Select the correct answer.
Which graph models the function f(x) = 2(x – 4)^2 + 3

Answer:

The answer is A.

Step-by-step explanation:

If you count how many blocks it takes on the y axis, you will get 7 but note that it is reflected so it is -7. If you count how many blocks it takes on the x axis you get -3. So the answer is (-3,-7).

Answer:

C. √18, √7, 5

Step-by-step explanation:

_____________

The value of the probability P(A or B) is 0.77

The given parameters are:

P(A) = 0.64

P(B) = 0.25

P(A and B) = 0.12

The probability is then calculated as

P(A or B) = P(A) + P(B) - P(A and B)

Substitute the known values in the above equation

P(A or B) = 0.64 + 0.25 - 0.12

Evaluate the like terms

P(A or B) = 0.77

Hence, the value of the probability P(A or B) is 0.77

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Answer:

He earned $159

Step-by-step explanation:

7.95 Times 20

Answer:

$159

Step-by-step explanation:

[tex]\frac{1}{20} :\frac{7.95}{y}[/tex]

Cross multiply.

y · 1 = 7.95 · 20

Simplify.

y = 159

Answer:

q = 9

Step-by-step explanation:

the key thing to understand in this problem is the distributive property. which basically means we can muliply what's on the interior of the parenthestes ( in this case q-5) by what's on the outside (4).

so 4 will distrubute to both the q and the -5

4q - 20 = 16

add 20 to both sides

4q = 36

divide both sides by 4

q = 9

Answer:

x =-1 i think

Step-by-step explanation:

Answer:

x = -1

This is because all values of x is -1 no matter the y value

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Answer:

Number of tile need = 300 tiles

Step-by-step explanation:

Given:

Dimensions of floor = 3 m by 4 m

Perimeter of square tile = 80 cm

Find:

Number of tile need

Computation:

Perimeter of square tile = 4(Side)

80 = 4(Side of tile)

Side of tile = 80 / 4

Side of tile = 20 cm

Side of tile = 0.2 meter

Area of tile = 0.2 x 0.2

Area of tile = 0.04

Area of floor = 3 x 4

Side of tile = 12 square meter

Number of tile need = 12 / 0.04

Number of tile need = 300 tiles

Answer:

225,000 revolutions

Step-by-step explanation:

An air conditioning fan makes 125 revolutions per second

The number of revolution in 30 minutes can be calculated as follows

60 secs= 1 min

x= 30 min

= 30×60

= 1800 secs

1800×125

= 225,000

Hence the airconditioning makes 225,000 revolutions in 30 minutes

Answer:

36 cubes

Step-by-step explanation:

the pic is up there

9514 1404 393

Answer:

  600, 1400, 3000, and 5000

Step-by-step explanation:

The profit equation can be simplified.

  P = 350n -(150n +1000)

  P = 200n -1000 . . . . . . . . . collect terms

  P = 200(n -5) . . . . . . . . . . . factor out 200

For the given numbers n, we have ...

  P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}

Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.

Since this bakery sells 12 gourmet orange zest cupcakes for $36.00, all the statements that are true include the following:

A. $3.00/1 is a unit rate for the cost per cupcake.

B. Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.

C. 36/12 represents the ratio of $36.00 for 12 cupcakes.

First of all, we would determine the unit rate for the cost per cupcake by using the following mathematical expression;

Unit rate = Cost of cupcake/number of cupcakes

Substituting the given parameters into the unit rate formula, we have the following;

Unit rate = $36.00/12

Unit rate = $3.00.

This ultimately implies that, the unit rate for the cost per cupcake is equal to $3.00.

Note: 1 dozen is equal to 12 pieces.

For the cost of 2 dozen cupcakes, we have the following:

Cost of 2 dozen cupcakes = 12 × 2 × 3

Cost of 2 dozen cupcakes = $72.00.

For the cost of 8 cupcakes, we have the following:

Cost of 8 cupcakes = 8 × 3

Cost of 8 cupcakes = $24.00.

For the cost of 6 cupcakes, we have the following:

Cost of 6 cupcakes = 6 × 3

Cost of 6 cupcakes = $18.00.

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Complete Question:

A bakery sells 12 gourmet orange-zest cupcakes for $36.00. Select all the statements that are true.

$3.00/1 is a unit rate for the cost per cupcake.

Using the same rate, the bakery can sell 2 dozen cupcakes for $72.00.

36/12 represents the ratio of $36.00 for 12 cupcakes.

Using the same rate, it would cost $24.50 for 8 cupcakes.

Using the same rate, the bakery can sell 6 cupcakes for $20.00.

Answer:

V = π r 2h

Step-by-step explanation:

The solution is, the volume of the cylinder in cubic centimeters

V = π(3.5)2h.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

The volume of a cylinder is given by the equation:

V = π(R)^^2*h

where π = 3.14, R is the radius and h is the height.

If in the image we see that the radius is 7, then the correct option is D.

If in the image we shee that the DIAMETER is 7 (a linear that goes from end to end of the circle and goes trough the middle) then we know that the radius is half of the diameter, 7/2 = 3.5

in this case he correct option is C.

Hence, The solution is, the volume of the cylinder in cubic centimeters

V = π(3.5)2h.

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complete question:

A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?

A) V = π(3.5h)2

B) V = π(7h)2

C) V = π(3.5)2h

D) V = π(7)2h

Answer:

Choice D

Step-by-step explanation:

QS ≈ TR

they have same direction, sense and magnitude

Answer:

B. QR ≅ TS

Step-by-step explanation:

Angle TR shows us that it is a right angle. Flip it to the other side as the inverse and we get the angle QR.

Answer:

The value for 6 is ones that's the answer

Answer:

14) 0.01 or 1/100

15) 0.06

16) 3.02

17) >

18)0.6

19) 100

20) 0.35

Answer:

This type of graph is B a stem graph

Answer:

B. Stem-and-leaf plot.

Step-by-step explanation:

A stem and leaf plot will typically have numbers on the left and right side, with a line separating the numbers. This graph is an example of a stem-and-leaf plot.

A line plot (example shown).

A bar graph (example shown).

A pictograph (example shown).

Answer:

☄ [tex] \large{ \tt{EXPLANATION}} : [/tex]

[tex] \large{ \tt{↬When \: x = - 1 ,\: f( - 1) = - 1 + 5 = \boxed{ \underline{ {4}}}}}[/tex]

[tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \bf{4}}}}}[/tex]

✺ Success can never be achieved by , " I'll do it tommorrow " kind of people !

ツ Hope I helped! ♡

☼ Have a wonderful day / evening ! ☃

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Answer:

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Step-by-step explanation:

Requirement : 12 Ibs gold and 18 Ibs silver  to pay monthly rent

Mine 1 ; 2 Ibs of gold , 2Ibs of silver.

Mine 2; 1 Ib of gold , 3 Ibs of silver

using LP

Gold :  aX1  + bX2 ≥  12   ---------- ( 1 )

Silver:  cX1  + dX2 ≥  18  --------- ( 2 )

where; X1 = days spent in Mine 1

            X2 = days spent in Mine 2

Total days spent in mines : X1 + X2 =

a = Gold found in mine 1  = 2

b = Gold found in mine 2 = 1

c = silver found in mine 1 = 2

d = silver found in mine 2  = 3

Back to equations 1 and 2

2X1 +  X2   ≥  12 ----------- ( 3 )

2X1 + 3X2  ≥  18  ------------ ( 4 )

solving equations 3 and 4

= 0 +  2X2 ≥ 6  ∴ X2 ≥ 3 days  ( days spent in mine 2 )

Input value into ( 3)

2X1 ≥ 12 - 3 = 9

∴ X1 ≥ 4.5 days ( days spent in mine 1 )

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Answer:

41.8°

Step-by-step explanation:

Opposite angles are equal.

Answer:

41.8 degrees

Step-by-step explanation:

They are vertical angles, meaning they are the same, just opposite one another.

Step-by-step explanation:

a² - 25b² can be expressed as a² - (5²)b²

this gives us: a² - (5b)²

using difference of two squares, we have:

(a - 5b)(a + 5b)

Answer:

0.15

Step-by-step explanation:

Total number of students surveyed = 300

From the table,

(Girl n apple) = 46

P(girl n apple) = 46 / 300 = 0.153

The white Christmas tree is 7.55m

Green Christmas tree is twice as tall as white Christmas tree: 7.55 * 2 = 15.1m

High golden Christmas tree: 15.1m - 0.454m = 14.646m

The total height of 3 Christmas trees is: 7.55m + 15.1m + 14.646m = 37.296m

Choose: A 37.296m

Answer:

83,000

Step-by-step explanation:

Thousand = 1,000s place

1,000s place of 83,243 is the 3 (3,000)

The number right before 3 is the 2 (200)

2 is closer to zero than 10 so it rounds down

83,243 then becomes 83,000 since the other numbers before the (2) round down with it.

Answer:

D.five more than the quotient of 6 and a number,

Step-by-step explanation:

To evaluate the the phrase written as :

6/r+5

Here, there is no bracket to make any distinction, hence using the BODMAS mode of evaluation, we deal with the division first before the sum. Hence we interpr te the equation as :

6 / r = quotient ; then, 5 is added to the quotient obtained from the divison of 6 by r.

Given:

The vertices of the triangle ABC are A(2,3), B(-4,4), C(-1,-3).

Translation: [tex](x,y)\to (x+2,y)[/tex]

Reflection: in the x-axis.

To find:

The graph of the image.

Solution:

The vertices of the triangle ABC are A(2,3), B(-4,4), C(-1,-3).

The rule of translation is:

[tex](x,y)\to (x+2,y)[/tex]

The points after translations are:

[tex]A(2,3)\to A'(2+2,3)[/tex]

[tex]A(2,3)\to A'(4,3)[/tex]

[tex]B(-4,4)\to B'(-4+2,4)[/tex]

[tex]B(-4,4)\to B'(-2,4)[/tex]

[tex]C(-1,-3)\to C'(-1+2,-3)[/tex]

[tex]C(-1,-3)\to C'(1,-3)[/tex]

After that the figure is reflected across the x-axis. So, the rule of reflection is:

[tex](x,y)\to (x,-y)[/tex]

[tex]A'(4,3)\to A''(4,-3)[/tex]

[tex]B'(-2,4)\to B''(-2,-4)[/tex]

[tex]C'(1,-3)\to C''(1,3)[/tex]

The vertices of image are A''(4,-3), B''(-2,-4), C''(1,3).

Answer:

[tex]\frac{8-\sqrt{6} }{2}[/tex]

Step-by-step explanation:

To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which in this is 2 - √6.

We can write the expression:

[tex]\frac{3\sqrt{6}+5 }{2+\sqrt{6}} *\frac{2-\sqrt{6}}{2-\sqrt{6} }[/tex]

We can use the special product of the difference of squares to simplify the denominator:

[tex](2 + \sqrt{6})(2-\sqrt{6}) = 2^2 - (\sqrt{6})^2 =4 - 6 = -2[/tex]

We can use distributive for the numerator:

[tex](3\sqrt{6}+5)(2-\sqrt{6})=6\sqrt{6} -18+ 10-5\sqrt{6} =\sqrt{6} -8[/tex]

Now we can rewrite the fraction:

[tex]\frac{\sqrt{6}-8 }{-2} =\frac{8-\sqrt{6} }{2}[/tex]