Answer:
The function which has a slope of 4 will be that function or line which is going through the points (2, 0) and (3, 4).
What is a linear function?
A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
In the given question is saying for the second case the line goes through points (2, 0) and (3, 4) so the slope will be
(4 - 0)/(3 - 2) = 4 hence, it will be the correct answer because it is the only line that has a slope of 4.
Answer:
On a coordinate plane, a line goes through points (2, 0) and (3, 4).
Step-by-step explanation:
Find the sales tax for three CDs, if each CD is $14.29 and the sales tax is 7.25%. What is the answer?
A. $3.34
B. $3.86
C. $3.11
D. $3.08
Answer:
C
Step-by-step explanation:
Answer please I need it ASAP
Answer:
answer what???
Step-by-step explanation:
the candle was 1 inches long when new.Each half hour 3/4 inch of the candle burned away.After 4 hours,how long was the candle
Solve (3x+7)=4x for x
Answer:
x=7
Step-by-step explanation:
(3x+7)=4x
Subtract 3x from each side
(3x+7) -3x=4x-3x
7 = x
there are 5,280 feet in 1 mile if Riley ran 26,400 feet how many miles did she run
John has a savings account that pays him a compounded interest rate of 10%. The interest rate is compounded monthly. His starting principal is $1,604.00. What is his second month's interest?
John's second month's interest, given his starting principal and the interest rate, is $13.48
How to find the second interest?First, find the monthly interest rate as the savings account is compounded monthly:
= 10% / 12 months per year
= 10/12 %
The amount after the first month would be:
= 1, 604 x ( 1 + 10/12%)
= $1, 617.37
The second month's interest to John is therefore:
= 1, 617. 37 x 10/12%
= $13.48
In conclusion, in the second month of his savings investment, John would make an interest of $13.48.
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Tyson’s puppy weighed 8 pounds 3 ounces last year.
In one year the puppy gained 2 pounds 4 ounces.
How much does Tyson’s puppy weigh now in ounces?
Enter your answer in the box.
Answer:
167 oz or 10 pounds 7 oz
Step-by-step explanation:
Select the correct answer. Simplify the following algebraic expression. √45x^5 A. 9x²√5x OB. 91³√5x² О с. 3x²√5x OD. 3r³√5x²
please help me and can you explain how you got your answer
The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x
Simplifying an algebraic expressionFrom the question, we are to simplify the given algebraic expression.
The given expression is
√45x^5
First, we will write the given expression properly
The expression written properly is
√45x⁵
Simplifying
√45 × √x⁵
√9×5 × √x⁴×x
√9 × √5 × √x⁴ × √x
3 × √5 × x² × √x
3 × x² × √5 × √x
3x² × √5×x
3x² × √5x
3x²√5x
Hence, the simplified expression is 3x²√5x
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Question 4 of 10What is the value of x in the figure below? In this diagram, AABD - ACAD.10B1625O A.B.165O C. 8OD. 15OE. 160OO F. 16
The first step to find the answer to this question is to find the missing leg of the greatest triangle. To do it we have to apply pythagorean theorem:
\(\begin{gathered} l=\sqrt[]{16^2-10^2} \\ l=\sqrt[]{256-100} \\ l=\sqrt[]{156} \end{gathered}\)Now, use this value and the pythagorean theorem (again) to state two equations that are useful to find the height of the two smallest triangles. For one of them it would be:
\(h=\sqrt[]{10^2-x^2}\)For the other one:
\(h=\sqrt[]{\sqrt[]{156}^2-(16-x)^2}\)Make both equation equal and solve for x:
\(\begin{gathered} \sqrt[]{10^2-x^2}=\sqrt[]{\sqrt[]{156}^2-(16-x)^2} \\ 10^2-x^2=\sqrt[]{156}^2-(16-x)^2 \\ 100-x^2=156-(256-32x+x^2) \\ 100-x^2=-100+32x-x^2 \\ 200=32x \\ x=\frac{200}{32} \\ x=\frac{25}{4} \end{gathered}\)It means that the correct answer is A. 25/4.
what is an example of "The restriction of a function f"?
The restriction of a function f is when the domain of f is limited to a subset of its original domain.
What is an example of "The restriction of a function f"?The restriction of a function f can be demonstrated by considering a function f: R -> R, where R represents the set of real numbers.
Let u say f(x) = x^2. Now, if we restrict the domain of f to the interval [0, 5], the new function becomes f restricted: [0, 5] -> R and its expression would be f restricted(x) = x^2 for x in the interval [0, 5].
This means that the function f restricted only takes inputs from the interval [0, 5] and behaves the same way as the original function within that interval.
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An empty suitcase has a mass of 2 kilograms draw a bar model to find its mass in grams.(1 kilogram=1000grams)
Answer:
2000 kilograms
Step-by-step explanation:
What’s the square root of √125
Answer: \(5\sqrt 5\)
Step-by-step explanation:
Sol \(\sqrt 125\) = \(\sqrt{25.5}\)
= \(\sqrt{25}\) x \(\sqrt{5}\)
\(5 \sqrt{5}\)
Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
Answer:
39 3/8 ft ^2
Step-by-step explanation:
To find the area of a rectangle, multiply the length times the width.
A = l*w
= 7 1/2 * 5 1/4
Change the mixed numbers to improper fractions.
A = 15/2 * 21/4
=315/8
Change back to a mixed number.
8 goes into 315 39 times with 3 left over.
= 39 3/8
Answer:
Area = 39.375 ft²
(you can round to 39.4)
Step-by-step explanation:
Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
7 1/2 = 7.5 ft
5 1/4 = 5.25 ft
Area = L x W
Area = 7.5 x 5.25
Area = 39.375
Show all work to write the expression in simplified rational exponent form:
\(\sqrt[4]{17x^{2}}\)
(Fourth root of 17 x squared)
Answer:
\((17x)^{\frac{2}{4}}\)
Step-by-step explanation:
There's not much work to show for this problem, but I'll explain it for you
Use the exponent rule for roots to combine the 4 and the 2 like a fraction
2 on the top and 4 on the bottom
\((17x)^{\frac{2}{4} }\)
That's it! Pretty easy
Good Luck!
pls mark brainliest
A set of data is described as:
The data is around 12. If another measurement were taken, it would probably be around 12.
Which group of measures would lead to this conclusion?
Range—7
Mode—11
Median—12
Mean—12
Range—6
Mode—11
Median—11
Mean—11
Range—14
Mode—12
Median—9
Mean—12
Range—5
Mode—11
Median—12
Mean—10
The group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.
Given that, the data is around 12. If another measurement were taken, it would probably be around 12.
We need to find which group of measures would lead to this conclusion.
What are the mean, median and mode of the data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.
The median of the data is the middle value of the data set when it arrange in ascending or descending order. The data is around 12 which suggests that the median is 12.
Median=12
The mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.
Mean and mode is around the median. For this case, the mean of the data is 12 and the mode is 11.
Mode=11
Mean=12
Thus, the group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.
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Period:
9) Maria walked 20 miles yesterday. Today she walked 30 miles. What was the percent of increase Maria walked?
10) Pedro goes to 70 % of the basketball teams games. If the basketball team plays 20 games, how many did he go to?
11) Your bill at a restaurant comes to $ 24.00. You want to leave a 15% tip. What is your final bill?
12) Monica wants to buy a bag of Taxis for $13.50. If the store is having a discount of 20% off, how much is she spending?
13) How much interest is earned on $ 100 at 70 % for 9 years?
14) How much interest is earned on a $42 investment at 5 % for three years?
The percent of increase Maria walked if found as the 50%.
Explain the term percent increase?The amount that a percentage has increased over time is expressed as a percent increase.One would need to figure out the difference between the initial value and the final value, subtract to determine the precise sum of the drop, in order to arrive at this amount.The formula for the percentage increase is given as;
Percent increase = Increase / original number x 100
original number = 20 miles
Increase = 30 miles - 20 miles
Increase = 10 miles
So,
Percent increase = 10 / 20 x 100
Percent increase = 50%
Thus, the percent of increase Maria walked if found as the 50%.
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The correct question is-
9) Maria walked 20 miles yesterday. Today she walked 30 miles. What was the percent of increase Maria walked?
Find the 23rd term in the arithmetic sequence an = −7 + 9(n − 1).
The 23rd term in the arithmetic sequence is 191.
To find the 23rd term in the arithmetic sequence defined by the formula :
an = -7 + 9(n - 1), we can substitute the value of n into the formula and simplify.
The given formula for the nth term of the arithmetic sequence is an = -7 + 9(n - 1).
Let's substitute n = 23 into the formula:
a23 = -7 + 9(23 - 1)
= -7 + 9(22)
= -7 + 198
= 191
Therefore, the 23rd term in the arithmetic sequence is 191.
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How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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Root of the equation
Answer:
A fancy way of saying "solutions" of the equation
Alexis has $3.25 in nickels and dimes. The number of dimes is 5 less than twice the number of nickels. Find the number of nickels
Answer:
15 nickels were there with Alexis
Step-by-step explanation:
Let there be x nickels
given that
The number of dimes is 5 less than twice the number of nickels.
no of dimes in terms of x = 2*number of nickels - 5 = 2x - 5
we know that
value of 1 nickel = 5 cents
then
value of x nickel = 5*x cents = 5x cents
we know that
value of 1 dime = 10 cents
then
value of 2x-5 dime = 10(2x - 5) cents = 20x - 50 cents
Total value of x nickel and 2x -5 dimes = 5x + 20x - 50 = 25x - 50
given that
Alexia has total of $3.25 in nickel and dimes thus 25x - 50 must be equal to $3.25
$1 = 100 cents
$3.25 = 3.25 * 100 cents = 325 cents
Thus,
25x - 50 = 325
25x = 325 + 50 = 375
x = 375/25 = 15
Thus, no of nickels = x = 15 answer
Find the measure of the third angle of the triangle given the measure of two angles are 63 and 22
Answer:
95
Step-by-step explanation:
The three angles in a triangle counted together always make 180 degrees. Therefore, you can find the measure of the third angle by using this:
180=63+22+x(the third angle)
180-63-22=x
95=x
Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed.
Answer:
Jada travels faster at a speed of 45mph
Step-by-step explanation:
Jada travels faster at a speed of 45mph
When you divide the overall miles from the time it takes you get the miles per hour.
Jada: 135/3= 45
Andre: 228/6= 38
Jada travels at 45mph as Andre travels at 38mph.
Hope this helps!
Answer:
45
Step-by-step explanation:
Suppose you invest $5,000 at 4% annual interest. How much money would your investment be worth after 10 years? Round your answer to the nearest hundredth (2 places after the decimal).
The investment will be worth $7,401.22 after 10 years
Here, we want to calculate the amount the investment will be worth after 10 years
Mathematically, to get this, we will use the compound interest formula;
\(A\text{ = P(1 + }\frac{r}{n})^{nt}\)where A is the amount after 10 years
P is the amount invested which is $5,000
r is the interest rate which is 4%, same as 4/100 = 0.04
n is the number of terms yearly the investment will be compounded. Since the interest rate is annual, then the number of times it will be compounded yearly is 1
t is the number of years which is 10 in this case
Substituting these values, we have;
\(\begin{gathered} A\text{ =5000 (1 + }\frac{0.04}{1})^{1\times10} \\ \\ A=5000(1+0.04)^{10} \\ \\ A=5000(1.04)^{10} \\ \\ A\text{ = 7,401.22} \end{gathered}\)I NEED HELP pleaseeeeeeeeeeeee
a guy combined a 10oz substance containing 6% cottonseed with another substance containing 12% cottonseed to create a substance with 8% cottonseed. How many ounces of the 12% substance must he use?
By solving a linear equation for the concentration we will see that the guy needs to use 18 ounces.
How many ounces of the 12% substance must he use?We know that the guy used 10 ounces of 6% solution with x ounces of a 12% solution to make a 8% solution, then we can write the concentration equation:
0.06*12 + 0.12*x = (12 + x)*0.08
So we just need to solve a linear equation for x.
0.06*12 + 0.12*x = (12 + x)*0.08
0.06*12 + 0.12*x = 12*0.08 + x*0.08
0.12*x - 0.08*x = 12*0.08 - 0.06*12
0.04*x = 0.06*12
x = 0.06*12/0.04 = 18
Which means that the guy needs to use 18 ounces of the 12% substance.
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The ages of 22 students in a karate class are given below
11, 5, 9, 13, 8, 9, 9, 11, 10, 8, 6, 7, 12, 11, 13, 12, 11, 13, 12, 7, 6, 11, 12, 10, 8
What is the spread (range) of the data?
What is the mode of the data?
How many students are at least 10 years old?
The spread of the data would be 8. The mode would be 11 and the number of students at least 10 years of age is 13 students.
How to find the spread, mode and students ?First, order the ages of the students :
5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13
The range or spread is:
= Largest number - smallest
= 13 - 5
= 8
Identify the mode of the data, which represents the value that appears most frequently. From the given dataset, the number 11 appears the most, occurring 4 times. Therefore, the mode of the data is 11.
From age 10 to 13, there are 14 students who are aged 10 and above or at least 10.
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A fish tank has 8 goldfish, 6 tetras, 5 snails, and 2 platies. What is the ratio of tetras to platies?
A. 6/2
B. 2/8
C. 2/6
D. 8/6
One number exceeds another by 9. The sum of the numbers is 35. What are the numbers? The numbers are (Use a comma to separate answers.
9514 1404 393
Answer:
13, 22
Step-by-step explanation:
Let s represent the smaller. The sum of the numbers is ...
s + (s+9) = 35
2s = 26 . . . . . . subtract 9
s = 13
s+9 = 22
The two numbers are 13 and 22.
_____
Additional comment
As you can see, the smaller number is half the difference of the sum and difference: s = (35-9)/2. This is the generic solution to a "sum and difference" problem.
Write an
exponential function in the form y
and (2,324).
abr that goes through points (0,4)
Answer:
y=4(9)x
Hope it helps
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Young is roping off an area to play soccer in her backyard. The field needs to be 30 feet by 15 feet. How much rope will she need ?
Answer:
90 feet
Step-by-step explanation:
perimeter = 30x2 + 15x2 = 90 feet
Does the following table show a proportional relationship between the variables x and y? x 5/6 25/6 125/6 y 2 10 50
Answer: A:Yes
Step-by-step explanation:
This table shows a proportional relationship between the variables x and y.
Answer:
Your answer would be Yes
Step-by-step explanation:
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