(Multiple choice question) As a town geta mater, the population of its high school decreases by 123. each year. The student body has 125 students now. In how many years will have about 75 students? Use the
equation 75 - 125/088)" to solve the problem Round to the nearest year

2 years

4 years

1 year

3 years

The cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given the cost of operating the marketing Department for March is $19,000. The total area of operation is,

Total Area = Department A + Department B + Department C + Department D

Total Area = 1400 m² + 820 m² + 560 m² + 390 m² = 3,170 m²

Now, the cost of operating a unit area can be determined as,

Cost of operating = $19,000/3,170m² = $5.99369 per m²

Further the cost of operating the different departments are,

Department A = 1400m²×$5.99 = $8,391.17

Department B = 820m²×$5.99 = $4,914.83

Department C = 560m²×$5.99 = $3,356.47

Department D = 390m² × $5.99 = $2,337.53

Hence, the cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.

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Answer:

-33

Step-by-step explanation:

The sequence is descending so the nth term would be -10n and the 0 term would be 27 so the nth term for the sequence would be -10n +27.

The question asks you to find the 6th term so (-10 x 6) + 27 = -60 + 27 = -33

Answer: I dont know

Step-by-step explanation:  i need more information

The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

In this question we understand that the area of the compound shape is the sum of the area of small rectangles and triangles:

[tex]A = \sum \limits^{n}_{i = 1} A_{i}[/tex]     (1)

Now we proceed to calculate the area of the compound shape:

A = 0.5 · (4 km) · (3 km) + (10 km) · (2 km) + (17 km) · (7 km) + (2 km) · (6 km)

A = 157 km²

The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

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Answer:

40 degrees.

Step-by-step explanation:

< 4 = < 1 = 40 degrees

( as they are vertical  ( opposite) angles)

( US = vertical, UK = opposite)

Answer:

m∠4 = 40°

Step-by-step explanation:

we notice that ∠1 and ∠4 are two Vertically opposite angles which means they are equal to each other then m∠4 = m∠1 = 40°

Answer:

[tex]y=\frac{9\sqrt{2} }{2}[/tex] and x=9

Step-by-step explanation:

We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.

[tex]y=\frac{9\sqrt{2} }{2}[/tex]

To solve for x use Pythagorean Theorem.

a^2 + b^2 = c^2.

[tex]\frac{9\sqrt{2} }{2} +\frac{9\sqrt{2} }{2}=x^2\\\\\frac{81}{2} +\frac{81}{2} =x^2\\\\\frac{162}{2} =x^2\\\\x=\sqrt{\frac{162}{2} } =\sqrt{81} =9\\\\x=9[/tex]

Answer:

13.01d - 2.65

Step-by-step explanation:

3.26d + 9.75d − 2.65

combine like terms

3.26d + 9.75d = 13.01d

nothing further can be done, recombine

13.01d - 2.65

there isn’t an image provided I can’t help unless you give an image

Answer:

The distance is 1.41 to nearest hundredth.

Step-by-step explanation:

The line y = x + 3 passes through the point (0, 3) on the yaxis.

Find the perpendicular line passing through this point:

y  - 3 = -1(x + 0)

y = -x + 3

Now find the point where this line intersects the line y = x + 1:

y = -x + 3

y = x + 1

-x + 3 = x  + 1

3 -1 = x + x

2x = 2

x = 1

and y = 2

So this point is (1, 2)

We require the distance between this point and (0, 3)

This = √((3-2)^2 + (0-1)^2) = √2

= 1.4142

Answer:

a) 5m b) 53°

Step-by-step explanation:

a) √Bc²+AB²

=√4²+3²

=√16+9

=√25 =5m

b) tan θ =BC/AB

tanθ =4/3

so tan θ=53°

Answer:

The circumstances of the circle is six

Step-by-step explanation:

3×2=2

Answer:

its C

Step-by-step explanation:

Answer:

The two formats used in an observation checklist are:

B. Performance profiles and Tallies

C. Tallies and video recording

D. Performance profiles and SMART Targets

#CarryOnLearning

Answer:

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

Answer:

adding equal no. to both sides of the equation

The expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have expression:

= 8 × 35  ⇒ 280

A. 8 × (30 + 5) ⇒ 280

B. 5 + 3 × 35 ⇒ 110

C. (8 × 30) + (8 × 5) ⇒ 280

D. (8 + 30) × (8 + 5) ⇒ 494

E. 8 × (20 + 15) ⇒ 280

Thus, the expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.

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The recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The given parameters are:

The number of plants in month n is calculated using:

Tn = Tn-1 * (1 + 200%)

This gives

Tn = 3Tn-1

Hence, the recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

This means that n = 1, 2, 3

When n = 1, we have:

T1 = 3To = 3 * 10 = 30

When n = 2, we have:

T2 = 3T1 = 3 * 30 = 90

90 is greater than the maximum number of plant the backyard can contain

Hence, the number of plants after 1 month is 30 and the plants in the backyard would exceed 50 plants before the end of the 2 months

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Answer:

Step-by-step explanation:

(a)

(b)

(c)

(d)

(e)

The cardinal number of the given sets are:

As a general rule, the cardinal number of a set is the number of distinct elements in the set

Using the above definition the cardinal number of the given sets are:

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Answer:

The ladder is 9.54m (√91) tall

Step-by-step explanation:

(the blue triangle is all you would need to draw and the work in yellow)

Answer and Step-by-step explanation:

Hey there!

To finish the function table, all you need to do is plug in the x value into the function, which in this case is g(x)=2x+2

*Remember, the "x-value" is the input and the "y-value" is the output*

The first input is -5

2(-5)+2

-10+2

g(x) = -8

The second input is -1

2(-1)+2

-2+2

g(x) = 0

The third input is 1

2(1)+2

2+2

g(x) = 4

The fourth input is 4

2(4)+2

8+2

g(x) = 10

The fifth input is 5

2(5)+2

10+2

g(5) = 12

Answer:

see below

Step-by-step explanation:

g(x) = 2x+2

Let x = -5     g(-5) = 2(-5) +2 = -10+2 = -8

Let x = -1     g(-1) = 2(-1) +2  = -2 +2 = 0

Let x = 1      g(1) = 2(1) +2  = 2+2 = 4

Let x=(4)   g(4) = 2(4) +2 = 8+2 = 10

Let x = 5  g(5) = 2(5) +2 = 10+2 = 12

The changes in Z would be = 6.1× 10^-4.

Z = Sin (x³ +y³)

Where X = 0.3

y = 0.2

Z= Sin ( 0.3³ + 0.2³)

Z= Sin ( 0.027 + 0.008)

Z= Sin ( 0.035)

Z= 6.1× 10^-4

Therefore, the changes in Z would be = 6.1× 10^-4.

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Answer:

Rotations

Transformations

Reflections

Answer:

[tex]\sf 207 \ cm^2[/tex]

Step-by-step explanation:

 diameter = 6 cm

             r = 6/2  = 3 cm

            h = 8 cm

         [tex]\sf \boxed{\text{\bf Surface area of cylinder = $2\pi r(h +r)$}}[/tex]

                                                      [tex]\sf = 2*3.14*3 * (3 +8)\\\\ = 2*3.14* 3 * 11\\\\= 207.24\\\\= 207 \ cm^2[/tex]

Answer: AA similarity posulate

Step-by-step explanation:

In ΔAJM and ΔAPB,

∠PAB = ∠JAM,

Also, since PB || JM, the corresponding angles formed by these two parallel lines with the line AJ are equal i.e.

∠AJM = ∠APB

So, using the AA similarity postulate, we can say that ΔAJM is similar to ΔAPB

Answer:

calculator soup can help just search what you're learning into g o o g l e and add calculator at the finish have a nice day

To solve this problem, we have to use combination which is a topic in statistics and it deals with the number of ways or arrangement in which and event can occur. the local dry cleaner can make them fill the roles in 210 ways.

In the given question, we have 10 candidates and 4 positions to be filled.

Data;

[tex]^1^0C_4 = 210[/tex]

From the calculation above, the local dry cleaner can make them fill the roles in 210 ways.

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Step-by-step explanation:

the area of a circle is

pi×r²

that is for the whole circle, which is the same as 360 degree arc.

now that we have only 254 out of the total of 360 degrees, the sector area is

pi×r² × 254/360

pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =

= 179.5420202... cm²

rounding to 1/10 is 180.0 cm².

so, it is actually D - none of the above.

Answer:

D. none of the above

Step-by-step explanation:

the area of a circle is

pi×r²

that is for the whole circle, which is the same as 360 degree arc.

now that we have only 254 out of the total of 360 degrees, the sector area is

pi×r² × 254/360

pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =

= 179.5420202... cm²

rounding to 1/10 is 180.0 cm².

so, it is actually D - none of the above.

Answer:

q = 5

Step-by-step explanation:

5 less than 3q is 10.

∴ 3q - 5 = 10

     3q = 15

       q = 5

Hope this helps!