What single decimal multiplier would you use to increase by 4% followed by a 3% increase

Answer: 6.072

Step-by-step explanation:

Rounding to three significant figures means you takes the first three "spots" after the decimal point, going in order of  tenths, hundredths, thousandths, ten-thousandths, and so on from left to right. Therefore, the 9 in the 4th spot rounds it to 6.072!

Answer:

the answer is =6.07 to 3 significant figures

Answer:

solution,

a. Percentage of boys who have school dinners:

[tex] \frac{6}{10} \times 100 \\ = 60 \: percent[/tex]

b.percentage of pupils who have school dinners:

[tex] \frac{13}{20} \times 100 \\ = 65 \: percent[/tex]

hope this helps....

Good luck on your assignment...

Answer:

Let's solve the inequality.

5 > 2p + 1

4 > 2p

2 > p

Some answers are p = 1, p = 0, p = -1, etc.

Answer:

The diagram to the left is not a dilation

Step-by-step explanation:

If the diagram to the left is a dilation, then AB // A'B'.

Applying Thales theorem: PA/PA' = PB/PB'.

Or 2/(2+4) = 3(3+5)

Or 2/6 = 3/8, this is incorrect

=> AB and A'B' are not parallel. As a result, the diagram is not a dilation.

Hope this helps!

Answer:

70 degrees

Step-by-step explanation:

Answer:

70 that my answer and so they can reach

Answer:

b) [tex]x^2 + 6x + 8[/tex]

Step-by-step explanation:

Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.

Deje que la longitud y el ancho de la habitación antes de la expansión sean x.

La nueva longitud de la sala es (x + 4).

El nuevo ancho de la sala es (x + 2).

La nueva área de la sala será:

[tex](x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\[/tex]

Esa es la nueva área de la habitación.

Answer:

The area of the triangle is:

[tex]Area=8\, \,units^2[/tex]

Step-by-step explanation:

Recall that the area of any triangle is defined as the product of the triangle's base times the triangle's height, divided by two:

[tex]Area_{triangle}=\frac{base\,*\,height}{2}[/tex]

therefore, in our case, notice that the length of the triangle's base is 4 units (from x = 0 to x = 4), and the triangle's height is also 4 units (from y = -5 to y = -1)

Then the triangle's area becomes:

[tex]Area=\frac{4base\,*\,4}{2} =8\, \,units^2[/tex]

0,-2 is the following image of A after rotation

Answer: A. $754.10

Step-by-step explanation:

$320.00 + $486.88 = $806.88

$1,560.98 - $806.88 = $754.10

Answer:

A

Step-by-step explanation:

edge 2021 :D

Answer:

h = 5 units

Step-by-step explanation:

Step 1: Plug in known variables into formula

A = 1/2bh

30 = 1/2(12)h

Step 2: Multiply both sides by 2 (To get rid of fraction)

60 = 12h

Step 3: Divide both sides by 12

h = 5

Answer: 5 units

Step-by-step explanation:

30 devided by 12 then multiply that by 2

Answer:

Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.

Step-by-step explanation:

Cost for one year at University of Oklahoma = $20,000

Cost for 4 years = 4 × $20,000 = $80,000

Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000

Amount she needs to borrow = $80,000 - $57,000 = $23,000

Answer:

(1). 8

(2). 8

(3). 8

(4). 8

Step-by-step explanation:

Statement (1).

The domain of this graph is [0, 10]

True.

(x-values or input values of the function is a set of values between 0 and 10 including 0 and 10 both)

Statement (2).

The Range of this graph is {3, 7, 9, 12}.

True.

(For input values x = 0, 4, 9, 10 there is a distinct output value y = 3, 7, 9, 10

Statement (3).

This graph represents continuous data.

True.

Since this graph has a distinct value of y for every value of x and the graph is not interrupted.

Therefore, it's a continuous function.

Statement (4).

The graph represents a function.

True.

For every value of x (input value ) a distinct value of y (output value) is obtained.

Therefore, graph represents a function.

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"Mr. Anderson cuts a piece of metal in the shape of the triangle shown. The piece of metal has an area of 7 1/2 square feet. What is the base of the piece of metal? triangle 5ft high"

Area of the triangle = 1/2 * base * height

Given the area of the piece metal = 7 1/2 ft² and its height = 5ft (since the triangle is 5ft high). On substituting the values in the formula;

7 1/2 = 1/2* base * 5

15/2 = 5/2 * base

15 = 5 * base

base = 15/5

base = 3ft

The base of the piece of metal is 3ft

Answer:

Area = 4.5 π cm²

Step-by-step explanation:

Area of semicircle = [tex]\frac{\pi r^2}{2}[/tex]

Where r = 3cm

=> Area = [tex]\frac{\pi(3)^2 }{2}[/tex]

=> Area = [tex]\frac{9\pi }{2}[/tex]

=> Area = 4.5 π cm²

Answer:

Step-by-step explanation:

x            y

1            2

2           4

3           9

4           16

This sounds like a quadratic equation of f(x)=x^2, thus, the range is:

1 inch is two 1/2’s so it takes two strokes to lift the car 1 inch.

2 strokes per inch x 5 inches = 10 total strokes.

The answer is 10

Answer:

Step-by-step explanation:

Since we know that the max height is 43.5 feet, we can use that in the work form of a parabola to solve for the time it was at its max height. This time will serve as the h value in the vertex of the parabola. Then we can rewrite the parabola in terms of time.

The work form of a parabola is

[tex]y=-|a|(x-h)^2+k[/tex] and believe it or not, we have everything we need to solve for h. We know the k of the vertex (43.5) and we also know that at time 0, before any time at all went by, the object started out at 5 feet. So we have a coordinate to use (0, 5) as x and y. We also know that a = 16. Plugging all that in to the work form:

[tex]-16(0-h)^2+43.5=5[/tex] and

[tex]-16(h^2)=-38.5[/tex] and

[tex]h^2=2.40625[/tex] so

h = 1.551209206 sec

This gives us a vertex of (1.551209206, 43.5).

Now let's plug in and find the rest of the equation.

[tex]s(t)=-16(t-1.551209206)^2+43.5[/tex] and expanding that binomial:

[tex]s(t)=-16(t^2-3.102418412t+2.406250001)+43.5[/tex] and distributing the -16 in:

[tex]s(t)=-16t^2+49.63869459t-38.50000002+43.5[/tex] and combining like terms:

[tex]s(t)=-16t^2+49.63869459t+4.9999999[/tex]

so if we round to the nearest whole number, the quadratic will be

[tex]s(t)=-16t^2+50t+5[/tex] which tells us that this object was lauched from an initial height of 5 feet and that it was launched at an upward velocity of 50 feet/sec.

Answer:

Boat = 20 mph

Current = 5 mph

Step-by-step explanation:

If b is the speed of the boat, and c is the speed of the current, then:

b + c = 225 / 9 = 25

b − c = 225 / 15 = 15

Solve the system of equations with elimination.

2b = 40

b = 20

Plug back into either equation to find the speed of the current.

c = 5

Answer:

work is shown and pictured

Answer:

B.

Step-by-step explanation:

According to what it's drawn in the diagram Cyrus can prove the above by considering the fact that the both triangles are similar triangles.

The second thing he will consider is that the the slope will be equal be equating the formula for the both slopes of the triangle.

He should also Consider multiplication property, in that way, when all these three factors are present in his equation he should be able to show his proof.

Answer:

32.2033898 % decrease

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

59-40 = 19

Divide by the original amount

19/59 =.322033898

Change to a percent

32.2033898 % decrease

Answer:

Options 2 and 4.

Step-by-step explanation:

Line MK is the perpendicular bisector of line LN, because it cuts through its midpoint.

Line ML is equal to line MN because it is a kite, and a kite has two adjacent sides equal.

Answer:

1_11/20 pounds, or 1.55 pounds.

Step-by-step explanation:

Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.

The answer is attached.

Answer:

25, 31, 37

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10

-11 -5 1 7 13 19 25 31 37 43

6 6 6 6 6 6 6 6 6

25 + 31 + 37 = 93

Answer:

2   7/24

Step-by-step explanation:

Answer:

see attachment

Step-by-step explanation:

y-int = 4, x-int. = 24

negative five point zero

Answer:

Step-by-step explanation:

I got the answer right on Edge 2021. Hope this helps!

Answer:

h =6

c =1

[tex]2h = 9 + 3 \\ 2h = 12 \\ 12 \div 2 = 6 \\ 7c + 5 - 3c = 9 \\ 4c + 5 = 9 \\ 4c = 9 - 5 \\ 4c = 4 \\ c = 4 \div 4 \\ c = 1[/tex]

Answer:

AC = 13.5

Step-by-step explanation:

Using the law of sines

AC             BC

---------  = ----------------

sin B         sin A

AC             14

---------  = ----------------

sin 24        sin 25

Using cross products

AC sin 25  = 14 sin 24

AC = 14 sin 24 / sin 25

AC =13.47389244

To the nearest tenth

AC = 13.5