Gertrude bought a used car for $14,890. She was surprised that the dealer then added $1,280. 54 as a sales tax. What was the sales tax rate for this purchase? Round to one decimal place

Answer:

C

Step-by-step explanation:

Recall the point-slope form of a linear equation:

\(y-y_{1}=m(x-x_{1} )\)

Where y1 and x1 are points from the ordered pair (x1, y1),

and m represents the slope of the line.

We are given that the point (-5, 7) belongs to the graph. Here, the x-coordinate is -5, and the y-coordinate is 7.

Let's plug in these values, were x1=-5, and y1=7:

\(y-y_{1}=m(x-x_{1} )=\\y-7=m(x-(-5))=\\y-7=m(x+5)\)

We are also given that the slope is -4/3.

In other words, m=-4/3. Let's plug this value in:

\(y-7=m(x+5)=\\y-7=-\frac{4}{3}(x+5)\)

Thus, the answer is C.

Answer:

C

Step-by-step explanation:

The point-slope form of the equation of a line passing through the point (x1, y1)with a slope of m is given by:

y - y1 = m(x - x1)

To find the equation of the line passing through the point (-5, 7)with a slope of -4/3, we substitute m = -4/3, x1 = -5, and y1 = 7 into the point-slope form equation:

y - 7 = (-4/3)(x - (-5))

Simplifying this equation, we get the final result in slope-intercept form:

y = (-4/3)x + (17/3)

Therefore, the equation of the line in a point-slope form that passes through (-5,7) and has a slope of -4/3 is y + 7 = -4/3 (x + 5)

Answer:

I think 12 : 36 I not so sure though

Answer:

Supposing the ISS travels at a constant speed, then use the relation,

t=space/velocityt=space/velocity

Then you will obtain,

t=1.65\cdot 10^9\ hourst=1.65⋅109 hours

Answer:

COP: Coefficient Of Performance

Execute: A COP is a ratio that measures the amount of energy a heating/cooling appliance outputs to the amount it consumes. (maybe this is how you can plan it, execute means different things, and I think what they mean is how you can plan it....

Maybe this would help?!

Have a supercalifragilisticexpialidocious day!

Answer: There are a few different ways to approach this problem, but one common method is to use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, we want to find the probability of at least one psychologist being chosen, which is the same as 1 minus the probability of no psychologists being chosen.

To find the probability of no psychologists being chosen, we first need to calculate the total number of ways to choose 3 people from a group of 54, which is:

54 choose 3 = 54! / (3! * 51!) = 19,958

Then we need to find the number of ways to choose 3 psychiatrists from a group of 24, which is:

24 choose 3 = 24! / (3! * 21!) = 1,344

Now, we can use these values to calculate the probability of no psychologists being chosen:

P(no psychologists) = (24 choose 3) / (54 choose 3) = 1,344 / 19,958 = 0.067 or 6.7%

Finally, we can use the complement rule to find the probability of at least one psychologist being chosen:

P(at least one psychologist) = 1 - P(no psychologists) = 1 - 0.067 = 0.93 or 93%

So the probability that at least one psychologist is chosen from the conference is 93%

Step-by-step explanation:

The error for the 3rd week, using SES forecast with α=0.3, is -0.1.

To calculate the error for the 3rd week using SES (Simple Exponential Smoothing) forecast, we first need to calculate the forecasted value for the 3rd week. The forecasted value is calculated using the formula:

\(F_t = α * A_{t-1 }+ (1 - α) * F_{t-1}\)

Where:

\(F_t\) is the forecasted value for week t

\(A_{t-1}\) is the actual value for the previous week (week t-1)

\(F_{t-1}\) is the forecasted value for the previous week (week t-1)

α is the smoothing factor

Given the time series values for weeks 1, 2, 3, and 4 as 22.00, 7.00, 10.00, and 13.00 respectively, and α=0.3, we can calculate the forecasted value for the 3rd week as follows:

F₃ = 0.3 * 7.00 + (1 - 0.3) * 10.00

= 2.1 + 7

= 9.1

The error for the 3rd week is then calculated as the difference between the actual value and the forecasted value:

Error₃ = Actual Value₃ - Forecasted Value₃

= 10.00 - 9.10

= -0.1

Therefore, the error for the 3rd week, using SES forecast with α=0.3, is -0.1.

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Answer:

Step-by-step explanation:

a) (52 + 63)/250 = 0,46 = 46%

b) (63+77)/250 = 0,56 = 56%

c) 63/140= 0.45 =  45%

d) vegetarian that exercise: 52/110 = 47%

Compararison with not vegetarian:

63 : 140 = x : 110

50/110

So the answer is the first option

The class in which students spent less time on their homework would be Class B.

The class with less variability in the time spent on homework is Class A.

Class B students spent the least time on their home because we can see that there were students who spent as little as 10, 15 and 20 minutes on their homework as opposed to Class A where the lowest time spent was 35 minutes.

This is why Class A has the lesser variability as well in time spent on homework because they had no time spent below 35 minutes.

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Answer:

452.4

Step-by-step explanation:

area is given by πradius squared which gives answer as 452.389

Answer:

452.39 because you have to take the radius squared times pie or 3.14 to get the area so your answer would be 452.39

Step-by-step explanation:

Hope it helps

Answer:

20/893

Step-by-step explanation:

of means to multiply

i did it on a calculator

hope this helps

Answer:

20/893 or 0.0224

Step-by-step explanation:

Of means "multiply".

So, 2/47 of 10/19 is 2/47 * 10/19.

Now simplify:

2/47 * 10/19

20/893 or 0.0224

Answer:

15

Step-by-step explanation:

Answer:

The answer is 101

Step-by-step explanation:

3⁴ is 81, then multiply 4 by 5. Add the two answers together and get 101

Answer:

7.35

Step-by-step explanation:

This sample would be considered A. Cluster sample. In a cluster sample, the researcher divides the population into groups or clusters, and then randomly selects some of these clusters to include in the sample.

In this case, the researcher is selecting nine counties as the clusters, and surveying all shoulder surgery patients within those counties. This is different from a stratified sample, in which the population is divided into subgroups or strata based on certain characteristics, and a representative sample is selected from each stratum. It is also different from a convenience sample, in which the researcher simply selects the individuals who are easiest to reach or who happen to be available at the time of the study. And it is different from a simple random sample, in which every member of the population has an equal chance of being selected for the sample.

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The exchange rate of the euro/pound expressed to four decimal places is 1.0100 euro/pound.

To find the exchange rate of the euro/pound, we can use the given exchange rates of dollar/pound and dollar/euro.

Let's denote the exchange rate of euro/pound as E.

Given:

Exchange rate of dollar/pound = 1.21 dollar/pound

Exchange rate of dollar/euro = 1.22 dollar/euro

To find the exchange rate of euro/pound, we can divide the exchange rate of dollar/euro by the exchange rate of dollar/pound:

E = (Exchange rate of dollar/euro) / (Exchange rate of dollar/pound)

E = 1.22 dollar/euro / 1.21 dollar/pound

Simplifying this expression, we get:

E = 1.01 euro/pound

Therefore, the exchange rate of the euro/pound, is 1.0100 euro/pound.

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The value of a is less than -1.

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

The function form of a parabola:

y = ±a (x - h)² + k,

where,

(h, k) is the vertex and, -a is the value of the parabola that is narrower.

Now, we have two functions,

g(x) = ax²

f(x) = x².

Given:

The graph of g(x) = ax² opens downward and is narrower than the graph of f(x) = x².

So, the value of a is less than -1.

Therefore, a < -1.

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Answer:

1,960,000 square feet

Step-by-step explanation:

First let's round 679 to the nearest hundred. To do this we look at the 10s digit. If it is 5 or greater, we round up to 700 (because it is past halfway between 600 and 700), and is not we round down back to 600.

The 10s digit of 679 is 7, which is greater than 5. Therefore 679 rounded to the nearest hundred is 700.

Now let's look at 2828. The 10s digit here is 2, which is smaller than 5, therefore we round back down to 2800, which is closer than 2900.

Now we have 700 and 2800. To find the area, (assuming the yard is a rectangle) we multiply the length by the width together (these two values). 700x2800 = 1,960,000 square feet.

Hope this helped!

Step-by-step explanation:

The graph that represents all values of x such that x > -3 and x < 2 is the graph of a vertical line segment located between -3 and 2 on the x-axis, but excluding these two points. This can be represented graphically as:

|

|

|

---------x---------

|

|

|

-3 2

Here, the open circles indicate that the points -3 and 2 are not included in the range of values for x.

Answer:

So if he needs 1.5 of the lemonade mix, to find how much you need, simplu divide.

Step-by-step explanation:

4.5/1.5=3

He can make 3.

Answer:

11.2

Step-by-step explanation:

The answer is 11.2

11.2*.25=2.8

11.2-2.8=8.4

Hope this helps <3

Answer:

Step-by-step explanation:

since the hypotenuse of 6 cm is shorter than the base of 8 cm there is something wrong with this drawing.  The box can't be square so maybe answer C is good but.. since this box isn't a right angled box.. we really don't know.   This is a bad question b/c it's making the appearance of being a right angle but it can not be.  Like an Escher drawing..  not possible irl  

The volume of the rectangular prism is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

The missing height of the rectangular prism is 3 cm

It is given that:

The rectangular prism is shown in the picture with dimensions.

As we know, the volume of the rectangular prism is given by:

V = length×width×height

Length = 2 cm

Width = 8 cm

Height = 3 cm

The volume of this figure:

V = 2×8×3

Or

The volume of this figure V = 8×2×3 cubic in

Thus, the volume of the rectangular prism or the volume of the figure is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

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The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:

Option 1 can be obtained by distributing the -3 on the left-hand side and the 5 on the right-hand side, which gives:

-6x - 5 < 10 - x

Option 2 can be obtained by simplifying the expression on the left-hand side first and then by subtracting 5x from both sides, which gives:

-6x + 15 < 10 - 5x

The number line representations are not correct for this inequality, as they show the solutions to x > 5 and x < -5 respectively.

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Answer:

54!

Step-by-step explanation:

300-30

=270×.20

=54

Answer:

$90

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9%/100 = 0.09 per year,

then, solving our equation

I = 2000 × 0.09 × 0.5 = 90

I = $ 90.00

The simple interest accumulated

on a principal of $ 2,000.00

at a rate of 9% per year

for 0.5 years is $ 90.00.

Step-by-step explanation:

a)

8÷2=4

12÷3=4

27÷9=3

•it does'nt always take the same amount of time to serve each customer .

•10×3=30

b)

according to the question

2=18 point

4=36 point

8=72 point

18=9×2

36=9×4

72=9×8

so 1dollar =9point

•each dollar spent appears to earn the same number of point

•because 81=9×9, it costs 9 dollar

An object is moved rigidly when it is transferred from one location to another without affecting its size or shape.

A "matching" figure is one that can be placed perfectly on another. The bread has the same size and form when it is stacked. Match refers to objects that are precisely the same size and form. If one of two geometric figures can be consistently overlaid on the other, they are said to be congruent or to be in a congruent relationship.

An object is moved rigidly when it is transferred from one location to another without affecting its size or shape. Only a precise movement may generate a correspondence between two forms, and only then can two shapes match.

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Answer: 22 I got my answer from safari

Step-by-step explanation:

In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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Answer:

Always the product of any number and zero will be zero.

Step-by-step explanation:

Answer: Always the product of any number and zero will be zero.

HOPE THIS ANSWER HELPS YOU....

Answer:

Step-by-step explanation:

Always start with doing dividing and multiplication first.

4÷2 = 2

2 X 8 = 16

Now, do the basics

6+16-2 =