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.
Find out more at: https://brainly.com/question/20796404
Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
ANSWER PLEASE!!! I WILL GIVE BRAINLIEST
NO BOTS OR WEBSITE LINKS
Answer:
San Francisco
Step-by-step explanation:
The cost per mile in San Francisco is 0.45 per mile, whereas it is 0.40 in New York
Jenny bought some books she spent a total of 58 dollars after a discount of 7 dollars off of her total purchase . each book cost 5 dollars . How many books did she buy
Answer:
13 books
Step-by-step explanation:
Total cost without the discount = $58 + $7 = $65
Cost of one book = $5
Let the number of books be n
5n = 65
n = 65/5
n = 13
Solve. 140% of 340 is what number?
Answer:
The answer is 476
Step-by-step explanation:
hope this helps :)
A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?
5 inches x 4 inches
4 inches x 6 inches
6 inches x 3 inches
3 inches x 8 inches
Answer:
Length = 6in
Width = 4in
The formula for solving the perimeter of a rectangle is:
P = 2(L+W)
The formula for finding the area of a rectangle is:
A = L x W
If we substitute our values, we will get:
P = 2(6 + 4)
P = 2(10)
P = 20in
A = 6 x 4
A = 24in²
ABC ≃DEF. Find the lengths of the given sides
Answer:
BC = 8 and EF = 8.
Step-by-step explanation:
Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).
Set BC and EF equal to each other.
x + 6 = 3x + 2
Subtract x from both sides.
6 = 2x + 2
Subtract 2 from both sides.
4 = 2x.
Divide 2 on both sides.
x = 2.
Substitute 2 for x.
BC = 2 + 6
BC = 8
Since we already know that EF is congruent to BC, EF is also 8.
EC = 3(2) + 2
EC = 6 + 2
EC = 8
Please please help please help me please please help me
Answer:
y = -6/7x - 10/7
Step-by-step explanation:
(-4,2) and (3,-4)
Slope: - 6/7
Take any point: (-4,2)
y-intercept: 2 - (- 6/7)(-4) = -10/7
Need helpPlzzzzzzzzzzzzzzzz
Answer:
2
Step-by-step explanation:
10(-7y-2z)+4z-2(-8z+6y) simple form
[tex]10(-7y-2z) +4z -2(-8z+6y)\\\\=-70y -20z +4z +16z - 12y\\\\=-82y -4z+4z \\\\=-82y[/tex]
What is the domain of the square root function graphed below?
4
-6
4
-2
6
X
15
6
Answer:
x[tex]\leq[/tex]-1
Step-by-step explanation:
at the fish market, a whole fish costs $4.20. If the body costs $1 more than the tail, and the body costs $2 more than the head, how much does the head cost?
Answer:
$ 0.4
Step-by-step explanation:
if we assume head costs $ x then,
body will cost $x + 2 (2 more than head)
and tail will cost $x+1
x+x+2+x+1 = $ 4.20
or, 3x = 4.20-3
or, x= 1.20/3
therefore, x=0.4
Answer:
$ 0.4
Step-by-step explanation:
Which are shown on the diagram? Check all that apply.
Answer:
B C. F
Step-by-step explanation:
Write a function in any form that would match the graph shown below
9514 1404 393
Answer:
f(x) = 2(x +2)^2(x -5)
Step-by-step explanation:
The root at x=-2 has even multiplicity. The curve is not flat there, so the multiplicity is 2, not higher. The root at x=5 has multiplicity 1. Then the factored form of this cubic is ...
f(x) = a(x +2)^2·(x -5)
The local minimum when a=1 is about -50, so we judge the leading coefficient to be 2. The desired function is ...
f(x) = 2(x +2)^2(x -5)
Given that m||n, find the value of x.
Answer:
x = 24°
Step-by-step explanation:
Using 180-degree formula, we can find x.
=> 84 + 4x = 180°
=> 4x = 180 - 84
=> 4x = 96
=> 24°
Therefore, x = 24°
Hoped this helped.
Answer:
[tex] {\boxed {\sf{x = 24 \degree}}}[/tex]
Step-by-step explanation:
In the given figure we have two consecutive interior angles.
We know that each pair of consecutive interior angles is supplementary.
So,
4x+84 = 1804x = 180 - 844x = 96x = 96/4x = 24Therefore, x = 24°
Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
A. y=275-6x
B. y=275+6x
C. y=6x-275
D. y=275x-6
Answer:
d because your taking away 6 from the 275
Step-by-step explanation:
Find the unknown angle in the figure
Answer:
Angle 145 degrees
Step-by-step explanation:
Hope it can help you lovelots
Situation. 11. The weather channel reported overnight rainfall of 1.5 inches and an average of 0.5 inches each hour for the remainder of the day. After how many hours will there be more than 5 inches of rain?
Answer: The amount of precipitation that falls around the world may range from less than 0.1 inch per year in some deserts to more than 900 inches per year
Step-by-step explanation:
31,807 = 81 =
Remainder:
Answer:
Answer: (31807/81) ÷ 2 = 196.339506173
Step-by-step explanation:
Math answers to division of fraction 31807/81
31807 81 = 392.679012346
392.679012346 = 3926.79012346 to the nearest tenth
392.679012346 = 392.68 to the nearest hundredth
392.679012346 = 392.679 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
31807 divide by half plus 20
Homework answers: (31807/2) + 20 = 15923.5
31807 divide by half plus 40
Homework answers: (31807/2) + 40 = 15943.5
31807/81 divided by 2
Answer: (31807/81) ÷ 2 = 196.339506173
It’s for pre college
Answer:
Not a function
Step-by-step explanation:
help for most brain! lol
Answer:
Im pretty sure it's false because 7.4p could 74, 148, 222 or 296. so it would be the other way around. It's false.
Step-by-step explanation:
Find the area of the triangle
= (1/2 × 6 × 4) square units
= (3 × 4) square units
= 12 square units
Answer:The area of the triangle is 12 square units.
Hope it helps.
Do comment if you have any query.
=================================================
Explanation/Solution:First, Identify what is the height and base of the triangle.
[tex] \rightarrow [/tex] Height = 4 units
[tex] \rightarrow [/tex] Base = 6 units
[tex] \\ [/tex]
Now to find the area of the triangle, use the formula:
[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]
Solve.
[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]
[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]
[tex] \rightarrow [/tex] = 12
Therefore, the area of the triangle is 12 units.
=================================================
#CarryOnLearning
30 liters in 2 minutes = liters per minute
Answer:
0.06 would be the answer.
Step-by-step explanation:
Answer:
15 liters per minute
Step-by-step explanation:
30/2=15
What is the missing number in this pattern?
1, 7, 8, 15, 23, 38, 61, 99, 160,
The next number in the sequence is the sum of the two note ious numbers.
The next number would be 99 + 160 = 259
Taryn mowed 9 yards and makes $112.50. How much does Taryn charge
to mow one yard?
solve the following stystem -4x + 2y = 0 and x + y = -1
what is 5 times 3 times 7 add 7
Answer:
5*3*7+7=112
Step-by-step explanation:
5*3*7=105+7=112
Answer: 112
Step-by-step explanation:
5 x 3 x 7 + 7
5 x 3 = 15
15 x 7 = 105
105 + 7 = 112
Answer is 112
−3 2/3=x−1 1/4 pls help
Answer:
- 2 5/12Step-by-step explanation:
−3 2/3 = x − 1 1/4x = - 3 2/3 + 1 1/4x = - 2 - 2/3 + 1/4x = - 2 - 8/12 + 3/12x = - 2 - 5/12x = - 2 5/12Set Question involving real and natural numbers
Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like
(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}
√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then
(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}
A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that
(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}
I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then
(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.
N is a subset of B, so
(iv.b) N - B = N = {1, 2, 3, ...}
How many lumps of wax 22 cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?
Answer:
To get least possible number of cubes, first find the HCF of 6, 12 and 15
HCF of 6, 12 and 15 = 3
Least possible number of cubes = (6/3)×(12/3)×(15/3)
=2 × 4 ×5
= 40
Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500
The gross income or profit of the company is the difference between the
total revenue and the cost of items produced.
The values for the gross profits are;
(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000Reasons:
The gross profit is given by the equation;
Gross profit = Net revenue - Cost of items sold
The net revenue for 75,000 units = $57.50 × Sales price per unit
∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500
Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead
Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500
The cost of producing 75,00 units per year = $3,562,500
Gross profit = $4,312,500 - $3,562,500 = $750,000
(b) When the number of units produced = 110,000, we have;
Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500
Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)
2. By producing 35,000 units more than it sells, we have;
Cost > Revenue, therefore, the gross profit decreases
Let, X, represent the number of units sold, we have;
The number of units produced = X + 35,000
Which gives;
Cost of production = (X + 35,000) × (10.50 + 8.00 + 12.50) + 1,237,500 =
31·X + 2,322,500
Net revenue = X × 57.50 = 57.50·X
The profit = 57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500
When X = 75,000, we have;
Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000
Therefore;
The gross profit will decrease by 750,000 - (-335,000) = 1,085,000
The gross profit of the company will would decrease by $1,085,000, if it
sells 75,000 units and produces 110,000, which is 35,000 more units than
is sells.
Learn more here:
https://brainly.com/question/21776821