Match each value to what it represents. 25 = 32 1. 32 power 2. 5 exponent 3. 2 base

Answer:

x = - 9, y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=-7+2y[/tex]

[tex]\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}[/tex]

[tex]\begin{bmatrix}21-8y=29\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=-7+2y[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=-7+2\left(-1\right)[/tex]

[tex]x=-9[/tex]

[tex]\mathrm{Thus, Answer:x=-9,\:y=-1}[/tex]

[RevyBreeze]

Answer:

x = -9, y = -1

Step-by-step explanation:

Solution:

If x = -7+2y

Then

-3(-7+2y)-2y=29

Simplify

21 - 8y = 29

And if x = -7+2y

Simplify

y = -1

x = -7+2(-1)

x = -9

Hence, x = -9 and y = -1

~lenvy~

The equation of the graph G(x) is (x - 4)^2 + 1.

We have given the graph below have the same shape.

We have to find the equation of the graph g(x).

We have to find the equation of g(x) by using the phase shifting.

A shift is a rigid translation in that it does not change the shape or size of the graph of the function.

Here we can see that the vertex of the graph in f(x) is (0,0) and the

vertex of the graph is g(x) is (4,1)

Therefore [tex]x^2[/tex] is replaced by [tex](x-4)^2[/tex].

and  is shifted upward one unit therefore we get

[tex]G(x)=(x-4)^2+1[/tex]

Therefore we get the graph of g(x)= (x - 4)^2 + 1.

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Answer:

Since the least number of digits in the number is 2 decimal places

Round 3.0478 to 2 dp

3.05+4.92=7.97

B is the answer

Step-by-step explanation:

Give brainliest please

Answer:

B

Step-by-step explanation:

Answer:

She has 1 and 1/12 pounds of fruit already and she needs 1 and 11/12 pounds more to have 3 total pounds

Answer: x= -2

Step-by-step explanation:

Answer:

2.3?

Step-by-step explanation:

i just divided it 14 ÷ 6

As Per Provided Information

Diameter of Circle is 27 units

Radius will be 27/2 units

Radius will be 13.5 units

Calculating Area of circle.

[tex] \boxed{ \qquad\huge\sf \:Area_{(Circle)} \: = \pi {r}^{2}}[/tex]

[tex] \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times {13.5}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times 182.25 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 572.265 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} \: = 572.3 \: square \: units[/tex]

Now finding the circumference of the circle.

[tex]\qquad\boxed{\huge\sf \: Circumference_{(Circle)} = 2 \pi \: r}\\\\\qquad\longrightarrow\sf \:Circumference_{(Circle)} = 2 \times 3.14 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 6.28 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 84.78 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 85 \: units[/tex]

Step-by-step explanation:

Given :- Diameter of circle :- 27 units , radius :- 13.5 units

Area :- πr²

Area :- 3.14×13.5²

Area :- 572.265

rounding off to nearest hundredth = 572.3 sq. units

Circumference :- 2πr

= 2 ×3.14 × 13.5 units

= 84.78 units

rounding off to nearest hundredth = 85 units

The direction will be resultant

Now

The volume of a sphere is the amount of space in it

The volumes of the spheres are 24416.64, 113.04 and 310181.76

The volume of a sphere is calculated using:

V = 4/3 πr^3

When the radius, r = 18, we have:

V = 4/3  * 3.14 * 18^3

V = 24416.64

When the radius, r = 3, we have:

V = 4/3  * 3.14 * 3^3

V = 113.04

When the radius, r = 42, we have:

V = 4/3  * 3.14 * 42^3

V = 310181.76

Hence, the volumes of the spheres are 24416.64, 113.04 and 310181.76

Read more about volumes at:

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Given Information :-

⠀⠀

⠀

To Find :-

⠀

⠀

Solution :-

⠀

To find the percentage of expenditure, we must know how much amount does he really spend, thus :

⠀

➥ Expenditure = Earnings - Savings

➥ Expenditure = Rs. 9600 - Rs. 2400

➥ Expenditure = Rs. 7200

⠀

Now, we can find the percentage,

⠀

[tex] \sf \hookrightarrow Percentage_{expenditure} = \dfrac{Expenditure}{Earnings} \times 100 \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{7200}{9600} \times 100 \qquad \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{72 \cancel{00}}{96 \cancel{00}} \times 100 \qquad \quad \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{ \cancel{72}}{ \cancel{96}} \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \cancel \frac{3}{4} \times 100 \qquad \qquad \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = 0.75 \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \underline{ \boxed{ \orange {\frak{75\%}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the percentage of his expenditure is 75%.

⠀

[tex] \underline { \rule{227pt}{2pt}}[/tex]

⠀

Answer:

5%

Step-by-step explanation:

Earns= Rs 640

Spends= Rs 608

Saves= (Rs 640 - Rs 608) =Rs 32

therefore, 32/640x100

Step-by-step explanation:

2(2x + 1) = 3(x - 4)

4x+2=3x-12

4x-3x=--12-2

x=14

Answer:

-4 is your final answer in it

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$530000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=530000\left(1+\frac{0.04}{4}\right)^{4\cdot t}\implies A=530000(1.01)^{4t} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{after 12 years}}{t=12}\implies A=530000(1.01)^{4(12)}\implies A=530000(1.01)^{48} \\\\\\ A\approx 854479.82~\hfill \underset{\textit{interest in the account}}{\stackrel{854479.82~~ - ~~530000}{\approx 324479.82}}[/tex]

Answer: add them

Step-by-step explanation: your welcome to get a tutor

Answer:

Draw two parallel chords AB and CD of lengths 5 cm and 11 cm. Let the center of the circle be O. Join one end of each chord to the center.

Draw two perpendiculars OM and ON to AB and CD, respectively, which bisects the chords.

Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its center. If the distance between AB and CD is 6 cm, find the radius of the circle.

Thus, MB = 2.5 cm and ND = 5.5 cm [The perpendicular drawn from the center of the circle to the chords bisects it.]

Let OM = x and ON = 6 - x

Consider ΔOMB

By Pythagoras theorem,

OM2 + MB2 = OB2

x2 + 2.52 = OB2

x2 + 6.25 = OB2..................(1)

Consider ΔOND

By Pythagoras theorem,

ON2 + ND2 = OD2

(6 - x)² + 5.52 = OD2

36 + x2 - 12x + 30.25 = OD2

x2 - 12x + 66.25 = OD2............... (2)

OB and OD are the radii of the circle. Therefore OB = OD.

Thus, OB2 = OD2

Equating (1) and (2) we get,

x2 + 6.25 = x2 - 12x + 66.25

12x = 60

x = 5

Substituting the value of x in (1),

OB2 = x2 + 6.25

OB2 = 52 + 6.25

OB2 = 31.25

OB = 5.59 (approx.)

Thus, we get the radius of the circle = 5.59 cm.

Step-by-step explanation:

[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]

[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]

[tex] \frac{42}{252} [/tex]

The answer is A. True.

Hope this helps

Answer:

True

Step-by-step explanation:

Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...

Answer:

2 + n < 14 is the inequality please

Check the picture below.

the assumption is that the graph keeps on going all the way to ±infinity.

Bear in mind that the interval notation is referring to the endpoints on the x-axis.

Answer:

20 Box.

The answer is B.

Step-by-step explanation:

Given information:

Each box is 60 cm^3.

Total Volumes boxes are 1200 cm^3.

Divide Total Box/Each Box.

[tex]1200/60=20 box[/tex]

Answer:

B

Step-by-step explanation:

Total volume 1200 divided by each box of 60 = 20 boxes

Option A has 16 boxes

Option B has 20 boxes

Option C has 30 boxes

Option D has 24 boxes

Therefore, the correct answer is B

Answer: I dont know if im right for sure but the answer should be 4

Step-by-step explanation

8 goes into 2 4 times (8 divided by 2 = 4)

Each child ate 2 pieces (4-2=2)

so therefore for it to be 2 pieces left over there were 4 kids I think.

Answer:

11

Step-by-step explanation:

So each pizza has 8 equal slices but we don't know the amount pizzas but we can find it by doing this ⬇️

1 pizza= 8 slices

3 pizzas = x

you cross multiply it and it will end up as 3×8= 24 slices.

now each kid ate 2 pieces and there was a leftover of 2

therefore, 24-2= 22 pieces divided 2 is 11

or; 3×8=24-2=22÷2=11

Answer:

x - 1

Step-by-step explanation:

The graph touches the x-axis at x = 1, its factor would be (x - 1)

Answer:

what do you want to ask brother...

Step-by-step explanation:

or you post this by mistake.....

Answer:

2

Step-by-step explanation:

because of your options

Multiply 80 by number of copies sold and add to her salary:

P = 80N + 1700

Now replace N with 26:

P = 80(26) + 1700

P = 3,780

Answer:

P=1,700+80n

Total Pay if Yoko sells 26 Copies; 3,780

Hope This Helps! :) Please Mark Brainliest!

Answer:

4

Step-by-step explanation:

4 sheets of plywood X 9$=36$

60$-36$=24$

24$ is left over to buy boxes of nails at 5$ each

24/5=4.8

Derek can buy 4 boxes of nails.

Answer:

i put it in a calc and got 1 1/2 which simplifies to 2/3

Step-by-step explanation:

Answer: a?

Step-by-step explanation:

i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3

Applying the appropriate circle theorems involving angles formed by chords and tangents, we have:

1. x = 75°; y = 85°, z = 210°

2. x = 38°

3. x = 143°

The angle formed outside a circle when two tangents intersect equals half of the positive difference of the intercepted arcs, based on the angles of intersecting tangents theorem.

The angles of intersecting chords theorem states that, half the sum of the intercepted arcs equals the vertical angle formed by two chords in a circle.

According to the inscribed angle theorem, the measure of an inscribed angle in a circle = 1/2(measure of intercepted arc)

1. x = 180 - 105 (opposite angles in a cyclic quadrilateral are supplementary)

x = 75°

y = 180 - 95 = 85°

z = measure of intercepted arc HEF = 2(105) [inscribed angle theorem]

m(HEF) = 210°

2. x = 1/2(218 - 142) [angles of intersecting tangents theorem]

x = 1/2(76)

x = 38°

3. x = 1/2(146 + 140) [angles of intersecting chords theorem]

x = 1/2(286)

x = 143°

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Answer:

Circumference ≈ 50.27

Area ≈ 201.06

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex] while the area of the circle [tex]\pi r^{2}[/tex]

Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × [tex]\pi[/tex] × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be [tex]\pi[/tex] × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)

Answer:

370 inches

Step-by-step explanation:

To find the perimeter of a figure, you need to add all sides together.

60 + 60 + 125 + 125 = ?

60 + 60 = 120

125 + 125 = 250

120 + 250 = 370 inches