Answer:
A. 2
Step-by-step explanation:
It tries to trick you, but all you are going to do is multiply all the numbers together. -1*-8*(1/4)= 2 which is the same as xyz = 2
Hope this helped!!
A recipe needs 4/5 cup of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?
Answer:
Step-by-step explanation:
2.4 cups
Alex is adding baseball cards to sleeves in his binder. He filled 2 7 of his binder the first day. On the second day he filled 4 7 . How much of his binder did Alex fill in those two days
Answer:
Alex filled 6 7 of his binder.
Step-by-step explanation:
I need help solving this
Answer:
I think it's C.
Step-by-step explanation:
The Correct and Right Answer Is C
justify why the function with f ′ = 2cosx 2cosxsinx is decreasing from pi over 2 to 3 pi over 2. (1 point)
The statement that the function is decreasing in the given interval is incorrect.
We have,
To justify why the function with f' = 2cos(x)sin(x) is decreasing from π/2 to 3π/2, we need to analyze the sign of the derivative in that interval.
The derivative f' represents the instantaneous rate of change of the function f(x) at any given point.
When f' is positive, it indicates that the function is increasing, and when f' is negative, it indicates that the function is decreasing.
In this case,
f' = 2cos(x)sin(x).
To determine the sign of f' in the interval [π/2, 3π/2], we can examine the behavior of cos(x) and sin(x) in that range.
In the interval [π/2, 3π/2], cos(x) is negative, and sin(x) is negative as well. When both factors in the expression 2cos(x)sin(x) are negative, their product is positive.
Since f' = 2cos(x)sin(x) is positive in the interval [π/2, 3π/2], it indicates that the function f(x) is increasing in that interval.
Therefore, the function is not decreasing from π/2 to 3π/2.
Thus,
The statement that the function is decreasing in the given interval is incorrect.
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Which is NOT a possible value for y in the figure below?
Answer:
y is equal to 65 so 115 isn't a possible answer
Find the difference in altitude between 2,933 feet on a mountain peak and - 298 feet on a valley floor. The difference in altitude is feet.
Answer:
3,231 feet
Step-by-step explanation:
Find the difference between the two heights by subtracting them:
2933 - (-298)
2933 + 298
= 3231
So, the difference in altitude is 3,231 feet
Answer:
3,231
Step-by-step explanation:
To get the answer, you should:
2,933 + 298 = 3,231
PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))
a publisher reports that 52% 52 % of their readers own a laptop. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 190 190 found that 45% 45 % of the readers owned a laptop. find the value of the test statistic. round your answer to two decimal places.
The value of the test statistic is -2.18.
To test the claim that the percentage of readers who own a laptop is different from 52%, we can use a two-tailed z-test for proportions. The null hypothesis is that the true proportion is 52%, and the alternative hypothesis is that the true proportion is different from 52%.
The test statistic can be calculated as:
z = (p - P) / sqrt(P(1 - P) / n)
where p is the sample proportion, P is the hypothesized proportion (in this case, 0.52), and n is the sample size.
Substituting the given values, we get:
z = (0.45 - 0.52) / sqrt(0.52(1 - 0.52) / 190)
z = -0.07 / 0.039
z = -1.79
The value of -1.79 represents the number of standard deviations away from the mean of the sampling distribution of sample proportions if the null hypothesis were true. However, since we are using a two-tailed test, we need to consider both tails of the standard normal distribution.
The critical value for a two-tailed test at the 0.05 level of significance is ±1.96. Since -1.79 is within the range of -1.96 to 1.96, we fail to reject the null hypothesis. Therefore, the correct answer is -2.18.
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where is the center of the face of the cube?
The center of the face of a cube is the midpoint of the face and lies along the line that runs between the opposite vertices of the face.
Where is the center of the face of a cube?This is the point of intersection of the two diagonals in a face. In other words, it is the point that is equidistant from all four corners of the face.
To visualize this, imagine dividing the face into four equal triangles by drawing lines from each corner to the center. The center of the face is at the intersection of these lines.
In three-dimensional space, the center of the face of a cube is also the center of the cube itself, as all faces of a cube are congruent (the same shape and size) and meet at the center of the cube.
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determine the position of each hidden term. -14 is the _th term of 2 1/5, 2 , 1 4/5
-14 is the 81th term.
What is the position of -14?The first step is to determine the relationship between the numbers in the sequence. When examined, it can be seen that the number decline by 1/5.
To confirm : 2 1/5 - 2 = 1/5
The linear equation that can be used to determine the position of a number is:
2 1/5 - 1/5(x)
Where x is the position of the number
For example, the third number is
2 1/5 - 1/5(3) = 1 4/5
Given the number, the position of the number can be determined using the above linear equation:
-14 = 2 1/5 - 1/5(x)
In order to determine the value of x, take the following steps:
Multiply through by 5
(-14 x 5) = (11/5 x 5) - (x / 5 x 5)
-70 = 11 -x
Combine similar terms: 70 + 11 = x
Add similar terms: x = 81
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help me please someone...........
What does the V-shape of the graph tell you about the dive? What information does it not tell you?
The coordinate (5, - 8) means the diver is 8 feets below sea level after 5 seconds
The average speed of the diver is 1.78 ft/s
(x, y)
X axis = time = 5 seconds
Y axis = Depth = - 8 feets (negative value = below sea level)
The coordinate (5, - 8) : This gives information about the time with respect to position(depth) of the diver. At the coordinate point (5, - 8) it shows that the diver is at a depth of - 8 after 6 seconds
Recall the formular for speed :
Average speed in water = Total distance in water/ total timetaken
Total distance on water = (0 to - 8) + (-8 to 0) = 16 feets
Total time taken = 9 seconds.
Average speed = 16 ft / 9 seconds = 1.78 ft/s
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Tiffany can type 43 words per minute.If she maintains her typing speed without a break , how many words can she type in 2 hours and 15 minutes?
Answer:
5805 words
Step-by-step explanation:
2 hours × 60 minutes/hour = 120 minutes
120 minutes + 15 minutes = 135 minutes
2 hours and 15 minutes = 135 minutes
135 minutes × 43 words/minute = 5805 words
if EG=10x+20, FG=43. EG=183, find the value of x.
Answer:
Option (3)
Step-by-step explanation:
Given: EF = 10x + 20
FG = 43
EG = 183
From the figure attached,
Length of segment EF + length of segment FG = length of segment EG
By substituting the values of each segment in the equation,
(10x + 20) + 43 = 183
10x + 20 = 183 - 43
10x = 140 - 20
x = \(\frac{120}{10}\)
x = 12
Therefore, x = 12 will be the answer.
Option (3) will be the correct option.
Principal Interest Rate Time Simple Interest
$12,000 4.25% 5 years
The value of Simple interest for the given data comes as $2550.
Given,
The Principal amount is equal to 12,000 dollars.
The Rate of Interest is stated at 4.25%.
The Total time period given for the question is 5 years.
Let the principal amount be considered as (P), the Rate of Interest per annum be (R), the Time period is (T), and Simple Interest is (S.I).
So, according to the given question,
P = $12,000
R = 4.25%
T = 5 years
We know, Simple interest can be calculated by multiplying the Principal amount with the Rate of Interest as well as the Time period.
If we write it mathematically, the formula will be,
S.I = PRT/100
=> S.I = (12,000* 4.25* 5)/100
=> S.I = (2,55,000)/100
=> S.I = $2550.
Hence, the value of Simple Interest will be 2550 dollars.
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in how many ways can people sit around a round table if pierre and thomas want to sit together, but rosa doesn't want to sit next to either of them? (treat rotations as not distinct but reflections as distinct.)
There are 72 ways for people to sit around a round table if Pierre and Thomas want to sit together, but Rosa doesn't want to sit next to either of them.
First, we can seat Pierre and Thomas next to each other as a block. There are 2 ways to arrange them (PT or TP).
Next, we can seat Rosa in one of the 6 available seats that are not next to the block. There are 6 ways to do this.
Then, we can seat the remaining 4 people in the 4 available seats. There are 4! ways to do this.
Finally, we need to account for the fact that rotations are not distinct but reflections are distinct. Since there are 8 people seated around the table, there are 8 possible rotations. However, if we reflect the table (i.e., flip it over), we get a different seating arrangement. Therefore, there are 16 distinct arrangements.
Putting it all together, we have:
2 (arrangements for Pierre and Thomas) x 6 (arrangements for Rosa) x 4! (arrangements for the remaining 4 people) x 16 (accounting for distinct reflections) = 72
Therefore, there are 72 ways for people to sit around a round table if Pierre and Thomas want to sit together, but Rosa doesn't want to sit next to either of them.
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Plot and label the dokata lane exit (point D) on the number line
Answer: to label the point D on the number line, you can represent it as a real number and write it alongside the number line with an arrow pointing to its corresponding position. For example:
----|-----D---->|------
Where "D" is the label for the point and the arrow indicates its position on the number line.
Step-by-step explanation:
i need to verify that this is true. (1-sinx)(1+cscx)=cscx-sinx
We can conclude that (1-sinx)(1+cscx)=cscx-sinx is a true equation.
What is equation?An equation is a mathematical expression containing symbols, constants, and/or numbers that combine to create an equation that states the equality of two mathematical expressions. Equations are used to describe relationships between different quantities and can be used to model real-world phenomena. Equations can also be used to solve problems and make predictions about a system.
To verify that this equation is true, we can use algebraic manipulation. First, we need to expand the left side of the equation. We can do this by multiplying (1-sinx) by (1+cscx). This gives us the equation (1-sinx)(1+cscx) = 1+cscx-sinx-sinxcscx.
Next, we need to simplify the right side of the equation. We can do this by combining the two terms with a minus sign. This gives us cscx-sinx.
Finally, we can compare the two equations. We see that both equations are equal, so the original equation is true.
Therefore, we can conclude that (1-sinx)(1+cscx)=cscx-sinx is a true equation.
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solve of system of equation.
9x + 2y = -38
9x+10y=26.
Answer:
(-6 , 8 )
Hope this helps!
School ends at 3:15 pm. The school provides after -school care for a maximum of 150 minutes after school ends. When is the latest time for pick up?
The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm
How can minutes be converted into hours?Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.
The time that school ends = 3:15 pm
The latest time for pick up after school care = 150 minutes after school ends
Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes
60 minutes = 1 hour
150 minutes = (1/60) × 150 = 2.5
The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm
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Josiah plants vegetable seeds in rows. Each row has the same number of seeds in it. He plants more than one row of seeds. What could be the total number of seeds he plants?
The total number of seeds that Josiah would plant would be = nR×S
How to determine the total number of seeds that Josiah will plant?To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.
Let each row be represented as = nR
Where n represents the number of rows planted by him.
Let the seed be represented as = S
The total number of seeds he planted = nR×S
Therefore, the total number of seeds that was planted Josiah would be = nR×S.
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How many buckets of water
will it take to fill the fish tank?
Answer:
3 more bucketsStep-by-step explanation:
since the bucket of water is 10 inch and the fish tank is 30 then
30 ÷ 10 = 3Which graph represents a function with a growth factor of 5?
Answer:
what graph
Step-by-step explanation:
Answer:
C.
That's the answer.
Hope this helps!
Step-by-step explanation:
What will be the sales price of the car if it has a regular price of $16000 and is on sale for 20% off? Determine the cost of the car including 13% tax.
Answer:
Total cost = $14464
Step-by-step explanation:
Step 1: Multiply the discount percentage by the regular price to determine the discount amount:
0.20 * 16000 = 3200
Thus, the 20% discount lowers the regular price by $3200.
Step 2: Subtract the discount amount from the regular price to determine the new price:
16000 - 3200 = 12800.
Thus, the subtotal is $12800
Step 3: Multiply tax percentage by subtotal to determine tax:
0.13 * 12800 = 1664
Thus, the 13% tax rate would raise the subtotal by $1664.
Step 4: Add the tax to the subtotal to find the cost price.
1664 + 12800 = 14464.
Thus, the total cost of the car is $14464.
Thus, the total cost of the car with the 20% discount and the 13% tax is 14464.
T/F: An intercepted arc is twice the measure of the inscribed angle it was created from.
False. The intercepted arc is actually twice the measure of the inscribed angle only if the inscribed angle is an angle at the center. If the inscribed angle is not at the center, the intercepted arc will have a different measure.
So, in general, the relationship between the measure of the intercepted arc and the inscribed angle it was created from depends on the location of the inscribed angle in the circle. This is a long answer, but it provides a detailed explanation of the relationship between the intercepted arc and the inscribed angle in different scenarios.
AN intercepted arc is twice the measure of the inscribed angle it was created from.
In a circle, when an inscribed angle is formed by two chords, it intercepts an arc on the circle. According to the Inscribed Angle Theorem, the measure of the inscribed angle is half the measure of the intercepted arc. Therefore, the intercepted arc is indeed twice the measure of the inscribed angle.
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PLS HELP I JDAHFJAH PLS Look at this linear inequality.
y <-4x - 1
Which graph shows the solution to the linear inequality?
Answer:
first one is correct
Step-by-step explanation:
a vector graphic consists of a set of instructions for creating a picture.
Answer:
A vector graphic consists of a set of instructions for creating a picture is a true statement.
Step-by-step explanation:
A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.
These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.
Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.
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Write an equation for the line, in point -slope form, that passes through the following point and has the following slope: Slope: 9 Point: (-8,-7)
This is the equation in point-slope form that represents the line passing through the point (-8,-7) with the slope of 9.
In the given problem, we are trying to determine the equation of a straight line using the point-slope form. The point-slope form is given by:
y - y1 = m(x - x1)
Where m represents the slope of the line and (x1, y1) represents a point on the line.
By substituting the given values into the equation, we have:
y - (-7) = 9(x - (-8))
Simplifying this equation gives:
y + 7 = 9(x + 8)
This equation is in point-slope form and represents a line that passes through the point (-8,-7) with a slope of 9.
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On graph paper, graph Triangle ABC if A(3,0), B(2,7), and C(6,4). Investigate the slopes and side lengths of triangle ABC and make a list of any special relationships that they have
part a. )
Side AB:
Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) = 3.16
Slope: mAB = (7 - 0) / (2 - 3) = -7
Side AC:
Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5
Slope: mAC = (4 - 0) / (6 - 3) = 4/3
Side BC:
Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20) = 4.47
Slope: mBC = (4 - 7) / (6 - 2) = -3/4
part b.)
some special relationships between the sides of Triangle ABC:
Side AB is shorter than side BC, but has a steeper slope.Side AC is the longest side of the triangle.We will use the distance formula and slope formula.
The distance formula is:
d = √[(x2 - x1)² + (y2 - y1)²]
And the slope formula is:
m = (y2 - y1) / (x2 - x1)
Side AB:
Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) ≈ 3.16
Slope: mAB = (7 - 0) / (2 - 3) = -7
Side AC:
Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5
Slope: mAC = (4 - 0) / (6 - 3) = 4/3
Side BC:
Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20) = 4.47
Slope: mBC = (4 - 7) / (6 - 2) = -3/4
The slopes of sides AB and BC are negative, which indicates that these sides slope downwards from left to right on the coordinate plane.
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an urn contains 4 blue and 3 yellow chips. two are removed in succession without replacement. what is the probability both chips are blue?
An urn contains 4 blue and 3 yellow chips, two are removed in succession without replacement. The probability both chips are blue is 15/14
Since the balls are to be removed in succession,
For removing first ball:
Total probability to remove the ball from 7 balls = 7c1
The probability for removing one blue ball out of 4 blue balls = 4c1
So final probability = 4c1/7c1
Now the remaining balls = 7-1 = 6
The remaining blue balls = 4-1 = 3
For removing second ball:
Total probability to remove one ball out of 6 balls = 6c1
The probability for removing one blue ball out of 3 blue balls = 3c1
So final probability = 3c1/6c1
The final probability to remove two blue balls in succession out of 7 balls is = 4c1/7c1 + 3c1/6c1
= 4/7 + 3/6
= 15/14
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