Answer:
\(m=\frac{1}{6}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-5, -4)
Point (1, -3)
Step 2: Find slope m
Substitute: \(m=\frac{-3+4}{1+5}\)Add: \(m=\frac{1}{6}\)Change 3.5 decimal into a percent
Like out of 100? Then it would be 3.5%
The answer you're looking for is: 350%
(Tell me if i'm wrong please)
HEY YOU! can you help me ?❤️
Find the indicated probability using the standard normal distribution.P(Z > -271)=_(Round to four decimal places as needed.)
P(Z > -2.71) = 0.0033641604066692
= 0.003 (to 4 DP)
What is the positive solution to the equation 2x^2 = 72?
Answer:
x= 6
Step-by-step explanation:
6*6=36*2=72
Angelo is 7 years younger than his brother Jayson. If Jayson's age is J, what expression stand's for Angelo's age?
Answer: j-7
Step-by-step explanation:
So Jayson is J
Angelo is 7 years younger than him so j-7
I took a picture of the question
The transformation in the picture is option c Reflection.
Given,
Reflection transformation:
A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.
According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.
Here,
In the picture the transformation is reflection.
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Pls help Darnell is an election officer. On election day, he travels to the polling place, which is 4.4 miles away from his home. On a map of Harrison County, these two places are 8 inches apart. What is the scale of the map? Write your answer in simplest form using whole numbers.
Answer:
The scale of the map is 1 : 34848---------------------------------
Real distance is 4.4 miles and on the map it is 8 inches.
The scale is:
8 in : 4.4 miles = Divide both sides by 81 in : 0.55 milesor
1 in : 0.55 * 63360 in = Convert 1 mile = 63360 inches1 : 34848Write a quadratic function to model the vertical motion for each situation, given h(t) equals negative 16t squared plus v0t+h0. Find the maximum height. Initial velocity 152
The maximum height reached by the ball is 908.5 feet.
Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:
\(h(t) = -16t^2 + 152t + 6\)
This quadratic function models the height of the ball at any time t after it is thrown.
To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:
t = -b / 2a
where a = -16 and b = 152 are the coefficients of the quadratic function.
t = -152 / 2(-16) = 4.75
So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:
\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet
Therefore, the maximum height reached by the ball is 908.5 feet.
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Question
A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0
Which of the following is a term?
A: 17y + 11
B: 6p
C: 7x / 2
D: 1 + 1
Answer:
B
Step-by-step explanation:
A study was commissioned to find the mean weight of the residents in certain town.
The study found the mean weight to be 187 pounds with a margin of error of 3
pounds. Which of the following is not a reasonable value for the true mean weight of
the residents of the town?
The value that is not reasonable for the true mean weight of the residents of the town is 193 pounds
Given that the mean weight is 187 pounds with a margin of error of 3 pounds, we can construct the interval as follows:
Mean weight - Margin of error = 187 - 3 = 184 pounds
Mean weight + Margin of error = 187 + 3 = 190 pounds
So, the reasonable range for the true mean weight of the residents of the town is between 184 and 190 pounds.
Now, let's evaluate the options to identify the value that falls outside this reasonable range:
A. 170 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.
B. 188 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.
C. 193 pounds - This value falls above the upper limit of the reasonable range (190 pounds). Therefore, it is not a reasonable value for the true mean weight.
D. 186 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.
E. 182 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.
From the options provided, the value that is not reasonable for the true mean weight of the residents of the town is 193 pounds.
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help pls my math teacher is rude
Answer:
2.25 or 2 1/4 pounds
Step-by-step explanation:
if you add them all up (I converted them to decimals when adding) you get 13.5 or 13 1/2 if your using fractions, then you divide that by 6 because thats how many jars there are and you get 2.25 or 2 1/4
which graph represents the parabola with the equation y^2=-1/3x
Step-by-step explanation:
The graphs are not give but the graph looks like the above picture.
The Nutty Professor sells cashews for $6.80 per pound and Brazil nuts for $5.50 per pound. How much of each type should be used to make a 33 pound mixture that sells for $5.89 per pound
Answer:
9.9 lb of cashews and 23.1 lb of Brazil nuts
Step-by-step explanation:
cashews×$6.80 + Brazil nuts×5.50 = 33 lb × $5.89
C +B = 33lb
C = 33 - B
(33-B)(6.80) + B(5.50) = $194.37
224.4 - 6.80B + 5.50B = 194.37
-1.3B = -30.03
B = 23.1
C = 33 - 23.1
C = 9.9
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
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The scatterplot above displays the relationship between the amount of food hippopotamuses eat per day and their age. Describe and explain any associations and data features on the scatterplot. Then, use the variables on the graph to interpret the relationship that is shown.
The scatter plot shows a [positive linear] association.
How to determine the association of the scatterplotFrom the question, we have the following parameters that can be used in our computation:
The image of the scatter plot
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values increases
This represents a positive linear association.
Hence, the association is a positive linear association.
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Double the difference of a number n and 3 is -10. Which equation models this "number riddle" correctly?
A. 2 - n - 3 = -10
B. 2(3 - n) = -10
C. 2 (-10) = 3
D. 2(n - 3) = -10
Which ratios form a proportion
Answer:
C
Step-by-step explanation:
To form a proportion, you need two equal ratios.
Divide the numerator by the denominator of all fractions.
Any two fractions that are equal are a proportion.
A.
4/9 = 0.4444...
9/4 = 2.25
Fractions are not equal. Not a proportion.
B.
4/10 = 0.4
10/25 = 0.4
Fractions are equal. Proportion
C.
4/11 = 0.363636...
6/13 = 0.46153846...
Fractions are not equal. Not a proportion.
D.
I can't read the fractions, but do the same I did above.
Divide each numerator by the denominator and compare the decimals. If they are equal its a proportion. If theya re not equal, it is not a proportion.
Find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0. Also, show in the graph.
The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).
Finding the inversion pointTo find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:
Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.
Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.
Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.
Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.
Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).
Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).
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carey correctly graphs a liner function. the slope of the function is -1. the y-intercept is 3. which is careys graph
Carey's graph will be a straight line with a slope of -1 and a y-intercept of 3.
Carey correctly graphs a linear function with a slope of -1 and a y-intercept of 3. A linear function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. The y-intercept is 3, indicating that the graph intersects the y-axis at the point (0, 3).
To plot the graph, Carey starts by marking the point (0, 3) on the graph. Then, for every unit increase in the x-coordinate, Carey moves one unit downward. Similarly, for every unit decrease in the x-coordinate, Carey moves one unit upward. These steps ensure the correct slope of -1.
After connecting the points, Carey will obtain a line that starts at the y-intercept (0, 3) and slants downward, with a slope of -1. The resulting graph will be a straight line extending to both sides of the coordinate plane.
In conclusion, it is represented by the equation y = -x + 3.
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You have recently been hired to survey water park! The park attractions can be found at the locations shown in the table on your grid map. Use this data to answer the questions to follow. Location Ordered Pairs Help Center (2, 3) Large Whirlpool (3, 14) Water Slide #1 (-6, 3) Water Slide #2 (16, 4) Water Slide #3 (-7, 6) Toddler Area (-3, -9) Lazy River (-7, 10) Concessions (6, -6) Gift Shop (8, -9) Restrooms (2, -9) Security Desk (5, 4) After identifying each attraction’s location with ordered pairs, you are now ready to calculate the slope between attractions using the slope formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Now calculate the point between these attractions by applying the midpoint formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Using your slope and end points calculate a linear equation, y = mx + b. and solve for b. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool
Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.
How to calculate the slope between attractions using the slope formula.To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:
Help Center to Water Slide #1:
Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)
Toddler area to Concessions:
Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)
Gift Shop to Restrooms:
Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)
Security desk to Water Slide #2:
Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)
Lazy River to Large Whirlpool:
Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5
Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)
Presently, let's calculate the linear equations for each case:
Help Center to Water Slide #1:
The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.
Toddler area to Concessions:
The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:
-7.5 = (-1/3)(1.5) + b
-7.5 = -0.5 + b
b = -7
Gift Shop to Restrooms:
The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.
Security desk to Water Slide #2:
The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.
Lazy River to Large Whirlpool:
The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:
12 = (2/5)(-2) + b
12 = -4/5 + b
b = 61/5
The Linear equations for each case are as follows:
Help Center to Water Slide #1: y = 3
Toddler area to Concessions: y = (-1/3)x - 7
Gift Shop to Restrooms: y = -9
Security desk to Water Slide #2: y = 4
Lazy River to Large Whirlpool: y = (2/5)x + 61/5
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which expression is equivalent to the following please show your work.
One of the properties of power is the power of a power property:
\((x^a)^b=x^{a\cdot b}\)Then, the given expression is:
\(16x^{15}\)The power of a product property is:
\((a\cdot b)^x=a^x\cdot b^x\)If we apply it to the option D we obtain:
\(\begin{gathered} (4x^6)^2\cdot x^3=4^2\cdot(x^6)^2\cdot x^3 \\ \text{Now} \\ 4^2=4\cdot4=16 \\ \text{And} \\ (x^6)^2=x^{6\cdot2}=x^{12} \\ \text{Then we have:} \\ (4x^6)^2\cdot x^3=16x^{12}\cdot x^3 \end{gathered}\)Finally, let's apply the product of powers property:
\(x^a\cdot x^b=x^{a+b}\)Then, we obtain:
\((4x^6)^2\cdot x^3=16x^{12+3}=16x^{15}\)The answer is option D.
What is the probability of randomly selecting a month pf year and not getting a month that ends in y?
Answer:
2/3
Step-by-step explanation:
The months whose names end in 'y' include Jan, Feb, May, Jul. The probability of randomly selecting a month whose name ends in 'y' is 4/12 (remember that there are 12 months in a year), or 1/3.
Thus, the probability of selecting a month whose name does NOT end in 'y' is 8/12, or 2/3. Note that this event is the 'complement' of the first event:
P(name does not end in 'y') = 1 - P(name does not end in 'y') = 1 - 1/3 = 2/3
You sell 300 shares of Dendreon Corp at $8.89. You purchased the stock at $42.87. How much money did you lose?
O $42.87
O $8.89
$2,667
O $10,194
$12,861
round this number to the decimal place.
Answer:
76.4 ..............................................................................
Preliminary data analyses indicate that you can consider the assumptions for using nonpooled t-procedures satisfied. Researchers obtained data on the number of acute postoperative days in the hospital using the dynamic and static systems. At the 10% significance level, do the data provide sufficient evidence to conclude that the mean number of acute postoperative days in the hospital is smaller with the dynamic system than with the static system?
Answer: hello some data is missing from your question attached below is the missing data
answer :
At 10% significance level ; critical value with the dynamic system = -1.3637
critical value with the static system = - 1.4759
hence the data provided is sufficient evidence that mean number of acute postoperative days in the hospital is smaller with the dynamic system
Step-by-step explanation:
At 10% significance level ; critical value with the dynamic system = -1.3637
critical value with the static system = - 1.4759
hence the data provided is sufficient evidence
Given ∝ = 0.10
i) mean number of dynamic system = ( x1 ) = 7.08
s1 ( std of sample ) = 1.51
sample size = 12
df ( degree of freedom ) = n - 1 = 11
Hence critical value : t∝,11 = -1.3637 ( = T.INV(0.1,11)
ii) mean number of static system
( x2 ) = 11.33
s2 ( std of static sample ) = 3.83
sample size = 6
df( degree of freedom ) = n -1 = 5
critical value = t∝,5 = -1.4759 ( = T.INV(0.1,5) )
What is 2x^2-8x+3=0 using the quadratic formula?
Answer:
\(x = \frac{4 + \sqrt{10} }{2}\)
Step-by-step explanation:
you can also replace the plus sign and put ±
hope this helps and is right :)
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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Given the ellipse represented by the following equation, where are the foci?
VIEW IMAGE
Answer:
A.
Step-by-step explanation:
81 - 16 = 65
81 - 16 = 65
formula c^2 = a^2 - b^2
c^2 = 81 - 16
√c^2 = √ 65
c = √ 65
what is the volume of the composite figure page 512 chapter 11 4
CAN SOMEONE HELP THIS IS DUE IN HOURS
Answer:
-2 cannot be an answer in the context of this question
Step-by-step explanation:
Because the shapes are physical objects, they can NOT have a negative answer as the area. If just the rectangle had -2 as a solution, it would still be viable since the end result would still be positive but since x is also the measure of the square, it is not viable. It is not possible, in this context, to have a negative solution because its a shape's area.