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Related Questions
simplify:7^x+2-9.7^x/20*7^x
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Given:
The expression is:
\(\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}\)
To find:
The simplified form of the given expression.
Solution:
We have,
\(\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}\)
It can be written as
\(\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=\dfrac{7^{x}\cdot 7^{2}-9\cdot 7^x}{-20\times 7^x}\)
\(\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=\dfrac{7^{x}(49-9)}{-20\times 7^x}\)
Cancel out the common factors.
\(\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=\dfrac{40}{-20}\)
\(\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=-2\)
Therefore, the simplified value of the given expression is -2.
I need help quick please
Answers
Answer:
I think it is B So sorry if it not
Step-by-step explanation:
Good Luck!
10.5 divided by 2 1/3
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Answer:
4.5
Step-by-step explanation:
It can be tricky to type this in a calculator, but the correct way to type this would be as follows: 10.5 / (2 1/3). This will then equal 4.5 :)
The result is: 10.5 divided by 2 1/3 is approximately 4.52.
To divide 10.5 by 2 1/3, we need to convert 2 1/3 into a decimal or mixed number.
we have to first convert 2 1/3 to a mixed number:
2 1/3 = 2 + 1/3 = 2.3333... (approximately, repeating)
Now, we have the division as:
10.5 ÷ 2.3333...
To divide a decimal number by another decimal number, we can follow these steps:
Then, remove the decimal point from the divisor (2.3333...) by multiplying both the dividend and divisor by 10, 100, 1000, or any power of 10, until the divisor becomes a whole number.
We have to, place the decimal point back in the quotient in the same position as the original dividend.
now, we have to choose 10 as the factor to multiply both the dividend and the divisor:
10.5 × 10 = 105 (Move the decimal point one place to the right)
2.3333... × 10 = 23.333... (Move the decimal point one place to the right)
Now, we have:
105 ÷ 23.333...
so, we get,
______
23)105.00000...
92
______
130
115
______
150 (23 × 6 = 138)
138
______
12
The result is 4.521739... (repeating).
Therefore, 10.5 divided by 2 1/3 is approximately 4.52.
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The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.
Which of the following is the best measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
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The range is the best measure of variability for this data, and its value is 4.
Which of the following is the best measure of variability for the data, and what is its value?The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).
The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:
Range = Maximum value - Minimum value = 4 - 0 = 4
Therefore, the range is the best measure of variability for this data, and its value is 4.
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Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
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The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
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what is the average rate of change of f(x)= –8x+20 over the interval [–17,–10].
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Answer:
Mein Name ist, mein Name ist, ich bin der beste Rapper, den es gibt
Step-by-step explanation:
HELP!
Additive volume of rectangular prisms TRUE/FALSE?
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3/5 + -7/5
Answer fast please
Answers
Answer:
-0.8
Step-by-step explanation:
hope this helps :3
Answer:
-4/5 for fraction or -0.8 for decimal
Step-by-step explanation:
Help pleaseee!! I will give brainlist
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The length FE in the circle is 6 units
The arc AE has a measure of 64 degrees
Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
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evaluate the function for f(2)
f(t) =-t - 5; find f(2)
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Answer:
\(f(2)=-7\)
Step-by-step explanation:
So we have the function:
\(f(t)=-t-5\)
To find f(2), substitute 2 for t. Thus:
\(f(2)=-2-5\)
Subtract:
\(f(2)=-7\)
And, we're done!
Ryan surveyed parents. He found 3 out of every 5 parents vote. 450 parents eligible. How many parents will vote in the election?
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Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
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The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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Show that 0.27 is multiplicative inverse
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0.27 is a multiplicative inverse because the product of \(\frac{27}{100}\) and \(\frac{100}{27}\) is 1
A multiplicative inverse is a number in the form 1/x which gives 1 as the result when multiplied by x. It can also be referred to as the reciprocal
That is:
\(x \times \frac{1}{x} = 1\)
Express 0.27 as a fraction
\(0.27 = \frac{27}{100}\\\)
If \(\frac{1}{x} = \frac{27}{100}\)
\(x = \frac{100}{27}\)
Multiply x by 1/x
\(\frac{27}{100} \times \frac{100}{27} = 1\)
Since \(\frac{27}{100} \times \frac{100}{27} = 1\), then 0.27 is a multiplicative inverse
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Management of natural resources can affect the sustainability of human populations. For example, consider an effort to decontaminate a small village’s water supply. This effort is projected to increase the carrying capacity from an initial population of 400 people (P=400) to 450 people (K = 450) during the course of 10 years (x=10). Use the simulation to determine the growth rate r of the population in this village.
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The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.
How to find the growth rate ?To find the percent change or growth rate of a quantity between two different values, you can use the formula:
Percent change = ( new value - old value ) / old value x 100%
The new value would be the population of the village after 10 years which is 450 people.
The old value is the initial population of the village which is 400
The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %
= 12. 5 %
The growth rate for the village is therefore 12. 5 % every ten years.
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95% of what number is 114?
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114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
Question 8(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
A new gaming chair costs $455.95. You have already saved $155.95 and earn $37.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
37.5 + 155.95w = 455.95; w = 8
37.5w + 155.95 = 455.95; w = 8
37.5w − 155.95 = 455.95; w = 16
37.5w − 455.95 = 155.95; w = 16
Answers
37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.
How do equations work?A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.
Equations can be categorized as identities or conditional equations.
w = (455.95-155.95)/(37.50)
=300/37.50
=8
So, number of weeks = 8
As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.
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pleaseeeee help ill give brainliest answerrrrr
Answers
Answer:
A= 360
Step-by-step explanation:
360
What is the surface area of the triangular prism with the
given net?
un
12
10
Select one:
578 cm
720 cm
1152 cm
1440 cm
Answers
Answer:
576 cm²
Step-by-step explanation:
10x15=150
10x15=150
12x15=180
1/2x8x12=48
1/2x8x12=48
150+150+180+48+48=576
how does physical activity improve school achievement
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Answer:
Cardiorespiratory capacity, muscular strength and motor capacity have an impact on school performance. Better breathing encourages communication between cells and motor skills help improve concentration.
-6(2r +8)=-10(r-3)
I need the work to
Answers
Answer:
r = -39
Step-by-step explanation:
So we are trying to solve the equation for r.
-6(2r + 8) = -10(r - 3)
Divide both sides by -2. (This will make distributing much easier.)
3(2r + 8) = 5(r - 3)
Distribute the 3 on the left side and the 5 on the right side,
6r + 24 = 5r - 15
Subtract 24 from both sides.
6r = 5r - 39
Subtract 5r from both sides.
r = -39
So now we have solve the equation.
I hope you find my answer and explanation to be helpful. Happy studying. :)
Answer:
Ok its -39
Step-by-step explanation:
https://www.tiger-algebra.com/en/solution/linear-equation-one-unknown/-6(2r+8)=-10(r-3)/
Please help! This is hard
Answers
Answer:
2 sorry if it’s wrong hope it helped
Step-by-step explanation:
Pls help I need this answer now As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship between eye color and hair color among students. The table below contains the results of the survey.
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Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D
To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.
From the given table, we can see that there are 22 students with gray eyes and red hair.
The total number of students with gray eyes is the marginal total for gray eyes, which is 35.
To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:
Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes
Relative frequency = 22 / 35
Simplifying the fraction, we have:
Relative frequency = 0.6286
Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.
Therefore, the correct answer is option OD) 0.63.
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Convert 10 pounds and 12 ounces to ounces.
Answers
Answer: 172 ounces
Step-by-step explanation:
We are given 10 pounds and 12 ounces to convert to ounces.
There are 16 ounces in 1 pound.
We can create a proportion to find out how much ounces 10 pounds is.
10 pounds / x ounces = 1 pound / 16 ounces
We need to solve for x by isolating the variable x.
10/x = 1/16
10 = x/16
10 * 16 = x
160 ounces = x
so 10 pounds is equivalent to 160 ounces. But we are not done yet.
We were asked to convert 10 pounds and 12 ounces.
So add together the ounces to find the total ounces:
160 ounces + 12 ounces = 172 ounces.
Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .
Multiples of 15: 15, 30, 45, 60, . . .
The least common multiple is 60.
What is Maria’s error?
Answers
Answer:
the lcm would be 30 not 60
Step-by-step explanation:
Answer:
the least common multiple is 30 but instead she found the greatest common mutiple.
Step-by-step explanation:
A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 9 ft, what percentage of the total capacity is being used? Round your answer to one decimal place at the end.
Answers
Using the formula of volume of cylinder, the percentage of the total capacity is 64.3%
What percentage of the total capacity usedThe first step is to find the volume of the cylinder, which is given by the formula:
V = πr^2h
where r is the radius of the cylinder (which is half the diameter), and h is the depth of the water.
We are given that the diameter is 14 ft, so the radius is 7 ft. The depth of the water is 9 ft. Substituting these values into the formula, we get:
V = π(7 ft)^2(9 ft) = 2204.4 cubic feet
Next, we need to find the volume of the water in the tank. Since the tank is cylindrical and the circular cross-sections are vertical, the volume of the water will also be a cylinder with radius 7 ft and height 9 ft. Using the same formula as above, we get:
V(water) = π(7 ft)^2(9 ft) = 1385.44 cubic feet
Finally, we can calculate the percentage of the total capacity that is being used by dividing the volume of the water by the total volume of the tank and multiplying by 100.
Total capacity of the tank can be calculated by finding the volume of the cylinder with height 14 ft and radius 7 ft.
V(total) = π(7 ft)^2(14 ft) = 2155.13 cubic feet
Therefore, the percentage of the total capacity that is being used is:
percentage = (V(water) / V(total)) * 100 = (1385.44 / 2155.13) * 100 ≈ 64.3%
Rounded to one decimal place, the answer is 64.3%.
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An employee earns $10.75 per hour. Write an equation that represents the total earnings in a week, y, as it relates to time in hours? Use your equation to find the total earnings for a 40 hour week.
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Answer:
40 X 10.75= 430
10.75/2= 5.375 round up 5.38
10.75 + 5.38 = 16.13
16.13 X 10 = 161.30
430+161.30= 591.3
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Question 7 options:
A)
h/k=k/i
B)
k/j=i/j
C)
h/j=k/i
D)
j/h=j/k
Answers
Answer:
C. \( \frac{h}{j} = \frac{k}{i} \)
Step-by-step explanation:
Given that \( \overline{TU} \) is parallel to \( \overline{QR} \), therefore:
\( \frac{ST}{TQ} = \frac{SU}{UR} \)
ST = h
TQ = j
SU = k
UR = i
Therefore substituting these into the equation, we have:
\( \frac{h}{j} = \frac{k}{i} \)
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Round the number 125.3546 to 1 decimal place.
Answers
Answer:
125.4
Step-by-step explanation:
Given
\(Number = 125.3546\)
Required
Round to 1 decimal place
Up till the first decimal place, the number is:
\(Number = 125.3\)
The digit after .3 is 5
The conditions for approximation are:
If n > 4, approximate to 1Else: approximate to 0In this case: 5 > 4, so we approximate to 1
Add this "1" to the last digit of 125.3. This becomes 125.4
Hence: when the number is approximated to 1 decimal place, the digit is 125.4
if i got a F this quarter but all passing grades last quarters yall think i would have summer school ?
Answers
Answer:
I dont know
Step-by-step explanation:
Answer:
Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)
Step-by-step explanation:
The ratio of girls to boys is 5:3 in a class. If there are 15 girls in the class, what is the class size? What is the unit ratio?
Answers
Answer:
Try setting up a proportion: \(\frac{5}{15}=\frac{3}{x}\) then cross multiply to solve for x which will try you how many boys are in the class. Then add the number of boys and girls together.
Step-by-step explanation: