Write the following expression using a single exponent.
3-5 × 36
A.
3-30
B.
31
C.
30
D.
3-11
Answers
Answer:
D
Step-by-step explanation:
i took the test and got it right
Related Questions
i need help and i need it fasttttttt
(uncompleted and unhelpful answers WILL be reported)
(BRAINLIEST to whoever's answer is the best)
The area of the rectangle below is 90 cm². Form a quadratic equation involving n and solve it to find the value of n.
Answers
Answer:
2n² + 5n - 102 = 0
n = 6
Step-by-step explanation:
The formula for the area of a rectangle is:
\(\boxed{A=w \cdot l}\)
where w is the width and l is the length.
From inspection of the given rectangle:
w = (n + 4)l = (2n - 3)Given that the area of the rectangle is 90 cm², then A = 90.
Substitute the values of A, w and l into the formula:
\(\implies 90=(n+4)(2n-3)\)
Switch sides:
\(\implies (n+4)(2n-3)=90\)
Expand the left side of the equation using the FOIL method:
\(\implies 2n^2-3n+8n-12=90\)
\(\implies 2n^2+5n-12=90\)
Subtract 90 from both sides:
\(\implies 2n^2+5n-12-90=90-90\)
\(\implies 2n^2+5n-102=0\)
To solve a quadratic in the form ax² + bx + c, find two numbers that multiply to ac and sum to b.
\(\implies ac=2 \cdot (-102)=-204\)
\(\implies b=5\)
Two numbers that multiply to -204 and sum to 5 are:
17 and -12Rewrite b as the sum of these two numbers:
\(\implies 2n^2+17n-12n-102=0\)
Factor the first two terms and the last two terms separately:
\(\implies n(2n+17)-6(2n+17)=0\)
Factor out the common term (2n + 17):
\(\implies (n-6)(2n+17)=0\)
Apply the zero-product property:
\((n-6)=0 \implies n=6\)
\((2n+17)=0 \implies n=-8.5\)
n = -8.5 is an extraneous solution since this solution gives negative side lengths, which is impossible.
Therefore, the only valid value of n is n = 6.
\(\hrulefill\)
Check by substituting the found value of n:
\(\textsf{Width}=6+4=10\; \sf cm\)
\(\textsf{Length}=2(6)-3=9\; \sf cm\)
\(\textsf{Area}=10 \cdot 9=90\; \sf cm^2\)
help me pls, thanks ^^
Answers
Answer:
As the time increases, the distance from the floor decreases by 40 cm per second. You find 40 by taking (6,1140) and (9,1020). The slope formula is y2 - y1 over x2- x1. Plug in the variables and you get (1020-1140)/(9-6)= -120/3= -40.
Step-by-step explanation:
The question is in the picture below
Don't mind the blue thing it's wrong
Answers
Answer:
The answer is A
Step-by-step explanation:
This is because for every kilogram there are 1000 grams, making A the correct answer.
Answer:i think the answer is A
Step-by-step explanation:
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
20n − 4n + 3n − 11n = 16
Answers
20n-12n=16
8n=16
n= 16/8
n=2
explanation
20n- 4n+ 3n - 11n=16
20n-12n =16
8n= 16
n=16/8
n=2
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: probably c
Step-by-step explanation:
i divided it and got 401.063963
Answer:
C.
Step-by-step explanation:
trust -.-
PLEASE HELP ME PLEASE IM POSTING THIS FOR A 3rd TIME
Answers
Answer:
We have not write the question properly . so I write the point .
What is the smallest number of marbles that can be placed equally into groups of 5, 10 and 12?
Answers
Answer:
60
Step-by-step explanation:
the least common multiple of 5, 10, and 12 is 60 therefore you can place a group of 60 marbles equally in each group.
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Abdul's budget in listed in the table below
Answers
Answer:
15% of the budget goes to food.
Step-by-step explanation:
660 = x
4,400 100
cross multiplication in order to find the percentage
x = percentage
660 x 100 = 66,000
66,000 ÷ 4,400 = 15
x = 15
therefore, 15% of the budget goes to food.
sorry if Im wrong
Answer:
15%
Step-by-step explanation:
:)
PLEASE HELPPPPP MEEEEE
Answers
ALLAH IS ALL KNOWING AND ALL HEARING
Step-by-step explanation:
"There is no God but Allah, and Muhammad is his messenger." This is the basic statement of the Islamic faith: anyone who cannot recite this wholeheartedly is not a Muslim. When a Muslim recites this they proclaim: That Allah is the only God, and that Muhammad is his prophet
Select the correct answer Which statement about the inequality 2 1/5 < 2 3/5 is true?
Answers
Answer: We are given inequality 2(1)/(5) < 2(3)/(5). This can be read as : 2(1)/(5) is less than 2(3)/(5). Therefore, 2(3)/(5)
Step-by-step explanation:
This is Expert Verified Answer We are given inequality 2(1)/(5) < 2(3)/(5). This can be read as : 2(1)/(5) is less than 2(3)/(5).
A rectangle measures 2 1/4 meters by 1 7/8 meters. What is its area??
Answers
Hello!
2^1/4 * 1^7/8
= 0.5 * 0.125
= 0.0625
Step by step equation:
Separate the whole numbers and fractions.
Whole numbers: 2, 1
Fractions: 7/8, 1/4
Now simplify the fractions.
To make the fractions have even denominators we must multiply 1/4 by 2 on the top and bottom, changing 1/4 into 2/8.
Now that the fractions are simplified we multiply them together. 7/8 • 2/8 = 14/8. We now turn this into a mixed number, 1 and 6/8’s.
Now let’s multiply the whole numbers,
2•1 = 2. Now that we have all the numbers laid out let’s combine them.
2 + 1 + 6/8 = 3 6/8’s. Since this is out area you want to make sure to label the product correctly and the label here is meters so the answer would come out to be:
3 6/8’s meters sq.
Hope this helps!
15 POINTS
Ann had twice as many candies as Susan. Then Ann ate 3 of her candies.
This can be modeled using the following equation:
A = 2s - 3
Solve the equation for the number of candies Susan has, S
S = A + [?]/[?]
Answers
Answer: S = \(\frac{A}{2}\) + \(\frac{3}{2}\)
Step-by-step explanation: Isolate S by timesing it by 2, which means you have to times A and 3 by two and take S to the other side of the equation which makes the minus into a plus.
Answer:
\(S=\frac{A+3}{2}\)
Step-by-step explanation:
The original equation is:
A=2S-3
But, we are now solving for S, so we have to isolate S.
To do this, we first must add 3 to both sides:
A+3=2S
Next, divide both sides by 2:
\(\frac{A+3}{2}=S\)
Hope this helps! :)
The net of a prism is made up of 2 rectangles. Rectangle 1 has a base of 9 feet and height of 3 feet. Rectangle 2 has a base of 7 feet and height of 5 feet.
What is the surface area of the prism?
29 ft2
30 ft2
58 ft2
62 ft
Answers
Answer:
62 ft2
Step-by-step explanation:
you multiply 9 and 3
then you multiply 7 and 5
after you do that you and those two answers together
Find the volume of a prism. Show your work.
Answers
Answer:
Step-by-step explanation:
11 times 22
the area of its cross-section multiplied by the length
answer: 242cm squared
help please and thank you
question is in picture.
Answers
for the first one on the upper left,
54/2 = 27
since the number 2 can't be divided by any other numbers except the number itself,
thus , 2 is the prime factor
next,
since 27 can't be divided with 2, then we can try dividing it with 3 to find intiger
thus, 27/3=9
since 3 can't be divided with any number except the number itself, thus 3 is the prime number
this pattern follows for every question
12,13.
6,6
3,3
Simplify the fraction below.
35/4
Answers
Answer:
8 3/4
Step-by-step explanation:
find the greatest common factor of 35 and 4, which is 1. Then divide both 35 and 4 by the greatest common factor to get the following simplified fraction: 35/4
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. You could convert it into a whole number or mixed number fraction. Which would now be 8 3/4
(If its not right let me know so I can rethink my answer)
8 3/4 as a fraction
I NEED HELP please!!!!!!
Answers
Answer:
The last one.
Step-by-step explanation:
Do you see the middle line? That is the median. They are the same.
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
Which of the following uses the commutative property of multiplication to create an expression equivalent to 9 • (x + 4)2?
A
(x + 4)2 • 9
B
9 • (x + 4) ÷ (x + 4)
C
9 • (x2 + 42)
D
9 • (4x)2
Answers
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
¯\_(ツ)_/¯ its B
I need help on this question
Answers
Answer:
its A and 4 good luck!!!!!!
Answer:
A. 13 + t = 17 Value of t: t = 4
Step-by-step explanation:
My steps:
1) rewrite: 13 + t = 17
2) subtract 13 on each side on equal sign:
13 -13 + t = 17 - 13
3) Solve: t = 4
I hope this helped, good luck!
The volume code of a cube is given by s to the third power, where s is this side length of the cube. What is the difference of the volumes of two cubes with sides lengths of 5 meters and 4 meters
Answers
Answer:
61 m^3
Step-by-step explanation:
The difference in volume is (5 m)^3 - (4 m)^3, or (125 - 64) m^3, or
61 m^3
Answer:
61
Step-by-step explanation:
5³-4³=61
The length of a building is 60 feet. The length of the building on a scale drawing is 4 inches. Which ratio describes the scale of the drawing?
-- giving brainliest to whoever has the answer (with descriptions and such)
-- if no one else answers (but only one person), i'll be able to give five stars and a thanks
Answers
the ratio of the scale drawing is
1 inch on the drawing represents 180 feet in real life.
To determine the ratio of the scale drawing, we need to first find the length of the building on the scale drawing. We know that the actual length of the building is 60 feet, and the length of the building on the scale drawing is 4 inches. We can set up a proportion to find the length of the building on the scale drawing:
Actual length / Length on scale drawing = Scale factor
We can plug in the values we know:
60 feet / Length on scale drawing in inches = Scale factor
To solve for the length on the scale drawing in inches, we can cross-multiply:
60 feet * 1 inch / Scale factor = Length on scale drawing in inches
Simplifying:
Length on scale drawing in inches = 60 feet * 12 inches / Scale factor
We know that the length on the scale drawing is 4 inches, so we can plug that into the equation:
4 inches = 60 feet * 12 inches / Scale factor
Solving for the scale factor:
Scale factor = 60 feet * 12 inches / 4 inches
Scale factor = 180
if the measures of
m
Answers
Answer:
? Did you finish asking it...............?
Step-by-step explanation:
a 4 year loan with 6% simple interest? Find the total amount paid, interest paid, and the monthly payment.
Answers
To find the total amount paid, interest paid, and monthly payment for a 4-year loan with 6% simple interest, we need to know the principal amount of the loan. Let's assume the principal amount is $10,000.
Total amount paid = Principal + Interest
Interest = Principal x Rate x Time
Time = 4 years
Interest = $10,000 x 0.06 x 4 = $2,400
Total amount paid = $10,000 + $2,400 = $12,400
To find the monthly payment, we can divide the total amount paid by the number of months in 4 years (48 months).
Monthly payment = $12,400 / 48 = $258.33 (rounded to the nearest cent)
Therefore, the total amount paid is $12,400, the interest paid is $2,400, and the monthly payment is $258.33.
The base of this pyramid is a rectangle. How many congruent faces does this pyramid have?
The pyramid has 4 congruent faces.
The pyramid has 5 congruent faces.
The pyramid has 1 pair of congruent faces.
The pyramid has 2 pairs of congruent faces.
Answers
Answer: The Pyramid has 2 pairs of congruent faces
Step-by-step explanation:
The explanation of congruent is the face has the same shape and same size. On rectangle pyramid, the height triangle are 2 same faces and 2 same faces, so it has 2 pairs of congruent faces
Find all possible values of a such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1.
Answers
Answer:
\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0\)
Step-by-step explanation:
Given quadratic equation:
\(ax^2 + (2a + 2)x + a + 3 = 0\)
To find the possible values of "a" such that the given equation has two roots and the distance between them on the number line is greater than 1, use the quadratic formula.
\(\boxed{\begin{minipage}{4 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}\)
Comparing the coefficients:
\(a = a\)\(b = (2a + 2)\)\(c = (a + 3)\)Substitute the coefficients into the quadratic formula:
\(x=\dfrac{-(2a+2) \pm \sqrt{(2a+2)^2-4a(a + 3)}}{2a}\)
Simplify the discriminant (the part under the square root sign):
\(x=\dfrac{-(2a+2) \pm \sqrt{-4a+4}}{2a}\)
Factor out 4 from the discriminant:
\(x=\dfrac{-(2a+2) \pm \sqrt{4(-a+1)}}{2a}\)
\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(x=\dfrac{-(2a+2) \pm \sqrt{4}\sqrt{-a+1}}{2a}\)
Therefore:
\(x=\dfrac{-(2a+2) \pm 2\sqrt{-a+1}}{2a}\)
Factor out the common term 2:
\(x=\dfrac{-(a+1)\pm \sqrt{-a+1}}{a}\)
Therefore, the two solutions are:
\(x=\dfrac{-a-1+\sqrt{-a+1}}{a},\;\;x=-\dfrac{a+1+\sqrt{-a+1}}{a}\)
As both solutions have "a" as their denominator, a ≠ 0.
Note: When substituting a = 0 into the original equation, we are left with a linear equation, which only has one root. Therefore, this confirms that a ≠ 0.
Now we have found expressions for the two roots, we can set the distance between them to greater than 1:
\(\dfrac{-a-1+\sqrt{-a+1}}{a}-\left(-\dfrac{a+1+\sqrt{-a+1}}{a}\right) > \:1\)
\(\dfrac{-a-1+\sqrt{-a+1}}{a}+\dfrac{a+1+\sqrt{-a+1}}{a} > \:1\)
Simplify:
\(\begin{aligned}\dfrac{-a-1+\sqrt{-a+1}+a+1+\sqrt{-a+1}}{a}& > 1\\\\\dfrac{2\sqrt{-a+1}}{a}& > 1\\\\2\sqrt{-a+1}& > a\\\\(2\sqrt{-a+1})^2& > a^2\\\\4(-a+1)& > a^2\\\\-4a+4& > a^2\\\\a^2+4a-4& < 0\\\\(a+2)^2-8& < 0\\\\(a+2)^2& < 8\end{aligned}\)
\(\textsf{For\;\;$u^n < a$,\;\;if\;$n$\;is\;even\;then\;\;$-\sqrt[n]{a} < u < \sqrt[n]{a}|$:}\)
\(-\sqrt{8} < a+2 < \sqrt{8}\)
Therefore:
\(-\sqrt{8} -2 < a < \sqrt{8}-2\)
\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2\)
So the possible values of "a" such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1 are:
\(\large{\boxed{-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0}\)
This year, Brad is a photographer for his school newspaper. He takes 5 color photos for every 2 black-and-white photos.
Complete the table.
Color photos 5 15
30
Black-and-white photos 2
8
Answers
Color 5 - 2 Black-and-White
Color 10 - 4 Black-and-White
Color 15 - 6 Black-and-White
Color 20 - 8 Black-and-White
Color 25 - 10 Black-and-White
Color 30 - 12 Black-and-White
Answer:
Colored photo I Black photo
5 2
10 4
15 6
20 8
25 10
30 12
35 14
40 16
45 18
50 20
PLS HELP EXAM
Directions: Evaluate and solve for the variable and graph the resulting solution set, showing ALL work.
a) x/4 > 10
b) -5g < 15
c) t - 4 ≤ -3
d) 4d > -12
e) u + 12 ≤ 5
f) j - 4 ≥ - 4
Answers
Answer:
Step-by-step explanation:
a) > 40
x/4 x 10 = > 40
b) > -3
-5g < 15
g > -15/5
g > -3
c) t \(\leq\) 1
t-4 \(\leq\) -3
t \(\leq\) -3 + 4
t \(\leq\) 1
d) d > -3
4d > -12
d > -3
e) u \(\leq\) -7
u + 12 \(\leq\) 5
u \(\leq\) 5 - 12
u \(\leq\) -7
f) j \(\geq\) 0
j - 4 \(\geq\) -4
j \(\geq\) -4 + 4
j \(\geq\) 0
( parentheses for when not equal to )
[ brackets for when this and or equal to]
When writing answer into interval notation.
