convert the following from vertex to standard form

Answer: angle 7 is equal

Step-by-step explanation: I help ;)

Answer:

c-120

Step-by-step explanation:

When (x+2)⁶  is written as a polynomial, the coefficient of the term x⁴ is 60.

We have to expand (x+2)⁶ to form a polynomial.

A polynomial can have constants, variables and exponents, but never division by a variable.

Therefore, using pascal triangle, the appropriate row is 1 6 15 20 15 6 1.

Hence,

Substituting the appropriate powers of x and 2 gives 1x⁶2⁰ + 6x⁵2¹ + 15x⁴2² + 20x³2³ + 15x²2⁴ + 6x¹2⁵ + 1x⁰2⁶.

Finally,

x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64

Therefore, the coefficient of x⁴ is 60.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

300

Step-by-step explanation:

375 divided by 5=75

Each “1”=75

4x75=300

There are 300 boys.

Hope this makes sense

Answer:

300 boys

Step-by-step explanation:

Let the number of boys = x

Girls: 375

boys : girls = 4 : 5

total in the ratio is 9

girls are 5/9 of total, and are 375

boys are 4/9 of total

5/9 x = 375

x = 375 × 9/5

x = 675

Boys are 4/9 of total.

4/9 × 675 = 300

Answer:

b = -1.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

The volume equation:

Find the value of l:

\(\\ \sf\longmapsto V=LBH\)

\(\\ \sf\longmapsto 5(7)L=70\)

\(\\ \sf\longmapsto 35L=70\)

\(\\ \sf\longmapsto L=2in\)

The number of fewer people living in Todsham in 6 years compared with now, found using the formula for population growth rate, is about 79,500 people

The formula for finding the population of a town after a specified number of years, where the rate of change of the population, and the number of people in the town are known can be presented as follows;

P = A·(1 - r)ˣ

Where;

P = The current population of the town = The population after the indicated duration

A = The initial population of the town = 300,000

r = The population growth rate = 5%

The population after 6 years is therefore;

P = 300,000 × (1 - 0.05)⁶ ≈ 220,527

The number of fewer people living in Todsam in 6 years = 300,000 - 220,527 = 79473 ≈ 79,500

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Answer:

I think that the answer is D.

Step-by-step explanation:

all the others fit in the polynomial category including 12x because 1 term answers can be polynomial.  

The expressions are polynomial

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

a)

A = x² - 2x   be equation (1)

On simplifying the equation , we get

The expression can be written as x² - 2x polynomial is a combination of terms separated using + or − signs.

So , it is a polynomial

b)

A = 12x

On simplifying the equation , we get

The expression can be written as 12x polynomial is a combination of terms separated using + or − signs.

So , it is a polynomial

c)

A = x³/3

On simplifying the equation , we get

The expression can be written as x³/3 polynomial is a combination of terms separated using + or − signs.

So , it is a polynomial

d)

A = ( x³ + 1 ) / x

On simplifying the equation , we get

The expression can be written as ( x³ + 1 ) / x polynomial is a combination of terms separated using + or − signs.

So , it is a polynomial

Hence , the equations are polynomial

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The sample standard deviation is approximately 0.83.

Sample size \(($n$)\) = 36

Population mean \(($\mu$)\) = 50

Population standard deviation \(($\sigma$)\) = 5

The sample standard deviation, denoted as \($s$\) can be estimated using the formula:

\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)

where:

\($x_i$\) represents the individual data points in the sample

\($\bar{x}$\) is the sample mean

In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.

Therefore, the sample standard deviation can be approximated as:

\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)

Substituting the given values:

\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)

Hence, the sample standard deviation is approximately 0.83.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

A

Step-by-step explanation:

Edge 2021

Answer:

A. left 3, up 4

Step-by-step explanation:

Doing it on EDG right now!

Good luck to yalls :)

A principal amount of P 200,000 was deposited for a period of 4 years and 6 months, and it earned an interest of P 85,649.25. To find the rate of interest compounded monthly, we can use the formula for compound interest and solve for the interest rate.

The formula for compound interest is given by A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, we are given the principal amount P as P 200,000, the final amount A as P 285,649.25 (P 200,000 + P 85,649.25), the time t as 4 years and 6 months (or 4.5 years), and we need to find the interest rate r compounded monthly (n = 12).

Using the given values in the compound interest formula and solving for r, we can find the rate of interest. By rearranging the formula and substituting the known values, we can isolate the interest rate r and calculate its value.

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An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

The variable you alter, regulate, or change in an experimental study to examine its effects is known as an independent variable. It is named "independent" because it is unaffected by any other study variables.

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Answer:|x-1|-2

Step-by-step explanation: see picture below!

the given expression is

f(x) = x^5

f(x) = - 0.5f(x -3) + 1

here, x is replaced with x - 3.

so x is shifted 3 unit right.

also,

f(x) is replaced by f(x) + 1

that means the graph is shifted 1 unit vertically up.

so the correct answer is option A

The graph of f(x) is shifted vertically up 1 unit, shifted horizontally to the right 3 units, vertically compressed by a factor of 0.5, and reflected across the x-axis.

Answer:

x = 5 + 35

Step-by-step explanation:

This is correct if you mean x2 as in x^2

The value of x in the equation x² - 10x+ 25 = 35 is x=5±√35

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is x² - 10x+ 25 = 35

Now we to solve for x by changing the equation to quadratic equation.

Subtract 35 from both sides

x² - 10x+ 25 - 35 = 0

x² - 10x -10 =0

By complete square method.

(x-5)² -10 -5² = 0

(x-5)²=10+5²

(x-5)²=10+25

(x-5)²=35

Take square root on both sides

(x-5)=±√35

x=5±√35

Hence, the value of x in the equation x² - 10x+ 25 = 35 is x=5±√35

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Answer:

\(C" = (-4,-3)\)

Step-by-step explanation:

Given

\(C = (4,3)\)

Required

The coordinates of C"

From the question, we understand that:

C is reflected over x-axis to give C'

The rule to this is:

\(C(x,y) \to C'(x,-y)\)

So, we have:

\(C(4,3) \to C'(4,-3)\)

Next, C' is reflected over y-axis to give C''

The rule to this is:

\(C'(x,y) \to C"(-x,y)\)

So, we have:

\(C'(4,-3) \to C"(-4,-3)\)

Answer:

i would not rlly know what my growth factor is actually

Step-by-step explanation:

The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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Answer:

12.6

Step-by-step explanation:

According to Pythagoras theorem

c²=a²+b²

c=√a²+b²

√4²+12²

√16+144

√160

12.6

Answer:

5/39

Step-by-step explanation:

It's 0.1282051282

but we have to put it as a fraction so it's 5/39

Answer:

5

Step-by-step explanation:

f(x)=3x-1

f(2)=3×2-1

f(2)=6-1

f(2)=5

Answer:

5

Step-by-step explanation:

i took the quiz

The probability of exactly 2 defective bulbs in a sample of 3 bulbs chosen with replacement from the bin is 0.288 or approximately 28.8%.

To solve this problem, we can use the binomial probability distribution formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where P(X=k) is the probability of getting exactly k successes, n is the total number of trials, p is the probability of success in each trial, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

In this case, n = 3 (because we are choosing 3 bulbs), p = 4/10 = 0.4 (because the probability of choosing a defective bulb is 4 out of 10), and we want to find P(X=2) (the probability of getting exactly 2 defective bulbs).

Substituting these values into the formula gives:\

P(X=2) = (3 choose 2) * 0.4^2 * (1-0.4)^(3-2)

= 3 * 0.16 * 0.6

= 0.288

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Answer:

16 square feet is left uncovered.

Explanation:

Essentially, you’re trying to find the difference between the area of the door and the area of the poster. The area formula for a basic rectangle is l • w (length times width.) We have both of those dimensions for the separate shapes, so you can go ahead & do that math separately (as shown in the attachment!) Then, you subtract the area of the poster from the area of the door, and you have your answer. As always, I hope this is accurate & helpful! Good luck on your test, friend. Best wishes <3