Answer:
It's C :)
Step-by-step explanation:
Next time check the y-intercept
Green has a intercept of 1
and purple has -3
Three times the sum of a number and 15 is at most 19
Let x be the number. Then, we have the inequality:
3(x + 15) ≤ 19
Expanding the left side:
3x + 45 ≤ 19
Subtracting 45 from both sides:
3x ≤ -26
Dividing both sides by 3:
x ≤ -8.67
So, the solution to the inequality is x ≤ -8.67, which means that the number x must be less than or equal to -8.67.
A cylinder with a radius of 4 units and a rectangular prism have equal heights, and every plane parallel to the bases intersects both solids in cross-sections of equal area.
A cylinder with a radius of 4 units and a rectangular prism have equal heights.
A rectangular cross section with a length of 8 units is marked on the prism, parallel to the base.
If the length of a rectangular cross-section of the prism is 8 units, then the width of a rectangular cross-section of the prism is
units. Write your answer in terms of π .
The width of the rectangular cross-section of the prism is; 2π units.
Area of a circle and RectangleFrom the task content;
By observation, it follows that the area of a cross section of the cylinder is equal to the area of the cross-section of the rectangular prism.From the problem statement above; it follows that;
πr² = l×w.On this note;
(π) × 4² = 8 × ww = (16× π)/8width, w = 2π units
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If you apply the changes below to the quadratio parent function, f(x) = x2
what is the equation of the new function?
• Shift 1 unit right.
• Vertically stretch by a factor of 5.
• Reflect over the x-axis.
Answer:
\(f(x) = -5(x+1)^2\)
Step-by-step explanation:
We are given the following function:
\(f(x) = x^2\)
Shift 1 unit right.
Shifting a function a units to the right is finding f(x+a). So
To shift one unit right:
\((x+1)^2\)
Vertically stretch by a factor of 5.
To vertically stretch by a factor of 5, we multiply the function by 5. So
\(5(x+1)^2\)
Reflect over the x-axis.
To reflect over the x-axis we multiply the function by -1. So
\(f(x) = -5(x+1)^2\)
The volume of a rectangular prism is 6,618.375 cm3. If the height is 13.25 cm and the length is 27 cm, what is the value of the width?
A: 18.125 cm
B: 18.5 cm
C: 18.75 cm
D: 18.86 cm
The value of width will be;
⇒ 18.5 cm
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The volume of a rectangular prism = 6,618.375 cm³
The height is 13.25 cm and the length is 27 cm.
Now,
We know that,
The volume of rectangular prism = Length x Width x Height
Substitute all the values, we get;
⇒ 6,618.375 = 27 × x × 13.25
⇒ 6,618.375 / 357.75 = x
⇒ x = 18.5 cm
Thus, The value of width = 18.5 cm
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Given a and b are numbers, and a + b = 180, which
statements also must be true?
a = 180 - 6
a - 180 = b
360 = 2a + 2b
a = 90 and b = 90
Complete the table. f(x) = 9 − x2, x < 3 x − 3, x ≥ 3
Answer:
Step-by-step explanation:
can a quadratic function have both a maximum value and a minimum value?
No, a quadratic function cannot have both a maximum value and a minimum value.
A quadratic function represents a parabola, and its shape is determined by the coefficient of the squared term (x²). If the coefficient is positive, the parabola opens upward, and if it is negative, the parabola opens downward. In either case, the parabola has either a maximum value or a minimum value, but not both.
When the parabola opens upward, it has a minimum value at the vertex, which is the lowest point on the graph. Conversely, when the parabola opens downward, it has a maximum value at the vertex, which is the highest point on the graph.
Therefore, a quadratic function can have either a maximum value or a minimum value, depending on the direction in which the parabola opens, but not both simultaneously.
Kindly Heart and 5 Star this answer and especially don't forgot to BRAINLIEST, thanks!Answer:
no it cant
Step-by-step explanation:
4x3 = -5x - 21 solve for x
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown.
What is the smallest possible whole-number length of the unknown side?
Answer:
74 I think
Step-by-step explanation:
What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
I do not understand why the answer is a) for this equation: y'=2y+x. I assumed that the answer is c) or a), because numbers in the equation are positive, but I'm not sure this is the correct method here
The slope field for the differential equation would be D . Graph D .
What are slope fields ?A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .
The length of line segments represents the magnitude, while the direction indicates the sign of the slope.
The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.
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What is the equation of the line that is parallel to the line defined by the equation y = 3x−7 and goes through the point (4, 2)?
Answer:
\(y-2=3(x-4)\)
Step-by-step explanation:
Pre-SolvingWe are given a line contains the point (4, 2).
We also know that the line is parallel to y= 3x - 7.
We want to write the equation of this line.
Parallel lines have the same slopes.
First, let's find the slope of y = 3x - 7.
3 is in the place of where m (the slope) is, so that means it is the slope of that line.
It is also the slope of the line whose equation we want to write.
The equation of the line can be written in three ways:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. Standard form, which is ax+by=c, where a, b, and c are free integer coefficients. a and b cannot be 0, and a is usually non-negative as well. Point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point.All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.
SolvingSubstitute 3 as m in \(y-y_1=m(x-x_1)\).
\(y-y_1=3(x-x_1)\)
Now, substitute 4 as \(x_1\) and 2 as \(y_1\).
\(y-2=3(x-4)\)
Topic: parallel and perpendicular lines
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How much thyme leaves would you need to make 24 servings?
A) 1/12 tsp
B) 3/12 tsp
C) 3/4 tsp
D) 1/4 tsp
Answer:
c
...................
Answer:
3/4 tsp
Step-by-step explanation:
To find out how much thyme you would need, set up a proportion of thyme to servings and solve: 1/4 tsp/8 servings = x tsp/24 servings
Madison’s manicure cost $25.90. She wants to leave a 15% tip. Which of the following is closest to the amount of the tip she wants to leave?
A. $2.00
B. $3.00
C. $4.00
D. $5.00
Answer:
C) $4.00
Step-by-step explanation:
Here's how I did it:
So we're trying to find 15% of $25.90... we can say that the $25.90 is 100% of Madison's Manicure... 100% can also be written as 1.0... why? well if 1.0 is 100%, then we can say any other percentage is proportionate to this... for example... 0.25 is 25% of 1.0... In this case... we are trying to add an additional 15% to the 100% price of the manicure... (Remember... with our proportion we can say that 115% is the same as 1.15) If we take our proportion:
1.15 x 25.90 = 3.89
4.00 is the closest to 3.89
therefore the answer is C) $4.00
Have you ever wondered why a grocery store might pick a certain location to open? They will often pick a prime location because it is equidistant from three large housing developments. This is most likely the right place to open to make the most profit! There are three centers of intersection that occur within a triangle: the circumcenter, incenter, and centroid. Read below about the real-life applications of the incenter and centroid.
Pittsburgh, Pennsylvania is in the shape of a triangle formed by the meeting of two rivers the Allegheny and Monongahela which meet to form the Ohio River. It is a piece of land where the city was formed and became known as the Golden Triangle. A new computer store would like to open in the center of the city. Since the city was formed by a triangle and the computer store would like to maximize profit, they want their new location to be equidistant from each of the three sides of the triangle formed by the city. The incenter of the triangle formed by the city is where the computer store will open up its new location. Why? The incenter is the point in the triangle that has the same distance to each side of the triangle.
You are building a new desk for your room and decide to make it triangular in shape. You want to be able to put chairs on all three sides of the triangle so you want the legs to be in the center of the triangle. This is going to be tricky because you need to find the point where the triangle will balance in the center. This point where the triangle will balance is called the centroid. It is the point where all three medians of the sides of the triangle intersect.
Answer:
The incenter of a triangle is the center of the circle that is inscribed inside the triangle and touches all three sides of the triangle. It is the point in the triangle that is equidistant from all three sides. The incenter is useful in situations where it is important to be equidistant from the sides of a triangle, such as in the example of a store wanting to be in the center of a city that is shaped like a triangle.
Step-by-step explanation:
The centroid of a triangle is the point where the three medians of the triangle intersect. The medians of a triangle are lines that connect each vertex of the triangle to the midpoint of the opposite side. The centroid is also known as the center of mass or balance point of the triangle. It is useful in situations where it is important to find the center of balance of a triangle, such as in the example of building a triangular desk and wanting to place the legs in the center of the triangle.
Which inequality has the solution shown below?
0.3x+8 <3
0.2x+5>2
←++
-18 -17 -16 -15 -14 -13 -12
0.4x +7<1
0.52+6>3
need assistance explain please
Answer:
c
Step-by-step explanation:
thats my final awnser
Jayla is training for the Seaview sprint race she runs the same route in her neighborhood every day and she makes her go on 80% of the time she plans to run every day for the next 10 days how likely that will she make her goal every day
If Jayla makes her goal 80% of the time, we can say that she has a probability of 0.8 of achieving her goal on any given day.
The probability of Jayla making her goal every day for the next 10 days can be calculated by multiplying the probability of her achieving her goal on each day.
Assuming each day's result is independent of the previous day, the probability of Jayla making her goal every day for the next 10 days is:
0.8 x 0.8 x 0.8 x 0.8 x 0.8 x 0.8 x 0.8 x 0.8 x 0.8 x 0.8 = 0.1073741824
So, there is approximately a 10.7% chance that Jayla will make her goal every day for the next 10 days.
3x+(8x-16) simplest form
Step-by-step explanation:
3x × 8x- 3x×16
24x -48x
-24x
The histogram below gives the distribution of test scores for a sample of
students in a school in Alaska. Approximately how many students received a
score between 70.5 and 80?
Answer:
The correct answer is B.
Approximately 200 students received a test score between 70.5 and 80.
What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
Use the step by step process.
1. Joe has a chocolate box whose shape resembles a rectangular prism. Its length is 6 in, height is 2 in and width is 4 in. Find the volume of the box.
2. A gift is packed in a rectangular box (rectangular prism) of dimensions 15 in, 10 in, and 8 in and it needs to be wrapped with gift paper. How much gift paper is required to wrap the gift box?
3. Olivia's mother surprised her with pasta packed in a rectangular prism shaped lunch box. How much quantity of pasta is served to Olivia given that the dimensions of the rectangular prism are as follows:
length= 5 in , width= 4 in, height= 3 in
The volume of Joe chocolate box is 48in³
Showing calculations for Rectangular box1. Volume of Joe chocolate box
Given the following dimensions:
length = 6in
height = 2in
width = 4in
Recall that,
Volume = length x width x height
Volume = 6 in x 4 in x 2 in
Volume = 48in³
2. Gift paper to wrap rectangular gift box
To calculate the amount of gift paper required to wrap the rectangular box, we need to find the surface area of the box.
Recall that,
Surface Area = 2(length x width) + 2(length x height) + 2(width x height)
Surface Area = 2(15 in x 10 in) + 2(15 in x 8 in) + 2(10 in x 8 in)
Surface Area = 300 in² + 240 in² + 160 in²
Surface Area = 700in²
3. Quantity of pasta served to Olivia
To find the quantity of pasta served to Olivia, we need to calculate the volume of the rectangular prism lunch box.
The volume of a rectangular prism can be calculated by multiplying its length, width, and height.
Given the dimensions of the lunch box, we have:
Volume = Length x Width x Height
Volume = 5 in x 4 in x 3 in
Volume = 60in³
Therefore, the quantity of pasta served to Olivia is 60in³
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The weekly salaries (in dollars) for 9 employees of a small business are given below. (Note that these are already ordered from least to greatest.)
547, 596, 647, 655, 737, 745, 750, 780, 834
Send data to calculator
Suppose that the $834 salary changes to $1005. Answer the following.
(a) What happens to the median?
It decreases by $0
$0
O It increases by
It stays the same.
(b) What happens to the mean?
It decreases by $0
It increases by s
It stays the same.
X
Answer:
To answer the question, let's calculate the median and mean of the given salaries.
The median is the middle value when the data is arranged in ascending order. In this case, the middle value is 737 since there are an odd number of values.
The mean is calculated by summing all the values and dividing by the number of values. Let's calculate it:
Sum of salaries = 547 + 596 + 647 + 655 + 737 + 745 + 750 + 780 + 834 = 6591
Number of salaries = 9
Mean = Sum of salaries / Number of salaries = 6591 / 9 = 732.33 (rounded to two decimal places)
Now, let's see what happens when the $834 salary changes to $1005.
(a) What happens to the median?
The median remains the same. Changing one value in the data set does not affect the position of the middle value.
(b) What happens to the mean?
To calculate the new mean, we need to subtract the old value ($834) and add the new value ($1005) to the sum of salaries:
New sum of salaries = 6591 - 834 + 1005 = 6756
New mean = New sum of salaries / Number of salaries = 6756 / 9 = 750.67 (rounded to two decimal places)
Therefore, the mean increases by $18.34.
So, the answer to (a) is "It stays the same" and the answer to (b) is "It increases by $18.34".
Step-by-step explanation:
A line is parallel to y = 4x + 1 and
intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [ ]
Answer:
-2,-5 is the value. The correct Answer
Jason bought a case of Macaroni and Cheese last week for $12.56. This week he bought the same size case for $16.98. What was the percent increase? Round to the nearest percent.
a
26%
b
42%
c
4.42%
d
35%
Answer:
A
Step-by-step explanation:
\( \frac{16.98 - 12.56}{16.98} \times 100 = 26\)
Answer:
35.191083%
Step-by-step explanation:
12.56/100=0.1256 (1%)
That's one percent of 12.56. How much by 0.1256 (1% of 12.56) is 16.98 (rised price)?
I used a two-step equation to get the answer
x*0.1256 = 16.98 /0.1256 /0.1256Divide both sides to get
x = 135.191083Now just subtract 100 because that was the old value
135.191083 - 100 = 35.191083and you get 35.191083. Therefore, the answer is D.
A glass lampshade is in the shape of a right circular cone with radius, r, and slant height, I, as given belowr. = 7.5 inches I = 12.5 inches Which of the following is closest to the surface area of the lampshade? 236 sq. in. o 589 sq. in 0412 sq.in295 sq. in.
we can use this example to solve
we have the value of radious and slant height, then we can replace
\(\begin{gathered} SA=\pi rs+\pi r^2 \\ \\ SA=\pi(7.5)(12.5)+\pi(7.5)^2 \\ \\ SA=93.75\pi+56.25\pi \\ SA=150\pi\approx471.23 \end{gathered}\)then the Suface area of the cone is 471.23 square inches and the closest value is C 412sq in
Which graph represents y as a function of x? please help!! im sorry if not all photos show up
The graph does not represent a function between y and x.
How to check if the graph is a function?A function is a relation that maps inputs x into outputs y, such that each input is mapped into at most one output.
To check if a graph belongs to a function, we need to do the vertical line test, this means that if we draw a vertical line on the coordinate axis where we have the graph, and that vertical line touches the graph at more than one point, then the graph does not represent a function.
In this case, if we draw a line at x = 1 we will intersect the graph twice, then it is not a function.
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Joseph earns $10,000 a month working at a law firm. His monthly living expenses like food and gasoline amount to $3,500. He pays $2,700 for his mortgage. He also has $900 in credit card debt and pays $1,200 toward his auto loan each month. What is Joseph's debt-to-income ratio
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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What’s the 6th term of 23,92,368
Answer:
23552
Step-by-step explanation:
23, 92, 368... is a geometric sequence.
first term = a = 23
common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4
nth term = \(ar^n^-^1\)
6th term = \(23*(4)^6^-^1\)
\(=23*4^5\)
\(=23*1024\)
\(=23552\)
Hope this helps :)
Pls brainliest...