Answer:
43,000
Step-by-step explanation:
The number after the 3 in the thousandth place is 4. That is on the lower side of 5, so the number decreases.
One base of a trapezoid is decreasing at a rate of 888 kilometers per second and the height of the trapezoid is increasing at a rate of 555 kilometers per second. The other base of the trapezoid is fixed at 444 kilometers. At a certain instant, the decreasing base is 121212 kilometers and the height is 222 kilometers. What is the rate of change of the area of the trapezoid at that instant (in square kilometers per second)
The rate of change of the area of the trapezoid at that instant is 5 square kilometers per second and this can be determined by differentiating the area of the trapezoid with respect to time 't'.
Given :
One base of a trapezoid is decreasing at a rate of 8 kilometers per second and the height of the trapezoid is increasing at a rate of 5 kilometers per second. The other base of the trapezoid is fixed at 4 kilometers. At a certain instant, the decreasing base is 12 kilometers and the height is 2 kilometers.First, determine the area of a trapezoid, that is:
[tex]\rm A = \dfrac{b_1+b_2}{2}\times h[/tex]
[tex]\rm \dfrac{2A}{h}=b_1+b_2[/tex]
[tex]\rm b_2 = \dfrac{2A}{h}-b_1[/tex]
Now, differentiate the above expression with respect to 't'.
[tex]\rm \dfrac{db_2}{dt} = -\dfrac{2A}{h^2}\dfrac{dh}{dt}-\dfrac{db_1}{dt}[/tex]
Now. substitute the values of the known terms in the above formula.
[tex]\rm \dfrac{db_2}{dt} = -\dfrac{2\times (16)}{2^2}\times (5)-(-8)[/tex]
[tex]\rm \dfrac{db_2}{dt} = -32\;km/sec[/tex]
So, the area is decreasing at the rate of 5.
For more information, refer to the link given below:
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PLEASE HELP! I HAVE TWO QUESTIONS AND WILL GIVE 100PTS AND BRAINLIEST IF CORRECT!
1. A spool of ribbon holds 6.75 meters. A craft club buys 21 spools. What is the total cost if the ribbon sells for $2 per meter?
2. A spool of ribbon holds 6.75 meters. If the club uses 76.54 meters to complete a project, how much ribbon will be left
Answer:
1) $283.50
2) 65.21 meters.
Step-by-step explanation:
Part 1)
We know that a spool of ribbon holds 6.75 meters.
A craft club buys 21 spools.
So, the total length of ribbon bought is:
[tex]T=21(6.75)=141.75\text{ meters}[/tex]
Each meter costs $2. So, the total cost will be:
[tex]141.75(2)=\$ 283.50[/tex]
Part 2)
A spool holds 6.75 meters.
We bought 21 of them, so that total length we have is 141.75 meters.
The club used 76.54 meters.
So, the amount of ribbon that is left is represented by:
[tex]141.75-76.54[/tex]
Subtract:
[tex]=65.21\text{ meters}[/tex]
So, 65.21 meters of ribbon will be left.
Answer:
1. $283.5
2. 11
Step-by-step explanation:
1. 6.75*21 = 141.75
= 141.75 * 2
= 283.5
if cade shoots 359 free throws shoot in 4 hours, how many can he shoot in 6 hours
Find the unit rate in decimal representation $150 for 22 ft.²
Answer:
$6.82 per foot
Step-by-step explanation:
To find the unit rate, divide.
150 / 22 ≈ 6.82
Best of Luck!
Which expression below does not represent 343?
7³
7 · 7 · 7
7(49)
9 · 9 · 9
Answer:
9x9x9 because if you multiply themyou get 729
Step-by-step explanation:
Given f(x) = - 3x + 1 , solve for a when f(x) = - 5 .
Answer:
x=2
Step-by-step explanation:
-5=-3x+1
-1 -1
-6=-3x
divide both sides by -3
x=2
The value of x when f(x) = - 5, In the function f(x) = - 3x + 1 is 2.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = - 3x + 1.
Now, when f(x) = - 5 the equation would be,
- 5 = - 3x + 1.
- 5 - 1 = - 3x.
- 6 = - 3x.
3x = 6.
x = 2.
learn more about functions here :
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Fine the distance between (-8, 4) and (-8, -2)
Answer:
The distance between the two points is six units.
Step-by-step explanation:
We are given two coordinate pairs:
(-8, 4)(-8, -2)With these, we can find the distance between the two using the distance formula. The distance formula is:
[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, \ \text{where d is the distance.}[/tex]
Additionally, we need to label our coordinates. In math, coordinates are labeled as (x₁, y₁) and (x₂, y₂).
Therefore, our coordinate pairs can be labeled in this format.
(-8, 4)
x₁ = -8y₁ = 4(-8, -2)
x₂ = -8y₂ = -2Now, we can substitute these values into the formula and solve for d.
[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d = \sqrt{(-8 - -8)^2 + (-2 - 4)^2}\\\\d = \sqrt{(0)^2+(-6)^2}\\\\d = \sqrt{0 + 36}\\\\d = \sqrt{36}\\\\d = 6[/tex]
Therefore, the distance between the two points is six units.
Tell whether the other pair (8,2) is a solution of the system of linear equations.
x - y = 6
2x - 10y = 4
The ordered pair ______ a solution.
Answers
Is
Is not
The answer is not a solution
By direct evaluation, we will see that the pair (8,2) is not a solution of the system of equations.
Evaluating a system of equations.
A given point is a solution of a system of equations if and only if it is a solution for both equations, then to see if (8, 2) is a solution of the given system, we need to replace the values in both equations and see if it is a solution of each one.
For the first one we have:
x - y = 6
8 - 2 = 6
6 = 6
So (8, 2) is a solution of the first equation.
For the second one we have:
2x - 10y = 4
2*8 - 10*2 = 4
16 - 20 = 4
-4 = 4
Note that this equation is false, then the point (8, 2) is not a solution for the second equation, then the point is not a solution for the system of equations.
If you want to learn more about systems of equations, you can read:
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Determine the two z-scores that divide the area under the standard normal curve into a middle 0.874 area and two outside 0.063 areas.a. -1.45, 1.45
b. -1.39, 1.39
c. -1.53, 1.53
d. -1.46, 1.46
A sporting goods store is having a 15% off sale on all items. Which functions can be used to find the sale price of an
item that has an original price of X? You may choose more than one correct answer.
y=.85 x
Of(x) = 1.15
Sale = Original - 15
Of(x) = x - 15
Sale = Original - 15(Original)
Answer:
The function is:
[tex]f(x) = x - 0.15x[/tex]
Can also be written as:
[tex]Sale = Original - 0.15(Original)[/tex]
Step-by-step explanation:
Given that the sale percentage is 15%
In general, the sale price is calculated by finding the discount according to discount percentage and then subtracting the discount from original price.
Given that x is the original price
Then the discount will be:
[tex]Discount = Original Price * 0.15\\Discount = 0.15x[/tex]
The sale price will be:
[tex]Sale Price = Original\ Price - 0.15(Original\ Price)\\[/tex]
As x is the original price
[tex]f(x) = x - 0.15x[/tex]
Can also be written as:
[tex]Sale = Original - 0.15(Original)[/tex]
Carl bought an airline ticket. Two weeks ago, the cost of this
flight was $900. What is the percent increase?
HELPP
Answer:
hey can you give us the buying price of the ticket so we can find the increase? thanks :)
Step-by-step explanation:
Noah bought b burritos and paid c dollars. Lin bought twice as many burritos as Noah and paid twice the cost he did.
How do Noah's and Lin's orders compare?
A) They ordered the same number of burritos.
B) Noah ordered more burritos.
C) Lin ordered more burritos.
D) You don't know anything because there are no numbers, just letters.
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A packing machine can pack 2,500 boxes in 5 hours. At what rate does the machine work?
(HELP TAKING A TEST)
Answer:
500 boxes an hour?
Step-by-step explanation:
Answer:
The machine can pack 500 boxes in one hour
You can add +500 in case for more hours
Step-by-step explanation:
2,500 divided by 5 is 500.
3. The difference of the squares of two positive consecutive odd integers is 32. Find the
integers.
Answer:
7,9
Step-by-step explanation:
Let two consecutive odd integer=X and (X+1)
The difference of the squares of two positive consecutive odd integers is 32.
So(X+2)^2-x^2=32
(x^2+4+4x)-x^2=32
x^2+4+4x-x^2=32
4x=32-4
4x=28
X=28/4
X=7
So first integer=7
Second integer=7+2
=9.
Use substitution to solve the system of equations. How many solutions are there? 1/2x − 1/3y = 5 x = 2/3y + 10
Answer:
2 solutions cuz
2 variable are there
A recipe for whole wheat pizza crust calls for 1 1/2 cups of all purpose flour. Jeremy has 5 7/4 cups of all purpose flour. If he makes the recipe, how much flour will he have left?
Answer:
Jeremy has 5 1/4 cups of all purpose flour after preparing his recipe.
Step-by-step explanation:
Since the recipe for whole wheat pizza crust calls for 1 1/2 cups of all purpose flour, 1.5 cups of that product is required to create the meal in question.
Now, since Jeremy has 5 7/4 of all purpose flour, it can be stated that he has 6.75 cups of it (7/4 = 1.75).
Therefore, to determine the amount of flour that Jeremy will have left over after preparing the recipe, it is necessary to perform the following calculation:
6.75 - 1.5 = X
5.25 = X
So since 0.25 is equal to 1/4, Jeremy has 5 1/4 cups of all purpose flour after preparing his recipe.
13, 11, 9, 7 what is the recursive rule
Answer:
it is -2
Step-by-step explanation:
because 13-2=11-2=9-2=7-2=5-2=3-2=1
A music store sold 10 to the third power CDs and 10 to the second power cd players if each CD cost $12 in each CD player cost 35 what was the stores total earnings
Answer:
$15500
Step-by-step explanation:
10^3 x 12 = 12,000
10^2 x 35 = 3,500
12,000 + 3,500 = 15,500
Simplify:w^30/(w^3)^2
Answer:
Step-by-step explanation:
[tex](a^{m})^{n} = a^{m*n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{w^{30}}{(w^{3})^{2}} = \frac{w^{30}}{w^{3*2}}[/tex]
[tex]= \frac{w^{30}}{w^{6}}\\\\=w^{30-6}\\\\= w^{24}[/tex]
Answer:
w^24
You would simplify the expression by first finding the product of (w^3)^2 which is w^6. Next you would divide w^30 and w^6 which would get you your answer which is w^24. Hope this helps!
Consider an ANOVA procedure to compare five population means. In this case, the total number of pairs to be considered in multiple comparisons is ten. If the probability that the null hypothesis is falsely rejected at least once in all six pairs needs to be 0.05, the probability that the null hypothesis is falsely rejected in each pair should be:________. (Give your answer to 4 decimal places.)
Answer:
The right response is "0.0085". A further explanation is given below.
Step-by-step explanation:
Let,
P (across each pair, this same null hypothesis would be wrongly rejected) be "a".
Therefore,
⇒ [tex]P=1-P(no \ time \ rejected)[/tex]
⇒ [tex]1-(1-a)^6 =0.05[/tex]
⇒ [tex]1-a=0.95^{(\frac{1}{6} )}[/tex]
⇒ [tex]a=1-0.95^{(\frac{1}{6} )}[/tex]
⇒ [tex]0.0085[/tex]
Hurry help me pls
1/2 (6a + 8)=14
Answer:
a= 10/3
Step-by-step explanation:
multiply both sides by 2
get 6a +8 =28
subtract 8 from both sides
you get 6a=20
divide 6 both sides and 10/3.
Which equation is y = –6x2 + 3x + 2 rewritten in vertex form
Answer:
14 + 3x
Step-by-step explanation:
6x2= 12
12 + 3x + 2
=14 + 3x
Answer:
y =-6(x-1/4)^2+19/8
Step-by-step explanation:
I hope this helps I don't have an explanation I just got it right on EDG 2021
God Bless You!!!!!
Describe a situation that could be modeled with the ratio 3: 1.
Answer:
three boys to 1 girl
Step-by-step explanation:
a
Solve for the variable.
5t - 3 = 3t + 9
F
t = 6
0
t = 9
H
t = 3
J
t = 8
5t-3=3t+9
5t-3-3t=3t+9-3t
2t-3=9
2t-3+3=9+3
2t=12
2t/2 =12/2
t=6
You deposit $2000 in an account earning 7% interest compounded continuously. How much will you have in
the account in 15 years?
Answer:
$3,715.30
Step-by-step explanation:
Total P+I (A): $3,715.30
Principal (P): $2,000
Compound (n): Continuously
Time (t in years): 15 years
By plugging this into an interest rate calculator, the amount settles to be approximently $3,715.30
Hope this helps!
Kim made $5.35 on the first day
she set up her lemonade stand. If
she makes the same amount each
day for 6 days, how much money
will she have? (6-5)
A $42.80
B $37.30
C $32.10
D $28.70
Answer:
$32.10
Step-by-step explanation:
do 5.35 but six times and then add that all up then it will be 32.10
Answer:
C
Step-by-step explanation:
its c because 5.35 times 6 is C
Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs.
Does this situation represent additive inverses? Explain.
A
Yes; The numbers combine to eight.
B
Yes; The numbers combine to zero.
No; The numbers are both represented by the same integer.
D
No; The numbers cannot be added together.
Answer:
Yes this represents additive inverse,
Step-by-step explanation:
Since you are subtracting the same number 4 to get to zero.
What is the cost of a $40 after a 15% mark-up?
Answer:
Revenue: $46
Profit: $6
whoever answers correctly gets brainliest
im just answering for free points
Step-by-step explanation:
What is the slope of the line that is paralell to the line y=3/4 x +2
Answer:
m (parallel) = 3 /4
Step-by-step explanation:
on the graph Y will start on two