An animal shelter relies on
donations and adoption fees of
$75 per pet to pay its monthly
expenses of $2800. One month 12
pets are adopted. Which inequality
describes the donations, x,
required for the shelter?

Answer:

x = -32/3

y =28/3

Step-by-step explanation:

2x + 4y = 16

-5x-4y = 16

Add the equations

2x + 4y = 16

-5x-4y = 16

--------------------

-3x = 32

Divide each side by -3

x = -32/3

Now solve for y

2x+4y = 16

2(-32/3) +4y = 16

-64/3 +4y = 16

Multiply each side by 3 to get rid of the fractions

-64 +3*4y = 16*3

-64 + 12y = 48

Add 64 to each side

12y = 112

Divide by 12

12y/12 = 112/12

y =28/3

Answer:

40 cm

Step-by-step explanation:

In the right triangle PNO:

By definition:

cos(β) = adjacent/hypotenuse

Replacing with data and solving for NO:

cos(∠O) = NO/PO

2/5 = NO/100

NO = (2/5)*100

NO = 40

HI!!! I just finished the unit 7 lesson 11 unit test!! Here are the answers: :)

1. A: 2

2. C: 225

3. C: pi/4

4. A: -465

5. C: 0

6. B: 210

7. B: 2pi

8. A: 52

9. C: 40

10. C: 3rd graph

11. A: y=sin pi/265

12. B: 1/4pi

13. D: y=3cos2

14. A: sqrt3/3

15. C: 0

16. C: 3rd graph

17. A: 187

18. C: sqrt2/2

19. B: 1+sin theta

20. D: 45

21. D: 0.64

22. A:80

23. C: pi/2, 5pi/4, 3pi/2, 7pi/4

24. C: csc theta =13/12, sec theta= 13/5

hope this helps someone :)))

Answer:

Step-by-step explanation:

the answer is 15!

The square root of the number -√75 will be -3√5.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The square root of the number will be calculated as below:-

-√75 = - √( 3 x 3 x 5 )

        = -3√5

Therefore, the square root of the number -√75 will be -3√5.

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Answer:

20x

Step-by-step explanation:

Step-by-step explanation:

The ? is 4 * 5x which is 20x.

Answer:

The answer is 1846.32 units³.

Step-by-step explanation:

Given that the base of a cone is a circle so the area of circle is A = πr². You have to substitute the following values into the formula :

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Let π = 3.14,

Let r = 14,

Let h = 9,

[tex]v = \frac{1}{3} \times 3.14 \times {14}^{2} \times 9[/tex]

[tex]v = 1846.32 \: {units}^{3} [/tex]

Answer:

1, 13, 5 are correct

Step-by-step explanation:

Answer: A,B,D,F are correct

Step-by-step explanation:

Answer:

The answer is explained below

Step-by-step explanation:

This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.

Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes

Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes

All together, they caught 25 fish

Therefore it can be represented by the equation:

x + x + y + 3y = 25

2x + 4y = 25

2x = 25 - 4y

x = (25 - 4y)/2

The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son

Answer:

First Part is C

The second part is 0,2,4

Step-by-step explanation:

Edge said so

The graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The expression is [tex]-3x-3\leq 6[/tex].

The graph below shows the inequality of the expression.

The solution of the expression is

[tex]-3x-3\leq 6[/tex]

⇒ [tex]-3x\leq 6+3[/tex]

⇒ [tex]-3x\leq 9[/tex]

Divide both sides by -3. Then the inequality will also get changed.

⇒ [tex]\frac{-3}{-3}x\geq \frac{9}{-3}[/tex]

⇒ [tex]x\geq -3[/tex]

Hence we can conclude that the graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.

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Answer:

Yes, they are similar. The scale factor is 5/3

Step-by-step explanation:

The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK

The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR

If the two quadrilaterals are similar, the following proportion must be satisfied:

JM = k*QP

ML = k*PS

KJ = k*RQ

LK  = k*SR

where k is the scale factor. Solving for k and replacing with lengths:

k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3

From the figure, we can also see that:

∠M ≅ ∠P

∠L ≅ ∠S

∠R ≅ ∠K

∠Q ≅ ∠J

Therefore, the two quadrilaterals are similar.

Answer:

-x (2 x - 5) (3 x + 2)

Step-by-step explanation:

Factor the following:

-6 x^3 + 11 x^2 + 10 x

Factor -x out of -6 x^3 + 11 x^2 + 10 x:

-x (6 x^2 - 11 x - 10)

Factor the quadratic 6 x^2 - 11 x - 10. The coefficient of x^2 is 6 and the constant term is -10. The product of 6 and -10 is -60. The factors of -60 which sum to -11 are 4 and -15. So 6 x^2 - 11 x - 10 = 6 x^2 - 15 x + 4 x - 10 = 2 x (3 x + 2) - 5 (3 x + 2):

-x 2 x (3 x + 2) - 5 (3 x + 2)

Factor 3 x + 2 from 2 x (3 x + 2) - 5 (3 x + 2):

Answer:  -x (2 x - 5) (3 x + 2)

Answer:

-48 ÷ 12

Step-by-step explanation:

account balance changed over a year = -$48

In a year, there are 12 months. Above statement can also be written as

account balance changed in 12 months = -$48

we have to find monthly change, so we divide LHS and RHS by 12

account balance changed in 12 /12 months = -$48/12

Thus, account balance changed in 1 months = -$48/12

which is represented  option 4 i.e -48 ÷ 12

Answer:

y=x-5

Step-by-step explanation:

transformations from parent function:

down 5 units

Answer:

y=x-5

Step-by-step explanation:

slope=rise/run=5/5=1

y -intercept=-5

y=x-5

Answer: -920

Step-by-step explanation:

-447 - 473 = -920

In this case, smaller means more negative

Answer:

-920

Explanation:

To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:

-447 - 473

- (447 + 473)

-920

Therefore, the new dot was on -920.

Answer:

x = 2

Step-by-step explanation:

[tex]14x = 28\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{28}{14}\\Simplify\\x=2[/tex]

Answer:

She uses 7.5 feet of twine to make 3 bundles of wood.

Answer: it is a parallelogram

Step-by-step explanation:

the coordinates form a parallelogram as you can see on the grid.

the shapes edges are joined together to form a parallelogram

there you go

Answer:

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Step-by-step explanation:

Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:

PA + PB = 2a

PA = 2a - PB

PA² = 4a² + PB² – 4a ∙ PB

PA² – PB² = 4a² – 4a ∙ PB

[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB

-4hc = 4a² – 4a∙PB

a ∙ PB = a² + hc

Taking square

a² ∙ PB² = (a² + hc)²

a² [(h + c)² + (k - 0)²] = (a² + hc)²

a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²

a²h² – h²c² + a²k² = a⁴ – a²c²

(a² – c²)h² + a²k² = a² (a² – c²)

h²/a² + k²/(a² – c²) = 1

Therefore, the required equation to the locus of P is

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Answer:

(4, -0.6)

Step-by-step explanation:

The table is:

x       Given      Predicted     Residual value

1         -1.6              -1.2                  0.4

2          2.2             1.5                   0.7

3          4.5             4.7                  -0.2

4          6.1              6.7                  -0.6

The points on the residual plot must be the pairs (x, residual value). This is:

(1, 0.4)

(2, 0.7)

(3, -0.2)

(4, -0.6)

Thus, the correct choice is the last one: (4, -0.6)

The point that would be on the residual plot of the data is (4, -0.6). See the explanation below.

A residual plot is a graph in which the residuals are displayed on the vertical axis and the explanatory variables is displayed on the horizontal axis.

From the analysis of the table attached, we have the following points on the residual plot:

(1, 0.4)

(2, 0.7)

(3, -0.2)

(4, -0.6)

Point on the residual plot must include the point on x and a residual value, hence, the correct answer is (4, -0.6).

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2/7*3/8>3/8 because 2/7>1

Answer:

58

Step-by-step explanation:

since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)

then just use 180 minus the two angles and you will get x

yo hice el examen y la tuve mal pero me dijo cual era la correcta y es (30,38)

I do the exam and I heve it wrong but the exam put what was the correct answer and it is (30,38)

option B

Equation of Linear Regression line is

y=1.14 x + 3.805

so, (30,38)  is an approximate extrapolation for x = 30 from the line of best fit.

A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.

here, we have,

A line of best fit is drawn for the set of points shown on the graph.

from the given information,

we get,

for, x=30

y=1.14 × 30 +3.805

y=34.20 +3.805

y=38.005

y=38 (approx)

Equation of Linear Regression line is

y=1.14 x + 3.805

so, (30,38)  is an approximate extrapolation for x = 30 from the line of best fit.

So, Ordered pair is , (30,38)

Option B

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Answer:

B

Step-by-step explanation:

> = greater than

= this means equal to

< = less than

[tex]\frac{8}{13} =\frac{8}{13}[/tex]

Answer:

C. 20

Step-by-step explanation:

105 + 9.5x = 14.75x

105 = 5.25x

20 = x

Answer:

I got - 5 as an answer.

I don't think I made a mistake.

Please if you find any error, contact me in the comment section.

Step-by-step explanation:

[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]

Answer:

Step-by-step explanation:

A: Take 8*6 which build a rectangle, then take out 2*3 squares to create the same shape as in the picture

B: split the shape into two pieces, so one rectangle has the sides 4 and 8 and the rectangle has 2 and 5. Multiply the 4 with 8 and 2with 5 then add them together

C: Add the amount of squares in a layer one by one together

D: split the shape into 2 rectangles but instead of a horizontal split, do a vertical split so first rectangle has the sides 5 and 6 and the other has 3 and 4. Multiply 5 with 6 and 3 with 4 and add both results together

you may have to change the english a bit since english is not my first language

Answer:

Step-by-step explanation:

Given that:

The investment amount in account = $ 320

The rate of interest is = 8.1% compounded quarterly

Compunded quarterly means  8.1% / 4  = 0.02025

The time period = t years

The objective is to write a function showing the value of the account after t years.

From compound interest , compounded monthly.

[tex]Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}[/tex]

[tex]= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}[/tex]

[tex]= 320*(1+ 1.6875*10^{-5})^{12t}[/tex]

[tex]= 320 * ( 1.000016875)^{12t}[/tex]

Thus; the function after t years [tex]= $320 * ( 1.000016875)^{12t}[/tex]

The percentage of growth per year is :

= (1 + 0.02025)^4 - 1

= 1.083493758 - 1

= 0.083493758

= 8.4 % (APY) yearly

Answer:

1/6 x 1/6 = 1/36

Step-by-step explanation:

We have to multiply as the odds get smaller as in every experimental probability being from experimental one dice and then trying to achieve that number alongside and same timing another number on an inclusive 2nd dice.

Answer:

Σ-47-15)

Step-by-step explanation:

Option D is correct, the summation formula that represents the series is Σ(n-4) for n=1 to 4.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

A series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity.

The series can be written as:

13 + 9 + 5 + 1 = (4×3 + 1) + (4×2 + 1) + (4×1 + 1) + (4×0 + 1)

= (4×(3-1) + 1) + (4×(2-1) + 1) + (4×(1-1) + 1) + (4×(0-1) + 1)

= Σ(n-4) from n=1 to 4

Therefore, the summation formula that represents the series is Σ(n-4).

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