Solve for x in : 0=6300x + 70x=
Answers
Given the equation:
\(0=6300x+70\)We will find the value of (x)
First, subtract 70 from both sides
\(\begin{gathered} 0-70=6300x+70-70 \\ -70=6300x \end{gathered}\)Second, divide both sides by (6300) then simplify
\(\begin{gathered} -\frac{70}{6300}=\frac{6300x}{6300} \\ \\ -\frac{1}{90}=x \\ \\ x=-\frac{1}{90} \end{gathered}\)So, the answer will be x = -1/90
Related Questions
write the equation of th eline that is parallel to x=8 and that passes through the point (-3,-2)
Answers
In order to find the parallel line, it has to have the same slope. Different b value (mx+b, but the m has to be the same).
Since the question is asking for a parallel line, you know that it also has to be vertical, to keep it consistent.
Since it is asking for the line that passes through (-3, -2), you are looking at the x value which is -3, therefore x=-3
Brett made a scale drawing of a rectangular room in his house.
The actual length of the room is 12 4/5 ft. The scale used to make the
drawing was 1/4 in. = 1 ft. What is the length, in inches, of the room
on the drawing?
Answers
Answer:
Step-by-step explanation:
Length of the room = 12 4/5 ft = 12.8 ft
Scale is 0.25 inches = 1 ft.
This means that every 1ft is shown as 1/4 inch on the map.
To find what 12 4/5ft on the map, you would multiply 12.8 by 0.25.
12.8 x 0.25 = 3.2 inches
Graph the number on the number line. Then use your number line to find the
absolute value.
Answers
Answer: 9
Step-by-step explanation:
The opposite of -9 is 9.
Zack is 7 years old than lacy. Ronnie is 23.Jane is 15 years younger than Ronnie and 16 years younger than Lacey.how old is lacey
Answers
23-15=8
Jane is 8 years old
ANSWER-If to Ronnie she’s 15 years younger but to Lacey she’s 16 years younger that means Lacey would be 24
24-16=8
And Zack being 7 years older is 31
Info given—
Zack is 7 years older
Jane is 15 years younger ( than Ronnie)
16 years younger than Lacey
Ronnie is 23
Given the sequence an =an-1 + 6 where a1 = -13, find the next 4 terms of the sequence. Use commas to separate the terms.
Answers
The required first five terms in the sequence are -13, -7, -1, 5, and 11.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
Given the sequence aₙ = a₍ₙ₋₁₎ + 6 where a₁ = -13,
To determine the next 4 terms of the sequence
The second term a₂ = a₍₂₋₁₎ + 6 = a₁ - 6 = -13 + 6 = -7
The third term a₃ = a₍₃₋₁₎ + 6 = a₂+ 6 = -7+ 6 = -1
The fourth term a₄ = a₍₄₋₁₎ + 6 = a₃+ 6 = -1 + 6 = 5
The fifth term a₅ = a₍₅₋₁₎ + 6 = a₄ + 6 = 5 + 6 = 11
Therefore, the required first five terms in the sequence are -13, -7, -1, 5, and 11.
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two parallel lines are cut by a transversal what is the measure of 7
Answers
Answer:
57
Step-by-step explanation:
since angle 3 is 57 (180-123=57) and 3 and 7 are corresponding, and corresponding angles are congruent,angle 7=57
Answer:
angle 1 and angle 7=180°[co exterior angle]
123°+ <7=180°
<7=180°-123°
<7=57°
i need help plz ok plz
Answers
Explanation: 0.48 x 3 = 1.44
0.73 x 4 = 2.92
1.44 + 2.92 = 4.36
Solve the following quadratic inequality x^2+x-6>0
Answers
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
I WILL MARK BRAINIEST
Answers
Answer:
Angle X=30°
2x=60°
Step-by-step explanation:
X+2X=90°
3x=90°
X=90/3
X=30°
Angle X=30°
2x=60°
The measure of an interior angle of a regular polygon is 120°. What is the measure of each exterior angle? The polygon has how many sides?
Answers
Answer:
60°, arms 6
Step-by-step explanation:
let the total arms = n
total generated angles in a regular polygon is = (n-2)×180
now,
(n-2)×180 = 120 n
or, 180n - 360 =120n
or, 60n = 360
or, n = 6
Given
n, find the value of x.
I think the answer is 109 but I’m not sure
Answers
Answer:
x=35 hope it helps see ☜☆☞
See attachment
Corresponding angles are on parallel lines with a transversal line
There are two pairs of corresponding angles and they are congruent (same)
A and B = 35
B and C = 35
C is a vertical angle to D and vertical angles are congruent (same) = 35
Cargo shipping, an automobile manufacturer is preparin shipment of a cars andvtrucks on a cargo ship that can carry 21,600 tons
The cars weigh 3.6 tons each and the trucks weihgt 7.5 tons each. 1. Wtite thevequation thatvrepresents the weight constraint of a shipment let be the number of cars and be the numbers of trucks.
Answers
Answer:
3.6c + 7.5t <= 21,600
Step-by-step explanation:
Let c = number of cars, and let t = number of trucks.
c cars weigh 3.6c tons, and t trucks weigh 7.5t tons.
3.6c + 7.5t <= 21,600
What is the difference?
X+5
X+1
x+ 2 x²+2x
O
O
O
O
x²+4x-1
x(x+2)
x²+4x+1
x(x+2)
4
-1(x²+x-2)
x²+6x+1
X(X+2)
Answers
Answer:
its the third one
Step-by-step explanation:
In July of 1997, Australians were asked if they thought unemployment would increase, and 47% thought that it would increase. In November of 1997, they were asked again. At that time 284 out of 631 said that they thought unemployment would increase ("Morgan gallup poll," 2013). At the 5% level, is there enough evidence to show that the proportion of Australians in November 1997 who believe unemployment would increase is less than the proportion who felt it would increase in July 1997?
Answers
Answer:
\(z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007\)
Now we can find the p value with the alternative hypothesis and using this probability:
\(p_v =P(z<-1.007)=0.157\)
Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47
Step-by-step explanation:
Information given
n=631 represent the random sample selected
X=284 represent the people who said that they thought unemployment would increase
\(\hat p=\frac{284}{631}=0.45\) estimated proportion of people who said that they thought unemployment would increase
\(p_o=0.47\) is the value that we want to test
\(\alpha=0.05\) represent the significance level
z would represent the statistic
\(p_v{/tex} represent the p value
System of hypothesis
We want to verify if the proportion of Australians in November 1997 who believe unemployment would increase is less than the proportion who felt it would increase in July 1997 (0.47), then the system of hypothesis are:
Null hypothesis:\(p\geq 0.47\)
Alternative hypothesis:\(p < 0.47\)
The statistic would be given by:
\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)
Replacing the info given we got:
\(z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007\)
Now we can find the p value with the alternative hypothesis and using this probability:
\(p_v =P(z<-1.007)=0.157\)
Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47
Sandro would like to retire at age 60 with an income of $1500 per month from his
retirement savings. If he is to receive these payments until he is 90 years old, what
amount would he need in his retirement savings account at age 60, if the account
earns 4.5% compounded monthly?
Answers
The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.
How the present value is computed:The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.
End of withdrawal period = 90 years old
Beginning of withdrawal period = 60 years old
The number of years between 60 and 90 = 30 years
N (# of periods) = 360 months (30 years x 12)
I/Y (Interest per year) = 4.5%
PMT (Periodic Payment) = $-1,500
FV (Future Value) = $0
Results:
Present Value (PV) = $296,041.74
Sum of all periodic payments = $540,000 ($1,500 x 360 months)
Total Interest = $243,958.26
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Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
Answers
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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How much should you invest in a account paying 2.5%compound quarterly, in order to have $20,000 in 15 years?
Answers
Given:
Interest rate = 2.5% compounded quarterly
Final Amount = $20,000
Time = 15 years
Let's find the amount you should invest in the account.
Here, we are to find the principal amount.
Apply the formula:
\(A=P(1+\frac{r}{n})^{nt}\)Where:
A is the final amount = $20,000
r is the rate = 2.5% = 0.025
compound frequency is n. Since it is compounded quarterly, n = 4
t is the time in years = 15 years.
Let's solve for P.
We have:
\(\begin{gathered} 20000=P(1+\frac{0.025}{4})^{4\times15} \\ \\ 20000=P(1+0.00625)^{60} \\ \\ 20000=P(1.00625)^{60} \end{gathered}\)Solving further:
\(20000=P(1.45329)\)Divide both sides by 1.45329:
\(\begin{gathered} \frac{20000}{1.45329}=\frac{P(1.45329)}{1.45329} \\ \\ 13761.87=P \\ \\ P=13761.87 \end{gathered}\)Therefore, the amount that should be invested is $13,761.87
ANSWER:
$13,761.87
The quotient of a number and 3 is less than 24
Answers
Answer:
6 is the answer
Step-by-step explanation:
Does this graph show a
function? Explain how you know.
• A.
No; there are y values that have more than one
x-value.
•
B. Yes; there are no y-values that have more than
one x-value.
• C. No; the graph fails the vertical line test.
•
D. Yes; the graph passes
the vertical line test.
Answers
Answer:
C
Step-by-step explanation:
It is fine if we have double y values, but if there are repeated x values it is not a function.
need help with the problem in the picture thank you :)
Answers
Answer:
y = 3.3x
Step-by-step explanation:
for the table we can determine that every hamburger delivery takes five minutes
you can do this by dividing 4 by 0.8 which gets you five
the pizza deliverys speed can be figured out by dividing 50 by 15
this gets you 3.33...
therefore y = 3.3x would be your answer as the pizza delivery is faster
Please help and answer A and B!
Answers
a) The value of the bulldozer at any time t should be given by the equation,
V = 140500- 5600t
b) The value of the bulldozer after 7 years is $1,01,300
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
a)To answer the problem above, we make the assumption first that the depreciation is a straight-line method in order to solve for the depreciation rate.
d = (140500 - 17300)/ 22 = 5600
The value of the bulldozer at any time t should be given by the equation,
V = 140500- 5600t
b) Substitute t=7 into the equation
V = 140500- 5600(7)
= 140500- 39200
= 1,01,300
The value of the bulldozer after 7 years is $1,01,300
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10-² =
Exponential form
Answers
Copy the base to the right side of the equality
10-^2=10
Rewrite the exponent -2 as the product of (-1) and 2
10-^2=10^(-1)x2
First, use the Power of a Power Property
10-^2=(10^(-1) ) ^2
Any number raised to the power of can be written as its reciprocal
10^-2=(1/10)^2
Next, use the Power of a Quotient Property
10^-2=1^2/10^2
1 raised to any power equals 1
10^-2=1/10^2
so the answer is 10^-2=1/10^2
Answer:
Step-by-step explanation:
the answer is 0.01
The base of the exponential form is 10 and the power is -2 therefore the answer is 0.01 if the power was 2 the answer would have been 100
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Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
Answers
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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please help. i’m on a time limit.
Answers
Answer: 161 m^2
Step-by-step explanation:
The surface area composes of 4 triangles and 1 square.
The side length of the square is 7 m, so the area is 49 m^2 because the area of a square is the side length^2.
Each of the triangles has a base of length 7 m and a height of 8 m, so the area of each triangle is 7m*8m/2 = 28 m^2 because the area of a triangle is the base*height/2.
Since there are 4 triangles, the total surface area of the 4 triangles is 28 m^2 * 4 = 112 m^2.
Adding that to the area of the square, we get 49 m^2 + 112 m^2 = 161 m^2
Write the equation of the line graphed below.
Answers
Answer:
y=2x +3
Step-by-step explanation:
The slope hits the points (-1,2) and (0,2). If you count how many units are right and up, then that's your slope. In this case, the distance between those two points are 1 right and 2 up which is the same thing as 2. The y-intercept is 3 since the slope crosses the y-axis there.
transformation of the graph of f(x)=x^3 for the graph of g(x)=-x^3
Answers
The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).
A class of 100 students contains 20 freshmen, 30 sophomores, 40 juniors, and 10 seniors. I randomly select one student. What is the conditional probability they are a sophomore, given that they're an underclassman
Answers
Answer:
There would be a 30% chance that you would select a sophomore.
Step-by-step explanation:
Since there is 100 students all together then 30 of the sophomores would be 30% of 100. So the answer is 30%
Two friends are renting a property with a monthly rent of $975.00. The total square footage is 1,225 square feet, the first bedroom is 150 square feet, and the second bedroom is 130 square feet. Determine how much the friend with the smaller bedroom will pay for rent if they split the cost based on the square footage of each bedroom. (2 points)
$479.50
$481.35
$495.50
$501.35
Answers
Answer:
(a) $479.50
Step-by-step explanation:
You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.
SplitApparently, the cost of the non-bedroom area is to be split evenly. That common area is ...
1225 ft² -(150 +130) ft² = 945 ft²
Then the proportion due from the occupant of the smaller bedroom is ...
(945/2 +130)/1225 = 241/490 ≈ 0.49184
RentThat fraction of the rent is ...
0.49184 · $975 = $479.54
The nearest answer choice is $479.50.
__
Additional comment
If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.
We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)
An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its 15th term.
Answers
Answer:
a₁₅ = 142
Step-by-step explanation:
General form of an arithmetic sequence:
\(\boxed{a_n=a+(n-1)d}\)
where:
\(a_n\) is the nth term.a is the first term.d is the common difference between terms.n is the position of the term.Given:
d = 10a₆ = 52Substitute the given values into the formula and solve for a:
\(\begin{aligned}a_n&=a+(n-1)d\\52&=a+(6-1)10\\52&=a+(5)10\\52&=a+50\\a&=52-50\\\implies a&=2\end{aligned}\)
Substitute the found value of a and the given value of d into the general formula to create an equation for the nth term:
\(\boxed{a_n=2+10(n-1)}\)
To find the 15th term, substitute n = 15 into the found equation:
\(\begin{aligned}a_n&=2+10(n-1)\\a_{15}&=2+10(15-1)\\a_{15}&=2+10(14)\\a_{15}&=2+140\\\implies a_{15}&=142\end{aligned}\)
Therefore, the 15th term of the given arithmetic sequence is 142.
Answer: a₁₅=142
Step-by-step explanation:
\(6th\ term\ is\ a_6=52\ \ \ \ \ \\a\ common \ difference\ d\ is\ 10\\to\ find\ 15th\ term\ a_{15}\\\\\boxed {a_n=a_1+d(n-1)}\\\\Hence,\\a_6=a_1+10(6-1)\\52=a_1+10(5)\\52=a_1+50\\52-50=a_1+50-50\\2=a_1\\Thus,\ a_1=2\\a_{15}=a_1+10(15-1)\\a_{15}=2+10(14)\\a_{15}=2+140\\a_{15}=142\)
Which inequality has an open circle when it is graphed on a number line?
3
42x
O xS12
O x2-6
Answers
Answer:
x > 3/5
Step-by-step explanation:
x > 3/5 has an open circle because 3/5 is not included
if it was x ≥ 3/5 then that would include 3/5 and the circle would be closed