HELP ASAP PLEASEE!!
Simplify this expression.
5^6 x 5^-2 over 5^-7
a
5^1
b
5^11
c
5^-3
d
5^-19
Answers
Answer:
5^6 × 5^(-2) × 5^(-7)
= 5^{6+(-2)+(-7)}
= 5^{6-2-7}
= 5^(-3)
Option c 5^-3
Related Questions
What is the length of the hypotenuse
Answers
Answer:
C=17
Step-by-step explanation:
15^2+8^2=c^2
C^2=289
C=17
A hospital recorded the weights, in ounces, of newborn babies for two weeks. The
results are listed below.
Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126
Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130
Which statement is true?
Answers
Answer:
The standard deviation for week two was about 3 ounces more than the standard deviation for week one
Step-by-step explanation:
Given
[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]
[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]
See attachment for options
Required
The true statement
Checking the standard deviation
For week 1
Calculate the mean:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]
[tex]\bar x = \frac{1014}{10}[/tex]
[tex]\bar x_1 = 101.4[/tex]
Then standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]
[tex]\sigma_1 = \sqrt{252.24[/tex]
[tex]\sigma_1 = 15.88[/tex]
For week 2, we have:
[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]
[tex]\bar x = \frac{1037}{10}[/tex]
[tex]\bar x_2 = 103.7[/tex]
Then standard deviation
[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]
[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]
[tex]\sigma_2 = \sqrt{353.81[/tex]
[tex]\sigma_2 = 18.81[/tex]
Compare the standard deviations
[tex]\sigma_1 = 15.88[/tex]
[tex]\sigma_2 = 18.81[/tex]
Calculate the difference:
[tex]d = \sigma_2 - \sigma_1[/tex]
[tex]d = 18.81 - 15.88[/tex]
[tex]d = 2.93[/tex]
[tex]d \approx 3[/tex]
This implies that option (b) is true
solve for x. Leave your answer in the simplest radical form.
Answers
Answer:
x = 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2
use Pythagorean Theorem to find 'x':
2² + 4² = x²
4 + 16 = x²
x² = 20
x = [tex]\sqrt{20}[/tex]
x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]
x = 2[tex]\sqrt{5}[/tex]
In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.
Answers
Answer:
The original price was $7.21
Step-by-step explanation:
8.46-1.25= 7.21
Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)
Answers
The correct range is (80, 112).
The correct option is (D).
What is mean?Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.
As per the given data:
We are given the mean of the sample.
The mean of the sample = 96
In each option, a range is given.
We have to find out which is the correct range for the given mean.
For a range (a, b) the mean is given by:
mean = (a + b)/2
By using the above definition and checking all the options:
For (76, 108)
mean = (76 + 108)/2 = 92, Not the correct range
For (82, 114)
mean = (82 + 114)/2 = 98, Not the correct range
For (78, 110)
mean = (78 + 110)/2 = 94, Not the correct range
For (80, 112)
mean = (80 + 112)/2 = 96, The correct range
The correct range is (80, 112).
Hence, the correct range is (80, 112).
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find the area of the trapezoid?
Answers
Answer:
46,746 mm²
Step-by-step explanation:
½×(210+84)×318
= 46,746 mm²
PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!
Topic: Math
Solve all the questions
Answers
Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month
Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.
Answers
Answer:
coupon A
Step-by-step explanation:
coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15
your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?
Answers
= $786.84
then divide by $190
= 4.14
= 5
therefore they need to fundraise for 5 weeks
There is 5 weeks do they need to fundraise.
What is the inequality?Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.
Your school is having a fundraiser in order to pay for t-shirts.
They need to raise $882.69.
They have already collected $92.85 in donations.
Their goal is to have $190 donated each week.
Let, x be the number of weeks do they need to fundraise.
The number of weeks do they need to fundraise is given by;
[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]
Hence, there is 5 weeks do they need to fundraise.
Learn more about inequality here;
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3
What is the difference of
21
?
4
Answers
Answer:
The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.
Step-by-step explanation:
PLEEEEASEEE HELP ASAP
In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel
a p e x
Answers
Answer:
a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
I just got done with this same quiz and i got a 100 .
Solve for x in the diagram below.
Answers
Step-by-step explanation:
x+(3x+10)=90
4x+10=90
4x=80
x=20 Ans
QUESTION 2 PLEASE HELP ME!!!
Answers
Answer:
Look it up up
Step-by-step explanation:
A. 65
B. 30
C. 10
D. 50
Answers
Answer:
50
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:
m∠CGF + m∠AFG = 180°
And, we can substitute:
3x - 20 + x = 180
4x - 20 = 180
4x = 200
x = 50
Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?
Answers
Answer:
5
Jeffrey will use 9 __ cups of oatmeal
8
Step-by-step explanation:
2.75 cups of oatmeal per 1 dozen
2.75 x 2 = 5.5
2.75 + 2.75(1/2) = 4.125
add
5.5 + 4.125 =
9.625 cups of oatmeal
or
9 5/8 cup
21 3/5 is what percent of 40?
Answers
Answer:
21.6 is 54% of 40.
Step-by-step explanation:
HOPE THIS HELPS!!!
Have a great day!
- Hailey: )
Use the relationships between the angles to find the value of . 75° 40 X 15 degrees
Answers
Answer:
x = 65
Step-by-step explanation:
All angles in the triangle equal 180
Set up your formula as
180 = x+75+40
180-75-40=x
65=x
please find the missing side of this triangle
Answers
First you need to find the other angle of the triangle so you do 90+25 which gives you 115 and subtract that by 180 because all angles of a triangle add up to 180. That gives you 65 then you will use TAN(65) and get 2.144506920509559 which you will then multiple by 7 to get 15.01154844356691 which you then round to get 15.01!
A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.
Answers
Answer:
The ladder would reach 15.2 feet up
Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108.
Answers
The question is incomplete. Kindly see the correct question below
Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this
Answer:
9D +6C < 108
Step-by-step explanation:
Let the price of Dvd be D
Let the price of CDs be C
Hence the inequality can be represented as follows
9D + 6C < 108
Michael is writing an article for the school newspaper. He wants to know which subject (math, reading, science, history, or physical education)
is most liked. He is trying to decide who to survey.
Which population sample does NOT produce a biased result?
A. He asks the school’s teachers
B. He asks his friends after school
C. He asks the students in his math class
D. He asks students he meets in the hallways
E. He asks every fifth student arriving at school
Answers
Answer: E is the answer
Step-by-step explanation:
The population sample that does not produce a biased result is when he asks every fifth student arriving at school. The correct option is E.
What is a survey?Surveys can be used to determine how representative each person's opinions and experiences are.
When conducted properly, surveys offer precise data about people's beliefs and actions that can be utilized to inform significant decisions.
A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities.
This guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.
Survey bias is when a question is worded or presented in a way that encourages individuals to select one response over another.
The same holds true if your queries are challenging for customers to comprehend and honestly answer.
As, when he asks every fifth student arriving at school, it can lead to an unbiased result.
Thus, the correct option is E.
For more details regarding survey, visit:
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What is the probability of rolling a 6 and then a 7 on a number cube?
NO LINKS PLEASE!
Answers
Answer:
the probability of rolling 6 is 16 or 16.7%.
the probability of rolling 7 is 0.
Step-by-step explanation:
7 is 0 because its impossible to roll a 7 on one number cube.
please please please help!
AD = ___ units
Answers
4.Complete each of the following BRAINIEST and 50 points its just Trigeometry
Answers
Answer:
#1:
cos a = opp/hyp = cb/ca
tan a = opp/ajd = cb/ab
sin c = adj/hyp = ab/ca
cos c = opp/hyp = ab/ca
tan c = opp/adj = ab/cb
2: *i dont have the square root symbol*
sin 60 = 3/2
cos 60 = x/2
tan 60 = 3/x
sin 30 = x/2
cos 30 = 3/2
tan 30 = x/3
3: *i dont have the square root symbol*
sin 45 = 2/x
cos 45 = x/2
tan 45 or 48 = x/y
A trapezoid has a height of 12 feet,
and base measurements of 15 feet and
10 feet. What is the area?
[?] square feet
Hint: The formula for the area of a traxzod is to
Answers
▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Given :→ Base = 15 and 10
→ Height = 12
To Find :→ Area of trapezoid
Solution :→ Area of Trapezoid = (a + b)/2 × h
= (15 + 10)/2 × 12
= 150 ft²
∴ The area of Trapezoid is 150 ft²
▬▬▬▬▬▬▬▬▬▬▬▬▬▬
a, b, and c are all vectors that have the same direction.
a + b = c
The magnitude of a = 6 and the magnitude of b = 8.
Find the magnitude of c.
Answers
Answer:
14 = c
Step-by-step explanation:
it is just like u said;
a + b = c
6 + 8 = c = 14
(it could also be 8-6 = c = 2)
Can someone help me out my grads are bad
Answers
Answer:
50 m^2
Step-by-step explanation:
3cm = 5 m
6 cm = 10 m
5 x 10 = 50 m^2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
50 [tex]m^{2}[/tex]
Step-by-step explanation:
3cm = 5m
6cm = 10m
5x10 = 50
The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:
O Most males preferred black laptops.
O Most females preferred black laptops.
O Red was the least preferred color for a laptop, amongst male high school students surveyed.
OBlack was the most preferred color for a laptop, amongst all high school students surveyed.
Answers
Answer:
Most males preferred black laptops
Step-by-step explanation:
1. last question. please help me out thank you. ill mark you brainlist
Answers
Answer:
-7
Step-by-step explanation:
Answer:
x = -7
Step-by-step explanation:
3x + 6 = x - 8
-x -x
(subtract x from both sides)
2x + 6= −8
-6 -6
(subtract 6 from both sides)
2x = -14
/2 /2
(divide 2 by both sides)
x = -7
hope this helped!
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answers
Answer:
B
Step-by-step explanation:
Amanda does start with 30 homework questions
She does complete 3 questions every 2 minutes
After 10 minutes she has completed half of her questions
But she does not finish 2 questions every 3 minutes
hope this helps <3