Answer:
x = -1/2.
Step-by-step explanation:
x^2 - 4 = (x - 2)(x + 2) so if we multiply each term by x^2 -4 we get:
2 - 1(x - 2) = 3(x + 2)
2 - x + 2 = 3x + 6
2 + 2 - 6 = 3x + x
4x = -2
x = -1/2.
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
1. Multiply both sides of the equation by the LCM (x - 2)(x + 2):
[tex]\frac{2}{x^{2} -4} (x-2)(x+2)[/tex]
factor x² - 4 by rewriting it as x² - 2²
x² - 2² = (x + 2)(x - 2)
now we have;
[tex]\frac{2}{(x+2)(x-2)} (x-2)(x+2)[/tex]
cancel the common factors (x - 2)(x + 2)
= 2
-------------------------------
[tex]\frac{-1}{x+2} (x-2)(x+2)[/tex]
cross cancel the common factor (x + 2)
[tex]\frac{-1}{x-2}=-(x-2)=-x+2[/tex]
-------------------------------
[tex]\frac{3}{x-2} (x-2)(x+2)[/tex]
cross cancel the common factor (x - 2)
3(x + 2)
distribute the 3
3x + 6
-------------------------------
combining all new values, we have;
2 + (-x) + 2 = 3x + 6
-x + 4 = 3x + 6
2. Isolate x:
-x + 4-4 = 3x + 6-4
-x = 3x + 2
-x-3x = 3x-3x + 2
-4x = 2
-4x/-4 = 2/-4
x = [tex]-\frac{1}{2}[/tex]
hope this helps!
PLEASE HELP I NEED HELP I don’t get this
Answer: The first question is a corrosponding angle, which means the measure is the same. So, angle KRQ is 146°.
And QRN is 128°.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
3.1
Step-by-step explanation:
sine 70= x/4
sin= opposite/hypotenuse
Travis drew this graph to plan his rectangular garden. The points on the graph mark the four corners of the fence around the garden. What will be the length and width of the fence around the garden? Explain your answer.
The length of the rectangular garden which Travis drew on graph is equal to the large side of the rectangle made by four points and width is equal to short side.
What is the perimeter of a rectangle?The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.
P=2(l+w)
Here, (l) is the length of the rectangle and (w) is the width of the rectangle.
Travis drew a graph to plan the rectangular garden he has. The points over the graph marked are the four corners of the fence around the garden.
Now let suppose the two corner marked are with total distance of x while other two with total distance of y. Then the length will be x and width will be y.
Thus, the length of the rectangular garden which Travis drew on graph is equal to the large side of the rectangle made by four points and width is equal to short side.
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Turn 127 feet 3 3/8 inches into inches
Answer:
127 ft = 1,524 inches + 3.375
Step-by-step explanation:
127 ft = 1,524 inches + 3.375
Answer:
1527 3/8 inches
Step-by-step explanation:
since 12 inches = 1 foot
to convert feet to inches multiply the feet value (127) by 12
127 * 12 = 1524
add the rest of the in
1524 + 3 3/8 = 1527 3/8
your answer is 1527 3/8 inches
hope this helps:)
Which of the following are solutions to the equation below?
Check all that apply.
(5x- 2)2 = 10
m A. x=-2 +2
B. x = -V12
m c. x- 42
0 D. X=2 +2
E. x= v10 +2
0 F. x- 10+2
5
The provided equations are not a solution to the given equation, which is (5x - 2)2 = 10
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given a linear equation in one variable:
(5x - 2)2 = 10
Finding the solution to the above equation
5x -2 = 5
5x = 7
x = 7/5
For checking A:
x= -2+2
x = 0
Not a solution to the given equation.
For checking B:
x = -√12
Not a solution to the given equation.
For checking C:
x- 42 = 0
x = 42
Not a solution to the given equation.
For checking D:
x=2 +2 = 4
Not a solution to the given equation.
For checking E:
x= √10 +20
Not a solution to the given equation.
For checking F:
x-10 +2 = 5
x = 13
Not a solution to the given equation.
Thus, the provided equations are not a solution to the given equation, which is (5x - 2)2 = 10
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A hot dog costs $1 at the ballpark. Which equation shows the total cost, C, of n hot dogs?
⚫️n = 1c
⚫️n = 1+c
⚫️c = 1n
⚫️c = 1 + n
Answer:
C=1n
Step-by-step explanation:
So first you look for keywords, the most noticeable one is "total cost." C will be at the end of the equation.
C= ? + ?
Then, each hot dog costs $1 which means no matter how many hot dogs there will be, it will be multiplied by the cost. So, the answer is:
c=1n
solve it by using high order derivative
y=1÷(X+2)(x^2+4)
Answer:
I think it is ± 2y−2X1 −22y− 2X1−2+4=x2=x
Step-by-step explanation:
hope this helps if not let me know
What is the volume of a cone with a height of 27 inches and a radius of 11 inches?
Please help! I would like to complete this assignment as soon as possible! 50 pts!
Answer:
3419.46 in³Step-by-step explanation:
Use the volume formula
V = (1/3)πr²hGiven
r = 11 inh = 27 inπ = 3.14 (rounded)Substitute and calculate
V = (1/3)(3.14)(11²)(27) = 3419.46 in³Answer:
3421.2 in³ (nearest tenth)
Step-by-step explanation:
Volume of a cone
[tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]
where:
r is the radiush is the heightGiven:
r = 11 inh = 27 inSubstitute the given values into the formula and solve for V:
[tex]\implies \sf V=\dfrac{1}{3} \pi (11)^2(27)[/tex]
[tex]\implies \sf V=\dfrac{1}{3} \pi (121)(27)[/tex]
[tex]\implies \sf V=\dfrac{3267}{3} \pi[/tex]
[tex]\implies \sf V=1089 \pi[/tex]
[tex]\implies \sf V=3421.2\:\:in^3\:\:(nearest\:tenth)[/tex]
Somerset Corporation just completed its fiscal year ended January 31, 2021. All sales were on account and totaled 650,000 for the year. The accounts receivable balance on February 1, 2020 was 60,000 and the balance was 55,000 on January 31, 2021. What is the accounts receivable turnover ratio? Round and enter to one decimal place only.
The accounts receivable turnover ratio for the year ended January 31, 2021, for Somerset Corporation is 11.3 times.
What is the accounts receivable turnover ratio?The accounts receivable turnover ratio is a financial measurement of the effectiveness of a company to extend credits and collect debts.
The ratio, which shows the number of times per period that Somerset Corporation can collect its credit sales, can be computed as net credit sales divided by average accounts receivable.
Data and Calculations:Sales on account = $650,000
Accounts receivable balances:
February 1, 2020 = $60,000
January 31, 2021 = $55,000
Average receivable = $57,500 ($60,000 + $55,000)/2
Accounts receivable turnover ratio = Net credit sales/Average receivables
= 11.3 x ($650,000/$57,500)
Thus, the accounts receivable turnover ratio for the year ended January 31, 2021, for Somerset Corporation is 11.3 times.
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Which shows how to solve the equation -4/5 x = 80 for x in one step
Answer:
[tex] - \frac{1}{100} [/tex]
Step-by-step explanation:
[tex] - \frac{4}{5x} = 80 \\ - \frac{4}{80 } = 5x \\ x = - \frac{1}{100} [/tex]
Solve the expression below.
1 2/4 +2 1/4
[tex]1 \dfrac 24 +2 \dfrac 14\\\\=1 + \dfrac 24+ 2 + \dfrac 14\\\\=3 + \dfrac 34\\\\=3 \dfrac 34[/tex]
The diagram show a solid cube.
The cube has a mass of 16 grams.
Work out the density of the cube.
Answer:
density: 0.25 g/cm³
Explanation:
density = mass/volume
Here given:
· mass: 16 grams
· volume: side³ = 4³ = 64 cm³
Find density:
· mass/volume
· 16/64
· 0.25 g/cm³
2(8 + t)* 6 when s = 3 and t = 2.
Answer:
120
Step-by-step explanation:
Plug in variables with numbers
2(8+2)*6
2(10)*6
20*6
120
Please mark brainliest!
Marco invested $3000 into a fund that is expected to grow by 4.23% per year. How long will it take the fund to be worth $6000?
[tex]6000 = 3000(1+0.0424)^{t}[/tex]
t = 16.73 years
Step-by-step explanation:This can be solved using the "exponential growth" formula.
Steps:
A = Final Amount
S = Starting Value
r = rate
c = times in a year ( c = 1 in this equation which is why it's not shown in the actual equation )
1. [tex]A=S(1+\frac{r}{c})^{ct}[/tex] → cancel out S → [tex]\frac{A}{S} = \frac{S(1+\frac{r}{c})^{ct} }{S}[/tex]
2. [tex]\frac{A}{S} = {(1+\frac{r}{c})^{ct} }[/tex] → sperate ct from equation by logging both sides (logging a value with an exponent brings the exponent in front of log) → [tex]log(\frac{A}{S}) = ctlog(1+\frac{r}{c})[/tex]
3. [tex]log(\frac{A}{S}) = ctlog(1+\frac{r}{c})[/tex] → transfer right side log to left side along with the c value to only have t remaining → [tex]\frac{log(\frac{A}{S})}{clog(1+\frac{r}{c})} = \frac{ctlog(1+\frac{r}{c})}{clog(1+\frac{r}{c})}[/tex]
4. Solve for answer: [tex]\frac{log(\frac{A}{S})}{clog(1+\frac{r}{c})} = t[/tex]
Answer: its option D) 17 years
Step-by-step explanation: the answer is 16.7 but you round it up because thats not an option
Determine translations
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the volume of the figure.
V=____cm^3 (Round to the nearest tenth as needed.)
Answer:
V=12.6cm^3
Step-by-step explanation:
Volume of Cone Formula: [tex]V=\pi r^2\frac{h}{3}[/tex]
Given:
Radius=2, Height=3
1. Plug in your given values into the formula
[tex]V=\pi 2^2\frac{3}{3}[/tex]
2. Solve
[tex]V=\pi 2^2\frac{3}{3}\\V=\pi 4\frac{3}{3}\\V=\pi 4*1\\V=\pi 4\\V=12.5663706144[/tex]
Rounded to tenths: 12.6
Find the factor of each ff.
z²-12z+24
Answer:
sorry is i m wrong hope this will help you
Step-by-step explanation:
z²-12z+24=0
z²-6x-6z+36-12=0
z(z-6)-6(z-6)-12=0
(z-6)(z-6-12)=0
(z-6)(z-18)=0
either
z-6=0
z=6
or
z-18=0
z=18
Help me bcuz you earn points
3,045 ÷ 85
Estimate:
Quotient:
Remainder:
Answer:
[tex]85 \sqrt{(3045})35.823\\ - 2975 \\ 700 \\ - 680 \\ 200 \\ - 10 \\ 300 \\ - 255 \\ ......[/tex]
Yes or no math questions will give brainlest
Answer:
Problem 13: NO
Problem 14: YES
Step-by-step explanation:
HOPE IT HELPS YOU IN YOUR LEARNING PROCESS.
Find the area of the shape.
Either enter an exact answer in terms of it or use 3.14 for TT and enter your answer as a decimal.
Answer:
what was the answer?? I am also needing to know!
A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Probability helps us to know the chances of an event occurring. The exact probability that all three marbles are drawn will be green is 0.02198.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the bag contains 3 red marbles, 7 blue marbles and 5 green marbles, therefore, a total of 15 marbles. Therefore, the exact probability that all three marbles are drawn will be green can be written as,
[tex]\rm Probability = \dfrac{5}{15} \times \dfrac{4}{14} \times \dfrac{3}{13} = \dfrac{60}{2730} = 0.02198[/tex]
Hence, the exact probability that all three marbles are drawn will be green is 0.02198.
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Click each dot on the image to select an answer.
y
A
B
С
Stuck? Review related articles videos or use a hint
Once a month, volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.
If they pick up trash at the same rate, how many pounds of trash should the volunteers pick up this month?
pounds
69 pounds of trash I think
Answer:
6 pounds
Step-by-step explanation:
2 pounds per hour
If 15 is equal to 20% how much is 100%???
Answer:
75=100%
Step-by-step explanation:
15=20%
30=50%
75=100%
Tyler believes that an 8-sided die can be used to predict whether customers at his store will use a coupon when making their purchases, with a roll of 1 indicating a coupon and all other outcomes indicating no coupon. Today, 4 of the first 48 customers in the store used a coupon. How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die? The experimental probability is greater than the theoretical probability by more than 2%. The experimental probability is less than the theoretical probability by more than 2%. The experimental probability is greater than the theoretical probability, but within 2%. The experimental probability is less than the theoretical probability, but within 2%.
The correct answer choice is; The experimental probability is less than the theoretical probability by more than 2%.
How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die?It follows from the task content that, upon evaluation;
The experimental probability = 4/48 = 1/12.
The theoretical probability = 1/8.
On this note, it follows that the experimental probability is less than the theoretical probability by more than 2%.
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Answer:
B. The experimental probability is less than the theoretical probability by more than 2%.
Step-by-step explanation:
have a good day peep's :]
help please, this is supposed to be done with a calculator but i don’t have one
Answer:
x = {7, -1}
Step-by-step explanation:
assuming that you are to find the zeros of the equation you dont need a calculator to do this
you can set both sides to zero
(x - 7) = 0
(x + 1) = 0
and then solve for the zeros
x = {7, -1}
that is your answer
Given that 5 miles is 8 km, convert 32.7 km to miles.
help im stuck
Answer:
20.4375 miles
Step-by-step explanation:
5 miles / 8 km * 32.7 km = 20.4375 miles
( see how the units 'km' cancel out and you are left with 'miles' as your answer?)
To use the tree house as the start of the zip line, the cable needs to be
attached to the starting tree at a height 16 feet above the ground.
To meet the slope constraint, Vince wants to change the height 7 feet and
end the zip line at a height 9 feet above the ground. He claims this vertical
change meets the slope constraint.
Test Vince's claim for Tree A and Tree B. Use specific numbers from the
situation to justify or refute whether having a vertical change of 7 feet will
satisfy the slope constraint for each tree.
The minimum allowable value of slope for tree A is 0.052 and rte slope of the zip line is 0.043 in tree B.
How to calculate the slope?The horizontal distance from starting tree is 135 feet. Therefore, the slope of the zipline will be:
= 7/135 = 0.052
The horizontal distance from starting tree for tree B is 160 feet. Therefore, the slope of the zipline will be:
= 7/160
= 0.043
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find the minimum product of two numbers whose difference is 17.
what are the numbers?
A number is an arithmetic value that is used to represent a quantity and calculate it. The two numbers will be 17 and 0, so the product of the two is minimal.
What are Numbers?A number is an arithmetic value that is used to represent a quantity and calculate it. Numericals are written symbols that represent numbers, such as "3."
Given the difference between the two numbers is 17. Let the first number be zero, then the second number will be 17. Thus, the product of the two numbers will be 0, which is the minimum.
If the first number is further increased such as 1, then the other number will be 18, and the product of the two will be 18, which is greater than zero.
Hence, the two numbers will be 17 and 0, so the product of the two is minimal.
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