Example 8: Over the track-and-field season, the height Fred cleared in the high jump increase from 1.81 m to 1.96 m. a) Find Fred's percent increase in height. W b) What final height would Fred have to clear for a 20% increase in height over the track-and-field season?​

Answers

Answer 1

Answer:

a. about 8.3%

b. 2.172 m

Step-by-step explanation:

a. 1.81 * x = 1.96

x = 1.083

Percent increase is approximately 8.3%

b. 1.81 * 1.2 = x

x = 2.172 m


Related Questions

What is the measurement of ADB?
A. 90
B. 95
C. 105
D. 145

Answers

Answer:

C)105

Step-by-step explanation:

sizde benim sorduğum soruları cevaplarsanız sevinirim doğru ve hızlı bir şekilde

Q1 (a) A random variable X has the following probability function: Х O 1 2 3 4 5 and P(x) 0 k 2k 2k 3k 5k
(i) Determine the value of "k"
(i)Find P(1.5 < X < 4.5/ X > 2)​

Answers

Answer:

(i) It is known that the sum of probabilities of a probability distribution of random variables is one.

∴0+k+2k+3k+k

2

+2k

2

+(7k

2

+k)=1

⇒10k

2

+9k−1=0

⇒(10k−1)(k+1)=0

⇒k=−1,

10

1

k=−1 is not possible as the probability of an event is never negative.

∴k=

10

1

(ii) P(X<3)=P(X=0)+P(X=1)+P(X=2)

=0+k+2k

=3k

=3×

10

1

=

10

3

(iii) P(X>6)=P(X=7)

=7k

2

+k

=7×

10

1

2

+

10

1

=

100

7

+

10

1

=

100

17

(iv) P(0<X<3)=P(X=1)+P(X=2)

=k+2k

=3k

=3×

10

1

=

10

3

I need Help please ASAP!!!!
Please
Please

Answers

Answer:

1.8?

Step-by-step explanation:

Answer:

its 1 4/5 your welcome

Step-by-step explanation:

The radius of a circle is 2.5 centimeters (cm).
What is the circumference of the circle?

Answers

Answer:

15.7 cm to nearest 10th

Step-by-step explanation:

Circumference = 2 pi r = 2 pi 2.5

= 5 * pi

= 15.708 cm.

Find BC.
А В
С
ош
=
=
AD = 10.5
AB = 2
СЕ = 11.5
AE = 15
BC = [?]
=

Answers

Answer:

8,5

Step-by-step explanation:

BC=AD-AB

BC=10,5-2

BC=8,5

Mrs. Traynor's class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. Use compatible numbers to estimate the total cost of the field trip.

Answers

Answer:

$572

Step-by-step explanation:

Since she has to pay $26 for her 22 students, you need to multiply to find the answer$26 * 22 = 572Therefore, she has to pay $572

In 2004 5,545 woman were participating in college lacrosse and in 2008 6,830 woman joined was is the rate of change

Answers

Answer:

321.25 per year

Step-by-step explanation:

In 2004 they had 5,545

In 2008 they had 6,830

Subtract them both and you get 4 years, 1285 people

Divide 1285 by 4 and get 321.25 per year.

Determine the value of x for the following equation: 9(x + 2) = 72

Answers

9(x+2)=72
Divide both sides by 9
x+2=8
Subtract 2 from both sides
x=6

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

So, first we divide the equation by 9 on both sides to get: [tex]\frac{9\left(x+2\right)}{9}=\frac{72}{9}[/tex]

Then, we simplify to get [tex]x+2=8[/tex]

Now, to leave x alone we subtract 2 from both sides ([tex]x+2-2=8-2[/tex]) to get our final answer of [tex]x=6[/tex]

brainliest pls

Subtract 8−2x from 3−6x . Enter your answer by filling in the boxes. $$

Answers

Answer:

-4x-5

Step-by-step explanation:

(3-6x)-(8-2x) = 3-8+2x-6x = -4x - 5

Nicole got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the
ribbon was 22 cents per yard. If after that purchase there was $17.52 left on the card, how many yards of ribbon did Nicole buy?

Answers

Answer:

34 yards of ribbon

Step-by-step explanation:

If you will subtract the $17.52 to $25 you will get 7.48 then 7.48 divide to .22 you will get 34 as the answer

PrOblem 1: Find the slope of the line containing the points: (3,-5) and (-1, -2)
Problem 2: Find the x and y intercepts of the line: 2x – 3y = 12
Problem 3: Graph the line x-4y=8

Answers

Answer:

1) -3/4

2) (6, 0), (0, -4)

3) connect (0,-2) and (8,0) together

Step-by-step explanation:

1) (-2) - (-5) / (-1) - 3 = -3/4

2) x = 0 -3y=12 y = -4, y= 0 2x =  12 x = 6, x intercept = (6, 0) y intercept = (0, -4)

3) x - 4y = 8 this could be written as y = x/4 - 2 and y intercept is (0, -2) and x intercept is (8, 0) so connect these points together and make a line

#1

m=y2-y1/x2-x1m=-2+5/-1-3m=3/-4

#2

Inetercept form x/a+y/b=1

2x-3y=122/12x-3/12y=12/12x/6-y/4=1

x inetercept at 6 and y intercect at -4

#3

Graph attached

x+3y=-5
4. Tyler and Han are trying to solve this system by substitution:
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Han's first step
is to isolate 3y in the first equation to get 3y = -5 - X.
Show that both first steps can be used to solve the system and will yield the same
solution.

Answers

Answer:

Tyler's - (-5 - 3y) + (3y) = -5

Han's - (x) + (-5 - x) = -5

Step-by-step explanation:

If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.

But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become

x + (-5 - x) = - 5 which also gives us an exact answer of -5.

Thus proving that both first steps show the same solution of -5.

Find the value of k so that (x + 3) is a factor of H(x) = 3x^3 – 2x^2 + kx – 3.

A. 34
B. 20
C. -20
D. -34
E. 32

Answers

D. -34

Explanation:

3(-3)³ - 2(-3)² + (-3)k - 3 = 0

-81 - 18 - 3k - 3 = 0

3k = -102

k = -34.

10. A wedding reception bartender is faced with a problem: how many litres of fruit juice must be
mixed with 4 litres of a 24% flavoured rum to make a rum punch of 8% strength?

Answers

9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.

To determine how many liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength, the following calculation must be performed:

(4 x 24 + 4) / 8 = 12.5 (4 x 24 + 8) / 12 = 8.66 (4 x 24 + 9) / 13 = 8.07 (4 x 24 + 9.14) / 13.14 = 8

Therefore, 9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.

Learn more about maths in https://brainly.com/question/25865591

A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval -2<= x <= 0?


The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.

Answers

Answer:

×e[-2,0}

Why;-2<x<0

Write the compound inequality in interval rotation

so the answer is;×e[-2,0}

brainliest me thanks for later

Answer:

D) The exponential function decays at three-fourths the rate of the quadratic function.

Step-by-step explanation:

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 250, and then went up by 20% in 2012. How many robberies were there in Springfield in 2012?

Answers

First, we need to find out what 20% of 250 is

250 x .2 = 50

You then add the answer (50) to the yearly number of robberies in Springfield in 2011 (250)

250 + 50 = 300

The number of robberies in Springfield in 2012 is 300

been trying to solve this, need help

Answers

Given :-

The given triangle is isosceles triangle.Length of one side is 4 .

To Find :-

The value of x in simplest radical form.

Solution :-

The given triangle is a right isosceles triangle . So here we can use the Pythagoras theorem as ,

[tex]\longrightarrow[/tex] hypotenuse² = perpendicular ² + base²

[tex]\longrightarrow[/tex] x² = 4² + 4²

[tex]\longrightarrow[/tex] x² = 16 + 16

[tex]\longrightarrow[/tex] x² = 32

[tex]\longrightarrow[/tex] x = √32

[tex]\longrightarrow[/tex] x = √2⁵

[tex]\longrightarrow[/tex] x = 4 × 1.732

[tex]\longrightarrow[/tex] x = 6.928 7

find the value of x ​

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

<AEC =X°

first draw line passing with Eand then ,now

<EAB = 116°

the by (consecutive)

180 = <EAB + <1

<1 = (180 - 116 )

<1=. 64°

now second step,

<ECD = 124°

then ,180 = <ECD + <2

<2= (180 - 124)

<2= 56°

= Now add <1 + <2

= (64+ 56)°

➡x° = 120°

Answer:

Solution given:

Construction:

EF parallel to AB and CD is drawn.

let suppose <AEF=a

and

<CEF=b

now

<EAB+<EAB=180°[being co interior angle]

116°+a=180°

a=180°-116°=64°

again

<DCE +<CEF=[being co interior angle]

124°+b=180°

b=180°-124°

b=56°

Now

we know

x=a+b=64°+56°=120°

Value of x is 120°

Which relation is a function?

Answers

Answer:

D is a function.

Step-by-step explanation:

cause the line is related to both x and y

The relation that represents a function is the relation (d)

Checking the relations that are functions

From the question, we have the following parameters that can be used in our computation:

The relations (1) to (4) represent the given parameter

Next, we test the options

Relation (1)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (2)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (3)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (4)

This relation is a function

This is because the inputs all point to different output values

Hence, the relation that is a function is graph (d)

Read more about functions at

brainly.com/question/22340031

#SPJ6

expand and simplify 3(5x+1)+5(5x-4)​

Answers

Answer:

40x-17

Step-by-step explanation:

Zachary is going out with his friends to see

a movie and shop. He has $32 and the

movie will cost $7.25. Write and solve an

inequality to find how much money

Zachary can spend shopping.

Answers

Answer:

7.25 + S ≤ 32

Step-by-step explanation:

Our initial value is 7.25, and that is to watch the movie. Next, the absolute max he can spend is 32, or he would have negative money, which he cannot have. Therefore, we use the ≤ sign and point it as 32, to show that it must be less than or equal to our total of 32. Then, we can represent the money they spend on shopping with s

21 cans of tomato paste of the same size have weight of 7300 grams. What is the weight of 5 cans.

Answers

Answer:

answer is 347.6

Step-by-step explanation:

21/7300= 347.6

Need help. I don't understand this question.

Answers

Answer:

The first is 1 and the second is 28 i believe

Step-by-step explanation:

Hope this helps:)

Geometric Applications: For the next three questions, use the information below:
A rectangle has a side with a length of 8ft and a width of (2x+4)ft.
Label the rectangle
15 pts
a) Find the perimeter of the Rectangle:
b) Find the area of the rectangle:
c) If the total Area is 80 square feet, find the width in feet.

Answers

Answer:

a)Perimeter= 2(8+2x+4)

=(24+4x)ft

b)Area= 8(2x+4)

=(16x+32)square ft

c)16x+32=80

x=3

width= 2x+4 = 2(3)+4 =10ft

Find the whole number equal to the fraction below. Enter your answer in the
space provided.

Answers

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

6/2 ÷ 2/2 = 3/1

3 ÷ 1 = 3

Answer: 3

#CarryOnLearning

1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?

Answers

Answer:

217 seconds

Step-by-step explanation:

3 minutes = 180 seconds

180 seconds + 37 seconds = 217 seconds

Which costs the least per can, a 24 pack of cola for 5.52,a 12 pack of cola for 2.64 or a 6 pack of cola for 1.35

Answers

Answer:

It would be the 12 pack of cola for 2.64

Step-by-step explanation:

2.64/12 = 0.22

5.52/24 = 0.23

1.35/6 = 0.225

Round 0.225 = 0.23

3. Find the area of the trapezoid.
8 ft
4V3
10 ft

Answers

Answer:

[tex]32\sqrt3[/tex]

Step-by-step explanation:

We need first to find the measure of the red horizontal line, call it x. The triangle i filled is a right triangle, so we can apply pythagoras theorem,

[tex]8^2 = x^2+(4\sqrt3)^2 \rightarrow 64=x^2+(16\times3) \\x^2=64-48 \rightarrow x^2=16 \rightarrow x=4[/tex]

(we are talking lengths of segment so we take only the positive root!)

At this point we can find the length of the smaller base of the trapezoid (which is [tex]10-4=6[/tex]) and apply the formula, or split the figure in a rectangle of sides 6 and [tex]4\sqrt3[/tex] and a triangle of sides [tex]4\sqrt3[/tex] and 4.

With the trapezoid formula

[tex]A=\frac12(B+b)h = \frac12(10+6)4\sqrt3 = 32\sqrt3[/tex]

With the sum of figures:

[tex]A= bh+\frac12 xh=6\times4\sqrt3 +\frac12\times4\times4\sqrt3=24\sqrt3+8\sqrt3=32\sqrt3[/tex]

Write the sphere in standard form. 4x2 + 4y2 + 4z2 − 24x + 16y = 1

Answers

Answer:

  (x -3)^2 +(y +2)^2 +z^2 = 13.25

Step-by-step explanation:

Divide by 4 and complete the squares.

  x^2 -6x +y^2 +4y +z^2 = 1/4

  (x^2 -6x +9) +(y^2 +4y +4) +z^2 = 13 1/4

  (x -3)^2 +(y +2)^2 +z^2 = 13.25

Which number one shows Point A at-2, Point B at 35, Point Cat-3
1-2 1 / 2
and point, which is the opposite of point ?
B
D
A
с
2
2-1
1
2
3 4 5
2 1
2
2 4 5
A
B
2-1
1
2
B
5 4 3 2 1
1
2 3 4 5

Answers

Answer:

B

D

A

с

2

2-1

1

2

3 4 5

2 1

2

2 4 5

A

B

2-1

1

2

B

5 4 3 2 1

1

2 3 4 5

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