Answer:
x = - 14
Step-by-step explanation:
-3x – 10 = 32 Help me I need the answer
-3x – 10 = 32
-3x = 32 + 10
-3x = 42
x = 42 :(-3)
x = - 14
-----------------
check
-3 × (-14) - 10 = 32 (remember pemdas)
42 - 10 = 32
32 = 32
the answer is good
Periodic Deposit: $? at the end of each monthRate: 7.5% compounded monthlyTime: 3 yearsFinancial Goal: $35,000O A. $2,628; $31,536 from deposits and $3,464 from interestB. $776; $27,936 from deposits and $7,064 from interestO c. $933; $33,588 from deposits and $1,412 from interestOD. $870; $31,320 from deposits and $3,680 from interest
Answer:
D. $870; $31,320 from deposits and $3,680 from interest
Explanation:
In order to calculate the monthly payment, we use the formula below:
[tex]P=\frac{A\mleft(\frac{r}{n}\mright)}{\mleft[\mleft(1+\frac{r}{n}\mright)^{nt}-1\mright]}[/tex]Given:
• The Financial Goal, A= $35,000
,• Rate = 7.5% = 0.075
,• Number of compounding period = 12 (Monthly)
,• Time, t = 3 years
Substitute into the given formula:
[tex]\begin{gathered} P=\frac{35000\mleft(\frac{0.075}{12}\mright)}{\mleft[\mleft(1+\frac{0.075}{12}\mright)^{12\times3}-1\mright]} \\ P\approx\$870 \end{gathered}[/tex]The monthly payment is $870.
[tex]\begin{gathered} \text{Total deposit}=870\times36=31,320 \\ \text{Interests}=35,000-31,320=3680 \end{gathered}[/tex]Option D is correct.
I understand the answer to simplifying it, i want a mathematical expression of the method of simplifying to know how to show my work
Answer:
This is how I would approach it
Step-by-step explanation:
Find the distance between the ordered pairs.
(w + 2, m) and (2t, c - 3) when w = 6, m = 3, t = 4
and c = 10.
The distance between the ordered pairs is 4 units
What is distance formula?
Distance formula calculates the distance between two coordinates. it calculates the straight line distance between two points. The formula can be given as [tex]distance=\sqrt{(c-a)^{2}+(d-b)^{2} }[/tex] for the coordinates (a, b) (c, d)
We are given the ordered pair (w+2,m) and (2t,c-3)
We are given the value w = 6, m = 3, t = 4 and c = 10.
Substituting the values in the pairs
We get,
(6+2,3),(2(4),10-3)
(8,3),(8,7)
We use distance formula to find the distance
[tex]d=\sqrt{(8-8)^{2} +(7-3)^{2} }\\ d=\sqrt{4^{2} }\\ d=4[/tex]
Hence the distance between the ordered pairs is 4 units.
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I need help with these asap
1) What is the equation of the line through the points (1,1), (5,4), (9,7), and (13,10)
A) y = 4/3 x + 1/3
B) y = 4/3 x - 1/3
C) y = 3/4 x + 1/4
D) y = 3/4 x - 1/4
2) Image
1st question (the image):
y= -5/4x + 3/2
how to solve:
y=mx+b
b: where the line meets the y axis
3/2 is 1.5 which matches up perfectly with the graph
m: the direction of the slope
If you look where the line matches with a point and you go down -5 and go right 4 it matches up and thats why m = -5/4
2nd question (the text):
C) y = 3/4 x + 1/4
how to solve
draw a graph (up above)
y:mx+b
to find m: rise/run
find the first point (1,1) you have to go 3 points up and 4 points right to get to the next point
(5,4) and thats why m=3/4
b: where the link hits the y axis compare the answers and the graph and find the most resonable one... which is 1/4
help please ill give brainlest !!
Answer:
-31, 9, 1, 5, 37
Step-by-step explanation:
f(x) = -2(-2)^2 + 1
f(x) = 4^2 + 1
f(x) = 8+1
f(x) = 9
f(x) = -2(0)^2 +1
f(x) = 0^2 + 1
f(x) = 0 + 1
f(x) = 1
f(x) = -2(1)^2 + 1
f(x) = -2^2 + 1
f(x) = 4+1
f(x) = 5
f(x) = -2(3)^2 + 1
f(x) = -6^2 + 1
f(x) = 36+1
f(x) = 37
3. a sociologist wishes to estimate the percentage of u.s. citizens living in poverty. what sample size should be obtained if she wishes the estimate to be within 2% points (the error) with 99% confidence if she uses the year 2000 estimate of 11.8% poverty obtained from the census?
The sample size is 1727 points for given data . Sample size is defined as the number of observations used to determine estimates for a given population. Sample size was drawn from the population .
In this question we want to find the sample size and so let's, look at the formula that is given by, the value at over 2, divided by a margin of error, whole squared times p into 1 minus p.
N= ( Z ₐ / E)² p (1-p)
In this case , Z --> Z-Score
E --> error value
P --> estimated proportion or if given standard deviations
Given that, estimate error is 2% that is margin (E) = 2% = 2/100 =0.02
Now, what we have is our confidence level and our made error, so our estimate has been given us 2 percent or confidence level is 99 percent. Now, let's get our Z values, so we use alpha(a) to find out. For alpha value 1 minus 0.99 , we get 0.01. now we are going to be 0.01 divide by 2 and get 0.005 . So, the corresponding value of Z ₀.₀₀₅ is 2.576 . The only value of p is 11.8% (year 2000 estimate ) of what is required for getting an answer
= 118/1000= 0.118
Finally, we put all these values into formula of sample size , i.e.,
N= ( 2.576 / 0.02)² (0.118 )(1- 0.118) = 1726.56 1727
Our sample size is , 1727 point.
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What is x in this equation
2(x-7)=-4
x = 5
2x - 14 = -4
2x = -10
x = 5
Answer: 5
Step-by-step explanation: First I took away the 2 on the left which was multiplying the brackets. Then because I did this I had to do the opposite to the other side. -4÷2
Then I just filled in the gaps 5-7=-2
I need to know what system of inequalities is graphed below
SOLUTION:
For inequalities, the solution to is usually where the two regions meet.
The graphs here are:
[tex]\begin{gathered} x-3y\leq6\text{ (thick lines)} \\ \text{Here, checks the graph testing points (3,-1) and (0,-2)} \\ 2x\text{ }+\text{ y }>2.\text{ (broken lines)} \\ \text{Here, the checks the graph testing points (}0,2)\text{ and (1,0)} \end{gathered}[/tex]Final answer:
The final answer here is Option (B)
Complete the following statement. Round your answer to the nearest percent
% of $700 = $1,400
Answer:
50
Step-by-step explanation:
Solution for 700 is what percent of 1400:
700:1400*100 =
(700*100):1400 =
70000:1400 = 50
Now we have: 700 is what percent of 1400 = 50
The boxplot displays the arm spans for 44 students.
Which of the following is not a true statement?
There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.
Answer:
A) there are no outliers in this distribution.
Answer:
Step-by-step explanation:
Answer there are no outlier
3y=x-6 in standard form
Answer: x-3y=6
Step-by-step explanation:
so first subtract x to get -x+3y = -6 because standford is ax+by = c
and then multiply by -1 since x has to be positive
x-3y = 6 That is your answer
10. Which of the following is equivalent to thisexpression?72.7-4Tutor
To answer this question we need to remember that:
[tex]a^ma^n=a^{m+n}[/tex]then:
[tex]\begin{gathered} 7^2\cdot7^{-4}=7^{2-4} \\ =7^{-2} \end{gathered}[/tex]now we need to remember that:
[tex]a^{-n}=\frac{1}{a^n}[/tex]hence:
[tex]7^{-2}=\frac{1}{7^2}[/tex]Therefore:
[tex]7^{-4}\cdot7^2=\frac{1}{7^2}[/tex]and the asnwer is A.
Translate this sentence into an equation.68 is the product of Diane's score and 4.Use the variable d to represent Diane's score.
68 = Diane's score x 4
Equation
68= 4d
___________________
Can you see the updates?
_________________
Diane's score
4d= 68
d= 17
Anjelah took a hike.She finished in 2 hours and 47 minutes.If she started at 10:15 A.M.,what time did she finish?
Anjelah finished at 1:02 P.M. if she started at 10:15 A.M. and she took 2 hours and 47 minutes to complete it.
According to the question,
We have the following information:
Anjelah finished in 2 hours and 47 minutes.
She started at 10:15 A.M.
Now, we know that there are 60 minutes in an hour (more to know: there are 60 seconds in a minute).
So, we will add 2 hours to 10:15 A.M.:
10:15 + 2:00
12:15 P.M.
(Note that the digits before the colon gives us time in hours and the digits after the colon gives us minutes.)
Now, we will add 47 minutes to it:
12:15 + 0:47
(Now, we know that only 45 minutes can be added to 15 minutes because then it will make an hour. So, 2 more minutes will be added to the next hour.)
So, we have the following expression:
1:02 P.M.
Hence, the time when Anjelah will finish is 1:02 P.M.
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Ruth is a costume designer for the local children's theater company. Yesterday, she sewed 1 female costume and 5 male costumes, which used 52 yards of fabric. Today, she sewed 5 female costumes and 2 male costumes, which used a total of 76 yards. How many yards of fabric does each type of costume require? yards of fabric, and every male costume requires Each female costume requires yards.
Given:
Yesterday:
1 female and 5 male = 52 yards
Today:
5 female and 2 male = 76 yards
Let's find the number of yards of fabric each type of costume requires.
Let F represent the number if yards for each female customer use.
Let M represent the number of yards each male customer uses.
From this situation, we have the system of equations:
1F + 5M = 52
5F + 2M = 76
Now, let's solve the system of equations simultaneously using substitution method.
Rewrite equation 1 for F:
F = 52 - 5M
Substitute 52 - 5M for F in equation 2:
[tex]\begin{gathered} 5F+2M=76 \\ \\ 5(52-5M)+2M=76 \\ \\ 5(52)+5(-5M)+2M=76 \\ \\ 260-25M+2M=76 \\ \\ 260-23M=76 \end{gathered}[/tex]Subtract 260 from both sides:
[tex]\begin{gathered} 260-260-23M=76-260 \\ \\ -23M=-184 \end{gathered}[/tex]Divide both sides by -23:
[tex]\begin{gathered} \frac{-23M}{-23}=\frac{-184}{-23} \\ \\ M=8 \end{gathered}[/tex]Substitute 8 for M in either of the equations:
F = 52 - 5M
F = 52 - 5(8)
F = 52 - 40
F = 12
Therefore, we have the solution:
F = 12, M = 8
Each male customer requires 8 yards while each female customer requires 12 yards.
ANSWER:
• Male customer = 8 yards
,• Female customer = 12 yards
What is the distance between 3 and 15?
The most appropriate choice for distance between numbers will be given by -
Distance between 3 and 15 is 12 units
What is distance between two numbers?
At first it is important to know about number line.
A pictorial representation of real numbers has been done along a horizontal straight line. That horizontal straight line is called number line. On a number line, all the integers has been placed at equal distance apart. In between integers, fractions, decimal numbers, rational numbers and irrational numbers can be marked. Number line can be used for addition or subtraction.
Distance between two numbers indicates how far one number is situated from other number on the number line.
Here,
Distance between 3 and 15 = 15 - 3
= 12 units
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The width of a rectangle is 5 feet, and the diagonal length of the rectangle is 12 feet. Which measurement is closest to the length of this rectangle in feet?
The measurement is closest to the length of the rectangle is √119 ft.
What is the measure of the length of the given rectangle?Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c = √( a² + b² )
Where c is the diagonal that divides the rectangle into two equal triangle, a and b are the other legs of the triangle.
Given the data in the question;
With ( First leg ) a = 5ftDiagonal c = 12ftSecond leg b = ?Plug the values into the formula and solve for b.
12ft = √( (5ft)² + b² )
Take the square of both sides
( 12ft )² = (5ft)² + b²
144ft² = 25ft² + b²
b² = 144ft² - 25ft²
b² = 119ft²
b = √( 119ft² )
b = √119 ft
Therefore, the measure of the length is √119 ft.
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What is the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3? Responses y−1=3(x+2) y plus 1 equals 3 open parenthesis x minus 2 close parenthesis y−2=3(x+1) y minus 2 equals 3 open parenthesis x plus 1 close parenthesis y+1=3(x−2) y plus 1 equals 3 open parenthesis x minus 2 close parenthesis y+2=3(x−1)
The equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5
We need to find the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3
The point slope form of a equation of a line is
y - y₁ = m(x - x₁)
y - (-2) = 3 (x - 1)
y + 2 = 3x - 3
y = 3x - 3 - 2
y = 3x - 5
Therefore the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5.
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Given the slope of a line is -2 and it passes through the point (4,-5), write the equationof the line in standard form.
Answer:
The equation of the line is;
[tex]y=-2x+3[/tex]Explanation:
Given that
the slope of a line is -2 and it passes through the point (4,-5).
Applying the slope-intercept form of equation;
[tex]y-y_1=m(x-x_1)[/tex]Substituting the values of the slope and coordinates;
[tex]\begin{gathered} y-(-5)=-2(x-4) \\ y+5=-2x+8 \\ y=-2x+8-5 \\ y=-2x+3 \end{gathered}[/tex]Therefore, the equation of the line is;
[tex]y=-2x+3[/tex]Answer:
2x + y = 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 , then
y = - 2x + c ← is the partial equation
to find c substitute (4, - 5 ) into the partial equation
- 5 = - 8 + c ⇒ c = - 5 + 8 = 3
y = - 2x + 3 ← in slope- intercept form
add 2x to both sides
2x + y = 3 ← equation in standard form
Write the expression as a monomial in standard form. -0.01a^4*(-10a^5)^3
The monomial -0.01a^4*(-10a^5)^3 as a single expression is 10a^19
How to rewrite the expression?The expression is given as
-0.01a^4*(-10a^5)^3
Evaluate the expression in the bracket
So, we have the following equation
-0.01a^4*(-10a^5)^3 = -0.01a^4 * (-1000a^15)
Next, we remove the bracket
So, we have the following equation
-0.01a^4*(-10a^5)^3 = 0.01a^4 * 1000a^15
Evaluate the products in the above equation
So, we have
-0.01a^4*(-10a^5)^3 = 10a^19
Hence, the equivalent expression is 10a^19
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There are 4,000 books in the town's library. of these, 2600 are fiction. write a percent equation that you can use to find the percentage of books that are fiction. then solve your equation.
The percent equation is = 2600/ 4000 × 100/1
The percentage of books that are fiction is 65%
What is percentage?Percentage can be described as the ratio, quotient or number that is being expressed as a fraction of 100.
It is also described as the given part or amount in every hundred.
It is expressed as a fraction with 100 as the denominator of the fraction
It is represented with the symbol "%".
Given the information ;
Total number = 4000 books
Fiction books = 2600
The percentage is represented as;
= 2600/ 4000 × 100/1
Find the ratio
= 0. 65 × 100/1
Multiply through
= 65%
Hence, the value is 65%
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What is the volume of the diagram below?
Answer: 11 units^2
Step-by-step explanation: count the blocks
5.What is the area of the triangle?Include the unit of measurein your answer.:::::
Answer: Area = 126 square inches
Explanation:
The formula for calculating the area of a triangle is expressed as
Area = 1/2 x base x height
From the information in the diagram,
base = 18
height = 14
Thus,
Area = 1/2 x 18 x 14
Area = 1/2 x 252 = 252/2
Area = 126 square inches
Please solve with an explanation
Answer:
10.8
Step-by-step explanation:
Hello!
Once, graphed, a right triangle forms, with PQ as the hypotenuse. The other two lengths are 6 and 9.
We can use the Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]
a and b are lengthsc is the hypotenuseSolve for PQ[tex]a^2 + b^2 = c^2[/tex][tex]6^2 + 9^2 = PQ^2[/tex][tex]36 + 81 = PQ^2[/tex][tex]117 = PQ^2[/tex][tex]\sqrt117 = PQ\\[/tex]10.8 = PQThe length of PQ is 10.8.
Meow meow please help me
Answer:
area of trapezium → 1/2 × Sum of parallel sides × Distance between them.
Area → 15in² {given}
B1 → 4in
B2 → 6in
15 = 1/2 × ( 4+6 ) × h
h = 15 × 2 ÷ 10
h = 3in
I hope it's helpful
Answer:
i wouldd but likee
Step-by-step explanation:
i didnt pay a single second of attention in math
The sides of an equilibrium triangle are 9.4cm,correct to the nearest milimetre. Work out the upper bound of the perimeter of this triangle.
The perimeter of the given equilateral triangle would be 28.2 cm if the sides of the triangle are 9.4 cm.
What are the upper and lower bounds of an approximation?The numerical value that is rounded up to represent the supplied value's next value serves as its upper bound.
The numerical number that is rounded off for the previous value or the predicted value of the provided value is the lower bound for the supplied value.
The sides of an equilateral triangle are 9.4 cm
The perimeter of an equilateral triangle = 3 × length of the side
The perimeter of an equilateral triangle = 3 × 9.4
The perimeter of an equilateral triangle = 28.2 cm
Hence, the perimeter of the given equilateral triangle would be 28.2 cm if the sides of the triangle are 9.4 cm.
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Line m passes through points (9, 9) and (6, 1). Line n passes through points (10, 7) and (1, 15). Are line m and line n parallel or perpendicular?
Answer:
Step-by-step explanation:
Slopes of parallel lines are the same. ( [tex]m_{1}[/tex] = [tex]m_{2}[/tex] )
Slopes of two perpendicular lines are opposite reciprocals. ( [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1 )
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~~
(9, 9)
(6, 1)
[tex]m_{m}[/tex] = [tex]\frac{1-9}{6-9}[/tex] = [tex]\frac{8}{3}[/tex]
(10, 7)
(1, 15)
[tex]m_{n}[/tex] = [tex]\frac{15-7}{1-10}[/tex] = - [tex]\frac{8}{9}[/tex]
Lines m and n neither parallel, nor perpendicular.
at an ice cream store with five flavors of ice cream (peppermint, hoarhound, chocolate malt, gingerbread, and squirrel), ice cream scoops are stored inside the ice cream containers. what is the smallest number of ice cream scoops that would need to be in use so that two of the scoops would have to be stored in the same flavor ice cream container? how many ice cream scoops must be in use if 3 of them have to be stored in the same flavor ice cream container?
ANSWER: 10 ICE-CREAM SCOOPS
There are 5 icecream flavors
For each we need 2 scoops so = 2*5 = 10 scoops
therefore ther must be 10 icecream scoops in use for five flavors.
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Kyle just graduated from college and got his first job, he has $45,000 in student loan debt, wants to buya new car, and is considering opening up a retirement account. He has a disposable income of$300/month, what would you recommend he do with this money? Why?
Problem
Kyle just graduated from college and got his first job, he has $45,000 in student loan debt, wants to buy a new car, and is considering opening up a retirement account. He has a disposable income of $300/month, what would you recommend he do with this money? Why?
Solution
For this case the best option would be put the $45000 in a bank with a compound interest
And with the earnings each month of 300$ he can put the half of this into the account and the remain to spend on other things
Venus has a mean distance from the sun of 67,240,000 miles while mars has a mean distance from the sun of 4,213,000,000 miles. how much farther is mars from the sun than venus? a. 4,145,760,000 miles b. 4,146,260,000 miles c. 4,245,760,000 miles d. 4,280,240,000 miles
The Mean distance is 4,145,760,000 miles
The correct option is (a)
Given,
The mean distance from Venus to the sun is 67,240,000 miles.
The mean distance from Mars to the sun is 4,213,000,000 miles.
Now, According to the question
Subtract the distance of Mars to the sun from Venus to the sun :
Let's Calculate the mean distance:
= 4,213,000,000 - 67,240,000
= 4,145,760,000 miles
Hence, The Mean distance is 4,145,760,000 miles.
The correct option is (a)
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