According to the information, the exact values of sin(2u), cos(2u) and tan(2u) are sin(2u) = -120/169, cos(2u) = -1, and tan(2u) = -120/119.
How to calculate the exact values of sin(2u), cos(2u) and tan(2u)?We can use the double-angle formulas to find the values of sin(2u), cos(2u), and tan(2u) in terms of sin(u) and cos(u).
sin(2u) = 2 sin(u) cos(u)cos(2u) = cos²(u) - sin²(u)tan(2u) = (2 tan(u)) / (1 - tan²(u))First, we need to find cos(u) using the Pythagorean identity:
cos²(u) + sin²(u) = 1cos²(u) = 1 - sin²(u)cos(u) = ±sqrt(1 - sin²(u))Since pi/2 < u < pi, we know that sin(u) is positive and cos(u) is negative. Therefore:
cos(u) = -sqrt(1 - (5/13)²) = -12/13Now we can substitute sin(u) and cos(u) into the double-angle formulas:
sin(2u) = 2 sin(u) cos(u) = 2 (5/13) (-12/13) = -120/169cos(2u) = cos²(u) - sin²(u) = (-12/13)² - (5/13)² = -144/169 - 25/169 = -169/169 = -1tan(2u) = (2 tan(u)) / (1 - tan²(u)) = (2 (5/12)) / (1 - (5/12)²) = (10/12) / (119/144) = -120/119Therefore, sin(2u) = -120/169, cos(2u) = -1, and tan(2u) = -120/119.
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Which function best models the stock data shown in the scatter plot?
A. Y=0.3(2.94) +56.5
B. Y=442x+53
C. Y=0.92)+58
D. Y=7.7x+47.7
Submit
Answer:
Without a visual or additional information, it is difficult to determine the best function that models the stock data shown in the scatter plot.
However, we can make some observations based on the answer choices:
A. Y=0.3(2.94) +56.5 is not a linear function and does not seem to fit the general trend of the data.
B. Y=442x+53 is a linear function with a positive slope, but it does not seem to fit the general trend of the data.
C. Y=0.92)+58 is not a linear function and appears to be missing a variable.
D. Y=7.7x+47.7 is a linear function with a positive slope that seems to fit the general trend of the data.
Therefore, the best function that models the stock data shown in the scatter plot is likely D) Y=7.7x+47.7.
Find f. f ″(x) = −2 + 24x − 12x2, f(0) = 2, f ′(0) = 16
[tex]f''(x)=-2+24x-12x^2\hspace{5em}f'(0)=16\hspace{5em}f(0)=2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \displaystyle \int~(-2+24x-12x^2)dx\implies -2x+12x^2 - 4x^3 + C=f'(x) \\\\\\ \stackrel{\textit{since we know that}}{f'(0)=16}\hspace{5em}-2(0)+12(0)^2-4(0)^3+C=16 \\\\\\ C=16\hspace{5em}\stackrel{\textit{so then we know that}}{-2x+12x^2 - 4x^3 + 16=f'(x)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\displaystyle \int~(-2x+12x^2 - 4x^3 + 16)dx\implies -x^2+4x^3-x^4+16x+C=f(x) \\\\\\ \stackrel{\textit{since we know that}}{f(0)=2}\hspace{5em}-(0)^2+4(0)^3+16(0)+C=2 \\\\\\ C=2\hspace{5em}\boxed{-x^2+4x^3-x^4+16x+2=f(x)}[/tex]
pic below
Which statement is supported by the information in the graph?
Answer B The income in Year 5 was twice the income in Year 1.
A Expenses have increased $200,000 each year over the last 5 years.
C The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3.
D The combined expenses in Years 3 and 4 were $300,000 more than the combined income in Years 3 and 4.
Correct option is D. the combined expenses are $300,000 more than the combined income.
What is the bar chart?In business, economics, statistics, and science, bar charts are frequently used to display and compare data. When dealing with data that can be divided into discrete categories, like nominal or ordinal data, they are especially helpful.
According to the Income and expenses graph;
We can verify each options one by one.
A. Expenses have increased $200,000 each year over the last 5 years:
If we see the graph for expenses in each year that is increased by $100,000 not the $200,000 over the last 5 years.
So, the option is wrong.
B. The income in Year 5 was twice the income in Year 1:
Income in year 1 = $600,000
Income in year 5 = $900,000
We can see here, income is not just double.
So, the option is wrong.
C. The sum of all expenses in Years 1, 2, and 3 was the same as the sum of all income in those years:
combined income in Years 1, 2, and 3 = $600,000 + $600,000 + $400,000 = $1600,000
combined expenses in Years 1, 2, and 3 = $400,000 + $500,000 + $600,000 = $1500,000
Both are not equal.
So, the option is wrong.
D. The total amount expenses in Years 3 and 4 were $300,000 more than the total amount income in Years 3 and 4:
combined expenses in Years 3 and 4 = $600,000 + $700,000 = $13,00,000
combined income in Years 3 and 4 = $400,000 + $600,000 = $10,00,000
We can see here the combined expenses are $300,000 more than the combined income.
So, the option is correct.
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Consider a triangle like the one below. Suppose that c=57, b=15 , and C=108°. (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
Answer: the sides of the triangle are a ≈ 41.5, b = 15, and c = 57, and the measures of the angles are A ≈ 42.7°, B ≈ 29.3°, and C = 108°.
Step-by-step explanation:
2x
(3x + 5)
Need a and b answered
Step-by-step explanation:
Triangle has 180 degrees in its interior angles .....90 degrees is the right angle leaving 90 degrees for 2x + 3x+ 5
2x + 3x+5 = 90
5x = 85
x = 17
smallest angle is then 2x = 34 degrees
Match the word with the definition.
Question 1 options:
Rise
Run
Y Intercept
Ordered Pairs
Perpendicular Lines
Linear Equation
Y-axis
Coordinate plane
Slope
Slope-intercept form
X-axis
Origin
X Intercept
Parallel Lines
Quadrant
1.
Plane with two axes as a frame of reference.
2.
The vertical number line in a coordinate plane
3.
The horizontal number line in a coordinate plane
4.
A pair of numbers that are used to correspond to a point on a graph where the first number is the x-coordinate and the second number is the y-coordinate.
5.
Where the x and y axis meet. The point (0, 0).
6.
One of the four regions into which the x and y axis separate the coordinate plane.
7.
An equation with two variables that makes up a straight line on a coordinate plane.
8.
The vertical change in a line from one point (x1,y1) to a second point (x2, y2).
9.
The horizontal change in a line from one point (x1,y1) to a second point (x2,y2).
10.
The ratio of a line's rise over its run.
11.
The point where a graph crosses the x axis.
12.
The point where a graph crosses the y axis.
13.
A linear equation in the form y = mx + b, where m is the slope and b is the y-intercept.
14.
Lines that have the same slope and never intersect.
15.
Two lines that intersect at a 90° angle. Slopes of these lines are opposite reciprocals.
Step-by-step explanation:
1.
Plane with two axes as a frame of reference. - Coordinate plane
2.
The vertical number line in a coordinate plane - Y-axis
3.
The horizontal number line in a coordinate plane - X-axis
4.
A pair of numbers that are used to correspond to a point on a graph where the first number is the x-coordinate and the second number is the y-coordinate. - Ordered Pairs
5.
Where the x and y axis meet. The point (0, 0). - Origin
6.
One of the four regions into which the x and y axis separate the coordinate plane.- Quadrant
7.
An equation with two variables that makes up a straight line on a coordinate plane. - Linear Equation
8.
The vertical change in a line from one point (x1,y1) to a second point (x2, y2). - Rise
9.
The horizontal change in a line from one point (x1,y1) to a second point (x2,y2). - run
10.
The ratio of a line's rise over its run. - Slope
11.
The point where a graph crosses the x axis. - X Intercept
12.
The point where a graph crosses the y axis. - Y Intercept
13.
A linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. - Slope-intercept form
14.
Lines that have the same slope and never intersect. - Parallel Lines
15.
Two lines that intersect at a 90° angle. Slopes of these lines are opposite reciprocals. - Perpendicular Lines
please mark mine brainliest ⭐⭐⭐⭐
Systolic blood pressures are approximately Normal with a mean of 120 and a standard deviation of 8.
a. What percentage of people have a systolic blood pressure above 130 (hypertension)?
b. What percentage of people have a systolic blood pressure between 120 and 130?
c. What is the range of systolic blood pressures for the middle 60% of the population?
d. Suppose people with systolic blood pressures in the top 15% of the population have their blood pressures monitored more closely by health care professionals. What systolic blood pressure would qualify a person for this additional monitoring?
About 9.1% of people have a systolic blood pressure above 130.about 34.1% of people have a systolic blood pressure between 120 and 130.
What is percentage?A number can be expressed in fractions of 100 using a percentage. When expressing it, the notation %, which stands for "per hundred," is frequently used. 50%, for instance, equals 50/100, or the percentage 1/2.
a. To find the percentage of people with a systolic blood pressure above 130, we need to find the area under the normal curve to the right of 130. Using a standard normal distribution table or a calculator, we can find that this area is approximately 9.1%. Therefore, about 9.1% of people have a systolic blood pressure above 130.
b. To find the percentage of people with a systolic blood pressure between 120 and 130, we need to find the area under the normal curve between 120 and 130. Using a standard normal distribution table or a calculator, we can find that this area is approximately 34.1%. Therefore, about 34.1% of people have a systolic blood pressure between 120 and 130.
c. To find the range of systolic blood pressures for the middle 60% of the population, we need to find the two values of systolic blood pressure that separate the centre 60% of the normal curve's area under the curve. Using a standard normal distribution table or a calculator, we can find that these values are approximately 111.4 and 128.6. Therefore, the range of systolic blood pressures for the middle 60% of the population is approximately 111.4 to 128.6.
d. To find the systolic blood pressure that qualifies a person for additional monitoring if they are in the top 15% of the population, we need to find the value of systolic blood pressure that separates the top 15% of the area under the normal curve from the rest. Using a standard normal distribution table or a calculator, we can find that this value is approximately 131.4. Therefore, a systolic blood pressure of 131.4 or higher would qualify a person for additional monitoring.
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a. approximately 10.56% of people have a systolic blood pressure above 130.
b. approximately 39.44% of people have a systolic blood pressure between 120 and 130.
c. a systolic blood pressure of 128.32 or higher would qualify a person for additional monitoring if they are in the top 15% of the population.
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
a. To find the percentage of people with a systolic blood pressure above 130, we need to calculate the area under the standard normal curve to the right of the z-score corresponding to a systolic blood pressure of 130.
z = (130 - 120) / 8 = 1.25
Using a standard normal distribution table or calculator, we find that the area to the right of z = 1.25 is 0.1056 or 10.56%. Therefore, approximately 10.56% of people have a systolic blood pressure above 130.
b. To find the percentage of people with a systolic blood pressure between 120 and 130, we need to calculate the area under the standard normal curve between the z-scores corresponding to systolic blood pressures of 120 and 130.
z1 = (120 - 120) / 8 = 0
z2 = (130 - 120) / 8 = 1.25
Using a standard normal distribution table or calculator, we find that the area between z = 0 and z = 1.25 is 0.3944 or 39.44%. Therefore, approximately 39.44% of people have a systolic blood pressure between 120 and 130.
c. To find the range of systolic blood pressures for the middle 60% of the population, we need to find the z-scores corresponding to the 20th and 80th percentiles of the standard normal distribution, which are -0.84 and 0.84, respectively.
The corresponding systolic blood pressures are:
lower limit: z1 * 8 + 120 = 113.68
upper limit: z2 * 8 + 120 = 130
Therefore, the range of systolic blood pressures for the middle 60% of the population is approximately 113.68 to 130.
d. To find the systolic blood pressure that qualifies a person for additional monitoring if they are in the top 15% of the population, we need to find the z-score corresponding to the 85th percentile of the standard normal distribution.
Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 85th percentile is 1.04.
The corresponding systolic blood pressure is:
systolic blood pressure = z * 8 + 120 = 128.32
Therefore, a systolic blood pressure of 128.32 or higher would qualify a person for additional monitoring if they are in the top 15% of the population.
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On Monday,1 7/8 inches of rain fell. On Tuesday,it rained 1/4 inch. What was the total rainfall for the two days?
Answer:
2.125 inches
Step-by-step explanation:
We Know
On Monday, 1 7/8 inches of rain fell. On Tuesday, it rained 1/4 inch.
1 7/8 = 15/8
What was the total rainfall for the two days?
We Take
15/8 + 1/4 = 15/8 + 2/8 = 17/8 inches of rainfall
17/8 = 2.125
So, the total rainfall for the two days is 2.125 inches.
Answer:
2 1/8 inches
Step-by-step explanation:
You need to add the two amounts of rainfall together to get your answer, which is 1 7/8 + 1/4. To add these fractions, make the fractions equivalent. To find equivalent fractions, we multiply the numerator and the denominator by the same number.
Since 1/4 can be 2/8, you can now add 1 7/8 + 2/8. This equals 2 1/8.
Therefore, the total rainfall for the two days was 2 and 1/8 inches.
IM SO SORRY IF THIS DID NOT MAKE SENSE!
List the angle measures of △IJK in order from smallest to largest. Assume that x is a positive number
Therefore , the solution of the given problem of angles comes out to be
∠I < ∠J <∠K is the increasing order of angle.
An angle's meaning is what?A skew greatest and smallest walls are located where the roads leading to its ends meet. A crossroads could be where two paths converge. Angle is another outcome of two things interacting. They mimic dihedral shapes more than anything. A two-dimensional curve can be created by arranging two line beams in various ways between their endpoints.
Here,
Using the provided image, we can calculate the angle measures of the IJK in the following order, from smallest to largest:
∠I: This angle seems to be the smallest one in the IJK system.
∠J: This angle seems to be the following bigger angle in IJK.
∠K: This angle seems to be the biggest one in IJK, according to K.
Therefore , the solution of the given problem of angles comes out to be
∠I < ∠J <∠K is the increasing order of angle.
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Question 12/18
6 Units
The volume of a pyramid is 50 cubic units. The base is a square with sides of length 5. What is the height?
(A) 2 Units
10 Units
0v
D) 4 Units
The height of the pyramid is 6 units.
What is the formula of the volume of a pyramid?
The volume of a pyramid is [tex]V = ( \frac{1}{3} ) \times B \times h[/tex], where B is the area of the base and h is the height of the pyramid.
In this case, the base is a square with sides of length 5, so the area of the base is [tex]B = 5 \times 5 = 25 \: square \: units[/tex]
We are also given that the volume of the pyramid is 50 cubic units.
So we are putting these values into the formula and solve for h,
[tex]50 = ( \frac{1}{3} ) \times 25 \times h \\ 150 = 25 \times h \\ h = 6[/tex]
Therefore, the height of the pyramid is 6 units.
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Correct question is "The volume of a pyramid is 50 cubic units. The base is a square with sides of length 5. What is the height?
(A) 2 Units
(B)10 Units
(C) 6 Units
D) 4 Units"
Select the correct answer.
Using a table of values, what is the solution to this equation?
7/ x + 2 = log (x + 5)
Answer:
Step-by-step explanation:
Quadrilateral CDEF is a parallelogram. solve for x
Answer:
x = 25
Step-by-step explanation:
the consecutive angles in a parallelogram sum to 180° , that is
∠ C + ∠ D = 180
4x + 28 + 52 = 180
4x + 80 = 180 ( subtract 80 from both sides )
4x = 100 ( divide both sides by 4 )
x = 25
Question
Two people rented a car from the same agency. The first person drove 1010 miles and paid $232.30 for mileage. The
second person drove 765 miles and paid $175.95 for mileage. What is the agency's fee per mile?
The fee of agency's per mile is $0.23 or 23 cents.
Let the fee charged by agency for per mile drive be $x.
It is given that first people drove 1010 miles and charged $232.30 by agency.
So the equation for first person is,
1010x + y = 232.30........... (i), where y is fixed charge by the agency if it is there.
Also given that second person drove 765 miles and paid $175.95 to agency.
So the equation for the second person is,
765x + y = 175.95 ............. (ii)
Subtracting equation (ii) from equation (i) we get,
1010x + y - 765x - y = 232.30 - 175.95
245x = 56.35
x = 0.23
Hence the fee of agency's per mile is $0.23 or 23 cents.
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What is the equation of a circle located (5,-3) and radius of 6?
Answer:
the answer is d
Step-by-step explanation:
radian measure of 267.38 to the nearest tenth
I heard that you might have to increase your prices by 12% if I normally pay $45 per order how much would my order be if the price increase happens the price for your next order would be what
On solving the equation, the price for next order is obtained as $50.40.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
If the price increase is 12%, we need to add 12% of the original price to the original price to get the new price.
So, the new price equation would be -
$45 + 12% of $45
= $45 + 0.12*$45
= $45 + $5.40
= $50.40
Therefore, if the price increase happens, the price for your next order would be $50.40.
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5x – 2 = 3125
Solve for x
Answer: x = 625.4
Step-by-step explanation:
5x – 2 = 3125
+2 +2
5x = 3127
/5 /5
x = 625.4
Answer: x=3127
Step-by-step explanation:5x times 2 - (3125)=0
5x times -3127=0
5x=3127
x=3127/1
x=3127
Paula’s investments increased by 87.4% in 2020. Those same investments increased by 12.9% in 2012. Calculate the absolute change in the percentage increase amounts from Paula’s investments
the absolute change in the percentage increase amounts from Paula's investments is 74.5%.
What is the percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.
The absolute change in the percentage increase amounts is the difference between the two percentages.
Absolute change = |87.4% - 12.9%| = |74.5%| = 74.5%
Therefore, the absolute change in the percentage increase amounts from Paula's investments is 74.5%.
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Triangle ABC ~ triangle DEF. Use the image to answer the question. a triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 4.4 Determine the measurement of EF. EF = 3.47 EF = 3.16 EF = 1.39 EF = 1.1
Answer:
FD = 3.16
Step-by-step explanation:
To determine the length of FD, we can use the property of similar triangles that corresponding sides are in proportion to each other. That is,
AB/DE = BC/EF = CA/FD
We are given the lengths of AB, CA, and BC in triangle ABC, and we know that triangle ABC is similar to triangle DEF. We can use the first two sides to find the third side of triangle DEF as follows:
AB/DE = 11/DE = 7.9/EF
=> EF = (DE * 7.9) / 11
Next, we can use the third proportionality to find FD:
CA/FD = 7.6/FD = 11/EF
=> FD = (11 * 7.6) / EF
=> FD = (11 * 7.6) / ((DE * 7.9) / 11)
=> FD = (11^2 * 7.6) / (DE * 7.9)
Now, we just need to substitute the given values and solve for FD:
FD = (11^2 * 7.6) / (4.4 * 7.9)
FD = 3.16
Therefore, the length of FD is 3.16.
55 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
(B ) joint is the answer.
Let S be the universal set, where: S={1, 2, 3,…, 18, 19, 20}
Let sets A and B be subsets of S, where:
n(A ∪ B ∪ C) = 16
n(A u B u C) = 2.
How to solve for the setTo find the number of elements in the set ( A cup B cup C), we need to find the union of the sets A, B, and C. This can be done by combining all the elements in A, B, and C, and then removing any duplicates.
So, (A ∪ B ∪ C) = {1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 20}
Therefore, n(A ∪ B ∪ C) = 16.
To find the number of elements in the set ( A ∩ B ∩ C), we need to find the intersection of the sets A, B, and C. This can be done by finding the elements that are common to all three sets.
So, (A ∩ B ∩ C) = {8, 20}
Therefore, n(A u B u C) = 2.
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Alice wanted to compare birthday cake prices in two supermarkets. She wrote down the daily prices for a few days and found that the difference of the two sample means is $4.01. The standard deviation of the difference of the sample means is $5.46. The 95% confidence interval of the sample mean difference is between and .
Considering a period of 10 days, the 95% confidence interval of the sample mean difference is between $0.1 and $7.9.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The variables of the equation are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 10 - 1 = 9 df, is t = 2.2622.
The parameters for this problem are given as follows:
[tex]\overline{x} = 4.01, s = 5.46, n = 10[/tex]
Then the lower bound of the interval is given as follows:
4.01 - 2.2622 x 5.46/sqrt(10) = 0.1.
The upper bound of the interval is given as follows:
4.01 + 2.2622 x 5.46/sqrt(10) = 7.9.
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Question content area top Part 1 Consider a political discussion group consisting of 7 Democrats, 5 Republicans, and 3 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting a Republican and then an Independent.
The probability of selecting a Republican and then an Independent is 1/15
Finding the probability of selecting a Republican and then an Independent.From the question, we have the following parameters that can be used in our computation:
Political discussion group consisting of
7 Democrats5 Republicans3 Independents.If the people are replaced, then we have
P(Republicans) = 5/15
P(Independents) = 3/15
So, we have
The probability of selecting a Republican and then an Independent
P = 5/15 * 3/15
Evaluate
P = 1/15
Hence, the probability of selecting a Republican and then an Independent is 1/15
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Student loans and credit cards are two kinds of loans that most often have ________. a. No fees b. Low fees c. Compounding interest d. No late penalties
Student loans and credit cards are two kinds of loans that most often have c. Compounding interest.
What is compounding interest ?It's vital to understand that compound interest charges interest not solely on the borrowing amount but also the accruing interest. Failure to make timely payments can cause a notable rise in the owed total over an extended period of time.
Late fees and penalties are common for student loans and credit cards; thus, comprehending the repayment responsibilities as described within the terms and conditions becomes paramount for borrowers.
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What’s the 4th term in the sequence?
The fourth term of the sequence is -18.
What is arithmetic progression? How do you respond to arithmetic progression?In arithmetic progression, the first term is denoted by "a", the last term by "l", the common difference of two terms is denoted by "d", and the number of terms by "n". To find the sum of an arithmetic progression, we must know the first term (a), the number of terms (n), and the common difference (d) between successive terms. Then substitute the values Sn = n/2[2a (n − 1) × d].
To find the 4th term of the sequence, we can simply substitute n = 4 instead of the nth term in the formula:
a(4) = -6 - 4 (4-1)
= -6 - 4 (3)
= -6 to 12
= -18
Therefore, the fourth term of the sequence is -18.
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invert and multiply 2/3 divide by 4
Inverting and multiplying the expression 2/3 divide by 4, we get 1/3
Inverting and multiplying the expressionsThe expression from the question is given as
2/3 divide by 4
When inverted, we have
2/3 divide by 4 = 2/3 multiplied by 1/4
Express properly
So, we have
2/3 divide by 4 = 2/3 * 1/4
Evaluate the product
So, we have
2/3 divide by 4 = 1/3
Hence, the solution is 1/3
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HELP ILL GIVE YOU EVERYTHING
Answer: 33
Step-by-step explanation: I promise its right i got you
Weekly revenue, in dollars, at Pizza Garden can be modeled by the equation y = 1000 + 18x, whe
sold. The pizzeria's weekly expenses, in dollars, can be modeled by the equation y = 1700 + 13x.
How many pizzas must be sold at Pizza Garden in a week for the pizzeria to break even?
Note: The phrase break even refers to the value where the two functions are equivalent. When x is less than the break-even value, the pizzeria has
revenue below expenses, and so it loses money. When x is above the break-even value, the pizzeria has revenue above expenses, and so it makes a
profit.
O 140
O 540
O 3500
O 3520
Answer:
To find the break-even point, we need to set the revenue equal to the expenses and solve for x:
1000 + 18x = 1700 + 13x
5x = 700
x = 140
Therefore, Pizza Garden needs to sell 140 pizzas in a week to break even. So the answer is 140.
14. Joey gets paid $ 4.50 per hour for
babysitting. How much will he
make if he babysits for 6 hours?
(Answer: $__:__)
11
Answer:
$27.00
Step-by-step explanation:
6 × $4.50 = $27.00
Answer:27
Step-by-step explanation:
4.50 x 6 = 27
How can the system of equation be represented in a matrix 3x−2y=−25, 5x−2y=−39
?
Answer:
{x,y}={7,-2}
Step-by-step explanation:
3x - 2y = 25
-5x + 2y = -39
[2] 2y = 5x - 39
[2] y = 5x/2 - 39/2
// Plug this in for variable y in equation [1]
[1] 3x - 2•(5x/2-39/2) = 25
[1] -2x = -14
// Solve equation [1] for the variable x
[1] 2x = 14
[1] x = 7
