The function f is defined by f(x)=x^2+3x-10

Answer:

Timmy's tubes = 11.25$

Fred's floats = 11.375$

Step-by-step explanation:

For Timmy's tubes

We use unitary method to solve

For 2 1/2 hours, it charges $18.75

So, for 1 1/2 hours it charges $11.25

Similarly for Fred's floats

Base fee = $2

Fee per hour = $6.25

So, for 1 1/2 hour fee = 2 + 6.25 + 3.125 = $11.375

So, Terry should choose Timmy's tubes

well, let's see, what do we know about Timmy's Tubes, is a direct variation equation, since he's charging depending on the hours it's rented, thus

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{\underline{c}ost varying with \underline{h}ours}}{c = kh}\qquad \textit{we know that } \begin{cases} c=18.75\to \frac{75}{4}\\ h=1\frac{1}{2}\to ~\hfill \frac{5}{2} \end{cases} \\\\\\ \stackrel{cost}{\cfrac{75}{4}}=\stackrel{hours}{\cfrac{5}{2}h}\implies 2\cdot 75=4\cdot 5h\implies 150=20h\implies \cfrac{150}{20}=h\implies \cfrac{15}{2}=h \\\\\\ therefore\qquad c=\cfrac{15}{2}h\impliedby \textit{Timmy's rate}[/tex]

now, Fred charges $2 flat right off, plus $6.25 for every added hour, so Fred's equation will more or less be

1 hour 2 + 6.25(1)

2 hours 2 + 6.25(2)

3 hours 2 + 6.25(3)

1)

how much will Timmy charge for 1 1/2 hour?

[tex]c = \cfrac{15}{2}\cdot \stackrel{h}{1\frac{1}{2}}\implies c = \cfrac{15}{2}\cdot \stackrel{h}{\cfrac{3}{2}}\implies c = \cfrac{15}{4}[/tex]   or just 3.75

how much will Fred charge for the same time?

[tex]c=2+6.25\left( \frac{3}{2} \right)\implies c=9.375[/tex]

2)

using only $12 for each, who is the better bargain?

[tex]\stackrel{\textit{Timmy's}}{c = \cfrac{15}{2}h}\implies 12=\cfrac{15h}{2}\implies 24=15h\implies \cfrac{24}{15}=h\implies \boxed{1.6=h} \\\\\\ \stackrel{\textit{Fred's}}{c = 2 + 6.25h}\implies 12=2+6.25h\implies 10=6.25h \\\\\\ \cfrac{10}{6.25}=h\implies \boxed{ 1.6=h}[/tex]

well, let's notice, Terri is going to get the same amount of hours with either, so, it really doesn't matter, both will only give 1.6 hours, or 1 hour and 36 minutes.

Answer:

128° because it is same side exterior with <5

Step-by-step explanation:

[tex] < 6 = \: < 4 = \: < 1 = 128 \degree[/tex]

Answer:

128 because it corresponding with 5

Step-by-step explanation:

Are you using a particular calculator for the class? For this class, is the payment expected to be compounded monthly?

There is a function in Microsoft Excel that will calculate the payment for you, but the answer is going to be slightly different for a business math class than a calculus-based statistics class.

The excel formula to calculate a payment is

=PMT(0.04/12,60,25000,0)

.04/12 is the interest APR on a monthly basis

60 is the number of months

25000 is the current amount owed

0 is the future balance after 60 payments

The answer from Excel is $460.41 -- ignore the negative sign for these purposes.

Multiply that number by the 60 months you pay and you get a total paid of $27,624.78

Remove the initial 25K and $2,624.78 is your interest amount.

By the way, I used the simplifying assumptions that the problem meant "interest rate" when it said "APR", and that the rate would compound monthly. In the actual loan industry, the interest rate is only part of the calculation for APR, a

146.08

Step-by-step explanation:

Let's start by figuring out the payment

effective rate: .035/12= .002916667

\begin{gathered}2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71\end{gathered}

2000=x

.002916667

1−(1+.002916667)

−48

x=44.71

then it's just

44.71*48-2000=146.08

Answer:

146.08

Step-by-step explanation:

Let's start by figuring out the payment

effective rate: .035/12= .002916667

[tex]2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71[/tex]

then it's just

44.71*48-2000=146.08

9514 1404 393

Explanation:

Divide the figure into areas for which you have a surface area formula. Use the appropriate formula for each area, then add up the results.

Formulas are available for surface areas of a cone, cylinder, sphere, pyramid, rectangular prism, and for plane shapes that are circles, ellipses, triangles, rectangles, trapezoids, and regular polygons.

Most of the figures for which you are asked to find the area will decompose to some subset of these shapes. Take care to identify the relevant dimensions of each of the constituent parts of the area, and to make sure that all parts are accounted for. Do not allow your parts of the area to overlap, unless you intend to account for that overlap by subtracting the area that is counted more than once.

Also, use your common sense. A semicircle will have half the area of a circle, for example.

In some cases, it may be expedient to compute the area of a larger figure than the one you have, then subtract the part of that area that is missing from your figure.

9514 1404 393

Answer:

  448

Step-by-step explanation:

(4 pt/da)×(7 da/wk)×(16 oz/pt) = 448 oz/wk

That would be 448 fluid ounces per week.

Answer:

x>20

Step-by-step explanation:

Hi there!

[tex]120-5x < 20[/tex]

Subtract 120 from both sides

[tex]120-5x -120< 20-120\\-5x<-100[/tex]

Divide both sides by -5 and switch around the inequality symbol (because we're dividing by a negative number)

[tex]\frac{-5x}{-5} >\frac{-100}{-5} \\x>20[/tex]

I hope this helps!

Answer:

4 inches

Step-by-step explanation:

The line that is perpendicular to the bottom of the trapezoid is the height.

Answer:

The center is ( -2, 7) and the radius is 6

Step-by-step explanation:

A circle is written in the form

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x+2)^2+(y-7)^2=36

(x -  -2)^2+(y-7)^2=6^2

The center is ( -2, 7) and the radius is 6

Answers:

Each pair of triangles are congruent. The congruence reasoning is shown below.

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

Further Explanation:

Abbreviations:

ASA = angle side angle

SSS = side side side

HA = hypotenuse angle

Answer:

Step-by-step explanation:

She wins if the numbers 5 or 6 come up. There are 4 other numbers that are equally likely to be face up.

Most of the time she will lose because two out of 6 is much smaller than 4/6. If you were betting on horses, the odds are 1 in 2. That means that who ever you are playing against should put up 2 dollars for every dollar you put up.

That would be a fair game.

Answer:

the correct t answer is d

Answer:

the answer to this is 10 i think sorry if it is wrong

Step-by-step explanation:

The triangles are similar and the measure of BC = 60/7 units

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔADE

Now , ΔABC and ΔADE are similar triangles

where corresponding sides of similar triangles are in the same ratio

So , AD / AB = DE / BC

On simplifying , we get

7 / 10 = 6 / BC

Multiply by BC on both sides , we get

BC ( 7/10 ) = 6

Multiply by 10 on both sides , we get

7BC = 60

Divide by 7 on both sides , we get

BC = 60/7

Hence , the measure of BC = 60/7 units

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ3

Answer:

x is 13°.take the triangle to find the measure of x.180° -(85°+82°)=x

180°-167°=13°

For the given triangle the measure of the angle x is = 3 degrees.

Labeling the given figure,

since angle C and angle B are alternate angles

Therefore,

For the triangle ABE

The interior angle for A = x

The interior angle for B = 180 -98

                                       = 92 degree

Since we know that,

The sum of the two interior angles of a triangle is equal to the exterior angle of the opposite side.

Therefore,

⇒ x  + 92 = 180 - 85

⇒ x  = 3 degrees.

Hence,

The measure of the angle x is = 3 degrees.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

Answer:

Triangles have two meanings depending on their position. When pointing up, they represent stability and power, when pointing down they become unstable. The triangle is primarily a masculine shape, but when inverted it also represents female reproduction. Triangles possess a number of key advantages that make them ideal for both architects and curious students. The strength of a triangle derives from its shape, which spreads forces equally between its three sides.

Step-by-step explanation:

Answer:

f(6) = 82

Step-by-step explanation:

[tex]f(x) = 2x^2 + 5\sqrt{x-2}[/tex]

[tex]=> f(6) = 2(6)^2 + 5\sqrt{6-2}[/tex]

             [tex]= 2 \times 36 + 5 \times \sqrt{4}[/tex]

             [tex]= 72 + 5 \times 2[/tex]

             [tex]= 72 + 10[/tex]

             [tex]= 82[/tex]

Answer:

A reflection of the point across the y-axis

Answer:

1/25, 1, 625

Step-by-step explanation:

The value of the function at f(–1), f(0), and f(2) will be 1/25, 1, 625 thus option (d) is correct.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

f(x) = [tex]5^{2x}[/tex]

Put x = -1

f(-1) = 5⁻² = 1/5² = 1/625

Put x = 0

f(0) = 5⁰ = 1

Put x = 2

f(2) = 5²ˣ² = 5⁴ = 625

Hence "The function's value at f(-1), f(0), and f(2) is 1/25, 1, 625".

For more about the function,

brainly.com/question/23712366

#SPJ2

using sin∆ = 5/13

= 0.3846

therefore ∆ = 22.62

Answer:

Two standard deviations

Step-by-step explanation:

The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;

one standard deviation lie within 68% of the mean

Two standard deviations lie within 95%

Three standard deviations lie within 99.7%

Hence, for the question given, 95% fall within 2 standard deviations of the mean

Answer:

Kindly check explanation

Step-by-step explanation:

Given the formula :

Pn = 25.8(1.0219)^h to predict the population of Ghana ;

The equation given is in the form of an exponential function:

The general form of an exponential distribution :

y = ab^x

a = Initial value ; b = constant multiplier or growth or Decay factor

Comparing :

The number in parenthesis = 1.0219 = b

b = Decay or growth factor :

Since b > 1 ; then We have a growth factor;

b = 1 + rate

1.0219 = 1 + rate

Rate = 1.0219 - 1

Rate = 0.0219

Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%

this contain two triangle and one rectangle

therefore total area = 2×area of triangle + area of rectangle

then refer the attachment

Answer:

d.

Step-by-step explanation:

1) just to substitute the value of 'x' into the given equation and check equality:

(9;-2): -2≠ -45-1;

(5;24): 24≠-25-1;

(-1;6): 6≠5-1;

(-4;19): 19=20-1.

multiplications

mark me brainliesttt :))

Answer:

x < 3

Step-by-step explanation:

The graph of f(x) is above the graph of g(x) for values of x less than 3.

Answer: x < 3

Answer:

7.4 cm

Step-by-step explanation:

Volume of sphere

v = (4/3)πr³

Volume of hemisphere will be half that

v = (2/3)πr³

(2/3)πr³ = 839

multiply both sides by 3/2

πr³ = 1,258.5

Divide both sides by π

r³ = 400.5929917623

Take the cube root of both sides

r = 7.3717022001

Rounded

r = 7.4 cm

Answer:

Step-by-step explanation:

Look at the two points and is it going up or down? The slope is 1/1 because it is going up 1 and over 1

Answer:

Tammy initially had $4 pay.

Step-by-step explanation:

C on edge 2021

The y-intercept represent Tammy initially had $10 pay.

From the given graph, we can observe that the line passes through the points (2, 18) and (8, 42).

Using the two points on the line, the slope (m) of the line:

m = (change in y) / (change in x)

= (42 - 18) / (8 - 2)

= 24 / 6

= 4

Using slope-intercept form of a line equation: y = mx + b,

y= 4x+ b

Put x=2 and y= 18 we get

18 = 4(2)+b

18 = 8 + b

b= 18- 8

b = 10

Thus, the y-intercept represent Tammy initially had $10 pay.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

Step-by-step explanation:

(B). 2√2