The approximate side length of a square on the quilt = 6.32 inch
In this question,
Taynia makes a quilt using fabric squares.
We have been given the side length of each fabric square is the square root of the area.
Here, the area of each fabric square is 40 square inches.
We need to find the approximate side length of a square on the quilt.
Let A be the area.
A = 40 square inches
To find the side length, we need to take the square root of 40.
Let s be the side length.
⇒ s = √A
⇒ s = √40
⇒ s = 6.32 inch
Therefore, the approximate side length of a square on the quilt = 6.32 inch
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Givien f (x) = -4x-2 , find f (1).
Answer: -6
Step-by-step explanation:
-4(1)-2=-6
Answer:
f(1) = -6
Step-by-step explanation:
Hello!
Substitute 1 for x in the equation.
Evaluatef(x) = -4x - 2f(1) = -4(1) -2f(1) = -4 - 2f(1) = -6f(1) is -6.
Translate algebraic words to symbols. Triple the product of ab
Answer:
3ab
Step-by-step explanation:
Triple means multiply by 3.
The product of ab is simply ab.
Answer: 3ab
Multiply. Write the answer in simplest form.
13/18 x 6/7
Answer:
13/21
Step-by-step explanation:
Solving steps
13/18 × 6/7
Simplify the expression
13/3 × 1/7
Multiply
Solution:
13/21
Alternative Form
0.619047
The answer in simplest form 13/18 x 6/7 = 13/21
To find the answer in simplest form 13/18 x 6/7
Simplify this, multiple nominator to nominator and denominator to denominator
(13 × 6)/(18 × 7) = 78/126
Now, reduce the fraction divide by 6,
we get, 78/126 = 13/21
Therefore, the final answer is 13/21.
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A new go-cart track has opened up in your neighborhood. They charge $10 for a license and $3 for each ride . If you paid in total of $22 , how many rides did you take
Answer:
Step-by-step explanation:
4 rides
Answer:
4 rides is the answer to this question
Select all the correct locations on the figures.
Select two angles, one from each triangle, that must be congruent for the triangles to be congruent by the SAS criterion.
For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are also equal. Therefore, their corresponding angles would also be congruent.
For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.
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Answer:
as shown on the screen shot
The midpoint AB is (1,2). The coordinates of A are (-3,6) Find the coordinates of B
Can someone help me with this exercise and show me the procedure of how to do it??
========================================================
Explanation:
We have these points
A = (-3,6)M = midpoint = (1,2)B = (x,y)Focus on the x coordinates for now.
The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M
(-3+x)/2 = 1
-3+x = 2*1
-3+x = 2
x = 2+3
x = 5
Repeat for the y coordinates
(6+y)/2 = 2
6+y = 2*2
6+y = 4
y = 4-6
y = -2
Therefore, the location of point B is (5, -2)
You can use a tool like GeoGebra to check your work.
Match each business message to the best delivery method.
We are writing to thank you for providing the support we
needed to meet our delivery targets last week.
Listen up: The Big Shoe store is announcing a storewide
clearance sale!
All employees must obey these updated company Internet
usage policies.
Follow us to learn more about our scuba diving classes for
beginning and advanced divers!
letter
arrowRight
memo
arrowRight
social media
arrowRight
radio
arrowRight
Answer:
The correct pair matching each type of letter to its correct description would be as follows:
send it to favorably influence employers’ decision on hiring you - thank you letter
state how you meet the job requirements - cover letter
send 3-5 days after submitting your application or résumé - follow-up letter
express your desire to work for a particular company - letter of interest
A 'thank you' letter is a letter written to admit gratefulness for a favor that has been done. It can also be written in anticipation of a favor to be done. Hence, writing it to a potential employer after an interview is a way of trying to influence the employer's decision on hiring you.
A cover letter, as it relates to job application, is a letter written to express how one meets the requirement for a job. In it, a job seeker would state their qualifications, skills, and experience as it relates to the job they are applying for.
A follow-up letter is usually written to follow up with a situation that one expects that a response should have been given or written just to further emphasize one's interest in something. Writing a follow-up letter after submitting an application for a job is a way of reminding potential employers of one's desire to take up a job in their firm.
A letter of interest is written to show a desire to work in a particular organization or company irrespective of whether they have got a vacancy.
Step-by-step explanation:
Answer:
Step-by-step explanation:
g(n)=n+3
f(n)=-n-5
Find g(3)-f(3)
Answer:
14
Step-by-step explanation:
g(3)=(3)+3
g(3)=6
f(3)=-(3)-5
f(3)=-8
6-(-8)=14
When a three-digit number written in base 10 has its final digit moved to the beginning, the result is the same number written in base 7. find all such numbers
There is no such number that has the result is the same number written in base 7 and base 10.
Decimal and Octal numbers:
Decimal system is most familiar number system to the general public. It is base 10 which has only 10 symbols − 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
Whereas octal system is one of the number systems to represent numbers. It is base 8 which has only 8 symbols − 0, 1, 2, 3, 4, 5, 6, and 7.
Given,
When a three-digit number written in base 10 has its final digit moved to the beginning, the result is the same number written in base 7.
Here we need to find all such numbers.
Let abc be the starting number, where the catenated letters represent digits, and not factors like in the product
=> a x b x c
And each of a,b, and c can be elements of the list,
=> {1,2,3,4,5,6,7,8,9,0}
Except a≠0.
Since abc is a base-10 numeral, we can also write it as
=> 10²a + 10¹b + 10⁰c
Which can be expanded as,
=> 100a + 10b + c ----------------------(1)
Moving the last digits to the first slot makes the new number,
=> 100c + 10a + b------------------------(2)
So, here the value c≠0.
We know that, the digits in the base-10 numeral cab are identical to those of the base-7 numeral that is written as cab₇.
In the equation form it is equal to,
=> 7²c + 7¹a + 7⁰b
=> 49c + 7a + b ---------------------(3)
but since we're working in base 7 now, the digits a,b, and c cannot exceed 6.
Now, we want to solve for a, b, and c such that
By equalizing the equations 2 and 3,
=> 100c + 10a + b = 49c + 7a + b
=> 100c + 10a + b - 49c - 7a - b
=> (100 - 49)c + (10 - 7)a
=> 51c + 3a
=> 3 (17c + a)
Both a and c must be positive, but this equation has solution,
=> a = -17c
So there are no positive integers solutions, and hence no such number.
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in need of some help! rewrite the expression -6x^4y^3z^-7 so that there are no negative exponents
Answer:
[tex]-\frac{6x^4y^3}{z^7}[/tex]
Step-by-step explanation:
[tex]=-6x^4y^3\frac{1}{z^7}[/tex] <- Apply the exponent rule.
[tex]=-\frac{6x^4y^3\cdot \:1}{z^7}[/tex] <- Apply the fraction rule.
[tex]=-\frac{6x^4y^3}{z^7}[/tex]
Mr. Sullivan's employer withheld $19,342.19 in federal income tax. After completing his return, Elsner has determined that his tax is $23,945.22. Will he get a refund, or does he owe the IRS and how much? Use a negative number to represent a refund and a positive amount to represent additional taxes owed. Round to the nearest penny.
HHe will owe the IRS and the amount is $4603.03
In this question, we have been given Mr. Sullivan's employer withheld $19,342.19 in federal income tax.
Elsner has determined that his tax is $23,945.22
We need to find whether he get a refund, or he owes the IRS.
From given information,
Employer withheld in federal taxes last year = $19,342.19
His tax amount is $23,945.22
So by considering the above information, the he owes the additional taxes because the tax amount i.e., $23,945.22 is more than the withheld amount i.e., $19,342.19
So, the additional taxes would be,
$23,945.22 - $19,342.19 = $4603.03
This difference represent the additional taxes owed.
Therefore, he will owe the IRS and the amount is $4603.03
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IM GIVING 100 PTS TO WHOEVER ANSWERS THE FASTEST
Jayden went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 650 mg of sodium. Jayden purchased a total of 13 cans of soup and frozen dinners which collectively contain 4400 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;
c + f = 13
200c + 650f = 4400
where; c is the number of cans of soup and f is the number of frozen dinners.
How to create a system of equations?Let us denote c as the number of cans of soup and f is the number of frozen dinners.
The total number of items is 13 and so, we can write;
c + f = 13
The total amount of sodium is 4400 mg. Each can of soup has 200 mg, and each frozen dinner has 650 mg.
200c + 650f = 4400
We can use substitution or elimination to solve the equation for c and f but we are not asked to find it. Thus, we will conclude that;
A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;
c + f = 13
200c + 650f = 4400
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Answer:
Step-by-step explanation:
11970658976
The maximum of a function is the highest point on a graph (identified as an ordered pair). For the function below, what is the x-value of its maximum.
For the graphed parabola we can see that the maximum is at (3, 2), then the x-value is x = 3.
What is the x-value of the maximum?For a function f(x), we define the maximum as a value y = f(x₀), such that:
f(x₀) ≥ f(x) for every value in the domain.
In the case of the graph is really easy to identify the maximum, in this case, it is in the vertex of the parabola.
We can see that the maximum is on the point (3, 2)
Then it is at x = 3, y = 2, from that, we can see that the x-value of the graphed function is x = 3.
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what is the reference angle for 202 degrees
Answer: 22 degrees
Step-by-step explanation:
Since the angle 180° is in the third quadrant, subtract 180° from 202°.
What is the answer for this question
The values for the net change and average change is given as-
7. Net change = 2 , Average change = 2/3.
8. Net change = -2, Average change = -1/2.
9. Net change = -4, Average change = 4/5.
10. Net change = 4, Average change = 2/3.
What is defined as the net change and the average change?Given two points on the graph of f(x), (a,f(a)) and (b,f(b)), the net change would be the contrast between the different f(x) values.
So, net change is estimated by f(b)−f(a).The ratio of the net change to a change between the 2 input values is equal to the average net change and average rate of change. Taking the same two points, the following formula can be used to calculate the average rate of change: [f(b)−f(a)]/(b - a)In other words, the average rate of change is the slope of the line connecting any two points.Part 7:
The points on x axis are;
a = 1 and b = 4
f(b) = f(4) = 5
f(a) = f(1) = 3
Thus, net change is; f(b)−f(a)
= f(4) - f(1)
= 5 - 3
net change = 2
The average change;
= [f(b)−f(a)]/(b - a)
= [f(4) - f(1)]/(4 - 1)
net change = 2/3.
Part 8:
The points on x axis are;
a = 1 and b = 5
f(b) = f(5) = 2
f(a) = f(1) = 4
Thus, net change is; f(b)−f(a)
= f(5) - f(1)
= 2 - 4
net change = -2
The average change;
= [f(b)−f(a)]/(b - a)
= [f(5) - f(1)]/(5 - 1)
net change = -2/4 = -1/2
Part 9:
The points on x axis are;
a = 0 and b = 5
f(b) = f(5) = 2
f(a) = f(0) = 6
Thus, net change is; f(b)−f(a)
= f(5) - f(0)
= 2 - 6
net change = -4
The average change;
= [f(b)−f(a)]/(b - a)
= [f(5) - f(0)]/(0 - 5)
net change = -4/-5 = 4/5
Part 10:
The points on x axis are;
a = -1 and b = 5
f(b) = f(5) = 4
f(a) = f(-1) = 0
Thus, net change is; f(b)−f(a)
= f(5) - f(-1)
= 4 - 0
net change = 4
The average change;
= [f(b)−f(a)]/(b - a)
= [f(5) - f(-1)]/(5 + 1)
net change = 4/6 = 2/3
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Your friend eats 25 strawberries less than 5 times the
amount of strawberries you do. If you eat 10 strawberries,
find out how much your friend eats?
Answer:
25
Step-by-step explanation:
The required amount of strawberries eaten by the friend is given as 25 strawberries.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
What is 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,
Let the number of strawberries he eat be x,
According to the question,
Strawberries that his friend eat = 5x - 25
Put x = 10
Strawberries that his friend eat = 50 - 25 = 25
Thus, the required amount of strawberries eaten by the friend is given as 25 strawberries.
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Revision 1. Find the value of the variable that makes these number sentences true: a) h+8=19 b) 2p-6=4 c) y = 12 2. Substitute the value for x in order to find the value of y in the following: a) y=3x+2 ifx=8 b) y=4x-1 ifx=! c) y=0,2x+5 ifx=10 d) y = 10x+12 if x=0,3 3. Write the following as number sentences: a) The difference between two numbers is 25 b) The product of 5 and p is equal to the quotient of q and 2 c) The difference between 14 and 2y is equal to 6 d) The product of 15 and 4 is equal to four less than the sum of x and y. that represent these word problems.
1. The values which the given number sentences true are:
a) 11 b) 5 c) 36
2. After substituting the value of x we get the value for y as :
a) 6 b) 0 c) 7 d) 15
3. The number sentences are :
a) x ₋ y = 25
b) 5 × p = q ÷ 2
c) 2y ₋ 14 = 6
d) 15 × 4 = 4 ₋ (x₊y)
Given in the first bit we need to find the variables:
a) h ₊ 8 = 19
arrange the constants on one side.
h = 19 ₋ 8
h = 11
b) 2p ₋ 6 = 4
arrange the constants on one side.
2p = 4 ₊ 6
2p = 10
p = 10/2
p = 5
c) 1/3 y = 12
cross multiply.
y = 36
Now in the second exercise we are asked to substitute the x value and get the value of y.
a) y = 3x ₊ 2 if x =8
substitute x value in the equation.
y = 3(8) ₊ 2
y = 24 ₊ 2
y = 26
b) y = 4x ₋ 1 if x = 1/4
y = 4(1/4) ₋ 1
y = 1 ₋ 1
y = 0
c) y = 0.2x ₊ 5 if x = 10
y = 0.2(10) ₊ 5
y = 2 ₊ 5
y = 7
d) y = 10x ₊ 12 if x = 0.3
y = 10(0.3) ₊ 12
y = 3 ₊ 12
y = 15
In the last third bit we need to frame equations for the given word problems.
a) The difference between two numbers is 25.
let the two numbers be x and y.
x ₋ y = 25.
b) The product of 5 and p is equal to quotient of q and 2.
5 × p = q ÷ 2
c) The difference between 14 and 2y is equal to 6.
2y ₋ 14 = 6
d) The product of 15 and 4 is equal to four less than the sum of x and y.
15 × 4 = 4 ₋ (x₊y)
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what is the lcm of 12,27,30
Answer:
The least common multiple of 12, 27 and 30 is 540.
Please mark as brainliest
2r−2p= n solve for p. has to be answered such as n-2r line under (division) equals p.
The solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.
According to the given question.
We have a linear equation in two variables 2r - 2p = n.
Here we have to solve the given linear equation 2r - 2p = n in two variables for p.
So, the solution of the equation 2r - 2p = n for p is given by
2r - 2p = n
⇒ 2(r - p) = n (taking 2 as a common)
⇒ r - p = n/2 (dividing both the sides by 2)
⇒ r - n/2 - p = 0 (subtracting n/2 from both the sides)
⇒ r - n/2 = p (adding p both the sides)
⇒ p = r -n/2
Hence, the solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.
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Keenan got 13 /25 for his Mathematics Test write this as a decimal fraction
Answer: Answer is 0.52
Step-by-step explanation:
So we have the fraction 13 Out of 25.
step 1: here we divide numerator(which is 13) by denominator(which is 25).
step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.
ie. [tex]\frac{13 * 4}{25 * 4}[/tex]
step 3: we get [tex]\frac{52}{100}[/tex]
step 4: now we can easily write the decimal fraction. ie. 0.52
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use the diagram to find bc.
Answer:
BC = 12
Step-by-step explanation:
from the diagram
AB + BC = AC , that is
18 + BC = 30 ( subtract 18 from both sides )
BC = 12
How will this looks like
Answer:
Step-by-step explanation:
Need help before 10:30
Answer: I will really try to get answers just wait
Step-by-step explanation:
In a standard normal distribution the probability of z being less than or equal zero is?
In a standard normal distribution the probability of z being less than or equal zero is 0.5.
What is standard normal distribution?The standard normal distribution, also known as the z-distribution, is a type of normal distribution with a mean of zero and a standard deviation of one.
Some key features regarding the standard normal distribution are-
Any normal distribution's values can be standardized by converting them to z-scores. Z-scores indicate how so many standard deviations each value is from the mean.Transforming a normal distribution to a z-distribution enables you to compute the likelihood of specific values occurring and compare various sets of data.Every normal distribution is a stretched or squeezed version of the standard normal distribution that has been moved horizontally right or left.The mean determines the center of the curve. Increasing the mean shifts the curve to the right, whereas decreasing it shifts the curve to the left.The standard deviation either stretches or compresses the curve.Now, as per the given question;
The mean of a standard normal distribution is 0.
Because this distribution is symmetric, the median is also equal to 0.
So, P ( z ≤ 0 ) = P ( z ≤ median ) = 0.5
Therefore, the standard normal distribution the probability of z being less than or equal zero is 0.5.
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5 divided by 555.25
4x+2(x+6)=36 ummm.....what?
Answer:
x = 4
Step-by-step explanation:
4x + 2(x + 6) = 36
4x + 2x + 12 = 36
6x = 36 - 12
6x = 24
x = 24
6
x = 4
Your hourly wage is $10.05 per hr when you work during the day and $12.01 per hr when you work the night shift .what is your gross pay for one week if you worked 24 hrs at night and 16 hrs during the day.
The gross income over the whole week upon working during the day and at night is; $449.04.
What is the gross pay for one week if you worked 24 hrs at night and 16 hrs during the day?Since, the pay rates during the day and night according to the task content are; $10.05 per hour and $12.01 per hr respectively.
It then means that the total gross total income can be calculated as follows;
(10.05 × 16) + (12.01 × 24)
= 160.8 + 288.24
= $449.04.
Therefore, the gross income over the whole week upon working during the day and at night is; $449.04.
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(solve each system by graphing. Check your solution) questions 11 and 13
Answer: 10. (2,4) 11. (4,9) 13. (2,-2) 14. (1,2)
Step-by-step explanation:
Just plugged em into desmos & double checked
Answer: 11. (4,0) 13. (2,-2)
Step-by-step explanation:
11.
[tex]\displaystyle\\\left \{ {{y=\frac{1}{2} x+7 } \atop {y=\frac{3}{2}x+3 }} \right. \\\\y=\frac{1}{2}x+7[/tex]
x | 0 | 4 |
y | 7 | 9 |
[tex]\displaystyle\\y=\frac{3}{2}x+3\\[/tex]
x | 0 | 2 |
y | 3 | 6 |
13.
[tex]\displaystyle\\\left \{ {{y=x-4} \atop {y=-x}} \right. \\\\y=x-4[/tex]
x | 0 | 4 |
y | -4 | 0 |
[tex]y=-x[/tex]
x | 0 | 4 |
y | 0 | -4 |
Find the indicated measure
I will give brainliest to the right answer with solution
Answer:
∠ N = 10° , arc RS = 134°
Step-by-step explanation:
the measure of an inscribed angle is half the measure of its intercepted arc.
(5)
∠ N is an inscribed angle and we require arc LM
the measure of the arcs in a circle = 360°
note LN is the diameter so arc LN = 180°
Then
LM + MN + LN = 360°
LM + 160° + 180° = 360°
LM + 340° = 360° ( subtract 340° from both sides )
LM = 20°
then
∠ N = [tex]\frac{1}{2}[/tex] LM = [tex]\frac{1}{2}[/tex] × 20° = 10°
(6)
∠ Q is an inscribed angle so its intercepted arc is twice its measure
arc RS = 2 × 67° = 134°
Please answer this !!!!!! will give brainliest !on first down, the vultures lost 6 yd. on second down, they lost 5yd. on third down, they lost 8 yd. use an integer to express their overall change in position as a result of the three plays.
As per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.
As given,
Let x be the total number of yards in the beginning
First down they lost 5 yards, second 6 yd and third 8 yd.
Required equation,
x-5-6-8
= x-19
Negative sign represent the lost of 19 yads.
Therefore, as per given condition first they lost 5yd , second lost 6yd , third lost 8 yd ,so change in position shows lost 19 yd.
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