Answers
Answer:
x = 7/3 or 2.33
Step-by-step explanation:
x3 + 1 = 8
x3 = 8 - 1
x3 = 7
x = 7/3 or 2.33
HOPE THIS HELPS YOU!! :)
Answer: x = 2
Step 1.
In order to solve this non-linear equation, we need to move all the terms to the left side.
In x³ + 1 = 9...
- term 1, will be moved to the right side.
Notice that a term changes sign when it 'moves' from one side of the equation to the other.
Rewrite the equation like this: (x³ + 1) + (-1) = 9 + (-1)
Step 2.
Add x³ + 1 + (-1)
x³ + 1 + (-1) = 8
Now, x = 8.
Step 3.
In this non-linear equation, the variable needs to be isolated.
This is accomplished when both sides are exponentiated by the reciprocal of the variable's exponent, which in our example, 1/3 is equal to
Notice that since we exponentiated a simplified fraction with an odd denominator, only one solution has been created.
Rewrite the equation: [tex](x^3)^\frac{1}{3} =8^\frac{1}{3}[/tex]
Step 4.
We need to exponentiate the power.
The following rule is applied: [tex](A^B)^C=A^B^C[/tex]
According to the formula,
A = X
B = 3
C = 1/3
Rewrite the equation: [tex]x^3^\times^\frac{1}{3} =(2^3)^\frac{1}{3}[/tex]
Step 5.
We need to reduce this fraction, the 3 in x to the lowest terms.
This can be done by dividing out those factors that appear both in the numerator and in the denominator.
In our example, 3 is the common factor.
Rewrite the equation: [tex]x=2^\frac{3}{3}[/tex]
Step 6.
Lastly, we'll need to do the same thing as we did in step 5. Reduce the fraction in [tex]x=2\frac{3}{3}[/tex]. This can be done by dividing out those factors that appear both in the numerator and in the denominator.
Hence, the common factor is 3 since it occurs both in the numerator and the denominator.
Hence, x = 2.
Related Questions
find the surface area of a cylinder with a base diameter of 4 yd and a height of 4 yd . write your answer in terms of π , and be sure to include the correct unit. How do I solve this?
Answers
Answer:
Surface area of cylinder = 24π
Step-by-step explanation:
Given:
Base diameter = 4 yd
So Radius = 4 / 2 = 2 yd
Height = 4 yd
Find:
Surface area of cylinder
Computation:
Surface area of cylinder = 2πr(h+r)
Surface area of cylinder = 2π(2)(4+2)
Surface area of cylinder = 2π(2)(6)
Surface area of cylinder = 24π
Perform the indicated operation.
[tex]x + 5 / 3[/tex] -[tex]X - 3 / 2[/tex]
Answers
Answer:
[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]x + \frac{5}{3}-x - \frac{3}{2}[/tex]
Required
Solve
[tex]x + \frac{5}{3}-x - \frac{3}{2}[/tex]
Collect like terms
[tex]x + \frac{5}{3}-x - \frac{3}{2} = x -x+ \frac{5}{3} - \frac{3}{2}[/tex]
[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{5}{3} - \frac{3}{2}[/tex]
Take LCM
[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{10 -9}{6}[/tex]
[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}[/tex]
Which dilation is shown by the graph?
Answers
Answer:
D. D₂ (∆XYZ)
Step-by-step explanation:
Dₙ = (x,y) → ((n)x, (n)y)
_________________
X = (-1, 2).
Y = (2, -1).
Z = (-2, -1).
_________
Dₙ ∆XYZ:
X(-1, 2) → X'(-2, 4)
Y(2, -1) → Y'(4, -2)
Z(-2, -1) → Z'(-4, -2)
______________
-2 / -1 = 2, 4 / 2 = 2.
4 / 2 = 2, -2 / -1 = 2.
-4 / -2 = 2, -2 / -1 = 2.
_______________
D₂ = (x,y) → ((2)x, (2)y).
X(-1, 2) → ((2)(-1), (2)(2)) = X'(-2, 4)
Y(2, -1) → ((2)(2), (2)(-1)) = Y'(4, -2)
Z(-2, -1) → ((2)(-2), (2)(-1)) = Z'(-4, -2)
_________________________
Maddy's fourth grade class is going on 5 field trips. Each has a fee of $12.10. Sack lunches for each trip are an additional $2.75. Round each amount to the nearest dollar to find an estimate for the cost of all 5 trips.
Answers
Answer:
12.10+2.75=
14.85x5=
74.25 or
75
Step-by-step explanation:
hope this helps
help me please, i cant solve this
Answers
Answer:
2/5
Step-by-step explanation:
The rate of change is the slope. The equation is in slope-intercept form. So, the slope is 2/5 = rate of change
Lori has 79 stickers. This is three more
than twice as many as Beth has. How
many stickers does Beth have?
Answers
Answer:
38
Step-by-step explanation:
79-3=76
76 divided by 2 =38
| 1 point
Tonya is hiking up the Kern Canyon with her friends. They begin their hike at 150 feet below sea level and reach their destination which is
600 feet above sea level. What is the vertical distance between the two elevations?
-450 ft.
450 ft.
-750 ft.
750 ft.
Answers
Answer:
750 ft
Step-by-step explanation:
Which pair of expressions is equivalent?
2.
A
7 2 12
and
12 3
5
B
4
3
and
12
4
12
0
7
12
4 7
and
12
܀
5
4
D
2
5 2.
and
12 5
5
12
Answers
Answer:
B
Step-by-step explanation:
sorry if i am wrong
how many square metre of carpeting are needed to cover a floor that measures 8m by 5m
Answers
Answer:
40 meters squared
Step-by-step explanation:
8 * 5 = 40
What's the length of an arc with a central angle of 100° and a radius of 2 inches?
Answers
Answer:
3.49 inches
Step-by-step explanation:
circumference = 2(2)(π) = 12.56 inches
(100/360)(12.56) = 3.49 inches
A political scientist asked a group of people how they felt about two political policy statements. Each person was to respond A (agree), N (neutral), or D (disagree) to each policy statement. a. Describe the sample space; that is, list all possible response combinations to the two statements. __________________________________________ b. Assuming each response combination in part (a) is equally likely, what is the probability the person being interviewed agrees with at least one of the two policy statements
Answers
Answer:
Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD) ;
0.556
Step-by-step explanation:
Given :
Possible outcome of each policy statement = (A, N, D)
Number of statements = 2
Sample space = 3² = 9
Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD)
Probability that a person agrees with atleast one of the 2 policy statements :
Probability = required outcome / Total possible outcomes
Required outcome = (AA, AN, AD, NA, DA) = 5
HENCE, P(person agrees with atleast one of the 2 policy statements) = 5 /9 = 0.556
Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
• A. $17.50
B. $8.20
• C. $63.00
D. $68.40
Answers
Answer:
C, 63.00
Step-by-step explanation:
6*50=300
5*40=200, *5=1000
4*50=200, *10=2000
3*40=120, *25=3000
_________________
6300 cents
$63.00
{$63$}
The circumference of a circular garden is 122.46 feet. What is the diameter of the garden? Use 3.14 for pi and do not round your answer.Clude the correct unit in your answer.
Answers
Answer:
38.98
Step-by-step explanation:
d=c/pie
i dont know this is correct
Suppose a student visited 81 websites while conducting research. If 9 of the websites were "us.gov" websites, what percentage of the websites visited were NOT "us.gov" websites? Round your answer to the nearest whole percent.
Answers
Answer:
9/81 or 1/9 = .1111111111R
Step-by-step explanation:
It is that because that is the decimal and 9 goes into 9 once and 9 goes into 81 nine times
Mary has completed 8 problems of her 20 question test. How much of the test has she completed in fraction form (simplity!)
O 8/20
O 4/10
O 1/2
0 2/5
Answers
Answer:
2/5
Step-by-step explanation:
She completed 8 out of 20 so we divide 8 by 20
8/20 can be simplified if we divide both the numerator and denominator by 4
which equals 2/5
Answer:
2/5
Step-by-step explanation:
8 divided by 20 gives you .4 which is 2/5
Use the Pythagorean Theorem, a2+b2=c2 to find the length of a triangle when b = 24 feet and c = 25 feet. Round your answer to the nearest whole number.
A. 7 ft
B. 8 ft
C. 49 ft
D. 576 ft
Answers
Answer:
7
Step-by-step explanation:
What is the mode of these numbers, 4,9,3,9,3,3
Answers
Find the measure of GKH.
Answers
Answer:
50
Step-by-step explanation:
Need help with the answer please and thank you
Answers
Answer:
Median is 5
Mode is 1
Range is 8
Mean is 4.7
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and the measure of ∠c = 36°, find the measures of angles a and b.
m∠a =
°
m∠b =
°
Answers
Angle a=36 degree
a+b=180
b=180-36
b=144 degree
Angle b=144 degree
If there are 65 seats on a bus, and only 40% of the seats are filled, How many seats
are filled?
Answers
26 seats
STEP BY STEP:
40 percent of 65 is 26
I don't understand at all a really need help
Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
£
Answers
Answer:
Colin will have $1,265 after three years.
Step-by-step explanation:
First, we find the amount of interest Colin will have by using the following formula,
simple interest = principal * interest rate * time
now that we know the formula, we substitute the numbers in.
simple interest = $1,100 * 5% * 3
since the interest rate is obviously a percentage, we have to convert it into a decimal.
simple interest = $1,100 * 0.05 * 3
now that it is a decimal, we can solve this expression.
simple interest = $1,100 * 0.05 * 3
simple interest = $55 * 3 (here, we did $1,100 * 0.05 first so that it doesn't get confusing with all the numbers, it will be easier with two final numbers)
simple interest = $165
Colin has $165 simple interest but over here asks how much she will have AFTER 3 years. think about it, can you have $165 after having $1,100 in your bank AFTER 3 years? no, so we need to add the interest by the principal by using the following formula,
total amount = principal + simple interest
now, we substitute the numbers in.
total amount = principal + simple interest
total amount = $1,100 + $165
total amount = $1,265
Therefore, Colin will have $1,265 after 3 years.
5d=10d-20 please answer quickly
Answers
Answer:
D = 4
Step-by-step explanation:
None
Answer:
4
Step-by-step explanation:
Subtract 10d from both sides
5d-10d=-5d
-5d=-20
d=4
(x+2)(x-3)
(x+2)(x-3)
Answers
Answer:
x² - x - 6
Step-by-step explanation:
Given
(x + 2)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 2(x - 3) ← distribute parenthesis
= x² - 3x + 2x - 6 ← collect like terms
= x² - x - 6
Answer:
[tex]x^{2} -x-6[/tex]
it's quadratic
What do you call a wasp?
Answers
Wasp, any member of a group of insects in the order Hymenoptera, suborder Apocrita, some of which are stinging. Wasps are distinguished from the ants and bees of Apocrita by various behavioral and physical characteristics, particularly their possession of a slender, smooth body and legs with relatively few hairs.
for what value of q is in the question -13(q+4)=7q+16
Answers
Answer:
q=-3 2/5
Step-by-step explanation:
First multiply -13 with (q+4)
-13q-52=7q+16
Now you have to change the order before = the numbers with q and after = the numbers without anything
-13q-7q=52+16
Remember that when you change positions the symbol too
Then solve it
-20q=68
Now u have to divide as i do
q=68/-20
you can simplify it
q=3 8/-20
Now divide by the greater divisor in this case is 4
q=3 2/-5
And organize it
q=-3 2/5
Never forget to do q=(answer)
Hopefully it helps.
How would the following triangle be classified?
Answers
Answer:
scalene acute is the answer
A. 71
B. 88.5
C. 90.5
D. 92
Answers
Answer:
92
Step-by-step explanation:
Because 92 occurs the most and some of the numbers aren't even there.
Answer A and B. I will give a brainliest to the best answer.
It was a “scorcher.” The temperature was 102°F in the shade.
(a) The temperature was how many degrees above the
freezing point of water?
(b) The temperature was how many degrees below the
boiling point of water?
Answers
Answer:
a) 70 degrees
b) 110 degrees
Step-by-step explanation:
Freezing point of water is 32 degrees.
Boiling point of water is 212 degrees.
Hope this helped :)
I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)