Question 5(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify square root of three times square root of twenty one.
square root of twenty four
square root of sixty three
three square root of seven
nine square root of seven
Answer:11/2-5/7
Step-by-step explanation:
This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
There are 8 midsize cars and 15 compact cars and 6 will be selected. What is the probability of selecting all midsize cars?
Answer:
Assuming order does not matter, the probability of selecting all midsize cars is 0.000277373, or \(\frac{4}{14421}\).
Step-by-step explanation:
First, we must find the n(Total arrangements of selections)=(8+15)C6
n(Total arrangements of selections)=23C6
n(Total arrangements of selections)=100,947
Second, we must find the n(Arrangements where all are midsize cars)=8C6
n(Arrangements where all are midsize cars)=28
To find the probability of selecting all midsize cars, we divide the n(Arrangements where all are midsize cars) by the n(Total arrangements of selections):
P(All midsize cars)= \(\frac{28}{100,947}\)
P(All midsize cars)= \(\frac{4}{14421}\)=0.000277373.
Evaluate log4 exponent 0.5
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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This is iready please help me I’m in 7th grade
yes because it literally says drink size Oz
Answer:
Yes, the price of the drink is proportional to the number of ounces.
Step-by-step explanation:
You can check this by dividing:
12÷ 2.40= 5
16÷ 3.20= 5
20÷ 4= 5
Question #3
Determine if the following scenario is best described as an observational study, survey, or experiment.
A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where
of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants
each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's
overall health.
Experimental Study
Observational study
Saved Survey
The type of sytudy that we have here is the observational study.
What is the observational study?
In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.
In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.
The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.
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Consider the function \(y=\sqrt{5x-5}+1\)
Which inequality is used to find the domain?
The inequality is used to find the domain of the given function is
5x-5 ≥ 0
What is a function?A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.
Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.
Since, the function is a square root function.
We know that,
The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.
The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :
5x-5 ≥ 0
Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0
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m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3
10
Use the cards 1-10. Draw cards without replacing.
A.
B.
CÓ Ư
C.
D.
E.
F.
P(6, then 1)
P(even, then 5)
P(8, then odd)
P(3, then prime)
P(prime, composite)
P(even, then 3, then 5)
4
8
2
6
9
3
10
A. P(6, then 1) = 1/90
B. P(even, then 5) = 1/18
C. P(8, then odd) = 1/18
D. P(3, then prime) = 2/45
E. P(prime, composite) = 4/15
F. P(even, then 3, then 5) = 1/144
Given:
Total number of cards: 10
A. P(6, then 1):
P(6, then 1) = 1/10 x 1/9
= 1/90
B. P(even, then 5):
Number of favorable outcomes: 5 x 1 = 5
P(even, then 5) = 5/10 x 1/9
= 1/18
C. P(8, then odd):
Number of favorable outcomes: 1 x 5 = 5
P(8, then odd) = 1/10 x 5/9
= 1/18
D. P(3, then prime):
Number of favorable outcomes: 1 x 4 = 4
P(3, then prime) = 1/10 x 4/9
= 2/45
E. P(prime, composite):
Number of favorable outcomes: 4 x 6 = 24
P(prime, composite) = 4/10 x 6/9
= 4/15
F. P(even, then 3, then 5):
Number of favorable outcomes: 5 x 1 x 1 = 5
P(even, then 3, then 5) = 5/10 x 1/9 x 1/8
= 1/144
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The dimensions if a square are doubled. What happens to the are of the square? A) The area triples B) The area doubles. C) The area quadruples. D) The are stays the same.
Answer:
THE ANSWER IS B
Step-by-step explanation:
2+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Expand and simplify (2x + 1)(x + 3)
expand and simplify (2x + 1)(x + 3)
answer : \(2x^2+7x+3\)
-
explanation : expand the polynomial using the FOIL method.
-
FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.
-
step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)
ex : \(2x * x+2x * 3+x+3\)
step 2 : calculate the product
ex: \(2x^2+2x * 3+x+3\)
step 3 : calculate the product
ex: \(2x^2+6x+x+3\)
step 4 : collect like terms
ex: \(2x^2+7x+3\)
-
solution : \(2x^2+7x+3\)
hope this helps !
- audrey ♡
which expression is equivalent to the following complex fraction?
(pls help me out)
Answer:
B. \( \frac{-4x + 7}{2(x - 2)} \)
Step-by-step explanation:
Simplify the given expression to determine its equivalent expression in the given options.
\( \frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}} \)
\( \frac{\frac{3}{x - 1} - \frac{4}{1}}{\frac{2}{1} - \frac{2}{x - 1}} \)
\( \frac{\frac{3 - 4(x - 1)}{x - 1}}{\frac{2(x - 1) - 2}{x - 1}} \)
\( \frac{\frac{3 - 4x + 4}{x - 1}}{\frac{2x - 2 - 2}{x - 1}} \)
\( \frac{\frac{-4x + 7}{x - 1}}{\frac{2x - 4}{x - 1}} \)
\( \frac{-4x + 7}{x - 1} * \frac{x - 1}{2x - 4} \)
(x - 1) cancels (x - 1)
\( \frac{-4x + 7}{1} * \frac{1}{2x - 4} \)
\( \frac{(-4x + 7)1}{1(2x - 4)} \)
\( \frac{-4x + 7}{2x - 4} \)
\( \frac{-4x + 7}{2(x - 2)} \)
please explain what comparison you can state about the two angles and explain how you can draw that conclusion
The conclusion about angles B and C is that the angles are equal angles
How to determine the true statement?
The given parameters are:
Angle A and Angle B are supplements
Angle A and Angle C are supplements
Supplementary angles add up to 180 degrees.
This means that
A + B = 180
A + C = 180
Subtract the two equations
So, we have
A - A + B - C = 180- 180
Evaluate the like terms
So, we have
B - C = 0
Add C to both sides
B = C
Hence, both angles are congruent angles
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To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
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STEM The table shows the relationship between the mass m and the force w of weights on the ground. Write an equation representing this relationship. Force
(newtons) Mass (kilograms) 9.8 1 19.6 2 29.4 3 39.2 4
Answer:
Below
Step-by-step explanation:
F= 9.81 m From the 'table' Where F = Newtons and m = kg mass
The distance between two towns is 120 kilometers there are approximately 8 kilometers in 5 miles which measurement is closest to the number of mules between these two towns
Answer:
75 Kilometers
Step-by-step explanation:
We have been given that the distance between two towns is 120 km.
We are also told that there are approximately 8 km in 5 miles. Let us find number of miles per km by dividing 5 by 8.
\text{Number of miles in 1 km}=\frac{5\text{ miles}}{\text{8 Km}}
\text{Number of miles in 1 km}=0.625\frac{\text{ miles}}{\text{ Km}}
Therefore, there are 0.625 miles in 1 km.
To convert our given distance into miles we will multiply our given distance by number of miles in 1 km.
\text{Number of miles in 120 km}=120\text{ km}\times \frac{0.625\text{ miles}}{\text{ km}}
\text{Number of miles in 120 km}=120\times 0.625\text{ miles}
\text{Number of miles in 120 km}=75\text{ miles}
Therefore, the distance between two towns is 75 miles.
Answer:
The answer is 75, I had this question a few days ago and I got it right
Answer:75
when calculating the size of the labor force, the bureau of labor statistics counts not only people who are employed, but also
people who are unemployed but actively searching employment.
The Bureau of Labor Statistics (BLS) is a US government agency that provides data on labor market activity, working conditions and price movements in the economy.
Part of the U.S. Department of Labor, it is responsible for the collection, analysis, and public dissemination of economic data. BLS produces a wide range of statistical information, including data on employment, unemployment, wages, productivity, consumer price inflation, and occupational injuries and illnesses.
They also conduct research and publish reports on various labor market and business issues. The BLS is an invaluable resource for policy makers, businesses, workers and others who need reliable and up-to-date information on the state of the economy and labor market.
The workforce is defined as the total number of people who are employed or unemployed but are actively looking for work. Pensioners, students and housewives are not included. To be considered an active job seeker, you must have taken certain steps to find a job within the last four weeks. The size of the labor force is an important indicator of the health of the economy as a whole, as it reflects the number of people contributing to economic activity or looking for work.
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Find the slope
-3/5
3/5
5/3
-5/3
Answer:
-5/3
Step-by-step explanation:
We have two points on the line ( 0,2) and ( 3, -3) so we can use the slope formula to find the slope
m = ( y2 -y1)/(x2-x1)
= ( -3 -2)/(3-0)
= -5/3
James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
In Mr. Romeo's class, a student must work on i-Ready for at least 4 hours per month to receive a grade of 100. Last month Sophia received a math grade of 100. Which inequality represents the number of hours Sophia spent working on i-Ready last month, where h represents the number of hours? (PLEASE HELP MEE!! GIVING 10 POINTS!)
A. h≥4
B. h>100
C. h≤100
D. h<4
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
Option A is the correct answer.
We have,
The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.
Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.
And,
The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.
Therefore,
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
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Katelyn can complete 17 integer questions in one minute. Collin can also complete 17 integer questions in one minute. Which expression does NOT represent the total amount integer questions Katelyn and Collin could complete if they both work for the same amount of minutes?
a: 17m + m
b: 34m
c: 2(17m)
d: 17m + 17m
Answer:
a: 17m + m
Step-by-step explanation:
Each one can answer 17 questions in 1 minute.
Each one can answer 17m questions in m minutes.
The total they can answer is 17m + 17m = 34m.
Every expression that is equal to 34m represents the amount they can both answer in the same number of minutes.
The expression we are looking for does not equal 34m.
a: 17m + m = 18m
b: 34m = 34m
c: 2(17m) = 34m
d: 17m + 17m = 34m
Only choice a does not equal 34m.
Answer: a: 17m + m
help dududidihendhhejrjfjf
Answer:
x = − 8
Step-by-step explanation:
Factor then solve to find the complex solutions.
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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please help me out with this
Answer:
a + 5b
Step-by-step explanation:
Distributive property: a*(b + c) = a*b + a*c3*(a + b). In this multiply each term with 3 and in -2(a- b), multiply each term with (-2).
3*(a +b) - 2*(a - b) = 3*a + 3*b + (-2)*a + (-2)*(-b)
= 3a + 3b - 2a + 2b
= 3a - 2a + 3b + 2b {Combine like terms}
= a + 5b
Like terms have same variable with same power. Here, 3a and (-2a) are like terms. So, combine the coefficients of the like terms
3a + (-2a) = a.
Triangle ABC is a 45*-45*-90* triangle where two vertices are A(-2,2) and B(-2,6) and AB is a leg of the triangle. What are all the possible ordered pairs for C?
4.01 ESSENTIAL QUESTIONS
How do you use the distance formula and slope formula to classify a
quadrilateral?
How do you use the distance formula and slope formula to classify a triangle?
How do you use the distance formula and slope formula to prove properties of
polygons?
4.02 ESSENTIAL QUESTIONS
How do you use the slope to prove lines are parallel or perpendicular?
How do you write an equation of a line so that it is parallel or perpendicular to a
given point?
How do you use parallel and perpendicular lines to solve real-world problems?
4.03 ESSENTIAL QUESTIONS
How do you divide a segment into given ratios?
How do you use coordinates to find the perimeter and area of polygons?
Answer:
You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom
Step-by-step explanation:
2^4c^-10 to a fraction
The given expression is
\(2^4c^{-10}\)We have to solve the power of 2.
\((2\cdot2\cdot2\cdot2)c^{-10}=16c^{-10}\)Then, we use the property for negative exponents.
\(a^{-b}=\frac{1}{a^b}\)This means we have to move the power to the denominator.
\(\frac{16^{}}{c^{10}}\)Therefore, the fraction is\(\frac{16}{c^{10}}\)You have 36 liters of fuel and just added 4,000 milliliters more. How many hectoliters of fuel do you have?
Answer:
we have to first start converting the given volume to liters, since the answer is expected in hectoliters.
36 liters + 4,000 milliliters = 36 liters + 4 liters = 40 liters
1 hectoliter = 100 liters
Therefore, we have:
40 liters = 0.4 hectoliters
So, we have 0.4 hectoliters of fuel.
Answer:
0.4 hectoliters of fuel
Step-by-step explanation:
We Know
You have 36 liters of fuel and just added 4,000 milliliters more.
How many hectoliters of fuel do you have?
1000 milliliters = 1 liters
4000 milliliters = 4 liters
We Take
36 + 4 = 40 liters of fuel
We Convert 40 liters to hectoliters
1 liter = 0.01 hectoliters
40 liters = 40 x 0.01 = 0.4 hectoliters
So, you have 0.4 hectoliters of fuel.