Find the measure of z.

regular pentagon


120°


144°


108°


135°

Answer:

c

Step-by-step explanation:

Answer:

Angle PQR = 120°

Step-by-step explanation:

Answer:

The correct option is d: All real numbers.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that we can input in that function.

A general way to find the domain of a function is:

First, assume that the domain is the set of all real numbers.

Then, look at restrictions implied:

like in functions like:

f(x) = 4   if x > 3

Here the domain of the function is implied.

Third, let's find values of x that make "problems" with our function (for example, a zero in the denominator) and then remove these points from the domain.

In this case, we have a quadratic function:

y = a*x^2 + b*x + c

Here we do not have any problem (like a zero in a denominator), and we do not have any restrictions (We only know that the parabola is U shaped, so it is a function, and that its vertex is (2, 3) )

Then we can conclude that the domain of this function is the set of all real numbers.

The correct option is d: All real numbers.

Answer: $8.45

Step-by-step explanation:

Answer: [tex]5.7\ cm[/tex]

Step-by-step explanation:

Given

Rectangle has an area of [tex]19.38\ cm^2[/tex]

Suppose rectangle length and width are [tex]l[/tex] and [tex]w[/tex]

If each side is increased by [tex]1.50\ cm[/tex]

Area becomes [tex]A_2=35.28\ cm^2[/tex]

We can write

[tex]\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)[/tex]

Substitute the value of width from (ii) in equation (i)

[tex]\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7[/tex]

Width corresponding to these lengths

[tex]w=5.7,\ 3.4[/tex]

Therfore, we can write the length of the longer side is [tex]5.7\ cm[/tex]

Answer:

The acceleration vector of the particle at time t=3 is (6,5).

Step-by-step explanation:

Acceleration:

The acceleration is the derivative of the velocity.

Derivative of a vector:

To derivate a vector, we derive each component.

v(t)=(t^2, 5t)

So

a(t) = v'(t) = (2t, 5).

What is the acceleration vector of the particle at time t=3?

a(3) = (2*3, 5) = (6,5)

The acceleration vector of the particle at time t=3 is (6,5).

Answer/Step-by-step explanation:

The figure given shows two triangles.: ∆ADB has two equal base angles while ∆BCD has three equal angles. Therefore, based on their angles, we can conclude that:

∆ADB is an isosceles triangle

∆BCD is an equilateral triangle

Before we add up he outside lengths of Quadrilateral ABCD to find the perimeter, let's recall three properties of each triangle:

Isosceles triangle:

-Has two equal base angles

-The two sides opposite the two equal base angles are also equal to each other

-the their side (base) is unequal to the other

Equilateral triangle:

-Has three equal angles

-Has three equal sides

-Each angle measures 60°

Using these properties, we can determine the outside lengths of quadrilateral ABCD:

AB = 21 (given)

AD = 17 (given)

AD = BD = 17 (equal sides of ∆ADB)

BD = 17

BD = BC = CD = 17 (properties of equilateral triangle)

BC = 17

CD = 17

✔️Perimeter of Quadrilateral ABCD = AB + BC + CD + AD = 21 + 17 + 17 + 17

Perimeter = 72 units

When fossil fuels are burned, they release nitrogen oxides into the atmosphere, which donate to the formation of smog and acid rain. Major sources of nitrogen oxide emissions include: Cars and trucks. Coal-fired power plants.

Step-by-step explanation:

Answer:

carbon dioxide

Step-by-step explanation:

took the test

Answer:

C. 3/14

Step-by-step explanation:

Note that in a proper fraction, (part/whole) is the rule you will typically follow.

You are trying to draw 1 blue marble from a bag of:

4 red marbles

6 green marbles

1 white marble

3 blue marbles.

Note that there are 14 marbles in all, in which 3 are blue:

3 blue marbles/14 marbles in all is your chance of obtaining a blue marble.

C. 3/14

~

Answer:

Step-by-step explanation:3/14

Answer:

$1346.40

Step-by-step explanation:

Find the volume of the pool first:

volume = cubiod + triangular prism

volume = (8*6*8) + (8*6*6)/2

volume = 528 cubic feet

price = price per cubic foot * cubic feet

price = $2.55 * 528 cubic feet

price = $1346.40

Answer:

It would be 24.4 pounds.

Step-by-step explanation:

First do: 13.4 / 100 = 0.134

Then, 182 * 0.134,

to get 24.4 pounds.

Answer:

30% of total students chose snowboarding as their favorite sport.

Step-by-step explanation:

We know that;

=> Total people = 500

=> Snowboarding people = 105

=> Percentage = unknown, so we can say it as x

So we can set up the equation;

x% · 500 = 105

[tex]\frac{x}{100}[/tex] · 500 = 105

x · 5 = 105

x = 105/5

x = 30

So 30% of total students chose snowboarding as their favorite sport.

Hope this helps!

Answer:

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately 0%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

If the daily returns on the stock market are normally distributed with a mean of .05% and a standard deviation of 1%

This means that [tex]\mu = 0.05, \sigma = 1[/tex]

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately

This is the p-value of Z when X = -23. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{-23 - 0.05}{1}[/tex]

[tex]Z = -23.05[/tex]

[tex]Z = -23.05[/tex] has a p-value of approximately 0. So

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately 0%.

Answer:

The length would be 25/5 which is 4.8

Answer:

l=8 or -3

Step-by-step explanation:

You can write this into an equation!

It will be l*(l-5)=24

Now, we can just solve.

We have to expand the equation and so on.

Answer:

angle B = angle C

Step-by-step explanation:

______________

Step-by-step explanation:

hdjsje dhd d sis s. sjxjdns

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{560}{1120}[/tex]

[tex]r=0.5[/tex]

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where a is the first term and r is the common ratio.

Putting [tex]a=1120, r=0.5[/tex], we get

[tex]a_n=1120(0.5)^{n-1}[/tex]

Therefore, the required formula for the given sequence is [tex]a_n=1120(0.5)^{n-1}[/tex].

We need to find the 10th term of the given sequence. So, substituting [tex]n=10[/tex] in the above formula.

[tex]a_{10}=1120(0.5)^{10-1}[/tex]

[tex]a_{10}=1120(0.5)^{9}[/tex]

[tex]a_{10}=1120(0.001953125)[/tex]

[tex]a_{10}=2.1875[/tex]

Therefore, the 10th term of the given sequence is 2.1875.

Answer:

12p -1

Step-by-step explanation:

(7p+3)+(5p-4)

Combine like terms

7p+5p +3-4

12p -1

Step-by-step explanation:

perimeter o rectangle is 16

Answer:

Step-by-step explanation:

perimeter of rectangle=2(l+b)

=2(8+4)

=2*12

=24 ft

Answer:

the surface area is 220

Step-by-step explanation:

:)

Answer:

9/4

Step-by-step explanation:

45/(y+7)+11

y=2

45/(2+7)+11

45/9+11

45/20

9/4

If this helps please mark as brainliest

Answer:

16

Step-by-step explanation:

45 ÷ (y + 7) + 11

45 ÷ (2 + 7) + 11

45 ÷ (9) + 11

5 + 11

16

Answer:

24

Step-by-step explanation:

18/ 3/4=24

Suppose Easton entered in * x * shows , So we have :

60/100 × x = 15

x = 1500/60

x = 150/6

x = 25

Thus he entered 25 shows last year.

Answer:

y = (x + 4)(x - 9)

Step-by-step explanation:

x = {-4, 9}

y = (x + 4)(x - 9)

Answer:

n=-17

Step-by-step explanation:

8(2n-5)=3(6n-2)

1) Distributive property

16x-40=18x-6

16x−40=18x−6

2) Subtract 16x16x from both sides.

-40=18x-6-16x

−40=18x−6−16x

3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.

-40=2x-6

−40=2x−6

4) Add 66 to both sides.

-40+6=2x

−40+6=2x

5) Simplify -40+6−40+6 to -34−34.

-34=2x

−34=2x

6) Divide both sides by 22.

-\frac{34}{2}=x

−

2

34

=x

7) Simplify \frac{34}{2}

2

34

to 17

−17=x

8) Switch sides.

x=−17

Answer:

15 belongs to the set of natural numbers , whole numbers , integers & rational numbers.

Step-by-step explanation:

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

N = Set of all natural numbers

W = Set of all whole numbers

Z = Set of all integers

Q = Set of all rational numbers

It can be said that :-

Hence , N ⊂ W ⊂ Z ⊂ Q

SOLUTION :-

Method 1 -

{15} ⊂ N (∵ 15 is an element of set N. {15} a singleton set & it can be called as the subset of N )

⇒ {15} ⊂ N ⊂ W ⊂ Z ⊂ Q

∴ 15 belongs to the set of natural numbers , whole numbers , integers & rational numbers too.

Method 2 -

Answer:

15 is the answer

Step-by-step explanation:

20×4=80

80-65=15

Answer:

The answer is 15

Step-by-step explanation:

(20×4)-65=15