Arthur must jump an additional 8.25 inches so as to break the record.
1 foot = 12 inches
Long jump record = 22 ft 6 3/4in = 22 ft 6.75 in = (22ft * 12 in per ft) + 6.75 in
Long jump record = 270.75 in
Arthur's long jump record = 21 ft 10 1/2in = 21 ft 10.5 in = (21ft * 12 in per ft) + 10.5 in
Arthur's long jump record = 262.5 ft.
To break the record, the distance needed to be jump by Arthur = 270.75 in - 262.5 ft. = 8.25 in
Arthur must jump an additional 8.25 inches so as to break the record.
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These triangles are similar select all equations that could be used to solve for the side indicated by the?
Answer:
➟ Two triangles are similar then ratio of their corresponding sides are equal.
(Option 3 is correct)
★ Criteria for similarity of two triangles
i.) Their corresponding angles are equal.
ii.) Their corresponding sides are proportional.
∆ABC ~ ∆DEF only if
∠A = ∠D
∠B = ∠E
∠C = ∠F
and
AB/DE
BC/EF
CA/FD
[ Some theorems ]
AAA - similarity
AA - similarity
SSS - similarity
SAS - similarity
Step-by-step explanation:
12.) Samuel is 30.75 inches tall. His younger brother, Spencer, is 6 inches shorter. How tall is Spencer?
Answer: Spencer is 24.75 inches tall
Step-by-step explanation: Just subtract 6 from 30.75 to find the answer
Answer:
The percentage increase in Spencer's height is 125%
Step-by-step explanation:
Solution:
Initial height of spencer = 28 inches
Increased height of spencer = 5 feet 3 inches
= 5 feet + 3 inches
(5 feet = 5 ×12=60 inches)
= 60 + 3
Describe the slope of the line.
Answer:
-3/5
Step-by-step explanation:
Just ask.
Hope this helps! :)
Ali has q quarters. Tom has four more quarters than Ali.
Drag and drop the expressions into the boxes to write an expression that represents the number of quarters Ali and Tom have together.
Response area + Response area
Answer: x(.25)+(4+x(.25))=y
Step-by-step explanation:
1. set up the equation-
Ali has an unknown amount of quarters so make that x.
We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on
Tom has 4 more, since he has 4 more it is 4+x and one again times .25
2. that is it
Rico opens an ice cream shop. The function f ff models the shop's net worth (in thousands of dollars) as a function of time (in months) after Rico opens it. Plot the point on the graph of f ff that corresponds to the shop's net worth when Rico opens it.
Answer: -5
Step-by-step explanation:
Based on the graph given, the point that on the graph that corresponds with the shop's net worth when Rico opened it is -5.
What was the shop worth when it was opened?The point that the shop was opened is represented by the value of the y axis when it was first crossed.
Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Rico.
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Given the following list of data, what is the five-number summary?
10, 12, 13, 13, 14, 16, 16, 18, 18, 18, 18
a pacific seahorse eats about 56 shrimp per week how much does it eat per day
Read the short scenario and answer the question that follows.
Lisa's credit card balance this month is $969.16. Her APR (annual percentage rate) is 15.24 %. The minimum payment due is $20.00.
If she pays only the minimum each month and does not add any more charges, how long will it take her to pay off the entire balance?
Choose the correct answer below.
A.
about 10 years
B.
about 6 years
C.
about 3 years
D.
about 1 year
Answer:
B
Step-by-step explanation:
Use the amortisation formula:
A = P (r(1+r)^n)/((1+r)^n - 1)
swap in your numbers
p = 969.16
A = 20
n = 0.1524/12
20 = 969.16((0.1524/12) (1+(0.1524/12))^n) / ((1+(0.1524/12))^n - 1)
Then solve for n
n = 72 months
n = 6 years
plz help meeeee ty if you doooo
Answer:
[tex]\mathsf{\: \frac{24}{35} }[/tex]
Step-by-step explanation:
Given the addition of two unlike fractions, [tex]\mathsf{\frac{2}{5} \: +\:\frac{2}{7} }[/tex] :
We could only add those two fractions if they have the same denominator.
In order to do so, we must determine their least common denominator (LCD), which happens to be 35.
Next, perform the following mathematical operations:
[tex](\mathsf{\frac{2}{5} \:\times\frac{7}{7}}) + (\mathsf{\frac{2}{7} \:\times\frac{5}{5}})[/tex] = [tex]\mathsf{\frac{14}{35} \:+ \:\frac{10}{35}}[/tex] = [tex]\mathsf{\: \frac{24}{35} }[/tex]
Therefore, the correct answer is Option 3: [tex]\mathsf{\: \frac{24}{35} }[/tex].
Answer:
Answer
.sudor I think its B???!!!
How many numbers are prime between 40 and 50?
Step-by-step explanation:
Correct answer:
(The primes between 40 and 50 are 41, 43, and 47 - three.
pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy?
Answer:
18 pocket folders
Step-by-step explanation:
divide 7.02 by .39
Consider the functions f(x) and g(x). The function f(x)=2x-5 and g(x)= -f(x+1)+3. Describe the three transformations that are performed on f(x) to create g(x).
A.
1.
2.
3.
B. Sketch a graph of g(x):
Answer: 3
Step-by-step explanation:
What is the equation of this line?
y= 1/2+2
y = 2x + 2
y= 1/2x-2
y = 2x - 2
HELP ME PLEASEEE ILL GIVE BRAINLIEST
Answer:
y=2x-2
You use rise/run in this problem
Which is a graph of y= 3x-1?
Answer:
y=3x-1 = x=1/3
Step-by-step explanation:
y=3x-1
to find the 0-intercept at x, underline y = 0
0=3x-1
move the variable to the left side and change its sign
-3x=-1
divide both sides of the equation by -3
x=1/3
Answer: its bottom left, because look at the axis, y axis is the vertical line, check that closely :)
George read 72% of a book. If he reads 270 pages how many pages are there in the book?
Answer:
375 pages
Step-by-step explanation:
270 = 72%
=> 270/72 = 72/72
=> 3.75 = 1%
=> Number of Book pages = 375
Hoped this helped.
what is the speed of light?
Answer:
The universal physical constant c, or the speed of light in vacuum, is essential in many fields of physics. It has a precise value of 299792458 metres per second.
Step-by-step explanation:
Answer:
299 792 458 m / s
Step-by-step explanation:
In terms of sig figs, it can be 3.0 * 10^8 m/s
Which ratio is equivalent to the given ratio? 8: 16 Select each correct answer. 16/31 1/3 1/2 12/24
[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]
Answer:
1/2. and 12/24
they are both halves just as the ratio is half of the given number
What is the distance between the coordinates (9, -2) and (9, 8) please helppp
Harley has 60 beads. There are 11 beads that are NOT round. The rest are round. How many round beads does Michelle have?
HEEELPPP ASAP PLEASE
Answer:
49 round beds
Step-by-step explanation:
60 beds in total= 11 not round beds +?
-11 not round beds=--11 not round beds=?
49 round beds=49 round beds
That's the best way I could explain it.
Please Help!
what is the resultant of the two vectors shown above?
A. (9,1)
B. (1,-9)
C. (-1,9)
D. (5,5)
Answer:
D 5 5 it has to be the answer
Plsssss help me! Brainlist! I’m so confused!
Pls answer, will award brainliest
1.00065528... Is the correct answer.
A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions.
a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor?
b. For 95% confidence, determine the margin of error (+ lbf)
c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators?
d. lbf) if 50 insulators were tested.
Answer:
A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.
Step-by-step explanation:
can someone heelp me plz
i need help with 2-5 in solving it.
Answer:
I can recommend you searching onlime
How is the product of 2 and -5 shown on a number line?
-10-98235
-3 -2 -1 0 1 2 3 4 5 6 7 8 10
-10 - -
-3
-2 -1 0 1 2 3 4 5 6 7 8
10
-10 -4 -8 -7 -3
4 -3 -2 -1 0
1
2
3
4
5
6
7
9
10
-10-9-4-7-3
-4-1 -2 -1 0 1 2
3
5
6
7
10
Answer:
d
Step-by-step explanation
Step-by-step explanation:It starts at 0 and goes in the negative
Find the domain of the function.
f(x) = -5x + 3
Enter a problem...
Calculus Examples
Popular Problems Calculus Find the Domain and Range f(x)=5x-3
f
(
x
)
=
5
x
−
3
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
y
|
y
∈
R
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
Finish the sentence: Two quantities are directly proportional when they:
A) increase and decrease at different rates
B) run into each other
C) increase and decrease at the same rate
D) only increase at the same rate
Direct proportion simply means the relationship between two variables when C. They increase and decrease at the same rate.
Direct proportion simply means the relationship that exists between two variables whereby the ratio is equal to a constant value.
In a direct proportion, it should be noted that an increase in a quantity will lead to a corresponding increase in the other quantity. Also, a decrease in one quantity also results in a corresponding decrease.
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8
There are 5 times as many pens in box A as in box B.
Teddy moves 82 pens
from box A to box B.
Both boxes now have the same number of
pens.
How many pens are in box A now?
Answer:
123 pens in Box A
Step-by-step explanation:
To solve this we will rewrite the word problem as an equation...
5x (A)
x (B)
When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...
5x - 82 (Change in Box A - subtraction)
x + 82 (Change in Box B - addition)
The problem now states that Box A and Box B are equal...
5x - 82 = x + 82
--- subtract x from both sides ---
4x - 82 = 82
--- add 82 to both sides ---
4x = 164
--- divide both sides by 4 ---
x = 41 pens
Now, we replace the x in the expression "5x - 82" with 41...
5(41) - 82 = 205 - 82
205 - 82 = 123
123 pens in Box A
Hope this Helps!
A 5 ounce container of greek yogurt contains 140 calories . Find the unit rate of calories per ounce