Solve the following equation for x.
10x – 18 = 32

Answer:50 +30 = 80 i guess

Step-by-step explanation:

Answer:

D or the Last one

Step-by-step explanation:

because the equation equals that and it is a perfect square method because the middle term is not canceled out. Hope this helps!

The margin of error for the survey is approximately 4.02%. The likely interval that contains the true population percentage is 54.98% to 63.02%.

To calculate the margin of error, we can use the formula:

Margin of Error = Critical Value x Standard Error

The critical value is a measure of the desired level of confidence. In this case, we'll assume a 95% confidence level, which corresponds to a critical value of approximately 1.96 (for a large sample size).

The standard error can be calculated using the formula:

Standard Error = sqrt((p * (1 - p)) / n)

where:

p is the sample proportion (59% or 0.59 in decimal form)

n is the sample size (772)

Plugging in the values, we get:

Standard Error = sqrt((0.59 * (1 - 0.59)) / 772) ≈ 0.016

Now, we can calculate the margin of error:

Margin of Error = 1.96 * 0.016 ≈ 0.031

To determine the likely interval, we subtract and add the margin of error to the sample proportion:

Lower Bound = 0.59 - 0.031 ≈ 0.5598 (or 55.98%)

Upper Bound = 0.59 + 0.031 ≈ 0.6302 (or 63.02%)

Therefore, the interval that is likely to contain the true population percent is approximately 55.98% to 63.02%.

This means that we can be 95% confident that the true proportion of voters who are voting "no" on the local initiative measure falls within this interval.

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The surface defined by the equation x^2 + y^2 + 8z^2 + 14x = -48 is :

an ellipsoid.

To see this, we can rearrange the equation to the standard form of an ellipsoid:

x^2 + 14x + y^2 + 8z^2 = -48

Completing the square for the x and y terms, we have:

(x^2 + 14x + 49) + y^2 + 8z^2 = -48 + 49

(x + 7)^2 + y^2 + 8z^2 = 1

Dividing both sides by the constant term, we get:

(x + 7)^2/1 + y^2/1 + 8z^2/1 = 1

This equation represents an ellipsoid centered at (-7, 0, 0) with semi-axes lengths of 1 in the x-direction, 1 in the y-direction, and √(1/8) in the z-direction.

Therefore, the surface defined by the equation is an ellipsoid.

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Answer:

The equation which will give the value of x when solved is C. x + 20 = 120

x=100

Step-by-step explanation:

Total distance=120 miles

Distance covered=x miles

Distance remaining=20 miles

The equation is

Total distance=Distance covered + distance remaining

120 miles= x miles + 20 miles

120 miles - 20 miles = x miles

100 miles =x miles

Check:

Total distance=Distance covered + distance remaining

120 miles = 100 miles + 20 miles

120 miles =120 miles

The equation which will give the value of x when solved is C. x+20=120

Answer:

Step-by-step explanation:

Hey there!

\(-8+(-15)\)

To easily solve this, try removing the negative and add 8 + 15.

\(8+(15)=23\)

Now add back the negative.

\(-8+(-15)=-23\\-23(ANSWER)\)

Hope this helps and have a great weekend!

\(\text {-TestedHyperr}\)

Answer:

30 students

Step-by-step explanation:

The 15 students that came were 30% of the class:

30% = 15 students

To find 100%, we can first find 10% by dividing both sides by 3

10% = 3 students

(30% ÷ 3 = 10%, 15 ÷ 3 = 5)

Then, multiply both sides by 10 to get 100%

100% = 30 students

(10% × 10 = 100, 3 × 10 = 30)

Answer:

2 + 2 is 5

Step-by-step explanation:

everyone knows that

Answer:

Obviously its 22

Step-by-step explanation:

By choosing c = 3 and n0 = 1, we have proven that 3n - 4 is lower bounded by 3 for all n ≥ 1.

To find a lower bound for 3n - 4, we need to find a constant c and a value n0 such that for all n ≥ n0,

the expression 3n - 4 is greater than or equal to c.

Let's choose c = 3 and n0 = 1.

For n ≥ 1, we have:

3n - 4 ≥ 3n - 4

Since 3n - 4 is equal to itself, it is greater than or equal to 3 for all n ≥ 1.

Therefore, by choosing c = 3 and n0 = 1, we have proven that 3n - 4 is lower bounded by 3 for all n ≥ 1.

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The statement holds for n=k+1.

By mathematical induction, we have proven that 1·1!+2·2!+···+n·n!=(n+1)!−1 for all positive integers n.

What are integers?

Integers are a set of numbers that include whole numbers (positive, negative, or zero) as well as their opposites.

We will use mathematical induction to prove the statement.

Base case: Let n=1. Then the left-hand side of the equation is 1·1!=1 and the right-hand side is (1+1)!=2!-1=1. Therefore, the statement holds for n=1.

Induction hypothesis: Assume that the statement holds for some positive integer k, i.e., 1·1!+2·2!+···+k·k!=(k+1)!−1.

Inductive step: We need to show that the statement also holds for k+1, i.e., 1·1!+2·2!+···+(k+1)·(k+1)!=(k+2)!−1.

We have:

1·1!+2·2!+···+k·k!+(k+1)·(k+1)!=k!+1·1!+2·2!+···+k·k!+(k+1)·(k+1)!=k!+(k+1)!−1+(k+1)·(k+1)!=k!(k+1+1)+(k+2)!−1=(k+1)!(k+2)−1=(k+2)!−1,

where we have used the induction hypothesis in the second step and simplified in the fourth step.

Therefore, the statement holds for n=k+1.

By mathematical induction, we have proven that 1·1!+2·2!+···+n·n!=(n+1)!−1 for all positive integers n.

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The probability that a randomly selected black bear weighs more than 375 pounds is approximately 0.0119, or 1.19%.

To find the probability that a randomly selected black bear weighs more than 375 pounds, we can utilize the properties of the Normal distribution.

Given:

Mean (μ) = 250 pounds

Standard deviation (σ) = 55 pounds

We can standardize the weight value of 375 pounds using the Z-score formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

Plugging in the values:

Z = (375 - 250) / 55

Z = 125 / 55

Z ≈ 2.27

Next, we need to find the probability of a randomly selected bear weighing more than 375 pounds. This corresponds to finding the area under the Normal curve to the right of the Z-score.

Using a standard Normal distribution table or a statistical calculator, we can find the area to the left of the Z-score of 2.27, which is approximately 0.9881.

Since we want the probability of the weight being more than 375 pounds, we subtract the area to the left from 1:

Probability = 1 - 0.9881

Probability ≈ 0.0119

Thus, the likelihood that a black bear chosen at random weighs more than 375 pounds is roughly 0.0119, or 1.19%.

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Answer:

first question: 24/40

second question: 36/5

Answer:

3. 24/5
4. 36/5

Step-by-step explanation:

For number 3, we can find the answer by multiplying 3/5 by 8, because the rabbits ate 3/5 of the celery in each garden. That's 3/5 eight times.

3/5 · 8/1 = 24/5

For number 4, we apply the rules of multiplication and solve A whole number can turn into a fraction by adding one as the denominator. Next, simply multiply the numerators by the denominators.

12/1 · 3/5 = 36/5

hope this helps!

Answer:

-19.8

Step-by-step explanation:

Answer:

-19.8

Easy :))))

Answer:

B

Step-by-step explanation:

The first term has a power and the second term doesnt have a power.

Hope it helped. Pls mark me as brainliest.

Answer:

B

Step-by-step explanation:

One is not squared. The other is

Answer:

The answer is -2 and 5

Step-by-step explanation:

I did the test!

Have a great day

 o-----o

 ( ' (x) ' )

c (") _ (")

:)

Answer:

x=70

Step-by-step explanation:

If we extend the lines we can create an imaginary angle that is directly vertically opposite angle x (see picture for visualisation).

Then, using the rule that alternate interior angles are equal, we can deduct that this new angle is 30+40=70 degrees.

Finally, we know that vertically opposite angles are also equal meaning that x=70 degrees.

Hope this helped!

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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The value of x is equal to 4.8 units.

In Mathematics and Geometry, the volume of a triangular prism can be determined or calculated by using the following formula:

Volume = base area × height of the prism.

Assuming the variable x represent the length of one side of its base. Since the height of this triangular prism measures 11 units and its volume measures 130.9 cubic units, the value of x can be determined as follows;

Base area of triangle = 1/2 × x × 5

Base area of triangle = 5x/2 square units.

Volume of triangular prism = base area × height of the prism.

130.9 = 5x/2 × 11

130.9/11 = 5x/2

11.9 = 5x/2

5x = 23.8

x = 4.8 units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

Answer:

The polynomial x3 + 8 is equal to (x + 2)(x2 – 2x + 4)

Step-by-step explain

Answer:

(0,0)

Step-by-step explanation:

Completing the square is a method used to solve quadratic equations, so make sure the equation you're trying to solve is quadratic.

To solve an equation using the method of completing the square, rewrite it in the form \((x + p)^2\) = q, then solve for x.

The method of completing the square is a technique used to rewrite a quadratic equation in the form of a perfect square trinomial, allowing for easier factoring or solving

To solve an equation using the method of completing the square, follow these steps:

1. Start with a quadratic equation in the form a\(x^2\) + bx + c = 0.
2. Divide the entire equation by a, if necessary, to make the coefficient of x² equal to 1.
3. Move the constant term (c) to the other side of the equation.
4. Take half of the coefficient of x (b/2) and square it. This gives you \(\left(\frac{b}{2}\right)^2\).
5. Add \(\left(\frac{b}{2}\right)^2\) to both sides of the equation.
6. Rewrite the left side of the equation as a perfect square trinomial. Factor it if possible.
7. Take the square root of both sides of the equation.
8. Solve for x by isolating it on one side of the equation.
9. Simplify the square root, if possible.
10. Check your solution by substituting it back into the original equation.

Remember, completing the square is a method used to solve quadratic equations, so make sure the equation you're trying to solve is quadratic.

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The correct answer is: b. II, only.

To determine which of the given functions has an inverse function on the domain (-∞, ∞), we need to analyze the properties of each function.

I. f(t) = 14

This is a constant function. Since it does not have a unique output for each input, it does not have an inverse function.

II. g(t) = 1 + 3t

This is a linear function with a non-zero slope. Linear functions with non-zero slopes have inverse functions. Therefore, function g(t) has an inverse function.

III. h(t) = sin(t)

This is a trigonometric function. Trigonometric functions do not have inverse functions on the entire domain (-∞, ∞) since they are periodic and do not pass the horizontal line test. Therefore, function h(t) does not have an inverse function on the domain (-∞, ∞).

Based on the analysis, the functions with inverse functions on the domain (-∞, ∞) are:

II. g(t) = 1 + 3t

Therefore, the correct answer is: b. II, only.

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Answer:

so the answer is = 210 beacuse  u have multiply 5 times 6 times 7

Step-by-step explanation:

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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Nico, Raj and Sandra are correct.

And the explanation is given.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

An equation,

2/5(5 +x) = 8.

Nico, Aditi, Erick, Raj, and Sandra are solving the equation.

Approach 1:

Multiply by 5/2.

(5/2)(2/5)(5 +x) = 8(5/2)

5 + x = 20

x = 15.

Approach 2:

Multiply by 1/2 both sides

(1/2)(2/5)(5 +x) = 8(1/2)

5 + x = 4(5)

x = 15.

Approach 3:

Simplifying,

2 + 2/5x = 8

2x/5 = 6

x = 30/2

x = 15.

Therefore, Nico, Raj and Sandra are correct.

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Answer:

look I have sent you the answer of your question.

This trinomial can be factored as two binomials.

So setup two sets of parenthses.

8x² can be factored as 8x · x or 4x · 2x

and -3 can be factored as +3 · -1, -1· +3, -3 · +1, or +1 ·-3.

If the middle term in the original trinomial is even,

try pairs of even factors first if you have that option.

In this case, we have a 4x and a 2x so let's try those first.

Let's do this with all the factors of -3.

So our first possible answer could be (4x + 3)(2x - 1).

Since the product of the outer terms, -4x, plus the product of the inner, 6x,

doesn't add to our middle term, this pair doesn't work.

Now let's try (4x - 1)(2x + 3).

The product of the outer terms, 12x, plus the product of the inner, -2x,

equals the middle term in our original trinomial, this pair works.

So our answer is (4x - 1)(2x + 3).

Answer:

B

Step-by-step explanation:

The first one should be 9.