Answers
13x-2(x+4) = 8x+1 =
13x-2x-8 = 8x+1=
11x-8 = 8x+1
-8 =-3x+1=
-9 = -3x
x = -9/-3 = 3
x = 3
Related Questions
a tree casts a 9 ft shadow at the same time that a person 6 ft tall casts a 4 ft shawdow. what is the height of the tree?
Answers
x/9=6/4
(with hights on top, and shadows on bottom)
then you need to cross multiply and divide.
4x=54
/4
x=13.5
Factor and simplify the algebraic expression.
3x^-4/3 +6x^1/3
Thanks in advance if you can help me!
Answers
[tex]\fb 3x^{-\frac{4}{3}}+6x^{\frac{1}{3}}\implies 3\cdot \cfrac{1}{x^{\frac{4}{3}}}+6x^{\frac{1}{3}}\implies \cfrac{3}{x^{\frac{4}{3}}}+6x^{\frac{1}{3}}\impliedby LCD=x^{\frac{4}{3}} \\\\\\ \cfrac{3+(6x^{\frac{1}{3}})(x^{\frac{4}{3}})}{x^{\frac{4}{3}}}\implies \cfrac{3+6x^{\frac{1}{3}+\frac{4}{3}}}{x^{\frac{4}{3}}}\implies \cfrac{3+6x^{\frac{5}{3}}}{x^{\frac{4}{3}}}\implies \cfrac{3+6\sqrt[3]{x^5}}{\sqrt[3]{x^4}}[/tex]
that'd be hmmm a kinda simplification of it, not sure if I could call it a simplified version, more like an expansion though.
Using the given zero, find one other zero of f(x). Explain the process you used to find your solution. 1-6i is a zero of f(x) = x^2-2x^3+38^2-2x+37
Answers
two similar triangles have areas of 18 and 32 find the ratio of their perimeters
Answers
[tex]\bf \cfrac{smaller}{larger}\qquad \cfrac{s^2}{s^2}=\cfrac{18}{32}\implies \left( \cfrac{s}{s} \right)^2=\cfrac{18}{32}\implies \cfrac{s}{s}=\sqrt{\cfrac{18}{32}} \\\\\\ \cfrac{s}{s}=\cfrac{\sqrt{18}}{\sqrt{32}}\implies \cfrac{s}{s}=\cfrac{\sqrt{9\cdot 2}}{\sqrt{16\cdot 2}}\implies \cfrac{s}{s}=\cfrac{\sqrt{3^2\cdot 2}}{\sqrt{4^2\cdot 2}}\implies \cfrac{s}{s}=\cfrac{3\sqrt{2}}{4\sqrt{2}} \\\\\\ \cfrac{s}{s}=\cfrac{3}{2}[/tex]
What is the simplified form of the rational expression below? 5x^2-5 over 3x^2+3x
Answers
5x² - 5/ 3x² + 3x
= 5(x+1)(x-1) all over 3x(x+1)
= 5x - 5 over 3x
I hope that helps!
The equation y = 30x + 40 represents the line of best fit showing Ted’s earnings in terms of the number of hours he works as a plumber. If x is the number of hours he works and y is Ted’s earnings, which statement describes this situation correctly? Ted’s initial charge is $30, and his hourly charge is $40. Ted’s initial charge is $40, and his hourly charge is $30. Ted does not charge an initial amount, and his hourly charge is $40. Ted does not charge an initial amount, and his hourly charge is $70.
Answers
Answer: Ted’s initial charge is $40, and his hourly charge is $30.
Step-by-step explanation:
We know that the general equation of a line in intercept form is given by :-
[tex]y=mx+c[/tex], where m is the slope of the line and c represents the y-intercept of the function.
The given function :-The equation [tex]y = 30x + 40[/tex] represents the line of best fit showing Ted’s earnings in terms of the number of hours he works as a plumber.
Here, Slope =30
The y-intercept = 40
If x is the number of hours he works and y is Ted’s earnings.
Then by comparing the general equation of line in intercept form, the initial amount charged by Ted =y-intercept = $ 40
His hourly charge = Slope = $ 30
What's the value of 4 in the number 745
Answers
4*10=40
Final answer: 40
Good luck!
What is the estimate of 2616
Answers
[tex]Tens:[/tex] [tex]2,620 [/tex]
[tex]Thousands:[/tex][tex]3,000 [/tex]
[tex]good \\ luck \\ on \\ your \\ assignment \\ \\ \\ \\ enjoy \\ your \\ day! \\ \\ \\ \\ MeIsKaitlyn[/tex]
Benjamin has $6000 invested in two accounts. One earns 8% interest per year, and the other pays 7.5% interest per year. If his total interest for the year is $472.50, how much is invested at 8%?
Answers
Solve for x
0.08x+450-0.075x=472.5
0.08x-0.075x=472.5-450
0.005x=22.5
X=22.5/0.005
X=4500 invested at 8%
Answer:
Benjamin invested $4,500 at 8%.
Step-by-step explanation:
We know that Benjamin has invested $6,000 in two different accounts.
Let account 1 earn 8% interest per year be defined as [tex]x[/tex] and account 2 earn 7.5% interest per year as [tex]y[/tex].
The sum of both accounts must be $6,000:
[tex]x+y=6,000[/tex]
We also know that at the end of the year Benjamin earned $472.50, which is the sum of the interest he earned of the amount he invested in account 1 and in account 2, with their different interest rates (in this case, it is useful for us to transform the expression of the interest rate by dividing it by 100, so that it can be simplified):
[tex](0.08x)+(0.075y)=472.5[/tex]
We need to express the [tex]y[/tex] in terms of [tex]x[/tex].
From our first expression, we know that:
[tex]y=6,000-x[/tex]
So we substitute this value in our second equation and solve it:
[tex](0.08x)+(0.075(6,000-x))=472.5[/tex]
[tex](0.08x)+((0.075*6,000)-0.075x)=472.5[/tex]
[tex](0.08x)+((0.075*6,000)-0.075x)=472.5[/tex]
[tex]0.08x+450-0.075x=472.5[/tex]
[tex]0.08x-0.075x=472.5-450[/tex]
[tex]0.005x=22.5[/tex]
[tex]x=\frac{22.5}{0.005}[/tex]
[tex]x=4,500[/tex]
This way, we know that the amount that Benjamin invested in the account that earns 8% interest per year is $4,500.
Consider the partially completed one-way anova summary table. source sum of squares degrees of freedom mean sum of squares f between 270 within 18 total 810 21 what is the sum of squares within for this anova procedure?
a. 620
b. 390
c. 540
d. 680
Answers
The one-way ANOVA or one – way analysis of variance is used to know whether there are statistically substantial dissimilarities among the averages of three or more independent sets. It compares the means between the sets that is being examined whether any of those means are statistically pointedly dissimilar from each other. If it does have a significant result, then the alternative hypothesis can be accepted and that would mean that two sets are pointedly different from each other. The sum of squares within for this ANOVA procedure is 680. The answer is letter D.
A telephone pole cast a shadow that is 37 m long find the height of the telephone pole if a statue that is 33 cm tall cast a shadow 83 cm long ?
Answers
h1/x1=h2/x2
p/37=33/83 multiply both sides by 37
p=1221/83 m
p≈14.71 m (to nearest hundredth of a centimeter)
Answer:
The height of the telephone pole is 14.711 m (Approx) .
Step-by-step explanation:
Let us assume that the height be x .
Let us assume that the shadow be y .
(As the shadow is always proportional to the height .)
Thus
[tex]x\propto y[/tex]
y = kx
Where k is the constant of proportionality .
As given
if a statue that is 33 cm tall cast a shadow 83 cm long .
y = 83 cm
x = 33 cm
Put in the equation y = kx .
83 = 33k
[tex]k = \frac{83}{33}[/tex]
As given
A telephone pole cast a shadow that is 37 m .
Let us assume that the height of the telephone pole be z .
As
1m = 100cm
37m = 3700 cm
y = 3700 cm
x = z
Put in the equation y = kx .
3700 = zk
[tex]k = \frac{3700}{z}[/tex]
Compare the value of k .
[tex]\frac{3700}{z} = \frac{83}{33}[/tex]
[tex]\frac{3700\times 33}{83} =z[/tex]
[tex]\frac{122100}{83} =z[/tex]
z = 1471.1 cm(Approx)
As
[tex]1\ cm = \frac{1}{100}\ m[/tex]
[tex]1471.1\ cm = \frac{1471.1}{100}\ m[/tex]
= 14.711 m (Approx)
Therefore the height of the telephone pole is 14.711 m (Approx) .
Reduce the following fraction: -36x^4y^4z^5/-12x^6y^3z
A. -3x^2yz^4
B. 3yz^4/1x^2
C. -9yz^5/-3x^2
D. 36yz^5/12x^2
Answers
[tex]\bf \cfrac{-36x^4y^4z^5}{-12x^6y^3z}\quad \begin{cases} 36=2\cdot 2\cdot 3\cdot 3\\ 12=2\cdot 2\cdot 3 \end{cases}\implies \cfrac{-36}{-12}\cdot \cfrac{x^4y^4z^5}{x^6y^3z^1} \\\\\\ \cfrac{\underline{-2\cdot 2\cdot 3}\cdot 3}{\underline{-2\cdot 2\cdot 3}}\cdot \cfrac{x^4y^4z^5x^{-6}y^{-3}z^{-1}}{1}\implies \cfrac{3}{1}\cdot \cfrac{x^4x^{-6}y^4y^{-3}z^5z^{-1}}{1}[/tex]
[tex]\bf \cfrac{3}{1}\cdot \cfrac{x^{4-6}y^{4-3}z^{5-1}}{1}\implies \cfrac{3}{1}\cdot\cfrac{x^{-2}y^{1}z^4}{1}\implies \cfrac{3x^{-2}yz^4}{1}\implies \cfrac{3yz^4}{x^2}[/tex]
Which equation represents the average of the x-intercepts for 4x^2-24x+20
Answers
let x1 represent first x intercept and
let x2 represent second x intercept
Formula for finding average of x intercepts is logicaly:
Avg = (x1 + x2)/2
we want to find x1 and x2
4x^2 - 24x + 20 = 0
x^2 - 6x + 5 = 0
x1 = 5
x2 = 1
Avg = 3
0.02 is 10 times 0.2
Answers
10*0.2 = 2
0.02 is actually a tenth of 0.2
When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.54 0.54 and the probability of its landing tip down (D) is 0.46 0.46. Suppose you flip two such thumbtacks, one at a time. The probability distribution for the possible outcomes of these flips is shown below. a. Find the probability of getting 0 ups, 1 up, or 2 ups when flipping two thumbtacks. b. Make a probability distribution graph of this.
Answers
P = n!/r!(n-r!) * p^(n-r) * q^r, where
n is the number of trials; in this case n=2
r is the number of times an event can happen successfully
p is the probability of that success
q is the probability of failing; note that p+q=1
The p for ups is 0.54, while q is 0.46. When r=0 ups
P = 2!/0!(2-0!) * (0.54)^(2-0) * (0.46)^0
P = 0.2916
The same thing is done to r=1 and r=2. The complete table is shown below
r P
0 0.2916
1 0.4968
2 0.2116
When you graph r against P, you will get a probability distribution graph as shown in the picture (Part B).
Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an inspection step singles out the defective units. The inspection step catches 80% of all defects. From inspection, units that are deemed to be non-defective are moved to the shipping department. If a defect is found at inspection, it is sent to the rework department. Rework fixes about 95% of the defective units. Units are directly shipped from the rework department with no further inspection taking place. What is the probability that a unit ends up in rework (in decimal form)?
Answers
To find the probability of a unit ending up in rework in an assembly line process, you calculate the probabilities at each step of the process, including station defects, inspection, and rework.
To find the probability that a unit ends up in rework, we need to consider the probability at each step:
The probability of a defective unit at any station is 0.5% or 0.005.
The inspection catches 80% of defects, so the probability of defect detection at inspection is 0.8.
For the units that are sent to rework, the rework department fixes about 95% of the defects, making the probability of a defective unit passing rework 0.05.
Calculating the probability that a unit ends up in rework:
Multiplying the probabilities at each step: 0.005 (station) * 0.2 (not caught at inspection) * 0.95 (not fixed at rework) = 0.00095. Therefore, the probability that a unit ends up in rework is 0.00095 or 0.095% in decimal form.
Who wanna help me ??
Answers
As part of Kayla's exercise program, she either runs 6 miles/day or rides her bike 10 miles/day. Her new goal is to cover a minimum distance of 200 miles, with at least 15 of the days running. She would like to determine the number of days it would take to accomplish this.
Answers
Answer:
Kayla will be able to cover the distance of 200 miles by riding bike for 11 days and by running for 15 days.
Step-by-step explanation:
Numbers of days Kayla's has to run be x
Numbers of days Kayla's has to ride bike be y
Speed while running = 6 miles/day
Distance covered by running in x days = 6miles/day × x
Speed while riding a bike = 10 mile/day
Distance covered by riding bike in y days = 10 miles/day × y
Distance desired by Kayla to cover = 200 miles
[tex]200miles=6 miles/day\times x+10 miles/day \times y[/tex]
At least 15 of the days running.Put x = 15 days in above equation:
[tex]200miles=6 miles/day\times 15 days+10 miles/day \times y[/tex]
[tex]200 miles - 90 miles=10 miles/day \times y[/tex]
[tex]\frac{110 miles}{10 miles/day}=y[/tex]
y= 11 days
Kayla will be able to cover the distance of 200 miles by riding bike for 11 days and by running for 15 days.
In a school, the probability that a student takes environmental science and geography is 0.72.The probability that a student takes technology is 0.25. What is probability that a student takes geography given that the student is taking environmental science?
Answers
If not that the only other thing I could think of would be 0.03, but it says he is already taking environmental science.
How much would $500 invested at 6% interest compounded monthly be worth after 4 years? Round your answer to the nearest cent
Answers
[tex]A = P(1+ \frac{r}{n}) ^{nt}[/tex]**
**A = amount, P = principal amount, r = rate, n = # of times interest is compunded every year, t = time(in years)
2) Plug numbers in
[tex]A = (500)(1+ \frac{0.06}{12}) ^{(12)(4)}[/tex]
3) Solve
A = 635.24458054
Hope this helped! Good Luck!
The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 is $635.24.
Compound InterestGiven Data
Principal p = $500Rate r = 6%Time t = 4 yearsA = P + I where
P (principal) = $500.00
I (interest) = $135.24
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 500.00(1 + 0.06/12)(12)(4)
A = 500.00(1 + 0.005)(48)
A = $635.24
Learn more about compount interest here:
https://brainly.com/question/24274034
Which of the numbers below are whole numbers?Check all that apply. A. 9747.25 B. 0.7832 C. 918 D. 0 E. 46245.7 F. 484.857
Answers
whole numbers: { ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ... }
so answer
C. 918
D. 0
Which fraction has a value that's equal to 7/8?
Answers
7/8 = 0.875
15/8 = 1.875
49/64 = 0.7656
56/8 = 7
21/24 = 0.875.
The fraction that has a value that corresponds with that of 7/8 is 21/24, therefore, 21/24 is the correct option.
The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 35 cubic inches when it's base area is 15 square inches and it's height is 7 inches. What is the volume of a pyramid with a base area of 36 square inches and a height of 5 inches?
Answers
Take ratios:
V2/V1 = base_area_2 * h2 / base_area_1 / h1 = 36 * 5 / 15 / 7 = 12/7,
V2 = 12/7*v1 = 12*35/7 = 60 cubic inches.
Check but it gives a round solution ...
If compact discs cost $15.89 each, how much does one compact disc cost with 6% sales tax?
Answers
6% = 0.06
if you want to know the total price including the tax
multiply 15.89 x 1.06 = 16.84
If compact discs cost $15.89 each. Then the cost of each disc after 6% sales tax will be $ 16.84.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
If compact discs cost $15.89 each.
Then the cost of each disc after 6% sales tax will be
→ 1.06 × $ 15.89
→ $ 16.84
If compact discs cost $15.89 each. Then the cost of each disc after 6% sales tax will be $ 16.84.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
Find the value of a and z: x5⋅x4=axz a = , z = Find the values of a and z: 6x20+5x20=axz a = , z = Find the value of a and z: (x5)4=axz a = , z = Find the value: x25−x25 = Find the values of a, b and z: 8x−9=abxz a = , b = , z =
Answers
To find the values of a and z, we need to solve the given equations. Without specific numerical values, we cannot determine the exact values of a and z.
Explanation:To find the values of a and z, we need to solve the given equations. Let's go through each question:
1. For the equation x^5 * x^4 = axz, we can simplify it as x^9 = axz. Since there is no specific numerical value given, we cannot find the exact values of a and z.
2. Similarly, for the equation 6x^20 + 5x^20 = axz, we can simplify it as 11x^20 = axz. Again, without a specific value for x, we cannot determine the values of a and z.
3. In the equation (x^5)^4 = axz, we can simplify it as x^20 = axz. Without numerical values, we cannot find the exact values of a and z.
4. The equation x^25 - x^25 simplifies to 0. There are no variables to solve for.
5. Lastly, for 8x - 9 = abxz, we cannot determine the values of a, b, and z without additional information.
Evaluate the expression for s = 11 and v = 8.
(s – v)2
A. 113
B. 6
C. 9
D. 57
Answers
Answer:
C. 9
Step-by-step explanation:
s=11
v=8
(11-8)²
(3)²
9
Graphs of exponential functions
For both y= 8× and y= (2/7)×, what would be the equation of the horizontal asymptote for those two?
Answers
Pat writes all the 7-digit numbers in which all the digits are different and each digit is greater than the one to its right (so the tens digit is greater than the units, the hundreds greater than the tens, and so on). For example, 9,865,320 is one of the numbers that Pat writes down.
One of Pat's numbers is chosen at random. What is the probability that the middle (thousands) digit is a 5?
Answers
(A) Solve by cases.
Because of the nature of the problem, the first digit can only begin with 6,7,8 or 9.
Case 6: 1 way
If it begins with a "6", there is only one way, namely consecutively, 6543210.
Case 7: 7 ways
If it begins with a 7, there is one way, consecutively, 7654321.
Since it finishes with a 1, a variation could be that one of the six following digits could have a gap with the previous, such as
7543210, or 7643210... There are 6 ways to do this.
total = 1+6 = 7 ways.
Case 8: 28 ways
consecutively=1 way
one digit skips 1 with previous digit=6 ways (e.g. 8654321...)
one digit skips 2 with previous digit=6 ways (e.g. 8543210,8743210...)
two digits skip 1 with previous digit=C(6,2) ways = 6*5/(2*1)=15 ways
total = 1+6+6+15 = 28 ways
Case 9: 64 ways
consecutively=1 way
one digit skips 1 with previous digit=6 ways
one digit skips 2 with previous digit=6 ways
one digit skips 3 with previous digit=6 ways
two digits skip 1 with previous digit=(6*5/(2*1))=15 ways
one digit skips 1 and one digit skips 2 with previous = 6*5=30 ways
total=1+6+6+6+15+30=64 ways
Grand total = 1+7+28+64 =120 ways.
(B) by computer program
The easiest way is to write a program and solve it to give a total of 120.
An example program could be:count:0;for x1:6 thru 9 do ( for x2:5 thru x1-1 do ( for x3:4 thru x2-1 do( for x4:3 thru x3-1 do( for x5:2 thru x4-1 do( for x6:1 thru x5-1 do( for x7:0 thru x6-1 do( count:count+1 ) ) ) ) ) ) )$print(count)$
Output shows 120 ways.
Determine the scale factor of the function f(x)=1/3root x
Answers
Here we assume
f(x)=(1/3) sqrt(x)
A scale factor is a multiplier applied to a parent function.
If the parent function is f(x), and
g(x)=a*f(x), then a is a scale factor.
Assuming the parent function is sqrt(x), and f(x)=(1/3) sqrt(x)
then the scale factor is (1/3).
[note]
if f(x) is a cube root, then write
f(x)=cube root(x), or f(x)=x^(1/3).
the exponentiation sign ^ is very useful.
Which expression is equivalent to (3b + 2r) + (4b + r)?
Answers
Since you have to distribute them. you would add 4 with 3 which is seven and 2 with a. A is a number but since you dont know, it is a one. So it would be B
Hopefully this helps!:)
Dont for get to like and rate!