Answer:
x = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex]8^{x}[/tex] = 2
[tex]2^3)^{x}[/tex] = 2 , that is
[tex]2^{3x}[/tex] = [tex]2^{1}[/tex]
since the bases on both sides are equal, both 2, then equate the exponents
3x = 1 ( divide both sides by 3 )
x = [tex]\frac{1}{3}[/tex]
it is estimated that the world's population is growing at a rate of 1.14% per year. On January 1st 2014 the population was 7.23 billion a) Find the expected population on January 1st 2020
The most appropriate choice for growth and depreciation will be given by:
Population on 1st January 2020 is 7.74 billion
What is growth and depriciation?
The increase in the value of a product over a period of time is called growth.
If V is the value after n years and [tex]V_0[/tex] is the present value r is r% per annum.
[tex]V=V_0(1 + \frac{r}{100})^n[/tex]
The decrease in the value of a product over a period of time is called depriciation.
If V is the value after n years and [tex]V_0[/tex] is the present value r is r% per annum.
[tex]V=V_0(1 - \frac{r}{100})^n[/tex]
Population on 1st January 2014 = 7.23 billion
Rate of growth of population = 1.14%
Population on 1st January 2020
[tex]7.23(1 + \frac{1.14}{100})^6\\7.23(1+0.0114)^6\\7.23(1.0114)^6\\[/tex]
[tex]7.74[/tex] billion
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Of the 160 seventh graders, 3/4 went to the pep rally. How many students went?
=======================================================
Explanation:
Draw a circle and split it into 4 equal pieces.
We'll split the 160 students into four equal groups
160/4 = 40
Write the number 40 in each slice. Shade 3 of those slices to represent 3*40 = 120 students went to the pep rally (the remaining 40 did not go).
Answer:
120
Step-by-step explanation:
Take the 160 divide by ¾ to get 120.. These are the number of students who went
Dorothy wants to purchase a car. She reviewed her budget and can comfortably afford a car payment of $490 per month. She has good credit and anticipated being able to secure a 4-year loan at 4% interest.What is the maximum cost she should pay for a car to stay within her budgeted monthly amount?
$21702.
$19762.
$16185.
$10386.
The maximum cost Dorothy should pay for the car to stay within her monthly budget amount is $23,518.84. See the explantion below.
What is a budget?A budget is a financial plan that takes into account both income and costs. In other words, it's a projection of how much money you'll make and expend over a specific time period, such as a month or a year.
The calculation that justified the above amount is solved as follows:
Given that:
Rate = 4%
Time = 4 years
The monthly payment is $490, to determine the amount (maximum) in 4 years, we use the Compound Interest formula:
A = P (1+ (r/n)ⁿᵇ
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
b = number of time periods elapsed
A = P (1 + (0.04/1)^(1x4)
A = P (1.04)⁴ in four years
Hence, given that the monthly payment over the four-year period is $490, we say:
P [(1.04)⁴] /12 x4 = 490
⇒ P (1.04)⁴ = 490 x 48
P = (490 x 48)/1.1699
P = 20104.2824173
P [tex]\approx[/tex] 20,104
The maximum amount payable hence
= 20,104 (1.04)⁴
A = 23518.837
A [tex]\approx[/tex] 23,518.84
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Wright 25*10^6 in standard form
Answer:
2.5*10^7
Step-by-step explanation:
standard form means 1 number before the decimal
I need help asap!!
What Is the slope of the line on the graph?
Answer:
[tex]m = \frac{2 - 4}{ 6 - 0} = \frac{ - 2}{6} = - \frac{1}{3} [/tex]
Hi that would be -1/3 or 1/-3 either one is correct.
Rex and Gavin were splitting nachos. Rex ate 5/6 of the nachos
and Gavin ate of the nachos.
1/8
What fraction of the nachos did they eat together?
Answer: 23/24
Step-by-step explanation:
1) Set up the equation
[tex]\frac{5}{6} + \frac{1}{8}=?[/tex]
2) Set the fractions equal to each other
Find a number that can make both denominators the same.
What I found is that both numbers can multiply by 24! By multiplying the same number on the denominator and numerator ([tex]\frac{4}{4}[/tex]), the fraction doesn't change.
[tex]\frac{4}{4} * \frac{5}{6} + \frac{1}{8} * \frac{3}{3} =?\\\frac{20}{24} + \frac{3}{24}=?[/tex]
3) Add up the fractions
[tex]\frac{23}{24}}=?[/tex]
y = 3x + 7
y = -2x - 8
Answer: the answer for y=3x+7 is x=y-7/3
the answer for y = -2x - 8 x=-8-y/2
Step-by-step explanation:
Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts
more blue counters in the bag.
She is going to take one counter without looking. The probability that the
counter will be blue is.
How many more blue counters did Jess put in the bag?
Jess put 7 blue counters in the bag.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0.
Given Data
Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts
more blue counters in the bag.
Let x be the counter she puts in the bag
Total = 1 + 2+x
Total = 3 + x
Blue counters = 1 + x
Probability:
[tex]\frac{1+x}{3+x}[/tex] = [tex]\frac{4}{5}[/tex]
5(1+x) = 4(3 +x)
5 + 5x = 12 + 4x
x = 7
Jess put 7 blue counters in the bag.
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H
3. A scale drawing of a rectangular park is 9 inches wide and 12 inches long. The scale used is
1 inch = 18 feet. What is the area of the actual park in square feet?
Answer: Area = 34992 square feet
Step-by-step explanation:
W = (9*18)
L = (12*18)
Area = W*L
Therefore, Area = 34992, and don't forget square feet
43 = -3w - 6w -29 solve for w and simplify your answer as much as possible
Answer:
w = -8
Step-by-step explanation:
43 = -3w - 6w -29
combine w terms on right side:
43 = -9w -29
add 29 to both sides:
43 + 29 = -9w -29 + 29
72 = -9w
divide both sides by -9:
72/-9 = -9w/-9
w = -8
What is 81  divided by 11016
A mortician works 45 hours a week. 15 hours are spent doing paperwork. Another mortician works 25 hours a week and spends 8 hours, 20 minutes on paperwork. Which mortician spends the greater fraction of time working on paperwork? Why?
The two mortician spent equal fraction on time working to paperwork
Comparing FractionsIn the given question, we have two mortician that work different hours.
The first mortician worked 45 hours a week and spent 15 hours doing paperwork.
The second mortician worked 25 hours a week and spent 8.33 hours on paper work.
Let's compare the ratios and find which mortician had a greater fraction on paperwork.
Mortician A
[tex]\frac{15}{45}= 0.3[/tex]
Mortician B
[tex]\frac{8.333}{25} = 0.3[/tex]
From the calculation above, both mortician spent equal ratio of time doing paperwork.
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Solve the inequality.
x-4.5> -1.8
Whats the
Inequality:
Answer: x>2.7
Step-by-step explanation:
in the questionnaire design process, what is the first step? determine the data-collection method determine the survey objectives, resources, and constraints decide on question wording determine the question response format
There are nine different steps in questionnaire design process among which the first step is to decide upon the information required.
A good survey needs a well-designed questionnaire. However, as there is no theory of questionnaires to serve as a guide, the researcher must build his or her own intuition for what constitutes "excellent design."
A good questionnaire should directly contribute to the accomplishment of the study's goals, give complete and accurate data, be simple for interviewers and respondents to complete, allow for solid analysis and interpretation, and be brief.
The design of a questionnaire will depend on whether the researcher wants to gather quantitative data or qualitative data for the sake of better understanding or developing hypotheses about a subject (to test specific hypotheses that have previously been generated).
In the questionnaire design process, there are in all nine steps in developing the questionnaire -
Decide the information required.Define the target respondents.Choose the method(s) of reaching your target respondents.Decide on question content.Develop the question wording.Put questions into a meaningful order and format.Check the length of the questionnaire.Pre-test the questionnaire.Develop the final survey form.Thus, the first step in the questionnaire design process is to decide the information required.
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Solve V³ = 40
…………….
[tex]2 \sqrt[3]{5} [/tex]
2(3^√5
63 divided by 7 x 3 - 4
Step-by-step explanation:
Dmas divide multiple add subtract
divide 63 by 7 = 9 then multiply by 3 = 27 then subtract by 4 27-4 = 23
your awnser is 23
The value of the expression is -1.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
63 ÷ 7 x 3 - 4
Using PEMDAS rule of operation.
We multiply first.
So,
= 63 ÷ 21 - 4
Using the division.
= 63/21 - 4
= 3 - 4
= -1
Thus,
The value of the expression is -1.
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Question 8 options:
4x-3
x=2
4(2)-3
The
property is used here.
Answer:
the property is used here in 4(2)-3
The required property that is used is the substitution of values in the variable.
Given that,
A simplification of the expression is given we have to determine which property is used in the simplification,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As in the simplification shown that the variable x is substitute by the constant value 2, so this property can be stated as the substitution property.
Thus, the required property that is used is the substitution of values in the variable.
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Simplify (8.1)(8.12)4.
Answer: 263.088
Step-by-step explanation:
Multiply the equation
¨What does Multiply mean?¨
To compute a product; to perform a multiplication.
(8.1) x (8.12) x 4
Answer c
Step-by-step explanation: I did the test i hope this help unlike that girl who just wrote random numbers anyways have a good day
to determine her blood sugar level, keri divides up her day into three parts: morning, afternoon, and evening. she then measures her at randomly selected times during each part of the day.
This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.
The stratified sampling can be defined as the sampling from the population which is partitioned or divided into many parts.
Here, the lady has divided her day into three parts morning, afternoon and evening.
This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.
This is a type of stratified sampling.
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Please do Equations A-D!!! Find the discriminant, numbers of roots, and type of roots and tell me which method you used to solve. Thank you in advance!! I will mark BRAINLIEST!!!
Discriminant for A-3, (2 imaginary solution)
Discriminant for B-1152 (2 real solutions)
Discriminant for C-400 (2 real solutions)
Discriminant for D-96 (2 real solutions)
I hope I was able to help some of it!
What is the biconditional statement that corresponds to “congruent angles are angles with the exact same measure”
Two angles are congruent if and only if they have the same measure.
Given,
“Congruent angles are angles with the exact same measure”
To define the Biconditional Statement:
Now,
What is Biconditional Statement ?
If two angles have the same measure, then the angles are congruent and if two angles are congruent, then the angles have the same measure.
"If two angles are congruent, then they have the same measure."
P = two angles are congruent.
Q = they have the same measure.
Hence, Two angles are congruent if and only if they have the same measure.
or: P if and only if Q, this is biconditional.
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Mila bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it decreased by 35%. During the second year the value of the stock decreased by 32%. Write an expression in terms of a that represents the value of the stock after the two years have passed.
Mila bought stock in company two years ago that was worth x dollars. During first year that she owned the stock, it decreased by 35%. During second year the value of the stock decreased by 32%, an expression in terms of a that represents the value of the stock after the two years have passed is 2x+0.67.
What do you mean by percentage?It is not always obvious from the context what a % is in relation to because of inconsistent usage. The typical meaning of a "10% rise" or "10% decline" in a quantity is that this refers to the quantity's starting value. As an illustration, the new price of a $200 item would be $220 if the price increased by 10%, or $20. The final price is equal to 100% of the starting price (100% + 10% = 110%).
Other instances of % changes include:
If a quantity is increased by 100%, the final amount will be 100% more than the original amount (100% of initial + 100% of increase = 100% of initial). The quantity has therefore doubled.
If an amount is increased by 800%, the final sum will be nine times as large as the original (100% + 800% = 900% = 9 times as large).
When something is reduced by 60%, the final sum equals 40% of the original (100% - 60% = 40%).
A reduction of 100% results in a final value of 0% (100% - 100% = 0%).
In general, if a quantity is changed by x percent, the final amount will be 100 + x percentage of the original amount, or (1 + 0.01x) times the original amount.
x-35%+x-32%
⇒[tex]x-\frac{7}{20} +x-\frac{8}{25}[/tex]
⇒[tex]2x+(\frac{-175-160}{500})[/tex]
⇒2x+0.67
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PLEASE HELP DUE IN 3-4 MINUTES THANK YOU!!
Answer: -28 percent
Step-by-step explanation:
Use the graph to estimate the x- and y-intercepts of this function and describe where the function is positive and negative.
Answer:
the graph you want is
Step-by-step explanation:
help me with this please
Answer:
awnser is b dived by a plus k
"What is the constant of proportionality? Write your answer as a whole number or decimal." pleas help me with this tyty
The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
For example x ∝ y
The graph of seconds and ounces has shown.
If we look at the graph it is clear that as the ounces are increasing the seconds are also increasing. Therefore, it is a direct proportion.
Let's suppose the proportion is x ∝ y where x is ounces while y is seconds.
Removing proportionality,
x = ky
k = x/y
Substitute,(x,y) = (1,2)
k = 1/2
Hence "The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2".
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My number is three different digits, the sum of the digits is equal to 3x5, the hundreds digit is the only odd digit, i'm greater than 30x9 and less than 50x9
Answer: 735
Step-by-step explanation:
if the probability that an event will occur is changed as a result of the occurrence of a previous event, the events are said to be \ \ \ \ \ \ \ \ \ .
If the probability that an event will occur is changed as a result of the occurrence of a previous event, the events are said to be dependent events.
There, are two types of events- dependent and independent. Independent ones are those wherein the occurrence of one event has no effect on the probability of occurrence of another one. For example- you and your classmate passing a test are both independent events.
On the other hand, dependent events are those events that are affected by a change in any one of the events probability changing. For example- studying for a test and passing the test are both dependent events.
Thus, if the probability that an event will occur is changed as a result of the occurrence of a previous event, the events are said to be dependent events.
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if triangles have two corresponding angles and one corresponding side congruent but the side is not between the angles then the triangles are
right,scalene,congruent,obtuse,acute
Answer: congruent
Step-by-step explanation:
The personal assets and liabilities of a dentist are listed below.
What is the dentist's personal net worth if they pay off their student loans?
O $105,641
O $121,998
O $159,686
O $381,585
The net worth of the dentist is $381,585. And the correct option is D.
What is net worth?A person's or company's net worth is the value of their assets less the amount of liabilities they have.
The personal assets and liabilities of a dentist are listed below.
Car Value = $26,250
Car Loan = $4,600
Savings Account Balance = $42,607
Office Equipment = $19,400
Student Loans = $2,949
Credit Card Balance = $413
Checking Account Balance = $79,391
Home Value = $218,950
Net Worth of Dentist's
= Personal assets - liabilities
= 26250 - 4600 + 42607 + 19400 +79391 + 218,950 - 413
= 386598 - 4600 - 413
= 381585
= $381,585
Therefore, net worth is $381,585.
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