What is the minimum hot-holding temperature requirement for pizza?
O a. 125°F (52°C)
O b. 130°F (54°C)
O c. 135°F (57°C)
O d. 140°F (602)
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Answer:

1458/3456 = 27/64 (simplification)

cube root of 27/64 = 3/4

square of 3/4 = 9/16

9/16 multplied by 1024 = 576.

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The surface area of the smaller container is 576 cm²

Two shapes or solids are similar if their corresponding sides are in the same proportion and their corresponding angles are equal.

Given that, The two containers are mathematically similar in shape, the larger container has a volume of 3456 cm³ and a surface area of 1024 cm². The smaller container has a volume of, 1458 cm³.

We know, that the cube of scale factor is equal to ratio of volumes of given shape and ratio of surface area is equal to square of scale factor.

1458/3456 = 27/64

∛27/64 = 3/4

Therefore, the scale factor = 3/4

(3/4)² = 9/16

9/16x1024 = 576.

Hence, The surface area of the smaller container is 576 cm²

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Answer:

[tex]\sqrt{37}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(- 2, 9) and (x₂, y₂ ) = B(4, 8)

d = [tex]\sqrt{(4+2)^2+(8-9)^1}[/tex]

   = [tex]\sqrt{6^2+(-1)^2}[/tex]

   = [tex]\sqrt{36+1}[/tex]

    = [tex]\sqrt{37}[/tex] ≈ 6.1 ( to 1 dec. place )

f • g denotes the product of f and g, so that

[tex](f\cdot g)(x)=f(x)\cdot g(x)=(3x-8)(-2x+5)[/tex]

Without computing the whole product, just look at the first terms, [tex]-6x^2[/tex]. This tells you that f • g is quadratic, and its graph is a stretched parabola that opens downward.

You can treat the product g • s similarly:

[tex](g\cdot s)(x)=(-2x+5)(4x^2-9x+2)[/tex]

The leading term is [tex]-8x^3[/tex], so the graph should resemble a stretched cubic curve reflected across the x axis.

The leading term is , so the graph should resemble a stretched cubic curve reflected across the x axis.

Answer:

d on edginuity

Step-by-step explanation:

i know for a fun fact

Answer:

36

Step-by-step explanation:

Let's call the # of boys and girls 5x and 3x respectively. We can write:

5x = 3x + 24

2x = 24

x = 12 so the # of girls = 12 * 3 = 36

Answer:

solution,

Let the number of girls be X

Number of boys be 'x+24'

Now,

[tex] \frac{x + 24}{x} = \frac{5}{3} \\ or \: 3(x + 24) = 5x \\ or \: 3x + 72 = 5x \\ or \: 3x - 5x = - 72 \\ or \: - 2x = - 72 \\ or \: x = \frac{ - 72}{ - 2} \\ x = 36[/tex]

hope this helps..

Good luck on your assignment..

Answer:

1&5

Step-by-step explanation:

A pair of corresponding angles from the diagram is ∠1 and ∠5.

The correct option is C.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given:

We have two parallel lines.

And a line intersects the parallel lines.

The corresponding angles are,

∠1 and ∠5.

∠2 and ∠6.

∠3 and ∠7 etc.

From the given choices,

∠1 and ∠5.

Therefore, from the given choices,

∠1 and ∠5.

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Answer:

(-1,-2)

Step-by-step explanation:

y≥-2x

y>|x+|^?

according to the graph only (-1,-1) are in the shaded area

Answer:

the correct answer is

lets say the number xy (x in tens place and y in units place)

first equation (x+y =10 i.e x=10-y

also 3x-2y=15 i.e 2y=3x-15)

second equation

substitution the value of x from first equation in second equation (or you can do vice- versa)gives you 2y=3(10-y)-15 and so,

2y=30-3y-15 i.e5y=15 and y=3

since x=10-y; x=10-3 which is 7

the answer is 73.

Step-by-step explanation:

hope this helps you!!!!

Answer:

B

Step-by-step explanation:

The "..." at the end of B tell us that it's a repeating decimal so B is irrational. Of course, you can't use this reasoning for every repeating decimal but in this case it works.

Answer:

X=4

Step-by-step explanation:

12x-3=45

12x. =45+3

12x. =48

X=4

The value of x is 10, given that the two triangles are similar to each other.

The corresponding sides of a pair of similar triangles are in proportion.

This can be shown like this:

If Δ ABC ~ Δ XYZ, that is, triangle ABC is similar to triangle XYZ, we can write that,

AB/XY = BC/YZ = CA/ZX.

In the question, we are asked to find the value of x, given that triangle SER is similar to triangle GEF.

∴ Δ SER ~ Δ GEF.

By properties of similar triangles, we can write that:

SE/GE = ΔER/EF = RS/FG,

or, 45/(12x - 3) = 55/143 = RS/FG.

We can use the first two parts of the relation, to form an equation in x, and solve for it.

∴ 45/(12x - 3) = 55/143

or, 12x - 3 = (45 * 143)/55 =  117

or, 12x = 117 + 3 = 120

or, x = 120/12 = 10.

∴ The value of x is 10, given that the two triangles are similar to each other.

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Answer:

C

Step-by-step explanation:

We start with the second line;

3x -2y + 4 = 0

3x + 4 = 2y

divide through by 2

3x/2 + 2 = y

Comparing this with standard form of y = mx + c

where m is slope

This means 3/2 is slope of the line

Since this line is perpendicular to the other line, then the product of their slopes is -1

3/2 * slope of second line = -1

Slope of second line = -1 divided by 3/2 = -2/3

We use the point slope form to find the equation of the other line

y-y1 = m(x-x1)

where m = -2/3 and (x1,y1) = (2,-3)

y-(-3) = -2/3 (x-2)

y + 3 = -2/3 (x -2)

3(y + 3) = -2(x-2)

3y + 9 = -2x + 4

3y + 5 = -2x

3y + 2x + 5 = 0

Answer:

20

Step-by-step explanation:

y = 35x + c

Put x as 1, and y as 55.

55 = 35(1) + c

55 - 35 = c

20 = c

Answer:

substitude (2x+4) for y in the second equation

Answer:

top right

Step-by-step explanation:

Because the first equation is already set up for us in the form "y = something" the easiest way would be to substitute (2x + 4) for y in the second equation.

Answer:

24 terminal zeros

Step-by-step explanation:

Here, we want to know the number of terminal zeros that the product if the integers above has

Terminal zeros refer to the zeros at the right of the last non zero digits

The product we are dealing with is;

80^16 * 75^8

80^16 itself has 16 terminal zeros

while 75^8 should have 8 terminal zeros

So the total number of expected terminal zeros is simply the addition of both terminal zeros and that gives 16 + 8 = 24 terminal zeros

Answer:

24

Step-by-step explanation:

Answer:

1.206

Step-by-step explanation:

13.4 × 0.05 × 1.8

= 67/5 × 5/100 × 9/5

= 603/500

= 1.206

Answer:

a. C = 7x

b. $1820

Step-by-step explanation:

Let the number of students the bus carries be x.

a. It costs $7 for every student that they bus.

Therefore, the cost of the school hiring the bus is:

C = 7 * x

C = 7x

b. To bus 260 students, then, the cost will be:

C = 7 * 260

C = $1820

Answer:

12a^2+18ab-6ac+25a-3b+c

Step-by-step explanation:

Answer:

[tex] \frac{3}{20} [/tex]

Step-by-step explanation:

[tex]15\% = \frac{15}{100} [/tex]

So,

[tex] \frac{15 \div 5}{100 \div 5} = \frac{3}{20} [/tex]

hope this helps you.

Answer:

Option D.

Step-by-step explanation:

If a number can be written in the form of [tex]\dfrac{p}{q},q\neq 0[/tex], then it is know as rational number.

We know that,  

Terminating decimal is always a rational number. and non-terminating decimals are rational if they are repeating decimals.

From the given options all numbers are non-terminating decimals but 5.3333333... is a number with repeating decimal.

So, 5.3333333... is a rational number.

Therefore, the correct option is D.

Answer:

6 cm

Step-by-step explanation:

If the linear scale factor of two solids is k, then the volume scale factor is k^3.

The volume scale factor is 128/54 = 64/27 = (4/3)^3.

The linear scale factor is 4/3.

4.5 cm * 4/3 = 6 cm

Answer: The height of the larger container is 6 cm.

The height of the larger container is 6cm.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that two containers are mathematically similar.

Their volumes are 54cm³ and 128cm³.

The height of the smaller container is 4.5cm.

We need to find the height of the larger container

Let the linear scale factor of two solids is k, then the volume scale factor is k³.

The volume scale factor is 128/54

= 64/27

= (4/3)³.

The linear scale factor is 4/3.

Now multiply 4/3 with the 4.5.

4.5 cm × 4/3 = 6 cm

Hence, the height of the larger container is 6cm.

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Answer:

5 batches of bagels-15 cups of flour

1 batch of bagels - 15 cups is flour/5

=3 cups of flour(ciro)

20 batches of bagels-15 cups of flour ×4

=60 cups of flour(johanna)

Answer:

8.533333

Step-by-step explanation:

9^(− 1/ 2 )+25− 1 2 +32^ (3/ 5) = 9 (−1 /2) +25(− 1 /2) +32 ^(3 /5)

=0.333333+25^(− 1/ 2) +32 ^(3 /5)

=0.333333+25 ^(−1 /2) +32 ^(3/ 5)

=0.333333+0.2+32^ (3/ 5)

=0.533333+32 ^(3 /5)

=0.533333+8

=8.533333

Answer:

-822

Step-by-step explanation:

Not sure how to explain.

Answer:

-18

Step-by-step explanation:

d(1) = 1/12

d(2)=d(1) • (-6)=-1/2

d(3)=d(2)•(-6)=3

d(4)=d(3)•(-6)=-18

Answer:

x = -45.

Step-by-step explanation:

-x - y = 30

-x - 15 = 30

x + 15 = -30

x = -45

To check we are correct...

-(-45) - y = 30

45 - y = 30

-45 + y = -30

y = 15

So, x = -45.

Hope this helps!

Answer:

x = -45

Step-by-step explanation:

-x - y = 30

Let y = 15

-x - 15 = 30

Add 15 to each side

-x-15+15 = 30+15

-x = 45

Multiply each side by -1

x = -45

Answer: After 210 seconds they with next flash at the same time.

Step-by-step explanation:

Given: Ardem has two lights.

One flashes every 15 seconds the other flashes every 42 seconds.

If they started flashing at the same time, then the number of seconds after that they with next flash at the same time = LCM (15, 42)   [LCM - Least common multiple]

Prime factorization of 15 = 3 x 5

Prime factorization of 42 = 2 x 3 x 7

Then, LCM (15, 42) = 2 x 3 x 5 x 7 = 210

i.e. After 210 seconds they with next flash at the same time.

Answer:

59 kph

Step-by-step explanation:

The train goes 327 in 5 and 1/2 hours

So we do 327 / 5.5 = 59.49.....

Then we round down to get:

59 kpm

Answer:

Approximately 3.2362.

Step-by-step explanation:

Recall that definition of cosecant and sine:

[tex]\displaystyle \sin(\theta) = \frac{1}{ \csc(\theta) }\text{ and } \csc(\theta)=\frac{1}{\sin(\theta)}[/tex]

Since we are given that sin(θ) ≈ 0.3090, this means that cosecant will be:

[tex]\displaystyle \csc(\theta)\approx \frac{1}{0.3090} = 3.2362[/tex]

Answer:

3.236

Step-by-step explanation:

csc=1/sinФ

csc=1/0.3090= 3.236

Answer:

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:

Step 1: Multiply both sides of the equation by -9/4 as shown:

-4/9 × -9/4 = x/108 × -9/4

-36/-36 = -9x/432

1 = -9x/432

1 = -x/48

Cross multiplying

48 = -x

x = -48

It can also be solved like this:

Given -4/9 = x/108

Multiply both sides by 108 to have:

-4/9 * 108 = x/108 * 108

-4/9 * 108 = 108x/108

-432/9 = x

x = -48

Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.

Answer: A

Step-by-step explanation: Took the test

Answer:

f^-1 = 36

Step-by-step explanation:

[tex]f(x) = (\frac{x}{6} ) -5\\f^{-1} (1) = ?\\f^-^1= \\y = (\frac{x}{6} ) -5\\ y = \frac{x}{6}-5\\y+5 = x/6\\Multiply -through- by ; 6\\ 6(y+5) =x\\f^-^1(x) = 6(x+5)\\f^-^1(1) = 6(1+5)\\ = 6(6)\\f^-^1 (1) = 36[/tex]

Step-by-step explanation:

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