Answer:
28
Step-by-step explanation:
Answer:
56 divided by 2 would be 28.
Step-by-step explanation:
[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.
I need your help ASAP
9514 1404 393
Answer:
12. x = 5
13. -8, 0
14. 6
Step-by-step explanation:
12. The area of a square with side length s is ...
A = s²
The problem statement tells us the relationship between the areas is ...
(x cm)² = (1/9)(15 cm)²
Taking the square root, we have ...
x cm = (1/3)(15 cm)
x cm = 5 cm . . . . . . . simplify
x = 5
__
13. The rule is ...
a[n] = (a[n-1] +8)/2 = (1/2)a[n-1] +4
For a[1] = -24, a[2] = (1/2)(-24) +4 = -8
For a[2] = -8, a[3] = (1/2)(-8) +4 = 0
The next two terms are -8 and 0.
__
14. The rule is ...
a[n] = (a[n-1] -1)×5
Solving for the previous term, we find ...
a[n] = 5·a[n-1] -5 . . . . . eliminate parentheses
a[n] +5 = 5·a[n -1] . . . . add 5
a[n-1] = (a[n] +5)/5 . . . . divide by 5
For a[3] = 120, a[2] = (120 +5)/5 = 25
For a[2] = 25, a[1] = (25 +5)/5 = 6
The first term of the sequence is 6.
Identify each expression and value that represents the area under the curve y= x^2+4 on the interval [-3, 2].
The area is given exactly by the definite integral,
[tex]\displaystyle\int_{-3}^2(x^2+4)\,\mathrm dx=\left(\frac{x^3}3+5x\right)\bigg|_{-3}^2=\frac{95}3\approx31.67[/tex]
We can write this as a Riemann sum, i.e. the infinite sum of rectangular areas:
• Split up the integration interval into n equally-spaced subintervals, each with length (2 - (-3))/n = 5/n - - this will be the width of each rectangle. The intervals would then be
[-3, -3 + 5/n], [-3 + 5/n, -3 + 10/n], …, [-3 + 5(n - 1)/n, 2]
• Over each subinterval, take the function value at some point x * to be the height.
Then the area is given by
[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\Delta x_k=\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\frac5n[/tex]
Now, if we take x * to be the left endpoint of each subinterval, we have
x * = -3 + 5(k - 1)/n → f (x *) = (-3 + 5(k - 1)/n)² + 4
If we instead take x * to be the right endpoint, then
x * = -3 + 5k/n → f (x *) = (-3 + 5k/n)² + 4
So as a Riemann sum, the area is represented by
[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(\left(-3+\frac{5k}n\right)^2+4\right)\frac5n[/tex]
and if you expand the summand, this is the same as
[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(13-\frac{30k}n+\frac{25k^2}{n^2}\right)\frac5n=\lim_{n\to\infty}\sum_{k=1}^n\left(\frac{65}n-\frac{150k}{n^2}+\frac{125k^2}{n^3}\right)[/tex]
So from the given choices, the correct ones are
• row 1, column 1
• row 2, column 2
• row 4, column 2
Answer:
Step-by-step explanation:
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! :)
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
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.
The manufacturer of a certain brand of aluminum foil claims that the amount of foil on each roll follows a Normal distribution with a mean of 250 square feet (ft^2) and a standard deviation of 2 ft^2 . To test this claim, a restaurant randomly selects 10 rolls of this aluminum foil and carefully measures the mean area to be ¯ = 249.6 ft2 .
Find the probability that the sample mean area is 249.6 ft^2 or less if the manufacturer’s claim is true.
0.4207
0.0228
0.5793
0.7364
0.2636
Answer: 0.4207
Step-by-step explanation:
Let [tex]\overline{x}[/tex] be the sample mean area.
Given: Population mean : [tex]\mu=250[/tex] sq. feet
Standard deviation: [tex]\sigma=2[/tex] sq. feet
Sample size : n= 10
The probability that the sample mean area is [tex]249.6 \text{ ft}^2[/tex] or less if the manufacturer’s claim is true.
[tex]P(\overline{x}<249.6)=P(\dfrac{\overline{x}-\mu}{\sigma}<\dfrac{249.6-250}{2})\\\\= P(z<-0.2)\ \ \ \ [z=\dfrac{\overline{x}-\mu}{\sigma}]\\\\=1-P(z<0.2)\\=1- 0.5793\\\\=0.4207[/tex]
Required probability = 0.4207
Using the normal distribution and the central limit theorem, it is found that the probability that the sample mean area is 249.6 ft^2 or less if the manufacturer’s claim is true is of 0.2636.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 250 ft², hence [tex]\mu = 250[/tex].The standard deviation is of 2 ft², hence [tex]\sigma = 2[/tex].A sample of 10 rolls is taken, hence [tex]n = 10, s = \frac{2}{\sqrt{10}}[/tex].The probability that the sample mean area is 249.6 ft^2 or less if the manufacturer’s claim is true is the p-value of Z when X = 249.6, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{249.6 - 250}{\frac{2}{\sqrt{10}}}[/tex]
[tex]Z = -0.6325[/tex]
[tex]Z = -0.6325[/tex] has a p-value of 0.2636, which is the probability.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
What's the surface area?
Answer:
24
Step-by-step explanation:
8 x 3 = 24
On Mother’s Day, 86 children were interviewed, and 15 said they were going to buy a chocolates for their mother, 25 said they were going to take their mother for vacation and 18 said they were going to buy their mother roses. Of these, 8 said they were going to buy a chocolate and take their mother for vacation. Five said they were going to buy both chocolate and roses, and eleven said they were going to buy their mother roses and take their mother for vacation. Only two children said they were going to treat their mother to all three, but chocolates, roses and take for vacations.
i. Illustrate the situation above with the Venn diagrams.
ii. How many children are going to buy chocolates and take their mother for vacation but not
buy them roses.
Answer:
do you need the answer?
Step-by-step explanation:
?
Please help, if you’re correct I’ll mark you as brainiest!!!
Answer:
A
Step-by-step explanation:
950 is 95% of 1000
so he lost 5 percent, which can be represented as -5.0%
Answer:
Step-by-step explanation:
because the value went down.. we know the the rate of return , is negative. then we just have to think about , how much is 50 of 1000 ?? well 10 is 10% of 100 right? so 100 is 10% or 1000, right? sooo half of 100, or 50, is 5% of 1000,
so -5% is the return on investment (roi)
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)
CAN BOTS JUST PLEASE STOP REPOSTING THE SAME RESPONSE AND SOMEONE PLEASE HELP ME
Answer:
y=-5x+-3
Step-by-step explanation:
the slope is negative and its rise over run so 5/1 which is five and the y intercept is -3
//////////help me\\\\\\\\\\\\\
Answer:
c the answer is c just trust me
Please help, I’m not sure if I’m doing this right (math). 9 says 9x-47 btw.
Answer:
<1 = 43
<2= 17
<3= 120
<4=60
<5= 60
<6= 60
<7 =17
<8= 120
<9= 43
Step-by-step explanation:
< 4, <5, <6 are all 60
<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120
<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120
Angles 1 and 9 are congruent
4x+3=9x-47
50=5x
10=x
<1= 4(10)+4= 43
<9-9(10)-47=43
Now you have 2 angles for the triangle A B D- subtract the 2 known from 180
<2= 180-43-120=17
<7= 180-43-120=17
Find the area in square inches of the figure shown.
Answer:
96 [tex]in^2[/tex]
Step-by-step explanation:
48+12+36 (I divided it into 3 rectangles and added them up)
= 96 [tex]in^2[/tex]
Feel free to mark it as brainliest :D
I need work shown as well
Answer:
A
Step-by-step explanation:
area of the triangle is 5 x 2/ 2 which is 5
area of the square is 25
area of the semi circle is 1/2 * 3.14 * 2.5^2 which is 9.8125
9.8125. + 25 + 5 = 39.8125
Choose the best description of an angle.
A. An angle is formed where two rays meet at a common endpoint.
B. An angle is the point where two rays meet.
C. An angle is part of a line that has one endpoint and extends forever in one direction.
D. An angle extends forever in both directions.
Answer:
A. An angle is formed...
Answer:
An angle is formed where two rays meet at a common endpoint.
Step-by-step explanation:
Here are some facts about units of length.
Unit
Symbol
Fact
inch
foot
ft
1 ft = 12 in
yard
yd
1 yd = 3 ft
Fill in the blanks.
3 ft =
in
8 yd =
Answer:
3 ft = 36 in
8 yd = 24 ft
Step-by-step explanation:
1 ft = 12 in, 3 ft = 36 in
1 yd = 3 ft, 8 yd = 24 ft
x5 + 2 = 12 = a 50 b 58 c 62 d70
Answer:
^5 √ 10
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
A kite flying in the air has a 78-string attached to it, and the string is pulled taut. The angle of elevation of the kite is 52°. Find the height of the kite. Round
your answer to the nearest tenth.
Answer:
sine 52 degrees = height / 78
height = 78 * sine 52
height = 78 * 0.78801
height = 61.46478 feet
rounded to nearest tenth 61.5 feet
Step-by-step explanation:
Please help will give brainlist
Answer:
Sum
Step-by-step explanation:
Remember that the plus sign (+) always means to add.
Answer:
It would be the sum of a number and eight.
Find the slope, or rate of change, from the following ordered pair: (-2, 17) and (-1,5)
Answer:
Slope, m = -12
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-2, -1)
Points on the y-axis (y1, y2) = (17, 5)
To find the slope, m;
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {5 - 17}{-1 - (-2)} [/tex]
[tex] Slope, m = \frac {-12}{-1 + 2} [/tex]
[tex] Slope, m = \frac {-12}{1} [/tex]
Slope, m = -12
Is There only one way to solve a equation, and if so please support your thinking.
Answer:
No
Step-by-step explanation:
Theirs always multiple ways to solve something, even if their is only one way to solve it. We all think things through differently
Calculator display for
1/9
Answer:
Here ya go :)
Step-by-step explanation:
Hope this helps!
Have a nice day <3
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.
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
In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below?
Answer:commutative property
Step-by-step explanation:
Did it on edge
What type of quadrilateral is quadrilateral ABCD if AB=4x-2, BC=2x+12, DC=3x+5, AD=6x-16, AC=4x+12, DB=8x-10, and x=7? Explain and use the properties of the types of quadrilaterals as proofs.
Answer:
The quadrilateral ABCD is a square.
Step-by-step explanation:
According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that [tex]x = 7[/tex], [tex]AB = 4\cdot x - 2[/tex], [tex]BC = 2\cdot x + 12[/tex], [tex]DC = 3\cdot x +5[/tex], [tex]AD = 6\cdot x -16[/tex], [tex]AC = 4\cdot x + 12[/tex] and [tex]DB = 8\cdot x -10[/tex], the lengths of each line segment are respectively:
Sides
[tex]AB = 4\cdot (7) -2[/tex]
[tex]AB = 26[/tex]
[tex]BC = 2\cdot (7) +12[/tex]
[tex]BC = 26[/tex]
[tex]DC = 3\cdot (7) +5[/tex]
[tex]DC = 26[/tex]
[tex]AD = 6\cdot (7) -16[/tex]
[tex]AD = 26[/tex]
Diagonals
[tex]AC = 4\cdot (7) +12[/tex]
[tex]AC = 40[/tex]
[tex]DB = 8\cdot (7) - 10[/tex]
[tex]DB = 40[/tex]
This information indicates that this quadrilateral is a square because of these characteristics:
1) All sides have the same length.
2) The ratio of any diagonal to any side is [tex]\sqrt{2}[/tex].
Please help !
find the value of x.
Answer:
a straight line i think is always 180 so i think the answer is A. 81
Step-by-step explanation:
Answer Choices
A. -0.01
B. 2
C. 0.01
D. 10,000
Answer:I hink its B if its not im sorry
Step-by-step explanation:
Which shape have both parallel and perpendicular sides?
Answer:
a square
Step-by-step explanation:
all the sides are either perpendicular or parallel