Find the third side in simplest radical form:
28
45
Answer:
20:23?
Step-by-step explanation:
\frac{5}{2}\mathrm{g}-\frac{1}{2}\mathrm{g}= 2 5 g− 2 1 g simlily
Answer:
ok
Step-by-step explanation:
find the surface area2 No files
Answer:
672 sq. inches
Step-by-step explanation:
total surface area:
[tex]2\times ( \frac{1}{2} \times 7 \times 24 ) + (7 \times 9) +(24 \times 9)+(25 \times 9)\\= 672[/tex]
40 divided by 28! HURRY!!
Answer:
fraction~ 10/7
decimal~ 1.428571
mixed number~ 1 3/7
Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number
Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? *
Answer: V=120
have an amazing day <3
Answer:what is the answer i dont understand
plz help
A number cube has faces 1 through 6. How many of the number on the cube are composite?
A. 1
B. 2
C. 3
D. 4
Answer:
B) 2 numbers
Step-by-step explanation:
composite #'s: 4, 6
prime #'s: 2, 3, 5
neither composite nor prime: 1
The Spanish club wants to raise $325.00 to attend a special program at
the Museum. The club decides to sell tacos at basketball games. The
tacos will sell for $1.50 for a small and $2.50 for a large. Write an
equation to relate the number of small and large tacos you must sell
to raise $325.00.
Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?
5
29
4
6
Answer:
48/20=2.4
12/2.4=5
Step-by-step explanation:
Kai can buy 5 bunches of grapes if she has $12.
Answer:
It's 29.
Step-by-step explanation:
48/20=2.4
12x2.4=28.8
Round up to 29.
In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5
Answer:
2:3
Step-by-step explanation:
V = 4/3*pi*r^3
Diameter = 2r
The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.
The upper number is called as the numerator and the lower is called the denominator.
For example, 3/4 where 3 will be numerator and 4 will be denominator.
Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.
Now volume of planets(sphere) = πD³/6 where D is diameter of sphere
So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³
⇒ V₁/V₂ ∝ (D₁/D₂)³
Given that V₁/V₂ = 8/27
So 8/27 = (D₁/D₂)³
D₁/D₂ = 2/3
Hence, the ratio of diameters of two planets will be 2/3.
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Help me please!
Consider the function f(x) = V2x – 4. Iff-'(x) is the inverse function of f(x), find
f-16)
Answer:
[tex]f^{-1}(6) = 50[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt{2x} - 4[/tex]
Required
Find [tex]f^{-1}(6)[/tex]
First, we calculate the inverse function
[tex]f(x) = \sqrt{2x} - 4[/tex]
Express f(x) as y
[tex]y = \sqrt{2x} - 4[/tex]
Swap the positions of x and y
[tex]x = \sqrt{2y} - 4[/tex]
Solve for y: Add 4 to both sides
[tex]4 + x = \sqrt{2y} - 4+4[/tex]
[tex]4 + x = \sqrt{2y}[/tex]
Square both sides
[tex](4 + x)^2 = 2y[/tex]
Divide both sides by 2
[tex]y = \frac{(4 + x)^2}{2}[/tex]
Express y as an inverse function
[tex]f^{-1}(x) = \frac{(4 + x)^2}{2}[/tex]
Next, solve for: [tex]f^{-1}(6)[/tex]
Substitute 6 for x
[tex]f^{-1}(6) = \frac{(4 + 6)^2}{2}[/tex]
[tex]f^{-1}(6) = \frac{(10)^2}{2}[/tex]
[tex]f^{-1}(6) = \frac{100}{2}[/tex]
[tex]f^{-1}(6) = 50[/tex]
Find (g times f) (3)
f(x)=3x-2
g(x)=x^2
The traffic flow rate (cars per hour) across an intersection is
r
(
t
)
=
300
+
600
t
−
90
t
2
, where
t
is in hours, and
t
=0 is 6am. How many cars pass through the intersection between 6 am and 9 am?
Answer:
990 cars
Step-by-step explanation:
Find how many cars pass through at 6am, t=0:
r(0)= 300+600(0)-90(0²) = 300
Find how many cars pass through at 9am, t=3:
r(3)= 300+600(3)-900(3²)=300+1800-810=1290
Find the difference (how many cars pass between 6am and 9am): 1290-300=990
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=24
Ha: μ ____ 24
Step 2 of 3:
What is the test statistic?
Step 3 of 3:
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
Answer:
Ha: μ < 24
The test statistic is z = -1.75.
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Step-by-step explanation:
A recent survey reported that small businesses spend 24 hours a week marketing their business.
This means that the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.
This means that the alternate hypothesis is:
[tex]H_a: \mu < 24[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
24 is tested at the null hypothesis:
This means that [tex]\mu = 24[/tex]
The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.
This means that [tex]n = 93, X = 23[/tex]
The population standard deviation is 5.5 hours
This means that [tex]\sigma = 5.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]
[tex]z = -1.75[/tex]
The test statistic is z = -1.75.
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.
Looking at the z table, z = -1.75 has a pvalue of 0.0401
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
PLEASE WILL NAME BRAINLIST
The table shows the length y (in inches) of a person’s hair after x months.
months x: 0 3 6
hair Length y:11.0 12.5 14.0
a. Write and graph a linear function that relates y to x .
y=
b. Interpret the slope and the y-intercept
The slope indicates that the hair length increases by what
inch per month. The y-intercept indicates that the initial hair length is what
inches.
Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero.
Answer:
[tex]\frac{x}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Required
Solve
[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]
Change the division to multiplication
[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]
Apply difference of 2 squares
[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]
Cancel out x - 3
[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]
Factorize 9x + 27
[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]
Cancel out x + 3
[tex]\frac{1}{9} * \frac{x}{1}[/tex]
Finally, this gives:
[tex]\frac{x}{9}[/tex]
) Solve
the problem please
Answer:
0.03703703703
Step-by-step explanation:
Look it up
Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c fewer cookies than she would have received had all of the cookies been evenly divided among the 8
grandchildren.
ining
How many cookies did Cindy receive?
Write your answer as an expression.
Answer:
12-c
Step-by-step explanation:
This is quite simple
We know grandma has made 96 cookies and IF all children 8 receive equal cookies
They would have 12 cookies each
Cindy got c less cookies
so we can say
12-c is what Cindy got
I guess grandma got hungry
Answer:
Step-by-step explanation:
98 = 8 = 12
cindy cookies = 12-c
Please answer this and I will give brainliest
Answer:
D is the right answer [(2f+2) / 2(s^3) ]
Find the 5th term of the arithmetic sequence -5x – 5, -12x – 8,
- 19x – 11, ...
Answer:
5th term of AP = -33x - 17
Step-by-step explanation:
Given:
Arithmetic sequences;
[-5x - 5], [-12x - 8], [ - 19x - 11] , ...
Find:
5th term of AP
Computation:
First term a = [-5x - 5]
Common difference d = a2 - a1
Common difference d = [-12x - 8] - [-5x - 5]
Common difference d = -12x - 8 + 5x + 5
Common difference d = -7x -3
5th term of AP = a + [n-1]d
5th term of AP = [-5x - 5] + [5-1][-7x -3]
5th term of AP = [-5x - 5] + [4][-7x -3]
5th term of AP = [-5x - 5] -28x -12
5th term of AP = -5x - 5 -28x -12
5th term of AP = -33x - 17
the final game is altered. bag one 5 red balls
Answer:
what are you talking about
Step-by-step explanation:
Answer:
five red balls one bag
A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic meters.
Answer:
the volume of the rectangular swimming pool is 660 meters cubic
Step-by-step explanation:
you multiply 15x11x4
Analysis of the venom of seven eight-day-old worker bees yielded the following observations on histamine content in nanograms: 649, 832, 418, 530, 384, 899, 755.
(a) Construct by band a 90% CI for the true mean histamine content for all worker bees of this age. What assumptions, if any, are needed for the validity of the CI?
(b) The true mean histamine content will be in the CI you constructed in part (a) with probability 90%. True or false?
(c) Find the confidence level of the CI (418, 832) for the population median histamine content.
Answer:
a.
• The population is normally distributed
• The 7 subjects represent a random sample from this population
b. True
c. 74.16%
Step-by-step explanation:
on using data [649, 832, 41 8, 530, 384, 899, 755] (please correct if wrong)
sample mean: 638.143
s: 201.72
Sample Mean = 638.143
SD = 201.72
Sample Size (n) = 7
Standard Error (SE) = SD/root(n) = 76.243
alpha (a) = 1-0.9 = 0.1
we use t-distribution as population standard deviation is unknown t(a/2, n-l ) = 1.9432
Margin of Error (ME) = SE = 148.1554
90% confidence interval is given by: Sample Mean +/- (Margin of Error) 638.143 +/- 148.1554 = (489.9876 , 786.2984)
• The population is normally distributed
• The 7 subjects represent a random sample from this populatio
(b) true, this is the definition of Cl
(c) (41 8, 432) has width = 14
hence, Margin of error = 7
sorted data is 384, 418, 530, 649, 755, 832, 899
Here 418 and 432 are 2nd and 6th entry of sample size of 7
Since median is given by (1 + n/2 + z(alpha/2)*sqrt(n) /2 )th entry on the right, we conclude that 1 + (3.5 + this gives z = 1.1339 ==> alpha = 0.2584
Hence this Cl is of 74.16% (approximately)
Note that your course might have given a different formula for calculating Cl medians from sample.
In the year 2009, a company made $5.4 million in profit. For each consecutive year after that, their profit increased by 11%. How much would the company's profit be in the year 2012, to the nearest tenth of a million dollars?
Answer:
Hi Grif05!
Your answer is 7.1 million.
To be exact , 7182000
Step-by-step explanation:
The distance between 2009 and 2012 is 3 years so we multiply.
11x3=33.
Now we must find 33% of 5.4 million.
33 % of 5.4 million is 1782000.
33% of 5400000 = 1782000
We then add 33% of 5.4 million to itself.
We get an answer of 7182000.
Hope this helps! Tell me if I'm wrong please :)
Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?
A.
$24.95
B.
$399.20
C.
$2,495
D.
$294.86
Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long.
If Roger is 4.5 feet tall, what is the height of the tree?
O A. 12 ft
OB. 16.5 ft
O C. 19.5 ft
OD. 27 ft
Answer:
the answer should be 27 ft
sorry if I'm wrong
The height of the tree will be 27 ft. The correct option is D.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.
The height of the tree will be calculated as,
Height = ( 18 x 4.5 ) / 3
Height = 6 x 4.5
Height = 27 ft
Hence, the height will be 27 ft.
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Estimate 719 – 274. Round each number first.
Need help on this subject ????
9514 1404 393
Answer:
(c) 2
Step-by-step explanation:
The product of the lengths to the near and far circle intercepts is the same for both secants.
3×(3+5) = 4×(4+x)
24 = 16 +4x . . . simplify
6 = 4 +x . . . . . . divide by 4
2 = x . . . . . . . . .subtract 4
Question 8
Which property justifies the fact that 5(x - 2) is equivalent to 5x - 10?
commutative
associative
O distributive
What is the answer to this
Answer:
4)
Step-by-step explanation:
This is in standard form. To change it to slope-intercept form, you would divide 2x by 3y and you would divide 6 by 3y. That would make the equation y = [tex]\frac{2}{3}[/tex]x + 2. y = mx + b, and slope = m, so on answer choice 4, slope would equal [tex]\frac{2}{3}[/tex].
Andy sold his used bike and accessories for 246. He received 5 times as much money for the bike as he did for the accessories, how much did he receive for the bike
Answer:
1230 is how much he received for the bike
Step-by-step explanation:
