Answer:
40 cubic units
Step-by-step explanation:
1. Discriminate the solutions of the following quadratic equations.
(1) [tex]x^2+5x+3+a=0[/tex]
(2) [tex]x^2+(a+b)x+ab=0[/tex]
(Please show the steps if possible)
. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points
Answer:
45
Step-by-step explanation:
I just took test and got 100%Which function is decreasing on the same interval as the function graphed here?
The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.
What does it mean for a function to be decreasing?
When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.
That is when x1 < x2 then f(x1) ≥ f(x2)
What is the Proof of the above?Let F(x) = 4
Thus
f(4) = -(4)² + 4(4) -4
= 16 + 16 - 4
= 28
Now, let F(x) = 2
Thus
f(2) = -(2)² + 4(2) -4
= 4 + 8 - 4
= 8
Note that X1 = 4 and X2 = 2
Thus x1 < x2 then f(x1) ≥ f(x2).
Hence Option C is the decreasing function.
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Find the surface area of the prism
Answer:
192 km²
Step-by-step explanation:
Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism
✔️Base Area = ½*bh
b = 6 km
h = 8 km
Base area = ½*6*8 = 24 km²
✔️Perimeter of base = 6 + 8 + 10 = 24 km
✔️Height of prism = 6 km
Plug in the values into the equation:
Surface area = 2(24) + 24*6 = 48 + 144
Surface area = 192 km²
A right cylinder has a height of 8 inches and a volume of 400 cubic inches.
Which measurement is closest to the radius, in inches, of the cylinder?
A. 4
B. 8
С. 16
D. 50
Answer:
Step-by-step explanation:
its D because 400 divided by 8 is 50
[tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.
So, option A. is correct.
Volume of cylinderHeight of a cylinder [tex](h)=8[/tex] inches
Volume of a cylinder[tex]=400[/tex] cubic inches
Let [tex]r[/tex] denotes radius of a cylinder.
Volume of a cylinder [tex]=\pi r^2 h[/tex]
[tex]400=\frac{22}{7}r^2 (8)[/tex]
[tex]r^2=15.9\\r=3.99[/tex]
So, [tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.
So, option A. is correct.
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which is equivalent to 3/8^1/4? 8^3/4
A.10
B.6
C.5
D.2
Answer:
B I'm pretty sure..............
PLEASE HELP AGAIN. IM TIMED
Answer:
B, 3 8/9
Step-by-step explanation:
It all comes down to equivalent fractions.
2 1/3 as an improper fraction is 7/3.
1 5/9 as an improper fraction is 14/9. 1/3 = 3/9.
With that being said 7 x 3 = 21 resulting in 21/9.
14/9 + 21/9 = 35/9.
35/9 as a mixed fraction is 3 8/9.
Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?
1.Each sandwich has one half pound of ham.
2. Each sandwich has 1 pound of ham.
3. Each sandwich has 2 pounds of ham.
4. Kevin has one half pound of ham left over.
statement 1 b/c 6/12 = 1/2
The angle \theta_1θ
1
theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \sin(\theta_1)=\dfrac{9}{41}sin(θ
1
)=
41
9
sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 41, end fraction .
What is the value of \cos(\theta_1)cos(θ
1
)cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Trig identity are written in term of cosine, sine and tangent, he value of cosθ if the value of sinθ is 9/41 is 40/41
Trigonometry ratioGiven the following parameters
sinθ = 9/41
According to the SOH CAH TOA identity
sinθ = opposite/hypotenuse
Determine the adjacent sides
a= √41² - 9²
a = √ 1600
a = 40
Determine the value of cosθ
cosθ = adjacent/hypotenuse
cosθ = 40/41
Hence the value of cosθ if the value of sinθ is 9/41 is 40/41
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Answer:
-40/41
Step-by-step explanation:
Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answer:
231 dollars
Step-by-step explanation:
216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231
brainliest plz
Pls help mark barinlist
Answer:
okay sure Barnyst comingup
Step-by-step explanation:
help help please i did not understand
Answer:
The tree grows 3,14 centimeters per year
Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.
Step-by-step explanation:
Link= REPORT
Х
5 ft.
8 ft. M
24 ft.
(A) 13
(B) 15
(C) 17
(D) 11
Please someone help!!
Answer:
I think the answer is c
explanation:
Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
Write your answer as a coordinate point (hats, profit). HELP PLZ WHAT ARE THE EQUATIONS??
9514 1404 393
Answer:
(8, 1)
Step-by-step explanation:
Let x represent the number of hats sold by each seller.
__
Kenny's cost: $3
Kenny's revenue: $0.50x
Kenny's profit = revenue - cost: y = 0.50x -3
__
Ben's cost: $1
Ben's revenue: $0.25x
Ben's profit = revenue - cost: y = 0.25x -1
__
The profit and sales will be the same when the same (x, y) values satisfy both profit equations.
y = 0.50x -3
y = 0.25x -1
0.50x -3 = 0.25x -1 . . . . . substitute for y
0.25x = 2 . . . . . . . . . . . add 3-0.25x
x = 8 . . . . . . . . . . multiply by 4
y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation
The profit and sales will be the same for ...
(hats, profit) = (8, 1)
Which of the data sets below has a mean of 32? Select all that apply.
A) 45, 21, 33, 29
B) 18, 54, 24
C) 14, 56, 34, 18, 23
D) 34, 35, 21, 29, 46
Answer:
B is the correct answer
Step-by-step explanation: When you add 18+54+24=96 divide 96 by 3 and its 32!
3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3
Answer:
D. -3
Step-by-step explanation:
Sana nakatulong
How would you decide whether or 5 or 595 is greater?
Answer:
Well, the number 595 is exceptionally larger. You would be able to tell by simply subtracting 595 and 5 and you would get 590 leaving you with answer. 595 is greater
Step-by-step explanation:
Which expression is equivalent to (6^-2)^3
HELP THIS IF IS FOR MY NEXT YEAR CLASS LEVEL
Answer:
there is no question? may u add one plz so i can help?
Step-by-step explanation:
Answer:
huuhhh i dont get it and whers the question¿¿¿
What is the range of the function graphed below?
A. Y>-1
B X< -1
C X>-1
D Y< -1
LOOK AT THE GRAPH.
Answer:
Option A
Step-by-step explanation:
Range of a function is defined by the set of y-values (output values).
From the given graph,
Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)
Therefore, Range of the given exponential function will be y > -1
Option A will be the correct option.
If 25% is 14, what is 100%?
Answer:
56
Step-by-step explanation:
25% = 14
Therefore,
25%*4 = 14*4
100% = 56
Find the measure of A as indicates in the picture.
In case the picture blurs
Top angle = x + 63
Left angle = x + 96
Right angle = x + 149
Answer:
∠A = 58°
Step-by-step explanation:
all triangles contain 180°
180° - 149° = 31°
x + 63° + x + 96° + 31° = 180°
combine like terms:
2x + 190° = 180°
2x = -10°
x = -5°
∠A = -5° + 63° = 58°
how to simplify 12
16
Answer:
3/4
Step-by-step explanation:
12/16
divide both by 4
if thats even what what you needed
Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?
Answer:
24 gallons
Step-by-step explanation:
set up a proportion and cross-multiply:
g = # gallons
192/4 = g/0.5*
4g = 96
g = 24
*30 minutes = 0.5 hours
Find the unit cost if 7 dozen carnations cost $10.15. Show work.
Writing Activity: Analysis.
Several major events occur in Black Ships Before Troy. Choose one event to analyze, explaining how the plot unfolds and how the characters respond or change. Be sure to cite evidence from the text.
First, summarize the key event and the conflict that takes place.
Take notes on what the main characters are like and what they think and do.
Use your summary and notes as you write your essay. Include evidence from the text to support your ideas
Answer:
12345678910111213141516171819202122232425262728293031323334353637383940142434445446
Step-by-step explanation:
my name jeff
In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.
Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Randomly select 10 cars
This means that [tex]n = 10[/tex]
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]
Calculate the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]t = 3.24[/tex]
The test statistic is t = 3.24.
If f(x)= - 4x-4, g(x)= 4x² + 4x + 2, and h(x)= 3x2 – 3, find f(3).
f(3) =
(Simplify your answer.)
Answer:
[tex]f(3) = -16[/tex]
Step-by-step explanation:
Given
[tex]f(x)= - 4x-4[/tex]
[tex]g(x)= 4x^2 + 4x + 2[/tex]
[tex]h(x)= 3x^2 - 3[/tex]
Required
[tex]f(3)[/tex]
We have:
[tex]f(x)= - 4x-4[/tex]
Substitute [tex]x = 3[/tex]
[tex]f(3) = -4 * 3 - 4[/tex]
[tex]f(3) = -12 - 4[/tex]
[tex]f(3) = -16[/tex]
Hence:
[tex]f(3) = -16[/tex]
HELP PLEASE!!!!!!!!!!!
Answer:
x = 4
Step-by-step explanation:
7.5 + 7.5 = 15
[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]
cross multiply
15x = 60
divide
x = 4
or
since the bigger one is 2x smaller
8/2 = 4
Salaries for various positions can vary significantly, depending on whether or not thecompany is in the public or private sector. The U.S. Department of Labor posted the2007 mean salary for human resource managers employed by the federal governmentas $76,503. Assume the annual salaries for this type of job are normally distributedand have a standard deviation of $8850.a)What is the probability that a randomly selectedhuman resource manager received over $100,000in 2007?
Answer:
0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 76503, standard deviation of 8850.
This means that [tex]\mu = 76503, \sigma = 8850[/tex]
a)What is the probability that a randomly selected human resource manager received over $100,000 in 2007?
This is 1 subtracted by the pvalue of Z when X = 100000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{100000 - 76503}{8850}[/tex]
[tex]Z = 2.66[/tex]
[tex]Z = 2.66[/tex] has a pvalue of 0.9961
1 - 0.9961 = 0.0039
0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.