Answer: an=40(n-1)+70
Step-by-step explanation:
70, 110, 150, ….
Notice the terms get bigger by 40 as the sequence progresses. Hence, we can model this sequence with a linear equation. y=40(x-1)+70 where y=term value, x=term number and 70 is the first term.
y=40(x-1)+70
an=40(n-1)+70 ==> an=term value/nth term. n=term number
Mary’s backyard vegetable garden measures 20 ft by 30 ft, so its area is 20*30=600 ft 2. She decides to make it longer, as shown in the figure, so that the area increases to A=20(30+x). Which property of real numbers tells us that the new area can also be written A=600+20x?
the answer is 60020 I am not sure if it is correct
Answer:
Distributive Property
Step-by-step explanation:
Example of distributive property is: 5 (4 + 7) = 5 × 4 + 5 × 7
If x = −3 and y = −6, what is the value of 3x + 4y + 15?
A: 48
B: 35
C: −18
D: −48
Answer: -18 ==> C
Step-by-step explanation:
x = −3 and y = −6
3x + 4y + 15=
3(-3) + 4(-6) + 15=
-9 + (-24) + 15 =
-9-24+15=
-(9+24)+15=
-33+15=
-(33-15)=-18 ==> C
Answer:
c) -18
Step-by-step explanation:
Given that,
→ x = -3
→ y = -6
Let's solve the problem,
→ 3x + 4y + 15
→ (3 × -3) + (4 × -6) + 15
→ -9 - 24 + 15 = -18
Thus, the solution is -18.
5) Compare and Contrast. Which of the following jobs would be better? A job that
pays $13 a hour, or a salaried position that is paying $25,000. Explain your thinking.
Answer:
The job with a salaried position that is paying $25,000
Step-by-step explanation:
The 2nd option would be better because $13 an hour wouldn't be as much if you time it by one day. For example 13x24=$312 for just one day. But if it was more than one day, option 1 would be the best choice.
Estimate the sum of 12.15,16.85 and1.74 by rounding each number to nearest tenth
The Sum of the given numbers is 30.80.
What do we mean by the sum of numbers?When we add two or more numbers, the result or answer is known as the SUM. Addends are the numbers that are added. In the preceding example, 6 and 4 are addends, and their sum is 10. In other words, the sum of 8 and 5 equals 13, or 8 plus 5 equals 13.SUM:
12.15 + 16.85 + 1.7429 + 1.7430.74Rounding off to nearest tenth = 7 + 1 = 30.80
Therefore, the Sum of the given numbers is 30.80.
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Quadratic equation whose roots are -6 and -1 with leading coefficient is 1
The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].
Given that a Quadratic equation whose roots are -6 and -1 with leading coefficient is 1 and asked to find the equation of quadratic equation.
Quadratic equation:
The polynomial equations of degree two in one variable of form f(x) = a[tex]x^{2}[/tex] + bx + c = 0 and with a, b, c, ∈ R and a ≠0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x).
For a quadratic equation if (a,b) are roots then,
(x-a)(x-b) is the quadratic equation having roots "a" and "b"
The equation with roots -6 and -1 is
⇒(x+6)(x+1)
⇒[tex]x^{2}[/tex]+7x+6
Threfore,The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].
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Find the integers that correspond to the given description. fewer than 28 people Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. The integers greater than B. The integers less than C. The integers less than or equal to D. The integers greater than or equal to
The Integers which corresponds to the word phrase as given in the task content is; Choice B; The integers less than 28.
Inequality signsIt follows from the task content that the word phrase which is as given in the task content is to be determined.
It is noteworthy to understand the meaning of various signs as follows;
> means more.< means fewer.>= means at least.<= means at most.Hence, since the word phrase; fewer than 28 people represents integers less than 28.
Ultimately, by virtue of the inequality signs and what they represent, fewer than 28 people represents integers less than 28.
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Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually
How much interest does the account earn in the first six months?
What is the balance after six months?
Answer:
Interest = $63
Balance = $2,063
Step-by-step explanation:
Compound Interest Formula
[tex]\boxed{\sf I=P\left(1+\frac{r}{n}\right)^{nt} -P}[/tex]
where:
I = Total interest.P = Principal amount.r = Interest rate (in decimal form).n = Number of times interest is applied per year.t = Number of time periods (years) elapsed.Given:
P = $9,000r = 1.4% = 0.014n = 2 (semi-annually)t = 0.5 (half a year)Substitute the given values into the formula and solve for I:
[tex]\implies \sf I=9000\left(1+\dfrac{0.014}{2}\right)^{2 \times 0.5}-9000[/tex]
[tex]\implies \sf I=9000\left(1+0.007\right)^{1}-9000[/tex]
[tex]\implies \sf I=9000\left(1.007\right)-9000[/tex]
[tex]\implies \sf I=9063-9000[/tex]
[tex]\implies \sf I=63[/tex]
Therefore, the account earns $63 interest in the first six months.
The balance after six months is $2,063.
If the United States government raises the income taxes on thr wealthy Americans while increasing welfare payments to the poorest Americans
Increasing income taxes on the wealthy while increasing welfare payments to the poorest, will likely reduce inequality and reduce efficiency.
What is the effect of an increase in income tax?Note: The complete question is presented before answering the question as follows:
If the united states government raises the income taxes on the wealthiest Americans, while increasing welfare payments to the poorest Americans, the result will likely be.
The answer is now as follows:
An income tax is a tax that is levied against people or organizations based on their earnings.
Increasing income taxes on the wealthy while increasing welfare payments to the poorest, will redistribute wealth and reduce inequality.
However, doing so will reduce the incentive for the wealthy to work to produce more commodities which will result in a reduction in efficiency.
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Help me pls with this! :)
Answer: 48 red beads
Step-by-step explanation:
3 red beads: 1 bracelet
16 bracelets * 3 read beads/1 bracelet=
16*3/1=
16*3=48 red beads
Can someone help me please
Answer: U'=(8, 5)
V'=(7, 5)
W'=(6, 10)
Step-by-step explanation:
When rotated around the origin by 180 degrees, the triangle will have all its coordinates' x and y values negated.
U=(-8, -5) ==> U'=(8, 5)
V=(-7, -5) ==> V'=(7, 5)
U=(-6, -10) ==> W'=(6, 10)
Add 3/8+ 1/12 by using the LCM as the common denominator.What is the LCM of 8 and 12?
Enter your answer in the box.
Answer: 24
Step-by-step explanation: LCM(8, 12) = 24
12 x 2 = 24
8 x 3 = 24
I need to know
m 1=
m 2=
Answer:
angle 1 = 51
angle 2 = 39
Step-by-step explanation:
The sum of two angles is equal to 90° since they are complementary angles
angle 1 + angle 2 = 90° rewrite equation using given values
x + 38 + 3x = 90 add like terms
4x + 38 = 90 subtract 38 from both sides
4x = 52 divide both sides by 4
x = 13 now to find the measure of each angle replace x with 13
angle 1 = 51
angle 2 = 39
A cylinder with a height of 24 centimeters has a volume of 2, 713 cubic centimeters.
Which is closest to the radius of the cylinder?
A. 3 cm
B. 6 cm
O C. 18 cm
D. 36 cm
Answer:
18 cm Is the Answer To your Question
Right now, James earns an annual salary of $46,453. He is considering a job offer with an annual salary
of $51,255. What is the difference in the weekly pay for these two jobs, rounded to the nearest cent?
Answer:
$92.35
Step-by-step explanation:
Subtract 46,453 from 51,255 to get 4,802. Now divide that result by 52 to get 92.346. Round that to the nearest cent to get 92.35.
Which of the following shows 12 more than a number, written as an algebraic expression?
A: 12 − n
B: 12 + n
C: n − 12
D: 12n
Answer:
the answer is
Step-by-step explanation:
So 12 more than N would be 12 + N.
Answer:
b) 12 + n
Step-by-step explanation:
The statement is,
→ 12 more than a number.
Now equation will be,
→ 12 + n
≈ (or) n + 12
So, option (b) is correct.
Jaiden earned $84 last week. Peter earned only $12. Jaiden's earnings are how many times greater than Peter's.
Answer:
×7
Step-by-step explanation:
[tex]84 \div 12 = 7[/tex]
Give the rate in miles per hour round to the nearest tenth Rachel jogs 20 feet in three seconds
According to the formula speed = distance / time The rate in miles per hour is 4.54
If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.
Rachel jogs 20 feet in 3 seconds
then by the formula
speed = distance/time
speed = 20 feet / 3 seconds
speed = 6.666667 feet per hour
but this speed is in feet per seconds to convert the speed from feet per seconds to miles per hour we need to multiply by 0.681818,
speed = 6.66667*0.681818
speed = 4.5454 miles per hour
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Which of the following are equivalent to -5×1/4×3
The equivalent expression of the expression given as: -5 × 1/4 × 3 is -15/4
How to determine the equivalent expression?The expression is given as:
-5 × 1/4 × 3
Multiply -5 and 1/4
So, we have:
-5 × 1/4 × 3 = -5/4 × 3
Multiply -5/4 and 3
So, we have:
-5 × 1/4 × 3 = -15/4
Hence, the equivalent expression of the expression given as: -5 × 1/4 × 3 is -15/4
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ABC, if m CAD = 29°, what is m&CAB?
D
Answer:
Step-by-step explanation:
[tex]m[/tex]∠[tex]CAD[/tex]≅[tex]m[/tex]∠[tex]BAD[/tex]
and
[tex]m[/tex]∠[tex]CAB[/tex]=[tex]m[/tex]∠[tex]CAD[/tex]+[tex]m[/tex]∠[tex]BAD[/tex]
so
[tex]m[/tex]∠[tex]CAB[/tex][tex]= 29[/tex]°+[tex]29[/tex]°
[tex]m[/tex]∠[tex]CAB=58[/tex]°
Hope this helps!
Step-by-step explanation:
the graphic shows that the angle at A is split in half by the line AD (because the angles at both sides of the line are marked as equal, so the whole angle must be 2 times of one of these parts).
so, as CAD = 29°, CAB = 2×CAD = 2×29 = 58°
ZE and ZF are supplementary. The measure of ZE is 54 more than the
measure of ZF. Find the measures of each angle.
Answer:
43xgfsstib dhibfdhbkfvh
The cost of 12 oranges and 7 apples is $5.36. 8 oranges and 5 apples cost is $3.68. Find the cost of each.
Answer:
oranges €0·2б apples€0·32
Step-by-step explanation:
Answer:
apple $0.32 , orange $0.26
Step-by-step explanation:
let o and a represent the cost of an orange and apple, respectively , then
12o + 7a = 5.36 → (1)
8o + 5a = 3.68 → (2)
multiplying (1) by 8 and (2) by - 12 and adding will eliminate o
96o + 56a = 42.88 → (3)
- 96o - 60a = - 44.16 → (4)
add (3) and (4) term by term to eliminate o
0 - 4a = - 1.28
- 4a = - 1.28 ( divide both sides by - 4 )
a = 0.32
substitute a = 0.32 into either of the 2 equations and solve for o
substituting into (1)
12o + 7(0.32) = 5.36
12o + 2.24 = 5.36 ( subtract 2.24 from both sides )
12o = 3.12 ( divide both sides by 12 )
o = 0.26
the cost of an apple is $0.32 and the cost of an orange is $0.26
Figure F is a scale image of figure E as shown. Enter the scale factor applied to figure E to produce figure F.
Step-by-step explanation:
that means that there is one scale factor for all sides of the triangles.
so,
2 × f = 14
f = 14/2 = 7
and to control, this has to work also for the other given side :
3 × 7 = 21
correct.
so, the scaling factor to get from E to F is 7.
Calculate the mean 24,27,31,21,27
Answer:
26
Step-by-step explanation:
add all the numbers up 24+27+31+21+27=130
divide 130/5=26
Answer:
26
Step-by-step explanation:
Means is the same as finding the average in a data set. You add up all of the values and then divide that by the number of terms you have in the data set.
24 + 27 + 31 + 21 + 27 = 130
130 ÷ 5 = 26
Form a polynomial whose zeros and degree are given Zeros: -2, multiplicity 1; 3, multiplicity 2; degrees 3
The polynomial of 3rd degree whose zeros and degree are given as for zero of (-2), multiplicity 1 and for zero of (3), multiplicity 2 is [tex]f(x)=(x^{3}-10x^{2} -15x+18)[/tex]
As per the question statement, a 3rd degree polynomial has a zero of (-2), multiplicity 1 and another zero of (3), multiplicity 2.
We are required to determine the polynomial.
Since, (-2) is a zero of the polynomial, then [tex][x-(-2)]=(x+2)[/tex] will be a factor of the polynomial. And since for zero of (-2), multiplicity is 1, this means that the factor of (x + 2) is only multiplied once.
Similarly, as (3) is another zero of the polynomial, then [tex](x-3)[/tex] will be a factor of the polynomial. And since for zero of (3), multiplicity is 2, this means that the factor of (x - 3) will be multiplied twice, i.e., [tex](x-3)^{2}[/tex].
Therefore, our function, say, f(x) will be [tex](x+2)(x-3)^2[/tex]
[tex]or, f(x) = (x+2)(x-3)^2\\or, f(x) = (x + 2)(x^{2} +9-12x)\\or,f(x) =x^{3}+9x-12x^{2} +2x^{2} +18-24x\\ or, f(x)=x^{3}+(2x^{2}-12x^{2})+(9x-24x)+18\\or, f(x)=(x^{3}-10x^{2} -15x+18)[/tex]
Hence, our required polynomial is [tex]f(x)=(x^{3}-10x^{2} -15x+18)[/tex]
Polynomial: A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s)Degree of a Polynomial: The highest value of power of the variable of a polynomial is known as the degree of the polynomial.Zero of a Polynomial: The value of the variable for which, the polynomial or equation equates to zero, is known as Zero of the Polynomial.To learn more about Polynomials, Degrees and Zeroes, click on the link below.
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PLEASE HELP GIVING BRAINLIEST
Answer:
y=x+3
Step-by-step explanation:
What is the y intercept?
Answer:
0=y
Step-by-step explanation:
Answer: -3
Step-by-step explanation:
The y-intercept is the place where the line crosses the y-axis, the vertical line in the middle of the graph.
(x+12)+(4x-16)=6x-13
x+12+4x-16=6x-13
x+4x+12-16=6x-13
5x+12-16=6x-13 When there is a x and no number do you assume it is a 1?
5x-4=6x-13 Why did the + disappear? Was it for the (-4)
5x-4+4=6x-13+4 How do you know the 4 is supposed to be added and not subtract?
5x=6x-9 If its 13+4 why was the 4 subtracted?
5x-6x=6x-9-6x Why was the 6 subtracted and not the 9? How do you know which
one it is supposed to be?
-x=-9 Why did the -6x effect the 6x and not the 9?
-x/-1=-9/-1 How do you know you are supposed to divide with -1? Not another number? and not a positive?
x=9
The value of the variable x in the expression is 9.
How to solve for a variable in an expression?The mathematical expression is as follows:
(x+12) + (4x-16) = 6x-13
Therefore, let's open the brackets
(x+12) + (4x-16) = 6x - 13
x + 12 + 4x - 16 = 6x - 13
Combine the like terms
x + 12 + 4x - 16 = 6x - 13
x + 4x + 12 - 16 = 6x - 13
Do the arithmetic of the like terms on both sides
x + 4x + 12 - 16 = 6x - 13
5x - 4 = 6x - 13
Add 4 to both sides
5x - 4 = 6x - 13
5x - 4 + 4 = 6x - 13 + 4
5x = 6x - 9
subtract 6x from both sides
5x = 6x - 9
5x - 6x = 6x - 6x - 9
-x = -9
divide both sides by -1
Therefore,
x = 9
The value of the variable x in the expression is 9.
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please help I will give Brainly please!!!
Answer:
GPA = 3.05
Step-by-step explanation:
You want the GPA, given the course grades and associated credits for 4 courses.
Weighted averageThe GPA is the weighted average of the individual course grade points. The weights are the course credits.
The weighted average is found by multiplying grade points by course credits, adding the products for all the courses, and dividing by the total number of course credits (the total of the weights).
GPA = (3.5×5 +2.2×3 +2.9×4 +3.2×6)/(5+3+4+6) = 54.9/18
GPA = 3.05
__
Additional comment
Many calculators and all spreadsheets can calculate a weighted average for you.
Use π = 22/7 to find the circumference and area of the following circle. r = 2 1/2 cm C = ____ A = ______
Answer:
c=12.57
Step-by-step explanation:
beacuse of the radius
20. Bernadette is a bus driver for the local transit authority, and she earns a regula
hourly wage of $17.08. She receives overtime pay, at 1.5 times her regular hourly
wage, for any hours more than 40 hours that she works in a week. This week,
Bernadette will work 48 hours. What will be her weekly gross pay?
The weekly gross pay will be $2732.80.
How to calculate the gross pay?Based on the information, the extra hours that was spent will be:
= 48 - 40 = 8 hours
Therefore, the gross pay will be;
= ($17.08 × 40) + (8 × $17.08 × 1.5)
= $683.20 + $2049.6
= $2732.80
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