Answer:
either one will work.
you can either multiply length times width or you can add all the sides together.
Step-by-step explanation:
hope this helps
have a good day
Answer:
mulitpy
Step-by-step explanation:
area= L x W
(Length x Width = Area)
Express f(x) in the form f(x) = (x - k)q(x) +r for the given value of k.
f(x) = 4x^3+ x² + x-8, k= -1
Answer:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Step-by-step explanation:
We have:
f(x) = 4*x³ + x² + x - 8
We want to write this in:
f(x) = (x - k)*q(x) + r.
with k = -1
Then we want to write:
4*x³ + x² + x - 8 = (x - (-1))*q(x) + r
4*x³ + x² + x - 8 = (x + 1)*q(x) + r
Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.
then:
q(x) = a*x² + b*x + c
Then:
4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r
4*x³ + x² + x - 8 = a*x³ + b*x² + c*x + a*x² + b*x + c + r
if we take common factors in the right side we get:
4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)
Now, we must have:
4*x³ = a*x³
then:
4 = a
We also must have:
x² = (b + a)*x²
1 = (b + 4)
1 - 4 = b
-3 = b
We also must have:
x = (c + b)*x
1 = (c + (-3))
1 + 3 = c
4 = c
And finally:
- 8 = (c + r)
-8 = 4 + r
-8 - 4 = r
-12 = r
Then:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Please help ! Please help! I put extra points! And I will heart you!
Answer:
89 degrees
Step-by-step explanation:
Answer:
91 degrees
Step-by-step explanation:
180-89=91 degrees
180 is the line that 89 degrees is on.
Please answer this thanks
(●´⌓`●)(●´⌓`●)(●´⌓`●)
Answer:
1) A
2) A
3) D
4) B
5) D
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
If any 2 parallel lines are cut by a transversal line , then :-
its corresponding angles on same side [a pair of an interior angle and it's corresponding exterior angle (but not its adjacent exterior angle)] are equal.its alternate interior angles are equal.its alternate exterior angles are equal.__________________________________________________________
Q1)
According to the figure on the right side of the question paper ,
∠2 & ∠8 are interior angles on the same side∠2 = ∠7 (∵ Alternate interior angles are equal)So,
∠7 + ∠8 = 180°
⇒ ∠2 + ∠8 = 180° (∵ ∠2 = ∠7)
Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.
Q2)
According to the figure on the question paper ,
∠5 & ∠3 are exterior angles on the same side∠1 = ∠5 (∵ Corresponding angles are equal)So ,
∠1 + ∠3 = 180°
⇒ ∠5 + ∠3 = 180° (∵ ∠1 = ∠5)
Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.
Q3)
According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.
Q4)
According to the figure , m∠1 = 129°.
Also , ∠1 & ∠7 are interior angles on the same side.
⇒ They are supplementary angles.
⇒ ∠1 + ∠7 = 180°
⇒ ∠7 = 180° - 129° = 51°
So , the correct option is B.
Q5)
According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20
Also , ∠2 = ∠6 (∵ Corresponding angles are equal)
⇒ 3x - 10 = 2x + 20
⇒ 3x - 2x = 20 + 10
⇒ x = 30
So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)
Hence , the correct option is D.
find the number of bacteria after 10 minutes?
Answer:
Number of bacteria when t = 10 min is 3,000
Step-by-step explanation:
Given:
Number of bacteria in a culture by equation
Q(t) = 2(729^t)
Value of t = 10 min = 10 / 60 = 0.1667 hour
where t is number of hours
Find:
Number of bacteria when t = 0.1667 hour
Computation:
Given equation
Q(t) = 2(729^t)
Put t = 0.1667
Q(10) = 2(729⁰'¹⁶⁶⁷)
We know that;
a⁰ = 1
So,
Q(0.1667) = 2(729⁰)
Q(0.1667) = 3
Number of bacteria when t = 0 is 3,000
Suppose that a researcher is interested in estimating the mean systolic blood pressure,u, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate u. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 25 mm Hg, what is the minimum sample size needed for the researcher to be 90% confident that his estimate is within 5 mm Hg of u?
Answer:
The minimum sample size needed is 68.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 25 mm Hg.
This means that [tex]\sigma = 25[/tex]
What is the minimum sample size needed for the researcher to be 90% confident that his estimate is within 5 mm Hg of u?
This minimum sample size is n.
n is found when M = 5. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5 = 1.645\frac{25}{\sqrt{n}}[/tex]
[tex]5\sqrt{n} = 1.645*25[/tex]
Dividing both sides by 5
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.65[/tex]
Rounding up:
The minimum sample size needed is 68.
40 cricket players and 20 kabaddi players are training on a field. what is the ratio of kabaddi players to the total number of players ?
Answer:
1:3
Step-by-step explanation:
Given thatm
No. of cricket players = 40
No. of kabaddi players = 20
Total no. of players = 40 + 20
= 60
The ratio of kabaddi players to the total number of players is :
R = 20:60
R = 2:6
R = 1:3
Hence, the required ratio is 1:3.
Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years. How much interest will he pay? What is the loan Jim will pay over the course of the 5.5 years?
Answer:
4,331.25 in interest
Step-by-step explanation:
22,500.00x3.5%=787.50x5.5=4,331.25
22,500.00+4,331.25=26,831.25 total loan
Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years.The loan amount Jim will pay over the course of 5.5 years is $26,823.75.
To calculate the interest Jim will pay and the total loan amount over 5.5 years, we can use the formula for simple interest:
Interest = Principal * Rate * Time
Total Loan = Principal + Interest
Given:
Principal (P) = $22,500
Rate (R) = 3.5% (expressed as a decimal, 0.035)
Time (T) = 5.5 years
Calculating the interest:
Interest = $22,500 * 0.035 * 5.5
Interest = $4,323.75
Jim will pay $4,323.75 in interest over the course of 5.5 years.
Calculating the total loan:
Total Loan = Principal + Interest
Total Loan = $22,500 + $4,323.75
Total Loan = $26,823.75
Therefore, the loan amount Jim will pay over the course of 5.5 years is $26,823.75.
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Full question
Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years. How much interest will he pay? What is the loan Jim will pay over the course of the 5.5 years?
( No graph Needed)
If the distributions of ratings are the same for those Snoqualmie members living less than 25 miles from the
waterfall and those living more than 25 miles from the waterfall, which of the following is equal to the expected
count of members living less than 25 miles from the waterfall who rated the cultural importance as high?
Answer:E
Step-by-step explanation:
( row total * column total ) / ( Table total)
a vacuum had been marked down by 20% and solf for $250. What was the original price of the vacuum?
Answer:
The original price was $312.50
Step-by-step explanation:
If the vacuum was marked down by 20%, that means it was sold for 80% of the full price. It was sold for $250, so 80% of the original price is $250.
Let's set up an equation.
80/100 of x = 250
0.8 • x = 250
Divide both sides by 0.8.
x = 312.50
The original price was $312.50
Hope this helps!
Answer:
I think the answer is 250.00
Step-by-step explanation:
Let the original price = x
Original Price - Markdown = Sales Price
x - (20%)x = $250
Note: 20% may be 0.20 or 20/100 as needed by the problem.
x - 0.20x = $250
0.80x = $250
x = $312.50
Check:
Is 312.50 - (0.20)312.50 = 250.00 ?
(0.80)(312.50) = 250.00 ?
250.00 = 250.00 ?yes
Hope this help you! :)
What is the area of the shape?
40 square centimeters
76 square centimeters
100 square centimeters
224 square centimeters
Answer:
76 sq. centimeters.
Step-by-step explanation:
Answer:
76 square centimeters
Step-by-step explanation:
Break it down into easier shapes.
There is one rectangle and one square. Both of them share the same formula for calculating area: length × width.
The rectangle is 6 cm long and 10 cm wide.
Plug this into the formula:
6 cm × 10 cm = 60 cm^2
The square is 4 cm wide. It does not directly say how long it is. Instead, notice how the rectangle below it is 6 cm long and adding the square to it totals to 10 cm long. This means the square is the difference between the total amount of cm and the rectangle's cm. Calculate the difference:
10 cm - 6 cm = 4 cm.
The square is 4 cm long and 4 cm wide.
Plug this into the formula:
4 cm × 4 cm = 16 cm^2
Add both areas together:
60 cm^2 + 16 cm^2 = 76 cm^2
The question is in Spanish though
Answer:
The total will be 200, I agree to this person bc i did the math, and he or she is correct
Step-by-step explanation:
[need math help] Study buddies part #2
Answer:
Part A) The distance between Whitney's house and Anh's house is 6.5 miles.
Part B) The total distance traveled by Whitney during the trip was 9.5 miles.
Step-by-step explanation:
Part A)
Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.
So, instead, we can calculate Whitney's total displacement. Total displacement is given by:
[tex]\displaystyle \text{Displacement}=\int_a^bv(t)\, dt[/tex]
Where v(t) is the velocity function.
So, the displacement of Whitney when she traveled from her house to Anh's house will be:
[tex]\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt[/tex]
To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.
The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:
[tex]\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt[/tex]
Now, we can calculate the area of each figure.
The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:
[tex]\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}[/tex]
The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:
[tex]\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}[/tex]
Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:
[tex]\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}[/tex]
However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.
Then the displacement will be:
[tex]\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}[/tex]
So, the distance between Whitney's house and Anh's house is 6.5 miles.
Part B)
The total distance differs from displacement in that it includes all the distances in both directions. It is given by:
[tex]\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt[/tex]
In other words, all of our values are now positive. We will utilize the same strategy:
[tex]\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt[/tex]
Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:
[tex]\displaystyle \text{Distance} =5.6+1.5+2.4=9.5[/tex]
Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.
- A statistical question is answered by a distribution of results.
?
True or false
A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?
Answer:
The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.
Step-by-step explanation:
Multiply [tex]2\frac{1}{4}[/tex] by 5.
[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]
Answer:
11.25 or 45/4
Step-by-step explanation:
2 1/4 times 5
A store charges $12.50 for 5 boxes of cookies. A second store charges $8.00 for 4 boxes of cookies, but you have to buy a gallon of milk for $3.00 to get that deal. Write the cost model equations for both stores, and find the number of boxes of cookies that makes the cost equal?
Answer:
20
Step-by-step explanation:
12.50-8.00=3.00
The number of boxes of cookies that makes the cost equal is 6.
What is an Equation?An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.
For the first store,
Cost for 5 boxes of cookies = $12.50
Cost for 1 box of cookie = 12.50 / 5 = $2.50
Cost for x box of cookies = 2.50x
For the second store,
Cost for 4 boxes of cookies = $8
Cost for 1 box of cookie = $8 / 4 = $2
Cost for x box of cookies = 2x
But you have to buy a gallon of milk for $3.00 to get that deal.
Total cost for x boxes of cookies = 2x + 3
Hence the cost model equations are :
C(x) = 2.50x and C(x) = 2x + 3
Cost will be equal when,
2.5x = 2x + 3
0.5x = 3
x = 6
Hence 6 boxes of cookies make both cost equal.
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Please help meeeeeee
The solution is (4, 125). This means that the cost of being in soccer and band for four months is the same, $125. It's where the costs of those two clubs intersect.
Step-by-step explanation:
The solution to a system of linear equations is the point where the two functions intersect. You can see from the graph that the two lines intersect at the point (4, 125)
How many more sides does a nonagon have than a triangle?
Answer:
6
Step-by-step explanation:
Nonagon=9sides
Triangle=3sides
Difference=9-3=6
Using formula B=p(1+r)5
=$1000(1+0.05)5
1000(1.05)5
1000(1.2762815625)
total=1276.28
using formula above, calculate balance if interest is compounded annually. $800.00 at 4% interest for 2 years
how did I get the (1.2762815625)
multiplying what numbers?
Answer:
45.5
Step-by-step explanation: NUN
PLEASE HURRY THIS TEST IS TIMED
Use the distributive property to factor out y.
5 y minus 3 y + 12
The new expression becomes
A. 8 y + 12.
B. Negative 2 y + 12.
C. 2 y + 12.
D. 14 y.
Answer:
2y+12
Step-by-step explanation:
First you subtract 5 and 3 so that you can combine them. THen, you put the solution together.
FIND THE VALUE OF X.
Answer:
x = 6
Step-by-step explanation:
From the diagram AB = BC
4x-9 = 15
Add to both sides
4x-9+9 = 15 + 9
4x = 24
Divide both sides by 4
4x/4 = 24/4
x = 6
Hence the value of x is 6
Two parallel lines are crossed by a transversal.
What is the value of x?
Answer:
what are the questions
Step-by-step explanation:
Please i need help :(
Answer:
Step-by-step explanation:
7 is 1
8 is 2
I need help on this please! Thanks
Answer:
B. The product of 5 and a number.
Product means multiplication is taking place. In this case, 5 is being multiplied with n.
Hope this helps!
x5 + 2 = 12 = a 50 b 58 c 62 d70
Answer:
^5 √ 10
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
ℎ()=―4+ 5, find the value of ℎ(–3)
Answer:
Step-by-step explanation:
Suppose that f(2) = −4, g(2) = 3, f '(2) = −5, and g'(2) = 1.
Find h'(2).
(a) h(x) = 4f(x) − 5g(x)
Use the constant multiple and difference rules:
h'(x) = 4f '(x) − 5g'(x)
h'(2) = 4*f'(2) − 5*g'(2), now substitute values and solve
h'(2) = 4*(−5) − 5*1 = −20 − 5 = −25
whats is the zero of function ?
A -3
B-3/2
C-2/3
D-2
Answer:
D. -2
Step-by-step explanation:
The zero of a function is always along the x-axis and in this case that's -2.
Hope this helps :)
If f(n) = n 2 - n, then f(-4) is
Answer:
f(-4) =20
Step-by-step explanation:
f(-4) = [tex](4)^{2}[/tex] +4 ( Insert -4 in)
f(-4) = 16+4
f(-4) =20
Brainlest and 50 points hurry
Translate this into number
Answer:
15+25x
i guess it is done this way
sry if it is wrong
Answer:
i cant read it it pretty but i still cant read it sorry
Step-by-step explanation:
sorry
I need help ASAP please
Answer:
360
Step-by-step explanation:
Volume of a rectangle is length times width times height
Which expression is equivalent to
Answer:
D is the answer
Step-by-step explanation:
2j²/3k⁴ simplified form
The answer is The last answer choice 2j to the power of 2 over 3k to the power of 4