A gym membership has an application fee of $5 plus $20 per month. Which function represents the cost of a gym membership, where x is the number of months? Question 15 options: A) f(x) = 5(20)x B) f(x) = 5x + 20 C) f(x) = 5x2 + 20 D) f(x) = 20x + 5

Answer:

180

Step-by-step explanation:

At the beggining, it says they are stacked in 5 layers which means the number of cubes is divisible by 5.

If the number of cubes equals x:

The least amount of sugar cubes the Jones family could have used is [tex]61*2[/tex] which equals 122. The most they couldve used is [tex]61*3[/tex] which equals 183.

Based on the information from the Jones family, x is between 122 and 183.

Based on the information from the Connor's, x is between 176 and 264.

Based on the information from both, x is between 176 and 183. The only number that is divisible by 5 between those numbers is 180 cubes.

Answer:

24

Step-by-step explanation:

Here we will use Thales theorem : X is the missing side

Answer:

x = -5/7, 2

Step-by-step explanation:

Step 1: Factor

(5x + 7)(x - 2) = 0

Step 2: Find x roots

5x + 7 = 0

5x = -7

x = -5/7

x - 2 = 0

x = 2

Answer:

Step-by-step explanation:

To find the relationship between the given lines, we have to find the slope of both lines using slope formula, which is

So for AB, we will get

And for CD , we will get

Since the slopes of the two lines are equal , and when slopes are equal , lines are parallel .

Answer:

D

Step-by-step explanation:

In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.

Answer:

  PR, PW, RW

Step-by-step explanation:

The sides of a triangle are named by naming the vertices at either end.

Triangle PWR has vertices P, W, R. The sides connecting these are named ...

   PW, WR, RP

Any name can have the letters reversed. That is, PR names the same segment that RP does.

Answer: 8.6602540378

Step-by-step explanation:

Based on pythagorean’s theorem we have:

[tex]\sqrt{14^{2}-11^{2} } =\sqrt{75}=8.66025[/tex]

Answer:

This is an arithmetic fraction written under the line that indicates the equal part, the divisor.

Step-by-step explanation:

Answer:denominator is the lower part of a fraction.

Step-by-step explanation:

Feel pleasure to help u...

Answer:

If the value of n gests smaller then the distribution of X would be more skewed, that's a property of the binomial distribution

Step-by-step explanation:

For this problem we are assumeing that the random variable X is :

[tex] X \sim Bin(n,p)[/tex]

If the value of n gests smaller then the distribution of X would be more skewed, that's a property of the binomial distribution and if we don't satisfy this two conditions:

[tex] n p>10[/tex]

[tex]n(1-p) >10[/tex]

Then we can't use the normal approximation

Answer:

Step-by-step explanation:

The Area of a triangle is expressed  as 1/2 * base * height. If uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimetres and a height of 7 centimetres, area of the blanket will be expressed as shown;

Area of the blanget = 1/2 * 7 * 5

Area of a blanket = 35/2 = 17.5cm²

If she plans to cut out 68 triangles with these dimensions, the total area will be total number of triangles * area of one triangle i.e 68 * 17.5 = 1,190cm²

Answer:

BD = 8.5 units

Step-by-step explanation:

From the figure attached,

ΔABC and ΔADB are the right triangles.

By applying mean proportional theorem,

[tex]\frac{\text{AD}}{\text{BD}}=\frac{\text{BD}}{\text{CD}}[/tex]

BD² = AD × CD

BD² = 6 × 12

BD = √72

BD = 6√2

     = 8.485

BD ≈ 8.5 units

Therefore, measure of segment BD will be 8.5 units.

Answer:

I guess that the area we care about is the yellow area, delimited by the functions.

f(x) = 8*(x)^(1/4)

and the line with the slope s= 8/1 = 8 (as the line goes through the points (0,0) and (1, 8)).

g(x) = 8*x

then we want tofind the area between x = 0 and x = 1, of f(x) - g(x)

then we have:

[tex]I = \int\limits^1_0 {f(x)} \, dx = \int\limits^1_0 {8*\sqrt[4]{x} )} \, dx = (8*(4/5)*\sqrt[4]{1^5} - 8*(4/5)*\sqrt[4]{0^5}) = 6.4[/tex]

now, for the area under the g(x) we have:

[tex]I2 = \int\limits^1_0 {g(x)} \, dx = \int\limits^1_0 {8x} \, dx = (8/2)*1^2 - (8/2)*0^2 = 4.[/tex]

then I - I2 = 6.4 - 4 = 2.4

The yellow area is 2.4

And then, if we rotate this about the line AB, the volume will be:

B = 2*pi*2.4 = 2*3.14*2.4 = 15.075

The figure will be something like a half spheroid, with a hole in the shape of a cone inside of it.

Answer:

C. The term average is not used in statistics. The term "mean" should be used for the result obtained by adding all of the sample values and dividing by the total number of sample values.

Step-by-step explanation:

In colloquial language, the average is the result obtained when we add all the sample values and divide by the total number of sample values.

However, in statistics, the term which is used to represent this calculation is the "mean" of the sample data. The term average is not used.

The correct option is C.

Answer:

Complementary angles are angles that add up to 90°

To find the complementary angle for an angle of 70° subtract it from 90°

That's

90° - 70° = 20

Hope this helps

Answer:

20

Step-by-step explanation:

Complementary angles add to 90 degrees

70 +x = 90

Subtract 70 from each side

70+x-70 = 90-70

x = 20

The complement is 20

Answer:

An expression f(x) is undefined when we have a zero in the denominator,

if our expression is

f(x) = 1/(x +7)

then the denominator is x + 7, and this is only zero when x = -7.

Then, we have that our expression is defined for all the real values except x = -7

we can write this set as:

D = {x ∈ R ∧ x ≠ -7}

(which says "x is a real number and x is different than negative seven")

Answer:

a. Linear

Step-by-step explanation:

The difference is equal between y- values (0.480)

So it is linear change and linear function

Answer:

Linear

Step-by-step explanation:

The hypothese is the function is linear. Lets prove it .

If we divide the difference of 2 any function's values by the difference of the corresponding argument's values we will get the same ratio 0.48(for instance 19.210-18.250=0.96 delete be 2-0=2 will get 0.48)  .

Lets  calculate any other pair of y (function) and x ( argument) :

(20.170-18.730)/(4-1)=1.44/3=48 as we can see we'll get the same ratio 0.48.

That means that function is linear

Answer: 108 inches

Step-by-step explanation: The answer would be 108 inches because if you multiply the number that coverts a inch into a foot it would be 12 because 12 inches is equivalent to 1 foot. So you know that 1 foot is equal to 12 inches so you multiply the number of feet by 12. You expression is 9 times 12 and after you multiply the two numbers you get 108 inches.

Answer: 108 inches

Step-by-step explanation: To convert 9 feet into inches, we use the conversion factor for feet and inches which is 12 inches = 1 foot.

Next, notice that we're going from a

larger unit, feet, to a smaller unit, inches.

When we go from a larger unit to a smaller unit, we

multiply 9 by the conversion factor, 12 to get 108.

So 9 feet = 108 inches.

Answer:

(115.2642, 222.7358).

Step-by-step explanation:

Given data:

type A: n_1=60, xbar_1=1827, s_1=168

type B: n_2=180, xbar_2=1658, s_2=225

n_1 = sample size 1, n_2= sample size 2

xbar_1, xbar_2 are mean life of sample 1 and 2 respectively. Similarly, s_1 and s_2 are standard deviation of 1,2.

a=0.05, |Z(0.025)|=1.96 (from the  standard normal table)

So 95% CI is

(xbar_1 -xbar_2) ± Z×√[s1^2/n1 + s2^2/n2]

=(1827-1658) ± 1.96×sqrt(168^2/60 + 225^2/180)

= (115.2642, 222.7358).

Answer:

- 220° and 500°

Step-by-step explanation:

To find the coterminal angles add / subtract 360°, that is

140° - 360° = - 220°

140° + 360° = 500°

Answer:

- 220° and 500°

Step-by-step explanation:

The program goes through the following steps when the input is 13

step 1) check to see if the age is less than 2. It is not, so we move on

step 2) check to see if the age is 2 to less than 12. It is not, so we move on

step 3) check to see if the age is 12 to less than 22. We are in the right range, so we execute the print statement "student admission is $8"

After this the program is done. It doesn't check to see if the age is greater than 22 (that only would apply if the other if statements were false).

So we have four steps. The first three are checking those "if" statements mentioned. The fourth statement is executing the print output to show the price.

Answer:

It would take 3 steps before executing

Step-by-step explanation:

An event that is impossible has a probability of 0

An event that is certain to happen has a probability of 1

The probability scales from 0 to 1, referring from no chance to will happen.

Answer:

67 inches

Step-by-step explanation:

Let's call the height of Louise 'L', the height of Miriam 'M' and the height of Jeffery 'J'.

Then, we can write the following equations and inequations:

[tex]L \leq M - 1[/tex]

[tex]L \geq J + 2[/tex]

[tex]J = 64[/tex]

[tex]M \leq J + 5[/tex]

Substituting J in the second and four inequations, we have:

[tex]L \geq 66[/tex]

[tex]M \leq 69[/tex]

If we assume the maximum value for M, in the first inequation we have that:

[tex]L \leq 68[/tex]

So the height of Uncle Louise is greater than or equal 66, and lesser than or equal 68, so his height could be 67 inches for example.

Answer:

  87

Step-by-step explanation:

Such "find a pattern" problems can always be answered a number of ways.

Here, the alternating pattern (6, 12, 6, 12, ...) of first differences doesn't seem to hold. However, the first differences of alternate terms does seem to be constant: 33, 51, 69 all have a common difference of 18.

The next term in that sequence is 69+18 = 87.

___

The other terms seem to have increasing differences:

  57 -39 = 18

  84 -57 = 27

If that pattern continues, then the second missing term will be 84 +36 = 120.

___

So, one way to extend the sequence is ...

  33, 39, 51, 57, 69, 84, 87, 120, 105, 165, ...

The rule is that the sequence alternates a linear sequence and a quadratic one.

Answer:

all real numbers

Step-by-step explanation:

Answer:

C. All real numbers

Step-by-step explanation:

x goes forever in both the positive and negative directions, so the domain is all real numbers.

Answer:

WZ ≈ 16.4 cm

Step-by-step explanation:

Step 1: Find length XZ

tan40° = XZ/15

15tan40° = XZ

XZ = 12.5865

Step 2: Find WZ

sin50° = 12.5865/WZ

WZsin50° = 12.5865

WZ = 12.5865/sin50°

WZ = 16.4305

WZ ≈ 16.4 cm

Answer:

(a) 780 students and 960 non-students  

(b) No. The maximum revenue is RM9000 from 1200 non-students.

(c). Revenue is maximum of RM9000 at 1200 non-students, decreasing by RM2.50 per student to a minimum of RM6000 at 1200 students

Step-by-step explanation:

 Let x = IIUM students and

and  y = non-IIUM students

You have two conditions

(a)          x +         y = total vehicles parked

(b) 5.00x + 7.50y = total gross receipts

(a) Wednesday

From your table,  

       x +          y = 1740

5.00x + 7.70y = RM11 100  

Solve the simultaneous equations

[tex]\begin{array}{rrcrl}(1) & x + y & = &1740&\\(2) & 5.00x + 7.50y & = & 11 100\\(3)& 5.00x + 5.00y & = & 8700 & \text{Multiplied (1) by 5}\\&2.50 y & = &2400 &\text{Subtracted (3) from (2)}\\(4)&y& = &\mathbf{960} &\text{Divided each side by 2.50}\\& x +960& = &1740& \text{Substituted (4) into (1)}\\& x& = &\mathbf{780}& \\\end{array}\\\text{There are $\large \boxed{\textbf{780 students and 960 non-students}}$}[/tex]

(b) Can 1200 vehicles bring in RM10000?

No. Even if all the cars were from non-students, the most you could get is  

1200 × 7.50 = RM9000

(c) Possible combinations for 1200 vehicles  

Revenue = 5.00x + 7.50y = 5.00x + 7.50(1200 -x) = 5.00x + 9000 - 7.50x =  

Revenue = 9000 - 2.50x

The maximum revenue of RM9000 occurs when there are no student cars and 1200 non-student cars.

For each student car that enters and displaces a non-student, the revenue drops by RM2.50.

Finally. when there are 1200 student cars and no non-students, the revenue has dropped to a minimum of RM6000.  

Answer:

Sin(u-v)= (-119/169)

Step-by-step explanation:

Sin(a-b)= Sinacosb-cosasinb

Sin(u-v)= sinucosv-cosusinv

Sinu= 5/13

U = sin^-1(5/13)

U= 22.62

Sinv= 12/13

V= sin^-1(12/13)

V= 67.38

Fr right angle triangle

If sin u = 5/13

Cos u = 12/13

If sin v = 12/13

Cos v= 5/13

Sin(u-v)= sinucosv-cosusinv

Sin(u-v)=(5/13)*(5/13) -(12/13)*(12/13)

Sin(u-v)= 25/169 - 144/169

Sin(u-v) = (25-144)/169

Sin(u-v)= (-119/169)

Answer:

y - 3 = (1/2)(x - 1)

Step-by-step explanation:

As we go from (1, 3) to (5, 1), we see that x (the run) increases by 4 and y (the rise) decreases by 2.  Hence, the slope is m = rise / run = 2/4, or m = 1/2.

Then the desired point slope equation is  y - 3 = (1/2)(x - 1).

Answer:

Step-by-step explanation:

percentage is per 100.

If we have to find x as percentage of y then

formula for percentage is given by = x/y*100

_______________________________________________

Given

total no. of shares = 50,000

Share bought by investor = 1,000

Percentage of share bought by investor

= Share bought by investor/total no. of shares *100

= (1000/50000)*100 = 2%.

It means that if  there are 100 shares for company then investor owns 2 shares of the company. This makes the qualitative analysis easy.

2% percent of the company does the investor own.

Answer:

b: 4

Step-by-step explanation:

i took the test on edge 2020

The gallons of gasoline the car has left after it has traveled 330 miles is 4 gallons so option (B) will be correct.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given the table of the number of miles and gallons.

If we take two points of the number of miles and gallons.

Then,

1 st point = ( 0 ,15 )

2 nd point = ( 90 , 12)

Now since the relation is linear which can be seen by data.

So,

Linear equation joining points 1st and 2nd is

y - 15 = [(12-15)/(90-0)](x - 0)

y - 15 = -x/30

y = (450 - x)/30

So,

At x = 330 miles

y = (450 - 330 )/30

y = 4 gallons

Hence "The gallons of gasoline the car has left after it has traveled 330 miles is 4 gallons".

For more about the equation,

https://brainly.com/question/10413253

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