Answer: One possible expression that equals the target number (-2) using the given numbers (-1, -3, -5, -7, and -2) and basic arithmetic operations (+, -, *, /) is:
-3 * (-5) + (-7) - (-2) / (-1) = -2
Explanation:
-3 * (-5) = 15 (multiplication of -3 and -5 gives +15)
-7 - (-2) = -5 (subtracting a negative is the same as adding a positive, so -7 - (-2) = -7 + 2 = -5)
-2 / (-1) = 2 (dividing a negative number by a negative number gives a positive result, so -2 / (-1) = 2)
Therefore, 15 + (-5) + 2 = -2
Step-by-step explanation:
Find the value of x
X=
Answer:57
Step-by-step explanation:
I need help in this please
The x-intercepts and y-intercepts of the graph include the following:
x-intercept: B. -1.
y-intercept: D. none.
The equations for all vertical and horizontal asymptotes are as follows;
Vertical asymptote: x = 1.
Horizontal asymptote: y = 4.
What is the x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
What is an asymptote?In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch. Additionally, the vertical asymptote of a function simply refers to the value of x which makes its denominator equal to zero (0).
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Lim had $5145. He withdrew an additional $1040 from his bank account.
divided the total amount equally among his 5 sons. How much did each
receive?
Lim initially had $5145, and he withdrew an additional $1040 from his bank account, so he had a total of:
$5145 + $1040 = $6185
Lim divided this total amount equally among his 5 sons, so each son would receive:
$6185 ÷ 5 = $1237
Therefore, each son would receive $1237.
If you can please help !! (the question is provided below)
Answer:
The distance between the student and the mirror is 7.5 feet.
Step-by-step explanation:
We can use similar triangles to solve this problem.
Let's call the distance between the student and the mirror "d". We can create a right triangle with the student's height as one leg, the distance "d" as the other leg, and the hypotenuse being the line from the student's eyes to the top of the school. Let's call the length of this line "h".
We can also create a second right triangle with the height of the school as one leg, the distance from the school to the mirror as the other leg, and the hypotenuse being the same line from the student's eyes to the top of the school.
Since these two triangles share an angle (the angle formed by the line from the student's eyes to the top of the school and the ground), they are similar triangles. This means that the ratios of their corresponding sides are equal.
We can set up the following proportion:
(student height) / d = (school height) / (distance from school to mirror)
Plugging in the given values, we get:
4.5 / d = 30 / 50
Simplifying, we get:
4.5 / d = 3 / 5
Cross-multiplying, we get:
3d = 22.5
Dividing by 3, we get:
d = 7.5
Therefore, the distance between the student and the mirror is 7.5 feet.
The distance of the student to the mirror, is 7.5 ft
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that, a mirror is placed outside a school the distance from the school to the mirror is 50 ft and the height of the school is 30 ft we need to find the distance of the student to the mirror,
This arrangement is creating two similar triangles, here we will use the properties of the similar triangles, to find the distance of the student to the mirror,
Therefore,
30 / 4.5 = 50 / d
d = 50 x 4.5 / 30
d = 225 / 20
d = 7.5
Hence, the distance of the student to the mirror, is 7.5 ft
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pls show work i’m struggling
The distance between points A and B is 6 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We are given that;
The points= (-1.4) and B (5.-2)
Now,
To find the distance between points A (-1.4) and B (5.-2), we can use the distance formula:
d = [tex]\sqrt((x2 - x1)^2 + (y2 - y1)^2)[/tex]
where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively.
Substituting the values we have:
[tex]\sqrt{(5 - (-1))^2 + (-2 - (-4))^2}[/tex]
d = [tex]\sqrt{(5 + 1)^2 + (-2 + 2)^2}[/tex])
d = [tex]\sqrt{(6^2 + 0^2)}[/tex]
d = [tex]\sqrt{36}[/tex]
d = 6
Therefore, by the distance formula answer will be 6 units.
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A circular walking path is modeled by (x + 3)2 + (y − 4)2 = 64, where all measurements are in meters. Center at (−3, 4); r = 8 Center at (−3, 4); r = 64 Center at (3, −4); r = 8 Center at (3, −4); r = 64
To find the circle with center (3, -4) and radius 64, we again replace 64 with 64² in the equation, and get:
(x - 3)² + (y + 4)² = 4096
What would be a circular example?Several everyday items, such as turning ceiling fans, turning car wheels, spinning windmill blades, and turning gas turbine gears, exhibit circular motion. Another is an earth-orbiting satellite that was built by people.
The equation (x + 3)² + (y - 4)² = 64 represents a circle with center (-3, 4) and radius 8.
To find the circle with center (-3, 4) and radius 64, we replace 64 with 64² in the equation and get:
(x + 3)² + (y - 4)² = 4096
This circle has center (-3, 4) and radius 64.
To find the circle with center (3, -4) and radius 8, we replace (x + 3) with (x - 3) and (y - 4) with (y + 4) in the equation, and get:
(x - 3)² + (y + 4)² = 64
This circle has center (3, -4) and radius 8.
To find the circle with center (3, -4) and radius 64, we again replace 64 with 64² in the equation, and get:
(x - 3)² + (y + 4)² = 4096
This circle has center (3, -4) and radius 64.
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Given the definitions of f(x) and g(x) below, find the value of f(g(2)).
f(x) = 2x² + x - 13
g(x) = x - 6
Answer:
21 is the value of f(g(2)) in functions.
What is a function, exactly?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). Mathematics is rife with functions , and the sciences depend on them for constructing physical relationships.
f(x) = 2x² + x - 13
g(x) = x - 6
the value of f(g(2))
g(2) = 2 - 6
= -4
f(g(2)) = 2x² + x - 13
= 2(-4)² + 2 - 13
= 32 - 11
= 21
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please help me :(
use the Remainder Theorem and synthetic division please
The value of the functions are,
⇒ f (- 10) = 20201
⇒ f (2) = 17
⇒ f (3) = 143
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The value of function is,
⇒ f (x) = 2x⁴ + x² - 10x + 1
Now, We can find all the values as;
At x = - 10;
⇒ f (x) = 2x⁴ + x² - 10x + 1
⇒ f (- 10) = 2 (- 10)⁴ + (- 10)² - 10 (- 10) + 1
⇒ f (- 10) = 20000 + 100 + 100 + 1
⇒ f (- 10) = 20201
At x = 2;
⇒ f (x) = 2x⁴ + x² - 10x + 1
⇒ f (2) = 2 (2)⁴ + (2)² - 10 (2) + 1
⇒ f (2) = 32 + 4 - 20 + 1
⇒ f (2) = 17
At x = 3;
⇒ f (x) = 2x⁴ + x² - 10x + 1
⇒ f (3) = 2 (3)⁴ + (3)² - 10 (3) + 1
⇒ f (3) = 162 + 9 - 30 + 1
⇒ f (3) = 143
Thus, The value of the functions are,
⇒ f (- 10) = 20201
⇒ f (2) = 17
⇒ f (3) = 143
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what is the mean absolute deviation of 42, 45, 47, 50, 53, 56, 58, 65
The mean absolute variation for the group of integers 42, 45, 47, 50, 53, 56, 58, and 65 is therefore roughly 6.5.
How does one standard deviation mean?What one standard deviation (SD) means. on a normal or bell-shaped distribution of the data. The region of a bell curve starting at position 13 on the y axis is approximately filled by 1 SD = one standard deviation = 68% of a ratings or data values.
Here's how to find the mean absolute deviation of the set of numbers 42, 45, 47, 50, 53, 56, 58, and 65:
Find the mean:
mean = (42 + 45 + 47 + 50 + 53 + 56 + 58 + 65) / 8
mean = 50.375
Find the absolute difference between each number and the mean:
|42 - 50.375| = 8.375
|45 - 50.375| = 5.375
|47 - 50.375| = 3.375
|50 - 50.375| = 0.375
|53 - 50.375| = 2.625
|56 - 50.375| = 5.625
|58 - 50.375| = 7.625
|65 - 50.375| = 14.625
Find the average of these absolute differences:
mean absolute deviation = (8.375 + 5.375 + 3.375 + 0.375 + 2.625 + 5.625 + 7.625 + 14.625) / 8
mean absolute deviation ≈ 6.5
Therefore, the mean absolute deviation of the set of numbers 42, 45, 47, 50, 53, 56, 58, and 65 is approximately 6.5.
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Para un cóctel se compraron 500 panes y sólo se utilizó el 75% cuántos panes se consumieron
Se compraron 500 panes, pero solo se utilizó el 75%, lo que significa que se consumió el 100% - 75% = 25% de los panes. Para calcular la cantidad de panes que se consumió, podemos multiplicar la fracción de panes consumidos (25% o 0.25) por el número total de panes:
0.25 x 500 = 125
Por lo tanto, se consumieron 125 panes en el cóctel.
See photo for question and graph
The radius of the circle E is 27/5.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.
Since the radius of B is 3, AX = 4.
Assume AE = p.
Then EX and EY are radii of circle E and have length 4 + p.
AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.
Using the Law of Cosines on Δ CAE, we obtain
(6+p)² =p² + 64 - 2(8)(p) cos 60
The 2 and the cos 60 terms cancel out:
p² + 12p + 36 = p² + 64 - 8p
12p+ 36 = 64 - 8p
p = 28/20
= 7/5
The radius of circle E is 4 + (7/5)
= 27/5
Hence, the radius of the circle E is 27/5.
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Kathleen begins working and at age 32she invests $6000.0 into a retirement account that pays an APR of 6.4% compounded monthly. She expects to retire at age 65. What will be the size of Kathleen’s total interest when she retires?
By answering the above question, we may state that Hence, when interest Kathleen retires, her total interest will be $10,389.
what is interest ?Divide the principal by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This method makes it easiest to compute interest. The most typical technique to figure out interest is as a portion of the principle sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an annual percentage of the loan total. The interest on the loan is this percentage.
[tex]FV = PV x (r/n + 1)(n*t)[/tex]
where: $6,000 is the initial investment's present value, or PV.
6.4% is the yearly interest rate at zero.
n = 12 is the number of times interest is compounded annually (monthly)
33 years are equal to t. (from age 32 to age 65)
When we enter the values, we obtain:
FV = $6,000 x (1 + 0.064/12)(12*33) FV = $6,000 x (1 + 0.00533)396 FV = $6,000 x 2.7315 FV = $16,389 FV = $6,000 x 2.7315 FV = $16,389.0
As a result, Kathleen's retirement account will be worth $16,389.0 when she turns 65.
The difference between the future value and the initial investment is the total interest that Kathleen will earn:
Total interest is equal to $16,389 minus $6,000
Interest totaled $10,389.0.
Hence, when Kathleen retires, her total interest will be $10,389.
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Which is the same as dividing a number by 1,000? CLEAR CHECK Move the decimal 3 places to the right. Move the decimal 3 places to the left. Move the decimal 1 place to the right. Move the decimal 1 place to the left.
Answer:
Moving the decimal 3 places to the left.
Step-by-step explanation:
Take the number 3000 and divide it by 1000 in your calculator. You will get the answer 3. Although we do not write it, the decimal in the number 3000 is at the end of the number (after the last zero). When we divide by 1000, we move the decimal 3 places to the let. The decimal in the number 3 is at the end or to the right of the 3, we just do not write the decimal.
Helping in the name of Jesus.
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWER
I think it is C. but i am a little rusty
A restaurant offers a 13% discount on all of its food. What is the new total after the discount has
been applied to a bill of £39?
Give your answer in pounds and include the £ sign.
Answer:
£33.93
Step-by-step explanation:
A 13% discount means that the new price will be 87% of the original, as 100 - 13 = 87.
This can be calculated by converting the percentage into a decimal, then multiplying by the decimal:
87 / 100 = 0.87
39 * 0.87 = 33.93
8.5 inches long. If the actual length of the line is 9.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
By answering the above question, we may infer that The inaccuracy, equation when rounded to the closest tenth of a percent, is around 6.6%. The measurement's percent error is 6.6% as a result.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
The following formula may be used to get the percent error:
percent error is calculated as follows: 100% divided by (actual value - measured value).
Whereas, "|" stands for absolute value.
In this instance, the measured measurement is 8.5 inches, whereas the real value is 9.1. Hence, by entering these values into the formula, we may obtain:
error = |(9.1 - 8.5) / 9.1| x 100% error = 6.59%
The inaccuracy, when rounded to the closest tenth of a percent, is around 6.6%. The measurement's percent error is 6.6% as a result.
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Write the following number in words: 3 811 459
Answer: three million eight hundred eleven thousand four hundred fifty nine
1 000 000 = million
100 000 = hundred thousand
10 000 = ten thousand
1 000 = one thousand
100 = one hundred
10 = ten
1 = one
When I would look at questions like this I would use this chart and replace the numbers and I found that this really helped
In 50 words or fewer, describe the relationship between the volumes of a cylinder
and a cone that have the same size base and equal heights.
These figures have curved surfaces, not flat faces. A cylinder is similar to a prism, but its two bases are circles, not polygons. Also, the sides of a cylinder are curved, not flat. A cone has one circular base and a vertex that is not on the base.
When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y =-2x + 4,
y =-;
[*-1
What is the solution to the system?
The solution to the system of equations is x = 1.8, y = 0.4.
What is the solution to the system?
To graph the second equation, we can start by plotting the y-intercept of -1 on the y-axis. Then, using the slope of -1/3, we can find another point on the line.
For example, we can move down one unit and to the right three units from the y-intercept, which gives us the point (3,-2).
Graph of the two equations:
y = −2x + 4,
y = − 1/3x − 1
From the graph (check the image attached), we can see that the two lines intersect at the point (1.8, 0.4).
Therefore, the solution to the system of equations is x = 1.8, y = 0.4.
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The complete question is below:
The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the system of equations.
y = −2x + 4,
y = − 1/3x − 1
What is the solution to the system?
at noon a weatherman recorded the temperature of each city in the area. What was the highest temperature?
The highest temperature on record belongs to California's Death Valley which, in 1913, reached a temperature of 134 degrees Fahrenheit, or 56.7 degrees Celsius, Al Jazeera reports.
What was the Highest temperature?The highest temperature in India is found in this city, situated at a height of 178 metres in Rajasthan, the country's biggest state. There, 50 degrees Celsius has been recorded as the greatest temperature to date. Extreme weather may be found in the city both in the summer and the winter.
However, according to the India Meteorological Department, the highest temperature ever recorded in India was 51°C (123.8°F) in the town of Phalodi, Rajasthan on May 19, 2016. It's important to note that temperatures can vary greatly depending on the location and time of year.
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Identify the factor pair of ac you could use to rewrite b to factor the trinomial by grouping.
3x²2² +11x-4
The factors of ac are
(Use a comma to separate answers as needed.)
(x+4), (3x-1) are the required factors in the given trinomial solution.
The solution provided below has been developed in a clear step by step manner.
Step: 1
Given polynomial is 3x²2² +11x-4
=3x(x+4)-1(x+4)
=(x+4)(3x-1)
Explanation: Please refer to solution in this step.
Step: 2
(x+4), (3x-1) are the required factors
A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them. Factors can be found using either division or multiplication.
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HELP I NEED IT ASAP PLS ILL GIVE BRAINLIEST TOO!! 100 POINTS!!!
A race car drove around a circular track that was 0.4 mile. If 1 mile = 5,280 feet, what is the radius of the track, in feet? Use π = 3.14 and round to the nearest hundredth.
107.11 feet
214.21 feet
336.31 feet
672.61 feet
Step-by-step explanation:
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. In this case, the circumference of the circular track is 0.4 mile, which is equal to 2112 feet (0.4 x 5280 = 2112).
Therefore, we can write the equation:
2112 = 2πr
Solving for r, we get:
r = 2112 / (2π)
r ≈ 336.31 feet (rounded to the nearest hundredth)
Therefore, the radius of the track, in feet, is approximately 336.31 feet. The closest option to this answer is 336.31 feet.
Answer:
334.31
Step-by-step explanation:
please give brainliest
The local seven-digit telephone numbers in city A have 719 as the first three digits . How many different telephone numbers are possible in city A?
There are 10,000 different telephone numbers possible in city A.
Since the first three digits of the telephone number are fixed to be 719, we only need to consider the possible combinations for the last four digits.
Each of the last four digits can be any of the ten digits 0 through 9, so there are 10 choices for each of the four digits. Therefore, the total number of possible telephone numbers is:
10 × 10 × 10 × 10 = 10,000
Therefore, there are 10,000 different telephone numbers possible in city A.
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view attached images
The answer is that the Rental agency will earn a maximum income of 25200 dollars when it charges 60 dollars per day.
What is Income?We can Define Income as it is the money that an individual or organization receives in return for their services or goods.
Given,
440 cars at a rate of 40 dollars per day
Each 1dollar increase in rate and 10 fewer cars rented.
Rental:
R(x) = ( 40 + x ) dollars per car per day
A number of cars rented :
N(x) = 440 - 10 x
Income:
[tex]I = (40+x)(440-10x)[/tex]
For maximum Income,
[tex]\frac{dI}{dx} = 0[/tex]
Then,
[tex]\frac{dI}{dx} = \frac{d}{dx} [(40+x)(440-10x)][/tex]
Using formula
[tex]\frac{d}{dx} (u,v)=u \frac{d}{dx}v+v \frac{d}{dx}u[/tex]
Then,
[tex]\frac{d}{dx} [(40+x)(440-10x)]=(40+x) \frac{d}{dx}(440-10x)+(440-10x)\frac{d}{dx}(40+x)[/tex]
[tex](40+x)(-10) + (440-10x)(1) = 0[/tex]
[tex]-400 -10x + 440 - 10x = 0[/tex]
[tex]40 - 20x = 0[/tex]
[tex]20x = 40[/tex]
[tex]x=\frac{40}{20}[/tex]
[tex]x = 20[/tex]
Rental :
[tex](40 +x) = (40+20) = \$\ 60[/tex]
And maximum income:
[tex]= (40+x)(440-x)[/tex]
[tex]= (40+20)(440-20)[/tex]
[tex]= 60 * 420[/tex]
[tex]= \$\ 25200[/tex]
Rental agency will earn a maximum income of 25200 dollars when it charges 60 dollars per day.
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common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and 95th percentile for men . In designing a work table the sitting knee height must be considered. Males have sitting knee heights that are normally distributed with a mean of 21.3 and s/d 1.2, Females have a mean of 19.9 in and a s/d of 1.1 . what is the minimum clearance required for safety of fitting 95% of men . True or False if 95% clearance for males ,there will certainly be clearance for all 5% of women. does the table fit anyone , what percentage. What percentage of womenfit the table.
The minimum clearance required for safety of fitting 95% of men is approximately 18.7 inches.
What is percentage ?
Percentage is a way of expressing a proportion or a ratio as a fraction of 100. It is often represented by the symbol % and is used to compare values, make comparisons, and analyze data. For example, if there are 25 red marbles and 75 green marbles in a jar, the percentage of red marbles is 25% (25/100), while the percentage of green marbles is 75% (75/100). Percentages are commonly used in many fields, including finance, business, statistics, and science.
To determine the minimum clearance required for safety of fitting 95% of men, we need to find the value of the sitting knee height at the 95th percentile for men.
Using the formula for a normal distribution, we can calculate that the sitting knee height at the 95th percentile for men is approximately 23.2 inches.
Therefore, the minimum clearance required for safety of fitting 95% of men would be the difference between the sitting knee height at the 95th percentile for men (23.2 inches) and the height of the work table.
Therefore, the minimum clearance required for safety of fitting 95% of men is approximately 18.7 inches.
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come up with a model of your function. Explain your process
To model with mathematics is to test ideas using math and computer programs to simulate an object or action.
What do you mean by mathematical modeling?In order to understand a real-life problem, modelling entails developing a set of mathematical equations that accurately reflects a situation.
The model frequently needs to be modified because it does not adequately capture the situation.
By knowing how the system functions, which variables are significant in the system, and how they relate to one another, one can utilise a mathematical model to better understand a real-life situation. Moreover, models can be used to forecast and predict what a system will do in the future or for various parameter values. Finally, a model can be used to estimate variables that are challenging to precisely evaluate.
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How much would it cost for a customer to purchase 20 subscriptions for each of their 20 employees after a free 30-day trial period, with each subscription costing $10 per month for a yearly commitment? Additionally, they will need 1 extra subscription for a different service for every two employees, with each of these subscriptions costing $5 per month for a yearly commitment. What would be the total cost for the customer for the entire year
The total cost for the customer for the entire year is $48,600.
How to the total cost for the customer for the entire yearThe customer wants to purchase 20 subscriptions for each of their 20 employees, so they need a total of 20 x 20 = 400 subscriptions.
Each subscription costs $10 per month for a yearly commitment,
so the cost for one subscription for a year would be $10 x 12 = $120.
Therefore, the total cost for 400 subscriptions for a year would be $120 x 400 = $48,000.
In addition, they need 1 extra subscription for a different service for every two employees, so they need 20 / 2 = 10 extra subscriptions.
Each extra subscription costs $5 per month for a yearly commitment, so the cost for one extra subscription for a year would be $5 x 12 = $60.
Therefore, the total cost for 10 extra subscriptions for a year would be $60 x 10 = $600.
Adding the cost of the extra subscriptions to the cost of the regular subscriptions, the total cost for the customer for the entire year would be $48,000 + $600 = $48,600.
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find the 7th term in the sequence an= 1/2(3)^n-1
NEED IT SOONNNNNN
This should be the correct answer
Exact Form:
729/2
Decimal Form:
364.5
Mixed Number Form:
364 1/2
PRYZ is a square. If RK = 5, RY=5, find each measure. KZ= ? YP = ? m<PRZ =? m<ZYKZ=?
The solution is, in PRYZ square, the value of m∠YKZ = 90.
What is a square?A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
here, we have,
Remember that
In a Square
All sides are equal
Diagonals bisect each other perpendicularly
so
Find out KY
In the right triangle RYK
Applying the Pythagorean Theorem
RY^2=RK^2+KY^2
substitute given values
13^2=5^2+KY^2
KY^2=13^2-5^2
KY^2=144
KY=12
Find out PK
Remember that
Diagonals bisect each other perpendicularly
that means
PK=KY=12
Remember that
Diagonals bisect each other perpendicularly
so, that means
m∠YKZ = 90
Hence, The solution is, in PRYZ square, the value of m∠YKZ = 90.
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1. Find x, the missing
side length in the right
triangle.
36
X
77. What can Brainly not get answer any question or slove any problem I paid for it but will be the last time not worth one dollar but you charged $24
Answer:
The correct answer you're looking for is either 85, or 68.07 (rounded)
The correct answer is if x is the hypotenuse or the most extensive length than its 85.
If x is one of the legs then 68.07 (rounded) is the correct answer.
Recommendation:
When trying to solve for a missing length you need to be sure whether it's just a leg or the hypotenuse, usually would be obvious in a picture as the sides attached to the 90º angle are usually legs and the one opposite of it is the hypotenuse.
Anywho below are the two different ways to get the answer.
Disclaimer:
There will be two answers that I will have given and I would suggest looking at the question to see which one it is, I am not only giving one possible answer. (Also very long answer, sorry!)
Note:
If messaged or commented on which numbers go on which side I'll be more than happy to confirm one answer.
Step-by-step explanation:
Figuring out only if X is Hypotenuse:
To solve for a hypotenuse you need to use the equation for the Pythagorean Theorem which states: [tex]a^{2} +b^{2}= c^{2}[/tex].
In this case, 36, and 77 are the two legs that make up this triangle.
We would insert these two numbers to replace a and b for when solving the equation.
Now you have [tex]36^{2}+ 77^{2}= c^{2}[/tex].
You then do the exponent operations for the terms that we know the values of and also add them up together to get this equation:
1296 + 5929 = 7725 or [tex]c^{2}[/tex].
After that, we'll make sure to add the terms on the first side and keep [tex]c^{2}[/tex] on the other and to also square root them giving this equation: [tex]\sqrt{7725} = \sqrt{c^{2}[/tex].
With that, your answer is 85 = X
Figuring out only if X is a Leg:
Figuring out only if X is Hypotenuse:
To solve for a leg you need to use the equation for the Pythagorean Theorem which states: [tex]c^{2}- b^{2}= a^{2}[/tex]
In this case, 36, is one of the two legs that make up this triangle while 77 is the Hypotenuse.
We would insert these two numbers to replace b and c when solving the equation.
Now you have [tex]72^{2} -36^{2} =a^{2}[/tex]
You then do the exponent operations for the terms that we know the values of and also add them up together to get this equation:
5929 - 1296 = 4633 or [tex]a^{2}[/tex]
After that, we'll make sure to subtract the terms on the first side and keep [tex]a^{2}[/tex] them on the other and also to square root them giving this equation:
[tex]\sqrt{4633} =\sqrt{a^{2} }[/tex]
With that, your answer is 68.07 (rounded) = X
I hope this was helpful!