The following are scores for students in Ms. Kennedy's math class.What is the range of the scores?
451
560
600
422
603
514
A 109
B 149
C 178
D181

Answers

Answer 1

Answer:

The answer will be D. 181

Step-by-step explanation:

603 - 422 = 181

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Related Questions

A condominium is taxed based on its $78,584 value. The tax rate is $3.49 for every $100 of value. If the tax is paid before March 1, 4%
of the normal tax is given as a discount. How much tax is paid if the condominium owner takes advantage of the discount?

Answers

The tax paid by the condominium owner  is $2,632.88.

What is the tax paid?

Tax is a compulsory levy that is paid to the government. The type of tax that is paid by the condominium owner is known as property tax.

Tax paid = (78,584 / 100) x $3.49 x (1 - 0.04) = $2,632.88.

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The temperature is dropping at a rate of five degrees per hour.
Let d represent the number of degrees the temperature drops.
Let t represent the number of hours that pass.
Which is the dependent variable?
Othe number of hours
Othe number of degrees the temperature drops
O the rate at which the temperature drops
the day of the week

Answers

Answer:

The rate at which the temperature drops.

Step-by-step explanation:

In science, the dependent variable is what you are measuring.
In math, the dependent variable is what you are evaluating.

Same idea, different topic.

Answer:

d=temp drop

t=hours

dependent variable is the temperature drops because the number of hours will tell you how much the temprature drops

this is the equation

total temp drops=t x 5

hope this helps!?

What's the circumference of a
circle with a radius of 7 feet?
Use 3.14 for .
C = [?] feet
Enter the number that belongs in the green
box. Do not round your answer.
Hint: C = 2πr

Answers

Answer:

43.96ft

Step-by-step explanation:

In the hint, you are given the equation [tex]C = 2\pi r[/tex].

Here, [tex]C[/tex] is the circumference, [tex]r[/tex] is the radius, and [tex]\pi[/tex] is a constant (a value that doesn't change). In this question, you are told to assume the value of [tex]\pi[/tex] is 3.14.

You are told the radius is 7, therefore, [tex]r[/tex] = 7.

Now we have these values, let's substitute them into the equation:

[tex]C = 2 * 3.14 *7[/tex]

For clarification, the stars mean multiplication.

So, the product of those values will give us our circumference, [tex]C[/tex].

In this case, you get an answer of 43.96ft.

given the formula p=k*2 w, find the value of p if k= 5 and w= - 3

Answers

P=-75 step-by-step solved it

How is the two point formula used to find the equation of a line when 2 points are known? a. taking the change in y over the change in x c. dividing the first y by the first x b. taking the change in x over the change in y d. dividing the first x by the first y Please select the best answer from the choices provided A B C D

Answers

Taking the change in y over the change in x. Then the correct option is A.

What is the equation of a line passing through two points?

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]

The equation of the line can be determined by the two known points.

Taking the change in y over the change in x.

Then the correct option is A.

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a rhombus has perimeter 120 M and one of its diagonal is 50 M find the area of the Rhombus

Answers

The area of the rhombus is 829.1562m².

What is the area of the rhombus?

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  [tex]\frac{1}{4}d[/tex] ×√(p² - 4d²)

where p is the perimeter and d is the diagonal

1/4(50) x √(120² - 4 x 50²) =829.1562m²

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my sis needs help asap SHOW WORK! :)

Answers

Step-by-step explanation:

el resultado le puedo ayudar si sabe Spanish

Answer:

see below

Step-by-step explanation:

White = 1 1/3   = 4/3 =  16/12

Color =   3/4 = 9/12  

white - color ==   16/12 - 9/12 = (16-9) / 12 = 7/12 of a scoop more for the white load

enita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita’s error?
a. She incorrectly determined the GCF.
b. She subtracted the GCF from the second term in the expression instead of dividing.
c. She divided the GCF into the first term in the expression instead of subtracting.
d. She divided each piece of the expression by different factors.

Answers

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

Greatest common factor

Given the following expression

32ab - 8

Find the factors of each terms

32ab = 8 * 4. * a * b

8 = 8 * 1

Since 8 is common to both factors, hence

32ab - 8 = 8(4ab -1)

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

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Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase. Which store offered the better discount, and how much is the difference?

Answers

The better option will be at DiscountsRUs 40% off on any purchase.

What is the discount?

The amount of money which is reduced on any product below its actual selling price is called the discount.

here we have two offers from the two stores Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase.

For a Dominic, the discount is fixed for any purchase that is if you purchase a $50 product or a $1000 product you will be getting only a $15 discount.

Now for the second store, the discount is given as 40% so if you purchase $50 your discount will be $20. If you purchase $1000 so 40% discount will be $400.

Therefore better option will be at DiscountsRUs 40% off on any purchase.

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The linear function that is represented by which table has the same slope as the graph? On a coordinate plane, a line goes through points (0, negative 3) and (2, 1). a A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1. b A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1. c A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9. d A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.

Answers

Option C. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9.  This labeled is correct.

According to the linear function,
Every linear function is characterized by a constant rate of change; the slope. The slope of a linear function is a measure of the “steepness” of the line. We use the symbols Δx and Δy which mean respectively the “change in x ” and the “change in y ”.

So Option C is correct after all assumptions.

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PLEASEEEE PLEASEEEEEEEEE HELPPPPPPPPPP
how do i solve this equation?

Answers

Answer:

360

Step-by-step explanation:

using the definition

n [tex]P_{r}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]

where n! = n(n - 1)(n - 2)..... × 3 × 2 × 1

then

6[tex]P_{4}[/tex]

= [tex]\frac{6!}{(6-4)!}[/tex]

= [tex]\frac{6!}{2!}[/tex]

= [tex]\frac{6(5)(4)(3(2)(1)}{2(1)}[/tex] ← cancel 2(1) on numerator / denominator

=  6 × 5 × 4 × 3

= 360

Problem 5. Utility Bills The monthly utility bills in a city are normally distributed and
represented by the variable X, with a mean of $100 and a standard deviation of $12. Find the
probability that a randomly selected utility bill is
(a) less than $70,
(b) between $90 and $120,
(c) more than $140.
(2 points)
(2 points)
(2 points)
Hint: Convert the normal distribution X to Standard normal using Z formula Z =
and then look the Z-values from the table and then find the probability.
X-μ
6

Answers

The probabilities in the question are

0.00620.74990.000429

How to solve for the probabilities

a. For  x < 70

we have

z< 70 - 100/12

= z < -30/12

= -2.5

Such that p (x<70) = 0.0062

Hence the probability that is is less than $70 = 0.0062

b.  between $90 and $120,

90 - 100/12. 120 - 100/12

= -0.8333 <z< 1.67

p(90<x<120) = 0.95224 - 0.20234

= 0.7499

0.7499 is the probability of  between $90 and $120.

c. more than $140

140-100/12

= P(Z>3.3333)

= 0.000429

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Simplify 1-4 can you show how you got the answer on a sheet of paper.

Answers

Answer:

to solve fractions such as

1 1/3

first multiple the denominator with the whole no.

and then add with the numerator

here 3 * 1 + 1 /3

= 4/3

1 2/3

= 3*1 + 2 /3

5/3

PLEASE HELP! SHOW WORK AND/OR EXPLANATION PLEASE.
Find ‘x’ that will make the following statements true.

1. Sin (35) = Cos (x)
2. Cos (79) = Sin (x)
3. Cos (x) = Sin (2x)
4. Sin (x + 4) = Cos (4x – 9)

Answers

Answer:

1.  x = 55°

2.  x = 11°

3.  x = 30°

4.  x = 19°

Step-by-step explanation:

Trigonometric Identities

[tex]\sin(x)=\cos(90^{\circ}-x)[/tex]

[tex]\cos(x)=\sin(90^{\circ}-x)[/tex]

Question 1

[tex]\begin{aligned}\implies \sin(35) & =\cos(90-35)\\ & = \cos(55)\end{aligned}[/tex]

[tex]\implies x=55^{\circ}[/tex]

Question 2

[tex]\begin{aligned}\implies \cos(79) & =\sin(90-79)\\ & = \sin(11)\end{aligned}[/tex]

[tex]\implies x=11^{\circ}[/tex]

Question 3

[tex]\begin{aligned}\cos(x)& =\sin(2x)\\\implies \cos(x)& =\sin(90^{\circ}-x)\\\\\implies 2x & = 90-x\\3x & = 90\\x & = 30^{\circ}\end{aligned}[/tex]

Question 4

[tex]\begin{aligned}\sin(x+4)& =\cos(4x-9)\\\implies \sin(\theta)& =\cos(90^{\circ}-\theta)\\\\\implies x+4 & = 90-(4x-9)\\x+4 & = 90-4x+9\\5x & = 95\\x & = 19^{\circ}\end{aligned}[/tex]

which matrix equation represents the system of equations

Answers

Should be the second option

Answer:

option B is correct

To write any equations in the form of matrix

first make a matrix of all coefficients of that equations.. here coefficients of first equation is 4 and - 2 and that of second is 0 ( as there is no value of X) and 3

then make second matrix of X and y

last of answer of the equations, here (-7 ) and 5

I opened a grocery account at my bank with $100. Every week thereafter, I withdraw $45 from the account to pay for groceries. If x is the number of weeks I've had the account, then y is the amount in the account. Find an equation of a line in the form y = mx + b that describes my grocery account balance.

Answers

Answer:

y=-45x + 100

Step-by-step explanation:

The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept or in other words the initial amount (when x is 0). Since you start off with 100 dollars the y-intercept is going to be 100 since after 0 weeks (when you opened the account) you put 100 dollars in... so you should have 100 dollars. The slope is going to be -45 since you are withdrawing 45 each week so the value is going to be decreasing by 45 every week. If you put that together you get y=-45x+100

someone help solve asap for points

Answers

Answer:

[tex]\textsf {p(-4) = -134}[/tex]

Step-by-step explanation:

[tex]\textsf {Given :}\\[/tex]

[tex]\mathsf {p(x) = x^{3} - 3x^{2} + 7x + 6}[/tex]

[tex]\textsf {Substitute x = -4 to find p(-4) :}[/tex]

[tex]\mathsf {p(-4) = (-4)^{3} - 3(-4)^{2} + 7(-4) + 6}[/tex]

[tex]\mathsf {p(-4) = -64 - 48 - 28 + 6}[/tex]

[tex]\textsf {p(-4) = 6 - 140}[/tex]

[tex]\textsf {p(-4) = -134}[/tex]

A restaurant offers 7 appetizers and 8 main courses. In how many ways can a person order a two-course meal?
There are ways a person can order a two-course meal.

Answers

Answer:

56

Step-by-step explanation:

so 7 appetizers times 8 main courses

I do a easy trick where I multiple so

7×8=56

9)Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The
other end of the leash is tied to the top of an 8-foot pole. How far can Rover roam from the
pole?

Answers

The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

What is the Pythagoras theorem?

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.

After drawing a right-angle triangle from the above information.

Applying Pythagoras' theorem:

60² = 6² + x²

After solving:

x = 59.69 ≈ 59.7 foot

Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

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A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval


The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.

Answers

The exponential function decays at three-fourths the rate of the quadratic function.

The given inequality is -2≤x≤0.

We need to determine how do the decay rates of the functions compare over the interval.

What is the quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.

We calculate the average slope of each graph in the indicated interval, the slope can be calculated as [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Now, for the exponential function:

[tex]m_{c} =\frac{4-1}{-2-0} =\frac{3}{-2}[/tex]

For the quadratic function:

[tex]m_{q} =\frac{4-0}{-2-0} =\frac{4}{-2}=-2[/tex]

Now, the ratio of both average slopes is[tex]\frac{m_{c} }{m_{q}} =\frac{\frac{3}{-2} }{-2} =\frac{3}{4}[/tex].

Therefore, the exponential function decays at three-fourths the rate of the quadratic function.

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Identify the value of the variable in the equivalent expressions.


What is the value of n in the simplified expression?
(4k7)3= 4n ·(k7) 3= 64k21

n =

What is the value of m in the simplified expression?
(Negative 3 r Superscript negative 4 Baseline) Superscript negative 4 Baseline = (negative 3) Superscript negative 4 Baseline times (r Superscript negative 4 Baseline) Superscript negative 4 Baseline = StartFraction 1 Over 81 EndFraction r Superscript m
m =

Answers

The value of expression is n=3 and r= 16

What is expression?

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

[tex](4k^{7})^{3} = 4^{n}* (k^{7})^{3} = 64 k^{21}[/tex]

[tex](64 k^{21}) = 4^{n}* k^{21} = 64 k^{21}[/tex]

[tex]4 ^{3} * k^{21}= 4^{n}* k^{21}[/tex]

On comparing

n=3

Now,

[tex](-3r^{-4})^{-4} = (-3)^{-4} * (r^{-4})^{-4} = 1/81* r^{m}[/tex]

[tex](-3)^{-4} * (r^{-4})^{-4} = 1/81* r^{m}\\1/ (-3)^{4} * 1/(r^{-4})^{4} = 1/81* r^{m}\\1/ (-3)^{4} * (r^{16}) = 1/81* r^{m}[/tex]

1/81 * r^16 = 1/81 * r^{m}

On compairing

r = 16.

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Answer:

answer in picture

Step-by-step explanation:

Find f(x) and g(x) so that the
function given can be described
as y = f(g(x)).

y = e^sin x

Answers

Answer:

g(x) = sin(x)

f(x) = e^x

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=e^x\\g(x)=sin~x\\y=f(g(x))=f(sin~x)=e^{sin~x}[/tex]

Which expression is equivalent to the given expression? 4lh x + lh 3 - lh x

Answers

OH MY GOD BABY JUST LIKE THAT AHHH YESS

Line m passes through the points (-4,3) and (-4,7). What is the slope of the line that is parallel to line m?

Answers

Answer:

undefined

Step-by-step explanation:

Since line m passes through two points that have the same x-value but different y values, line m is horizontal to the y-axis which has an undefined slope.

In which expression would you complete the operation first and then find the absolute value of the sum?

a |11/8+2/3|
b|-17.3| - |9.05|
c|-35| - |22|
d|-18.531| + |19.2894|​

Answers

A. |11/8+2/3| (this is because the rest of the answers are either adding or subtracting two different absolute values)

Question 6 of 15
Gloria invested $1200 in an account that earns 2.5% interest, compounded
annually. The formula for compound interest is A(t) = P(1 + i)t. How
much did Gloria have in the account after 5 years?
O A. $3662.11
OB. $6150.00
OC. $1470.00
OD. $1357.69

Answers

Answer:

D

Step-by-step explanation:

[tex]1200( {1.025}^{5} ) = 1357.69[/tex]

Find a solution to dA/dt=-6A if A(0)=6. A(t)=

Answers

This equation is separable,

[tex]\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt[/tex]

Integrate both sides and solve for [tex]A[/tex] :

[tex]\displaystyle \int \frac{dA}A = -6 \int dt[/tex]

[tex]\ln|A| = -6t + C[/tex]

[tex]e^{\ln|A|} + e^{-6t+C}[/tex]

[tex]\implies A(t) = Ce^{-6t}[/tex]

Solve for [tex]C[/tex] using the initial value.

[tex]A(0) = 6 \implies 6 = Ce^0 \implies C=6[/tex]

Then the particular solution is

[tex]\boxed{A(t) = 6e^{-6t}}[/tex]

a. d(7) 6
b. Interpret the meaning of d(7):
OA. In the first 6 seconds, the particle moved a total of 7 feet.
B. The particle was 7 feet away from the starting line 6 seconds since timing started.
OC. The particle was 6 feet away from the starting line 7 seconds since timing started.
D. In the first 7 seconds, the particle moved a total of 6 feet.
c. Solve d(t) = 2 for t. Use commas to separate your answers if there are more than one solution. t =
d. Interpret the meaning of part c's solution(s):
OA. The article was 2 feet from the starting line 9 seconds since timing started.
OB. The article was 2 feet from the starting line 1 seconds since timing started.
C. The article was 2 feet from the starting line 1 seconds since timing started, or 9 seconds since timing started.
D. The article was 2 feet from the starting line 1 seconds since timing started, and again 9 seconds since timing started.
dit on this problem.

Answers

Answer:

Step-by-step explanation:

what is the value of n in the equation -1/2(2n +4) + 6 = -9 + 4 (2n +1)

Answers

Answer:

n=1

Step-by-step explanation:

-n+4=8n-5

9=9n

n=1

hope that helps

How do I graph y−3=1/2(x+3) on this graph? :c

Answers

From point (0, 9/2) and (-9, 0) we get a straight line.

What is Straight line?

A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.

Here, given equation:

    (y − 3) = 1/2(x + 3)

at x = 0,

    y - 3 = 1/2 (0 + 3)

    y - 3 = 1/2 X 3

     y = 3/2 + 3

    y = 9/2

at y = 0,

   0 - 3 = 1/2 (x + 3)

    -3 = 1/2 (x + 3)

    -6 = x + 3

    x = -6 - 3

   x = -9

Thus, from point (0, 9/2) and (-9, 0) we get a straight line.

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