Answer:
m= -7
Step-by-step explanation:
using the slope formula, plug in the variables and solve
m=rise/run
m=y2-y1 / x2-x1
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
Answer:
[tex]slope=-7[/tex]
Step-by-step explanation:
Use the slope formula for when you have two points:
[tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]
It is y over x because slope is rise over run : the change in the y-axis over the change in the x-axis. Plug in values:
(-4,6) (-3,-1)
[tex]\frac{-1-6}{-3-(-4)}[/tex]
Simplify
[tex]\frac{-1-6}{-3+4}=\frac{-7}{1}[/tex]
Simplify
[tex]\frac{-7}{1}=-7[/tex]
Done.
Together,Erin and Olivia have 108 magazines. Olivia’s collection has 3 times as many magazines in it as Erin’s collection. How many magazines does Olivia have? How many magazines Erin have
Answer:27
Step-by-step explanation: the equation for this question is 108=3x+x
2. The point (0.28, 0.96) lies on the unit circle. Which of the following is closest to the tangent of an angle
drawn in standard position whose terminal ray passes through this point?
(1) 3.43
(2) 1.73
(3) 0.29
(4) 0.42
Answer:
(1) 3.43
Step-by-step explanation:
tan θ = y / x
tan θ = 0.96 / 0.28
tan θ = 3.43
Option (1) will be the correct option.
Terminal angle:Terminal angle is the angle formed between the initial side and the terminal side (As shown in the figure). Tangent of this angle is the ratio of opposite side and the adjacent side.
[tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
Given in the question,
A point (0.28, 0.96) lies on the unit circle.Terminal angle will be formed between the standard position and the terminal ray passing through the given point.
Hence, [tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(θ) = [tex]\frac{PO}{OA}[/tex]
tan(θ) = [tex]\frac{0.96}{0.28}[/tex]
tan(θ) = 3.43
Therefore, Option (1) will be the correct option.
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Find the value of x.
Answer:
94°
Step-by-step explanation:
The internal angles of a 7-sided shape add up to 900°
[tex]900=90+148+140+136+x+142+150\\x=94[/tex]
Which is the value of this expression when a = negative 2 and b = negative 3?
(Start Fraction 3 a Superscript negative 3 Baseline b squared Over 2 a Superscript negative 1 Baseline b Superscript 0 Baseline End Fraction) squared
Start Fraction 4 Over 9 End Fraction
Answer:
iiiiiiiiiiiiiiiiiiiiiiii believe its 8
Step-by-step explanation:
Answer:
729/64
Step-by-step explanation:
:)
What is the volume of the cone? 20ft in height 16ft in diameter.
Answer:
Approximately 1340.41
Step-by-step explanation:
Answer:
[tex]V = 1340.41[/tex]
Step-by-step explanation:
The formula of the cone is [tex]V=\pi r^{2} \frac{h}{3}[/tex]. r = radius (half of diameter) and h = height. Plug in the numbers and solve the equation.
Tom gets $12 off a box of chocolates that had an original price of $48.What percentage is the discount
Answer:
25 percent
Step-by-step explanation:multiply 48 by .25 it will give you 12 which is the discount hope this helps god bless
Answer:
25%
Step-by-step explanation:
12/48=.25=25%
The dot plot shows how much hairdressers in Margot's area charge for a woman's haircut. The least expensive cut is $25. Margot described the data as having a spread from $25 to $47, seven gaps, a cluster from $35 to $37, and a center of $37. Where did Margot make an error? Price of a Woman's Haircut (in dollars) The spread is from $25 to $46. There are 11 gaps. The cluster is from $36 to $37. The center is at $36
Answer:
The center of the plot is at $36 rather than $37
Center = $ 36
Step-by-step explanation:
The description by Margot is accurate except for the following observation
From the dot plot there are 31 dots, therefore, the center should be at the median mark of the dot plot of the graph which is the 16th dot.
By looking at the dot plot it is observed that both 16th dot and the middle of the cluster are located on the $37.
That is the point where Margot make an error is defining the center as $37, where the center is observed to be $36.
Answer:
36$
Step-by-step explanation:
Just did it.
Find the slope through the points (2,4) and (6,12)
Answer:
The slope is 2
Step-by-step explanation:
Slope = [tex]\frac{rise(changeiny)}{run(changeinx)} =\frac{y2-y1}{x2-x1} =\frac{12-4}{6-2} =\frac{8}{4}[/tex]
8/4 reduces to 2/1 which makes the slope 2
The slope of the line is m = 2.
Explanation
To find the slope through two points, you need to apply the following formula:
[tex]\sf m=\cfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values:
[tex]\sf m=\cfrac{12-4}{6-2}[/tex]
[tex]\sf m=\cfrac{8}{4}[/tex]
[tex]\sf m=2[/tex]
Answer: m = 2The population of Thomasville was 2,460 in 2006, and is growing at an annual rate of 3.5%. This can be modeled by the exponential function f(x) = 2460(1.035) ^x.
How does the function change over the interval from x=2 to x=3?
A. f(x) increases by 3.5%
B. f(x) decreases by 3.5%
C. f(x) increases by a factor of 2460
D. f(x) decreases by a factor of 2460
Answer:
A. f(x) increases by 3.5%
Step-by-step explanation:
Given:
City of Thomasville.
Population in 2006, [tex]P_o[/tex] = 2460
Exponential function, f(x) = 2460(1.035) ^x ...equivalent to [tex]P=P_o(1+r)^t[/tex]
Function change at x = 2, 3
According to the question:
Plugging the values of x= 2 and x=3 we have to find the population at different x.
So,
At x= 2 At x=3
⇒ [tex]P_2=P_o(1+r)^t[/tex] ⇒ [tex]P_3=P_o(1+r)^t[/tex]
⇒ [tex]P_2=2460(1.035)^x[/tex] ⇒ [tex]P_3=2460(1.035)^x[/tex]
⇒ [tex]P_2=2460(1.035)^2[/tex] ⇒ [tex]P_3=2460(1.035)^3[/tex]
⇒ [tex]P_2=2622.4[/tex] ⇒ [tex]P_3=2707.7[/tex]
Percent change :
⇒ [tex]\triangle \% =\frac{Final\ value -Initial\ value}{Initial\ value} \times 100[/tex]
⇒ [tex]\triangle \% = \frac{(P_3-P_2)}{P_2} \times 100[/tex]
⇒ [tex]\triangle \% = \frac{(2707.7-2622.4)}{2622.4} \times 100[/tex]
⇒ [tex]\triangle \% = 3.5[/tex]
So,
The function f(x) increases by 3.5% option A is the right choice.
A banner has a length of 10 feet and an area of 7 square feet. What is the width of the banner?
Answer:
the width is 0.7 feet
Step-by-step explanation:
Well we know that area = length * width. We know both the area and length, but not the width. Let's substitute the area and length in this equation, and substitute x for the width.
7 = 10 * x, or 7 = 10x
Now, solve for the width, or x, by dividing both sides by 10.
7(/10) = 10x(/10)
7/10 = x
Simplify 7/10 = 0.7
So the width of the banner is is 0.7 ft!
A paining measures 2.4 feet from the left to right it's hung on the center of the rectangle or wall measuring to 20 feet from left to right what is the distance between the right edge in the painting of the page of the wall reason that the paining does not tilt
Answer:
the distance between the right edge of the painting and right edge of the wall = 8.8 ft
Step-by-step explanation:
From the question, the painting is hung in center of a rectangular wall and so the distance between them on either side will be the same.
Thus, we will divide the length of the painting and wall by 2 to get 2.4/2 = 1.2 ft and 20/2 = 10 ft .
So, the distance between the right edge of the painting and right edge of the wall will be;
D = 10 - 1.2 = 8.8 ft
8 yd
6 yd
Surface Area?
The surface area of a rectangle can be calculated by multiplying its length by its width. Since the given dimensions are 8yd and 6yd, the surface area, or more accurately the area, would be 48yd2.
The answer is 48yd2.
Surface area in mathematics refers to the total measure of the exposed outer surfaces of a three-dimensional object, like a cube, sphere, or cylinder. It is calculated by finding the sum of the areas of all the individual surfaces. For example, in a cube, you would add the areas of all six square faces. Surface area plays a crucial role in geometry and real-life applications like packaging design and construction. It helps quantify the amount of material needed and aids in solving problems related to shapes and volumes.
The surface area of a rectangular prism (which includes a box or cuboid shape) is found using the formula: 2lw + 2lh + 2wh, where l equals length, w equals width (or breadth), and h equals height. However, if we are dealing with a rectangle, since it's a two-dimensional figure, the surface area would be its area, which can be found with the formula length x width.
In your case, you only provided the length and width so I would assume that we are dealing with a rectangle. Therefore, to find the area, you just need to multiply the length by the width: 8yd x 6yd = 48yd2.
The answer is 48yd2.
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The ticket price for a one way flight from Orlando to Philadelphia is regularly $149 if malia is purchasing a ticket for the day before thanksgiving and the airline marked the ticket price up 72% find the cost of her ticket
Answer:
the ticket will cost 256.28
Step-by-step explanation:
you need to multiply the cost of the ticket 149 by .72 and you get 107.28
then add 149 + 107.28 to get 256.28
Words to know
Write the letter of the definition next to the matching word as you work through the
lesson. You may use the glossary to help you.
midpoint
A. the point on a graph at which the graph
crosses the x-axis
quadratic function
B. in a parabola, the point at which the
function goes from increasing to
decreasing or vice versa
vertex
C. a point on a line segment that is
equidistant from the two endpoints
x-intercept
D. a second-degree polynomial function that
can be written in the form ax? + bx + c,
where a, b, and c are real constants and a
does not equal zero
Answer:
Step-by-step explanation:
A. The extreme point which can be the maximum or minimum is called the vertex.
B. Parabolas increase or decrease which refers to the maximum or minimum.
where a and b are the lengths of two of the sides and C is the included angle. If Upper A equals 14 in squared commaa equals 8 in commab equals 7 in commaand C is an acute angle, what must C be? Give your answer in degrees to the nearest hundredth.
Answer:
[tex]C=40.01^0[/tex]
Step-by-step explanation:
Area =14 Inch squared
a=8 Inch
b = 7 Inch
DEFINITION: An Included Angle is the angle in between two adjacent sides.
Given the lengths of two sides of a triangle and an included angle.
Area of the Triangle, [tex]A=\frac{1}{2}abSinC[/tex]
Substituting the given values:
[tex]A=\frac{1}{2}abSinC\\14=\frac{1}{2}*8*7*SinC\\18=28*Sin C\\Sin C =\frac{18}{28}\\ C=arcsin (\frac{18}{28})=40.01^0[/tex]
Angle C is 40.01 degrees to the nearest hundredth.
Suppose the Marshall Islands have an area of about 70 square miles. Suppose a rectangle, with sides x and 2x + 4, has an area of 70 square miles. Find the value of x?
Answer:
The value of x is 5.
Step-by-step explanation:
We are given the following in the question:
Area of rectangle = 70 square miles
The sides of the rectangle are:
[tex]w = x, l = (2x+4)[/tex]
Area of rectangle =
[tex]A = l\times w[/tex]
Putting values, we get.
[tex]70 = (2x+4)x\\\Rightarrow 2x^2 + 4x - 70 = 0 \\\Rightarrow 2(x + 7)(x - 5) = 0\\\Rightarrow (x+7) = 0, (x-5) = 0\\\Rightarrow x = -7, x = 5[/tex]
Since, the value of x cannot be negative as it represents side of a rectangle.
Thus, the value of x is 5.
Solve the problems 11-4 times
Answer:
12 45 67 88 90
Step-by-step explanation:
Vince worked 675 hours in 15 weeks. At what rate did he work in hours per week?
Answer:
45 hours a week
Step-by-step explanation:
Ok, so we know that he worked 675 hours in 15 weeks.
So all we need to do is divide the hours by the amount of weeks, which is 15:
675/15= 45
So he worked 45 hours a week!
Jose completes 2 assignments per day and already completed 5 assignments. He needs to complete a total of 15 assignments. What is the equation matching this scenario?
Answer: 15 = 2x + 5
Step-by-step explanation:
15 = total
x = days
2 = assignments per day / growth
5 = already done / y-intercept
The mean length of a candy bar is 43 millimeters. There is concern that the settings of the machine cutting the bars have changed. Test the claim at the 0.02 level that there has been no change in the mean length. The alternate hypothesis is that there has been a change. Twelve bars (n = 12) were selected at random and their lengths recorded. The lengths are (in millimeters) 42, 39, 42, 45, 43, 40, 39, 41, 40, 42, 43, and 42. The mean of the sample is 41.5 and the standard deviation is 1.784. Computed t = -2.913. Has there been a statistically significant change in the mean length of the bars?
Yes, because the computed t lies in the rejection region.
No, because the information given is not complete.
No, because the computed t lies in the area to the right of -2.718.
Yes, because 43 is greater than 41.5.
There has been a statistically significant change in the mean length of the candy bars since the computed t value, -2.913, is less than the critical t value of -2.718. Therefore, we reject the null hypothesis that the mean length has not changed.
Explanation:A hypothesis test is performed to test the claim at the 0.02 level that there has been no change in the mean length of candy bars. The null hypothesis is that the mean length remains 43mm, as given. The alternate hypothesis is that the mean length has changed. A sample of twelve bars is taken and with the given data, the computed t value is -2.913.
For a two-tailed test at the 0.02 significance level and degrees of freedom (n-1) equals 11, the critical t values are -2.718 and 2.718. If the computed t value falls beyond this range, that is, below -2.718 or above 2.718, we reject the null hypothesis. In this case, -2.913 is less than -2.718
Therefore, there has been a statistically significant change in the mean length of the bars as the t value lies in the rejection region.
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The correct option is Yes, because the computed t lies in the rejection region. The t-test analysis indicates a statistically significant change in the mean length of candy bars based on the computed t-value falling in the rejection region.
Null Hypothesis (H0): The mean length of the candy bars is 43 mm.
Alternate Hypothesis (Ha): There has been a change in the mean length of the candy bars.
T-Test Analysis: The computed t-value of -2.913 falls in the rejection region, indicating statistical significance, therefore rejecting the null hypothesis. Hence, there has been a statistically significant change in the mean length of the bars.
Which of the following is correct about a probability distribution? Select one: a. The sum of all probabilities of possible outcomes must equal 1.0. b. The outcomes must be mutually exclusive. c. The probability of each outcome must be between 0.0 and 1.0 inclusive d. All of these answers are correct
Answer: All of the answers are correct.
Step-by-step explanation:
A probability distribution is the collection of probabilities which defines the likelihood of observing all the various outcomes of an experiment or event. A probability distribution has two main properties which are that:
• Each probability in the distribution consist of a value between 0 and 1.
• The sum of all probabilities in the distribution equals 1.
Also, in probability, an outcome is the possible result of an experiment and each possible outcome gotten is unique, therefore the different outcomes are mutually exclusive i.e. only one outcome can occur on each trial during the experiment.
The sum of all probabilities of possible outcomes in a probability distribution must equal 1.0, and the probability of each outcome must be between 0.0 and 1.0, inclusive.
A probability distribution is a function that assigns probabilities to all possible outcomes of an experiment. The correct statement about a probability distribution is that the sum of all probabilities of possible outcomes must equal 1.0. This is known as the axiom of probability. In addition, the probabilities of each outcome must be between 0.0 and 1.0, inclusive. This ensures that probabilities are valid and within the appropriate range. The outcomes themselves do not have to be mutually exclusive; they can overlap or have common elements.
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How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
I think it's 5/21.
Step-by-step explanation:
1/3=7/21
3/7=9/21
7/21+9/21=16/21
21/21-16/21=5/21
5/21 can't be reduced.
5/21+7/21+9/21=21/21 or 1
Gideon wants to buy a new video game from the store. They are having a sale on all games, and sell the game at a 15% discount. He also has a club card with the store, and gets additional 5% off the sale price. If the original price of the game is $28.00, what is the final sale price that Gideon will pay?
Answer:
5%+15%=20%
to find 20% of 28 u multiply 28 x 0.2= 5.6
so to remove the 20% since it's 20% off u subtract 5.6 from 28
28-5.6= 22.4
Step-by-step explanation:
what is the ratio of the areas between a 16” pizza and a 12” pizza
Step-by-step explanation:
Ratio of pizza =
16 : 12 = 8 : 6 = 4 : 3
Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of the red prism is one third that of the blue prism. Which statement is true?
Answer:
D)The height of the red prism is three times the height of the blue prism
Step-by-step explanation:
Here is the complete question
Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.
which statement is true?
a)The height of the red prism is one-third the height of the blue prism
B)The height of the red prism is the same as the height of the blue prism
C)The height of the red prism is six times the height of the blue prism.
D)The height of the red prism is three times the height of the blue prism
Solution
Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂
A₂h₁/3 = A₂h₂
h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.
Answer:
D
Step-by-step explanation:
I NEED HELP SO BAD I WILL GIVE CROWN
A mechanic had 412 gallons of motor oil at the start of the day. At the end of the day, only 5 pints remained.
How many pints of motor oil did the mechanic use during the day?
4 pt
13 pt
19 pt
31 pt
if you flip 3 coins what is h the probability you’ll get 2 tail and 1 head in any order?
Answer:
If you flip three fair coins,what is the probability that you'll get heads on the first two flips and tails on the last flip? So I have 3 coins and I flip them ... If H = Heads and T = Tails, your possible outcomes are. HHH. HHT. HTH. THH. HTT ... So, the probability of HHT is 1/8 = 0.125 = 12.5%. Upvote • 0 Downvote.
Step-by-step explanation:
A package of Oreos has 36 cookies 89 cookies what is the percentage of the cookies that are left in the package
Answer:
40.44%
Step-by-step explanation:
I'm assuming you meant to say a package of oreos has 36 cookies out of 89 cookies.
To figure out percentage:
Has #/Out of # = Decimal * 100(add a % at the end)
36/89 = 0.4044 * 100 = 40.44%
Rewrite the following equation in slope-intercept form.
2x – 19y = -4.
Reduce the equation 5x+7y-35=0 to slope-intercept form, ... Feasible region (shaded) for a LPP is shown in following figure. ... Write the normal form of the equation of the plane 2x-3y+6z+ ... 8^-3x^7y^-11/5x^-19y^17z^-14.
Hope I helped! :)
Suppose your parents started saving for your college education when you were 5 years old. Assume they saved $300 the first year, $325 the second year, $350 the third year, and so on increasing each year contribution by $25 if you are 17 in the last year of contribution how much will have been saved in all ?
Answer:
$575
Step-by-step explanation:
the explanation is in the picture
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