evaluate:

16÷(2+12)2

A. 2 14/25

B. 4 1/4

C. 6 2/5

D. 8 1/4

The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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The function g(x), considering that h(x) is the composite function of f(x) and g(x), is given as follows:

g(x) = x + 6.

The composite function of f(x) and g(x) is given by the following rule:

h(x) = (f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

Hence the function g(x) is defined as follows:

g(x) = x + 6.

As the application of the composite function is given as follows:

\(h(x) = (f \circ g)(x) = f(x + 6) = \sqrt[4]{x + 6 + 1} = \sqrt[4]{x + 7}\)

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Applying the knowledge of fractions, the number of t-shirts that can be made is: 30 t-shirts.

In the problem given, we have the following information:

Material needed for one t-shirt = 1 3/8 yards

We want to find how many 1 3/4 we would find in 41 1/4.

Applying the knowledge of fraction, we are to divide 41 1/4 by 1 3/8. Convert both mixed fractions to improper fractions then divide:

41 1/4 ÷ 1 3/8

165/4 ÷ 11/8

165/4 × 8/11

165/4 × 8/11

15/1 × 2/1

= (15 × 2)/(1 × 1)

= 30/1

= 30.

Therefore, applying the knowledge of fractions, the number of t-shirts that can be made is: 30 t-shirts.

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Answer:

3,-3

Step-by-step explanation:

3²= 3 x 3 = 9

(-3)² = -3 x -3 = 9

a minus multiplied by another minus gives us a positive so there are 2 solutions, 3 and -3

Answer:

x=3;-3

Step-by-step explanation:

√9=3

The solution can either be 3 or -3.

Answer:

-3p + 15

Step-by-step explanation:

= 5p + 11 - (8p - 4)

= 5p + 11 - 8p + 4

= -3p + 15

The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:

f(2) = 0.172.

The function for this problem is defined as follows:

f(x) = 14/[3 + ae^(kx)]

When x = 0, y = 2, hence we can obtain the coefficient a as follows:

2 = 14/(3 + a)

6 + a = 14

a = 8.

Hence:

f(x) = 14/[3 + 8e^(kx)]

When x = 1, y = 1/2, hence the coefficient k is given as follows:

0.5 = 14/(3 + 8e^k)

1.5 + 4e^k = 14

4e^k = 12.5

e^k = 12.5/4

k = ln(12.5/4)

k = 1.14.

Hence:

f(x) = 14/[3 + 8e^(1.14x)]

Then the numeric value of the function at x = 2 is given as follows:

f(2) = 14/[3 + 8e^(1.14(2))]

f(2) = 0.172.

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Answer:

D

Step-by-step explanation:

5 1/2= 5 2/4

5 2/4 - 1 3/4 = 3 3/4

Answer:

3 3/4

Step-by-step explanation:

5 1/2 - 1 3/4

5 2/4 - 1 3/4

22/4 - 7/4

15/4

3 3/4

Answer:

0

Step-by-step explanation:

\(10 + ( - 8) - 2 \\ = 1 0 - 8 - 2 \\ = 2 - 2 \\ = 0\)

Answer: 0

Step-by-step explanation: -8+-2 is -10 and -10+10 is 0

Answer:

A: (0,-12)

Step-by-step explanation:

This chart is really helpful!

You just have to flip the coordinates and make the x value negative.

Have a great day!

Answer:

A and D

Step-by-step explanation:

Answer:

403 R2

Step-by-step explanation:

an acre is 4,840 so u divide by two and get 2,420 and then divide it by six

Answer:

2 liters of oil are left at the end of two days

Step-by-step explanation:

Quantity of oil that leaks = 25% of 4 liters

                                         = 0.25 * 4

                                         = 1.00 = 1 liter per day

2 liters of oil leaks for 2 days

Quantity of oil left at the end of two days = 4 - 2 = 2 liters

Answer:

180°

Step-by-step explanation:

the interior of every single triangle is 180°

if it doesn't add up to 180% something is wrong or it isn't a triangle

hope this helped, good luck

-cheesetoasty

here

hehbsheheuehebdbd

Answer:

lol are you depressed ..........

Given:

There are given the annual house insurance bill of $926, an annual car insurance bill of $2692, and an annual property tax bill of $1448.

Explanation:

To find the monthly budget for his annual expense, first, we need to add all annual expenses and after that divide by 12 for the monthly.

Now,

From all the annual expenses:

Then,

The monthly expenses is:

Final answer:

Hence, the monthly budget for his annual expenses is $422.16

A 95% confidence interval for the difference of the meantime that the customers stayed for lunch and for dinner the correct option is option a (3.35, 16.65).

Given:

The number of random customers n1 = 25

The number of random customers n2 = 30

x1 = 45, x2 = 55

σx1 = 10, σx2 = 15

Zα12 = Z0.025 = 1.96

95% confidence interval,

= {(x2-x1) ± Zα12 [(σx1)^2/n1 + (σx2)^2/n2]^0.5}

= {(55-45)  ± 1.96 [\(10^{2}\)/25 + \(15^{2}\)/30]^0.5}

= {10 ± 1.96(4 + 7.5)^0.5}

= {10 ± 1.96(11.5^0.5)}

= {10 ± 1.96(3.3911)}

= {10 ± 6.6466}

=> (10-6.6466, 10 + 6.6466)

=> (3.35, 16.65)

So, the correct option is a (3.35, 16.65) for the difference of the meantime.

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Step-by-step explanation:

40 :100        yellow to purple,  divide both sides by 20

2:5

Answer:

the ratio of yellow to purple is 40:100 that is 2:5 in the simplest form.

Step-by-step explanation:

Hope it helps.

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

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Answer:

0.2727 = 27.27% probability that both are red.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the marbles are selected is not important. So we use the combinations formula to solve.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Desired outcomes:

2 red marbles, from a set of 18. So

\(D = C_{18,2} = \frac{18!}{2!16!} = 153\)

Total outcomes:

Two marbles from a set of 18 + 16 = 34. So

\(T = C_{34,2} = \frac{34!}{2!32!} = 561\)

Probability:

\(p = \frac{D}{T} = \frac{153}{561} = 0.2727\)

0.2727 = 27.27% probability that both are red.

Using the volume of the sphere, it is found that 445.1 in³ of the ball is occupied by water.

The volume of a sphere of radius r is given by:

\(V = \frac{4\pi}{3}r^3\)

In this problem, the radius is of r = 5 in, hence the volume in cubic inches is given by:

\(V = \frac{4\pi}{3}(5)^3 = 523.6\)

85% of this is filled by water, hence the space occupied by water, in cubic inches, is of:

0.85 x 523.6 = 445.1.

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Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

Answer:

Question 2. 12% of 650 = 78

Step-by-step explanation:

100% = 1 in decimal form.

This is because finding 100% of something is the same as multiplying it by 1:

E.g. 100% of 10=10,  10x1 = 10

Therefore to find a percentage of something, we simply need to multiply it by the decimal form of that percentage. For example, if we were finding 50% of 10 (half), 50% in decimal form is 0.5, 10x0.5 = 5

The percentage here is 12%, we can find the decimal form by dividing it by 100, 12/100 = 0.12

So, in order to find 12% of 650, we just need to multiply 650 by 0.12:

650x0.12 = 78

12% of 650 = 78

Hope this helped!

Answer:

What exactly are you asking??? What is the question???

Step-by-step explanation:

Answer:

No.1 is 89 No.2 is 11 No.3 is 60 and the last one is 29

a=34.697, only one triangle is formed.

And B=40°.7'

A≈77°.79'.So, option A is correct.

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one.

Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Given,

C​=61° 50, c​=31.2, b=23.6

Sine rule:

sin B/b=Sin C/c

sin B=b sin C/c

=(23.6 sin 61° 50)/31.2

sin B=0.65219

sin B=139.3

A+B+C=180

A=180-B-C

A=180-139.3-61.50

A= -20.8 which is not possible.

Because the angle must be positive.

sin B=sin 40.70

A+B+C=180

A=180-40.70-61.50

A=77.79'

sin A/a=sin C/c

a=c sin A/sin C

So, a=34.697

Only one triangle is formed

And B=40°.7'

A≈77°.79'

Hence, option A is correct.

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The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

outlier

Step-by-step explanation: