The domain is A)0 \(\le x \le 12\).
What is domain?
The range οf values that we are permitted tο enter intο οur functiοn is knοwn as the dοmain οf a functiοn. The x values fοr a functiοn like f make up this set (x). A functiοn's range is the cοllectiοn οf values it can take as input.
Here in the given graph ,
Y coordinate represent the height and x coordinate represent the times.
In the given function x value is maximum 12. Then the domain is between 12.
Hence the correct option is A) 0 \(\le x \le 12\).
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Evaluate each expression.
Answer:
THIS DESERVES A BRAINLIEST BECAUSE I PUT ALL OF THE ANSWERS AND THE WORK TO IT
1: 6
2: 3
3: 5
4: 1
5: 3
6: -1
7: 8
8: 4
9: 3
10: 16
Step-by-step explanation:
Use PEMDAS
1. (2x2)+2
You do 2x2 first which is 4 so then you do 4+2 which is 6
2. 6 divided by (5-3)
You do 5-3 first which is 2 then 6/2 (that's 6 divided by 2) which is 3
3. 6/6 x5
so you do 6 divided by 6 which is 1 then you get 1x5 which is 5.
4. 2-(5-4)
5-4 is 1 and 2-1 is 1
5. 2+6/6
6 divided by 6 is 1 and 2+1 is 3
6. (-6)+5 is -1
7. 1-(-7) is the same as 1+7 which is 8
8. (-3)-7 is the same as -3+7 which is the same as 7-3 which is 4
9. 5+(-2) is the same as 5-2 which is 3
10. 8-(-8) is the same as 8+8 which is 16
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Perform the following operation. Write the answer in scientific notation.
0.008/40,000
(Use the multiplication symbol in the math palette as needed.)
Answer:
8.0 × 10^-3 ÷ 4.0 × 10^4
= 2.0 × 10^-3-4
= 2.0 × 10^-7
or 0.0000002
14) Evaluate each indefinite integral. SHOW STEPS
As a result, -3/10 csc⁵-3x + C is the antiderivative of 9csc-3xcot-3x⋅ csc³-3x.
What is meant by an integral in math?In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or an added to the initial, the derivative which is the previous function (indefinite integral).
9csc-3xcot-3x ⋅ csc³-3x = 9csc⁴-6x cot-3x
Then, we can use u-substitution, with u = csc-3x and du/dx = -3csc-3xcot-3x dx, as in the previous problem. We get:
∫9csc-3xcot-3x⋅ csc³-3x dx = -3/2 ∫u⁴ du
= -3/2 × u⁵ / 5 + C
= -3/10 csc⁵-3x + C
Therefore, the antiderivative of 9csc-3xcot-3x⋅ csc³-3x is -3/10 csc⁵-3x + C.
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FOR 100 POINTS
Match each equation to a step that will help solve the equation for x.
Answer: a: divide by 3 on both sides
B: add 3 to both sides
C: multiply by -3 on both sides
D: divide by -3 on both sides
E: add 1/3 to both sides
F: subtract 3 from both sides
G: multiply by 3 on both sides
H: subtract 1/3 from both sides.
Step-by-step explanation:
the product of 6 and the total of z and 9
Answer:
6(z+9)
ANSWER: 6z+54
z=9
Step-by-step explanation:
mm, im sorry they didn't answer this yesterday
PLz look at the pic below
The sum of three consecutive integers is 147. Find the integers.
The integers are
(Use a comma to separate answers.)
(Answer quickly)
First, let's declare our variables.
x = variable 1
x + 1 = variable 2
x + 2 = variable 3
Now, let's create our expression.
x + x+1 + x+2 = 147
Let's add like terms
3x + 3 = 147
Subtract 3 from both sides
3x = 144
Divide both sides by 3
x = 48
x + 1 = 48 + 1 = 49
x + 2 = 48 + 2 = 50
Give the equation of the circle centered at the origin and passing through the point (0, 6).
The equation of circle is x² + y² = 36.
We have,
Center= (0, 0)
Passing point = (0, 6)
We know the equation of circle is
(x-h)² + (y-k)² = r²
where (h, k) be the center and r be the radius.
Now, the radius of circle is
= √(6-0)² + (0-0)²
= √36
= 6 unit
So, the equation of circle
(x-0)² + (y-0)² = 6²
x² + y² = 36
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Let P(x) = -50x+20,000x-1,5000,000 represent the profit function for manufacturing a particular model of recreational
vehicle (RV) and x represent the number of RVS produced monthly. Use a compound inequality to state the range of the
number of RVs that need to be sold each month for the company to make a profit.
O 0
100
200
none of the answer choices
O 0
O 100
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.
The profit function is given by P(x) = -50x + 20,000x - 1,500,000.
To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:
-50x + 20,000x - 1,500,000 > 0.
Combining like terms, we have:
19,950x - 1,500,000 > 0.
Now, let's solve this inequality for x:
19,950x > 1,500,000.
Dividing both sides by 19,950, we get:
x > 1,500,000 / 19,950.
Simplifying the right side, we have:
x > 75.
The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
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Write an algebraic expression for the perimeter of a rectangular garden with a width of 3 metres and a length of 2y metres. Simplify your expression, and determine the perimeter of the garden if y = 6.
Answer:
P = 2(2y+3)
P = 30
Step-by-step explanation:
P = 2 (L+W) or P = L + L + W + W
P = 2 (2y+3)
P = 4y+6
Plug in 6 for y.
P = 24+6
P = 30
Which expressions are completely factored?
Select each correct answer.
Responses
16a5−20a3=4a3(4a2−5)
16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis
12a3+8a=4(3a3+2a)
12 a cubed plus 8 a equals 4 left parenthesis 3 a cubed plus 2 a right parenthesis
30a6−24a2=3a2(10a4−8)
30 a begin power 6 end power minus 24 a squared equals 3 a squared left parenthesis 10 a begin power 4 end power minus 8 right parenthesis
24a4+18=6(4a4+3)
24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis
The expressions that are completely factored are:
16a5−20a3=4a3(4a2−5) is correct.12a3+8a=4(3a3+2a) is correct.24a4+18=6(4a4+3) is correct.Why are they considered to be correct?The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.
For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.
Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).
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Answer:
16a^5−20a^3=4a^3(4a^2−5)
and
24a^4+18=6(4a^4+3)
Step-by-step explanation:
Help please !! need it asap
Answer:
x = 61
Step-by-step explanation:
Formula:
(N {which is the number of sides in the polygon] - 2) * 180 = the sum of all the angles in the polygon.
Simply add the known angles together, subtract that from the above equation and you get the value of x.
(5 {which is N] - 2) * 180
3 * 180 = 540
82 + 121 + 129 + 147 = 479
540 - 479 = x
540 - 479 - 61
x = 61
Which answer is an equation in point-slope form for the given point and slope?
point: (-4, 1); slope: 7
Oy+1=7 (x-4)
Oy+1=7 (x+4)
Oy-1=7 (x+4)
Oy-1=7(x-4)
Answer: C y-1=7 (x+4)
Step-by-step explanation:
Point slope formula
y - y₁ = m ( x - x₁ ) Where m= slope and (x₁ , y₁) is your point
Given:
point: (-4, 1); slope: 7
plug in to formula
y - 1 = 7 (x+4)
Six friends went to a restaurant. Each friend had the same meal and a $1 discount coupon.
Including the discount, the total cost of the meals was $60. What was the cost of each meal
before the discount?
Answer:
The cost of each meal before the discount was 11.
Each friend spent $11, but using the coupon, it was $10.
Step-by-step explanation:
Including the discount, the amount was 60.
Without the discount, the amount was 66.
There were six friends, with a $1 discount coupon each.
if you were to too a dice one time what is the odds of rolling a number less than three?
Answer:
1/3 or 33.33%
Step-by-step explanation:
A regular dice has 6 sides each with a single number from 1 to 6. Therefore, there are a total of 6 possible outcomes. Out of all of these only two outcomes are actually less than three and those are the numbers 1 and 2. Meaning, that if the dice were rolled only a single time then the probability of rolling a number less than 3 would be 2/6 or 1/3 (simplified). As a percentage, this probability would be 33.33%
AB flies at 9 ft./s directly to A flower bed from its hive. The best days at the flower bed for 17 minutes, and then flies directly back to the hive at 6 ft./s. It is away from the hive for a total of 20 minutes. A. What equation can you use to find the distance of the flowerbed from the hive. B. How far is the flowerbed from the hive
In a pack of 36 trading cards, 1/4 of them are fire animals, 1/6 of them are water, animals, and the rest of them are grass animals, how many more cards are grass animals than fire animals?
Answer:
Fire animals = 36 * 1/4 = 9
Water animals = 36 * 1/6 = 6
Grass animals = 36 - (9 + 6) = 21
There are 21 - 9 = 12 more grass animals than fire animals
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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you can paint a room in 8 hours. working together, you and your friend can paint the room in just 5 hours. How long does it take your friend to paint a room by himself?
It takes about 13.33 hours for the friend to paint a room by himself.
If two persons are working on the same project together, their work rates add up and they can finish the project faster. If x is the time taken by person 1 to complete a task, then the work rate is 1/x. If y is the time taken by person 2 to complete a task, then the work rate is 1/y. Then, the formula to calculate the work-rate problem is \(\frac{1}{x}+\frac{1}{y}=\frac{1}{t}\).
Here, the rate of work done by person 1 is 1/8. Together, the rate is 1/5. Then,
\(\begin{aligned}\frac{1}{8}+\frac{1}{y}&=\frac{1}{5}\\\frac{y+8}{8y}&=\frac{1}{5}\\5y+40&=8y\\3y&=40\\y&=\frac{40}{3}\\&=13.33\end{aligned}\)
Therefore, the answer is 13.33 hours.
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find the vertices and foci of the hyperbola
\(\textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\cfrac{y^2}{25}-\cfrac{x^2}{144}=1\implies \cfrac{(y-0)^2}{5^2}-\cfrac{(x-0)^2}{12^2}=1\hspace{5em} \begin{cases} h=0\\ k=0\\ a=5\\ b=12 \end{cases} \\\\\\ c=\sqrt{25+144}\implies c=13 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{rllll} vertices ~~ (0~~,~~\pm \stackrel{ a }{5})\\ foci ~~ (0~~,~~\pm \stackrel{c}{13}) \end{array}} \hfill ~\)
Select the correct answer.
What is the value of x?
The picture shows a triangle. The length of the right sideline is x and the base is 15. The angle of the left vertex is 45 degrees.
A.
7.5
B.
10.6
C.
15
D.
21.2
The value of x is approximately 10.6. So, the correct answer is B. 10.6
To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.
Using the sine function, we have:
sin(45 degrees) = x / 15
To solve for x, we can rearrange the equation:
\(x = 15 \times sin(45 degrees)\)
Using the exact value of sin(45 degrees) (which is √2 / 2), we have:
\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)
x = 7.5√2
Therefore, the correct answer is B. 10.6.
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If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?
Work Shown:
time = distance/speed
time = (1.5 miles)/(3 mph)
time = (1.5/3) hours
time = 0.5 hours
time = 30 minutes
It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.
A bicycle is originally priced at $60. The online retailer gives a discount and the bicycle is now priced at $42. Enter the percentage discount for the cost of the bicycle.
Answer:
30% ywww
Step-by-step explanation:
A coin contains 9 grams of nickel and 16 grams of copper, for a total weight of 25 grams. What percentage of the metal in the coin is copper
Answer:
Step-by-step explanation:
A coin of 25 grams contains 16 grams of copper.
Then a coin hundred grams contains (100×16)/25 = 64 grams of copper.
Hence the percentage of copper in the coin is 64%.
*I hope that this answer will help you.
Step-by-step explanation:
nickel is 9 grams out of (9 + 16) = 25 grams by weight
9 is what percent of 25?
9 / 25 * 100% = 36%
Find the sum of the first 10 terms of the following series, to the nearest integer.
24, 96, 384, ...
Hello!
6
6 x 4 = 24
24 x 4 = 96
96 x 4 = 384
384 x 4 = 1536
1536 x 4 = 6144
6144 x 4 = 24576
24576 x 4 = 98304
98304 x 4 = 393216
393216 x 4 = 1572864
6 + 24 + 96 + 384 + 1536 + 6144 + 24576 + 98304 + 393216 + 1572864 = 2097150
The answer is 2097150
pls help im very stuck
Answer:
Step-by-step explanation:
zachary climed 9.5 m
erin climed 8.8m
to 2 dp
zachary-9.51
erin-8.76
find the image coordinates of a triangle with the coordinates M(0,4), N(4,2), and P(2,-2), dilated by a scale facotr of three
The image triangle has vertices after the dilation by a scale factor of 3 are M'(0,12), N'(12,6), and P'(6,-6).
How to determine image coordinates of the triangleTo find the image coordinates of a triangle after dilation, we need to multiply the coordinates of each point by the scale factor.
In this case, the scale factor is 3.
So the image coordinates of the triangle with vertices M(0,4), N(4,2), and P(2,-2) after dilation by a scale factor of 3 are:
M' = (3 * 0, 3 * 4) = (0, 12)
N' = (3 * 4, 3 * 2) = (12, 6)
P' = (3 * 2, 3 * (-2)) = (6, -6)
Hence, the image triangle has vertices M'(0,12), N'(12,6), and P'(6,-6).
In summary, the image coordinates of the triangle after dilation by a scale factor of 3 are M'(0,12), N'(12,6), and P'(6,-6).
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Solve each equation:6x + ? = 10x+5
The complete equation is 6x + 4x + 5 = 10x + 5.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
An equation,
6x + ? = 10x+5
To find the missing term:
Let the missing terms is n.
Then,
6x + n = 10x + 5
n = 4x + 5.
Therefore, the missing term is 4x + 5.
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