Answer:
18
Step-by-step explanation:
2x-10=x+8
2x-x=8+10
x=18
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Answer:
There is 5% of the juice left.
Step-by-step explanation:
We know that originally, the container had 80 oz of orange juice, this is 100% in our case.
Then we can write a relation:
80 oz = 100%
Now there are 4 ounces left, in the same way as before, we can write this as:
4 oz = X%
We want to find X%
First, let's write our equations:
4 oz = X%
80 oz = 100%
We can take the quotient between these two equations to get:
(4oz/80oz) = (X%/100%)
We need to solve this for X%, then we get:
(4oz/80oz)*100% = X% = 5%
This means that 4 oz is 5% of the initial volume of the juice container.
Then we can conclude that there is 5% of the juice left.
the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3
The question is incomplete. The complete question is :
The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)
Solution :
Volume of the sphere, \($V=\frac{4}{3} \pi r^3$\)
Given that \($\frac{dV}{dt}= 7 \ cm^3/s $\)
V = \($\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$\)
∴ r = 1
\($\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$\)
\($7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$\)
\($\frac{dr}{dt}=\frac{7}{4 \pi}$\) cm/s
Surface area, \($A = 4 \pi r^2$\)
\($\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$\)
\($\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$\)
\($=14 \ cm^2/s $\)
Here is my question
Which statement can be used to classify this triangle as an isosceles triangle?
Angle F is a right angle.
Sides DE and EF are congruent.
Sides FD and DE are congruent.
Sides EF and FD are congruent.
Answer:
Sides EF and FD are congruent
Step-by-step explanation:
an isosceles triangle has two sides that are congruent and the two sides need to meet at then angle that is different from the other two base angles
Answer:
Sides EF and FD are congruent
A polynomial ppp is graphed. What could be the equation of ppp?
Choose 1 answer:
what is the surface area of a cheese pack?
Answer:
IS the radio² × π
Step-by-step explanation:
What is the y value of y=2x-3 and y=3x-7
Step-by-step explanation:
hope the above solution will help you
Can someone plz help me on this
Answer:
i don't know but I hope you find out good lucky
carlos invested $5400 for 6 years at 5.2% p.a. simple interest. At the end of the 6 years, he withdrew the capital and invested the interest only for another 4 years. How much interest did he receive in total over this 10 year period?
100 Points! Algebra question, only looking for an answer to B. Photo attached. Please show as much work as possible. Thank you!
Apply the fraction rule:
\(\text{a}\times\dfrac{\text{b}}{\text{c}} =\dfrac{\text{a}\times\text{b}}{\text{c}}\)
Answer:
\(\longrightarrow\boxed{\bold{\frac{\text{fx}}{\text{g}}}}\)
Plzz help and no wrong answer need to be done asap
Answer:
1/500
Step-by-step explanation:
order of operation problem who two operations inside parentheses and two ex outside ( using all add, subtract, multiply and divide)
PLEASE SHOW ALL WORK
Answer:
17 + 123 (4 - 1) + (36 / 18) 52 =
17 + 123 x 3 + 2 x 52 =
17 + 369 + 104 =
17 + 473 =
490
Step-by-step explanation:
hope this helps! i made up everything so i hope its okay!
HELP QUICK WILL GIVE BRAINLIEST
Answer:
there should be no greather less than sign
Answer:
ok here's the graph for the system of equations, so you can look at it and find the points that are in the purple shaded area
hope this helps!
(also, this is from m4th way *the 4 is an a* which is a super helpful online calc)
The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.
What does h(3.2) represent?
the height of the rock 3.2 seconds before it reaches the ground
the time it takes the rock to reach the ground, or 3.2 seconds
the time it takes the rock to reach a height of 3.2 meters
the height of the rock 3.2 seconds after it is propelled
Answer:
h(3.2) represents the height of the rock 3.2 seconds after it is propelled. Remember, h(t) represents the height of a rock t seconds after it is propelled.
Answer:
D
Step-by-step explanation:
the height of the rock 3.2 seconds before it reaches the ground
the time it takes the rock to reach the ground, or 3.2 seconds
the time it takes the rock to reach a height of 3.2 meters
the height of the rock 3.2 seconds after it is propelled
In order to estimate the difference between the average Miles per Gallon of two different models of automobiles, samples are taken, and the following information is collected. Model A Model B Sample Size 50 55 Sample Mean 32 35 Sample Variance 9 10 a) At 95% confidence develop an interval estimate for the difference between the average Miles per Gallon for the two models. b) Is there conclusive evidence to indicate that one model gets a higher MPG than the other
Answer:
At 95% confidence limits for the true difference between the average Miles per Gallon for the two models is -1.8210 to 4.1789
Yes 95 % confidence means that there's conclusive evidence to indicate that one model gets a higher MPG than the other.
Step-by-step explanation:
Model A Model B
Sample Size 50 55
Sample Mean x` 32 35
Sample Variance s² 9 10
At 95 % confidence limits are given by
x1`-x2` ± 1.96 \(\sqrt{\frac{s^{2} }{n1} +\frac{s^{2}}{n2} }\)
Putting the values
32-35 ± 1.96 \(\sqrt\frac{9}{50}+\frac{10}{55}\) ( the variance is the square of standard deviation)
-3 ± 1.96 \(\sqrt{ \frac{495+500}{2750}\)
-3 ± 1.96( 0.6015)
-3 ± 1.17896
-1.8210; 4.1789
Thus the 95% confidence limits for the true difference between the average Miles per Gallon for the two models is -1.8210 to 4.1789.
Yes 95 % confidence means that there's conclusive evidence to indicate that one model gets a higher MPG than the other.
chang knows one side of a triangle is 13 cm which set of two sides is possible for the length of the other two sides
5 cm and 8 cm
6cm and 7 cm
7cm and 2 cm
8cm and 9 cm
Answer:
i dont knowwww dhehje ejhdjeke jsienje
Answer:
8cm and 9 cm
Step-by-step explanation:
Sum of sides rule:
The sum of the two smallest sides of a triangle has to be greater than the third side.
5 cm and 8 cm
One side is 5, other 8, 5 + 8 = 13. The sum has to be greater than 13, so this is not possible.
6cm and 7 cm
6 + 7 = 13, same as above, not possible.
7cm and 2 cm
7 + 2 = 9 < 13, so not possible.
8cm and 9 cm
8 + 9 = 17 > 13, so possible, and this is the answer.
(x²+x+1)+(-2x² 3x+5)
Step one: (((x2)+x)+1)+((0-(2x23•x))+5)
Step two: Check for a perfect cube. 2.1 -2x24+x2+x+6 is not a perfect cube.
2.2 Factoring: -2x24+x2+x+6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x+6
Group 2: -2x24+x2
Pull out from each group separately :
Group 1: (x+6) • (1)
Group 2: (2x22-1) • (-x2)
The groups have no common factor and can not be added up to form a multiplication.
So the answer would be, -2 (x24) + (x2) ++ 6.
Simplify: 4x + (−6x)
Answer: -2x
Step-by-step explanation:
4x+(-6x)
When there is a + in front of an expression in a parentheses, the expression remains the same.
4x-6x
Collect like terms
-2x
help with math thanks so much:)
Answer:
4/3Step-by-step explanation:
1/2 ÷ 2/3 = 1/2 x 3/2 = 3/4 -_- so easy
Answer:
The first one is three the second is four
Step-by-step explanation:
1/2÷2/3 (do copy, dot, flop)
1/2·3/2
1·3=3
2·2=4
3/4
The two numbers in bold are the answers
Two years ago,a was valued at $24,000. This year of the car is 23,160. what is the percent decrease in value of the car
graph the function.
for the function whose graph is shown below, which is the correct formula for the function?
A. y = -x + 1
B. y = x - 1
C. y = -x - 1
D. y = x + 1
Answer:
y =x+1
Step-by-step explanation:
The y intercept is 1
The slope is positive
We go up 1 and to the right 1
y = mx+b where m is the slope and b is the y intercept
y = 1x+1
y =x+1
what is the product
for 2|-16.75|
Answer:
33.5
Step-by-step explanation:
You would make the -16.75 a positive because of the absolute volume, and multiply that by 2.
There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
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A baker sells boxes of cookies for $5 each. She has a total of 20 boxes of cookies to sell, and each box contains 12 cookies. The bakers total sales, in dollars, is a function of the number of boxes of cookies she sells, as shown by the
graph below
The baker's total sales is a function of the number of boxes of cookies she sells will be y = 5x.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A pastry specialist sells boxes of treats for $5 each. She has a sum of 20 boxes of treats to sell, and each crate contains 12 treats.
Let 'x' be the number of boxes of cookies and 'y' be the total cost. Then the equation is given as,
y = 5x
The baker's total sales is a function of the number of boxes of cookies she sells will be y = 5x.
More about the linear equation link is given below.
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I need help please I can only find 2 of these solutions
Step 1: Isolate the Sin Operator
\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)
Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable
Note that since trig functions have 2 general solutions, this will give us one of our general solutions.
\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)
x₁= 0.48
Solving for x₂
Use the period identity for Sin Functions
\(sin(x)=sin(\pi -x)\)
X in this case is arcsin(0.25)
\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)
So our two general solutions are 0.48 and 5.52
Step 3: Period
Trig Functions have periodic behavior and this function period is
\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)
So our general solutions are
0.48±12k, where k is an integer
5.52±12k, where k is an integer
Let k=1, and we get our next set of solutions:
12.48 and 17.52
So our answer is 0.48,5.52,12.48,17.52
the ratio 8:12 is equivalent to y:9. what is the value of y?
Answer:
y=8*9/12=6
Hope it helps
Have a good day
You just write the expression as-
12/9=z
8z is your answer
To find z
12/9=1.3
8 x 1.3
10.4
hope it helps
2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
For more such questions on distance
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I need help pls pls pls pls
Answer:
D. 4
Step-by-step explanation:
If he leaves the science assignments for the next day, he will spend zero hours on science assignments. This means that y is equal to 0. Plug this into the given equation and solve for x.
2x + y = 8
2x + 0 = 8
2x = 8
x = 4
Gerald can complete 4 math assignments.
what is a number repeated as a term 3 times
A number repeated as a term three times can be expressed as a sequence or as a repeated multiplication.
A number repeated as a term three times means that the same number is used three times in a row. It can be expressed as a sequence or as a repeated multiplication.
For example, if the number is 5, the expression "5, 5, 5" represents the number 5 repeated three times in a sequence. It indicates that the number 5 is repeated consecutively as three separate terms.
Alternatively, the repeated multiplication of the number can also represent the concept. In this case, "5 x 5 x 5" would be equal to 125, which means that the number 5 is multiplied by itself three times.
In both cases, the idea is that the number is used three times in succession, either as a sequence or through multiplication, resulting in a repeated representation of the number.
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Last PreCalc Question, Need help with writing piecewise functions with graphs. Giving brainliest!
The piece-wise linear functions can be written as follows:
\(f(x) = x, x \leq -2\).\(f(x) = -x - 7, -2 < x \leq 1\).\(f(x) = 2x - 9, x > 1\).What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
\(f(x) = x, x \leq -2\).
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
\(f(x) = -x - 7, -2 < x \leq 1\).
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
\(f(x) = 2x - 9, x > 1\).
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Write the equation of the line that goes through the points A(3,-2) and B(5,4)
Answer:
y = 3x - 11
Step-by-step explanation:
(3, -2) and (5, 4)
m = 4+2/5-3
m = 6/2
m = 3
y = 3x + b
4 = 3(5) + b
4 = 15 + b
b = -11
y = 3x - 11