Plot the intercepts to graph the equation.
2x−8y=−8
Graph it

Answer:

\(3 \leqslant - 3\)

Answer:

75%

Step-by-step explanation:

To determine the total percentage of athletes who enjoy cycling, we need to consider the percentages given in the problem.

According to the information provided:

55% of the team does not like to run.

Of those who do not like to run, 70% enjoy cycling.

Of those who enjoy running, 80% also enjoy cycling.

To calculate the total percentage of athletes who enjoy cycling, we need to consider the percentages from both branches of the tree diagram.

Percentage of athletes who do not like to run and enjoy cycling:

= (Percentage of athletes who do not like to run) * (Percentage of those who enjoy cycling within that group)

= 55% * 70% = 38.5%

Percentage of athletes who enjoy running and enjoy cycling:

= (Percentage of athletes who enjoy running) * (Percentage of those who enjoy cycling within that group)

= (100% - 55%) * 80% = 45% * 80% = 36%

Total percentage of athletes who enjoy cycling:

= Percentage of athletes who do not like to run and enjoy cycling + Percentage of athletes who enjoy running and enjoy cycling

= 38.5% + 36% = 74.5%

Therefore, the correct answer is:

74.5%

Answer:

9/2π

=14.13716694

Step-by-step explanation:

The equation of the volume of the sphere:

V=4/3πr^3

If the diameter is 3cm, the radius is divided by 2, so 1.5cm.

Plug that in, 4/3π1.5^3

Use a calculator:

9/2π

=14.13716694

\(14,14~cm^{3}\)

d = 3cm = 2r => r = d/2 = 3cm/2 = 1,5 cm

\(V=\frac{4}{3}\pi*r^{3}\\\\=\frac{4}{3}*\frac{22}{7}*3.375cm^{3}\\ \\=\frac{4*22*3.375}{21}cm^{3}\\ \\=\frac{297}{21}cm^{3}\\ \\\)

≈ \(14,14~cm^{3}\)

Answer:11

Step-by-step explanation:

Look at middle of pot line

Answer:

it iis 13 :) plz mark me brainlyisst

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:

Corresponding angles: ∠1 ≅ ∠5.

Alternate interior angles: ∠4 ≅ ∠6.

Alternate exterior angles: ∠2 ≅ ∠8

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:

∠1 ≅ ∠5

By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:

∠4 ≅ ∠6

By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:

∠2 ≅ ∠8

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Based on the information provided, it seems like there is a dataset that contains three values: 30, 39, and 45. The prompt states that each value appears a certain number of times in the dataset.

For example, the value 30 appears "time(s)" in the dataset, although we don't know exactly how many times it appears. Similarly, the value 39 appears a certain number of times, as does the value 45.

Without more information about the dataset, it is difficult to draw any conclusions about the significance or pattern of these values. It is possible that they are part of a larger dataset and represent only a small portion of the data.

Alternatively, they could be outliers or represent a significant trend in the data. Further analysis would be necessary to determine their meaning and significance.

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Answer:

7 and 4

Step-by-step explanation:

when you multiply 7×4 the answer is 28 and when you add them the answer is 11.

I hope this helps

Answer:

4 and 7

Step-by-step explanation:

xy = 28 ..........1

x + y = 11........2

x = 11 - y.........3

substitute 3 in 1:

(11 - y)*y = 28

-y² + 11y - 28 = 0

y² - 11y + 28 = 0

( y - 7)( y - 4) = 0

y = 7 or y = 4

subs in 2:

x = 4 or x = 7

pairs: (4 ; 7) and (7 ; 4)

The value of function f (4) is,

⇒ f (4) = 19

We have to given that;

The function is,

⇒ f (x) = x² + 3

Now, WE can find the value of f (4) by substitute x = 4 in above function as,

⇒ f (x) = x² + 3

Plug x = 4;

⇒ f (4) = 4² + 3

⇒ f (4) = 16 + 3

⇒ f (4) = 19

Thus, The value of function f (4) is,

⇒ f (4) = 19

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Answer:

science only is 220

math only is 180

either math or science is 60

Answer:

\(\sqrt{330}\)

Step-by-step explanation:

g(f(x)), for x = 5

What this means is you take the function f(x), which is x³ - 3x, and you plug it into g(x), which is \(\sqrt{3x}\), anywhere you see an x.

g(x) = \(\sqrt{3x}\)

g(f(x)) = g(x³ - 3x) (as f(x) = x³ - 3x)

g(x³ - 3x) = \(\sqrt{3(x^{3} - 3x)}\)

= \(\sqrt{3x^{3} - 9x}\)

Now, as x = 5, we can plug in 5 for all of the x's, to find g(f(5)).

\(\sqrt{3(5)^{3} - 9(5)}\)

\(\sqrt{3(125) - 45}\)

\(\sqrt{375 - 45}\)

\(\sqrt{330}\)

≈ 18.16590212

However, as it says "exact simplified form", and the square root of 330 can't be simplified any further, your final answer is \(\sqrt{330}\).

The function f( g(5)) gives the value 45.

Here we want to find two functions f(x) and g(x) such that their composition (remember that the composition of two functions means that we are evaluating the first function in the second function, this would mean that (f ∘ g)(x)  = f(g(x)))  is equal to the function h(x).

Where h(x) = (9x + 6)^2

Then we can define g(x) as that linear equation and f(x) as a quadratic function, as;

h(x) = 8x + 5

When we compose these two functions, we get:

(f°g)(x) = f( g(x)) = h(x)

Now ,

(f ∘ g)(x) = 8x + 5

In this way, we conclude that if we define:

f( g(5)) = 8(5) + 5 = 45

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Using the correct order of operations, the value is 13

PEDMAS is simply described as a mathematical acronym that represents the different arithmetic operations in order from least to greatest of application.

The alphabets represents;

From the information given, we have;

15-(4-3)2

solve the parentheses first

15 - (1)2

Multiply the values

15 - 2

Subtract the values

13

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The complete question:

Solve using the correct order of

operations of PEMDAS

15 - (4-3)2

Answer:

The Answer is 2000$..........

Answer: 9.9 years

Step-by-step explanation:

We have an interest of 7.25%, compounded continuously, we can write this as:

P = A*e^(r*n)

where:

P is the total balance after n years.

A is the initial investment.

r is the ratio of increase, in the case of a continuous compound, this will be:

r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070

n is the time in years.

Then we want to have our initial investement doubled, this means:

P = 2*A

let's find n for this situation:

P = 2*A = A*e^(0.070*n)

     2 = e^(0.070*n)

Now we can apply the Ln() to both sides, remember that:

Ln(e^x) = x

Then:

 2 = e^(0.070*n)

Ln(2) = Ln(e^(0.070*n)) = 0.070*n

Ln(2)/0.070 = 9.9

So we need 9.9 years to double the initial investment.

Answer: A: 3/5

Step-by-step explanation:

-2/5 + a = 1/5

add -2/5 on both sides

a = 1/5 + 2/5

a = 3/5

-2/5+a=1/5

a=1/5+2/5

a=3/5

Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.

When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.

This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.

To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:

Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years

To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.

The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years

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Answer:

Required length is 13 feet

Step-by-step explanation:

\({ \rm{length = \sqrt{ {12}^{2} + {5}^{2} } }} \\ \\ { \rm{length = \sqrt{144 + 25} }} \\ \\ { \rm{length = \sqrt{169} }} \\ \\ { \rm{length = 13 \: feet}}\)

Rational number

Please mark brainliest

The numbers arranged in the correct order are:

-3 = -3

-3 < | -1 |

0 < | 1 |

2 > | 0 |

3 > | 1 |

We have,

-3 = -3:

This is a true statement because -3 is indeed equal to -3.

-3 < | -1 |:

This is also a true statement.

The absolute value of -1 is 1, so we are comparing -3 and 1.

Since -3 is less than 1, the inequality is true.

0 < | 1 |:

Again, this is a true statement.

The absolute value of 1 is 1, so we are comparing 0 and 1.

Since 0 is less than 1, the inequality holds true.

2 > | 0 |:

This is also a true statement.

The absolute value of 0 is 0, so we are comparing 2 and 0.

Since 2 is greater than 0, the inequality is true.

3 > | 1 |:

Once again, this is a true statement.

The absolute value of 1 is 1, so we are comparing 3 and 1.

Since 3 is greater than 1, the inequality holds true.

Therefore,

By arranging the given numbers in this order: -3, -3, -1, 0, 1, 2, 3, all of the number sentences become true.

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The amount of money in account A is decreasing by 8% per year. Account B recorded a greater percentage change in amount of money over the previous year.

Amount is an indefinite quantity of something, usually money or a measurement of quantity. It is often used to describe the total amount of money received or spent in a particular instance or over a period of time.

The amount of money in account A is decreasing by 8% per year. This can be seen by looking at the 0.92 in the equation. This is the rate of decay, and represents a 8% decrease every year.

Part B: Account B recorded a greater percentage change in the amount of money over the previous year. Looking at the table, the amount of money decreased by 10.51%, 10.22%, and 11.94% in the first, second, and third years respectively. This is greater than the 8% decrease in account A.

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Answer:

x = -2

Step-by-step explanation:

you need to use the distribution property first!

4(x + 5) = 12 ------> 4x + 20 = 12

now you need to subtract 20 from both sides so that you can isolate x

4x = -8

finally, divide -8 by four so that x is alone, meaning solve to find x!

x = -2

Hey there!

4(x + 5) = 12

4(x) + 4(5) = 12

4x + 20 = 12

SUBTRACT 20 to BOTH SIDES

4x + 20 - 20 = 12 - 20

CANCEL out: 20 - 20 because it gives you 1

KEEP: 12 - 20 because it help solve for the x-value

NEW EQUATION: 4x = 12 - 20

SIMPLIFY IT!

4x = -8

DIVIDE 4 to BOTH SIDES

4x/4 = -8/4

CANCEL out: 4/4 because it gives you 1

KEEP: -8/4 because it gives the x-value

NEW EQUATION: x = -2

Therefore, your answer is s x = -2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Answer:

33 1/3%

Step-by-step explanation:

(672 - 600) / 4 = 72 / 4 = $18, which is 33 1/3%

Hope that helps! A Brainliest would be appreciated :)

Answer:

3%

Step-by-step explanation:

1) 672-600=72 = the simple interest

2) 72=600(4)r which equals 72=2400r

3) divide 72 by 2400 which get 0.03

4) 0.03 = 3%

Answer: 5(f+7)

Step-by-step explanation: I know you didn't ask for an explanation but here:

First what you want to do is find what both terms have in common, the LCM, (least common multiple), is the only thing common between them, which is 5, so divide 35 by 5, which is 7, and since you divided by 5, you put it outside, and put f and 7 together.

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

Your dead meat then...

Step-by-step explanation:

But I’m pretty sure its b?

sorry if it’s wrong

Answer:

the answer is c took this before

Based on the expression given, when it is solved, as a fraction in its simplest form it would be 558/1.

The expression, 62(9) can be rewritten as:

= 62 x 9

This is because the brackets denote that the number within the brackets should be multiplied by the number outside the bracket.

The solution is:

= 62 x 9

= 558

As this is an integer, it means that it has a denominator of 1. The fraction in its simplest form is therefore:

= 558 / 1

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