The library has allotted $480 for spring landscaping and has decided
to spend the money on flowering bushes. There is room to plant a total
of 36 bushes. Rose bushes cost $25 each and lavender bushes cost $5
each.
a. (2 PTS) Define your variables.
b. (3 PTS) Write an equation to represent the total number of bushes you
can purchase.
c. (3 PTS) Write an equation to represent the total cost of the bushes.
d. (3 PTS) How many of each type of bush should you purchase?

9514 1404 393

Answer:

  1. 5000

  2. the year is 2003

  3. > 1000; evaluate the function

Step-by-step explanation:

1. The value of t is "years since 2005." In 2005, the value of t is zero. To find the model's prediction for 2005, substitute t=0.

  p = 5000·2^0 = 5000·1

  p = 5000 . . . . in 2005

__

2. When t=-2, it means you're concerned with the population 2 years before 2005. That is, you are modeling the population in 2003.

__

3. Evaluate the function for t=-2:

  p = 5000·2^(-2) = 5000·1/4 = 1250

For t=-2, the fish population is 1250, which is more than 1000.

exterior angle

then

Answer:

90 degrees

Step-by-step explanation:

The angle is a right angle, because its straight up. A right angle is always 90 degrees.

Answer:

5:47

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(3^5)^2= 59049 divided

(3)^-2 = 0.11111111

531441 = 3^12

Answer:

yes

Step-by-step explanation:

Answer:

.......

Step-by-step explanation:

Answer:

A = 642.01

Step-by-step explanation:

Given:

P = 500

r = 2.5% or 0.025

t = 10

Work:

[tex]A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01[/tex]

Answer:

Um we can’t see anything it’s just white

Step-by-step explanation:

Answer:

3x +2 =5

and m(x) was x=5 ,= m= -4

Answer:

d

Step-by-step explanation:

only reasonable answer

9514 1404 393

Answer:

  11 and 12

Step-by-step explanation:

√123 ≈ 11.0905 lies between 11 and 12.

__

Since you're familiar with your squares, you know ...

  11^2 = 121

  12^2 = 144

123 lies between 121 and 144, so √123 lies between 11 and 12.

Answer:

Expanded Notation Form:

 91,360 =

 90,000  

+ 1,000  

+ 300  

+ 60  

+ 0  

Expanded Factors Form:

   91,360 =

 9 × 10,000  

+ 1 × 1,000  

+ 3 × 100  

+ 6 × 10  

+ 0 × 1  

Expanded Exponential Form:

 91,360 =

9 × 104

+ 1 × 103

+ 3 × 102

+ 6 × 101

+ 0 × 100

Word Form:

91,360 =

ninety-one thousand three hundred sixty

Hope this helps! mark me as brainliest if possible, you dont have too!

Step-by-step explanation:

Answer:

A = 48°

b = 13.5

c = 20.2

Step-by-step explanation:

✔️A = 180° - (90° + 42°) (sum of triangle)

A = 48°

✔️To find b and c, apply trigonometric function.

Reference angle = 42°

Opposite = b

Hypotenuse = c

Adjacent = 15

✅Apply TOA to find b:

Tan 42 = Opp/Adj

Tan 42 = b/15

15 × Tan 42 = b

13.5060607 = b

b = 13.5 (nearest tenth)

✅Apply CAH to find c:

Cos 42 = Adj/Hyp

Cos 42 = 15/c

c × Cos 42 = 15

c = 15/Cos 42

c = 20.1844909

c = 20.2 (nearest tenth)

Answer:

The correct answer is 192pi

Step-by-step explanation:

I took the test and this was the correst answer

Composite shapes are made up of two or more shapes. The required volume of the composite shape in exact form is 498π cubic feet

Composite shapes are made up of two or more shapes. According to the given question, the buoy is made up of a cone and sphere.

The volume of the buoy = volume of sphere + volume of the cone

Find the volume of the sphere

Vs = 4/3πr³
Vs = 4/3π(6)³
Vs = 288π cubic feet

Find the volume of the cone

Vc = 1/3πr²h
Vc = 1/3π(6)²(10)
Vc = 120π cubic feet

Volume of the buoy =  288π + 120π
V = 498π cubic feet

Therefore the required volume of the buoy in exact form is 498π cubic feet

Learn more on volume of composite shape here: https://brainly.com/question/12693294

Answer:

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

Answer:

1 4/5 meters

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

Answer:

that's the quadratic formula:)

Step-by-step explanation:

Answer:

12.5%*7=87.5%

4000*7=28000

28000

Answer:

28,000

Step-by-step explanation:

Since 4,000 is 12.5%, you can divide 87.5/12.5 to see how many times 12.5 goes into 87.5, which is 7 times. so then since you need to find the value of how much 87.5% is, then you can multiply 4,000 by 7 since 7 is 87.5 percent, leaving us with 28000

Answer:

180 cm^2

Step-by-step explanation:

Remark

If you put the slices that have been removed back into the figure, and figure out the resulting rectangle and subtract the slices, you get an answer that is easily calculated.

Note

The square on the upper right is 6 cm high. That makes the width of the rectangle 9 + 6 =  15. The length is already known as 15. So this square is 15 by 15 = 225

The lower right triangle is a little harder to handle. The total width is 15. The height of the triangle is 6 + 6. The first 6 comes from the square that was removed. The total with is 15. So the height of the lower right triangle is 15 - 12 = 3

Answer

The answer to the square on the upper left that was removed = 6*6 = 36

The answer to the triangle on the lower right is 1/2 * 6 * 3 =                    9

The total of the removed figues is 36 + 9 =                                              45

The area of the figure with both figures removed is 225 - 45 = 180 cm^2

Answer:

a) CI = ( - 0,0087 ; 0,0355)

b) No CI contains 0 meaning that statistically the proportions could be equal

Step-by-step explanation:

Boys Sample

Size sample   n₁  = 546

x₁ = 87

proportion   p₁  = 87/546     p₁ = 0,159       p₁  =  15,9 %

Girls sample

Size sample   n₂  = 508

x₂ = 74

proportion  p₂  =  74 / 508     p₂ = 0,1456   p₂  = 14,56 %

Hypothesis test:

Null hypothesis                    H₀              p₁  =  p₂

Alternative Hypothesis       Hₐ              p₁  ≠  p₂

Confidence Interval  CI = 90 %   significance level  α = 10 %

α = 0,1    and as the alñternative hypothesis indicates is a two-tail test

then α/2 = 0,05

z(score)  for 0,05 is from z table   z(c) = 1,64

Confidence Interval 90 % is:

CI = [( p₁ - p₂) ± z(c) *  √ p*q * ( 1/n₁  +  1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527      then   q = 1 - 0,1527    q = 0,8473

CI = 0,0134 ± √ 0,1527*0,8473 ( 1/546   + 1 / 508 )

CI = 0,0134 ± 0,0221

CI = ( - 0,0087 ; 0,0355)

CI  contains  0 meaning that difference between the groups could be 0

Therefore we can conclude that  proportion on both groups are different. We can´t reject H₀

We need to calculate z(s)

z(s) = [ p₁ - p₂ ] / √ p*q * ( 1/n₁  +  1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527      then   q = 1 - 0,1527    q = 0,8473

z(s) = [ 0,159 - 0,1456] / √ 0,1527*0,8473 ( 1/546   + 1 / 508 )

z(s) = 0,0134/ √0,1294 ( 0,0018 + 0,00196 )

z(s) = 0,0134/ √0,1294 ( 0,0038)

z(s) = 0,0134/ 0,0221

z(s) = 0,61

p-value for  z(s) = 0,61      p-value = 0,7291

p-value > 0,05

As p-value is bigger than 0,05 we have to accept H₀. We don´t have enough evidence to claim any difference between the two groups

Answer:

76

Step-by-step explanation:

I rewrote the question so I wouldn't have to keep going back to the picture.

A poll asked 1000 adults who own smartphones where they put their smartphone while sleeping. The following two-way table of relative frequencies shows the data collected on age and smartphone habits. Of the adults polled, 200 were 65 or older.

How many of the adults polled that were 65 or older sleep with their smartphone within reach?

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

I bet if I called this a two- way table of "percentages, written as decimals", it would make more sense.

Total number of adults 65 and older = 200. The 0.38 of them that sleep with their phone in reach = 38% of them. Multiply 200 x 0.38 = 76

To check the math, 200 x 0.62 = 124, and 124 + 76 = 200.

As always, please let me know if you have questions. I've answered each of your open questions as of now (11am CDT, USA)

Answer:

$2,500

Step-by-step explanation:

I = Prt

Given:

P = 5000

r = 0.05

t = 10

Work:

I = Prt

I = (5000)(0.05)(10)

I = 250(10)

I = 2500

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Let's simplify step-by-step.

x ^ 2 + 18 + 81 <3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Combine Like Terms:

= x ^ 2 + 18 + 81

= ( x ^ 2 ) + ( 18 + 81 )

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Step-by-step explanation:

Area of parallelogram = base * height

                                      = 6 * 8

                                      = 48 square units

Answer:

Area = Base × Height

Area = 6 × 8

Area = 48 units²

[tex] \\ [/tex]

Answer:

100 for the square

217.81 for the entire firgue

Step-by-step explanation:

For the square it's bh so do that formula

A = 10x10

A = 100

then for the semicircles that's half of a circle do the area of a circle formula and then multiply by half

A = 3.14×25

A = 78.54×0.5

A = 39.27

since we have 3 of them we are going multiply that by 3.

39.27 × 3 = 117.81

then we add them all up

117.81 + 100 = 217.81

Answer: b=2(square root of 2) and a=4

Step-by-step explanation:

Since this is a 45-45-90 triangle we know that side b is equal to [tex]b=2\sqrt{2}[/tex].

In a 45-45-90 triangle, the hypotenuse is equal to [tex]x\sqrt{2}[/tex] this means in order to find missing side length a, we have to multiply [tex](2\sqrt{2})(\sqrt{2})[/tex] this will give us 4

so the missing side lengths are, [tex]b=2\sqrt{2}[/tex] and [tex]a=4[/tex]

Answer: B = 2 (Square root of 2) A = 4

Explanation: This is an isosceles triangle so the legs will be the same. To get the hypotenuse I simply just multiplied one leg by the square root of 2 and two square roots of the same number multiply the whole number by whatever number is in the square root (so in this case it's multiplying 2 by 2)

Answer:

The second one by 4 dollars

Step-by-step explanation:

Find the difference

Answer:

49.34 i think

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

the correct answer 24 i looked it up