The amount $4.50 is 6% of what price? (1 point)

a
$10.50
b
$13.30
c
$27.00
d
$75.00

Step-by-step explanation:

The formula D = 401t + 5940 can be used to approximate the total average credit card debt in a U.S. household (in dollars) t years after 1995. Use this formula to predict what the total average credit card debt will be in the year 2028.

2028 - 1995 = 33 years, so t = 33

D = 401t + 5940

D = 401(33) + 5940

D = 13,233 + 5940  

D = 19,173

Answer: In the year 2028, the total average credit card debt for a U.S. household will be $19,173

Answer:

x=21

Step-by-step explanation:

The solutions for the equation sinx = √1 - cosx in the interval [0, 2π) are x = 0, π/2, and 3π/2.

To solve this equation, we first need to square both sides:
sin^2x = 1 - cosx
Next, we can use the identity sin^2x + cos^2x = 1 to substitute sin^2x with 1 - cos^2x:
1 - cos^2x = 1 - cosx
Now we can simplify by moving all the terms to one side:
cos^2x - cosx = 0
Factorizing, we get:
cosx(cosx - 1) = 0
So the solutions are when cosx = 0 or cosx = 1. In the interval [0, 2π), the solutions for cosx = 0 are x = π/2 and 3π/2. The solution for cosx = 1 is x = 0. Therefore, the solutions for the equation sinx = √1 - cosx in the interval [0, 2π) are x = 0, π/2, and 3π/2. We express these solutions in radians in terms of π.

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Answer:

b

Step-by-step explanation:

its b cause theres no mile that tells us

Answer:

C

Step-by-step explanation:

1.25 for each mile so 1.25m plus the original $50

Answer:

y=1/3x-1/3

Step-by-step explanation:

The value of 1/α² + 1/β is -17/21.

Given a polynomial f(x) = 3x² + 5x + 7. And we need to find the value of 1/α² + 1/β. Now we need to use the relationship between zeroes of the polynomial and coefficients of the polynomial.

Let α and β be the zeroes of the polynomial f(x) = 3x² + 5x + 7 The sum of the zeroes of the polynomial = α + β, using relationship between zeroes and coefficients.

Sum of zeroes of a quadratic polynomial ax² + bx + c = - b/aSo, α + β = -5/3and,αβ = 7/3Now, we need to find the value of 1/α² + 1/βLet us put the values of α and β in the required expression 1/α² + 1/β = (α² + β²)/α²βNow, α² + β² = (α + β)² - 2αβ= (-5/3)² - 2(7/3)= 25/9 - 14/3= (25 - 42)/9= -17/9Now, αβ = 7/3So, 1/α² + 1/β = (α² + β²)/α²β= (-17/9)/(7/3)= -17/9 × 3/7= -17/21

Therefore, the value of 1/α² + 1/β is -17/21.

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Answer:

Translation

Step-by-step explanation:

Answer:

D. Rotation then translation

Step-by-step explanation:

The slope of the line is \(\frac{2-0}{0-(-4)}=\frac{1}{2}\).

Substituting into point-slope form, the equation is \(\boxed{y=\frac{1}{2}x+2}\).

Answer:

4/5

Step-by-step explanation:

Sin is opposite / hypotenuse

Sin x= 16/20

16/20= 4/5

Answer:

total 6

even 2, 4, 6

even or less than 4: 2, 4

p = 2/6 = 1/3

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If an event is getting a letter grade of A in your statistics class, then the complement of receiving A is getting any other letter grade(B, C, D, E, F)

The complement of an event refers to the set of all outcomes that are not included in the event. In this case, the event is getting a letter grade of A in your statistics class. The complement of this event would be getting any other letter grade that is not an A, such as a B, C, D, or F.

To find the probability of the complement of receiving an A, we need to first find the probability of receiving an A. Let's assume that the probability of receiving an A in your statistics class is p(A). Then, the probability of not receiving an A (the complement event) would be denoted as p(A') and would be calculated as:

p(A') = 1 - p(A)

This is because the sum of the probabilities of all possible outcomes is always equal to 1. Therefore, if the probability of getting an A is, for example, 0.8, then the probability of not getting an A would be:

p(A') = 1 - 0.8 = 0.2

So, the complement of receiving an A in your statistics class is not receiving an A, which includes getting any other letter grade (B, C, D, or F), and the probability of this event is equal to 0.2 (or 20%, in this example).

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Answer:

a^11

Step-by-step explanation:

a to the power of 2 to the power of 3 equals to a to the power of 6

then, multiplied to a to the fifth, you add 5 by 6, which is 11

Answer:

The 9 in the thousands place equals a thousand (9,000) and the place to the right equals a hundred (900).

Step-by-step explanation:

Answer:

Step-by-step explanation:

9000 - 900

= 8100

Answer:

Answer is

option B.

3a+2

Answer:

Let h be the height of the triangle.

Set your calculator to degree mode.

\( \tan(71) = \frac{26}{h} \)

\(h \tan(71) = 26\)

\(h = \frac{26}{ \tan(71) } = 8.9525\)

So the area of this triangle is

(1/2)(26)(8.9525) = 116.3827 square feet

The length of the hypotenuse is

\( \ \sqrt{ {( \frac{26}{ \tan(71) } )}^{2} + {26}^{2} } \)

\( \sqrt{ {8.9525}^{2} + {26}^{2} } = 27.4981\)

So the perimeter of this triangle is

8.9525 + 26 + 27.4981 = 62.4506 feet

Answers:

=====================================

Explanation:

Answer:

c = 14 * t

Step-by-step explanation:

we have to calculate the average to make the equation, the first thing is to calculate the calories burned per minute in the two days:

the first day:

280/20 = 14

second day:

490/35 = 14

that is, how it does not change from day to day, the average is 14 calories per minute, therefore, the equation would be:

c = 14 * t

The equation represents this relationship is \(c = 14 \times t\)

Since Sarah burned 280 calories running 20 minutes. The next day, Sarah burned 490 calories running for 35 minutes. Let c represent the number of calories. Let t represent time, in minutes, spent running.

So, here we need to determine the burned per minute for 2 days

So,

the first day

\(= 280\div 20\)

= 14

And, the second day:

\(= 490\div 35\)

= 14

Therefore, The equation represents this relationship is \(c = 14 \times t\)

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A definite integral is said to be improper if one or both of the limits of integration are infinite, or if the integrand function has a vertical asymptote within the interval of integration.

In other words, an improper integral is one that cannot be evaluated using the usual techniques of integration, such as the fundamental theorem of calculus, because it involves infinite limits or a function that is not integrable over the interval.

For example, the definite integral of f(x) = 1/x from 1 to infinity is an improper integral because the upper limit of integration is infinity, which is not a finite number. Similarly, the definite integral of f(x) = ln(x) from 0 to 1 is an improper integral because the lower limit of integration is 0, and the function has a vertical asymptote at x=0.

To evaluate improper integrals, we use limit processes to determine whether the integral converges (has a finite value) or diverges (has an infinite value). If the integral converges, we can find its value by taking the limit of a related integral as one or both of the limits of integration approach infinity or zero.

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ - 11}}}}}\)

Step-by-step explanation:

\( \sf{85 + ( - 96)}\)

Multiplying positive integer and negative integer gives a negative integer i.e ( + ) × ( - ) = ( - )

\( \longrightarrow{ \sf{85 - 96}}\)

The negative and positive integers are always subtracted but posses the sign of the bigger integer

\( \longrightarrow{ \sf{ - 11}}\)

Hope I helped!

Best regards! : D

The required answer considering the given scale are;

i. length of the path on map = 3.6 cm

ii. value of k = 0.02 cm

Scale drawing

A scale is a representative factor that can be used to either increase or decrease the dimensions of a given object.

So that;

scale =  length of drawing/ original length

In the given question, the scale given is a reduced scale.

scale = 1/ 5000

         = 0.0002

Thus;

i. Given that the length of a path is 180 m, the length on the map can be determined by;

     180 m x 0.0002 = 0.036 m

The length on the map = 0.036 x 100

                                       = 3.6 cm

ii. The value of k = length of drawing/  original length

   k  = 1/ 5000

         = 0.0002 x 100

   k = 0.02 cm

The value of k = 0.02 cm.

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Answer:

The answer will be A because you start at 4 and in between 4 and 5 you will go up to 7 and that will be your answer

Answer:

The answer is B

Step-by-step explanation:

The approximate annual interest rate is 18%. This can be found by taking the natural logarithm of both sides of the equation and dividing by 12.

The equation y=1000(1.015)t represents the amount of money in Marco's bank account, where t is time in months. The interest rate is the percentage of the original amount of money that is earned in interest each year. To find the approximate annual interest rate, we can take the natural logarithm of both sides of the equation and divide by 12, the number of months in a year. This gives us:

ln(y) = ln(1000(1.015)t)

ln(y) = tln(1.015)

ln(y) / 12 = tln(1.015) / 12

≈ 0.018

This means that the approximate annual interest rate is 18%.

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Explanatory variable: The type of pill the men took each day.

Response variable: Whether a subject had a heart attack.

We have been given that :

Participated candidates are 400

Men are divided randomly so we find out explanatory and response  variable.

The explanatory variable is the variable that is manipulated by the researcher. Explanatory Variable also known as the independent or predictor variable, it explains variations in the response variable; in an experimental study, it is manipulated by the researcher.

Response variable: Response Variable is the result of the experiment where the explanatory variable is manipulated. It is a factor whose variation is explained by the other factors. Response Variable is often referred to as the Dependent Variable or the Outcome Variable.

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The equation represented by the graph is given as follows:

\(y = e^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

For a logarithm with base e, with intercept of y = 1, the equation is given as follows:

\(y = e^x\)

Which is the equation for this problem.

The graph is given by the image presented at the end of the answer.

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Answer:

235.5

Step-by-step explanation:

To get the radius you need to divide 5 by 2 and you would get 2.5.  The formula for cylinder volume is πr^2h.  2.5^2 times 12 times π is 235.5

Answer:

a fair cube is expected to come up an equal number of times on each side

6 sides, 60 rolls

... each side is expected 10 times

a) 10 ... expected outcome

b) 30 ... expected outcome

c) 30 ... expected outcome

d) 0 ... only 6 sides

The area of the shaded sector is 27 π  units squared.

In geometry, a sector in a circle is a region bounded by two radii and an arc of the circle. The two radii define the boundaries of the sector, and the arc connects these two radii, forming a portion of the circle's circumference. The center of the circle is located at the intersection of the two radii that bound the sector.

The formula for the area of a sector in a circle is given by:

Area of a sector = (central angle/360⁰) x area of the circle

The area of a circle is given by:

Area = πr²

Where r = radius.

Hence,

Area of a sector = (central angle/360⁰) x πr²

Information available from the pciture:

central angle = 120⁰

r = 9 units

Hence,

Area of the sector = ( 120⁰/360⁰) x π x 9²

                              = ( 1/3) x π x 81 = 27 π  units squared

The picture in your question is missing, most likely it was like on the attached picture.

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Answer: the answer is B 27π units²

Step-by-step explanation: it is show below.

Answer:

8

Step-by-step explanation:

120/15=8. :)

Answer:

8

Step-by-step explanation:

15x = 120° (exterior Alternate angles)

x = 120/8

x = 8