Answer:
-20x+30
Step-by-step explanation:
Using distributive property take -5 and multiply 4x and -6 to that -5
That equals 4 x 5 is 20
add the negative -20
add the x -20x
-5 x -6 = 30
add the final product together
-20x+30
Describe and correct the error a student made in writing the exponential function
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
(Use integers or fractions for any numbers in the expression)
O A The student made an error by multiplying incorrectly. The final answer should be (6) =
OB. The student made an error by applying the exponent to the product of a and b instead of just b. The final answer should be f(x) =
OC. The student made an error by interchanging the exponent and the base. The final answer should be ) =
OD. The student made an error with substitution. The starting value should be substituted for b and the constant ratio for a. The final answer should be f(x)=
The true statement is (a) the student made an error by multiplying incorrectly. The final answer should be \(f(x) = 6(\frac13)^x\)
The student steps' are given as:
Starting value: a = 6Constant ratio: r = 1/3\(f(x) = 6(\frac13)^x\)\(f(x) = 2^x\)What is an exponential function?An exponential function is a function that is represented as:
\(f(x) = a(b)^x\)
Where:
a represents the initial valueb represents the rateFrom the student steps, we have:
\(f(x) = 6(\frac13)^x\)
The above means that:
The student did not make any error in substituting the values
However, the student made a mistake in multiplying 6 and (1/3)^x
So, the correct function that represents the given parameters is \(f(x) = 6(\frac13)^x\)
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will give brainlist
Answer:
SAS
Step by Step Explanation:
I know this because im doing the same thing in class rn and just finished an assignment just like this :)
The Great Pyramid of Cheops is a square-based pyramid. The base has sides of 230m, and a height of 147m.
Using the same material, what would the height be if you gave the base sides of 250m?
height = ___m
: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)
Answer:
A rational number: 5.4, which also can be written as 27/5
Irrational number:
sqroot 28
approx= 5.29
Step-by-step explanation:
5.4 is a rational number because it is a terminating decimal. That means it ends after the 4, there are no more numbers. Also it can be written as a ratio (looks like a fraction) 27/5.
Sqroot28 is irrational. Since 28 is not a perfect square, when you squareroot it you get a number with a neverending decimal
sqroot28 = 5.2915026221...
since the decimal does not repeat or end it cannot be written as a ratio, so it is not rational
sqroot28 ~= 5.29
find the probability of winning a lottery with the following rule. select the winning four numbers from 1, 2, . . . , 29. (in any order. no repeats.)
Answer:
The probability of winning the lottery is 0.1457 (or 14.57%)
Step-by-step explanation:
Since we select 4 numbers, we have 4 chances of winning the lottery and we add these 4 chances to get the probability of winning,
There are 29 numbers, we randomly take out one,
so the probability that we have the winning number is 1/29
Now, there are 28 number left, The probability of winning for the 2nd try is then 1/28,
Then there are 27 numbers left and we get the probability, 1/27
Finally, there are 26 numbers left and the probability that our number is the winning number for the 4th try is 1/26
So the total probability is,
P = 1/29 + 1/28 + 1/27 + 1/26
P = 0.1457
A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles the lake if the river current is 2 km/h.
Answer:
5 or 6
Step-by-step explanation:
So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.
then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:
Since the time is 6/x-2 or 15/x
15/x-6/x-2=1
multiply everything to get a common denominator then cancel it out to get
(15x-30)-6x=x^2-2x
11x-30=x^2
x^2-11x+30=0
(x-5)(x-6) is factored form.
so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h
If you take - 3/10 of a number and add 1, you get 10. Write an equation to represent the situation. What is the original number
Answer: -30
Let's call the original number "x". Then, we can write the equation as follows:
-3/10 x + 1 = 10
To find the original number, we can isolate x by subtracting 1 from both sides and then multiplying both sides by 10/3:
-3/10 x = 9
x = (9 * 10)/(-3)
x = -30
So, the original number is -30.
Ja’ron collected data about the number of students participating in different types of after-school programs. The chart displays his findings.
Program
Students Participating
sports
23
art
25
academic
21
religious
18
family
32
Which type of graph would best display the data?
bar graph
line graph
line plot
stem and leaf plot
Answer:
A. Bar graph
Step-by-step explanation:
Since they are all different activities and don't relate you can put different bars to put the different activities and use the left to indicate the amount of students and grow the bar according to the amount of students in that activity; each bar stands for a different activity, the y-intercept is for the amount of students, the bar will grow 'up' according to the amount of students.
8 is 16 times what number
Answer:
1/2
Step-by-step explanation:
If you need an explanation just comment
Answer:
2 and you are in high school learning that?
Step-by-step explanation:
Three different non-zero digits can be arranged in six different ways to
form six three-digit numbers. If the smallest three of these numbers add
to 540, what is the sum of the largest three numbers?
Answer:
1134
Step-by-step explanation:
We have 3 digits:
a, b, c
a 3 digit number can be written as:
a*100 + b*10 + c*1
Such that these numbers can be:
{1, 2, 3, 4, 5, 6, 7, 8, 9}
Let's assume that:
a < b < c
Then the 3 smaller numbers are:
a*100 + b*10 + c
a*100 + c*10 + b
b*100 + a*10 + c
The 3 larger numbers are:
b*100 + c*10 + a
c*100 + a*10 + b
c*100 + b*10 + a
We know that the sum of the 3 smaller numbers is equal to 540, then:
(a*100 + b*10 + c) + (a*100 + c*10 + b) + (b*100 + a*10 + c) = 540
Let's simplify this:
(a + a + b)*100 + (b + c + a)*10 + (c + b + c) = 540
(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540
The sum of the 3 larger numbers is equal to X, we want to find the value of X:
(b*100 + c*10 + a) + (c*100 + a*10 + b) + (c*100 + b*10 + a) = X
Now let's simplify the left side:
(b + c + c)*100 + (c + a + b)*10 + (a + b + a)*1 = X
(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X
Then we have two equations:
(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540
(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X
Notice that the terms are inverted.
By looking at the first equation, we can see that:
(2c + b) = 10 (because the units digit of 540 is 0)
Then, we can see that:
(b + c + a + 1 ) = 14 (the one comes from the previous 10)
finally:
(2a + b + 1) = 5 (the one comes from the previous 14)
Then we can rewrite:
(2*c + b) = 10
(b + c + a) = 14 -1 = 13
(2a + b) = 5 - 1 = 4
Now we can replace these 3 in the equation:
(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X
(10)*100 + (13)*10 + 4 = X
1000 + 130 + 4 = X
1134 = X
The sum of the 3 largest numbers is 1134.
in a bag of marbles, 1 2 are red, 1 4 are blue, 1 6 are green, and 1 12 are yellow. you pick a marble without looking. what color marble are you most likely to choose?
The probability of selecting a red marble is 1/2, the probability of selecting a blue marble is 1/4, the probability of selecting a green marble is 1/6, and the probability of selecting a yellow marble is 1/12.
To find the color marble that is most likely to be chosen, we simply need to identify the color with the highest probability. In this case, the highest probability is for a red marble, with a probability of 1/2 or 50%.
Thus, if you pick a marble without looking, you are most likely to choose a red marble.
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What is the solution to this equation?
-8x + 4 = 36
A. x= -5
B. x= 4
C. x = 5
D. x= -4.
Answer:
D. x= -4
Step-by-step explanation:
-8x × -4 = 32 + 4 = 36
you can subtract 4 from 36, which leaves you with -8x = 32. you then divide 32 by -8 to (1) cancel out -8 which will leave you with x, and (2) give you your answer. 32 / -8 = -4.
x is -4
seis personas pueden vivir en un hotel durante 12 dias por $792. ¿Cuanto costara el hotel de 15 personas durante ocho dias?
The hotel will cost $1,320 for 15 people for eight days.
How to calculate the costSix people staying for 12 days is a total of 6 x 12 = 72 person-days. The cost of the hotel for this period is $792, so the cost per person per day is:
792 / 72 = $11 per person per day
It should be noted thatin order ro calculate the cost for 15 people staying for eight days, we need to first calculate the total person-days for this group:
15 x 8 = 120 person-days
120 person-days x $11 per person per day = $1,320
Therefore, the hotel will cost $1,320 for 15 people for eight days.
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six people can live in a hotel for 12 days for $792. How much will the hotel cost for 15 people for eight days?
HELP ASAP
Expand the expression: 3(n+4)
Multiply 3 and n, and 3 and 4.
3n+12
---
hope it helps
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
Translate the sentence into an equation.
Eight more than the product of a number and 9 is 6.
Use the variable x for the unknown number.
Answer:
9\(x\) + 8 = 6
Step-by-step explanation:
The product of two numbers is the result you get when you multiply them together, so the product of \(x\) and 9 is 9\(x\)
In a right triangle, sin (8x - 9)° = cos (x+6)°. Solve for x. Round your answer to the nearest hundredth if necessary.
To solve the triangle, or identify unknown portions in terms of known portions, we can apply the Pythagorean theorem and the properties of sines, cosines, and tangents. The x is 8 .
Find value of x ?To solve the triangle, or identify unknown portions in terms of known portions, we can apply the Pythagorean theorem and the properties of sines, cosines, and tangents.
Pythagorean theorem: a2 + b2 = c2.
Sine: sin A=a/c, sin B=b/c.
Cosines: cos A = b/c, cos B = a/c.
Identity based on trigonometry
cos x sin (90-x)
therefore, if we have
(4x plus 10) o = Cos (6x)
(4x plus 10) o = Sin (90- 6x)
4x + 10 = 90 - 6x
4x+6x = 90 - 10
10x = 80
x = 80/10
x = 8
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What is the linear function equation represented by the graph?
please hurrrrrryyyy!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
f(x)=
Answer:
f
f(x) =-3/4x +2
Step-by-step explanation:
You have points (0,2) and (-4,5) Soo the slope is 5-2/-4-0 = 3/-4
Then f(x) = mx+b. So f(x) = -3/4x + 2 because the y intercept is (0,2).
Answer:
f(x)= -x+2
Step-by-step explanation:
Looking at the graph gives us this information:
SLOPE
you can see that for every 1 unit over, it goes one unit down.
slope = rise / run which would be -1/1 which is also just -1
INTERCEPT
the y intercept is 2
equations are typically written in y=mx+b form (where m is the slope and b is the intercept)
so we have y = -1x +2
you don't need to write the 1 because -1x is the same as -x
sof(x)= -x+2
6(x - 6) + x = 7(x - 7) + 13
Answer:
X = All Real Numbers
Step-by-step explanation:
Distribute: (6)(x) + (6)(−6) + x = (7)(x) + (7)(−7) +13
Multiply: 6x + −36 + x = 7x + −49 + 13
Combine like terms: (6x + x ) + (−36) = (7x) + (−49 + 13)
Simplify: 7x + −36 = 7x + −36
7x − 36 = 7x −36
Subtract 7 from both sides: -36 = -36
Add 36 to both sides: 0 = 0
70 POINTS PLEASE HELP AS SOON AS POSSIBLE THANKS SO MUCH
The expression (0.085x) + (x−80) represents the final cost of a computer including 8.5% sales tax and a manufacturer discount.
What does (0.085x) represent?
A the manufacturer's discount
B the original price of the computer
C the amount of tax
D the final cost of the computer
The 0.085x in the expression represents the sales amount
How to determine what 0.085x represents?The expression is given as
(0.085x) + (x−80)
On the expression, we have the following representation:
Sales tax = 8.5%
This means that
Sales amount = Sales tax * x
So, we have
Sales amount = 8.5% * x
Express 8.5% as 0.085
So, we have
Sales amount = 0.085 * x
Evaluate
Sales amount = 0.085x
Hence, 0.085x represents the sales amount
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2. Decide whether enough information is given to prove that the triangles are congruent using
the HL Congruence Theorem. Explain how you have concluded your answer.
Therefore , the solution of the given problem of triangle comes out to be the HL Congruence Hypothesis cannot be used to demonstrate anything.
What is a triangle exactly?A triangular is a polygon because it has two or maybe more additional sections. It has a straightforward square form. Only the edges A, B, but also C distinguish a triangular from a parallelogram. When the sides are not exactly collinear, Euclidean geometry produces a singular plane instead of a cube. If a shape has three edges and three angles, it is said to be triangular.
Here,
According to the HL Congruence Theorem, a triangle is congruent if its hypotenuse and one of its legs are congruent with the hypotenuse and corresponding limb of another right triangle.
We must assess whether the two right triangles have the following information in order to decide whether the HL Congruence Theorem can be used to prove that the triangles are congruent:
Both of them are right circles.
Each triangle has a limb that is congruent.
Each triangle's hypotenuses are similar to one another.
The HL Congruence Theorem allows us to infer that the triangles are congruent if all three requirements are satisfied.
The HL Congruence Hypothesis cannot be used to demonstrate anything if any one of the prerequisites is not satisfied.
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QUESTION # 14
What is the slope of this data?
Answer:
a) 0.22...
Step-by-step explanation:
m=y2-y1/x2-x1
m=6-4/27-18
m=2/9 = 0.22..
to get the slope of any straight line, we simply need two points off of it, let's use the points in the picture below.
\((\stackrel{x_1}{18}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{27}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{27}-\underset{x_1}{18}}} \implies \cfrac{2 }{ 9 }\implies 0.\overline{22}\)
what is the total number of points of intersection of the graphs of the equations y 5 ex and xy 5 20 ?
A. The total number of points of intersection of the graphs of the equations y = 5e^x and xy = 20 is two.
To find the points of intersection, we must solve the two equations for x and y.
For the first equation, y = 5e^x, we can solve for x by taking the natural logarithm of both sides and getting x = ln(y/5).
For the second equation, xy = 20, we can solve for y by dividing both sides by x and getting y = 20/x.
We can then substitute the expression for x in terms of y into the expression for y in terms of x and solve for y to get y = 20/(ln(y/5)). This is a nonlinear equation that must be solved numerically.
By using numerical methods, we can solve the equation and find the two points of intersection, which are (x, y) = (3.68, 4.64) and (x, y) = (0.87, 22.95).
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Please answer and explain how
The expression is to be written in complete square method and the value will be equal to (x + 5/2)² + 7/4.
The expression x² + 5x + 8 is a quadratic polynomial and a quadratic polynomial is one which can be written in the form ax² + bx + c; where a, b and c are constant values and x is the independent variable. Now in order to write the expression by using completing square method we write the polynomial as
x² + 5x + 8
We divide the coefficient of x that is 5 by 2 so we get
x² + (5/2)x + 8
Now, we add and subtract the square of coefficient of x that is 5/2 so we get
x² + (5/2)x + 8 + (5/2)² - (5/2)²
From the above expression we get
(x + 5/2)² + 8 - 25/4
(x + 5/2)² + (32 - 25)/4
(x + 5/2)² + 7/4
Thus we have written the expression in the form (x + p)² + q as (x + 5/2)² + 7/4.
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if one in four adults own stocks, then what type of probabilty distribution would be used to determine the probability in a random sample of 10 people that exactly three own stocks?
The probability distribution that would be used in this scenario is the binomial distribution.
The binomial distribution is used to calculate the probability of a certain number of successes in a fixed number of independent trials, given a known probability of success in each trial. In this case, the number of successes is owning stocks, the number of trials is 10 people, and the probability of success is one in four adults owning stocks.
In this case, the probability that exactly three out of ten people own stocks, given that one in four adults own stocks, you would use the binomial probability distribution. The reasoning for this is because the binomial distribution is used when there are a fixed number of trials (in this case, 10 people), each trial has only two possible outcomes (owning stocks or not owning stocks), and the probability of success (owning stocks) is the same for each trial (1 in 4 or 0.25).
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20 OF POINTS OFFERED.
Answer:
\(f(x) = (x - 3)( {x}^{2} + 3x - 2)\)
Step-by-step explanation:
\((x - 3)( {x}^{2} + 3x - 2) \\ {x}^{3} + 3 {x}^{2} - 2x - 3 {x}^{2} - 9x + 6 \\ {x}^{3} - 2x - 9x + 6 \\ {x}^{3} - 11x + 6\)
3(2x-7)= 3
What are the solutions
40 feet in 25 seconds as a unit rate
Answer:
The answer is 1.6 ft per second
Step-by-step explanation:
40 ft ÷ 25/ 25 seconds÷ 25
{when I put / it means fraction}
This is a fraction equal to
40 ft ÷ 25 seconds
But what we are looking for is a unit rate which has 1 in the denominator,
so next we have to divide top and bottom by 25
=1.6 ft / 1 second
=1.6 ft / second
= 1.6 ft per second
-----------------------------------------------------------
Hope this helps
Answer:
1.6 feet per second
Step-by-step explanation:
Help with this question plzzzzzz
Answer:
C) 145 degrees
Step-by-step explanation:
angles 2 and 5 are same side interior angles, which means they're supplementary. (they add together to make 180)
using that, you can make the following equation:
(x is angle 2 to avoid confusion)
35 + x = 180
subtract 35 from both sides
x = 180 - 35
x = 145
A student was asked to simplify the expression 2(x+3)+(4x−8)−7x .
Answer:
-x -2
Step-by-step explanation:
1- Apply the Distributive Property
2- Calculate the product or quotient
3- Determine the sign
4- Reorder and gather like terms
Collect coefficients of like terms
Calculate the sum or difference