( -16 + 12 ) ÷ ( -4 + 2 ) = What is the Answer
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The surface area of a triangular prism with the 3 sides slant height as 14 the base width as 8 and the base height as 6.9 is 155. 705 in²

The surface area of a triangular pyramid is the total area of all it's faces.

The properties of a triangular prism are;

Surface area = Base Area + 1÷2 (perimeter × base height)

But base area = 1÷2 (base side × height)

Base area = 1÷ 2 (8 × 14) = 0.5 × 112 = 56 in²

Perimeter = sum of all the sides = 14 + 8 + 6.9 = 28. 9 in

Base height = 6. 9in

Surface area = 56 + 1 ÷ 2 ( 28.9× 6. 9) = 56 + 0.5 × 199.41 = 56 + 99. 705 = 155. 705 in²

Surface area = 155. 705 in²

Therefore, the surface area of the triangular prism is 155. 705 in²

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The number of miles between the two cities is 8.13 miles.

In order to determine  the number of miles between the two cities, we would have to divide 13 kilometers by 1.6 miles. Division is when a number is grouped into equal numbers using another number.

Number of miles = 13 / 1.6 = 8.13 miles

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Answer:

(x + 5)^2 + (y + 8)^2 = 6^2

Step-by-step explanation:

A circle formula: (x - h)^2 + (y - k)^2 = r^2

We are given diameter. To find the radius divide diameter by 2.

d = 12

12/2 = r = 6

H and K are given to be (-5 , -8)

(x - (-5))^2 + (y - (-8))^2 = 6^2

(x + 5)^2 + (y + 8)^2 = 6^2

I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.

Answer:

(2.405, 1.537)

Step-by-step explanation:

When you graph these, they intersect at (2.405, 1.537).

You can use desmos as a graphing calculator, it is extremely helpful.

Hope this helps!

Answer:

no solutions

Step-by-step explanation:

Since the two terms have the same base, we are able to use the rule for subtracting logarithms:

[tex]log_{b}(x) - log_{b}(y) = log_{b}(\frac{x}{y} )[/tex]

Therefore, the equation can be written as:

[tex]log_{6}(\frac{x-6}{x+4} )=2[/tex]

By using the definition of a logarithm we can say that:

[tex]\frac{x-6}{x+4} = 6^{2}\\\frac{x-6}{x+4} = 36\\x -6 = 36x+144\\35x = -150\\x =-\frac{30}{7}[/tex]

When plugging this solution in, you find that the term [tex]log_{6}(x-6)[/tex] has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so [tex]-\frac{30}{7}[/tex] is not a valid solution. This means that there are no solutions.

Answer:

2.25or21/4

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Expression:

Simplify it in below steps:

Answer:

[tex]f^{-1}(x) = (x+7)^2[/tex]

Step-by-step explanation:

[tex]y=f(x) = \sqrt x - 7 \\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~~x= \sqrt y -7\\\\\implies \sqrt y = x+7\\\\\implies y = (x+7)^2\\\\\implies f^{-1}(x) = (x+7)^2[/tex]

Using the law of detachment, the conclusion we can draw from the two given statements is: C. m∠E + m∠F = 90°.

The law of detachment states that, if two statements are true, a third statement that is true can be derived also.

From the information given, we have:

First statement: If 2 angles are complementary, then their sum equals 90 degrees (If p, then q).

Second statement: Angles E and F are complementary (p).

The third true statement (q) would be:

m∠E + m∠F = 90°. (option C)

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The calculation that will give us the total surface area of the solid figure that is made up of square faces is: B. 6 × 5 × 5

Area of a square = (side length)².

Therefore are six (6) square faces that make up the solid figure.

Area of the 6 square faces = total surface area of the solid figure = 6(5²)

Total surface area of the solid figure = 6 × 5 × 5

Total surface area of the solid figure is: B. 6 × 5 × 5

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Answer:

3

Step-by-step explanation:

An equation is formed of two equal expressions. The value of x and y is 17 and 20, respectively. Thus, the correct option is D.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Solving the first equation for y,

4x - 3y = 8

-3y = 8 - 4x

y = (8-4x)/(-3)

Solving the second equation for y,

5x - 4y = 5

-4y = 5 - 5x

y = (5 - 5x)/(-4)

Equate the value of y,

y = y

(8-4x)/(-3) = (5 - 5x)/(-4)

-32 + 16x = -15 + 15x

16x - 15x = -15 + 32

x = 17

Substitute the value of x in any one of the equation,

4x - 3y = 8

4(17) - 3y = 8

68 - 3y = 8

-3y = -60

y = 20

Hence, the value of x and y is 17 and 20, respectively. Thus, the correct option is D.

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Answer: Maybe when you Grew from a Baby to a toddler because that would be you growing over time

Step-by-step explanation:

I Hope This Helps!

Using a geometric sequence, it is found that the maximum height reached after the 5th bounce is of 43.48 feet.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, the ball is dropped from a height of 101.00 inches onto a hard flat floor, and after each bounce, the height is 19% less, that is, 81% of the previous height, hence the first term and the common ratio are given by:

[tex]a_1 = 101, q = 0.81[/tex]

Then, the height of the nth bounce is given by:

[tex]a_n = 101(0.81)^{n-1}[/tex]

And the height of the 5th bounce is:

[tex]a_5 = 101(0.81)^{5-1} = 43.48[/tex]

The maximum height reached after the 5th bounce is of 43.48 feet.

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Answer:

24

Step-by-step explanation:

from the question above,

30+(-6) =

when plus is multiplying minus it's minus

+ × - = -

30-6 = 24

The number of customers served in the ice cream shop in June, July and August are 125, 25 and 250 customers respectively

let

Total = June + July + August

400 = x + (x- 100) + 2x

400 = x + x - 100 + 2x

400 = 4x - 100

400 + 100 = 4x

500 = 4x

x = 500/4

x = 125

So,

June = x

= 125 customers

July = x - 100

125 - 100

= 25 customers

August = 2x

= 2(125)

= 250 customers

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Answer:

See below

Step-by-step explanation:

4.33 = 3.83 * (1.13)       .13 is decimal for 13%  

Answer:

4th one is correct

Step-by-step explanation:

it perfectly matches all the given condition

Answer: P(A|B) = P(A)

Step-by-step explanation:

If they are independent, one event being given doesn't impact the probability of the other event.

Answer:b

Step-by-step explanation:

b

Answer:

Step-by-step explanation:

Part A

There are 5 odd numbers from 1 to 10. All three of them must be odd when drawn. I have to assume that there is no replacements.

Probability (odd) = (5 *  4 * 3) / (10 * 9 * 8) = 60 / 720

Probability (odd) = 0.083333

Part B

This is a little harder because 1 even number will turn everything even. So the way to handle this is to assume that there is (1 - probability(odd)) *720  that you have even

So the chances of an even result is 1 - odd/ total or

(1 - 1/12) * 720 =   660/720 = 0.917

Answer

Odd: 0.0833

Even: 0.917

Answer:

Step-by-step explanation:

You can use this information to "guess" at the answers without doing any "work."

__

The missing angle is the complement of the marked acute angle in the right triangle, so is ...

  C = 90° -65° = 25°

This angle is opposite the side of length 8.9 cm. The next-smallest angle is 65°, which is more than double the smallest angle. Hence the side opposite 65° will not be either of 3.8 or 9.8.

Of the two remaining measures, the longer one, 21.1, will be the hypotenuse, BC. The shorter of those, 19.1, will be the long side, AC.

Our solution is ...

__

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and right triangle sides. Here, we're given an angle and the length of its adjacent side. We are asked for the opposite side and for the hypotenuse. This suggests useful relations might be ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Solving the first of these for the hypotenuse gives ...

  hypotenuse = adjacent/cos(65°)

  BC = 8.9 cm/cos(65°) ≈ 21.059 cm ≈ 21.1 cm

Solving the second relation above for the opposite side gives ...

  opposite = adjacent×tan(65°)

  AC = 8.9 cm×tan(65°) ≈ 19.086 cm ≈ 19.1 cm

As above, the missing angle is the complement of the given one:

  C = 90° -65° = 25°

Then the quantitative solution is ...

_____

Additional comment

If AC were 9.8 cm, the angle at B would be about 48°. That is, the two acute angles in the triangle would be very nearly equal.

We know that the side ratios in a 30°-60°-90° right triangle are 1 : √3 : 2. This triangle has a larger angle greater than 60°, so its longer side will be more than √3 times the short side. That means a length of 9.8 cm is way too short.

It's translation B to B’, is the composition of transformations that would map figure ABCD to figure A'B'C'D".

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

from the given figure we get,

there is a transformation of ABCD to A'B'C'D".

now,

Reason: choices are translation, reflection, rotation, or dilation, this is translation.

Hence, It's translation B to B’, is the composition of transformations that would map figure ABCD to figure A'B'C'D".

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Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 33.8, \sigma = 1.2[/tex]

The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the p-value of Z when X = 36 subtracted by the p-value of Z when X = 31, hence:

X = 36:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36 - 33.8}{1.2}[/tex]

Z = 1.83

Z = 1.83 has a p-value of 0.9664.

X = 31:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{31 - 33.8}{1.2}[/tex]

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

0.9664 - 0.0099 = 0.9565.

0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

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Answer:

I would say A is the answer.

Answer:

no thank you sorry 4h he'll be a great day of school and I have been a while ago but it's a good time 44

Answer:

o

Step-by-step explanation:

Step-by-step explanation:

To find slope : y2- y1 / x2 - x1

we have ( -5 , 1 ) which is ( x1 , y1 )

and ( -2 , 7 ) is ( x2 , y2 )

so; 7 - 1 / -2 - (-5)

6/3

= 2

The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base,

then its volume is:

V = B x  h

where h is the height of that prism and B is the area of the base of that prism.

Given:

Base side length =14 and 10 units

Height=8 units

Diameter=5 units

The volume of the shaded region is;

Expression =  1-( half 14)(10)(8) - π(2.52)(8)

Expression = 1-(7) (10)(8) - π(2.52)(8)

Expression = 1- (560)- 63.33

Expression = -559-63.33

Expression = -622.33

Hence, The expression that represents the volume, in cubic units, of the shaded region of the composite figure is option: A. One-half(14)(10)(8) – π(2.52)(8).

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answer: A

the first one

Answer:

13 and 44

Step-by-step explanation:

let x and y be the 2 numbers with y < x , then

x - y = 31 ( add y to both sides )

x = y + 31 ( subtract 31 from both sides )

x - 31 = y → (1)

4y = x + 8 → (2)

substitute y = x - 31 into (2)

4(x - 31) = x + 8

4x - 124 = x + 8 ( subtract x from both sides )

3x - 124 = 8 ( add 124 to both sides )

3x = 132 ( divide both sides by 3 )

x = 44

substitute x = 44 into (1)

44 - 31  = y , then

y = 13

the 2 numbers are 13 and 44

The total area with land based on the information given is 3x² + 60x.

Let the width = x

Let the length = (1.5 × x) = 1.5x

Area = 1.5x × x = 1.5x²

The area along with land:

Width = x + 20

Length = 3 × x = 3x

The total area with land:

= Length × Width

= 3x(x + 20)

= 3x² + 60x.

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