What is the final amount if 457 is decreased by 1% followed by a further 3% decrease? Give your answer rounded to 2 DP.

Answer:

Two Angles are Complementary when they add up to 90 degrees (a Right Angle)

Step-by-step explanation:

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Answer:

w = 100 ft

Step-by-step explanation:

A football fields is of rectangular shape, and for that shape, we know the length (300 ft) and one diagonal (316,2 ft). To determine the width we have to understand that diagonal, length and a width form a right triangle, and in a right triangle we can apply Pytagoras theorem. Therefore:

d(diagonal)²  =  l²  +  w²    where l is the length and w the width

d²  =  l² + w²    ⇒    d²  -  l²  = w²

w²  =  ( 316,2)² - (300)²   ⇒   w²  =  99982,44 - 90000

w² = 9982,44

w = √9982,44

w = 99,91 ft

Rounded to the nearest foot

w = 100 ft

Answer: c = 6

To solve for c in the equation you see here,

our goal is to get c by itself.

Our first step will be to isolate the term

containing c which in this problem is 3c.

To isolate 3c, we have to get rid of the +5 by

subtracting 5 from both sides of the equation.

On the left, the +5 and -5 cancel out

and we are simply left with 3c.

On the right, 23 - 5 simplifies to 18.

Now we have 3c = 18.

To get c by itself, since it's being multiplied by 3,

we just divide both sides of the equation by 3.

On the left, the 3's cancel and we are left with c.

On the right, 18/3 simplifies to 6.

So our answer is c = 6.

Answer:

629.11

Step-by-step explanation:

Six hundred twenty-nine and eleven hundredths

Hundreds | Tens | Ones | Tenths | Hundredths  

Fill in the above place value chart

Hundreds (100) | Tens (10) | Ones (1) | Tenths (0.1)  | Hundredths  (0.01)

       6                          2               9        .         1                        1

Multiply each value in the chart by their respective number above it.

6 (100) + 2 (10) + 9 (1) + 1 (0.1) + 1(0.01)

600 + 20 + 9 + 0.1 + 0.01

Add

629.11

Hope this helps :)

Answer:

1 every 2.5 feet

Step-by-step explanation:

20 divided by 8 20 being the plants 8 being the length gives u 2.5

Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.

To find the distance between each plant when they are evenly spaced around the edge of the circular garden, we can use the formula for the circumference of a circle:

[tex]Circumference (C) = \pi * diameter[/tex]

Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.

Given that the diameter of the circular garden is 8 feet, we can calculate the circumference:

[tex]C = \pi * 8[/tex]

Now, let's calculate the circumference:

[tex]C = \pi * 8[/tex]

[tex]C = 3.14 * 8[/tex]

[tex]C = 25.12 feet[/tex]

Now, since there are 20 plants evenly spaced around the circumference, we can divide the circumference by 20 to find the distance between each plant:

[tex]Distance between plants = Circumference / Number of plants[/tex]

[tex]Distance between plants =25.12 / 20[/tex]

[tex]Distance between plants = 1.256 feet[/tex]

Complete correct question:

Jared is going to plant 20 small plants around the edge of a circular garden

that is 8 feet in diameter. If he spaces the plants evenly, how much distance

will be between the plants? (Round to the nearest hundredth)

Answer:

a. y = 4,200 [tex]0.976^{4t}[/tex]

b. 9.2%

Step-by-step explanation:

Given the information:

=> the base number of the exponential function is:

100% - 2.4% = 97.6% = 0.976

Let t is quarter

Let y is the population

=>  the following shows an exponential decay function to find the quarterly decay rate is:

y (t)= 4,200 [tex]0.976^{4t}[/tex]

b. The population is decreasing by how much percent per quarter?

Let t = 0 we have: y(0) = 4,200 [tex]0.976^{4*0} = 4200[/tex]

Let t = 1 we have:  y(1) = 4,200 [tex]0.976^{4*1} = 3811[/tex]

=> the decreasing percentage is:

= (y(0) - y(1)) / y(0)*100%

= (4200 - 3811) / 4200 *100%

= 389/4200*100%

= 9.2%

The expoenetial function that represents the quarterly decay is y = 4200(0.994)^4t.

The  population is decreasing by 0.4% every quarter.

The formula that can be used to determine the rate of decrease every quarter is:

FV = P(1 - r/m)^tm

y = 4200( 1 - 0.024/4)^4t

y = 4200(1 - 0.006)^4t

y = 4200(0.994)^4t

To learn more about future value, please check: https://brainly.com/question/18760477

The answer is conditional. I had this question and got it right have a great day

Answer:

2 3/4 divided by 11/8 would be 2.

Factor the numerator and denominator and cancel the common factors.

I hope that this was helpful :3

STAY SAFE!! :)

Answer:

100 boxes are needed to fulfill the order

Step-by-step explanation:

In this question, we are concerned with calculating the number of boxes that are needed to fulfill an order.

Each of the boxes contain 16 bags of flour and each of these bags weigh 5 pounds. What this means is that each of the boxes will have a net weight of 5 * 16 = 80 pounds

Mathematically, 1 ton is the equivalent of 2,000 pounds. Hence, 4 tons is the equivalent of 4 * 2000 = 8,000 pounds

Thus, the number of boxes needed will be 8,000/80 = 100 boxes

Complete Question

The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6. Which statements about the figure are true?

Answer:

(B)TU ≅ TS

(D)The length of line segment PR is 13 units.

Step-by-step explanation:

The diagram of the question is drawn for more understanding,

The theorem applied to this problem is that of tangents. All tangents drawn to a circle from the same point are equal.

Therefore:

|PQ|=|PU|=8 Units

|ST|=|UT| =6 Units

|RS|=|RQ|=5 Units

(b)From the above, TU ≅ TS

(d)Line Segment |PR|=|PQ|+|QR|=8+5=`13 Units

Answer:

b & d

Step-by-step explanation:

i took the edge test !

Answer:

y = 5

Step-by-step explanation:

25 = y + 20

y = 25 - 20

y = 5

hope it helps!

Answer:

y = 5

Step-by-step explanation:

Let's start!

Our equation for today is 25 = y + 20.

First we need to subtract 20 from each side,

                                        25 = y + 20

                                       -20        -20

We get,  

                                          5 = y

So our answer is 5!

(Or y = 5)

NICE JOB EVERYONE!

Answer:

The answer would be C.) x = 6

Step-by-step explanation:

7+5 (4-3) = 12

7+5 (5 -3) = 17

7+5 (6-3) = 22

7+5 (7-3) = 27

The graph of g(x) = 2x + 7 is a vertical shift of the graph of f(x) = x by 7 units upward.

The linear parent function, f(x) = x, is transformed to g(x) = 2x + 7. The transformation is a vertical shift of 7 units upward and a horizontal stretch by a factor of 2. To compare the graphs of the functions, we can plot a few points and observe the differences. For example, if we consider x = 0, for the parent function f(x) = x, the output is f(0) = 0. However, for the transformed function g(x) = 2x + 7, the output is g(0) = 7. This shows that all the y-values of the transformed function are 7 units higher than the corresponding y-values of the parent function. Therefore, the statement that correctly compares the graphs of the functions is that the graph of g(x) is a vertical shift of the graph of f(x) by 7 units upward.

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Final answer:

The function g(x) = 2x + 7 has a steeper graph than f(x) = x due to a larger slope and is also shifted upward by 7 units.

Explanation:

The linear parent function f(x) = x is transformed to g(x) = 2x + 7. When comparing the graphs of the two functions, we notice that g(x) is a transformed version of f(x). Specifically, the graph of g(x) has a slope of 2, which is a steeper incline than the parent function f(x), which has a slope of 1. Additionally, g(x) has a vertical shift upwards by 7 units. Therefore, the statement that correctly compares the two graphs would indicate that g(x) is steeper and shifted 7 units up from the graph of f(x).

Simplify the expression.

Exact Form:

189/2

Decimal Form:

94.5

Mixed Number Form:

94 1/2

Answer: 189 or 94.5

Step-by-step explanation:

divide 3/2 because he fashion is division so 3/2 is 1.5 then multiply 1.5 by 63    and you get 94.5

Answer:

200/1

Step-by-step explanation:

1000/5  = 200/1

Answer:

A

Step-by-step explanation:

Answer:A-70

Step-by-step explanation:

180-110=70

Answer: 6 × 1/1000

Step-by-step explanation:

Lana is creating a video. Her computer shoes that the video is 184.026 second long. From the figures, 184.026

1 represents 100

8 represents 80

4 represents 4

0 represents 0 tenths

2 represents 2 hundredths

6 represents 6 thousandths

Therefore, 6 × 1/1000 is the right answer.

The correct expanded form expression for one of the digits in Lana's video length is D. 6 * [tex]\frac{1}{1000}[/tex] which matches the digit 6 in the thousandths place correctly.

Lana's video length is 184.026 seconds. To write it in extended form, we separate each digit by its place value:

Now, let's match the given options to this expanded form:

Therefore, the correct answer is D. 6 * [tex]\frac{1}{1000}[/tex]

Complete question:

Lana is creating a video. Her computer shows that the video is 184.026 seconds long. She writes the length of the video in expanded form. Which expression represents the value of one of the digits in the length of Lana’s video?

A. 1* 1000

B. 2* [tex]\frac{1}{10}[/tex]

C. 4* 10

D. 6* [tex]\frac{1}{1000}[/tex]

Answer:

D. 80 mL

Step-by-step explanation:

Given:

- 10.0 mL of HCL

- 2.0 M HCl

- .25 M HCl

1) Convert mL to L

10 mL/1000 mL = .01 L

2) Find # of moles of HCl

2.0 M HCl = (x/.01 L)

x = .02 mol HCl

3) Find volume needed to make .25 M HCl

.25 M = .02 mol HCl/ y

y = .08 Liters

4) Convert Liters to mL

.08 L * 1000 mL = 80 mL

Answer: 80 mL (D)

Answer:

[tex] a =5[/tex]

Now we can use the info from the second point and we have:

[tex] 1280 = 5 b^8 [/tex]

We can divide 5 in both sides and we got:

[tex] 256 = b^8[/tex]

And using an exponent 1/8 in both sides we got:

[tex] (256)^{1/8} = b[/tex]

[tex] b = 2[/tex]

And then our model would be given:

[tex] y= 5 (2)^x [/tex]

Step-by-step explanation:

For this case we have two points given (0,5) and (8,1280). And we want to find a function given by this general expression:

[tex] y= ab^x [/tex]

And using the first point given we have:

[tex] 5 = a b^0 [/tex]

[tex] a =5[/tex]

Now we can use the info from the second point and we have:

[tex] 1280 = 5 b^8 [/tex]

We can divide 5 in both sides and we got:

[tex] 256 = b^8[/tex]

And using an exponent 1/8 in both sides we got:

[tex] (256)^{1/8} = b[/tex]

[tex] b = 2[/tex]

And then our model would be given:

[tex] y= 5 (2)^x [/tex]

Final answer:

To write an exponential function that passes through (0, 5) and (8, 1280), we first use the point (0, 5) to find that a = 5. Then, using the point (8, 1280), we solve for b, finding b = 2. Thus, the required exponential function is[tex]y = 5.2^x.[/tex]

Explanation:

To write an exponential function in the form y=ab^x that goes through the points (0, 5) and (8, 1280), we need to solve for a and b.

Step 1: Use the First Point (0, 5)

Substitute x = 0 and y = 5 into the equation:
5 = a · [tex]b^0[/tex]
Since any number raised to the power of 0 is 1, we find:
a = 5

Step 2: Use the Second Point (8, 1280)

Substitute x = 8, y = 1280, and a = 5 into the equation:
1280 = 5 ·[tex]b^8[/tex]
To solve for b, divide both sides by 5:
256 = [tex]b^8[/tex]

Finding the 8th root of both sides gives:
b = 2

Step 3: Write the Exponential Function

Now that we have a = 5 and b = 2, the exponential function is:
y = 5·[tex]2^x[/tex]

Answer:

4

Step-by-step explanation:

It because when you count on your hands from 2 go up 2 more you get 4

Answer:

9.2 seconds

Step-by-step explanation:

got it right on edg 2020

Answer:

2 (x-4) (x-2)

Step-by-step explanation:

2x^2-12x+16

Factor out a 2

2( x^2 -6x +8)

Now we factor the inside term

What multiplies to 8 and add to -6

-4*-2 =8

-4+-2 = -6

2 (x-4) (x-2)

The equation x2 + 2x = 2x + x2 demonstrates the Commutative Property, showing that the order of addition does not change the result.

The equation x2 + 2x = 2x + x2 demonstrates the Commutative Property of addition. The Commutative Property states that for any numbers a and b, a + b = b + a. This property applies to both addition and multiplication, indicating that the order in which two numbers are added or multiplied does not change the result. In the given equation, the terms on both sides can be rearranged without changing the equality, showing that x2 + 2x is equal to 2x + x2 due to the commutative property.

Answer:

x =118

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees.  Let the unknown angle be x

37+25 +x = 180

Combine like terms

62+x = 180

Subtract 62 from each side

62+x-62 = 180-62

x =118

Answer:

23n=11112

n=11112÷23

...n=483.13

The value of n in the equation ( 23n = 11112 ) rounded to the nearest tenth is 483.1.

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given the data in the question;

We simply divide both sides by 23

23n = 11112

23n/23 = 11112/23

n = 11112/23

n = 483.1

Therefore, the value of n in the equation ( 23n = 11112 ) rounded to the nearest tenth is 483.1.

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Answer:

m = -1/2 and b = 2.5

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b  where m is the slope and b is the y intercept

2.5 - 1/2x = y

Rewriting

y = -1/2x +2.5

The slope is -1/2 and the y intercept is 2.5

m = -1/2 and b = 2.5

Answer:

C. 17

Step-by-step explanation:

f(x)= 3x+2

f(5)= 3(5) + 2

f(5)= 15+2

f(5) = 17

Answer:

2.5

Step-by-step explanation:

Okay so this is just unit pricing I believe.  First we take a look at the info we have.

24 bottles cost $6

We want 10

So what is 24 divided by 6?

Once you have that, it is the unit price.

Since 4 x 6 is 24, what would you use to find 10?

And thats how you find your answer!  Hope this helped.

Have a great day ad stay healthy.

Answer:

The answer is 225,000.

Step-by-step explanation:

Hope this Helps!!!

Answer:

225000

Step-by-step explanation: