Use the formula for finding a z-score to determine the missing value in the following table. Round your answer to two decimal places, if necessary

Result = 62°

The equation in slope-point form is:

A. The change in "y" is represented by "y - y1". The function shifts "y1" units down.

B. The change in "x" is represented by "x -x1". The function shifts "x1" units right.

Explanation

Step 1

to find (f/g) (t) , just replace, so

so, the answer is

I hope this helps you

Area of triangle = 1848

Given the sides of the triangle

a =88

b=53

Using the formula of the area of a triangle

Substitute the values of the sides and area, then simplify

Hence,

The value of the included angle to the nearest tenth degree is 52.4

Recall the 30-60-90 rule of a right triangle

If b = 6, then we have the following

Relation 1 is a function

Relation 2 is Not a function

Relation 3 is a function

Relation 4 is a function

Take into account that the domain are the set of x values with point on the line.

Furthemore, consider that for a piecewise function, blank points means that such a point is not included in the domain and range.

As you can notice, there is a blank point at (-1,-1) according to the scale of the coordinate system. The x-coordinate of this point is -1.

Then, -1 is not in the domain.

Fractions and percentages

Given the expression:

The product, using an exponent, will be:

start by writing the equation in standard form

find the vertex of the equation (h,k), in which

find h

find the value of k

after having the vertex, write the equation in vertex form

The number is given as

A fraction as hundredths has a 3 digit number as the denominator. Usually, it has 100 as the denominator.

From the question, the denominator is 10. To make it 100, we can multiply it by 10, such that

So that the number does not change, we must multiply the numerator as well with the number we multiplied the denominator by, in this case, 10, such that

Therefore, the fraction in hundredths is

To find the decimal form, we use the long division method as follows:

The decimal is 0.7.

However, in hundredth form, there must

Answer:

[tex]\textsf{Factored form}: \quad P(x)=\dfrac{2}{5}x(x-4)^2(x+2)[/tex]

[tex]\textsf{Standard form}: \quad P(x)=\dfrac{2}{5}x^4-\dfrac{12}{5}x^3+\dfrac{64}{5}x[/tex]

Step-by-step explanation:

Given information:

The multiplicity of a root refers to the number of times the associated factor appears in the factored form of the equation of a polynomial.

Therefore:

[tex]\boxed{P(x)=ax(x-4)^2(x+2)}[/tex]

where a is a constant to be found.

To find the value of a, substitute the given point (5, 14) into the function and solve for a:

[tex]\begin{aligned}P(5)&=14\\\implies 5a(5-4)^2(5+2)&=14\\5a(1)^2(7)&=14\\5a(1)(7)&=14\\35a&=14\\a&=\dfrac{14}{35}\\a&=\dfrac{2}{5}\end{aligned}[/tex]

Therefore, the formula for P(x) in factored form is:

[tex]\boxed{P(x)=\dfrac{2}{5}x(x-4)^2(x+2)}[/tex]

Expand the factored form to write the formula in standard form:

[tex]\implies P(x)=\dfrac{2}{5}x(x+2)(x-4)^2[/tex]

[tex]\implies P(x)=\left(\dfrac{2}{5}x^2+\dfrac{4}{5}x\right)(x^2-8x+16)[/tex]

[tex]\implies P(x)=\dfrac{2}{5}x^4-\dfrac{16}{5}x^3+\dfrac{32}{5}x^2+\dfrac{4}{5}x^3-\dfrac{32}{5}x^2+\dfrac{64}{5}x[/tex]

[tex]\implies P(x)=\dfrac{2}{5}x^4-\dfrac{12}{5}x^3+\dfrac{64}{5}x[/tex]

To solve this question, we need to use the formula of compound interest

We would have to input these values into the above equation and solve for t

It will take 14 years and 6 months for $5000 compounded annually at 5% to get to $10,230

We are given that a quantity of $4914000 is divided in the ratio of 1:2:3:4:5:6:7. To determine the amount for each one, let's remember that when a quantity "N" is divided in the ratio of x:y:z:d..., then each part corresponds to:

And so on. Therefore, the part of Roddy Rich is:

the part of lil babe is

Jay cole part is:

Da baby part:

Young thug part:

Future part:

Gunna part:

The financing plan is

50 dollars upfront

rest of the remaining money in 12 equal installments

Let "p" be price of couch.

50 given upfront, so remaining "p - 50". This is evenly split into 12 months.

"q" is:

This is the relationshp between "q" and "p".

Let's analyze the choices.

First Choice:

THis is exactly what we got. So this is right relationship shown.

Second Choice:

Let's solve for p:

This is second choice. So, it's right.

Third Choice:

The 2nd last line while solving for p is this choice. Thus, third choice is right.

Fourth Choice:

This doesn't give the relationship between p and q properly. It is wrong.

Correct Answer:

12( q + 50 ) = p

Given

To find: What additional information do you need to prove ΔNOP≅

ΔQSR?

Explanation:

It is given that,

That implies,

The given triangles can be said to be congruent using the rules,

1) SSS (side-side-side)

2) SAS (side-angle-side)

3) ASA (angle-side-angle)

4) AAA (angle-angle-angle)

Here, the sides

Then by using SAS congurence rule, the required additional information needed to prove ΔNOP≅ΔQSR is

Hence, the answer is option D)

Given : -5 < x < 5

And we need to reach to a < 6x + 2 < b

So,

-5 < x < 5

multiply all sides by 6

So,

-30 < 6x < 30

add 2 to all sides

So,

-30 + 2 < 6x + 2 < 30 + 2

-28 < 6x + 2 < 32

Compare the final result to : a < 6x + 2 < b

So, a = -28 and b = 32

If the function is:

To find h(0.5) we have to replace x=0.5 in our equation so:

and finally we can simplify the solution:

From the given information, the sketch of the problem is shown below:

It is required to find the distance between points A and B.

The sum of angles in a triangle is 180º, it follows that:

Recall from the Law of Sines that the following equation holds:

Substitute the angle measures and side length into the equation:

Both functions start up at the same y value when x = 0:

However, from there we will multiply by the exponential term.

Since the numbers 2 and 3 are on the denominator, they work on contrary, because when we divide by a higher number, we get a smaller result.

So, for x = 1, for example, since 3 > 2 and there are on the denominato, g(1) wil be less than f(1):

So, We start by noticing that 3 > 2, but since they are on the denominator, the conclusion is the other way around: graph f lies above the graph g, so graph f is the graph 1 and graph g is the graph 2.

The domain is:

The range is:

For the angle theta, the perpendicular side is 5 and hypotenuse side is 13.

Determine the measure of angle theta, by uisng trigonometry in triangle.

Thus, answer is 22.6 degree.

The triangle BDA is a right-angled triangle where [tex]\begin{gathered} To find the length of BD, Pythagorean theorem can be used to determine the unknown side,

Substituting for AB and AD into the theorem to find unknown BD,

Hence, length of BD is sqrt 10.

ANSWER:

D. 100

STEP-BY-STEP EXPLANATION:

We can calculate the internal angles since the sum of all of them are equal to 360°, and that the behaved angles are equal, therefore, we can establish the following equation:

We can calculate the value of z, with the help of the following rule:

Therefore, in this case:

The value of z is 100°

Statement Problem: Find the lateral surface area of the triangular prism unfolded into the net shown in the image.

Solution:

The lateral surface area of any solid is the product of the perimeter of its base and height.

In general, 23 more than a number is written as

In our case, x is 'twice a number'; thus,

Finally, the whole expression is

FIrst calculate the constant speed, as follow:

speed = distance/time = 204 mi/3.4 h = 60 mi/h

next, calculate the quotient in between 420 mi over 60 mi/h:

Concept

Substitute x = 5 in all the function, your answer will be the function whose f(5) = 38.

Option A

Substitute x = 5 in the option A

Option B

Option C

Final answer: Option C

Part A.

Given:

• 2.21 x 10⁻⁵ moles per liter.

Let's convert this number from scientific notation to standard notation.

To write in scientific notation, since the exponent is negative, move the decimal point 5 places to the left.

We have:

Therefore, the number in standard notation is 0.0000221 moles per liter

Part B.

Given the number:

9900

To write the number in scientific notation, move the decimal point from the right to left so there is only one non-zero number remaining on the left of the decimal.

The exponent of 10 will be the number of times the decimal was moved.

Since we moved left, the exponent will be positive.

We have:

ANSWER:

(a). 0.0000221 moles per liter

(b). 9.9 x 10³ pounds

Answer:

The equation of the line is;

Explanation:

Given the graph in the attached image.

We want to find the equation of the line;

The y-intercept of the line is at;

The slope m of the line is;

writing the equation of the line in slope-intercept form;

Therefore, the equation of the line is;