Answer:
100, -50, 25, -12.5, 6.25, -3.125, 1.5625, -0.78125Step-by-step explanation:
Each term is being multiplied by -0.5
How did I know?
Divide the second term by the first.
-50 divided by 100 = -1/2
Find the last four terms.
-12.5 x -1/2 = 6.25
6.25 x -1/2 = -3.125
-3.125 x -1/2 = 1.5625
1.5625 x -1/2 = -0.78125
Which type of function best models the data in the table? Justify your choice.
Answer:
quadratic function
Step-by-step explanation:
hope i helped :)
Answer:
quadratic function best models the data in the table
Zack is 7 years old than lacy. Ronnie is 23.Jane is 15 years younger than Ronnie and 16 years younger than Lacey.how old is lacey
:
What is 475.189 rounded to the nearest hundredth?
Answer:
It is:475.19.
HOPE THIS HELPED
Answer:
475.19.
Step-by-step explanation:
The hundredths place is two places to the right of the decimal, or (0.01).
In the number given, the number to the right of the hundredths place is larger than 5, meaning we will round up giving us:
475.189 --> 475.19.
Factor the expression. K2 - 100h2
Answer:
(k-10h) (k+10h)
Step-by-step explanation:
k^2 - 100h^2
Rewriting as
k^2 - (10h)^2
We recognize this as the difference of squares
We know the difference of squares is factored as a^2 -b^2 = (a-b)(a+b)
(k-10h) (k+10h)
Answer:
(k-10h) (k+10h)
Step-by-step explanation:
I need help solving this problem
Answer:
236
Step-by-step explanation:
A boat travels 432km in 24 hours how far can it travel in 16 hours?
Answer:
First find the distance per hour by dividing
432/24=18
multiply the rate with 16 hours
18 km per hour x 16 hours = 288 km in 16 hours
Step-by-step explanation:
Answer:
288km
Step-by-step explanation:
if a boat travels 432km in 24 hours .
then
it will cover x km in 16 hours
Using Direct Proportion:
[tex] \mathsf{x = \frac{432 \times 16}{24} } [/tex]
[tex] \mathsf{x = \frac{432 \times 2}{3} }[/tex]
[tex] \mathsf{ x = 144 \times 2}[/tex]
[tex] \boxed{ \mathsf{ \implies \: 288km}}[/tex]
hence the boat is gonna travel 288km in 16 hours
What is the range of the data below
23,33,25,16,27,43,29,40,35
Answer: 12
Step-by-step explanation: 35 - 23
Jeanine’s swimming pool has a diameter of 27 feet. Surrounding the pool is a deck that extends 5 feet from the edges of the pool. Jeanine wants to paint the deck and then put a fence around it. Paint costs $0.85 per square foot and fencing costs $8.25 per foot. How much will it cost Jeanine to paint the deck and add fencing?
Answer:
The total cost of painting the deck and add fencing is $1,386.79.
Step-by-step explanation:
Consider the diagram below.
The smaller circle represents Jeanine’s swimming pool with diameter,
d = 27 feet.
And the outer circle represents the deck.
The width of the deck is 5 feet.
Then the diameter of the bigger circle is:
D = 27 + 5 + 5 = 37 feet
It is provided that Jeanine wants to paint the deck and the paint costs $0.85 per square foot.
The cost of painting the deck can be computed using the formula:
Cost of painting = Area of Deck × Cost of paint/square foot
Compute the area of the deck as follows:
Area of Deck = Area of bigger circle - Area of smaller circle
[tex]=\pi R^{2}-\pi r^{2}\\\\=\pi(R^{2}-r^{2})\\\\=\frac{22}{7}\times [(\frac{37}{2})^{2}-(\frac{27}{2})^{2}]\\\\=502.86[/tex]
Then the cost of painting the deck is:
Cost of painting = Area of Deck × Cost of paint/square foot
[tex]=502.86\times \$0.85\\=\$427.431\\\approx \$427.43[/tex]
The cost of painting the deck is $427.43.
Now Jeanine also wants to put a fence around the deck.
The cost of fencing is, $8.25 per foot.
The cost of putting the fence can be computed using the formula:
Cost of putting the fence = Circumference of the big circle × Cost of fencing
Compute the cost of putting the fence as follows:
Cost of putting the fence = Circumference of the big circle × Cost of fencing
[tex]=2\pi R\times \$8.25\\\\=2\times \frac{22}{7}\times \frac{37}{2}\times \$8.25\\\\=\$959.36[/tex]
The cost of putting the fence is $959.36.
The total cost of painting the deck and add fencing is:
Total Cost = Cost of painting the deck + Cost of putting the fence
= $427.43 + $959.36
= 1386.79
Thus, the total cost of painting the deck and add fencing is $1,386.79.
Solve: 3x
+ 4 = 5x - 4x - 8
Answer:
3x = - 18
Step-by-step explanation:
1. Simplify this equation in terms of what is already provided:
3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8
2. Now subtract 3x from either side, at the same time adding 8 to either side: 3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x
3. Divide -2 on either side to isolate the x, and recieve it's value:
12 = -2x ⇒ x = 12/-2 ⇒ x = -6
4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18
A 95% confidence interval of 17.6 months to 49.2 months has been found for the mean duration of imprisonment, mu, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 11 months and a 99% confidence level. (Use sigmaequals45 months.) d. Find a 99% confidence interval for the mean duration of imprisonment, mu, if a sample of the size determined in part (c) has a mean of 36.5 months.
Answer:
a) [tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]
b) For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.
c) [tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]
So the answer for this case would be n=112
d) [tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]
[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]
Step-by-step explanation:
Part a
For this case we know that the cinfidence interval for the true mean is given by:
[tex] \bar X \pm E[/tex]
Where E represent the margin of error. For this case we have the confidence interval at 95% of confidence and we can estimate the margin of error like this:
[tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]
Part b
For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.
Part c
The margin of error is given by this formula:
[tex] ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (a)
And on this case we have that ME =11 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex] (b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The critical value would be [tex]z_{\alpha/2}=2.58[/tex], replacing into formula (b) we got:
[tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]
So the answer for this case would be n=112
Part d
The confidence interval for the mean is given by the following formula:
[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (1)
Replcaing the info given we got:
[tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]
[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]
Will mark brainlist and give extra points bth grade math
Answer:
the answer is d
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
Brainliest to whoever gets this CORRECT.
Answer:
yes
Step-by-step explanation:
yes
How to add or subtract this polynomial
Answer:
18x^2 + 9x - 5
Step-by-step explanation:
Combine like terms:
(9x^2-8) + (9x^2+9x+3)
= 9x^2 + 9x^2 + 9x - 8 + 3
= 18x^2 + 9x - 5
What is the value of sin(A)
Answer:
6/10
Step-by-step explanation:
Northlake high scores to lunch. Soon can eat their lunch in the cafeteria or on an outside patio about 35% of students who have first lunch eat outside compare this with a percenta
Answer:
The proportion of second lunch students who eat outside is more than that for the first lunch students.
Step-by-step explanation:
The complete question is:
Points Northlake High School has two lunch periods. Students can eat their lunch in the cafeteria or on an outside patio. About 35% of students who have first lunch eat outside. Compare this with the percentage of second-lunch students who eat outside.
Eat Outside Eat Inside Total
First Lunch 0.19 0.35 0.54
Second Lunch 0.22 0.24 0.46
Total 0.41 0.59 1.00
Solution:
The conditional probability of an event B given that another event A has already occurred is:
[tex]P(B|A)=\frac{P(A\cap B)}{P(A)}[/tex]
The probability of students who have second lunch (S) and eat outside (O) is:
P (S ∩ O) = 0.22
The probability of students who have second lunch (S) is:
P (S) = 0.41
Compute the proportion of student who eats outside given they have second lunch as follows:
[tex]P(O|S)=\frac{P(S\cap O)}{P(S)}[/tex]
[tex]=\frac{0.22}{0.41}\\\\=0.536583\\\\\approx 0.54[/tex]
The proportion of second lunch students who eat outside is more than that for the first lunch students.
-16 + 5x = -7(-6 + 8x) + 3 solvde for x
Answer:
X=1
Step-by-step explanation:
What is the quotient?
(6 * 108) = (1.5 x 10-4)
4 x 1012
4 x 104
4 x 10-32
4 * 10-2
Answer:
The first choice.
Step-by-step explanation:
6 * 10^8 / 1.5 * 10^-4
= (6/1.5) * (10^(8 - (-4))
= 4 * 10^12.
Answer:
4 x 1012
Step-by-step explanation:
Crane Company provided the following information from its accounting records for 2019.
Expected production 90000 labor hours
Actual production 76000 labor hours
Budgeted overhead $900000
Actual overhead $860000
How much is the overhead application rate if Crane Company bases the rate on direct labor hours?
$11.32 per hour
$9.56 per hour
$10.00 per hour
$11.84 per hour
Answer:
$10.00 per hour
Step-by-step explanation:
Overhead application rate which is also known as overhead absorption rate on the basis on labor hours is the total budgeted overhead for 2019 which is $900,000 divided by the expected production of 90,000 labor hours for the year.
overhead application rate=$900,000/90,000=$10 per hour
This implies that for every one hour worked overhead cost of $10 would be added to the other costs incurred.
The correct option then is the third option of $10.00 per hour
Giving brainliest for CORRECT awnser.
Answer:
B.
Step-by-step explanation:
So, first off, the quadratic formula is -b plus or minus sqrt(b^2-4ac)/2a. Plug the equation given, and you get B.
Rectangle ABCD has vertex coordinates A(-1,-1), B(-1, -3), C(-4,-3), and
D(-4,-1). It is translated 2 units to the left and reflected across the x-axis.
What are the coordinates of A"B"C"D?
Answer:
A"(-3, 1)
B"(-3, 3)
C"(-6, 3)
D"(-6, 1)
Step-by-step explanation:
first, find the coordinate after you move it to the left by simply adding 2 to the X coordinate because left and right is in the X plane.
you will get these;
A"(-3, -1)
B"(-3, -3)
C"(-6, -3)
D"(-6, -1)
Then, to find the new coordinate after getting the rectangle reflected across the x-axis, simply change all Y coordinate into positives.
HOPE THIS HELPS :))
Mjhs is refinishing a basketball court and decided to paint everything shown below blue. How many square feet will be painted blue?
Answer:
Mjhs needs 189.25 square feet of blue paint, approximately.Step-by-step explanation:
As you can observe in the image attached, the basketball court is a composite figure formed by a rectangle and half of a circle.
The rectangle has dimensions of 10 feet by 15 feet. The circle has a diameter of 10 feet.
The expression of this composite area would be
[tex]A= w \times l + \frac{\pi (\frac{l}{2} )^{2} }{2}[/tex]
Where [tex]w = 15 \ ft[/tex] and [tex]l = 10 \ ft[/tex]. Replacing these values, we have
[tex]A= 15 \times 10 + \frac{3.14 (\frac{10}{2} )^{2} }{2}\\ A=150 + \frac{3.14 \times 25}{2}=150+39.25 \\ A \approx 189.25 \ ft^{2}[/tex]
Therefore, Mjhs needs 189.25 square feet of blue paint, approximately.
What’s the correct answer for this?
Answer:
B.
Step-by-step explanation:
Reflection in the x-axis. when you reflect in the x axis, the x -axis remains the same but the y-axis becomes opposite. (It's sign is changed)
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Which value can be added to the set below without changing its mean?
{4, 10, 14, 18, 22, 22}
оооо
What’s the answer ahhhhhh
Answer:
0 because it has no value.
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
The mean of the first set is 15. If you add 15 to the set then it will equal 105. Then divide by 7 and then you get 15.
Hope this helps.
a candlemaker prices one set of scented candles at $10
y=10x
x= how many candles
how many tenths are in 4600
Answer:
4600 tenths as a Fraction
Since 4600 tenths is 4600 over ten, 4600 tenths as a Fraction is 4600/10.
4600 tenths as a Decimal
If you divide 4600 by ten you get 4600 tenths as a decimal which is 460.00.
4600 tenths as a Percent
To get 4600 tenths as a Percent, you multiply the decimal with 100 to get the answer of 46000 percent.
4600 tenths of a dollar
First we divide a dollar into ten parts where each part is 10 cents. Then we multiply 10 cents with 4600 and get 46000 cents or 460 dollars and 0 cents.
Step-by-step explanation:
Hope this helped!
Stay safe!!!
Answer:
Step-by-step explanation:
To answer this, multiply 4600 by 10: 46000. There are 46000 tenths in 4600.
Complete 10 for 5-8 points.
Answer:
$9
Step-by-step explanation:
So say the cost of 1 new release DVD movie is x.
The equation is 52 + 3x = 79
3x = 27
x = 9
Which statement about the relationship between different types of triangles is true?
An equilateral triangle is never an obtuse triangle.
An equilateral triangle is never an isosceles triangle.
A right triangle is always an isosceles triangle.
An obtuse triangle is always an acute triangle.
Answer:
its "A" because i got it right on my test
Step-by-step explanation:
A bag contains 3 red marbles and 6 blue marbles. A second bag contains 6 green marbles and 4 yellow marbles. You choose a marble from bag A and then a marble from bag B, what would be the probability of selecting one blue marble and one yellow marble?
Answer:
4/15
Step-by-step explanation:
Bag A
3 red marbles and 6 blue marbles. = 9 marbles
P(blue) = blue/total =6/9 = 2/3
Bag B
6 green marbles and 4 yellow marbles. = 10 marbles
P(yellow) = yellow/total=4/10 = 2/5
P(blue,yellow) = 2/3 * 2/5 = 4/15
The tuition at a college was $30,000 in 2012, $31,200 in 2013, and $32,448 in 2014. The tuition has been increasing by the same percentage since the year 2000.
The equation C(T) = LaTeX: 30000\cdot1.04^T
30000
⋅
1.04
T
represents the cost of tuition, in dollars, as a function of T, the number of years since 2012. Explain what the 30,000 and 1.04 tell us about this situation.
What is the percent increase in tuition from year to year?
What does C(3) mean in this situation? Find its value and show your reasoning.
a. Write an expression to represent the cost of tuition in 2007.
b. How much did tuition cost that year?
Previous Next
The meaning of each parameter is given as follows:
30,000: cost in the reference year of 2012.1.04: rate of change.Then the yearly percent increase is of:
4%.
C(3) represents the cost in 2015, which was of $33,746.
a) The expression to represent the cost in 2007 is of: C(-5).
b) The cost was of: $24,658.
How to define an exponential function?An exponential function is defined as follows:
y = ab^x.
In which:
a is the initial value.b is the rate of change.For this problem, the function is defined as follows:
y = 30000(1.04)^x.
In which:
x is the number of years since 2012.y is the cost in x years after 2012.C(3) represents the cost in 2015 and is obtained as follows:
C(3) = 30000(1.04)^3 = $33,746.
C(-5) represents the cost in 2007 and is obtained as follows:
C(-5) = 30000(1.04)^(-5) = $24,658.
(as 2007 was five years before 2012).
More can be learned about exponential functions at https://brainly.com/question/25537936
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