Solve using substitution method:
X= y/3 +2
7x − 5y = 10

Solve for (x,y)

Answer:

2

Step-by-step explanation:

y=k/x

58=k/9

k=58×9

k=522

y=522/x

when x=261

y=522/261

y=2

Answer: D. 10.5 hours

Step-by-step explanation:

3 days, 3.5 hours each

3.5 * 3 = 10.5 hours

Answer:

D. 10.5

Step-by-step explanation:

3.5 x 3 = 10.5

The correlation between variables (r) = 0.959, and signifies a positive relationship between the variables.

The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.

The pertinent data are:

Period Fertilizer Sales Number of Mowers Sold

1 1.6 12.0

2 1.3 10.0

3 1.8 13.0

4 2.0 15.0

5 2.2 15.0

6 1.5 11.0

7 1.6 12.0

8 1.4 10.0

9 1.8 13.0

10 1.4 10.0

11 1.9 15.0

12 1.4 11.0

13 1.7 14.0

14 1.4 13.0

To determine the correlation between the two variables

Regression equation ( y ) = a + bx

y = dependent variable ( mower )

x = independent variable ( fertilizer)

a = intercept point ( y-axis and regression line )

b = slope ( regression line )

From the given data;

N = 14 ,    Σ x = 22.8,  

Σy = 131,   Σy^2 = 1269,

Σx^2 = 38.18,      (Σx)^2 = 519.84

Σxy = 219.8,       (Σy)^2 = 17161

Hence, The correlation between variables (r) = 0.959, and signifies a positive relationship between the variables.

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Step-by-step explanation:

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Answer:

135

Step-by-step explanation:

2x²/x + x(100 - 15x)

If x = 5 ;

2(5)²/5 + 5(100 - 15×5)

= 2×25/5 + 5(100 - 75)

= 2 × 5 + 5 × 25

= 10 + 125

= 135

The absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

As we know,

The absolute value of a negative account balance is equal to the amount of debt. A balance of $0 on an account means there is no debt. Credit is shown by a positive account balance.

Richard has a debt of $45.

The negative of 45 value represents the debt.

-$45 = debt

Absolute value = |-45| = 45

Thus, the absolute value of debt of $45 is 45 because a balance of $0 on an account means there is no debt, and a negative of 45 value represents the debt.

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The percentage of men is more than 72 inches tall will be 0.15866.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

Suppose the mean height for men is 70 inches, with a standard deviation of 2 inches.

Then the percentage of men are more than 72 inches tall will be

z = (72 – 70) / 2

z = 1

The percentage of men is more than 72 inches tall will be

P(x > 72) = P(z > 1)

P(x > 72) = 1 – P(x < 72)

P(x > 72) = 1 – 0.84134

P(x > 72) = 0.15866

Thun, the percentage of men are more than 72 inches tall will be 0.15866.

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Answer:

Im pretty sure its C which is 5776.2m

Step-by-step explanation:

Answer:

197

Step-by-step explanation:

the answers 197 because if an=5n-3 then a40= 197

An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

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

The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.

The equation for f(x) from the given graph can be written as,

[tex]f(x)=e^{(\ln2)x}-2[/tex]

Now, similarly from the graph the function of g(x) can be written as,

[tex]g(x)=-3e^{(\ln2)x}+6[/tex]

Further, the equation of function g(x) in terms of f(x) can be written as,

g(x) = -3[f(x)]

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Step-by-step explanation: I got it right!

It will take 5 seconds for the waste to hit the ground.

We know that the bird releases the waste from a height of 400ft, so the height equation is:

[tex]h(t) = -16t^2 + 400[/tex]

The waste will hit the ground when its height is equal to zero, so we just need to solve the quadratic equation:

[tex]h(t) = 0 = -16t^2 + 400\\\\16t^2 = 400\\\\t^2 = 400/16 = 25\\\\[/tex]

Now we can apply the square root in both sides:

[tex]t = \sqrt{25} = 5[/tex]

It will take 5 seconds for the waste to hit the ground.

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Answer:

3 , 6

Step-by-step explanation:

Answer: (2,-3), (2, -3)

Step-by-step explanation: Substitute 2 into each equation. See Attachment and don’t forget to check the work just in case ;)

The equivalent expression to [tex]\left(\frac{4mn}{m^{-2}n^6}\right)^{-2}[/tex] is given by [tex]=\mathbf{\frac{n^{10}}{16m^6}}[/tex].

From the principle of indices we get,

Addition of exponent, [tex]a^{m+n}=a^m.a^n[/tex]

Subtraction, [tex]a^{m-n}=\frac{a^m}{a^n}[/tex]

Multiplication, [tex]a^{mn}=(a^m)^n[/tex]

negative exponent, [tex]a^{-m}=\frac{1}{a^m}[/tex]

Here in the problem given expression is [tex]\left(\frac{4mn}{m^{-2}n^6}\right)^{-2}[/tex]

Calculating we get,

[tex]\left(\frac{4mn}{m^{-2}n^6}\right)^{-2}[/tex]

[tex]=\left(4m^{1-(-2)}n^{1-6}\right)^{-2}[/tex], using addition and subtraction of indices formulae

[tex]=\left(4m^3n^{-5}\right)^{-2}[/tex]

[tex]=16^{-1}m^{-6}n^{10}[/tex], using multiplication of indices

[tex]=\frac{n^{10}}{16m^6}[/tex], using negative exponent formula

Hence the equivalent required expression is [tex]=\frac{n^{10}}{16m^6}[/tex].

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Answer:

b

Step-by-step explanation:

edge 23

1) Rotate triangle A 90° clockwise around O

C (5, 6) ⇒ D (1, 2)

2) Move triangle A' 6 spaces to the right

O (1, 6) ⇒ O' (7, 6)

D (1, 2) ⇒ D' (7, 2)

So Shape A ⇒ Shape B

Answer:

8

Step-by-step explanation:

f(x)=2x^4-4x^3-11x^2+3x-6

f(-2)=2(-2)^4-4(-2)^3-11(-2)^2+3(-2)-6

f(-2)=2(16)-4(-8)-11(4)-6-6

f(-2)=32+32-44-12

f(-2)=64-44-12

f(-2)=20-12

f(-2)=8

Answer:

with a line accross the points

Answer:

By using the formulas of circle and geometry, we find that ∠CED = 65°.

Step-by-step explanation:

We know that the measure of the interior angle is the half sum of the arcs comprising it and its opposite, so

∠CED = 0.5 × (arc AB + arc CD)

See the attached figure with letters to better understand the problem

arc AB = 82° (by central angle)

arc CD = 48° (by central angle)

Substitute the values in the formula above

∠CED = 0.5 × (82° + 48°)

∠CED = 0.5 × 130°

∠CED = 65°

Therefore the answer is ∠CED = 65°

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The surface area of the figure is approximately: 178 units².

The surface area of any figure is the area of all its faces.

Find the area of each face as shown below:

Area of base = w² = 6² = 36 units²

Area of the 4 rectangular faces = 4(6)(3) = 72 units²

Area of the 4 triangular faces = 4[1/2bh]

b = w = 6 units

h = √(y² + (w/2)²) = √(5² + (6/2)²) = 5.8 units

Area of the 4 triangular faces = 4[1/2(6)(5.8)] = 69.6 units²

Surface area = 36 + 72 + 69.6 ≈ 178 units²

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Answer:

D. [tex] \frac{2}{6} [/tex]

Step-by-step explanation:

2÷ 6 = 0.33333

As you can see 3 is repeating.

Therefore [tex] \frac{2}{6} [/tex] as repeating decimal form.

Answer:

The answer will be Exponential growth.

Please mark me as the brainliest.

Answer:

exponential growth

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-9

The steps arranged in the right order are:

45,000,000 = [tex]100(1 + 1.5)^{t}[/tex]

45,000,000 = [tex]100(2.5)^{t}[/tex]

450,000 = [tex](2.5)^{t}[/tex]

log 450,000 = log [tex](2.5)^{t}[/tex]

log 450,000 = log t (2.5)

[tex]\frac{log 450,000}{log 2.5} = t[/tex]

5.632 / 0.3979 = t

t = 14.21 hours

The equation that can be used to represent the growth rate of the bacteria is an exponential equation. The form of exponential equations is:

FV = P(1 + r)^t

Where:

45,000,000 = 100( 2.5)^t

t = log 450,000 / log 2.5

t = 14.21 hours

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Answer:

298.97 minutes

Step-by-step explanation:

2^x = 1 000 000      where 'x' is the number of 15 minute periods

x = 19.931      15 minute periods = 298.97 minutes

Answer:

a) 1

Step-by-step explanation:

added in the picture

Answer: 1.44

Step-by-step explanation:

(original price) - (1/6 of the original price) = 1.20

If you let x = original price, then the equation is:

x - 1/6 x = 1.20

5/6 x = 1.20

x = 1.44

the original price is £1.44.

Credits to the person who also answered :)

I hope this helps!

Answer:

£1.44

Step-by-step explanation:

Since the original price was reduced by 1/6, that means the new price is 5/6 of the original price.

Let x = original price.

Write an equation and solve it.

5/6 x = £1.20

x = £1.20 × 6/5

x = £1.44

I assume you meant to type f(x)=2^x.

Answer:

Solution*-1

Step-by-step explanation:

because 1 is the value of (1)

Answer:

x = 1

Step-by-step explanation:

Step 1: Combine like terms.

Step 2: Divide both sides by 30.

Step 3: Check if solution is correct.

Therefore, x = 1.

Solution: X=1

[tex]\searrow[/tex]

Detailed explanation:

Here we need to solve for x. x is our unknown. It's what we should find.

[tex]\searrow[/tex]

Note right up front that we can add the x's. This is a process that is known as "Combining Like Terms". We can combine them by adding, like here.

[tex]\twoheadrightarrow\sf 29x+x=30[/tex]

"x" is the same as 1x.

[tex]\twoheadrightarrow\sf 30x=30[/tex]

We're getting closer to finding the value of the unknown!

Now we know that if we multiply 30 times the unknown, we will get 30.

What will we get if we multiply 1 times the unknown? 1 is what we will obtain upon dividing by 30.

So our unknown, or x, is 1.

Voila! There's our answer!

_____________________________

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

_____________________________

( 1, ∞)  is the domain of (b o a)(x)

A function is defined as a relation between a set of inputs having one output each.

According to the question,

[tex]a(x) = 3x + 1 \\\\b (x) =\sqrt{x+4}[/tex]

To find the domain of the composite function,

[tex](b o x) (x) = b(a(x))\\\\(b o x) (x) = b(a(3x-1))\\\\(b o x) (x) = \sqrt{3x+ 1 -4} \\\\(b o x) (x) = \sqrt{3x -3}\\\\[/tex]

Therefore,

[tex]3x - 3 \geq 0\\3x \geq 3\\x \geq 1\\\\[/tex]

Hence , [ 1, ∞ ] is is the domain of (b o a)(x).

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