step-by-step explanation:

take out the 'y' and the equation is left to 2x=10 and you divide 2x and 10 by 2

Answer:

15.924

Step-by-step explanation:

The difference between these two integers is 15.924.

Given that,

The one integer is 28.935.

And, the other integer is 13.011.

We need to find out the difference between these two integers.

So,

The difference is

= 28.395 - 13.011

= 15.924

Therefore we can conclude that the difference between these two integers is 15.924.

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Answer:

The slope is 3

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

   = (11 -2)/(6-3)

   = 9/3

    = 3

Answer:

y = 3x – 7

Step-by-step explanation:

[tex]\frac{y_{2} }{x_{2} } -\frac{y_{1} }{x_{1} }[/tex]

[tex]\frac{11}{6} -\frac{2}{3} =[/tex]

[tex]\frac{9}{3} =[/tex]

3

The y-intercept of the slope is -7 if you graph it. So from the equation: y = mx + b, we get y = 3x - 7. (m is slope, b is y-intercept)