Answer: y= 3 times 2 to the power x. Second answer
Step-by-step explanation:
if you plug in 0 for x, y= 3x 1= 3
if you plug in 1 for x y= 3 x 2 = 6
Look at the x values and y values
(0,3) and (1, 6) on the graph. It matches answer number 2. Remember, 2 raised to the power 0 = 1 and 3 times 1 = 3. And 2 raised to the power 1 =2 and 3 times 2 = 6.
Help pls I will give brainliest!!
Answer:
C. -16
Step-by-step explanation:
Hope this helps you! :))
16
Step-by-step explanation:
the answer is c
just took a test and I got it right
The expression 43πr3 represents the volume of a sphere, with radius r. Why is this expression a monomial?
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
It is the product of a number, represented by Response area, and a variable with a whole number exponent, represented by Response area.
Question 2
What is the degree of the monomial?
The degree is
.
Degree of a polynomial is the highest power that its terms contain which is 3 in the given monomial.
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
WE have been given an expression as 43πr³ represents the volume of a sphere, with radius r.
Terms can be added or subtracted to make a polynomial. They are composed of variables and constants all in multiplication.
So we know that if there is one term, then the polynomial will be called monomial.
Therefore, this expression is a monomial which have inly one term as 43πr³ .
Degree of a polynomial is the highest power that its terms contain which is 3 in the given monomial.
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1. What is the result if you divide -12x8y8 by 3x4y ²?
O A. 4x4yê
O B. 4x²y
O C.-4x²yA
O D. -4x^y6
Please look at photo, it didn’t type correctly.
What is the answers please
The answer of the given multiplication is 19.2, 1.7, 15.93 and 0.0512 respectively.
To find the answer, we will simply multiply the given numbers.
i) 3.2 × 6 = 19.2
ii) 8.5 × 0.2 = 1.7
iii) 2.7 × 5.9 = 15.93
iv) 0.32 × 0.16 = 0.0512
Hence, the answers is 19.2, 1.7, 15.93 and 0.0512 respectively.
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Write the equation of a line, in slope-intercept form, that is perpendicular to y = - 1/3 x + 4 and passes through the point (-2-5)
The equation of the line perpendicular to the given line is, y = 3x + 1.
What is slope of the line?
The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics. The symbols Δy and Δx stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively. where "m" denotes a line's gradient. tanθ then represents the slope of a line.
Consider, the given equation of line
[tex]y = -\frac{1}{3}x+4[/tex]
We have to find the equation of line passes through the point (-2, -5) and perpendicular to the given line.
Here, the point is (-2, 5).
First to find the slope of the line.
Since, the slope of the line, perpendicular to the given line is negative reciprocal of the slope of given line.
Here, the slope of given line is, -1/3.
So, the slope of perpendicular line is [tex]-(\frac{1}{(-\frac{1}{3}) }) = 3[/tex]
Therefore, the slope of the line is 3.
Now to find the equation of the line.
Consider, the point - slope form of the line
[tex]y-y_1=m(x-x_1)[/tex]
Plug [tex](x_1, y_1) = (-2, -5) , m = 3[/tex]
⇒
[tex]y-(-5)=3(x-(-2))\\y+5=3(x+2)\\y+5=3x+6\\y=3x+6-5\\y=3x+1[/tex]
Hence, the equation of line in slope - intercept form, is y = 3x + 1.
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For the functions f(x)=2x4+2x3−x2+2x+3 and g(x)=x+1 find (fg)(x) and (fg)(−4)
The value of the function (fg(x) is 2x⁵ + 2x⁴ + x³ + x ² +5x +3 and the value of f(g)(-4) is -1089.
What is polynomial?A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
Given function is f(x) = 2x⁴ + 2x³− x²+ 2x + 3
The value of the function is calculated as,
f(x) = 2x⁴ + 2x³− x²+ 2x + 3
(fg)(x) = (2x⁴ + 2x³− x²+ 2x + 3)(x+1)
(fg)(x) = (2x⁵ + 2x⁴ + x³ + x ² +5x +3)
The value of (fg)(x) is calculated as,
(fg)(x) = (2x⁵ + 2x⁴ + x³ + x ² +5x +3)
(fg)(-4) = (2(-4)⁵ + 2(-4)⁴ + (-4)³ + (-4)² +5x-4 +3)
(fg)(-4) = -2048 +1024-64+16-20+3
(fg)(-4) = -1089
Therefore, the value of the function (fg(x) is 2x⁵ + 2x⁴ + x³ + x ² +5x +3 and the value of f(g)(-4) is -1089.
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find quotient of 5 divided by 3/10
The quotient of 5 divided by 3/10 is equal to 50/3
How to divide by a fraction?When we want to divide by a fraction, we just need to replace that division by the product with the inverse of the fraction.
So, if we want to divide A by the fraction (b/c), then we can write:
A÷(b/c)
That will be equal to A*(c/b), so:
A÷(b/c) = A*(c/b)
Here we want to divide 5 by 3/10, then we need to solve:
5÷(3/10)
Using the above rule we will get:
5÷(3/10) = 5*(10/3) = 50/3
That is the quotient.
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The perimeter of a triangle is 42 feet. One side of the triangle is one foot longer than the second side. The third side is five feet longer than the second side. Find the lengths of all three sides (in feet). (Enter your answers as a comma-separated list.)
Answer:
12 ft, 13 ft , 17 ft
Step-by-step explanation:
let x be the length of the second side , then
one side is x + 1
third side is x + 5
the perimeter P is the sum of the 3 sides, then
P = x + x + 1 + x + 5 ← collect like terms
P = 3x + 6
given P = 42 , then equating gives
3x + 6 = 42 ( subtract 6 from both sides )
3x = 36 ( divide both sides by 3 )
x = 12
x + 1 = 12 + 1 = 13
x + 5 = 12 + 5 = 17
the 3 sides are 12 ft, 13 ft , 17 ft
PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
A regular polygon has 12 sides. If one of its angles measures (8h − 30)°, what is the value of h?
h = 10.75
h = 18.75
h = 20.25
h = 22.5
Answer: h = 22.5
Step-by-step explanation:
Total angle area of a 12 sided polygon is 1800
1. One angle would be 1800/12= 150
8h - 30 = 1502. Add 30 one each side to cancel out and only leave 8h.
8h = 1803. To get rid of the 8 we divide the the other side by 8.
h = 22.5The answer is 22.5
Answer: D 22.5 i got it right on the exam
Step-by-step explanation:
a.) find the test statistic
b.) what is the p-value
c.)what is the conclusion about the null hypothesis
d.) what is the final conclusion?
a) The test statistic is: t = 1.85.
b) The p-value is: 0.0648.
c) The null hypothesis is not rejected.
d) There is not sufficient evidence to conclude that the population mean is different of 4.
What is the test statistic?The standard deviation is known only for the sample, hence the t-distribution is obtain the test statistic.
The test statistic of the t-distribution is given by the equation presented as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which the variables of the equation are given as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the hypotheses.s is the standard deviation of the sample.n is the sample size.For this problem, the values of these parameters are as follows:
[tex]\overline{x} = 4.32, \mu = 4, s = 4.24, n = 600[/tex]
Hence the test statistic is obtained as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{4.32 - 4}{\frac{4.24}{\sqrt{600}}}[/tex]
t = 1.85.
P-value and conclusionThe p-value is obtained using a t-distribution calculator, with a two-tailed test, as we are testing if the mean is different a value, with 600 - 1 = 599 df and t = 1.85, hence it is of 0.0648.
Since the p-value is greater than the significance level of 0.01, it is found that the conclusion regarding the null hypothesis is that it is not rejected, meaning that the sample does not give sufficient evidence to conclude that the population mean is different of 4.
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A rectangle has an area of 14y³ - 63y.
a. What are expressions for the length and width where one dimension is
the GCF?
pls help.
The length and breadth expressions where one dimension is the GCF are; 7y and (2y²-5).
Area of a Rectangle
Given that a rectangle is a two-dimensional shape with one of the dimensions being the GCF, as specified in the question;
Consequently, the length and breadth expressions are 7y and (2y²-5) respectively.
Additionally, the rectangle's area when y=2 is; 14(2³) - 35(2) = 52.
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Order these numbers from least to greatest.
2.9042, 2.9, 4.419, 2.94
(x2 + 3x –9) ÷ (x – 2).
Answer:
Step-by-step explanation:
Question 1-3
Tim and Jessica plan to rent a camper van for a vacation. The van costs $183. 00 per day. The rental includes 120 miles for free and then charges $0. 39 per mile.
Part A
Select the equation that models the cost of the van rental. V in terms of miles traveled m
V= 183 + 0.39(m
120)
O V = 0.39m + (183
- 120)
0 m = 183 + 0.39(V - 120)
0 m = 0.039V + (183 - 120)
Tim and Jessica's vacation budget is to spend a total of $598. 74 for the rental van. Use the equation to determine the number of miles that Tim and Jessica can travel roundtrip on
vacation.
Destination
Boston, MA
Asheville. NC
Nashville. TN
Washington. D.C.
Miles from Rental Company to Destination
1186 miles
593 miles
687 miles
846 miles
Select the destination that Tim and Jessica can go on vacation based on the budget.
O Boston, MA
O
Asheville, NC
Nashville, TN
O Washington, D.C.
The equation that models the cost of the van rental is V = $183 + (m - 120)0.39. (first option)
The number of miles that Tim and Jessica can travel roundtrip on vacation is Ashville MC (second option)
How many miles can they travel?The equation that represents the total cost of renting the camper van is a linear equation. A linear equation is an equation that has single variable that is raised to the power of one.
The general form of a linear equation is: y = mx + b
Where:
m = slope b = interceptThe form of the linear equation is:
total cost = cost of renting the van + [(total miles driven - 120) x cost per mile)
V = $183 + (m - 120) x 0.39
V = $183 + (m - 120)0.39
Total miles that can be driven if they have to spend $598.74
$598.74 = $183 + (m - 120)0.39
$598.74 = $183 + 0.39m - 46.80
$598.74 = $136.20 + 0.39m
$598.74 - $136.20 = 0.39m
$462.54 = 0.39m
m = $462.54 /0.39
m = 1186
Distance Tim and Jessica can travel from the rental company to the destination = 1186 / 2 = 593 miles
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Directions
Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a
brief evaluation of your work.
Activity
In the first Lesson Activity, you derived an equation to model a car wash. The equation is y = 5x - 75. In this activity, you will graph this equation.
Question 1
Is it possible to graph the line that represents this equation by using two points found in the previous Lesson Activity, (15, 0) and (0, -75)? Explain
your answer.
Yes, the graph goes through those two points.
What is Graph?
In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
The points on the graph often represent the relationship between two or more things.
What is linear equation?
A linear equation is an algebraic equation of the form y=mx + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Explanation for the answer:
The equation can be graphed by plotting the two given points and drawing a line through them. Such a graph is shown in the attachment.
You can graph a line for any linear equation from any two points that fit the equation. So you can use the points (0, -75) and (15, 0) to graph the line representing the situation.
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125 square foot to the nearest integer
Solve the following simultaneous equations using substitution
Answer:
the answer is 18 lol....
consider the ellipse given by x^2+xy+2y^2=7. Find the y-coordinate(s) of all points where the ellipse has a vertical tangent line.
The ellipse given by x^2+xy+2y^2=7. The y-coordinate(s) of all points are -11.3, 11.2, -5.665, 5.585 where the ellipse has a vertical tangent line.
Define differentiation.Differentiation is the process of determining a function's derivative. Differentiating algebraic functions, trigonometric functions, and exponential functions are the three fundamental derivatives.
Given,
Ellipse given,
x²+ xy + y ² = 7
Differentiating:
dy/dx
x²+ xy + y² = 7
d/dx(x² + xy + y²) = d/dx(7)
2x + 1y + x dy/dx + 2y dy/dx = 0
dy/dx = 2x + y/ x + 2y
dy/dx = 0
2x + y = 0
x + 2y = 0
Now, we have 2 equations,
x² + xy + y² = 0
y = -2x
Solving equations by substitution method,
x² + x(-2x) + (-2x)² = 7
x² - 2x² + 4x² = 7
3x² = 7
x = ±√21/3
Using y = -2x
Points are:
( -2√21/3 , √21/3) and (2√21/3 , -√21/3)
±√21/3 = ±1.528
x² + xy + y² = 7 [-11.3, 11.2, -5.665, 5.585]}
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12) m/GOP = 80°, m/ROP
and m/ROG= 32x + 4. Find x.
R
Q
= 3 +59x,
G
The angular value of x is 3° as per the given the given information in the question.
What is meant by an angle?An angle in Euclidean geometry is the figure produced by two rays, called the sides of the angle, that have a common termination, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also generated by the intersection of two planes. These are referred to as dihedral angles. Two intersecting curves can also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
Given,
m ∠GQP=80
m ∠RQP=3+59x
m ∠RQG=32x+4
From the figure,
m ∠RQG+ m ∠GQP= m ∠RQP
32x+4+80°=3+59x
27x=81°
x=3°
Therefore, the value of x=3°
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Point KK is located at (-2,-5)(−2,−5) on the coordinate plane. Point KK is reflected over the yy-axis to create point K'K ′ . Point K'K ′ is then reflected over the xx-axis to create point K''K ′′ . What ordered pair describes the location of K''?K ′′ ?
The sign of coordinate of x of a point after the reflection along the y-axis will be interchanged thus the coordinate of K'(2,5).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
The given point K(-2,-5)
If we reflect a point(x,y) along the y-axis then the coordinate after reflection converts as K'(-x,y)
The reflection of K(-2,-5) along the y-axis will be K'(2,5).
Hence "The sign of coordinate of x of a point after the reflection along the y-axis will be interchanged thus the coordinate of K'(2,5)".
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f(x) = 2x^4-8x²+5x-7
x=3
[tex]{ \pink{ \boxed{ \purple{ \sf{f(3) = 98}}}}}[/tex]
Step-by-step explanation:
[tex]{ \blue{ \tt{f(x) = 2 {x}^{4} - 8 {x}^{2} + 5x - 7}}}[/tex]
[tex]{ \blue{ \tt{f(3) = 2( {3})^{4} - 8( {3})^{2} + 5(3) - 7}}}[/tex]
[tex]{ \blue{ \tt{f(3) = 2(81) - 8(9) + 15 - 7}}}[/tex]
[tex]{ \blue{ \tt{f(3) = 162 - 72 + 8}}}[/tex]
[tex]{ \blue{ \tt{f(3) = 162 - 64}}}[/tex]
[tex]{ \red{ \boxed{ \green{ \sf{f(3) = 98}}}}}[/tex]
Lee Holmes deposited $17,000 in a new savings account at 9% interest compounded semiannually. At the beginning of year 4, Lee deposits an additional $42,000 at 9% interest compounded semiannually.
At the end of 6 years, what is the balance in Lee’s account? (Use the Table provided.)
The balance in Lee's account at the end of 6 years is $384,830.53.
What is the balance?The first step is to determine the future value of the initial amount deposited in the savings account.
The formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate = 9% / 2 = 4.50%m = number of compoundingN = number of yearsBalance at the end of 3 years: $17,000 x (1.045)^(3 x2) = $22,138.42
The total value of the account after $42,000 is deposited is:
$42,000 + $22,138.42 = $64,138.42
The future value of $64,138.42 at the end of 6 years is:
Balance at the end of 6 years: $64,138.42 x (1.045)^(3 x2) = $384,830.53
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(−3,y) and (x,2).
y=−2x+2
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Complete the table below.
x y
row 1−3 Answer
row 2 Answer
2
The value of x in the second ordered pair is - 0.5 or - 1/2 and that of y in the first ordered pair is 8.
The given ordered pair is (-3,y) and (x,2)
the equation y=-2x+2
In the first step we put the value of x as -3 as given in (-3,y) in the equation y=-2x+2, we get
y=-2(-3)+2
⇒y=6+2
⇒y=8
So the value of y is 8 then the ordered pair will be (-3,8).
Again, in the second step, we put the value of y as 2 as given in (x,2) in the equation y=-2x+2, and we get
2=-2x+2
⇒2x=2-2
⇒2x=0
⇒x=0
So the value of x is 0, and the ordered pair will be (0,2).
The table:
# Value of x Value of y 1 -3 8 2 0 2I have provided a photo of the table:
If a truck weighs 20% more than a car, then the truck's weight is % of the car's weight.
JMP made a profit of $85,000 last year. If the profit margin increased by 20% this year what is the amount of profit made by JMP
The amount of profit made by JMP is 102000.
Given,
In the question;
JMP made a profit of $85,000 last year.
If the profit margin increased by 20% this year.
To find the amount of profit made by JMP.
Now, According to the question:
Based on the given condition:
Formulate:
= 85000 x (20% + 1)
Calculate;
85000 x (0.2 + 1)
Calculate the sum or difference
85000 x 1.2
= 102000
Hence, The amount of profit made by JMP is 102000.
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What is the equation of the line shown in the graph? Drag and drop the expressions to write the equation of the line in slope-intercept form. Giving Brainlist
y =_+_
Answer:
Step-by-step explanation:
A pack of cards is shuffled and a card is chosen at random.
What is the probability of getting a black card?
Answer:
[tex]\dfrac{1}{2}[/tex]
Step-by-step explanation:
Probability:Number of cards = 52
Number of black cards = 13 (club) + 13 (spade)
= 26
[tex]\sf P(\text{getting a black card})=\dfrac{26}{52}[/tex]
[tex]\sf =\dfrac{1}{2}[/tex]
Describe the graph of g?
The given points gives us a line with constant slope of -2.
What are coordinates?
A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).
The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).
The points are in the form of ( x, y) , where y= g(x)
Plot these points on the graph and join the points through a line.
Refer to the attachment for the graph.
The slope is constant.
consider any 2 points:
(x,y) = (0,7)
(m,n) =(2,3)
Slope = change in y values/ change in x values
= (7-3)/(0-2) = 4/-2 = -2
The given points gives us a line with constant slope of -2.
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Find the values of P and Q in the arithmetic progression: -12, P, Q, 18.
The value of P=2 and Q=8 as in AP, The difference in two terms is equal between all the terms.
What is Arithmetic Progression?A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. Sn = n/2[2a + (n 1) d] is the formula to determine the sum of an arithmetic progression. where an is the first term in the arithmetic progression, n is the total number of terms, and d is the common difference. If there is always the same difference between any two consecutive terms in a series of numbers, that progression is known as an arithmetic progression. Simply put, it means that the previous number in the series is added to determine the next number in the series.
Here,
18--12=30/3=10
P=-12+10
=-2
Q=-2+10
=8
P=2 and Q=8 as in AP, the difference between the two terms is equal for all terms.
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Everyone at Colin's school wore either brown or red for school spirit day. 126 out of the 600 students at the school wore brown. What percentage of the students wore brown?
Write your answer using a percent sign (%).
Answer:
21%
Step-by-step explanation:
126 out of 600=126/600
=0.21 *100 for
21%