An appliance repairman charges $25 plus $40 per hour for house calls. Write the rule as an equation that relates hours worked x and his fee y.

Answer:

B. 4x² - 20x  + 26

Step-by-step explanation:

→Set it up, like so:

(2x - 5)² + 1

4x² - 20x + 25 + 1

→Add like terms (25 and 1):

4x² - 20x + 26

Answer:

11×-9y=14

Step-by-step explanation:

123hsvwjwjbe

Answer:

(-2,-4)

Step-by-step explanation:

add the equations in order to solve the first variable. put the value into the other equations in order to solve the other variables.

Answer:

$3,485.48

Step-by-step explanation:

For computing the money required at the end of the account term we need to apply the Future value formula i.e be to shown in the attachment below:

Given that,  

Present value = $3,000

Rate of interest = 3% ÷ 365 days  = 0.00821917

NPER = 5 years × 365 days  = 1,825

PMT = $0

The formula is shown below:

= FV(Rate;NPER;PMT;PV;type)

So, after applying the above formula

the amount of future value is $3,485.48

Answer:

y = x+15

Step-by-step explanation:

y - 15=x

Add 15 to each side

y - 15+15=x+15

y = x+15

Answer:

[tex]y=x+15[/tex]

Step-by-step explanation:

[tex]y - 15=x[/tex]

Add [tex]15[/tex] on both sides of the equation.

[tex]y - 15+15=x+15[/tex]

The [tex]y[/tex] should be isolated on one side of the equation.

[tex]y=x+15[/tex]

Answer:

Option 2 is correct

Step-by-step explanation:

One number is 2 times another number plus 3. Their sum is 21.

"One number is 2 times another number plus 3" translated to

x = smaller number = another number

It is also given that: Their sum is 21.

Combine like terms:

3x+3 = 21

Answer:

I do questions like these everyday so I have too much experience. Let me explain step by step for you.

Brainliest?

First lets set 2 variables x and y

Lets make 2 equations.

x=3+2*y

Thats because it says 'x' is 3 more (+) than 2 times(*) 'y'

Now lets set second, we know both of them add up to 27.

x+y = 27

Since we know what x is equal to (look above equation)

We can replace it.

x is replaced with 3+2*y

3+2y+y = 27

3+4y = 27

Simplify 27-3 = 24

24/4 = 6

Now lets plug in for x

3+2*6 = 15

15 - x

6 - y

:))

Answer:

√130 is the distance between (9,-3) (0,-10)

Answer:

  90

Step-by-step explanation:

The family filters 5 gallons per day, so can expect to use the filter for ...

  (450 gal)/(5 gal/day) = 90 day

After 90 days of average water use, the family will need to replace the filter.

Answer:

2x+11

Step-by-step explanation:

2(x+3)+5

Distribute

2x+ 6 +5

Combine like terms

2x+11

Answer:

2x + 11

Step-by-step explanation:

First distribute 2 to the x + 3

2x + 6 + 5

Combine the constants

6+5=11

2x + 11

The simplified expression is 2x + 11

Answer:

Which statements?

Step-by-step explanation:

Can you write the statements please?

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from T (Kano Airport) to point U in the diagram.

Distance = Speed X Time

Therefore: Distance from T to U =50km/hr X 2 hr =100 km

It moves from Point U at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, UA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

[tex]\angle U=110^\circ[/tex]

(a)First, we calculate the distance traveled, TA by plane Y.

Using Cosine rule

[tex]u^2=t^2+a^2-2ta\cos U\\u^2=100^2+125^2-2(100)(125)\cos 110^\circ\\u^2=34175.50\\u=184.87$ km[/tex]

Plane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

[tex]=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)[/tex]

b)Flight Direction of Y

Using Law of Sines

[tex]\dfrac{t}{\sin T} =\dfrac{u}{\sin U}\\\dfrac{125}{\sin T} =\dfrac{184.87}{\sin 110}\\123 \times \sin T=125 \times \sin 110\\\sin T=(125 \times \sin 110) \div 184.87\\T=\arcsin [(125 \times \sin 110) \div 184.87]\\T=39^\circ $ (to the nearest degree)[/tex]

The direction of flight Y to the nearest degree is 39 degrees.

Answer:

9 inches

Step-by-step explanation:

Area of rectangle= length ×width

Let the length of the rectangle be x inches.

Width of rectangle= (x +2) inches

since the width is 2 more than the length.

63= x(x+2)

63= x(x) +2x

Bringing constant to one side,

x² +2x -63= 0

(x +9)(x-7) = 0 (factorise)

x+9= 0 or x-7= 0

x= -9 or x= 7

(reject)

width of rectangle

= 7+2

= 9 inches

*We reject x= -9 since the length of the rectangle cannot be a negative number.

Answer:

4 pizza recipes

Step-by-step explanation:

It shows 4 Xs after the [tex]\frac{3}{4}[/tex] mark. So there are 4 recipes that use MORE than [tex]\frac{3}{4}[/tex] cups of cheese.

Answer:

4 cups of cheese

Step-by-step explanation:

More than 3/4 are (3+1) = 4 cups of cheese

Mark Wishing the Brainliest because he deserves it :)

Answer:

# of broken crayons    # of boces

           1-5                            1

          6-10                          4

          11-15                          5

          16-20                        3

          21-25                         1

Step-by-step explanation:

1-5: 4 (1 number)

6-10: 6, 6, 8, 9 (4 numbers)

11-15: 12, 13, 14, 14, 15 (5 numbers)

16-20: 17, 17, 19 (3 numbers)

21-25: 24 (1 number)

Answer:

Number of broken crayons Number of boxes

1-5 = 4

6-10 = 9

11-15 = 14

16-20 =19

21-25 =24

Step-by-step explanation:

To find the number of boxes compared to the number of broken crayons you have to find 5 consecutive (hence there being five boxes to fill in) numbers with a constant rate of change. Start with the largest number possible that you can pick and then find the second largest so 24 and 19 the rate of change is 5. Compared to 17 and 19 the rate of change is 2 so it doesn’t have the same rate of change but if you try 19-5 you get 14 which is an option if you subtract 14-5 you get 9 which is another option 9-5 is 4 the lowest number you could possibly pick and they all have a constant rate of change of 5 so the answer is correct.

Answer:

[tex]t=\frac{183-160}{\frac{12}{\sqrt{25}}}=9.58[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=25-1=24[/tex]  

And the p value would be:

[tex]p_v =P(t_{(24)}>9.58)\approx 0[/tex]  

Since the p value is very low at any significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 160

Step-by-step explanation:

Information provided

[tex]\bar X=183[/tex] represent the sample mean

[tex]s=12[/tex] represent the sample standard deviation

[tex]n=25[/tex] sample size  

[tex]\mu_o =160[/tex] represent the value to test

[tex]\alpha=0.05[/tex] represent the significance level

t would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to verify if the true mean is greater than 160, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 160[/tex]  

Alternative hypothesis:[tex]\mu > 160[/tex]  

The statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info we got:

[tex]t=\frac{183-160}{\frac{12}{\sqrt{25}}}=9.58[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=25-1=24[/tex]  

And the p value would be:

[tex]p_v =P(t_{(24)}>9.58)\approx 0[/tex]  

Since the p value is very low at any significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 160

Answer:

(y + 8) = -5.5(x + 8)

or

y = -5.5x - 52

Step-by-step explanation:

So find the slope first:

[tex]\frac{-8-3}{-8+10}=\frac{-11}{2} =-5.5[/tex]

Point - Slope Form: (y + 8) = -5.5(x + 8)

Slope - Intercept Form: y = -5.5x + b

-8 = 44 + b

b = -52

y = -5.5x - 52

Answer:

340 m  

Step-by-step explanation:

Assume the figure looks like the one below.

We have three parallel lines cut by two transversals.

1. Lengths of segments

(a) Segment VS

If Vitor walks 260 m,  

VS + SE = 260

VS + 100 = 260

VS = 260 - 100 = 160 m

(b) Segment MJ

If Marcos walks 270 m,  

MJ + JE = 270

VS + 180 = 270

VS = 270 - 180 = 90 m

(c) Segment PV

The segments on the transversals are proportional.

[tex]\begin{array}{rcl}\dfrac{x}{90} & = & \dfrac{160}{180} \\\\x & = & 90 \times \left (\dfrac{160}{180}\right )\\\\& = &\textbf{80 m}\\\end{array}\\\textbf{PV = 80 m}[/tex]

2. Distance travelled by Pedro

Distance = PV + VS + SE = 80 m + 160 m + 100 m = 340 m

Pedro walks 340 m to school.

Answer:

  2 + h = 14 and k - 25 = 2

Step-by-step explanation:

An equation has an equal sign.

Apparently, your answer choices are of the form ...

  (math expression) and (math expression)

In order for this to be "only equations", each "math expression" must contain an equal sign. That is, you must have ...

  ( ... = ... ) and ( ... = ... )

Something like ...

  c -14  and  d +134

contains no equal signs, so has no equations.

It looks like your appropriate choice is ...

  2 + h = 14 and k - 25 = 2

Answer:

the answer is a

Step-by-step explanation:

i took the test

:)

note: have a wonderful day!

Hey there!

First, let's take all of the expenses and change the ones that aren't monthly into monthly.

Groceries: $800/month

Car insurance: $87.5/month

Gasoline: $100/month

Now, let's add together all of our expenses

1090+800+125+87.5+100+200+50=2452.5

Now, we subtract that from her salary.

2300-2452.5=-152.5

Therefore, Rebecca's net monthly cash flow is -$152.5. She should spend a bit less on groceries, not do so much miscellaneous, find a place that charges less rent, drive less, etc. so she isn't spending more than she earns.

I hope that this helps! Have a wonderful day!

Answer:

[tex]58,464 \: \: miles[/tex]

Step-by-step explanation:

[tex]speed = \frac{distantce}{time} \\ [/tex]

[tex]distance = speed \times time \\ x = 72 \times 812 \\ x = 58,464 \: \: miles[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

Corresponding means for population 1 and population 2 form matched pairs.

The data for the test are the differences between the mean for population 1 and mean for population 2.

μd =​ the mean for population 1 minus the mean for population 2.

Population 1 population 2 diff

19 24 - 5

25 27 - 2

31 36 - 5

52 53 - 1

49 55 - 6

34 34 0

59 66 - 7

47 51 - 4

17 20 - 3

51 55 - 4

Sample mean, xd

= (- 5 - 2 - 5 - 1 - 6 + 0 - 7 - 4 - 3 - 4)/10 = - 3.7

xd = - 3.7

Standard deviation = √(summation(x - mean)²/n

n = 10

Summation(x - mean)² = (- 5 + 3.7)^2 + (- - 2 + 3.7)^2 + (- 5 + 3.7)^2+ (- 1 + 3.7)^2 + (- 6 + 3.7)^2 + (0 + 3.7)^2 + (- 7 + 3.7)^2 + (- 4 + 3.7)^2 + (- 3 + 3.7)^2 + (- 4 + 3.7)^2 = 73.7

Standard - eviation = √(73.7/10

sd = 2.71

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (- 3.7 - 0)/(2.71/√10)

t = - 4.32

We would determine the probability value by using the t test calculator.

p = 0.00097

Since alpha, 0.1 > than the p value, 0.00097, then we would reject the null hypothesis. Therefore, at 0.1 level of significance, we can conclude that these data are sufficient to indicate that the mean for population 2 is larger than that for population 1.

3) for population 1,

Mean = (19 + 25 + 31 + 52 + 55 + 34 + 59 + 47 + 17 + 51)/10 = 38.4

Summation(x - mean)² = (19 - 38.4)^2 + (25 - 38.4)^2 + (31 - 38.4)^2+ (52 - 38.4)^2 + (49 - 38.4)^2 + (34 - 38.4)^2 + (59 - 38.4)^2 + (47 - 38.4)^2 + (17 - 38.4)^2 + (51 - 38.4)^2 = 2042.4

Standard deviation, s1 = √2042.4/10 = 14.3

for population 2,

Mean = (24 + 27 + 36 + 53 + 55 + 34 + 66 + 51 + 20 + 55)/10 = 42.1

Summation(x - mean)² = (24 - 42.1)^2 + (27 - 42.1)^2 + (36 - 42.1)^2 + (53 - 42.1)^2 + (55 - 42.1)^2 + (34 - 42.1)^2 + (66 - 42.1)^2 + (51 - 42.1)^2 + (20 - 42.1)^2 + (55 - 42.1)^2 = 2248.9

Standard deviation, s2 = √2248.9/10 = 15

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

For a 90% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

(n1 - 1) + (n2 - 1) = (10 - 1) + (10 - 1) = 18

z = 1.734

x1 - x2 = 38.4 - 42.1 = - 3.7

√(s1²/n1 + s2²/n2) = √(14.3²/10 + 15²/10)

= 6.55

Margin of error = 1.734 × 6.55 = 11.4

The 90% confidence interval is

- 3.7 ± 11.4

Answer:

f

Step-by-step explanation:

Answer:

C =81.64 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

C = 2 * 3.14 * 13

C =81.64 cm

_______________________________

Radius(r)=13 cm

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*13

=81.64 cm

Hope it helps..

Good luck on your assignment

________________________________

Answer:

6/x^2

Step-by-step explanation:

6x^-2

6*x^-2

6*(1/x^2)

6/x^2

Answer: C

Step-by-step explanation:

To get all the constant terms on one side and variable terms on another, all we have to do is to add or subtract them on both sides.

3x+2x=10+5

Now that the like terms are on one side, we can combine them.

5x=15

To get x alone, we divide both sides by 5.

x=3

Now, we notice that x=3 is not an answer choice, but the next option that is equivalent to x=3 is C.

For C, if you divide both sides by -5, you still get x=3.

-15=-5x

x=3

Answer:

12/5

Step-by-step explanation:

Reciprocal of 2/3 is 3/2

Reciprocal of 1/8 is 8/1

Reciprocal of 5 is 1/5

[tex]\frac{3}{2} \times \frac{8}{1} \times\frac{1}{5} = \frac{24}{10} \\[/tex]

Can be simplified to

[tex]\frac{12}{5}[/tex]

Answer:

46 degrees

Step-by-step explanation:

Add 31 + 15 together to find the total angle

31 + 15 = 46

= 46 degrees

Answer:

That is 46°.

Step-by-step explanation:

31 + 15 = 46

So, 46°.

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

[tex]h=\sqrt{x^2+y^2}[/tex]

The rate of change for the distance between you and the elevator is given by:

[tex]\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}[/tex]

[tex]-16=\frac{dh}{dy}*\frac{dy}{dt}[/tex]

[tex]\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\[/tex]

Applying the chain rule:

[tex]u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}[/tex]

Therefore, at x=300 and y = 500, dy/dt is:

[tex]-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s[/tex]

The elevator is descending at 18.66 ft/s.

Question Correction

A group of neighbors are constructing a community garden that is 80 meters wide and 40 meters long. The top two vertices are plotted below at (10, 70) and (90, 70). What are the coordinates for the bottom two vertices of the garden?

Answer:

(10,30) and (90,30)

Step-by-step explanation:

The community garden is 80 m wide and 40 m long.

The top two vertex are plotted at: (10, 70) and (90, 70).

Horizontal Distance =90-10=80

This serves as the Width of the garden.

Since the length is 40m, the bottom two vertex can be derived by the transformation: (x,y-40).

(x,y-40)-->(10, 70)=(10,30); and

(x,y-40)-->(90, 70)=(90,30)

The coordinates for the two bottom vertices are (10,30) and (90,30).

Answer:

D. It would be less steep.

Step-by-step explanation:

→When the absolute value of the number in front of x is greater than 1, the function on the graph narrows. When the absolute value of the number in front of x is less than 1, the function on the graph widens.

In this case, the number is less than 1, making it grow wider. And as a result of it growing wider, it also becomes less steep.

Answer:

20%

Step-by-step explanation:

Cost price (C. P.) of each pen = ₹ 15

Selling price (S. P.) of each pen = ₹ 18

Profit = S. P. - C. P. = 18 - 15 = ₹3

[tex]profit \: percent \\ \\ = \frac{profit}{c.p.} \times 100 \\ \\ = \frac{3}{15} \times 100 \\ \\ = \frac{3}{3} \times 20 \\ \\ = 20\%[/tex]