Answer:
A = 28 in²
Step-by-step explanation:
Equation for the area of a parallelogram: A = b * h
Plug in: A = 7 in * 4 in
Solve: A = 28 in²
Answer:
its 28
Step-by-step explanation:
A firm determines its profit by subtracting from .
Answer:
A firm determines its profit by subtracting "Total Cost" from "Total Revenue".
Step-by-step explanation:
Given statement is "A firm determines its profit by subtracting _____ from ______. Now we need to fill the blanks with suitable words.
We know that there are some initial costs associated with production of any product. So to get the profit, we need to subtract the cost that that is spent during production of the product from total sales.
Hence final answer can be written as:
A firm determines its profit by subtracting "Total Cost" from "Total Revenue".
which of the following is the result of using the remainder theorem to find F(-1) for the polynomial function F(x) = -x^3+6x^2-4x+11?
Answer:
d). 22
Step-by-step explanation:
add the -1 for x then solve
Find the diameter and radius when given the circumference.
C = 62.8
Well, just looking at this problem we know 3 formulas that will help us. Firstly we have C (The Circumference) is Equal to 2π Times the Radius, r.
In Equation form that looks something like this:
C=2πr
We also know that the radius is half of the diameter, r=D/2 or D=2r
So, if C=62.8, then 62.8=2πr must also be true.
By doing some quick re arranging we get to the equation r=62.8/2π
This equation gives us 9.99, Which is essentially 10.
Now that we know that r=10, we can find that diameter, D=2r, is Equal to 20.
Therefore, your answers are
Radius = 10
Diameter = 20
Circumference = 62.8 (Given)
If there are any questions about anything I did please feel free to ask more questions and I will respond ASAP!
What are some equivalent fractions for 2/5 ?
To solve this all you need to do is take the fraction 2/5 and multiply it by a number (this means you multiply BOTH the denominator and the numerator)
1. Multiply the original fraction by 2:
[tex]\frac{2*2}{5*2} = \frac{4}{10}[/tex]
2. Multiply the original fraction by 3:
[tex]\frac{2*3}{5*3} = \frac{6}{15}[/tex]
3. Multiply the original fraction by 4:
[tex]\frac{2*4}{5*4} = \frac{8}{20}[/tex]
4. Multiply the original fraction by 5:
[tex]\frac{2*5}{5*5} = \frac{10}{25}[/tex]
5. Multiply the original fraction by 6:
[tex]\frac{2*6}{5*6} = \frac{12}{30}[/tex]
All of the fractions above are equal to 2/5 and to each other. You can keep doing this with higher numbers if you wold like, but these are just a few examples.
Hope this helped!
Hello There!
Some equivalent fractions of 2/5 are:
2/5 = 4/10 = 6/15 = 8/20 = 10/25 = 12/30 = 14/35 = 16/40 = 18/45 = 20/50 = 22/55 = 24/60 = 26/65 = 28/70 = 30/75 = 32/80 = 34/85 = 36/90 = 38/95 = 40/100 = 42/105
Equivalent fractions are fractions that equal each other, but they look different from each other. These fractions are represented differently.
The graph shows two lines, A and B.
Part A: How many solutions does the pair of equations for lines A and B have?
Part B: What is the solution to the equations of lines A and B?
part a: 1
part b: (3,5)
The 8 students in Mrs. Alexander's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered: 13, 4, 15, 4, 16, 15, 3, 3 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
To find the mean just add all of them then divide the result by 8. To find the median put the numbers in order. So 3, 3, 4, 4, 13, 15, 15, 16 then find the middle number, if there is not middle number (which there isn’t) add the two middle numbers (4 and 13) to get 17 then divide 17 by 2 to get 8.5 which is the median
Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan will be $19,450, and Dahlia will make monthly payments. Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly, and assesses a service charge of $925.00. Bank Q offers a ten-year loan with an interest rate of 5.5%, compounded monthly, and assesses a service charge of $690.85. Which loan will have the greater total finance charge, and how much greater will it be? Round all dollar values to the nearest cent.
It is computed that loan Q's finance charge will be $83.73 greater than loan P's.
How to compute the loan?From the information, the payment for bank P will be:
= (0.058/12)(19450) / [1 - (1 + 0.058/12)^108
= 231.59
The future value will be:
= 231.59 × 12 × 9
= 25011.72
The finance charge for P will be:
= (25011.72 - 19450) + 925
= 6846.72
The payment for Q is 211.08. The future value will be:
= 211.08 × 12 × 10
= 25329.60
The finance charge for Q will be:
= (25329.60 - 19450) + 690.85
= 6570.45.
The difference will now be:
= 6570.45 - 6846.72
= $83.73
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Answer:
A
Step-by-step explanation:
Got it right
The independent variable of a data set is x,while the dependent variable is y.which of these is a response variable
Answer:
Dependent variable is a response variable
Step-by-step explanation:
Search up definition for response variable and it literally saids it's another word for dependent variable haha
Answer: Y
Step-by-step explanation:
A p e x
Using the equation y = 2/3 x - 5, describe how to create a system of linear equations with an infinite number of solutions.
Answer:
To have an infinite number of solutions, the equations must graph the same line. That means the equations must be equivalent. To form an equivalent equation, use the properties of equality to rewrite the given equation in a different form. Add, subtract, multiply, or divide both sides of the equation by the same amount.
A system of two linear equations in two variables has an infinite number of solutions if the slope and y-intercept of the two lines is same.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that the equation is,
y = 2/3 x - 5
If the slope and y-intercept of the two lines are the same, a system of two linear equations in two variables has an infinite number of solutions.
The equations must graph the same line if there are infinitely many solutions. Therefore, the equations must be equal. The above equation may be rewritten in a different way using the equality principles to create an equivalent equation. Both sides of the equation should be increased, decreased, multiplied, or divided by the same quantity.
Thus, system of two linear equations in two variables has an infinite number of solutions if the slope and y-intercept of the two lines is same.
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Help pls
52 is 65% of what?
45% of 40 is what number?
Let, that number = x
It would be: x * 0.65 = 52
x = 52 / 0.65
x = 80
So, that number and your answer is 80
18 is 45% of 40
45%/100 = 0.45
0.45*40=18
A teacher is told he will have 20 students in his first-period class this year. He wants to predict the birthday month of his students, so he decides to run a simulation where January = 1, February = 2, etc. Use the simulated results to estimate the probability that a randomly picked student will have a September birthday.
9 6 5 8 9 2 4 10 9 7 2 10 12 6 9 2 9 11 1 3
Answer:
[tex]P = 0.25[/tex]
Step-by-step explanation:
The simulation shows a result composed of 20 data.
If January represents month 1 and February represents month 2 then September is represented by number 9.
According to this simulation, the probability of a randomly selected student having birthdays in September is:
[tex]P = \frac{X_9}{20}[/tex]
Where [tex]X_9[/tex] is the frequency of 9. That is, [tex]X_9[/tex] is the number of times the number 9 appears among the 20 data
Therefore:
[tex]P = \frac{5}{20}[/tex]
[tex]P = \frac{1}{4}[/tex]
[tex]P = 0.25[/tex]
Answer:
0.25
Step-by-step explanation:
gradpoint
Which expression is equal to the length of the hypotenuse of a right triangle, formed inside the unit circle, with a radius of 1?
The length of the hypotenuse of a right triangle formed inside the unit circle with a radius of 1 is simply 1.
The expression equal to the length of the hypotenuse of a right triangle formed inside the unit circle, with a radius of 1, can be found using the Pythagorean theorem. In a unit circle, the hypotenuse of any right triangle formed by a radius will always have a length of 1, because the radius of a unit circle is 1 by definition. So, the expression you are looking for is simply 1, since the hypotenuse in this case is the radius of the circle.
Dolores bought 3 tapes that cost $4.95 each. the tax on her purchase was %6. What was her total bill
Answer:15.741
Step-by-step explanation: 4.95*3= 14.85, 14.85* 0.06= 0.891+14.85=15.741
Hope it helped!
A chef wanted to know if people liked the food in his new restaurant. For that purpose, he surveyed all the food critics who went to the restaurant during the first month it was open.
A. Is this sample likely to be biased?
B. Explain
Answer and explanation:
A) Yes, the sample gathered by surveying food critics only is most likely to be biased.
B) If the chef is going to survey only the food critics and not include the regular customers who visit the restaurant then this will result in a biased survey.
The reason being that there will exist a systematic error since the surveyed people will not cover the whole population as it will only be limited to the food critics.
A rectangle has an area of 112cm. The length and width of the rectangle are changed by a scale factor of 1.5. What is the area of the new rectangle?
Answer:
252 cm²
Step-by-step explanation:
Area of a rectangle is width times length:
A = WL
If the width and length increase by a factor of 1.5:
A = (1.5 W) (1.5 L)
A = 2.25 WL
So the area increases by a factor of 2.25.
2.25 × 112 cm² = 252 cm²
Solve for m. 5m=35 a. -175 b. -40 c. -30 d. 7
Answer:
m = 7Step-by-step explanation:
[tex]5m=35\qquad\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup^1m}{5\!\!\!\!\diagup_1}=\dfrac{35\!\!\!\!\!\diagup^7}{5\!\!\!\!\diagup_1}\\\\\boxed{m=7}[/tex]
Solve -8a + 3a = -9a + 2x - 4 for a in terms of x.
The answer is X= 2a+2
Answer:
a = 1/2x - 1
Step-by-step explanation:
-8a + 3a = -9a + 2x - 4
-8a + 3a + 9a = 2x - 4
4a = 2x - 4
a = (2x - 4) ÷ 4
a = 1/2x - 1
Tameca already has a $55 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account.
To find out how many weeks Tameca needs to save to have at least $100, we create an inequality, 5w + 55 >= 100, where 'w' represents the number of weeks. Solving this inequality gives w >= 9. Therefore, Tameca needs to save for at least 9 weeks.
Explanation:The subject of this problem is linear inequalities, which falls under Mathematics. To solve this problem, let's denote the number of weeks that Tameca needs to save money as 'w'. Since she already has $55 and is saving $5 each week, the inequality that represents this situation is 55 + 5w >= 100.
In order to solve this inequality, we need to isolate 'w'. You can do this by subtracting 55 from both sides of the inequality to get 5w >= 45. Then, divide both sides by 5 to get w >= 9.
Therefore, Tameca must save for at least 9 weeks in order to have a minimum of $100 in her savings account.
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John drew a right triangle with sides 6 inches , 8inches , and 10 inches long what is the area of the triangle ?
Answer:
24 in²
Step-by-step explanation:
The easy way:
The two legs, or shorter sides, of a right triangle form that triangle's base and height. Knowing that the area of a triangle is [tex]\frac{bh}{2}[/tex] (where b is the base and h is the height), we can use the 6 inch leg for the base and the 8 inch leg for the height to find an area of [tex]\frac{6(8)}{2}=\frac{48}{2}=24[/tex] in².
The harder but more general way
There's a nice formula for calculating the area of any triangle given its side lengths found by this Greek guy named Heron, and it's appropriately called Heron's formula:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)[/tex]
a, b, and c are the lengths of triangle, and s here is half the triangle's perimeter (also called the semi-perimeter), or mathematically:
[tex]s=\frac{a+b+c}{2}[/tex]
For our problem, let's pick a = 6, b = 8, and c = 10. This would give us
[tex]s=\frac{6+8+10}{2} =\frac{24}{2}=12[/tex]
Substituting that s back into Heron's formula, we get
[tex]A=\sqrt{12(12-6)(12-8)(12-10)}=\sqrt{12(6)(4)(2)}\\=\sqrt{72(8)}=\sqrt{576}=24[/tex]
So our area is 24 in²
Quiana took out a loan to pay for a new car. Initially, she owed the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net change to the loan from Quiana’s perspective over the past 5 months?
Complete the steps below to help Quiana calculate the loan amount that she’s repaid to the lender.
Part A
Write a rational number to express the initial loan amount as it relates to Quiana’s bank account.
Answer:
$13,997.53
Step-by-step explanation:
The simplest, minimally acceptable answer would stem from multiplying by 5 the $247.43 monthly payment and subtracting the result from the amount initially owed:
$15,234.68
-$ 1,237.15
----------------
$13,997.53
To calculate the net change to the loan from Quiana's perspective over the past 5 months, subtract the total amount she has repaid from the initial loan amount. In this case, the net change is $13,997.53.
Explanation:The amount owed to the lender = $15,234.68
Amount repaid = $247.43
Time = 5 months
To calculate the net change to the loan from Quiana's perspective over the past 5 months, we need to subtract the total amount she has repaid from the initial loan amount.
Since she repaid $247.43 each month for 5 months, the total amount repaid is $247.43 x 5 = $1237.15.
To find the net change to the loan, we subtract the total amount repaid from the initial loan amount:
= $15,234.68 - $1237.15
= $13,997.53.
Several thousand teens were asked one question, "What do you think are the chances you will be married in the next ten years?" The two-way table shows the responses separated by gender.
The percent of females among the respondents was
A) 2625
B) 4877
C) about 46%
D) about 54%
Hello There! Your answer is D) about 54%.
To find your answer, start by adding together all of the totals for each gender.
Female: 119 + 150 + 447 + 735 + 1174 = 2625
Male: 103 + 171 + 512 + 710 + 756 = 2252
Total: 2625 + 2252 = 4877
The question is asking what percentage of the respondents was female. So, we are finding what precent of 4877 is equal to 2625. To do this, divide 2625 by 4877 and multiply what you get by 100.
2625 divided by 4877 = 0.53824072175 x 100 = 53.824072175%.
Out of the answer choices provided, D) about 54% is correct since 53.824072175% is very close to 54%.
I hope this helps, have a great day!
Answer:
D
Step-by-step explanation:
In total, there were 4877 respondents, among which 2625 of them were female. The percent of female respondents, therefore, would be
2625
4877
x 100 = 53.8% ~ 54%
Is the quotient of (-5) ÷ (-7) a rational number
Yes it is. 5\7 is a fraction, therefore it is rational; it can be written as a decimal, 0.714285...... [bar notation indication].
Answer: The quotient of (-5)÷(-7) is a rational number
Step-by-step explanation:
It is asked that the quotient of (-5) / (-7) is a rational number ?
Rational Number : A rational number is a number which can be expressed in the form p/q
We multiply the numerator and denominator of the fraction by -1
[tex]\frac{(-5)(-1)}{(-7)(-1)}[/tex]
=[tex]\frac{5}{7}[/tex]
i.e. the number can be expressed in the form p/q where p=5 and q=7
So the quotient is a rational number
COLOUT OLU
Instructions: Type the correct answer in each box. Use numerals instead of words.
Simplify the following polynomial expression.
(-9x² + 2x + 13) - (-7x2 + 3x + 6).
The simplified form of the given polynomial equation is:
[tex]-2x^2-x+7[/tex]
Step-by-step explanation:We are asked to simplify the given polynomial expression in terms of the variable x.
The algebraic expression is given as:
[tex](-9x^2+2x+13)-(-7x^2+3x+6)[/tex]
On taking out the terms from both the brackets the sign of the terms of the second bracket gets interchanged as there is a negative sign preceding it.
Hence, we get the expression as:
[tex]=-9x^2+2x+13+7x^2-3x-6\\[/tex]
Now on combining the like terms we get:
[tex]=-9x^2+7x^2+2x-3x+13-6\\\\\\=-2x^2-x+7[/tex]
The coordinate shows points a through k. Which points are solutions to the system of inequalities listed below?
2x+y<10
2x-4y>8
Answer choices:
E,F,G,H,J
E,F,G
A,C,D,K
A,E,F
Answer:
E,F and G
Step-by-step explanation:
we have
2x+y < 10 ---> inequality A
The solution of the inequality A is the shaded area below the dashed line
2x+y=10
Find the intercepts of the dashed line to plot the inequality A in the graph
The x-intercept is the point (5,0)
The y-intercept is the point (0,10)
2x-4y >8 ----> inequality B
The solution of the inequality B is the shaded area below the dashed line 2x-4y=8
Find the intercepts of the dashed line to plot the inequality B in the graph
The x-intercept is the point (4,0)
The y-intercept is the point (0,-2)
The solution of the system of inequalities the shaded area
see the attached figure
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution of the system
In this problem the solutions are E,F and G
What is the definition of present value?
A.
the future value of a current sum of money
B.
the current value of a future sum of money
C.
the interest paid on a future sum of money
D. the interest paid on a current sum of money
The current value of a future sum of money. The Present Value allows us to calculate what is the value of today that has an amount of money that we will not receive right now but later, in the future.
Present value seeks to reflect that it is always better to have an amount of money today than to receive it in the future. In fact, if we have the money today we can do something to make it productive, such as investing in a company, buying shares or leaving it in the bank that pays us interest, among other options. In addition, even if we do not have a certain plan to invest the money we can simply spend it to satisfy our tastes and we do not have to wait to receive the money in the future.
Answer:
A) The current value of a future sum of money
Step-by-step explanation:
on plato
If G(x)= 1/x were shifted 4 units up, what would the new equation be ?
Answer:
G(x) + 4 = 1/x + 4Step-by-step explanation:
f(x) + n - move the graph n units up
f(x) - n - move the graph n units down
f(x + n) - move the graph n units to the left
f(x - n) - move the graph n units to the right
--------------------------------------------------------------------------
G(x) = 1/x shifted 4 units up → G(x) + 4 = 1/x + 4
Answer: G(x)= 1/(x+4) +4
Step-by-step explanation:
What is the surface area of a rectangle box that measures 1/4 meter by 0.36 meters by 2.8 meters
Answer:
The surface area is [tex]SA=3.596\ m^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the box is equal to
[tex]SA=2[LW]+2(L+W)H[/tex]
Let
[tex]L=1/4=0.25\ m[/tex]
[tex]W=0.36\ m[/tex]
[tex]H=2.8\ m[/tex]
substitute the values
[tex]SA=2[0.25*0.36]+2(0.25+0.36)(2.8)[/tex]
[tex]SA=0.18+3.416[/tex]
[tex]SA=3.596\ m^{2}[/tex]
Sasha shared 20 muesli bars with three friends.
She gave Hannah two bars fewer than Noah.
She gave Kyle three bars more than Hannah.
Sasha ended up having twice as many bars as Hannah.
How many muesli bars did Sasha have in the end?
Answer: Sasha has 20 bars to start of with. Let's assume Sasha keeps 6 bars for herself. The problem says Sasha has twice as many bars as Hanna, so Hanna HAS to have 3 bars. The problem says Kyle got 3 more bars than Hanna, so 3+3=6, and Hannah got 2 less bars than Noah.. Noah has to have bars because 5-3=2
Sasha 6, Kyle 6, Noah 5, Hanna 3= 6+6+5+3=20
Step-by-step explanation:
Final answer:
Using equations based on the relationship between the number of muesli bars each person has, we determine that Sasha ended up with 6 muesli bars.
Explanation:
The subject of this question is mathematics, specifically it involves solving a word problem by setting up equations based on the given relationships among the quantities. Let's find out how many muesli bars Sasha had in the end.
Let's denote the number of muesli bars Sasha, Hannah, Noah, and Kyle have as S, H, N, and K respectively. The problem gives us the following relationships:
H = N - 2 (Hannah has two fewer bars than Noah)
K = H + 3 (Kyle has three more bars than Hannah)
S = 2H (Sasha has twice as many bars as Hannah)
Since there are 20 muesli bars in total, we can write the equation:
S + H + N + K = 20
Substituting the relationships into the equation we get:
2H + H + (H + 2) + (H + 3) = 20
Combining like terms, we have:
5H + 5 = 20
Subtracting 5 from both sides, we get:
5H = 15
Dividing both sides by 5, we find H:
H = 3
Now, we can find S:
S = 2H = 2(3) = 6
So, Sasha had 6 muesli bars in the end.
PLEASE HELP 50 POINTS WILL MARK BRAINLIEST. find the value of x rounded to the nearest tenth.
For this case we must find the value of "x", by trigonometric relations.
The tangent of an angle is given by the leg opposite the angle on the leg adjacent to the same angle.
[tex]tg (25) = \frac {10} {x}\\x = \frac {10} {tg (25)}\\x = \frac {10} {0.46630766}\\x = 21.4450691202[/tex]
Rounding:
[tex]x = 21.4[/tex]
Answer:
21.4
Answer:
x = 21.44506921
Step-by-step explanation:
Trigonometry
We need to find x or the adjacent
We are given the Opposite ( 10 )
We don't need the hypotenuse
So we use our formula triangles
TOA SOH CAH
Since we don't need the hypotenuse, we look for a formula without ' H ' in it and it is TOA so we use it
Tan = Opposite ÷ Adjacent
We need to find the adjacent so we rearrange the formula into
Adjacent = Opposite ÷ Tan
Adjacent = 10 ÷ tan(25)
Adjacent = 21.44506921
PLEASE HELP RIGHT AWAY
Answer:
Approximately 53
Step-by-step explanation:
This is a geometric progression, because each term is found by multiplying the previous one by a constant factor.
In our case, the first term is know (a1 = 3), and the growth factor is also known (q = 1.333333).
What we are tasked to do is to find the 11th (n=11) term of the series, since it asks for AFTER the 10th roll.. That's easy with the base formula:
[tex]a_{n} = a_{1} q^{n-1}[/tex]
Let's place the values we have in the equation and solve it:
[tex]a_{10} = 3 * (1.333333)^{11-1} = 3 * (17.758) = 53.3[/tex]
So, after the 10th roll, you should need 53 dice, approximately.