Answer:
80 percent of people don't like the turkey sandwich because 80 plus 20 equals 100 so think about it as a subtraction equation
Answer: 80% of students don't like turkey sandwiches.
Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.
The average velocity from t = 2s to t = 4s would be - 48 ft/s.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.
Average velocity
Average rate of change of velocity with time is called average velocity. Mathematically -
v{avg.} = Δx/Δt .... Eq { 1 }
Δx = x(4) - x(2)
Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}
Δx = - 96
Δt = 4 - 2 = 2
So -
v{avg.} = Δx/Δt = -96/2 = - 48 ft/s
Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.
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Which pair shows 2 equivalent expressions?
A, 3d, d+d+d+3
B. 2g+g-2g,2g
C. 4y, y+y+2y
D. h+h+1, 3h
Answer:
C
Step-by-step explanation:
add each of them all up and you'll see only C 4y = the sum
If a 1/4 of Rihanna's savings is $200 what is her entire savings?
Answer:
800
Step-by-step explanation:
1/4 =200
200+200 =2/4
200+200+200+200 =4/4 = all = 800
Answer:
Step-by-step explanation:
$800
45 medals were given out at a band competition. There were 22 bronze medals and 14 silver medals. The rest were gold medals. What percentage of medals were gold medals?
Answer:
20%
Step-by-step explanation:
45
22 bronze
14 silver
so 45- 22 -14 =9 gold
9/45 = 1/5 =20%
is the line through points p(-8,-10) and q(-5,-12) perpendicular to the line through points r(9,-6) and s(17,-5)
we dunno, hmmm let's check for the slope for PQ
[tex]P(\stackrel{x_1}{-8}~,~\stackrel{y_1}{-10})\qquad Q(\stackrel{x_2}{-5}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{(-8)}}} \implies \cfrac{-12 +10}{-5 +8} \implies \cfrac{ -2 }{ 3 } \implies - \cfrac{2 }{ 3 }[/tex]
keeping in mind that perpendicular lines have negative reciprocal slopes, then if both are truly perpendicular, then line RS will have a slope of
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2} \implies \cfrac{3}{ 2 }}}[/tex]
let's see if that's true
[tex]R(\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\qquad S(\stackrel{x_2}{17}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-5}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{17}-\underset{x_1}{9}}} \implies \cfrac{-5 +6}{8} \implies \cfrac{ 1 }{ 8 } ~~ \bigotimes ~~ \textit{not perpendicular}[/tex]
Answer:
Step-by-step explanation:
No they are not perpendicular.
Perpendicular lines have slopes that are negative reciprocals of each other.
PQ slope = -12 - -10/-5 --8 = -2/3
RS slope = -5 - -6/17 -9 = 1/8
Slope are not negative reciprocals - the lines are not perpendicular.
Slope formula is m = y2 - y1/x2 - x1
Use this to determine slope.
For example if the the slope of RS was 3/2 - the lines would be perpendicular.
1/4y= 5x
Tell whether the equation represents a direct proportion. If so, identify the constant of proportionality.
Yes, the equation 1/4y = 5x represents a direct proportion, and has a constant of proportionality of
How to Identify a Direct Proportion Equation?A direct proportion is defined by the equation, y = kx, where k is the constant of proportionality.
To check if see the equation is a direct proportion, multiply both sides of the equation by 4:
1/4y * 4 = 4 * 5x
y = 20x
This shows that the ratio of y to x is equal to a constant value of 20, so y and x are directly proportional. The constant of proportionality is 20.
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if you graphed the data points in a particular time series and a relatively flat, horizontal pattern was observed, the method that should be used to forecast the next point in the series would be
The correct answer is e, none of the above, as a relatively flat, horizontal pattern indicates the absence of a trend or seasonality making it difficult to use any of the mentioned methods for forecasting.
This type of pattern is commonly referred to as a "stationary time series" and may require different forecasting techniques such as moving averages or ARIMA models.
A stationary time series means that the statistical properties of the series, such as the mean and variance remain constant over time. This type of series may still exhibit random fluctuations and noise that need to be accounted for in the forecasting process. Moving averages are commonly used to smooth out the noise and highlight any underlying patterns in the data.
This question should be provided with answer choices, which are;
a. A horizontal method.b. An alpha method.c. A beta method.d. C trend analysis method.e. None of the above.Learn more about time series brainly.com/question/30698222
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which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.
The boxplot which is reasonable to the summary of the data used to create the histogram is equals to boxplot A. So, correct answer is option (c).
Histogram is a graph which discribes the distribution of data by using of bars of different heights and same width. In this problem, we'll have a histogram and 3 box plots as box plot A, box plot B and box plot C, and we have to choose here which of these 3 box spots is a reasonable summary of the data. We can see that the histogram in above figure is skewed to left because it's maximum data present on the right end. The box plot C, is representing a normally distributed data, but are data is right side distributed so, it is wrong. Similarly, as we see box plot B shows distribution of data in left end, which is also not right choice. So, boxplot A is correct because it's showing the maximum data and the median where we have. We can see the median line over her median on the right hand. Thus, data is very highly negatively skewed hence boxplot A is appropriate.
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Complete question:
See the above figure, which box plot a, b, or c is a reasonable summary of the data used to create the histogram? there are 16 data points.
a) boxplot C
b) boxplot B
c) boxplot A
oscar finally found his dog on the fourth day. if he searched in a for two days and b for two days (not necessarily in that order) what is the probability that he found his dog. alive?
the probability that he found his dog. alive is 15%.
What is probability?
The chance of an event can be calculated using the probability formula by simply dividing the favourable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anything between 0 and 1, as the favourable number of outcomes can never exceed the total number of outcomes. Probability theory is a branch of mathematics that focuses on calculating the likelihood that an event will occur. Probability measures how likely something is to happen.
if he searched in a for two days and b for two days
P(A) = 0.4
P(B) = 0.6
P(Dn D-1 F-1)= n n+2
P(FnA, Sn, F-1) = 0.25
P(FB, S, F-1) = 0.15
Hence the probability that he found his dog. alive is 15%.
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PLEASEEE ANSWER FAST THIS IS TIMED Bernadette throws the javelin for her school’s track and field team. The graph below shows the height and horizontal distance traveled by the javelin for three of Bernadette’s practice throws.
Use the graph to determine the average rate of change over the interval (0,20) for Throw #3. To earn full credit, show your work using a method explained in the Orientation.
Answer:
Step-by-step explanation:
Average ROC is [tex]Change=\frac{f(b)-f(a)}{b-a} \\[/tex] so we need to look at the points (0,20) at 0 our y is 6 and at 20 its 12 so we have (0,6) and (20,12) we now use our formula so we have Change=[tex]\frac{12-6}{20-0} =\frac{6}{20} =\frac{3}{10}[/tex] so our answer is 3/10
(2-square root 3)^2 multiply
A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing, and a medium-size rug requires 12 hours for dyeing. The dyers have to make at least 22 rugs, and they must do it in less than 240 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 22 to create a system that represents this situation?
8x + 12y > 240
12x + 8y > 240
8x + 12y < 240
12x + 8y < 240
The suitable inequality is 8x + 12y < 240
What is an inequality?Inequalities are the relationship two expressions which states that the two expressions are not equal. It is denoted by the symbols like < , >, ≤, ≥.
Given that x equal small rugs and y equals medium rugs.
A company needs 8 hours for dyeing small rugs then, 8x.
And it needs 12 hours for dyeing medium rugs then, 12y.
The company must do 22 rugs less than 240 hours.
So the inequality is 8x + 12y < 240, it is paired with x + y ≥ 22.
Hence the suitable inequality is 8x + 12y < 240.
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What is 5,25 rounded to 2 decimals?
Answer:
5.3
Step-by-step explanation:
so, to round this up we need to look at the number beside 2
5 is always rounded up
so, 5.3
Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result.
Vertex: (-1/3,-1) Point (0, -10/9)
The standard form of the quadratic function with the given vertex is f(x) = 9x² + 6x + 10.
What are Quadratic Functions?Quadratic functions are polynomial functions where the highest degree of the variable is 2..
The general form of a quadratic function is f(x) = ax² + b x + c.
We know that, graph of a quadratic function is parabola.
General equation of a parabola is a(x - h)² + k.
Here (h, k) is the vertex.
Given vertex = (-1/3, -1)
Substituting,
a(x - h)² + k = a(x + 1/3)² - 1
Also we have a point (x, y) = ((0, -10/9)
a(0 + 1/3)² - 1 = -10/9
a/9 - 1 = -10/9
a/9 = -1/9
a = -1
General form is -1(x + 1/3)² - 1 = -1(x² + 2/3 x + 1/9) - 1
= -x² - 2/3 x -10/9
= 9x² + 6x + 10
Hence the standard form of the function is f(x) = 9x² + 6x + 10
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How many different possible outcomes are there if you spim
a spinner labeled Red, Blue, Yellow four times?
The number of different possible outcomes when we spin the spinner is; 81
How to find the number of possible outcomes?The given parameters are:
Spinner section, n = 3 i.e. Red, Blue, Yellow
Number of spins, r = 4
The number of possible outcomes is calculated using the formula for these type of outcomes is:
Number of outcomes = n^r
So we have:
Outcomes = 3⁴
Outcomes = 81
Hence, the number of outcomes is 81
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Pls show your work thank you will mark the Brainliest
Answer:
The answer to the problem is c
When you graph it x+2y <-2
y-x<3 you will get c
equation in point slope from of slope of 0.25 and point of (5,-2)
The equation is correct and the point (5,-2) is on the line.
The point slope equation of a line with slope 0.25 and a point (5,-2) would be y-(-2) = 0.25(x-5). This equation can be rearranged to y = 0.25x - 1.5.
Calculation:
y = 0.25x - 1.5
Plugging in x = 5
y = 0.25(5) - 1.5
y = -2
The point (5,-2) is on the line.
The point slope equation of a line with slope 0.25 and a point (5,-2) can be written as y-(-2) = 0.25(x-5) which can further be rearranged to y = 0.25x - 1.5. This equation can be further tested by plugging in the x value of the point (5) into the equation and the y value of the point (-2) should be obtained. This proves that the equation is correct and the point (5,-2) is on the line.
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enola wants to ride her bicycle 23.8 miles this week. she has already ridden 11 miles. if she rides for 4 more days, write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.
Enola needs to ride 3.2 miles a day
In the given question enola wants to ride her bicycle 23.8 miles this week and she has already ridden 11 miles and if she rides for 4 more days the we have to write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.
The target distance of 23.8 miles can be reached in 4 days if the average rate is x and 11 miles are travelled.
This can be expressed as equation:
4x + 11 = 23.8
Solve it for x:
4x = 23.8 - 11
4x = 12.8
x = 12.8/4
x = 3.2
The value of x is 3.2
So, Enola needs to ride 3.2km
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Zoe plans to do the scarf. She wants the scarf to be more than one but less than 1.5 feet wide, and more than six but less than 8 feet long. Graph all possible dimensions of Zoe scarf. There’s two possible combinations.
On solving the provided question, we can say that the inequality that will be formed is [tex]1\leq x\leq 1.5 and 6\leq y\leq 8[/tex] and Two possible combinations are (1.25.7). (1.35.7.5)
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
the inequality that will be formed is
[tex]1\leq x\leq 1.5\\6\leq y\leq 8[/tex]
Two possible combinations are (1.25.7). (1.35.7.5)
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Pete’s Pizzas charges $5.50 per pizza. Pete spent $200 in supplies to start his business. Write an equation to determine the total Profit, y, he will make after he sells x amount of pizzas.
What is the rage of g(x)?
The graph of f(x) = 1/2(2.5)x and it’s reflection across the x-axis, g(x), are shown.
The range of g(x) is all real numbers less than 0.
An easy definition of a function?
As a set of inputs with one output for each, a function is defined as a relationship between them.
A function, expressed simply, is an association between inputs where each input is connected to one and only one output.
The given function is
f(x) = 1/2(2.5)ˣ
If a graph reflected across x axis, then
(x,y) ⇒ (x, -y )
The function f(x) reflected across x-axis, so
g(X) = -f(x)
g(X) = -1/2(2.5)ˣ
It is an exponential function.
g(x) ⇒ -∞ as x⇒ ∞
g(X) ⇒ 0 as x ⇒ - ∞
Since the value of g(x) lies between ∞ and 0, therefore the range of g(x) is all real numbers less than 0.
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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
A: the x-axis.
B: the y-axis.
C: the line y=6
D: the line x=5
Please answer quickly and correctly thank you
The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given line equations are y=3x-6 and y=-2x+8.
Here, 3x - 6 = -2x + 8
Add 2x to both sides of the equation.
5x - 6 = 8
Add 6 to both sides of the equation.
5x = 14
Divide both sides of the equation by 5.
x = 14/5
Find the y-value where these points intersect by plugging this x-value back into either equation.
y = 3(14/5) - 6
Multiply and simplify.
y = 42/5 - 6
Multiply 6 by (5/5) to get common denominators.
y = 42/5 - 30/5
Subtract and simplify.
y = 12/5
These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.
Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.
Set both equations equal to 0.
(I) 0 = 3x - 6
Add 6 both sides of the equation.
6 = 3x
Divide both sides of the equation by 3.
x = 2
Set the second equation equal to 0.
(II) 0 = -2x + 8
Add 2x to both sides of the equation.
2x = 8
Divide both sides of the equation by 2.
x = 4
The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.
The height of the triangle is 12/5 units.
Formula for the Area of a triangle:
A = 1/2bh
Substitute 2 for b and 14/5 for h.
A = 1/2 ×2 × 12/5
Multiply and simplify.
A = 12/5
Therefore, the area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.
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Answer:
Step-by-step explanation:
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 6.
Event B: The sum is an odd number.
Write your answers as fractions.
The probabilities are given as follows:
Sum greater than 6: 7/12.Sum is an odd number: 1/2.How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
Each dice has six outcomes, hence the total number of outcomes when two dice are rolled is given as follows:
6² = 36.
The possible outcomes for the pair of dice are given as follows:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)We can see a pattern of the sum, even-odd-even-odd and so on, hence the probability of an odd sum is given as follows:
p = 18/36 = 1/2.
For a sum greater than 6, the number of outcomes is given as follows
1 + 2 + 3 + 4 + 5 + 6 = 21.
Hence the probability is of:
p = 21/36
p = 7/12.
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a product is originally priced at $55 and is on sale for 25% off. how much is the discount
Answer: The discount is $13.75, which is found by multiplying the original price by the discount percentage, 0.25.
Step-by-step explanation:
in a certain town, the left-handed:right-handed ratio among children is 1:2. suppose a family has three children. define events: a: the family has children of both handedness b: the family has at most one right-handed child
The probability of the family having at most one right-handed child is [tex](2/3)^3 + 3 * (2/3)^2 * (1/3) = 0.593[/tex].
The probability of event A can be calculated using the formula P(A) = 1 - P(not A). Since the left-handed:right-handed ratio is 1:2, the probability of a child being right-handed is 2/3 and the probability of a child being left-handed is 1/3. Thus, the probability of the family having children of both handedness is[tex]1 - P(not A) = 1 - (2/3)^3 = 0.741[/tex].
The probability of event B can be calculated using the formula P(B) = P(not A) + P(A and B). Since the left-handed:right-handed ratio is 1:2, the probability of a child being right-handed is 2/3 and the probability of a child being left-handed is 1/3. Thus, the probability of the family having at most one right-handed child is[tex](2/3)^3 + 3 * (2/3)^2 * (1/3) = 0.593.[/tex]
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if the probability that a portfolio outperforms its benchmark in any quarter is 0.75, the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to: 0.26 0.42 0.68
The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.
Here,
The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.
Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.
The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1
The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25
The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625
The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625
So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.
The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:
P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³
This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:
P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98
The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.
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Angelique builds a fence. After working for 2 5/6 hours, she has 5/8 of the fence. Can Angelique build the entire fence in 5 hours if she continues to build at the same rate?
PLEASE HELP, FAST!
Answer:
yes
Step-by-step explanation:
working for 2 5/6 hours, she has 5/8 of the fence.
so per hour = 5/8 ÷ 2 5/6 =15/68 per hour
5 hours she'll do: 15/68*5 = 75/68
75 >68
so yes she will finish it
Halp.
What is the ratio of the sides from the big to the small rectangle?
Answer:
2:1
Step-by-step explanation:
We know
To get from F to G, we have to go from -2 to 2, for which the length is 4.
To get from F' to G', we have to go from -2 to 0, for which the length is 2.
What is the ratio of the sides from the big to the small rectangle?
The ratio is 4:2 = 2:1
Evaluate the expression for v = 2 and w = 16.
w − 7|v| =
Answer:
2
Step-by-step explanation:
Substituting v = 2 and w = 16 in the expression w - 7|v|, we get:
w - 7|v| = 16 - 7|2|
We need to evaluate the absolute value of 2, which is simply 2. Therefore, we can simplify the expression as:
16 - 7|2| = 16 - 7(2) = 16 - 14 = 2
So, w - 7|v| = 2 when v = 2 and w = 16.
An image of a rhombus is shown.
What is the area of the rhombus?
The area of the rhombus is 384 cm²
What is the area of Rhombus?The diagonals of a rhombus are the lines that connect the opposite vertices (corners) in the center of the shape. The diagonals of a rhombus are perpendicular and form four right triangles through their intersection
Area of Rhombus = d₁ x d₂
Area of Rhombus = base x height
Given data ,
Let the area of the Rhombus be represented as A
Now , the value of A is
Let the base of the rhombus be B = 20 cm
Let the height of the rhombus be H = 19.2 cm
Now , the area of the rhombus = base x height
Substituting the values in the equation , we get
Area of Rhombus A = 19.2 x 20
Area of Rhombus A = 384 cm²
Hence , the area of the rhombus is 384 cm²
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