Answer:
true
Step-by-step explanation:
cause I’ve done this before
Solve each of the following system of linear equations
x_1+〖3x〗_2=1
2x_1+〖5x〗_2=3
Answer:
To solve the system of linear equations:
x_1 + 3x_2 = 1 ...(1)
2x_1 + 5x_2 = 3 ...(2)
We can use the method of elimination to eliminate one of the variables. To do this, we multiply equation (1) by 2, and subtract it from equation (2), as follows:
2(x_1 + 3x_2 = 1) => 2x_1 + 6x_2 = 2 ...(3)
2x_1 + 5x_2 = 3 ...(2)
(2x_1 + 6x_2 = 2) ...(3)
-x_2 = 1
Thus, we have found that x_2 = -1.
We can substitute this value of x_2 into either equation (1) or (2) to solve for x_1. Let's use equation (1):
x_1 + 3(-1) = 1
x_1 - 3 = 1
x_1 = 4
Therefore, the solution to the system of linear equations is x_1 = 4, x_2 = -1.
So the solution set is {(4, -1)}.
find the 7th term of G.P :1/6,1/3,2/3
Answer:
10 2/3
Step-by-step explanation:
The common ratio is 2. Each term is being multiply by 2 to get to the next term.
To find the 7th term you take the first term and multiply that by the common ratio to the n-1 or 6th power.
[tex]1/6(2)^{6}[/tex] = 10 2/3
Solve for x. 6/-4.5=8/4x
The value of x when we solve the equation 6/ -4.5 = 8/4x is x = - 1.5.
What is equation?A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. Another well formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's equivalents in other languages may have slightly different definitions. For instance, an équation is defined as having one or more variables in French.
The given equation is:
6/ -4.5 = 8/4x
Using the method of cross multiplication or butterfly method of multiplication we have:
6(4x) = (8)(-4.5)
24x = -36
x = -1.5
Hence, the value of x for the equation 6/ -4.5 = 8/4x is x = - 1.5.
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ACB radio is rated at 7.5 watts, and actual measurements show that it delivers 5.1 watts to its antenna. What is its
efficiency?
(Type a whole number or decimal rounded to two decimal places as needed)
Answer:
The efficiency of the ACB radio is 68%.
Step-by-step explanation:
here is a step-by-step explanation of how to calculate the efficiency of the ACB radio:
Recall that the efficiency of a radio is the ratio of the power delivered to the antenna to the input power, expressed as a percentage.
Identify the given values: we are told that the ACB radio is rated at 7.5 watts, and it delivers 5.1 watts to the antenna.
Plug in the values to the efficiency formula: Efficiency = (Power delivered to the antenna / Input power) x 100%. Using the given values, we get: Efficiency = (5.1 / 7.5) x 100%.
Perform the division: 5.1 divided by 7.5 equals 0.68, or 68% when multiplied by 100%.
Round the answer: The prompt asks for the answer to be rounded to two decimal places, so we get 0.68 rounded to two decimal places is 0.68.
State the answer: The efficiency of the ACB radio is 68%.
Select ALL of the solutions of the following system of linear inequalities below.
The solutions of the system of inequalities are:
(0, 3)
(6, 2)
How to find the solutions of the system?Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).
And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.
Then the points that are solutions are:
(0, 3)
(6, 2)
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time series data of a typical the gap store should show which of the following data patterns? multiple choice a. trend b. cyclical c. seasonal d. all of the options are correct. e. random
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
What is time series data:
Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.
By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.
Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.
Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.
Therefore,
The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.
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The stem and leaf plot shows the number of laps around a track
that several teams walked as part of a fund-raiser for the library.
The teams that walked more than 50 laps raised an extra $100 for
the library.
What fraction of the teams raised this extra money?
The fraction of the teams that raised the extra money, given the number of teams laps needed to be walked, is D. 1 / 3
How to find the fraction ?To find the fraction of teams that raised the extra money, you need to count the number of teams who were able to walk more than 50 laps. The number of teams who walked more than 50 laps walked:
53, 63, 63, and 65 miles so 4 teams did so.
The total number of teams is the number of leafs which is 12 teams.
The fraction of teams who raised the extra money is :
= 4 teams / 12 total teams
= ( 4 ÷ 4 ) / ( 12 ÷ 4 )
= 1 / 3
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a radio disc jockey has 8 songs on this upcoming hours playlist: 2 are rock songs, 3 are reggae songs, and 3 are country songs, The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. what is the probability that both songs are rock songs? write your answer as a fraction in simplest form.
In this polygon, all angles are right angles. What is the area of this polygon? 18ft,12ft,21ft,8ft
In the given situation the required area of the polygon is 258ft².
What is a polygon?A polygon is a closed polygonal chain made up of a finite number of straight-line segments and is a type of planar figure in geometry.
A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.
A polygonal circuit's segments are referred to as its edges or sides.
Like other concepts in geometry that they created, the word "polygon" is Greek in origin. It merely denotes a lot of (poly) angles (gon).
There cannot be any bends, gaps, or openings in the shape of a polygon.
So, an object's area is how much space it takes up in two dimensions.
A rectangle's area is calculated as follows:
Area = length * breadth
Now, calculate the area as follows using the formula:
Area = [18 * (21 - 12)] + (12 * 8) = 258 ft²
Therefore, in the given situation the required area of the polygon is 258ft².
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Correct question:
In this polygon, all angles are right angles. What is the area of this polygon? Enter your answer in the box. ft² Polygon in the shape of a letter L, which could be formed by a horizontal rectangle attached along the bottom part of a vertical rectangle. The left side of the figure is 18 ft, the bottom side of the figure is 21 ft, the right side of the figure is 8 ft, and the top part of the horizontal rectangle to the right of the vertical rectangle is 12 ft.
Find the slope of the line. (-5, -4) (1,-3)
Answer: The slope of the line between the points (-5, -4) and (1,-3) is 1/6 = 0.1667.
Step-by-step explanation:
To calculate the slope between two points, we apply the following formula:
[tex]\boldsymbol{\sf{m=\dfrac{\Delta y}{\Delta x} \iff \ m=\dfrac{y_2-y_1}{x_2-x_1} }}[/tex]
where m is the slope of the line.
We identify the points:
[tex]\boldsymbol{\sf{\diamond x_1=-5 \ \ \ \ \diamond y_1=-4 \ and \ x_2=1 \ \ \ \ \diamond y_2=-3 }}[/tex]
We substitute these points in the formula and solve:
[tex]\boldsymbol{\sf{m=\dfrac{-3-(-4)}{1-(-5) }=\dfrac{1}{6}=0.1667 }}[/tex]
The slope of the line between the points (-5, -4) and (1,-3) is 1/6 = 0.1667.
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Find the measures of AB and AC
Show all necessary calculations for full credit.
Applying the AA Similarity theorem:
AC = 10
AB = 20
What are Similar Triangles?If two triangles have two corresponding congruent triangles they are similar to each other according to the AA Similarity theorem, which means their corresponding sides are proportional.
Triangles DCE and ACB are similar to each other by AA Similarity theorem, therefore:
AC/CE = BC/CD
Substitute:
AC/8 = 15/12
AC = (15 * 8)/12
AC = 10
Also,
AB/16 = 15/12
AB = (16*15)/12
AB = 20
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a rectangle prism has a base that is 6 centimeters by 11 centimeters and has a height of 5.5 centimeters what is the surface area in square centimeters of the prism
the total area of all four square faces: 4 x 60.5 cm² = 242 cm²
To find the surface area of a rectangular prism, we need to calculate the area of each of its six faces and then add them up.
The two rectangular faces are congruent, so we only need to calculate one of them and multiply by 2.
The area of one rectangular face is:
6 cm x 5.5 cm = 33 cm²
Multiplying by 2 gives us the total area of both rectangular faces:
2 x 33 cm² = 66 cm²
The other four faces are also congruent, so we only need to calculate one of them and multiply by 4.
The area of one of the square faces is:
11 cm x 5.5 cm = 60.5 cm²
Multiplying by 4 gives us the total area of all four square faces:
4 x 60.5 cm² = 242 cm²
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Evaluate the expression 1/3x^2 for x=6
Please help
Solve for x. Round all intermediate values and answers to the nearest tenth . 19 70 61
12.6 is the measure of the value of x
Solving the sides of a right triangleThe given diagram is a right triangle and we need to determine the measure of value of 'x'.
First, we need to determine the measure of the height using the trigonometry identity;
cos55 = h/45
h = 45cos55
h = 25.81
Determine the measure of 'x'
tan 64 = h/x
x = h/tan64
x = 25.81/tan64
x = 12.6
Hence the measure of the value of x from the fiigure is 12.6
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Spiral Review
8. The temperature in Alaska is -6 °C and drops to -11 °C overnight.
Write and evaluate a subtraction expression to determine the change
in temperature.
Answer:
The subtraction expression to determine the change in temperature is:
-11 °C - (-6 °C)
Simplifying the expression:
-11 °C + 6 °C
The change in temperature is -5 °C.
Kristina paid mortgage interest of $6,320.00 and Medical Expenses of $$19,500.00 during 2022. Her GROSS INCOME was $32,500.
19. How much did she save by
itemizing her deductions?
Answer:
$448.25
Step-by-step explanation:
For her medical expenses, it has to be more than 7.5% of her gross income of $32,500 => 7.5% of $32,500 = $2437.5.
so her deduction for medical expenses is $19,500 - $2437.50 = $17,062.5
so her total itemized deduction is $6,320.00 + $17,062.50 = $23,382.50
Given Kristina will file a single so her standard deduction for 2022 is $12,950.
If she uses standard deduction, her taxable income is 32,500 - 19,500 = 13,000
For the first 10,000 taxed at 10% so it is 10,000 x 10% = $1,000
The next $3000 taxed at 12% = $360
Her total tax is $1,000 + $360 = $1,360
If she uses itemized deduction, her taxable income is 32,500 - 23,382.50 = 9117.5
For the first 10,000 taxed at 10% so it is 9117.5 x 10% = $911.75
The tax saved is $1,360 - $911.75 = $448.25
Hope this helps.
The sales tax in your city is
4.4
%
4.4%4, point, 4, percent, and an item costs
$
3
$3dollar sign, 3 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
The required, we need to pay $0.132 in tax on the item that cost $3.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
To calculate the amount of tax, we need to multiply the cost of the item by the tax rate. The tax rate is 4.4% or 0.044 as a decimal.
So, the amount of tax on the item is:
0.044 × $3 = $0.132
Therefore, we need to pay $0.132 in tax on the item.
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A rectangular picture frame is 6 inches wide and 10 inches tall. You want to make
the area 7 times as large by increasing the length and width by the same amount.
Find the number of inchey by which each dimension must be increased.
Step-by-step explanation:
let length and width be increased by x>0
(10+x)(5+x)=6×10×5
50+10 x+5x+x²=300
x²+15x-250=0
x²+25 x-10x-250=0
x(x+25)-10(x+25)=0
(x+25)(x-10)=0
x=-25(rejected),10
so x=10
so both the dimensions should be increase by 10 inches.
What does the index value of 99.2 in 1980 mean? Explain your reasoning.
The index value of 99.2 in 1980 mean Gas in 1980 cost 0.992 times as much as gas in 1990, because the ratio of the gas price index in 1980 to the gas price index in 1990 is 0.992, the correct option is D.
What is the ratio?
Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We are given that;
Years, prices, prices as a percentage of 1990 price, price index 1990=100
Now,
The given table shows the average gasoline prices per gallon for various years, as well as the price index for each year, with 1990 being the reference year with a price index of 100. The price index measures the change in the price of gasoline relative to the price in 1990. Therefore, the price index value of 99.2 for 1980 means that the average gasoline price in 1980 was 0.992 times the price of gasoline in 1990.
It is important to note that the gas price index does not directly measure the cost per gallon of gas. Rather, it is a measure of the change in gasoline prices over time, with a reference year (in this case, 1990) used as a baseline.
Therefore, by ratio the answer will be Gas in 1980 cost 0.992 times as much as gas in 1990, because the ratio of the gas price index in 1980 to the gas price index in 1990 is 0.992.
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Please help 13. Phil works at a department store and gets an employee discount. The price he pays can be modeled by the function d(c) = c - 0.08c , where is the original price of the item. Find d(25) and describe what this means in context.
With the original price at 25 units , he paid 23 units and d(25) means the price he paid when the original price is 25 units.
How to solve a function?Phil works at a department store and gets an employee discount. The price he pays can be modelled by the function d(c) = c - 0.08c , where c is the original price of the item.
Therefore, let's find d(25) and describes what it means.
Hence,
d(c) = c - 0.08c
where
c = original priceTherefore,
d(25) = 25 - 0.08(25)
d(25) = 25 - 2
d(25) = 23
Therefore, d(25) is the price he paid when the original price is 25 units. Therefore, he paid 23 units
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Please help me solve this question on trigonometry.
The trigonometric ratios are given as follows:
a) cos(y) = -0.94.
b) sin(x) = 0.94.
How to obtain the angle measures?The tree bisects an angle into two equal angle measures, one of which is of 70º and the other of which is of x.
Hence the measure of x is given as follows:
x = 70º.
The sine is given as follows:
sine of 70 degrees = 0.94.
The sum of the measures of the internal angles of a triangle is of 180º, hence the missing internal angle is of 20º.
An internal angle is supplementary with it's external angle, hence the value of y is given as follows:
y = 180 - 20
y = 160º.
Then the cosine is of:
cosine of 160 degrees = -0.94.
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Someone help me asap!
The sinusoidal function is y = sin(2/3x) - 5
How to determine the sinusoidal functionThe general form of a sinusoidal function is given by:
y = A sin(Bx + C) + D
where:
A is the amplitudeB is the frequencyC is the phase shiftD is the vertical shiftWe know that the period is 3π and the amplitude is 1.
So, we have
A = 1
B = (2π)/(3π) = 2/3
So, we have
y = sin(2/3x + C) + D
The point (-3π/2, -5) implies that, the function is shifted down by 5 units
So, we have
y = sin(2/3x) - 5
Hence, the function is y = sin(2/3x) - 5
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**URGENT**
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 34 minutes of calls is $14.69 and the monthly cost for 57 minutes is $17.68 . What is the monthly cost for 39 minutes of calls?
I will give brainliest. Just please help
The monthly cost for 39 minutes of calls is $14.30.
According to given information :Let's start by using the given information to find the slope and y-intercept of the linear function that gives the monthly cost in terms of the total calling time. We can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope.
Using the points (34, 14.69) and (57, 17.68), we get:
m = (17.68 - 14.69) / (57 - 34) = 0.09
To find the y-intercept, we can use the point-slope form with either of the two points:
y - 14.69 = 0.09(x - 34)
y - 14.69 = 0.09x - 3.06
y = 0.09x + 11.63
So the monthly cost (y) is a linear function of the total calling time (x) with a slope of 0.09 and a y-intercept of 11.63.
To find the monthly cost for 39 minutes of calls, we simply substitute x = 39 into the equation:
y = 0.09(39) + 11.63 = 14.30
Hence, the monthly cost for 39 minutes of calls is $14.30.
What is cost price ?
Cost price refers to the amount of money that is paid to purchase an item or produce a good. It includes all the costs incurred in the production or acquisition of an item, such as the cost of raw materials, labor, and other expenses. Cost price is important for businesses because it helps determine the profit margin on a product, which is the difference between the selling price and the cost price. A business needs to set a selling price that covers the cost of producing or acquiring a product and leaves room for profit.
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Solve: 3|x|+4≥1. Write your solution in interval notation
The solution of the inequality 3|x|+4≥1 in interval notation is {x | -1 ≤ x ≤ 1}.
What is interval notation?An interval on a number line can be represented using interval notation. It is a method of representing subsets of the real number line, in other words. The numbers in between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all values between 0 and 5 is the set of numbers x satisfying 0 x 5.
Given that the inequality is:
3|x|+4≥1
Subtract 4 from both sides of the equation:
3|x| + 4 - 4 ≥ 1 - 4
3 |x| ≥ -3
Divide 3 from both sides of the equation:
|x| ≥ -1
We know that, |x| can be written as x and -x thus,
x ≥ -1
-x ≥ -1 or x ≤ 1
Hence, the solution of the inequality 3|x|+4≥1 in interval notation is {x | -1 ≤ x ≤ 1}.
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Evaluate the expression. (2 + 4)(8 + 3)^0 Responses
Answer: The answer is 6.
Step-by-step explanation:
A carver begins work on a block of material that has a mass of 1250 g. The block's dimensions are 5 cm by 14 cm by 7 cm. What is the density of the material?
Answer:
Below
Step-by-step explanation:
Definition of density is mass / volume = 1250 g / (5 x14x7) = 2.55 gm/cm^3
Which exponential function is represented by the graph? O f(x) = 213x) O f(x) = 3(3x) O f(x) = 3(2x) O F(x) = 2(2x)
The exponential function that is represented by the graph is f(x) = 2(2x).
This is because the graph shows a function with a base of 2 and an exponent of x. The function f(x) = 2(2x) has a base of 2 and an exponent of x, so it matches the graph.
To verify this, we can plug in some values of x into the function and see if they match the points on the graph. For example, when x = 0, the function gives us f(0) = 2(2^0) = 2(1) = 2, which matches the point (0, 2) on the graph. Similarly, when x = 1, the function gives us f(1) = 2(2^1) = 2(2) = 4, which matches the point (1, 4) on the graph.
Therefore, the correct answer is f(x) = 2(2x).
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A union charges monthly dues of $5.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $31.40. How many hours did the union member work during the month of March?
The union member worked 176 hours during the month of March.
What is dues?Dues are the payment or obligation required by law or custom, it is like a monthly payment, fees or charges made by organizations.
Let h be the number of hours worked during the month of March by the union member.
According to the problem statement, the union charges monthly dues of $5.00 plus $0.15 for each hour worked during the month.
So, the total dues for the month of March can be expressed as -
Total dues = $5.00 + $0.15 x h
It is also given that the union member's dues for March were $31.40.
Set up an equation using this information as follows -
$31.40 = $5.00 + $0.15 x h
To solve for h, isolate the variable on one side of the equation.
Start by subtracting $5.00 from both sides -
$31.40 - $5.00 = $0.15 x h
Simplifying the left side gives -
$26.40 = $0.15 x h
To solve for h, divide both sides by $0.15 -
h = $26.40 / $0.15
h = 176
Therefore, the number of hours is 176.
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What is NOT an examples of a medium?
A. Photographs
B. Newspaper articles
C. Cookbook
D. Paintings
Answer:
Step-by-step explanation:
In the context of communication, a medium is a substance or material through which information or messages are conveyed from a sender to a receiver. Examples of media include photographs, newspaper articles, paintings, videos, radio broadcasts, and so on. These media carry information from the person or organization that created them to the people who consume them, whether it be to inform, entertain, or educate.
A cookbook, on the other hand, may not be considered a medium in the same way as the other options, as it is not primarily used to convey information or messages from a sender to a receiver. While a cookbook contains information, such as recipes and instructions for preparing food, this information is not usually communicated from one person to another in the same way as, for example, a photograph or a newspaper article. A cookbook is more like a reference book or guidebook, which people use to obtain information rather than as a means of transmitting information.
All of the options given could be considered examples of media. However, if we interpret "medium" as a substance or material through which something is transmitted or conveyed, then "cookbook" might not be considered a medium. A cookbook is a book that provides instructions on how to prepare food and does not necessarily serve as a substance through which information is transmitted or conveyed. So the answer would be C. Cookbook.
Answer:
C. Cookbook
Step-by-step explanation:
The other answer choices represent examples of communication medium. A communication medium is a system or channel through which information disseminated to others.
A cookbook is a set of instructions for a specific task and therefore does not fall under the generalized category of medium.
Find answers to 6,7,8
The solution is, the length of MP = 9.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
here, we have,
from the given figure we get,
MPN is a right angled triangle,
by using Pythagorean theorem, we get,
here, height = 12
hypotenuse = 15
so, base = MP
= √15² - 12²
=√81
=9
Hence, The solution is, the length of MP = 9.
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