How to use properties to find the sum or product for 8×51
Answers
Answer:
8 * 50 = 400
8 * 1 = 8
400 + 8 = 408
Related Questions
A show has 4,320,000 viewers for it's season premiere express this number using scientific notation
Answers
Answer:
4.32 × 10^6= 4.32 × 10^6
(scientific notation)
= 4.32e6
(scientific e notation)
= 4.32 × 10^6
(engineering notation)
(million; prefix mega- (M))
= 4320000
(real number)
Hence number using scientific notation is 4.32*\(10^{6}\)
What is scientific notations?When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation. 650,000,000, for example, can be expressed as 6.5 108 in scientific notation. Sal Khan and the CK-12 Foundation collaborated on this project.
How to solve?Given 4,320,000 which can be broken in 432*10000
Which can be written as 432*\(10^{4}\)
432 can be written as 4.32*100*\(10^{4}\)=4.32*\(10^{6}\)
Hence number using scientific notation is 4.32*\(10^{6}\)
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If (3m-5) is a factor of 9m^2 -9m -10, then which is the other factor
Answers
Answer:
(3m+2)
Step-by-step explanation: trust me I gotchu
Help please this is hard
Answers
Answer:
C because people cut their hair so it goes up, and all of a sudden goes down
hope it helps
Your work or words should justify your answer (explain how you know). As a math teacher, Josie frequently makes photocopies of fun activities for her students to do. When the copies come out of the copy machine, they form a stack. This table shows the relationship between the number of copies in the stack, x, and the height (in millimeters) of the stack, y. x (copies) y (millimeters) According to the values in the table, do x and y have a proportional relationship? yes no
Answers
Answer:
Yes, because by dividing x by his equivalent y, you find a constant of proportionality being 10.
x / y = 10
Step-by-step explanation:
20 / 2 = 10
50 / 5 =10
60 / 6 = 10
70 / 7 = 10
A conical container can hold 120 pie cubic centimeters of water the diameter of the base of the container is 12 centimeters the height of the containers centimeters. If the diameter and height were both doubled the containers capacity would be times its original capacity
Answers
Given that the diameter of the base is 12 centimeters, the radius (r) is half of the diameter, which is 6 centimeters. The original height of the container is h centimeters.
Using the formula for the volume of a cone, we have:
V = (1/3)π(6^2)h
V = 36πh
We are told that the container can hold 120π cubic centimeters of water. Therefore:
36πh = 120π
To find the value of h, we divide both sides of the equation by 36π:
h = 120π / (36π)
h = 10/3
So the original height of the container is 10/3 centimeters.
Now, if we double both the diameter and height of the container, the new diameter would be 2 * 12 = 24 centimeters, and the new height would be 2 * (10/3) = 20/3 centimeters.
The new volume (V') can be calculated using the same formula:
V' = (1/3)π(12^2)(20/3)
V' = 480π/9
V' = 160π/3
To find the ratio of the new volume to the original volume, we divide the new volume by the original volume:
V' / V = (160π/3) / (120π)
V' / V = (160/3) / (120)
V' / V = 4/3
Therefore, the capacity of the container after doubling the diameter and height would be 4/3 times its original capacity.
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Forming quadratic expression.Two consecutive odd numbers are such that their product is 35.find the numbers
Answers
Answer:
Numbers are 5 , 7
Step-by-step explanation:
Forming quadratic equation and solving:Let the two consecutive odd numbers be (2x + 1) and (2x + 3)
Their product = 35
(2x + 1)(2x + 3) = 35
Use FOIL method.
2x*2x + 2x*3 + 1*2x + 1*3 = 35
4x² + 6x + 2x + 3 = 35
Combine like terms
4x² + 8x + 3 = 35
4x² + 8x + 3 - 35 = 0
4x² + 8x - 32 = 0
Quadratic equation: 4x² + 8x - 32 = 0Solving:
4x² + 8x - 32 = 0
Divide the entire equation by 2
\(\sf \dfrac{4}{2}x^2 +\dfrac{8}{2}x - \dfrac{32}{2}=0\)
2x² + 4x - 16 = 0
Sum = 4
Product = -32
Factors = 8 , (-4)
When we multiply 8*(-4) = -32 and when we add 8 + (-4) = 4.
Rewrite the middle term
2x² + 8x - 4x - 16 = 0
2x(x + 4) - 4(x + 4) = 0
(x + 4) (2x - 4) = 0
2x - 4 = 0 {Ignore x +4 = 0 as it gives negative number}
2x = 4
x = 4/2
x= 2
2x + 1 = 2*2 + 1 = 5
2x + 3 = 2*2 +3 = 7
The numbers are 5 , 7
4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)
f(x) = (x - 5)(x – 4)
f(x) = (x - 5)(x + 4)
f(x) = (x + 5)(x - 4)
f(x) = (x + 5)(x +4)
Answers
Answer: B) (x - 5)(x + 4)
Step-by-step explanation:
we’re looking for x intercepts at x = 5 and x = -4
x - 5 = 0; x = 5
x + 4 = 0; x = -4
(x - 5)(x + 4) is your answer
In this article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970s.
To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were:
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0(p1
In the hypothesis test about cannabis use by conservatives and liberals, the test statistic was z = -4.27, with a corresponding p-value of about 0.00001.
Which conclusion is most appropriate in the context of this situation?
Answers
Options :
Which conclusion is most appropriate in the context of this situation?
The data do not support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
The data support the claim that the proportion of conservatives who smoke cannabis is no different that the proportion for liberals.
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Answer:
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Step-by-step explanation:
Given the hypothesis :
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0
The test statistic = - 4.27
Pvalue = 0.00001
For making statistical decisions ;
Pvalue and α are very useful,
Decison boundary :
When Pvalue ≤ α ; We reject the Null (H0) otherwise, we fail to reject the Null.
However, based on the outcome of the statistical analysis,
The Pvalue < α ; Hence, we reject the Null and conclude that there is significant evidence support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
A quadrilateral with one pair of parallel side is a
A) Parallelogram
B) Square
C) Rectangle
D) Trapezium
Answers
A quadrilateral with one pair of parallel side is a D) Trapezium
Given :
A quadrilateral with one pair of parallel side is.
we know that ,
Trapezium :
A trapezium is a convex quadrilateral with exactly one pair of opposite sides parallel to each other.
The trapezium is a two - dimensional shape that appears as a table when drawn on a sheet of paper.
In Euclidean Geometry, a quadrilateral is defined as a polygon with four sides and four vertices.
so a trapezium also has four sides, four angles and four vertices.
Area of trapezium = 1/2 * ( a+ b ) h
where a and b are bases
and h is height of altitude.
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2. The box and whisker plot below shows the starting salaries for 120 graduates of a small college.
a) What is the range of the starting salaries?
b) About 30 graduates make below what amount?
c) How many graduates have a salary above $33,000 ?
d) $25 of the graduates make above what amount?
Answers
The range of the starting salaries is 53,000
Given,
The box and whisker plot below shows the starting salaries
The number of graduates in a small college = 120
We have to find the range of the starting salaries;
Range of a data;
The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.
Here,
Lowest value = 19,000
Highest value = 72,000
Then,
Range of the set = 72,000 - 19,000 = 53,000
That is,
The range of the given data set is 53,000
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Select the correct answer from each drop-down menu. The inequality 5m − 7 > 16 holds true for all numbers _ than _ in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Answers
The values of {m} that is greater than 4.6 represent the solution of the given inequality.
An inequality is used to compare two or more expressions or numbers.
For example -
2x > 4y + 3
x + y > 3
x - y < 6
The given inequality is -
5m - 7 > 16
Adding 7 on both sides, we get -
5m - 7 + 7 > 16 + 7
5m > 23
m > 23/5
m > 4.6
Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.
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Hope one of y’all help me with this question.. because i was struggling!!
Please and thank you.
Answers
a) The value in four years is 2,207,626
b) The growth rate percent is 102.5 %
c) It would attain the value in 11 years.
What is a function?We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n
Let us recall that n has to do with the number of years.
a) In four years, the value of the car would be;
V = 2000000(1.025)^4
V = 2,207,626
b) The growth rate percent of the function can be obtained as;
1.025 * 100 = 102.5 %
c) To obtain the year in which the value of the car would reach 2624173.32, we have;
2624173.32 = 2000000(1.025)^n
2624173.32/2000000 = (1.025)^n
1.312 = (1.025)^n
ln1.312 = n ln (1.025)
n = ln1.312 /ln (1.025)
n = 0.272/0.025
n = 11
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In the diagram below of triangle JKL, M is the midpoint of JL and N is the midpoint of KL. If mLJK=60-3x, and mLMN=20+5x, what is the measure of LMN?
Answers
Considering the given figure the measure of < LMN is solved to be 45
How to find the value of angle LMNInformation from the problem include
a diagram described as follows
triangle JKL, M is the midpoint of JL and N is the midpoint of KL.
If < LJK = 60 - 3x, and < LMN = 20 + 5x
The two sides are corresponding angels and therefore congruent
hence
60 - 3x = 20 + 5x
collecting like terms
60 - 20 = 5x + 3x
8x = 40
x = 40 / 8
x = 5
solving for < LMN
= 20 + 5x
= 20 + 5 * 5
= 20 + 25
= 45
angle LMN is 45
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For each level of confidence c below, determine the corresponding normal confidence interval. Assume each confidence interval is constructed for the same sample statistics. c=.85
Answers
Level of c = 0.85 is the lowest Confidence interval is 53.6 - 56.6.
Given,
c = 0.85
To find the corresponding normal confidence interval.
What are the corresponding normal confidence intervals?
The rule here is that the higher the level of confidence, the higher the corresponding normal interval.
The lowest level of confidence will therefore correspond to the lowest normal interval.
For this reason, the level of confidence of 0.85 will correspond to the lowest confidence interval of 53.6 - 56.6
This continues till the highest level of confidence = 0.99 corresponding to the highest confidence interval = 55.7 - 61.5.
Hence, Lowest Confidence interval is 53.6 - 56.6.
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what number is 58% of 225?
Answers
Answer:
130.5
Step-by-step explanation:
I used a calculator to find out 58% of 225!
and I got 130.5!
Mr. Heritage starts a new business, and to get it started he borrows $2 500 from a bank. If the loan is for two years, and the amount of interest for those two years is $175, what SIMPLE interest rate was he charged? (SIMPLE INTEREST: the principle and interest calculations dont change- they stay the same for the entire two year period!) BONUS- if he pays off the whole loan in the two years, what would his monthly bill be, (DON'T FORGET TO INCLUDE THE INTEREST CHARGE FOR HIS MONTHLY BILLS!!! YOU CAN ROUND YOUR CALCULATION TO THE NEAREST HUNDRETH- THAT IS, TO TWO DECIMAL PLACES...)
Answers
The rate of interest is given by the equation R = 3.5 %
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the rate of interest be represented as R
Now , the simple interest I = $ 175
The principal amount invested P = $ 2,500
The time period T = 2 years
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )
Substituting the values in the equation , we get
Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )
Rate of Interest R = 17500 / 5000
Rate of Interest R = 3.5 %
Hence , the interest rate is 3.5 %
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what is the value of 3⁴
Answers
Answer:
81 ............................
Answer:
81
Step-by-step explanation:
just multiply 3 to itself 4 times.
when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal
Answers
When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.
A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.
However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.
While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.
Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.
So, correct option is B.
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Aaron bought flowers for his mother. The flowers were half off the original price. He paid $1.12 in sales tax. If he paid a total of $15.57, what was the original price of the flowers?
Answers
Answer:
$7.225
Step-by-step explanation:
Answer:
D) 28.90
Step-by-step explanation:
28.90 divided by 2 = 14.45 + 1.12 (sales tax) = 15.15 (which was the price he had paid)
Please help me, I need it right now
Answers
Answer:
Step-by-step explanation:
instead x in f(x) we put g(x) in it.
f(g(x))= 3(7x-3)+1
=21x - 9 +1= 21x -8
yall please help me algebra
simplify : 2x+4y+6+2y-5+3x
Answers
Answer:
5x+6y+1
Step-by-step explanation:
Answer:
=5x+6y+1 is your answer
Step-by-step explanation:
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When testing whether the correlation coefficient differs from zero, the value of the test statistic is t20 = 1.95 with a corresponding p-value of 0.0653. At the 5% significance level (p = 0.05), can you conclude that the correlation coefficient differs from zero?
a) No, since the p-value exceeds 0.05. b) Yes, since the test statistic value of 1.95 exceeds 0.05. c) No, since the test statistic value of 1.95 exceeds 0.05. d) Yes, since the p-value exceeds 0.05.
Answers
No, we can't conclude that the correlation coefficient differs from zero because the p-value, which is 0.0653 exceeds 0.05. The correct option is a.
Given that:
p-value = 0.0653
Level of significance (p) = 0.05
The null hypothesis is a typical statical theory that suggests that no statical relationship and significance exists in a set of given single observed variables, between two sets of observed data and measured phenomena.
The null hypothesis is significant because it offers a rough description of the phenomena inferred from the available evidence. It enables researchers to empirically test the relationship statement in a study.
Example: The null hypothesis is that the population density is the same across all states.
The hypothesis is
H0: p=0 vs HA: p \(\neq\) 0
We observe that,
p-value > p (level of significance)
So, fail to reject the null hypothesis (H0).
The correlation coefficient differs from zero when the p-value is less than 0.05.
Therefore, we can not conclude that the correlation coefficient differs from zero.
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O Points: 0 of 1
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 17.
The probability of rolling a number greater than 17 is
(Type an integer or a simplified fraction)
Answers
Answer:
i dont know
Step-by-step explanation:
i do middle school not
highschool or college
Which expressions are equivalent to 6a(5+d) ?
Select each correct answer.
30a+6ad
30ad
30a+(6a⋅d)
(6a⋅5)+(6a⋅d)
11a + d
Answers
Answer: A is correct i think
Step-by-step explanation: 6a x 5 = 30a
6a x d = 6ad
Answer:
A
Step-by-step explanation:
QUESTION 7 7.1 The fifth term of an arithmetic sequence is zero and the thirteenth term is equal to 16. Determine: the common difference
Answers
Answer:
2
Step-by-step explanation:
The first term is our fifrth and 13th is our 9th term in the new sequence. So each step has to be 2. 2 * 8 = 16
A new pair of shoes costs $59.50. If you clean your room each week, your parents will give you $3.50 (each week). How many weeks will it take for you to save enough money to buy the shoes?
I need this answer fast please!
Answers
Answer:
Mekrkrkjr
Step-by-step explanation:
Clkddkrk
Answer:i need new pairs of shoes!!
Step-by-step explanation:
my teacher is asking what is 4 cubed and the options are \(3^{3}\) , \(3^{3}\) > 12 , \(4^{3}\) , and 3-4 please help !
Answers
6th grade math! Help me please :)
Answers
Answer:
50 pictures.
Step-by-step explanation:
It's lit just 35+15=50 pictures
Answer:50
Step-by-step explanation:
Meg took 35 pictures
Kim took 15 pictures
Total pictures =35+15
Total pictures =50
Change from base 10 to base 4. It will be helpful to create a place value chart for base 4 before doing this problem. Show your thinking.
9^10
15^10
29^10
72^10
Challenge: 259^10
Answers
9¹⁰ can be expressed as base 4 with 22 and 15¹⁰ can be expressed as 33.
What is Expression?An expression is combination of variables, numbers and operators.
To change from base 10 to base 4, we need to express each number in terms of powers of 4. Here's how you can do this for each number:
9¹⁰ in base 4:
9 in base 10 can be expressed as 22
Base 4
So, (22)¹⁰ = 4¹⁰ x 2¹⁰ = 1048576 x 1024
= 1073741824 in base 10.
15¹⁰ in base 4
15 in base 10 can be expressed as 33 in base 4
Hence, 9¹⁰ can be expressed as base 4 with 22 and 15¹⁰ can be expressed as 33.
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Please help me right now!
Thank you so much
Answers
The length of the arc KL in the given circle is 3.49 units
How to find the length of the arc KL?In a circle whose radius is R, the length of an arc defined by an angle x is given by:
Length = (x/360)*2*3.14*R
Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:
Length = (100/360)*2*3.14*2
Lenght = 3.49 units.
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