Linda is training to be an assistant at the local animal shelter. To become an assistant she needs to complete 48 h of training. Linda keeps a graph of the number of hours of training left to be completed. What is the rate of change of the number of hours remaining with respect to the number of days? Remember to include units.

Answers

Answer 1

The equation between the number of days remaining and number of hours is given as y= -5x+50.

How to illustrate the equation?

Let y be the number of days remaining and x be the no.of hours.

From the graph the slope of the line is given by m.

m=(y2 - y1)/(x2 - x1)

m=(30 - 40)/(4 - 2)

m= -10/2 = -5.

The above slope is in between points 2 and 4. As the line has a constant rate of growth the slope is the same between any points of the line.

Therefore the equation between the no.of days remaining and no.of hours is given by

y=mx +c.

y=-5x+c

Now to find the value of c. This can be determined by substituting the x and y values at a particular instant. For x=0,y=50. Therefore by these values, we get,

50= -5(0)+c

c=50.

Therefore the relation between the number of days remaining and number of hours is given as y= -5x+50.

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Related Questions

Given b(x)=|x+41|, what is b(-10)?

Answers

Answer:

31

Step-by-step explanation:

Substitute -10 for x in b(x)=|x+41|, obtaining f(-10) = |-10 + 41|.  This result simplifies to f(-10) = |31| = 31

Rectangle MNPQ is rotated using the origin as the center of rotation, resulting in rectangle M’N’P’Q’, as shown below.

On a coordinate plane, rectangle M N P Q has points (negative 2, 6), (0, 4), (negative 3, 1), (negative 5, 3). Rectangle M prime N prime P prime Q prime has points (6, 2), (4, 0), (1, 3), (3, 5).

Which rotation may have occurred?
a 45° rotation clockwise
a 45° rotation counterclockwise
a 90° rotation clockwise
a 90° rotation counterclockwise

Answers

Answer:

45° rotation clockwise

Step-by-step explanation:

When you plot these on the graph, the non prime ones are on quadrant 2 and when you plot the prime ones, it is on quadrant 1. This means that it is 45° to the right(clockwise)

⬇️red is prime blue is regular ⬇️

What numbers are the arrows pointing to?
a)
b)
c)
60

2.5
70
3.5

Answers

Using proportions, the numbers that the arrows are pointing to are:

a) 62.

b) 8.8.

c) 2.8.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In item a, the arrow is 2/10 of the way from 60 to 70, hence the number is:

60 + 0.2(70 - 60) = 60 + 2 = 62.

In item b, the arrow is 8/10 of the way from 8 to 9, hence the number is:

8 + 0.8(9 - 8) = 8.8.

In item c, the arrow is 3/10 of the way from 2.5 to 3.5, hence the number is:

2.5 + 0.3(3.5 - 2.5) = 2.8.

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graph

Y=-2x-3 and y=-x+6

Answers

Answer:

here ya go :)

the black line is y=-2x-3

the lavender line is y=-x+6

I have no clue what this question is asking nor how to answer it

Which of the following numbers are solutions of the sentence x-3< 2?

| -3
|| 0
||| 2
IV 5


II only

III only

I and III only

I, II, and III only

Or

I, II, III, and IV

Answers

Answer:

IV 5

Step-by-step explanation:

you have to solve for x:

x-3<2

x-3+3<2+3

x=5

could you put the brainlyest Icon for me? I have 1500 points, but no brainlyest, so I can't move up the ranks.

Find the value of variable X.

16

41

10

17.5

Answers

Using secant rule, the value of variable x in the diagram is 10.

What is a secant?

A secant is a line that intersect a circle in two points.

Therefore, the following rule guides a secant.

(x + 32)32 = (20 + 28)28

Hence,

32x + 1024 = (48)28

32x + 1024 = 1344

32x = 1344 - 1024

32x = 320

divide both sides by 32

32x / 32 = 320 / 32

x = 10

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100 POINTS

Find the volume of the composite solid.

A ) 1099.01 m^3

B) 104.67 m^3

C) 889.67 m^3

D) 785 m^3

Answers

Volume of a cylinder: PI x radius^2 x height

= 3.14 x 5^2 x 10 = 785 m^3

Volume of a cone: pi x radius^2 x height/3

= 3.14 x 5^2 x 4/3 = 104.67 m^3

Total volume  = 785 + 104.67 = 889.67 M63

Answer: C. 889.67 M^3

Answer:

[tex]\textsf{C)}\quad \sf 889.67\: m^3[/tex]

Step-by-step explanation:

The given composite solid is made up of a cylinder and a cone.

To find the volume of the composite solid, find the volume of the cylinder and the volume of the cone, then add them together.

Volume of a cylinder:

[tex]\sf V=\pi r^2 h[/tex]

(where r is the radius and h is the height)

Given:

r = 5 mh = 10 m

Substitute the given values into the formula and solve for V:

[tex]\begin{aligned}\implies \sf Volume\:of\:the\:cylinder & = \sf \pi (5)^2(10)\\ & = \sf 250 \pi \:\:m^3 \end{aligned}[/tex]

Volume of a cone:

[tex]\sf V=\dfrac{1}{3} \pi r^2 h[/tex]

(where r is the radius and h is the height)

Given:

r = 5 mh = 4 m

Substitute the given values into the formula and solve for V:

[tex]\begin{aligned}\implies \sf Volume\:of\:the\:cone & = \sf \dfrac{1}{3} \pi (5)^2(4)\\ & = \sf \dfrac{100}{3}\pi \:\:m^3 \end{aligned}[/tex]

Therefore, the volume of the composite solid is:

[tex]\begin{aligned}\implies \sf Volume\:of\:composite\:solid & = \sf Cylinder\:volume+Cone\:volume\\ & = \sf 250\pi + \dfrac{100}{3}\pi \\ & = \sf \dfrac{850}{3} \pi \\ & = \sf \dfrac{850}{3} \times 3.14 \\ & = \sf 889.67\:m^3\:(2\:d.p.)\end{aligned}[/tex]

Daisy's Diner offers a side dish of broccoli, apple slices, or pretzels with their kids' meals. Last weekend, they sold 1,038 kids' meals. Twice as many kids chose pretzels as chose broccoli and 3 times as many chose apple slices as chose broccoli.
How many kids chose apple slices?

Answers

519 children chose apple slices.

Possibilities

Given that Daisy's Diner offers a side dish of broccoli, apple slices, or pretzels with their kids' meals, and last weekend, they sold 1,038 kids' meals, and twice as many kids chose pretzels as chose broccoli and 3 times as many chose apple slices as chose broccoli, to determine how many kids chose apple slices, the following calculation must be performed:

1038 = 2B + B + 3B1038 = 6BB = 1038 / 6B = 173P = 173 x 2 = 346A = 173 x 3 = 519

Therefore, 519 children chose apple slices.

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Answer:519 children chose apple slices.

Step-by-step explanation:

Select the correct answer. What is the domain of y = tan (x)? ​

Answers

At 90 degrees, the tangent of x is undefinable.

What does determining the domain mean?The collection of all x-values that can cause the function to "work" and produce actual y-values is known as the domain. Keep in mind that a fraction's denominator (bottom) cannot be zero when determining the domain. The integer that comes after a square root symbol in this section needs to be positive.

The domain of y = tan (x):

y = tan(x)

Except for 90, all sets of positive real numbers fall within the domain of y = tan(x).

At 90 degrees, the tangent of x is undefinable.

Due to the exclusion of 90, all sets of positive real numbers are included in the domain of y = tan(x).

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Which equation is represented by the graph below?

A y=In x-3
B y=In x-4
C y=e^3 -3
D y=e^3 -4

Answers

Answer:

D

Step-by-step explanation:

I assume that for C and D, you meant e^x.

Since the function is defined at 0, eliminate A and B (since ln 0 is undefined)

Between C and D, we know that when x=0, e^x = 1. Since the y intercept of the graph is -3, this means the equation is y = e^x - 4.

Which is the graph of the function f(x) = 1/2x2 + 2x - 6?

Answers

Answer:i would need to see the graph but here is what i think you are talking about and it shows how to it popular-    problems  /Algebra/  262080

Step-by-step explanation:

Answer: man i wish i knew

Step-by-step explanation:

The circumference of a circle is 13π in. What is the area, in square inches? Express your answer in terms of \piπ.

Answers

The area of the circle with the given circumference is: 42.25π in.².

What is the Area and Circumference of a Circle?

Area = πr²

Circumference = 2πr.

Given the following:

Circumference of the circle = 13π in.

Find the radius (r):

2πr = 13π

Divide both sides by 2π

2πr/2π = 13π/2π

r = 13/2

r = 6.5

Area = πr² = π(6.5²) = 42.25π in.²

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Amanda makes $40,000 and gets an annual raise of $3,000. Marie makes $45,000 and gets an annual raise of $2,500. How many years will it take Amanda and Marie to make the same salary?

Answers

Answer:

Six years

Step-by-step explanation:

because it will divided the twoo digit and mutiple it self

.
A new refrigerator that normally sells for $897.00 is on sale for 15% off. If the sales tax is 7.5%, then how much will you pay in total for the refrigerator while it’s on sale?



Answers

Answer: About 830 dollars

Step-by-step explanation: find 15% off on 897 then find 7.5 percent of 897, then add them together.

How much money is borrowed if the interest rate is 9.25% simple interest and the loan is made for 3.5 years and has 904.88 interest

Answers

The amount borrowed is 2795

What is Principal?

Principal is the amount loaned or invested in a bank or a financial institution that gives a certain interest on a specific rate over a period of time.

Analysis:

P = principal = unknown

R = rate = 9.25%

T = time = 3.5 years

I  = interest = 904.88

simple interest(I) = PRT/100

P = 100I/RT

P = 100 x 904.88/3.5 x 9.25 = 2795

In conclusion, the amount borrowed is 2795.

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40.Find the difference
41&42. Find the product

Answers

Answer:

40. 398nine

41: 432six

42: 14714eight

Step-by-step explanation:

765-367=398

The 'nine' is probably confusing you

3x144=432

The 'six' is there to confuse you.

2x7357=14714

The 'eight' is again here to confuse you.

Ignore the 'six' and 'eight' and 'nine' they are making it harder for no reason

PLSSSSSSSSSSSSSSS HELP pls

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 10x + 30 = 90[/tex]

[ according to given figure ]

[tex]\qquad \sf  \dashrightarrow \: 10x = 90 - 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x = 60[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 60 \div 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 6 \degree[/tex]

Correct choice is D

What is the answer to this system of equations? 2x - 3y= 21 and -6x + 2y = 7.

Answers

answer:

x = - 9/2

y = -10

Step-by-step explanation:

make both equations look like y =

2x-3y=21 -> -3y= -2x+21 -> y = (-2x+21)/-3 -> y = 2/3x - 7

-6x + 2y = 7 -> 2y = 6x + 7 -> y = 3x + 7/2

now make the equations equal to each other (since they both equal y)

get x

2/3x - 7 = 3x + 7/2

-7 -7/2 = 3x - 2/3x

-14/2 -7/2 = 9/3x - 2/3x

-21/2 = 7/3x

(3/7) -21/2 = x

x = (3/7) -21/2

x = - 63/14

x = - 9/2

put it back in an equation to get y

y = 3x + 7/2

y = 3(-9/2) + 7/2

y = -27/2 + 7/2

y = -20/2

y = - 10

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Need stats help! Answer all questions with equations

Answers

The two kinds of formula are used in the excel . One from the data analysis the t test assuming equal variances as nothing was mentioned. But if the t test for the means is used there might be slight variation in the values.

The other formula was of descriptive statistics.

The data was

No of feedback (sec) Feedback (sec) Difference

45 54 9

33 50 17

59 58 -1

32 38 6

30 42 12

27 35 8

29 38 9

59 66 7

64 65 1

38 55 17

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

The difference t test gives

Count=N   9                  9

Mean       41.2             49.67

Mean Difference  8.4

Standard Deviation  14.967       11.97

Variance        223.944  143.25

Standard Error 2.0824

t       = -1.322

df = 16

t Critical two-tail 2.119905285

Confidence Level(95.0%) 4.802039614

Lower CI (95.0%) =  3.6

Upper CI(95.0%)=  13.2

t stat for 0.01=  4.561578674

t Critical two-tail 3.249835541

Confidence Level(99.0%) 6.055710988

Lower CI (99.0%) =  2.345

Upper CI(99.0%)=  14.457

For values between 3.6 and 13.2 we are 95% confident that there is no difference between the means of two given data values.

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

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Maritza desea ir de viaje con su familia, que está conformada por ella, su esposo y sus 3 hijos. Ella comprará pasajes cuyo costo es de S/75 por persona (sólo ida), también desea comprar un paquete turístico para cuatro personas cuyo valor es de S/800, además contrató 3 habitaciones por el precio de S/60 cada una. También se proyectó gastar en alimentación 150 diarios y una bolsa de viaje de S/130 por persona. Si su viaje es de 5 días y 4 noches y actualmente ella cuenta con S/1000 y su esposo con S/1800, ¿Cuánto dinero les falta para cubrir todos los gastos de su viaje?

Answers

El dinero que le falta a Maritza y su esposo para viajar es 330.

¿Cuánto dinero les falta?

Para calcular el dinero que les falta debemos identificar la cifra total que les va a costar el viaje:

75 x 10 = 75080060 x 3 = 180 150 x 5 = 750130 x 5 = 650

750 + 800 + 180 + 750 + 650 = 3,130

El valor total del viaje es s/3,130, entonces les faltarían s/330.

3,130 - 2,800 = 330

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Calculate the area of a rectangular field with perimeter 88 cm and length 18 cm​

Answers

The area of the rectangular field is 468cm².

Step-by-step explanation:

If, length is 18cm; width is unknown( let x represent width). Then,

Perimeter of a rectangle= Length + Width+ Length + Width

88= 18 + x + 18 + x

88= 36 + 2x

88-36 =2x

52= 2x

52/2=2x/2

26=x

•x=26cm

The width of the rectangle is 26cm.

Area of a rectangle= Length × Width

=18cm×26cm

= 468cm².

Suppose we want to choose 5 letters, without replacement, from 15 distinct letters.

Answers

[tex]order \: does \: not \:matter \\ sample \: space = 15 \: letters \\ no \: repetition\\ P(A) = 15C5 = 3003 \: ways[/tex]

Did you ever purchase a bag of M&M Peanut candies and wonder about the distribution of
the colors? A recent article reported that 30 percent of the candies are brown, 20 percent yellow,
20 percent red, 20 percent green, and 10 percent orange. A one-pound bag of M&M peanut
candies was purchased at Wal-Mart here in Lubbock. A total of 188 candies were in the bag,
with 67 brown, 22 yellow, 51 red, 24 green, and 24 orange.
Fill in the following chart on the frequency of the colors.
Color Brown Yellow Red Orange Blue Green
Observed
Frequency
Expected
Frequency
Using the information from our sample bag, determine if our bag’s distribution matches the
advertised distribution. Use an alpha = 0.05.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
3. What distribution are you using?
4. What test are you running?
5. What is the critical value?
6. What is your test value?
7. What is your conclusion?

Answers

The null hypothesis is that the proportions are 0.30, 0.20, 0.20, 0.20, 0.10 and the alternative hypothesis is that the proportions are not as given above.

How to illustrate the information?

It should be noted that the null hypothesis is the theory that states that there is no statistical relationship between the variables.

In this case, the Chi square test can be run to get the desired information. Therefore, X² was gotten as 19.597. The degree of freedom is 4 and the p value is 0.0006 from the distribution table.

In this case, the critical value of 0.006 is less than the 0.05. Therefore, we need to reject the null hypothesis.

This implies that there's evidence that the distribution doesn't correlate with what we've.

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A bank charges 12% simple interest p.a. on a cash loans for R10 000,must repay the loan over 4 years.

Calculate the interest which is gonna be paid to the loan?

Answers

Answer:

$4800

Step-by-step explanation:

Let's use the simple interest formula, P(1+rt), to find the final amount of the loan

10000(1+.12*4) = 14800, the final amount

14800 - 10000 = 4800 total in interest

f(x)=√x+11. Find the inverse of f(x).

Answers

Answer:

f(x)⁻¹ = (x - 11)²

Step-by-step explanation:

To find the inverse of the function, you need to (1) swap the places of the "x" and "y" variables and then (2) solve for "y". Remember, f(x) is another way of writing "y".

y = √x + 11                                        <----- Original equation

x = √y + 11                                        <----- Swap variables

x - 11 = √y                                         <----- Subtract 11 from both sides

(x - 11)² = (√y)²                                  <----- Square both sides

(x - 11)² = y                                        <----- Simplify

Another way of writing the output of an inverse function is with f(x)⁻¹.

a using the strategy to determine the area of the large rectangle
b explain how this strategy relates to the binomial multiplication
c focused on multiplying two binomials, explain a strategy that can be used to multiply any two polynomials

Answers

The area of the large rectangle by using the strategy is; 168cm².

What is the area of tge large rectangle?

The area of the rectangle can be determined by multiplying the length and width of the rectangle as follows;

Area = Length × width

Area = (10cm + 4cm) × (10cm × 2cm)

Area = (100+20+40+8)cm²

Area = 168 cm².

The strategy used above entails that the two binomials used to represent the length and width of the rectangle are multiplied according to binomial multiplication.

The strategy is that each term of the first binomials is used to multiply the terms in the second polynomial and the aggregate result of the multiplications is determined.

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A(4,3) B(1/2, 1/5) C( 3/4, 7/4). Which point lies on the circumstance of the unit circle?

Answers

None of the three points (A, B, C) lies on the circumference of the unit circle.

What point is in the circumference of an unit circle?

Unit circles are circles centered at the origin and with a radius of 1. A point is on the circumference if and only if the distance of the point respect to the origin is equal to 1. The distance of each point is determine by Pythagorean theorem:

Point A

[tex]d = \sqrt{4^{2}+3^{2}}[/tex]

d = 5

Point B

[tex]d = \sqrt{\left(\frac{1}{2} \right)^{2}+\left(\frac{1}{5}\right)^{2} }[/tex]

d = √29 /10

d ≈ 0.539

Point C

[tex]d = \sqrt{\left(\frac{3}{4} \right)^{2}+\left(\frac{7}{4} \right)^{2}}[/tex]

d = √58 /4

d ≈ 1.904

None of the three points (A, B, C) lies on the circumference of the unit circle.

Remark

The statement presents a typing mistake, correct form is shown below:

A(x, y) = (4, 3), B(x, y) = (1/2, 1/5), C(x, y) = (3/4, 7/4). Which point lies on the circumference of the unit circle?

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find each lettered angle

Answers

Answer:

a = 103°

b = 103°

c = 97°

d = 83°

e = 154°

Please help


The mean length of 7 childrens' index finger is 7.8cm.
The mean length of 7 adults' index finger is 17.7cm.
What is the mean length (rounded to 2 DP) of these 14 people's index finger?

Answers

The combined mean of the 14 people's index finger is: 12.75 cm.

How to Find the Combined Mean?

Combined mean = [(mean of first group × number of data of the first group) + (mean of second group × number of data of the second group)] ÷ (number of data of the first group + number of data of the second group).

Given the following:

Mean of first group = 7.8

Number of data of the first group = 7

Mean of second group = 17.7

Number of data of the second group = 7

Combined mean = [(7.8 × 7) + (17.7 × 7)] / (7 + 7)

Combined mean = 178.5 / 14

Combined mean = 12.75 cm.

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Compute without a calculator:
$$(72\cdot 78\cdot 85\cdot 90\cdot 98)\div (68\cdot 84\cdot 91\cdot 108).$$
(There's an easier way than multiplying out the giant products $72\cdot 78\cdot 85\cdot 90\cdot 98$ and $68\cdot 84\cdot 91\cdot 108$!)

Answers

Take the prime factorization of each factor in the product.

[tex]\dfrac{72 \times 78 \times 85 \times 90 \times98}{68 \times 84 \times 91 \times 108} \\\\ ~~~~~~~~ = \dfrac{(2^3\times3^2)\times(2\times3\times13)\times(5\times17)\times(2\times3^2\times5)\times(2\times7^2)}{(2^2\times17)\times(2^2\times3\times7)\times(7\times13)\times(2^2\times3^3)} \\\\ ~~~~~~~~ = \dfrac{2^6 \times 3^5 \times 5^2 \times 7^2 \times 13 \times 17}{2^6 \times 3^4 \times 7^2 \times 13 \times 17} \\\\ ~~~~~~~~ = 3 \times 5^2 = \boxed{75}[/tex]

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