Answer:
50.82
Step-by-step explanation:
Find the 10th term in the
following sequence:
-21, -27, -33, -39,
help me please i really need it
Answer:
m∠2=93, m∠3=87,m∠4=87
Step-by-step explanation:
Given the graph of y=f(x), shown as a green curve, drag the green movable points to draw the graph of y=−f(x). When the green line is moved a red dashed line will appear where the original graph appeared for reference. Notice that you can control the positioning of the reflective function with the coordinate labeled "Drag Function" and control the width of the reflection with the coordinate labeled "Control Width."
The resulting function is presented in the image attached below.
In this question we know the graphic of a function and we must draw a new function which is the reflection of the original one around the x-axis. Mathematically speaking, a reflection a around the x-axis is defined by the following operation:
\(f'(x) = f(x) - 2\cdot [f(x) - 0]\)
\(f'(x) = - f(x)\) (1)
Which means that the reflected function is equal to the original function multiplied by -1.
Now, we proceed to represent the reflected function graphically.
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In a class of 40 students, 26 are girls and 14 are boys.
the ratio of girls to boys is
the ratio of boys to girls is
the ratio of girls to the total is
the ratio of boys to the total is
Answer:
Step-by-step explanation:
Girls to boys:
26:14 or 26/14
boys to girls:
14:26 or 14/26
girl to total:
26:40 or 26/40
boys to total
14:40 or 14/20
Yuto and Hila attempted to solve the same inequality. Their work is shown below.
Yuto’s Work
Hila’s Work
Negative two-thirds x + 9 greater-than 7. Negative two-thirds x + 9 minus 9 greater-than 7 minus 9. Negative two-thirds x greater-than negative 2. (Negative three-halves) (Negative two-thirds x) less-than (Negative three-halves) (Negative StartFraction 2 over 1 EndFraction). x less-than 3.
Negative two-thirds x + 9 greater-than 7. Negative two-thirds x + 9 minus 9 greater-than 7 minus 9. Negative two-thirds x greater-than 16. (Negative three-halves) (Negative two-thirds x) less-than (Negative three-halves) (StartFraction 16 over 1 EndFraction). x less-than negative 24.
Which statement is true about the work shown above?
Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.
Yuto is incorrect because he should not have reversed the inequality symbol.
Hila is correct because she isolated the variable correctly and reversed the inequality symbol.
Hila is incorrect because she should not have reversed the inequality symbol.
Answer:
Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.
Step-by-step explanation: hi
Answer:
The answer is A
Step-by-step explanation:
In other words, Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.
Simplify each expression
3+8b+4+7b-3
Answer:
9. 15b + 4
10. 4y + 6
11. 15r+72
12. 130n + 20
Step-by-step explanation:
9. Combine Like terms
10. Combine Like terms
11. Distribute the 8 into (r + 9) then combine like terms
12. Distribute 10 into (3n + 2 + 10n) then combine like terms
Answer:
\(\mathsf {9) 15b + 4}\\\mathsf {10) 4y + 6}\\\mathsf {11) 15r + 72}\\\mathsf {12) 130n + 20}\)
Step-by-step explanation:
\(\textsf {Question 9}\)
\(\mathsf {3 + 8b + 4 + 7b - 3}\)
\(\mathsf {8b + 7b + 4 + 3 - 3}\)
\(\mathsf {15b + 4}\)
\(\textsf {Question 10}\)
\(\mathsf {8 + 7y - 3y + 2 - 4}\)
\(\mathsf {7y - 3y + 8 + 2 - 4}\)
\(\mathsf {4y + 6}\)
\(\textsf {Question 11}\)
\(\mathsf {8(r + 9) + 7r}\)
\(\mathsf {8r + 8(9) + 7r}\)
\(\mathsf {8r + 7r + 72}\)
\(\mathsf {15r + 72}\)
\(\textsf {Question 12}\)
\(\mathsf {10(3n + 2 + 10n)}\)
\(\mathsf {10(13n + 2)}\)
\(\mathsf {10(13n) + 10(2)}\)
\(\mathsf {130n + 20}\)
five the equation of line that is parallel to f(x)=-2x+1 that goes through point (0,5)
NOTE: For All Calculations In This Lab, Use The Approximation Of 62,500 Inches To The Mile When Necessary. ALWAY
By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving
The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.
For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.
Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.
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.
the school of business believes that a review course will help to improve the mean score on an outcomes assessment test. a faculty member claims that the improvement is no more than 3%. a sample of 30 students' scores shows a mean score improvement of 2.8%. what would be the null hypothesis to test the faculty member's claim at the 5% significance level?
The null hypothesis to test the faculty member's claim that the improvement is no more than 3% at the 5% significance level is that the true mean score improvement on the outcomes assessment test is equal to or less than 3%.
What is null hypothesis?The null hypothesis is a statement that assumes there is no significant difference or relationship between two variables in a population, or that any observed difference or relationship is due to chance or sampling error. It is usually denoted by "H0" and is used in statistical hypothesis testing to determine whether there is evidence to support an alternative hypothesis.
In the given question,
The null hypothesis to test the faculty member's claim that the improvement is no more than 3% at the 5% significance level would be:
H0: The true mean score improvement on the outcomes assessment test is equal to or less than 3%.
This hypothesis assumes that there is no significant improvement in the mean score on the outcomes assessment test as a result of the review course. The alternative hypothesis would be:
Ha: The true mean score improvement on the outcomes assessment test is greater than 3%.
This hypothesis assumes that there is a significant improvement in the mean score on the outcomes assessment test as a result of the review course.
To test these hypotheses, we would use a one-tailed t-test with a significance level of 0.05 and calculate the t-value and p-value based on the sample data. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is evidence of a significant improvement in the mean score on the outcomes assessment test as a result of the review course. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is no evidence of a significant improvement in the mean score on the outcomes assessment test as a result of the review course.
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How many gallons sized milk jugs would it take to fill up the ocean?
Answer:
352 quintillion gallon milk jugs
Step-by-step explanation:
Sally's school is 2.5 km long. How many meters long is Sally's school
Answer: Sally's school is 2,500 meters long. Hope this helps!
Answer:
2500metres
Step-by-step explanation:
we all know that 1km is 1000 metres
so I take 1000metres×2.5km =2500What is the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented
2
y =
5*
X + 2?
ОА
5
y = -x-3
B
5
y=-x +3
2
с
5
Y=2*+7
D
5
y = x-7
Nor
Answer:
B only if
Step-by-step explanation:
If b is 5y=-2x+3
Then its b
Because the slope to be perpendicular it would be -2/5
f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k
Answer:
k=-6-6=-12
Im pretty sure that's the answer
please help me with this it's a huge test :) i'll mark brainliest!
Answer:
I think A or D
Step-by-step explanation:
A family with 4 adults and 3 children spends 47 for movie tickets at the theater. Another family with 2 adults and 4 children spends 36 . What is the price of a child's ticket in dollars?
Answer:
The price of a child ticket in dollars $8.00
Step-by-step explanation:
find size of angle x
pls..
Answer:
x = 115
Step-by-step explanation:
Sum of angles around a point = 360
i.e,
=> 164 + 81 + x = 360
=> 245 + x = 360
=> x = 360 - 245
=> x = 115
Answer:
The size of angle x is 115 degrees.
Step-by-step explanation:
So I believe that for this it wants an entire circle, meaning that the total would be 360, and the angle x is obviously obtuse (More than 90), so we would need to add the 81 degrees and 164 degrees to get 245 degrees.
Now we need to find x, so lets take our total, and take that away from 360. 360-245=115
x=115
Hope this has helped have a good day.
Plzz help me ASAP
35 points
Answer:
The area of the triangle is around 100 degrees
Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 6 3y , x = 0, y = 3; about the y-axis
According to the question The volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).
To find the volume of the solid obtained by rotating the region bounded by the curves \(x = 6 - 3y$, $x = 0$, and $y = 3$\) about the \($y$\)-axis, we can use the method of cylindrical shells.
The height of each cylindrical shell is the difference between the two curves, which is given by \($(6 - 3y) - 0 = 6 - 3y$\)
The radius of each cylindrical shell is the distance from the \($y$\)-axis, which is simply \($y$\).
The differential volume of each cylindrical shell is then given by \(dV = 2\pi y(6 - 3y) \, dy$.\)
To find the total volume, we integrate the differential volume from \(y = 0$ to $y = 3$:\)
\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)
To solve the integral, let's integrate the expression step by step:
\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)
Expanding the expression, we have:
\($V = \int_{0}^{3} 12\pi y - 6\pi y^2 \, dy$\)
Integrating term by term, we get:
\($V = \left[6\pi \left(\frac{1}{2}y^2\right) - 2\pi \left(\frac{1}{3}y^3\right)\right] \bigg|_{0}^{3}$\)
Simplifying further:
\($V = \left[3\pi y^2 - \frac{2}{3}\pi y^3\right] \bigg|_{0}^{3}$\)
Plugging in the limits of integration:
\($V = \left[3\pi \cdot 3^2 - \frac{2}{3}\pi \cdot 3^3\right] - \left[3\pi \cdot 0^2 - \frac{2}{3}\pi \cdot 0^3\right]$\)
Simplifying:
\($V = \left[27\pi - 27\pi\right] - \left[0 - 0\right]$\)
\($V = 0$\)
Therefore, the volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).
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A manufacturing company buys a new stamping machine for $28,000. The maker of the machine informs the company’s CEO that on average, it depreciates in value according to the schedule shown in the table. Answer the questions that follow.
Months
Value
0
$28,000
6
$24,500
12
$21,000
18
$17,500
24
$14,000
Answer the following questions
1) If the depreciation continues at the same rate, how long will it take until the machine has no value?
2) Based on the pattern you see in the table, how do you know that the graph will be a straight line?
3) Enter the values in the table above in an Excel spreadsheet and use Excel to create a line graph. Label the axes and title the graph. Then copy the graph from your Excel spreadsheet and paste it below.
4) Find the slope of the graph and explain what it means.
5) Find the intercepts of the graph, and describe what each intercept means.
6) If we use the letter x to represent the variable number of months, write an expression that represents the value of the machine.
7) Use your expression from Question 6 to find when the machine has no value, and compare it to the answer you have in Question 1. Do you get the same/different answers? Explain.
1.The machine will have no value after 48 months. 2.The graph of the machine's value over time will be a straight line. 3.The slope of the graph represents the rate of depreciation per month. 4.The intercepts of the graph indicate the initial value and zero value. 5.The expression V = -750x + 28,000 represents the value of the machine. 6.The machine has no value when x = 37 according to the expression. 7.The answer obtained using the expression differs from the answer in 8.question 1 due to possible rounding errors or calculation variations.
To determine when the machine has no value, we observe the pattern of depreciation. Based on the given data, the machine depreciates by $3,500 every 6 months. Therefore, it will take 48 months (8 cycles of 6 months) for the machine to have no value.
The table shows a consistent decrease in value over time with equal intervals of 6 months. This indicates a linear relationship between the number of months and the value. A linear relationship is represented by a straight line on a graph.
The slope of the graph can be determined by calculating the change in value divided by the change in time. In this case, the slope is (-750), meaning the value decreases by $750 per month. It represents the rate of depreciation per month.
The intercepts of the graph are obtained by determining the value of the machine at the start (initial value intercept) and when it reaches zero (zero value intercept). The initial value intercept is $28,000, which represents the starting value of the machine. The zero value intercept occurs when the machine has no value.
The expression V = -750x + 28,000 represents the value of the machine. The coefficient of x (-750) represents the rate of depreciation per month, while the constant term (28,000) represents the initial value.
Using the expression, when x = 37, the machine has no value. This differs from the answer in question 1 (48 months). The discrepancy could be due to rounding errors or variations in the method used to calculate the exact point at which the value reaches zero.
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a card is drawn from a pack of 52 playing cards. find the probability that the card will be a jack, given that it is a face card.\
If a card is drawn from a pack of 52 playing cards, then the probability that the card will be jack is 1/13
Total number of playing cards in the pack = 52 cards
Number of jack cards in the pack = 4 cards
The probability is the ratio of the number of favorable outcomes to the total number of outcomes
The probability = Number of favorable outcomes / Total number of outcomes
Substitute the values in the equation
The probability that the card will be a jack = 4/52
Simplify the answer
= 1/ 13
Therefore, the probability that the card will be jack is 1/13
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four pencils and a ruler cost $1. six pencils and three rulers cost $2.10. find the cost of three pencils and thirteen rulers.
Answer:
$ 5.65
Step-by-step explanation:
let the cost of a pencil and a ruler be $p and $r respectively.
4p +r= 1 -----(1)
6p +3r= 2.10
divide by 3 throughout:
2p +r= 0.70 -----(2)
Q: 3p +13r= ?
(1) -(2):
(4p +r) -(2p +r)= 1 -0.70
4p +r -2p -r= 0.30 (expand)
2p= 0.30 (simplify)
p= 0.30 ÷2 (÷2 on both sides)
p= 0.15
subst. into (1):
4(0.15) +r= 1
r +0.60= 1
r= 1 -0.60
r= 0.40
cost of three pencils and thirteen rulers
= 3p + 13r
= 3(0.15) + 13(0.40)
= 0.45 + 5.20
= $5.65
Help help help math math
Answer:
739 x 4
2926 ft³ is your answer
Answer:
Step-by-step explanation:
radius=18/2=9 ft
\(V=\frac{4}{3} \pi r^3\\=\frac{4}{3} \pi (9)^3\\\approx \frac{4}{3} \times 3\times 729\\\approx 4 \times 729\\\approx 2916 ~ft^3\)
The Pythagorean Theorem is modeled below. Square 1 has a perimeter of 12 units and Square 2 has a perimeter of 16 units.
The side length of Square 1 is 3 units. Similarly, Square 2 has a perimeter of 16 units. Therefore, 4s = 16, hence, s = 4. Therefore, the side length of Square 2 is 4 units.
The Pythagorean Theorem is modeled below.
Square 1 has a perimeter of 12 units and Square 2 has a perimeter of 16 units. Therefore, the side length of Square 1 is 3 units and the side length of Square 2 is 4 units.The Pythagorean Theorem is a formula used in mathematics.
It is used to determine the sides of a right triangle. It is expressed as a² + b² = c² where a and b are the sides of the right triangle and c is the hypotenuse of the right triangle. The theorem can be modeled with two squares.In this case, Square 1 has a perimeter of 12 units. Since a square has four equal sides, the perimeter can be calculated as 4s, where s is the side length of the square. 4s = 12, therefore, s = 3.
Thus, the side length of Square 1 is 3 units. Similarly, Square 2 has a perimeter of 16 units. Therefore, 4s = 16, hence, s = 4. Therefore, the side length of Square 2 is 4 units.
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in huffman encoding if all the letters have the same frequency then they have equal code lengths. true or false g
If all the letters have the same frequency then they have may or may not be equal codes.
What is Huffman encoding?
A lossless data compression algorithm is Huffman coding. Input characters are given variable-length codes, the lengths of which are determined by the frequency of the matching characters.
The variable-length codes (bit sequences) assigned to input characters are Prefix Codes, which indicates that no other character will have a code that is the prefix of the code assigned to that character. This is how Huffman Coding ensures that the produced bitstream cannot contain any ambiguities during decoding.
Let's use a counter example to better grasp prefix codes. Assume that the four characters a, b, c, and d have the variable length codes 00, 01, 0 and 1, respectively. Because the code assigned to c is the prefix of the codes assigned to a and b, this coding causes uncertainty. If the bit stream being compressed is 0001, the decompressed output might be "cccd," "ccb," "acd," or "ab."
In huffman coding, if two nodes have the same frequency, they are considered to be identical for compression reasons, therefore you can select either one and gain an equal amount of compression.
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convert 0.3 to a percent
Answer:
pretty sure its 30%
Step-by-step explanation:
.30 is the basic if it was .03 it would be 3%
the greatest common factor of the binomial 2 x − 4 is 2 . the greatest common factor of the binomial 4 x 8 is 4 . what is the greatest common factor of their product, ( 2 x − 4 ) ( 4 x 8 ) , when it has been multiplied out?
The greatest common factor of their product is 2
How to determine the greatest common factor of the productFrom the question, we have the following parameters that can be used in our computation:
GCF of 2x - 4 = 2
GCF of 4 * 8 = 4
Using the above as a guide, we have the following expressions
GCF of 2x - 4 = 2
GCF of 4 * 8 = 2 * 2
Write out the common factors
GCF = 2
This means that the GCF is 2
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Sierra left $17.75 as a tip for a waiter. This was 20% of the bill before the tip. How much was her total bill before the tip
Answer:
$31.95 Before tip.
Step-by-step explanation:
I believe you should just add 17.75+80%=31.95
Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.
f(n) = –6.5n + 14.5
f(n) = –1.5n + 9.5
f(n) = 6.5n + 1.5
f(1) = 8, f(n + 1) = f(n) – 6.5
f(1) = 8, f(n + 1) = f(n) – 1.5
f(1) = 8, f(n + 1) = f(n) + 6.5
Answer:
A,D
Step-by-step explanation:
Please please as soon as possible.
Answer:
i cant see it sorry:(
Step-by-step explanation:
What is the solution to the system of equations graphed below?
5-
y = x+1
5
y=-x-1
y=-x-1
y=x+1
Answer:
y+1-1x
Step-by-step explanation:
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