Answer: 70%
Step-by-step explanation:
3 /4 + 1 /6 − 2/ 3 =
Answer:
Step-by-step explanation:
Answer: 1/4
Add: 3/4 + 1/6 = 3 · 3 / 4 · 3 + 1 · 2 / 6 · 2 = 9/12 + 2/12 = 9 + 2/12 = 11/12
Subtract: 1 - 2/3 = 11/12 - 2/3 = 11/12 - 2 · 4 / 3 · 4 = 11/12 - 8/12 = 11 - 8/12 = 3/12 = 3 · 1 / 3 · 4 = 1/4
Find intervals of concavity for f(x) = 3 cos x, with 0 < x < 21. Show your work for full credit.
The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).
To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.
First, let's find the second derivative of f(x):
f'(x) = -3 sin x (derivative of cos x)
f''(x) = -3 cos x (derivative of -3 sin x)
Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:
When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.
When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
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If F is a linear function for which F(2)=6 and F(-6)=-2, what is the linear function?
Answer:
in the first equation f(2)=6 is f=3
In second place the answer of that equation is f=1/3
Select the correct answer.
Find the solution(s) for x in the equation below.
x(x - 1) = 42
А. x = -7; x = -6
B. x = 7; x = 6
C. x = 7; x = -6
D. x = 6
Answer:
7 and -6 (corresponding to Answer C)
Step-by-step explanation:
Solve x(x - 1) = 42 for x.
To do this, first perform the indicated multiplication and then rearrange the terms in standard quadratic function order:
x^2 - x - 42 = 0
Factoring yields (x - 7)(x + 6) = 0,
leadng to roots 7 and -6 (corresponding to Answer C)
Can someone help me pelase?? 20
Answer:
\(y=2x-2\)
Step-by-step explanation:
Because the coordinates for x = 0 is (0,-2) so that's your y- intercept.
Then if you all you have to do is make sure that you have the correct slope.
So i just made a table on paper and started going up and seeing what slope i'd need to match the table on the screen.
\(2(0)-2=-2\\2(1)-2=0\\2(2)-2=2\\2(3)-2=4\)
pls help asap if you can!
The coordinates of B' are given as follows:
B'(12, -9).
What is a dilation?A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.
The coordinates of B are given as follows:
B(4, -3).
The scale factor is given as follows:
k = 3.
Hence the coordinates of B' are given as follows:
B'(12, -9).
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The coordinates of B' include the following: D. (12, -9).
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the dimensions (size) or side lengths of a geometric object, but not its shape.
This ultimately implies that, the dimensions (size) or side lengths of the dilated geometric object would increase or decrease depending on the scale factor applied.
In this scenario and exercise, we would have to dilate the coordinates of the pre-image (triangle ABC) by using a scale factor of 3 centered at the origin in order to determine B' as follows:
Coordinate B (4, -3) → (4 × 3, -3 × 3) = X' (12, -9).
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The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale.
He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. How
many digits should he use?
1
3
4
Answer:
WARNING! THE PERSON ABOVE ME IS WRONG.
The correct answer is 3. (C)
ED2021
Telling the managers in each of the 5 departments to randomly select 10 people to take the survey.
What is a random sample?An unprejudiced portion of a population is chosen in a simple random sampling. With this sampling technique, the possibility of selection bias is reduced because every person of the population has an exact equal probability of being chosen.
A simple random sample is a group of people chosen at random, all with the same probability, from a larger group of people in statistics. It involves a method of randomly choosing a sample.
Random sampling assures that the results of sample should be close to those that would have been found if the complete population had been measured. With the simplest random sample, each unit in the population has an equal probability of being chosen.
Therefore, Option B is correct.
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what is the gcf of 10 26 and 38
Answer: the gcf is 2
Step-by-step explanation:
There boom your anwser
Triangle X has two angles that measure 80° and 30°. Triangle Y has two angles
that measure 80° and 70°. Hannah says that triangles X and Y are not similar.
Jasmine says they are similar. Who is correct? Explain. HELPPP PLEASE
Answer:
Jasmine is correct. The triangles are similar.
Step-by-step explanation:
Triangle that have the same angle measurements are similar.
The sum of the interior angles of a triangle add up to 180
Triangle x has angles that measure 80 and 30. That totals 110. The third angle must be 70 so that it adds up to 180.
Triangle Y has angels that measure 80 and 70. That adds up to 150, that means that its third angles must be 30
Both triangles have angle measurements to 80, 70, and 30 so they are similar.
What is the length of the hypotenuse?
Answer:
13m
Step-by-step explanation:
pls mrk me brainliest
if someone repeatedly lifts heavy weights, that person will produce higher levels of maximal strength. what is this an example of?
The given statement is an example of "Principle of specificity or specific adaption to imposed demands (SAID Principle) ".
What is Principle of specificity ?
According to the specificity of training principle, each physical activity has a very unique physiological response. For instance, someone who jogs can anticipate that both their running performance and their level of aerobic fitness will be favorable.
if someone repeatedly lifts heavy weights, that person will produce higher levels of maximal strength.
This an example of "Principle of specificity or specific adaption to imposed demands (SAID Principle) "
Tenet according to which the body will adjust to the unique demands imposed upon it.
Higher degrees of endurance can be attained by regularly lifting lesser weights for a large number of repetitions.
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TIME SERIES models attempt to predict the future by using historical data.
a. true b. false
The given statement is true because Time series models are statistical models that analyze and predict future values based on patterns and trends observed in historical data. Option A
The underlying assumption of time series analysis is that the future values of a variable can be predicted based on its past behavior. By examining the historical data, time series models identify patterns, trends, and seasonal variations that can help forecast future values.
There are various types of time series models, including autoregressive integrated moving average (ARIMA), exponential smoothing models, and seasonal decomposition of time series (STL). These models use different mathematical techniques to capture and analyze different aspects of the time series data.
The main goal of time series analysis is to make accurate predictions or forecasts of future values. By leveraging the patterns and trends observed in the historical data, these models provide insights into potential future outcomes.
Time series models are widely used in fields such as economics, finance, meteorology, stock market analysis, and demand forecasting, among others.
Option A
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When we solve an exponential equation of the form: ^() = ^(), for the first step we usually do () = (). Why can we do this? What property of the exponential function is used?
Answer:
Its because of PEDMAS or PEMDAS (either or)
Step-by-step explanation:
in PEDMAS its Parentheses, exponents, division, multiplication, addition and then subtraction.
You do them by order, meaning that since parentheses is before exponents in PEDMAS its always just going to be before.
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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Why do waves move faster at higher temperatures and in a solid phase?
There is more energy and the particles are farther apart.
There is less energy and the particles are closer together.
There is less energy and the particles are farther apart.
O There is more energy and the particles are closer together.
Answer:
its d
Step-by-step explanation: im taking the quiz right now and this is what i chose i am 100% sure that this is the answer! Hope this helps!
The waves move faster at higher temperatures and in a solid phase because there is more energy and the particles are closer together.
What is Energy?Energy is a quantifiable quality that may be imparted to a body or a physical system and is visible in the way things work as well as in the way that things radiate heat and light.
Higher temperatures imply more energy, and particles are close together in a solid phase.
As a result, highly energetic particles collide with nearby particles, which then collide with further particles.
Higher temperatures cause waves to move more quickly; in a solid phase, more energy is there but the particles are farther apart.
less energy is present but the particles are closer together; more energy is present but the particles are farther apart.
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The function t(x) = 4x -2 determines how many cans of vegetables a food truck needs to stock on board, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on vegetables. The function c(x) = x + 9. Solve for how much money must be spent when the crew is going to work 2 shifts.
Answer:
\(t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15\)
What is the area of the figure?
6 cm
5 cm
4 cm
4 cm
2cm
Answer: 108
Step-by-step explanation:
i just did it
During a winter storm, the temperature on the top of a
mountain changed an average of -2.5°C every hour
for 12 hours. At noon, the temperature was -5°C.
During the same time period, the temperature at the
bottom of the mountain changed at the rate of
temperature change on the top of the mountain.
What is the hourly rate of temperature change at the bottom of the mountain ?
According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
What is the average rate of change?
The average rate of change of a function is given by the change in the output divided by the change in the input.
In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
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HELP PLEASE i’m vvv confused
Answer:
6
Step-by-step explanation:
Pythagorean Theorem:
a^2 + b^2 = c^2
5^2 + b^2 = sqrt61^2
25 +b^2 = 61 (sqrt and ^2 cancel out)
-25 from both sides
b^2 = 36
sqrt from both sides
b= 6
Answer:
6 feet
Step-by-step explanation:
a^2+b^2=c^2
a^2+5^2=\(\sqrt{61\\}\)^2
a^2=61-25
a^2=\(\sqrt{36}\)
a=6
Let me know if u need further explanation!
The length of the smallest side (or leg) of a right triangle is 18. The lengths of the
other two sides are consecutive even integers. Use the Pythagorean theorem to solve
tor the smaller of the two missing sides (the second leg).
Length οf the smaller οf the twο missing sides (the secοnd leg) is 80
What is Pythagοrean theοrem?In mathematics, the Pythagοrean theοrem οr Pythagοras' theοrem is a fundamental relatiοn in Euclidean geοmetry between the three sides οf a right triangle. It states that the area οf the square whοse side is the hypοtenuse (the side οppοsite the right angle) is equal tο the sum οf the areas οf the squares οn the οther twο sides.
Let x be the length οf the smaller οf the twο missing sides (the secοnd leg). Then the length οf the larger missing side (the hypοtenuse) is (x + 2), since the twο sides are cοnsecutive even integers.
By the Pythagοrean theοrem, we have:
\(18^2 + x^2 = (x + 2)^2\)
Simplifying and expanding the right side, we get:
\(324 + x^2 = x^2 + 4x + 4\)
Subtracting x^2 frοm bοth sides, we get:
324 = 4x + 4
Subtracting 4 frοm bοth sides, we get:
320 = 4x
Dividing bοth sides by 4, we get:
x = 80
Therefοre, the length οf the smaller οf the twο missing sides (the secοnd leg) is 80.
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In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side
Answer:
AB is shortest side
Step-by-step explanation:
According to given question circuit represented as,
From the images
\(cos 30^0=\frac{BC}{38} \\0.86=\frac{BC}{38} \\BC=32.68 cm\)
Now,
\(sin 30^0=\frac{AB}{38} \\0.5=\frac{AB}{38} \\AB=19 cm\)
Therefore, AB is shortest side
In the collection of clocks at Dr. Zadok's Museum, 28% run on electrical power, 45% have alarms, and 54% either run on electrical power or have alarms. If a clock is selected at random, what is the probability that it runs on electrical power and has an alarm?
The probability that it runs on electrical power and has an alarm is 0.54.
In the collection of clocks at Dr. Zadok's Museum, 28% run on electrical power, 45% have alarms, and 54% either run on electrical power or have alarms.
The number of clocks that do not meet both requirements (i.e., those that do not operate on electrical power or do not have alarms) can be subtracted from the total number of clocks in order to get the number of clocks that do so:
The probability that it runs on electrical power and has an alarm is calculated as,
P = 54 / 100
P = 0.54
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Solve.
3.5 x (5.8 - 7.09) =
Answer:
-4.515
Step-by-step explanation:
3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515
Can someone please help solve this? Could you also show the formula as to how it is solved?
Step-by-step explanation:
the opposite side is AC
a teacher must select four members of the math club to participate in an upcoming competition. how many ways are there for her to make her selection if the club has 12 members?
The teacher has to select four members out of a math club of twelve members. There are 495 possible ways for her to make the selection.
To determine the number of ways the teacher can select four members from a math club of twelve, we can use the concept of combinations. A combination is a selection of items without regard to the order in which they are chosen. In this case, the teacher needs to select four members, and the order in which they are chosen does not matter.
The formula for calculating combinations is given by "n choose k," which is denoted as C(n, k) or nCk. In this case, the teacher needs to choose four members out of twelve, so the calculation would be 12C4.
Using the formula for combinations, 12C4 = 12! / (4!(12-4)!), where "!" represents the factorial function. Simplifying the expression gives us 12! / (4!8!).
The factorial function represents the product of all positive integers up to a given number. So, 12! is equal to 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1.
Simplifying further, we have 12! / (4!8!) = (12 × 11 × 10 × 9) / (4 × 3 × 2 × 1).
Calculating the expression gives us (11880) / (24) = 495.
Therefore, there are 495 possible ways for the teacher to make her selection of four members from the math club of twelve.
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the angle of depression of top of a pole of
Answer:
Didn't finish sorry. I wish I could help.
Solve for x and illustrate your Solution on a number line a) x²-3x - 10 ≤0
Answer:
x>2
Step-by-step explanation:
A fruit punch recipe uses 4 cups of orange juice for every 1 cup of cranberry juice. Select the
statement about the recipe that is true
a The ratio of orange to cranberry juice is 4:5.
b. The ratio of cranberry to total fruit juice is 1:4.
The ratio of cranberry to orange juice is 1:4.
d. The ratio of orange to cranberry juice is 1:4.
Answer:
Step-by-step explanation:
A fruit punch recipe uses 4 cups of orange juice for EVERY 1 cup of cranberry juice.
This means that if i wanted 2 cups of cranberry juice, i also need double the amount of orange juice, which would be 8 cups.
In this way we can say the ratio of orange juice to cranberry juice would be 4:1.
This is the same as saying for every 1 cup cranberry juice, we need 4 cups orange juice . This is written as 1:4
Estimate the quotient. 485 ÷ 68
Answer:
485÷68=7.13=7
Step-by-step explanation:
fisrt you must divided 485÷68=7.13=7
A procedure used to compare more than two groups of scores, each of which is from an entirely separate group of people is called a(n); A) analysis of variance B) analysis of mean scores C) t test for independent means D) Z test for three groups
A procedure used to compare more than two groups of scores, each of which is from an entirely separate group of people is called an analysis of variance.
The correct option is (A) analysis of variance (ANOVA).
ANOVA is a statistical method used to compare the means of two or more groups. It is a useful technique for analyzing data in experiments where multiple groups are being compared.
The purpose of ANOVA is to determine whether the means of the groups are significantly different from each other or not.
ANOVA works by comparing the variation between groups with the variation within groups. The ratio of these two variations is known as the F-ratio.
If the F-ratio is large enough, then it suggests that the variation between groups is significant and that the means are significantly different from each other.
ANOVA can be used in a wide variety of settings, including in clinical trials, psychology experiments, and business research. It is particularly useful in experimental designs where there are multiple treatment groups, such as in randomized controlled trials.
There are several types of ANOVA, including one-way ANOVA, two-way ANOVA, and repeated measures ANOVA. The choice of which ANOVA to use depends on the specific research question and design.
In conclusion, ANOVA is a powerful statistical method used to compare the means of two or more groups. It is a useful technique for analyzing data in a wide range of fields and can provide valuable insights into the differences between groups.
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