Answer:
a?
Step-by-step explanation:
Solve the equation for x. Assume a≠0. 4=ax−14
\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)
Let's solve for x ~
\(\qquad \tt \dashrightarrow \:4 = ax - 14\)
\(\qquad \tt \dashrightarrow \:ax = 4 + 14\)
\(\qquad \tt \dashrightarrow \:ax = 18\)
\(\qquad \tt \dashrightarrow \:x = \dfrac{18}{a}\)
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
Consider the sequence: -7, -2, 3, 8…. What is f(7)?
Find the horizontal and vertical asymptotes of the curve. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y =
7x2 + x − 1/
x2 + x − 20
A) horizontal y=
B) vertical x=
A) horizontal asymptote: y = 7 B) vertical asymptote: x = -4, 5 is the required answers for horizontal and vertical asymptotes of the curve.
The horizontal asymptote of a curve is a horizontal line that the curve approaches as x approaches infinity or negative infinity. The vertical asymptote of a curve is a vertical line that the curve approaches but never crosses as x approaches a certain value. In this case, the horizontal asymptote is found by letting x approach infinity in the fraction and observing what the value of y approaches. In the limit as x approaches infinity, the x^2 term dominates and thus y approaches 7, which is the horizontal asymptote. To find the vertical asymptote, we find the values of x where the denominator equals 0 and the numerator is not equal to 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5. Thus, the vertical asymptotes are x = -4 and x = 5. To find the vertical asymptotes, we look for the values of x where the denominator of the function equals 0 and the numerator does not equal 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5, which means that x = -4 and x = 5 are the vertical asymptotes of the function. These values of x represent the values at which the function is undefined, and as x approaches these values from either side, the value of the function approaches positive or negative infinity.
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What is the volume of this object?
Answer:
The volume is 45 cubic units.
So enter "45" into the box.
Step-by-step explanation:
Multiply the dimensions to get the volume. (Length times width times height)
The box is 5 units by 3 units by 3 units.
Solve 5x3x3 (LxWxH) using a calculator...
And you get 45 cubic units.
Answer:
45
Step-by-step explanation:
L= 3
W= 5
H= 3
V=LxWxH
3 x 3 x 5
A certain population demographic may be defined as someone 45 and older, but less than 51 years of age
Answer:
45 > 51
Step-by-step explanation:
(05.01)Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business:YearAnnual Tutoring Fee2005$12002008$1350A. What is the rate of change and initial value for Neil’s business? How do you know?B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.
Solution:
Given that, the initial year (2005), the tutoring fee is $1200. Three years later (2008), the tutoring fee is $1350.
Thus, the rate of change, m, is;
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ x_1=0,y_1=1200,x_2=3,y_2=1350 \end{gathered}\)\(\begin{gathered} m=\frac{1350-1200}{3-0} \\ \\ m=\frac{150}{3} \\ \\ m=50 \end{gathered}\)Then, the rate of change for Neil's business is 50 and the initial value is $1200.
(b) The slope-intercept form is written as;
\(\begin{gathered} y=mx+b \\ \\ \text{ Where }m\text{ is the rate of change, }b\text{ is the initial value;} \\ y\text{ is the annnua tutoring fee,}x=year \end{gathered}\)ANSWER:
\(y(x)=50x+1200\)Andrew's number is 4 less than Sophia's number. The
sum of their numbers is 46. Find the numbers
Rami and Juan each make 8 batches of granola. Rami makes 35 ounces of granola per batch, and Juan makes 30 ounces of granola per batch. They combine their granola and pour all of it into bags. They fill as many bags as possible with 9 ounces of granola each. They pour the remaining granola into the last bag.
How many full bags do they pour, and how much granola will be in the last bag?
They pour
full bags. There will be
ounces in the last bag.
Answer:
57 full bags, last bag will have approx 8/10 of an ounce
Step-by-step explanation:
Rami's total granola in ounces: 35 x 8 = 280
Juan's total granola in ounces: 30 x 8 = 240
Total ounces = 520
520 divided by 9 equals 57 full bags with a remainder of .77 ounces to go into the last bag
The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored less than 400. a. 84% b. 16%
Answer:
b. 16%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 500
Standard deviation = 100
Percentage of students who scored less than 400:
400 = 500 - 1*100
So 400 is one standard deviation below the mean.
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
Of those who are below, 68% are within 1 standard deviation of the mean, that is, between 400 and 500. So 100-68 = 32% are below 400.
0.5*0.32 = 0.16 = 16%
So the correct answer is:
b. 16%
A section of a stream is shown in the drawing below. What is x, the distance across the stream, in feet?
Answer:
\(x = 8\ ft\)
Step-by-step explanation:
Given
See attachment for stream
Required
Find x
To solve for x, we make use of the following equivalent ratio
\(4 : 6 = x : 12\)
Convert to fractions
\(\frac{4}{6} = \frac{x}{12}\)
Multiply both sides by 12
\(12 * \frac{4}{6} = \frac{x}{12} * 12\)
\(12 * \frac{4}{6} = x\)
\(x = 12 * \frac{4}{6}\)
\(x = \frac{12 * 4}{6}\)
\(x = \frac{48}{6}\)
\(x = 8\)
Please help me solve this problem
Extra points
Answer:
C
Step-by-step explanation:
you open up the brackets and multiply 2 to whatever is inside and you'll get C
Mr. Azu invested an amount at rate of 12% per annum and invested another amount, 580 ghana cedis more than the first at 14% . if Mr. Azu had total accumulated amount of 2,358.60, how much was his total investment?
Answer:
2082.12 was the total invested
Step-by-step explanation:
Let x represent the amount invested at 14%. Then the amount invested at 12% was (x-580). The total accumulated amount was ...
112%(x -580) +114%(x) = 2358.60
2.26x -649.60 = 2358.60
2.26x = 3008.20 . . . add 649.60
x = 1331.06 . . . . . . divide by 2.26
x -580 = 751.06
The total invested was 1331.06 +751.06 = 2082.12 cedis.
__
Check
The investment at 12% was 751.06, so the accumulated amount of that investment was 751.06×1.12 = 841.19.
The investment at 14% was 1331.06, so the accumulated amount of that investment as 1331.06×1.14 = 1517.41.
The accumulated total amount was 841.19 +1517.41 = 2358.60.
f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?
The value of k is 18.
If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.
Substituting x = -2 into f(x), we have:
f(-2) = (-2)³ + 5(-2) + k
= -8 - 10 + k
= -18 + k
Since f(-2) should equal zero, we have:
-18 + k = 0
k = 18
Therefore, the value of k is 18.
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PLZ HELP ME OUT How do I know a number is rational or irrational?
Answer: If a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.
If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.
Step-by-step explanation:
So if a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.
If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.
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.
5% of a number is 23
1% of a number is 4.6
work out 16% of the number
What are the factors of 36xyz?
Answer:
1
Step-by-step explanation:
your father give you a plot for your god in which is 25 square meter and after awake you have planned only the 17 square meter of it what percentage of the plot is left to be plant
\(\frac{25-17}{25}\)×\(100%\)%
\(=32\)%
∴ 32% is left to be plant.
find the instantaneous rate of change of the function at the given value . Thank you
Answer:
The instantaneous rate of change of the function at x=0 is 0
\(f^{\prime}(0)=0\)Explanation:
We want to find the instantaneous rate of change of the function below;
\(y=2x^2-2\)at x =0.
The instanteneous rate of change of function f(x) at point a can be written as;
\(f^{\prime}(a)=\frac{df(a)}{dx}\)For the given function;
\(f^{\prime}(x)=y^{\prime}=4x\)so, at x=0;
\(\begin{gathered} f^{\prime}(x)=4x \\ f^{\prime}(0)=4(0) \\ f^{\prime}(0)=0 \end{gathered}\)Therefore, the instantaneous rate of change of the function at x=0 is 0
\(f^{\prime}(0)=0\)A new food delivery robot on a college campus is doing test runs at a constant speed of 4 miles per hour. The average test run is 3 miles from
the campus cafeteria but varles a distance of 1.5 miles more or less than that.
If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in
hours) for a test run is
A. | 3x - 4 | = 1.5
B. | 4x - 3 | = 1.5
C. | 4x - 1.5 | = 3
D. | 3x - 1.5 | = 4
For each test run, the minimum time is
A. 0.375
B. 0.625
C. 0.75
D. 0.83
and the maximum time is
A. 2.125
B. 1.125
C. 1.875
D. 1.83
Answer: B.
Step-by-step explanation:
Let x = Number of hours the robot is performing a test run.
Given: Constant speed = 4 miles per hour
Average test run = 3 miles
Since Distance = speed x time
As per given,
(Constant speed) ( Number of hours) -(average test run) = (distance varies)
|4x-3|=1.5
Hence, the correct option is B.
Find the average value of f(x) = √81 -x² over the interval [0, 9].
Answer:
\(f_{ave}=\dfrac{9\pi}{4}\)
Step-by-step explanation:
You want the average value of f(x) = √(81 -x²) on the interval [0, 9].
AreaThe function f(x) defines a quarter circle of radius 9 in the first quadrant on the given interval. Its area is given by the formula in the problem statement:
A = (1/4)πr² = (π/4)·81
Average valueThe average value of the function is the area divided by the width of the interval:
\(f_{ave}=\dfrac{\dfrac{81\pi}{4}}{9}\\\\\\\boxed{f_{ave}=\dfrac{9\pi}{4}}\)
__
Additional comment
You will notice that the average value is π/4 times the radius. This is also true for a semicircle. The attachment shows the rectangle with area equal to that of the quarter circle.
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answer this please!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
200
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(120^{2}\) + \(160^{2}\) = \(c^{2}\)
14400 + 25600 = \(c^{2}\)
40000 = \(c^{2}\)
\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)
200 = c
Jesus love you.
Thank you to who it is that helps me!
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
Elena's aunt bought her a $200 savings bond when she was born. When Elena is 20 years old, the bond will have earned 110% in interest. How much will the bond be worth when Elena is 20 years old? Dhoma
Step-by-step explanation:
$157.50
i HOPE THIS HELP YOU
A. she should find the squares of numbers between 7.4 and 7.5
Answer:
she should estimate that 42 is 6.50. D. she should find the squares of numbers between 6.4 and 6.5
Help please! Using the graph below determine which statement is true
Answer:
The answer is 'C' "The slope of line BC is equal to the slope of line segment DE"
Step-by-step explanation:
This is correct. I checked my answer for this about 3 times. If this isn't correct then my next bet is answer 'D'
{-Please give me credit for trying, Thank you-}
please help 30 points
See attachment for the graph of the function y = 5 sin(4x)
How to graph the trigonometry function?The trigonometry function is given as:
y = 5 sin(4x)
To plot the graph, we use the following domain:
x > 0
This represents the minimum value of x
Also, we use
x < π/2
This represents the maximum value of x
When the domain are combined, we have:
0 < x < π/2
This means that the domain that gives a complete cycle is 0 < x < π/2
See attachment for the graph of the function
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.
To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.
The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.
Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.
To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:
£72 / 5 = £14.40
Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.
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Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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