1. write an equvialent expression: -1/2 (-2x + 4y)
2. Factor to write an equivalent expression: 26a - 10.

Answer:

I think its 12.

Step-by-step explanation:

Answer:

4 braclets

Step-by-step explanation:

The domain of fog is: Domain of fog = {x ∈ R | 3 ≤ g(x) ≤ 9}

The range of fog is:  Range of fog = {1, 2, 5}

The domain of a function is the set of all possible input values (usually denoted by x) for which the function is defined.

The range of a function is the set of all possible output values (usually denoted by y) that the function can produce for its corresponding inputs in the domain.

(a) Domain of fog:

The domain of fog is the set of all inputs for which the composition is defined. Since g is defined for all values in its domain, and f is defined for all values in the range of g, the domain of fog is the set of all values in the domain of g for which g(x) is in the domain of f.

(b) Range of fog:

The range of fog is the set of all possible outputs of the composition. Since g is defined for all values in its domain, and f is defined for all values in the range of g, the range of fog is the set of all possible outputs of f when its input is an output of g.

Range of fog = {f(g(x)) | x ∈ R, 3 ≤ g(x) ≤ 9}

To determine the values in the range of fog, we need to evaluate f(g(x)) for each x in the domain of fog. We can do this by first determining the outputs of g for each value in its domain, and then evaluating f at those outputs.

The outputs of g for x = 4, 5, 7 are:

g(4) = 6

g(5) = 8

g(7) = 9

Since f is defined for all values in the range of g, we can evaluate f at each of these outputs to get:

f(g(4)) = f(6) = 5

f(g(5)) = f(8) = 2

f(g(7)) = f(9) = 1

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We know that the line passes through (1,4) and it has a slope of 9.

We use the point-slope formula.

Where,

Replacing these values, we have

The first option is the correct one for the line y = x - 2:

" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"

Here we want to identify the graph of the linear equation:

y = x - 2

First, notice that when we evaluate this in x = 0 we get the y-intercept:

y = 0 - 2

y = -2

Then the y-intercept there is (0, -2)

Also, evaluating the linear equation in x = -2, then we will get:

y = -2 - 2

y = -4

So we have the point (-2, -4)

Then the correct option is the first one:

" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"

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The required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The complex number is given in the question following as

3i

We have to determine the fifth roots of the given complex

As per the given question, we have

⇒ ⁵√3i

Apply the radical rule ⁿ√ab = ⁿ√aⁿ·√b,  (Assuming a ≥ 0, b ≥ 0)

⇒ ⁵√3·⁵√i

Thus, the required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

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The increase in height (rise) of the balloon is \(35.53 feet\)

What is Pythagorean Theorem?

Pythagoras' theorem states that "the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides."

The angle of elevation is generated by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.

According to the given information:

Given that,

Initial angle of elevation = \(19.3^{0}\).

Final angle of elevation = \(32.3^{0}\).

Distance = \(126 feet\).

How to calculate the height (rise).

In order to determine the increase in height (rise) of the balloon, we would apply Pythagorean Theorem. Mathematically, this is given by this formula:

tan∅ = \(\frac{height}{adj}\)

height = adjacent \(*\) tan∅

At an initial angle of elevation:

height \(=126* tan 19.3^{0} \\= 126 * 0.3501\\= 44.11 feet\)

At a final angle of elevation:

height \(=126* tan 32.3^{0} \\= 126* 0.6321\\= 79.64 feet\)

For the change in height:

Δh \(= 79.64-44.11\\=35.53 feet\)

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Answer:

there are 20 seeds per packet

is that your question?

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

We operate to simplify and we are left with the following:

Answer:

Step-by-step explanation:

The adjacent angle to the missing angle must sum to 180 degrees. So a=180-74=106 degrees. The sum of the three angles of the triangle must also sum to 180.

x+49+106=180

x+155=180

x=25

Answer:

106

Step-by-step explanation:

x+49=74

x=74-49=25

y=74=180

y=180-74=106

im sorry im late if u see this yw!

Answer:

Answer:

x = 12

Step-by-step explanation:

m∠S + m∠T = 180

8x + 7x = 180

15x = 180

x = 12

does this help?

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

159???????

Step-by-step explanation:

Answer:

5-4=12x+x

1=13x

1/13=×

By using scale and prοpοrtiοn, the dimensiοns οf the actual painting are 144 inches² by 216 inches².

Scale refers tο the relatiοnship between the dimensiοns οf a scaled οbject and the cοrrespοnding dimensiοns οf the οriginal οbject. If an οbject is scaled dοwn tο half its οriginal size, then the dimensiοns οf the scaled οbject will be half οf the dimensiοns οf the οriginal οbject.

Prοpοrtiοn, οn the οther hand, refers tο the relatiοnship between twο οr mοre quantities that have the same ratiο. In οther wοrds, if twο quantities are in prοpοrtiοn, then their ratiο is cοnstant.

Tο find the dimensiοns οf the actual painting, we need tο "undο" the 6:1 scale.

If the scaled painting is 6 times smaller than the actual painting, then the actual painting is 6 times larger than the scaled painting.

Sο we can find the actual dimensiοns by multiplying the scaled dimensiοns by 6:

Actual width = 24 inches x 6 = 144 inches

Actual height = 36 inches x 6 = 216 inches

Therefοre, the dimensiοns οf the actual painting are 144 inches² by 216 inches².

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Answer:

1000

Step-by-step explanation:

23.4 to 1 sf gives 20

13.9 to 1 sf gives 10

0.18 to 1 sf gives 0.2

Therefore it becomes 20 × 10 ÷ 0.2 = 200 ÷ 0.2 = 1000

Answer:

43-6, (n-1), n=1, (2,3)

Step-by-step explanation:

Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

Step-by-step explanation:

no . he should have gotten 3 raise to the 9th power

\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

The income tax that will be paid for the year will be RS 4199.

The total income that the ma gets will be:

= 39990 + 2000

= 41990

The tax rate is given as 10%. Therefore, the income tax that will be paid this year will be:

= 10% × 41990

= 4199

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121

Step-by-step explanation:

9+2=11

4+10=14

11×14=154

6+5=11

3×11=33

154-33=121

Answer:

Step-by-step explanation:

9 + 2(14) - 3(11)

9 + 28 - 33

37 - 33 = 4

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

Answer is D or since there is no letters the last answer

Step-by-step explanation:

To find the area of a parallelogram in the coordinate plane, we need to determine the base and the height of the parallelogram.

Using the given coordinates, we can find the length of one side of the parallelogram as the distance between points A and B.

The length of AB = sqrt((6 - 7)^2 + (5 - 5)^2) = sqrt((-1)^2 + 0^2) = sqrt(1) = 1

The height of the parallelogram can be found as the distance between point D and the line passing through points A and B. We can use the formula for the distance between a point and a line to find the perpendicular distance.

The equation of the line passing through A and B can be found using the point-slope form:

y - 5 = (5 - 5)/(7 - 6) * (x - 7)

y - 5 = 0 * (x - 7)

y - 5 = 0

y = 5

The perpendicular distance from point D(-9, -2) to the line y = 5 is the difference in their y-coordinates:

Perpendicular distance = |-2 - 5| = 7

Now, we have the base length AB = 1 and the height = 7.

The area of the parallelogram is given by the formula: Area = base * height.

Area = 1 * 7 = 7 square units.

Check the picture below.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=1\\ b=13\\ h=7 \end{cases}\implies A=\cfrac{7(1+13)}{2}\implies A=49\)

Answer:

Don't know....

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x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

1/4 x 4/1 x4/1= 2

6/1 x 6/1 x1/6=2

Step-by-step explanation:

Answer:

(f - g) = 2x - 3

Step-by-step explanation:

Simply distribute the negative and add like terms together:

(f - g) = 3x - 1 - (x + 2)

(f - g) = 3x - 1 - x - 2

(f - g) = 2x -  3