What is the product of (−4)(16) • (−7)?

Answer:

253

Step-by-step explanation:

512-15×14-49

512-210-49

302-49

= 253 Ans

Answer: 53.7

I hope this helps!

Answer:

  -19/60

Step-by-step explanation:

You want the rational number halfway between -1/3 and -3/10.

The average of two numbers is the number halfway between them. It is their sum, divided by two.

Effectively, you are being asked for the average of -1/3 and -3/10.

  [tex]\text{average }=\left(-\dfrac{1}{3}-\dfrac{3}{10}\right)\times\dfrac{1}{2}=-\dfrac{1\cdot10+3\cdot3}{3\cdot10\cdot2}=\boxed{-\dfrac{19}{60}}[/tex]

Answer:

m+6n+5

Step-by-step explanation:

Let's simplify step-by-step.

m+8+6n−3

=m+8+6n+−3

Combine Like Terms:

=m+8+6n+−3

=(m)+(6n)+(8+−3)

=m+6n+5

Answer:

Step-by-step explanation:

[tex]A=64\pi ft^2[/tex]

[tex]r=\sqrt{\frac{A}{\pi } }[/tex]

[tex]r=\sqrt{\frac{64\pi }{\pi } }[/tex]

[tex]r=\sqrt{64}[/tex]

[tex]r=8[/tex]

So the radius is 8 ft.

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The correct answer is $3000.

It is quite effective to compare two or more values using the division approach. Therefore, it would be accurate to state that a ratio is a comparison or simplification of two quantities of the same type. This relationship illustrates how many times one quantity is equivalent to the other. The ratio may be defined as the number we use to represent one quantity as a percentage of the others.

As given ratio A:B:C = 2:3:5

let, A=2x, B=3x, C=5x

2x=600

x=600/2

x=$300

Total money = 2x+3x+5x

=x(2+3+5)

=x(10)

=300×10

=$3000

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Answer:

5

Step-by-step explanation:

Answer:

[tex]lcm = 420[/tex]

[tex]hcf = 21[/tex]

[tex](f/g)(7)=-\frac{9}{26}[/tex].

[tex]f(a)=-2a-4\\ \\g(a) =a^ 2+3[/tex]

[tex]\frac{-2a-4}{a^ 2+3}[/tex]

For this, we substitute a by 7 throughout the entire expression and calculate.

[tex]f/g(7)=\frac{-2(7)-4}{(7)^ 2+3}=\frac{-18}{52} =-\frac{9}{26}[/tex]

[tex](f/g)(7)=-\frac{9}{26}[/tex].

Using integrals, the probabilities and desired measures are given as follows:

a) P(0 < X) = 0.5.

b) P(0.6 < X) = 0.392.

c) P(-0.5 ≤ X ≤ 0.5) = 0.125.

d) P(X < -2) = 0.

e) P(X < 0 or X > -0.5) = 1.

f) x = 0.965.

The distribution is given by:

f(x) = 1.5x², -1 < x < 1.

The integral of this function will be used to find the probabilities.

In item a, the probability is given by:

[tex]P(0 < X) = \int_{0}^{1} f(x) dx[/tex]

[tex]P(0 < X) = \int_{0}^{1} 1.5x^2 dx[/tex]

[tex]P(0 < X) = 0.5x^3|_{x = 0}^{x = 1}[/tex]

Applying the Fundamental Theorem of Calculus:

P(0 < X) = 0.5(1)³ - 0.5(0)³ = 0.5 - 0 = 0.5.

Item b is similar as item a, just with lower limit 0.6, hence:

P(0.6 < X) = 0.5(1)³ - 0.5(0.6)³ = 0.5 - 0.108 = 0.392.

For item c, the lower limit is -0.5 and the upper limit is of 0.5, hence:

P(-0.5 ≤ X ≤ 0.5) = 0.5(0.5)³ - 0.5(-0.5)³ = 0.125.

For item d, values of -2 and less are not on the range of the distribution, which is between -1 and 1, hence the probability is of 0.

For item e, the intersection of the intervals is the entire range of the function, hence the probability is of 1.

For item f, we have that:

0.5(1)³ - 0.5(x)³ = 0.05

0.5x³ = 0.45

x³ = 0.9.

x = (0.9)^(1/3) -> cubic root

x = 0.965.

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Based on the fact that Lines a and m are parallel, the degree measure of angle 3 is 127

Based on the fact that a and m are parallel lines, then this means that the angle 127 degrees is corresponding to angle 1.

This means that the measure of angle 1 is 127 degrees as well because corresponding angles are congruent.

Angle 1 and Angle 3 are vertical angles. Vertical angles are also congruent. This means that if Angle 1 is 127 degrees then angle 3 will be 127 degrees as well.

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Answer:b

Step-by-step explanation:

The area of circle S will be 50.24 mm². Then the correct option is A.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius of circle S is half the radius of circle L.

Let 'r₁' be the radius of circle S and 'r₂' be the radius of circle L. Then the equation is given as

r₁ = r₂ / 2

The radius of circle L is 8 millimeters. Then the radius of the circle S is calculated as,

r₁ = 8 / 2

r₁ = 4 mm

The area of the circle S is calculated as,

A = πr₁²

A = 3.14 x (4)²

A = 50.24 mm²

The range of the circle S is 4 mm. Then the region of the circle S will be 50.24 mm². Then the right choice is A.

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The ratio of squares to circles is 1/ 2

A ratio is defined as the comparison of two or more numbers or elements indicating their sizes in relation to each other.

From the information given, we have that;

To determine the ratio of the squares to circles, we take the quotient of squares to circles, we have;

= 3/ 6

Reduce to simpler form

= 1/ 2

Thus, the ratio of squares to circles is 1/ 2

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The length of the side x of the triangle ADE is 16.5 units.

If the sides are in the same ratio or proportion and the angles are equal (corresponding angles), two triangles will be similar (corresponding sides). When compared individually, similar triangles may have different side lengths, but they must all have the same ratio of their side lengths and equal angles.

From figure, it is given that:

AB = 3 units

BC = 2 units

AD = x units

DE = 11 units

We know that the triangle ABC ~ ADE.

Therefore, the ratio of corresponding sides of the triangles will be same.

Now,

AB/ AD = BC/ DE

3/x = 2/11

Cross multiply to get:

2x = 3(11)

2x = 33

x = 33/2

x = 16.5 units

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[tex]9x = 81+4[/tex]

[tex]9x = 85[/tex]

[tex]x = 85/9[/tex](divide using calculator)

The graph cannot be used to complete the table of values and the missing value of a is 7

The graph represents the given parameter

There are no points plotted on the graph

This means that the table of values cannot be completed

Hence, the graph cannot be used to complete the table of values

The table represents the given parameter

On the table, we have the following points

(x, y) = (0, -2), (2, 4), (3, a)

Also, we have that the points fall on a line

This means that the points make a linear equation

By analyzing the x and y values, we can see that

As x increases by 2, y increases by 6

This means that as x increases by 1, y increases by 3

So, when x = 3, the value of y is

y = 4 + 3

Evaluate

y  = 7

Rewrite as

a= 7

Hence, the missing value of a is 7

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There are 18 more servers than cooks at Bruno's burgers when the ratio is 2 : 5.

We are given that the ratio of cook to server in Bruno's Burgers is given by 2 : 5

We also know that the total number of cooks and servers = 42

Now, let number of cooks be 2 x and the number of servers be 5 x

So, ATQ, we get that:

2 x + 5 x = 42

7 x = 42

x = 42 / 7

x = 6

Number of cooks = 2 x = 2 (6) = 12

Number of servers = 5 x = 5 (6) = 30.

Difference = 30 - 12 = 18

Therefore, we get that, there are 18 more servers than cooks at Bruno's burgers when the ratio is given as 2 : 5.

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Answer: the answer is 42.5

Answer:

maximum = (2,-3)

Step-by-step explanation:

Answer:

asdfasdf

Step-by-step explanation:

asdfasdfasdfasdfasdf

The location rotates 24.9 miles in 1 day

It is a method in which one finds the value of a unit from the value of a number of units and the value of a number of units from the value of a  unit.

In the unit method, we always count the value of a unit or quantity first, and then we calculate the value of more or less quantities. This is why this method is called the unitary method.

Earth equator moves 2.075 miles in 2 hours, We need to find how far does this location rotate in 1 day

Using Unitary Method

2 hours = 2.075 miles

1 hour = 2.075/2 mile

1 hour = 1.0375 mile

1 day = 24 hours

24 hours = 1.0375 *24

= 24.9 miles

The location rotates 24.9 miles in 1 day

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The square's diagonal length is (E) d = 5√2.

So, we must determine the length of the square's diagonal.

Therefore, the square's diagonal length is (E) d = 5√2.

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The correct question is given below:
What is the length of the diagonal of the square shown below? 5 45° 5 5 90° 5 O A. 5

B. 10

C. 5

D. 5/5

E. 5√2

F. 25​

the domain of the function y = 56.35 x is 0.27 ≤ x ≤ 0.44.

We are given a function:

y = 56.35 x

We are also given that at least 15 but no more than 25 students go to the water park.

This means that the range of y is:

Range = 15 ≤ y ≤ 25.

Now, we need to find the domain of the function.

Put y = 15 in the equation:

15 = 56.35 x

x = 15 / 56.35

x = 0.27

Put y = 25 in the equation:

25 = 56.35 x

x = 25 / 56.35

x = 0.44

So, the domain becomes:

Domain = 0.27 ≤ x ≤ 0.44.

Therefore, we get that, the domain of the function y = 56.35 x is 0.27 ≤ x ≤ 0.44.

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The expression for the product of s and t, plus r will be (s × t) + r which is st + r.

This can be illustrated as an expression. Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

Therefore, the expression for the product of s and t, plus r will be:

= (s × t) + r.

= st + r.

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Reroll 6’s = 26 times

Failed turn on 6's = 21 times

If the initial roll is a 6, the question enters an unending cycle. Reroll till it isn't 6, or simply treat it as a failed round since the roll was legal and didn't result in a pair of twos.

The likelihood of each number being rolled is the same.

If the first roll is n, there are (6 - n) options for the greater number. Thus p = 1/(6 - n) for a specific (possible) result such as n + 2.

Then,

p(2 apart) = p(1, then 3) + p(2, then 4) + p(3, then 5) + p(4, then 6)

Reroll 6’s:

p(2 apart) = (1/5)(1/5) + (1/5)(1/4) + (1/5)(1/3) + (1/5)(1/2)

p(2 apart) = (1/5)(1/5 + 1/4 + 1/3 + 1/2) = 0.25666…

So for 100 times, we will get 26 times 2 apart

Failed turn on 6:

p(2 apart) = (1/6)(1/5) + (1/6)(1/4) + (1/6)(1/3) + (1/6)(1/2)

p(2 apart) = (1/6)(1/5 + 1/4 + 1/3 + 1/2) = 0.2138

So for 100 times, we will get 21 times 2 apart

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Answer:

well wheren is the question

Answer:

-8

Step-by-step explanation:

Substitute -8 for x

h(-8) = ((-8)² + 3(-8)) ÷ (4(-8) + 27))
         = (64 - 24) ÷ (-32 + 27)
         = 40 ÷ -5
         = -8

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent absolute value function is defined by:

f(x) = |x|.

And has vertex at (0,0).

After a translation, the absolute value function is given by:

g(x) = |a(x - h)| + k.

The vertex is at: (h, k).

In this problem, the function is:

g(x) = |-0.5(x + 3)| - 1.

Hence:

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