A circle has a radius of 15 inches. What is the
circumference of the circle?

Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

The area of the rhombus with a base of 20 cm and a height of 19.2 cm is 384 cm².

The area of rhombus is simply the length of base multiply by perpendicular height.

Area = b × h

Given the data in the question;

To determine the area of the rhombus, plug the given values into the above formula.

Area = b × h

Area = 20cm × 19.2 cm

Area = 384 cm²

Therefore, the value of the area is 384 cm².

Option B) 384 cm² is the correct answer.

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Answer:

Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96  we conclude that  true average hourly wage of a server is not different than the claim of $12.

Step-by-step explanation:

The null and alternate hypotheses are

H0: u= 12 against the claim Ha: u≠ 12

Taking significance level alpha = 0.05

The critical region is z= ± 1.96 for two tailed test

The sample size = n= 30

The sample mean = 11

Sample standard deviation= 2.80

Applying z- test

Z= x-u/s/√n

z= 11-12/2.8/√30

z= -1/0.5112

z= -1.956

Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96  we conclude that  true average hourly wage of a server is not different than the claim of $12.

Answer:

Yes

Step-by-step explanation:

If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.

Answer:

I don't no ok ok ok ok ok ok ok ok ok

If principal is $2,658 and rate of interest 9% then the value of  the account balance is approximately $10,253 by using continuous compound interest formula.

Recurring interest is interest calculated on principal plus all interest and other interest. The idea is that lenders always receive interest, not individually at specific times.

The formula for continuous compound interest :

  A=    Peˣⁿ                          

Where,

A =Amount of money  after a certain amount of time

P= principal or the amount of money you start with

e =Napier's number, which is approximately 2.7183

x =Interest rate

n =Amount of time in years.

Use the continuous compound interest formula :

Given  P= 2658

x =9% =   = 0.09

n = 15

e = 2.7183

By using

A=    Peˣⁿ  

A= (2658)(2.7183)⁰°⁰⁹¹⁵

A =10,253 (approximately)

Hence, the value of account balance after 15 years is approximately $10,253

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Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

\(m\angle1=75^{\circ}\)

Step-by-step explanation:

Solution 1:

\(m\angle1\) is formed by a point that is on the circle. The angle encompasses an arc of \(150^{\circ}\) and thus the measure of the angle formed is \(\frac{150}{2}=\fbox{$75^{\circ}$}\).

Solution 2:

Since \(\angle 1\) is adjacent to a line and encompasses an arc, we can set up the following proportion:

\(\frac{150}{360}=\frac{m\angle 1}{180}\)

Solving, we get \(m\angle 1=\fbox{$75^{\circ}$}\).

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because the points are going up by 10 :)

The graphed line is y = 5x passing through points (0, 0) and (1, 5)

An equation is an expression that shows the relationship between variables and numbers.

The linear equation is in the form:

y = mx + b

where m is the rate of change and b is the y intercept.

The graphed line passes through (0, 0) and (1, 5), hence the equation is:

y - 0 = [(5-0)/(1 - 0)](x - 0)

y = 5x

The graphed line is y = 5x.

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Given that the received amount was $350 from a car wash, $337 from a bake sale, and $490 from a used equipment sale.

Also, the interest rate is 2.2 % and the time period is 3 years.

Thus, the total amount is as follows:

Next, the accumulated amount can be calculated as follows:

Further, solve the obtained result as follows:

Thus, the league will have $1256.40 in their account after 3 years.

Answer:

150\(\pi\)

Step-by-step explanation:

Use the formula \(\pi\)r^2h

The radius is 5 and the height is 6

so \(\pi\)(5)^2(6)

=150\(\pi\)

Answer:35

Step-by-step explanation:

\(\dfrac{2 \tfrac 12 }{\tfrac 52}\\\\\\\\= \dfrac{\left(\tfrac 5 2\right)}{\left(\tfrac 52 \right) }\\\\\\\\=1\)

Answer: To find the derivative of the function h(x), we can use the quotient rule, which states that if f(x) = u(x) / v(x), then f'(x) = [v(x)u'(x) - u(x)v'(x)] / [v(x)]^2.

Using this rule, we can find the derivative of h(x) as follows:

h(x) = (x + 2) / (x - 2)

h'(x) = [(x - 2)(1) - (x + 2)(1)] / (x - 2)^2 // apply the quotient rule and differentiate numerator and denominator

h'(x) = (-2 - 2x) / (x - 2)^2

Therefore, the derivative of h(x) is h'(x) = (-2 - 2x) / (x - 2)^2.

Step-by-step explanation:

The number of points to be removed from the graph is 2

from the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we can see that

2 points have the same y coordinates

Another 2 points have the same y coordinates

For it to be a function, one of the 2 points must be removed each

So, we have the number of points to be removed from the graph is 2

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Answer:

3/5 , 7/2 , 3 1/2

Step-by-step explanation:

Two Plus One - Third

2 + \(\frac{1}{3}\)

Make Both Fractions-

\(\frac{2}{1}\) + \(\frac{1}{3}\)

Make Same Denominator ( Bottom # Of Fraction )-

\(\frac{2}{1}\) * \(\frac{3}{3}\) = \(\frac{6}{3}\)

New Equation-

\(\frac{6}{3}\) + \(\frac{1}{3}\)= \(\frac{7}{3}\)

Seven - Thirds Divided By Two-Thirds.

\(\frac{7}{3} / \frac{2}{3}\)

Divide In Parts-

7 / 2 = 3.5

The equation of the line in the standard form exists 3x - y = 2.

The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.

Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.

The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.

We are asked to graph a line with a slope = -3, passing through the point (1, -5).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

Let the equation be y - -5 = -3(x - 1)

simplifying the equation, we get

y = -3x + 3 - 5

y = -3x - 2

3x - y = 2

The equation of the line in the slope-intercept form exists y = -3x - 2

The equation of the line in the standard form exists 3x - y = 2.

We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.

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Answer:

Parallelogram

Step-by-step explanation:

Parallelograms have 2 sets of parallel sides, hence the name.

Answer:

Some companies promise higher interest rates in order to attract the attention of investors.

Step-by-step explanation:

The correct option is (d) : Some companies promise higher interest rates in order to attract the attention of investors.

Bonds are investment securities where an investor lends money to a company or a government for a set period of time, in exchange for regular interest payments.

Once the bond reaches maturity, the bond issuer returns the investor’s money.

Interest rate risk is the overall change in interest rate which reduce the value of a bond.

As interest rates rise, bond prices fall, and vice versa.

Interest rate risk is measured by an incomes' security in a long term goal.

Interest rate risk can be reduced through the bond maturities or hedged using interest rate derivatives.

So,  some companies promise higher interest rates in order to attract the attention of investors.

Hence, some companies promise higher interest rates in order to attract the attention of investors. The option (d) is correct.

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Answer:

the answer would be 27.6.

Step-by-step explanation:

sorry for the horrible handwriting, hopefully u can understand this!!

The first step is to find the slope

m= (y2-y1)/(x2-x1)

Notice the negative negative which is a positive

=( 13/14 - 31/16)/ (5/7 - 5/8)

m = -113/10

2nd problem

y = x^2 y = 18x - x^2

Set them equal

x^2 = 18x-x^2

Add x^2 to each side

2x^2 = 18x

Subtract 18x

2x^2 -18x = 0

Factor out 2x

2x( x-9) =0

Using the zero product property

2x=0 x-9 =0

x=0 x=9

When x = 0 y=0

When x = 9 y = 9^2 = 81

We have 2 points so we can make a line

(0,0) and ( 9,81)

m = ( 81-0)/(9-0) = 9

Y intercept is 0

y = mx+b

y = 9x +0

y = 9x

Answer:

D

Step-by-step explanation:

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Answer:

  d. √74 units

Step-by-step explanation:

The distance formula is useful for finding the length of a line segment.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Filling in the point coordinates L(-5, -3) and M(0, 4), we find the length of LM to be ...

  LM = √((0-(-5))^2 +(4 -(-3))^2) = √(25 +49)

  LM = √74 . . . units

Answer:

15f+5g+45

Step-by-step explanation:

To do this, we have to distribute 5 to each of the terms in the parentheses:

5(3f+g+9)

5(3f)+5(g)+5(9)

15f+5g+45

Answer:

15,200

Step-by-step explanation:

Answer:

15,200

Step-by-step explanation:

208 is much closer to 200 than 300. it says hundred so look a the hundreds place (208) and round. 250 and up = next hundred number 249 and down = same hundred number

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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