Answer:
answer on the picture.........
What is the solution to |x-2| + 3 > 17?
Ox<-12 or x > 16
Ox<-14 or x>7
O-12
O-14
Answer:
x<-12 or x>16
Step-by-step explanation:
Answer:
|x - 2| + 3 > 17
|x - 2| > 14
x - 2 < -14 or x - 2 > 14
x < -12 or x > 16
I need help on this for real
Answer:
x < 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Gang ima just take them points tbh
Step-by-step explanation:
yo i need help now!! please!!!!
The approximate area of the composite figure is 71.13 square centimeters. None of the given answer choices are exact, but the closest one is D. 67.12 square centimeters.
What is the composite figure's square's area?Area of composite shape equals area of square plus area of rectangle. The composite shape's area is 14 + 9 = 23 square inches. The resulting composite shape has a surface area of 23 square inches.
We must first determine the areas of the three simpler shapes in order to combine them together to determine the area of the composite figure.
The first shape is a rectangle that measures 8 cm in length and 6 cm in breadth. Its surface area is 8 by 6 cm, or 48 square cm.
A semicircle with a diameter of 6 cm makes up the second form. It has a 3 centimeter radius. Half of a full circle's area is contained within a semicircle.
1/2 × π × 3 cm × 3 cm = 4.5 π square cm ≈ 14.13 square cm (rounded to two decimal places)
A triangle with a 6 cm base and 3 cm height makes up the third shape. Its geographical range is:
1/2 × 6 cm × 3 cm = 9 square cm
We sum the areas of the three shapes to obtain the area of the composite figure.
48 square cm + 14.13 square cm + 9 square cm ≈ 71.13 square cm
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Wendell wanted shoes that cost $50.
He found a discount code for 27% off. How much did Wendell save by using the discount code?
I
Answer:
$13.5
Step-by-step explanation:
50 x 0.27
= 13.5
In the figure, find the value of x that makes a ∥ b. A. 50° B. 65° C. 75° D. 95°
Answer:
B
Step-by-step explanation:
Because alternate interior angles are congruent in parallel lines, the angle next to the 25° in the right triangle is 85 - 25 = 60° which makes the other angle in the right triangle 180 - 90 - 60 = 30°. Since they form a straight angle, we can write x + 30 + 85 = 180 → x + 115 = 180 → x = 65°.
A man borrowed a sum of money from bank at an interest rate of 12%. After 1 year he paid
GHC896,000 to settle the loan and the interest. How much did he borrow from the bank?
An angle with an initial ray pointing in the 3-o'clock direction measures θ radians (where 0≤θ<2π). The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. The terminal point is how many radius lengths to the right of the circle's vertical diameter. H=____ radians
B.When we evaluate cos−1(h) using a calculator or computer, the value returned is
____ radians
c.Therefore, θ=
a) The terminal point is 0.896 radius length.
b) The value returned is -0.896.
We have,
The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:
x-coordinate of terminal point: -2.69
Number of radius lengths to the right: -2.69 / 3 ≈ -0.896
However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.
Thus, the number of radius lengths to the right is
Number of radius lengths to the right: -(-0.896) = 0.896
Therefore, the terminal point is 0.896 radius length.
b. Using Trigonometry
cos(h) = x-coordinate of terminal point / radius length
cos(h) = -2.69 / 3 ≈ -0.896
c. As, θ = h. From the given information, we have:
θ ≈ -0.896 radians
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Find the distance between A and B a= - 17/2 b=0
Answer:
-8.5
Step-by-step explanation:
To find the distance between two numbers, you subtract them.
-17/2 - 0 = -17/2
This fraction written as a decimal is -8.5
Tom will create a password for his computer. The password must be a list of three different lowercase letters of the alphabet. How many passwords are possible?
Which of the equations below could be the equation of this parabola?
OA y--¹x²
OB. x--²
C. x-²
D. y - x²
10
(0,0)
Vertex
10
An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).
How to determine the equation of a parabola?In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:
x = a(y - k)² + h.
Where:
h and k represent the vertex.a represent the leading coefficient.By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:
h = 0
k = 0
a = positive.
x = a(y - k)² + h.
x = a(y - 0)² + 0.
x = ay²
Therefore, a possible equation is x = 1/12(y²).
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Using a calculator or statistical software, find the linear regression line for the data in the table below.
Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.
x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66
Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.
To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.
Using the provided data, the linear regression line equation is:
\(\[ y = 1.3642x + 3.2324 \]\)
To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:
\(\[ y = 1.3642(7) + 3.2324 \]\)
Simplifying the equation, we get:
\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)
In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.
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AB:BD = 3:4
AC:CD = 3:2
Work out AB:BC:CD
Answer:
15:6:14
Step-by-step explanation:
AB:BD is split into a total of 3+4=7 parts.
AC:CD is split into a total of 3+2=5 parts.
So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).
AB would be (3/7)*35=15.
CD would be (2/5)*35=14
BC would be 35-(15+14)=6
So, the ratio is 15:6:14.
ethan buys vidio games for 39.99 sale on 20% how much ethan payed
The amount that Ethan pays for the video game is 47.988.
How to calculate the value?From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.
In this case, the amount that he will pay will be:
= Original amount + Tax
= 39.99 + (20% × 39.99)
= 39.99 + 7.998
= 47.988
The amount is 47.988.
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Complete question
Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed
A group of student athletes were asked which organized sport they participate in. Each athlete participates in exactly 1 sport. The results are shown in this frequency table.
How many more athletes play in the sport that has the greatest number of participants than in the sport that has the least number of participants?
Enter your answer in the box.
Sport Number of participants
Soccer 14
Baseball 12
Tennis 6
Lacrosse 10
Basketball 9
Hockey 8
Answer:
8 More athletes play soccer than tennis
Step-by-step explanation:
Work out the size of angle A
\(\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\)
\(\cfrac{sin(B)}{\overline{AC}}=\cfrac{sin(C)}{\overline{AB}}\implies \cfrac{sin(38^o)}{9}=\cfrac{sin(C)}{11}\implies \cfrac{11\cdot sin(38^o)}{9}=sin(C) \\\\\\ sin^{-1}\left[ \cfrac{11\cdot sin(38^o)}{9} \right]=sin^{-1}\left[ sin(C) \right]\implies sin^{-1}\left[ \cfrac{11\cdot sin(38^o)}{9} \right]=\measuredangle C \\\\\\ 48.81^o\approx \measuredangle C~\hspace{10em} therefore\qquad 180-38 - 48.81 ~~\approx ~~\stackrel{\measuredangle A}{93.19^o}\)
Make sure your calculator is in Degree mode.
simplify (2x-3)^3-(x-4)^3
please help urgently
Answer:
7x^3 -24x^2 +6x +37
Step-by-step explanation:
Step 1:
Expand (2x-3)^3
(2x)^3 - 3(2x)^2 * 3+3 * 2x * 3^2 -3
(8x^3 -36x^2 +54x -27)
Step 2:
Expand (x-4)^3
x^3 -3x^2 *4 +3x *4^2 -4^3
(x^3 -12x^2 +48x -64)
Step 3: Subtract and add like terms
(8x^3 -36x^2 +54x -27) - (x^3 -12x^2 +48x -64)
7x^3 -24x^2 +6x +37
Ans: 7x^3 -24x^2 +6x +37
Write [ (-4)×(-5)]^5 as a product of powers.
A.(-4)^5+(-5)^5=
b. 4^5×5=
c. (-4)^5×(-5)^5=
d.5(-4)+5(-5)=
Answer:
c
Step-by-step explanation:
I took the test and got a 4/5
Answer:
(-4)^5x(-5)^5=
Step-by-step explanation:
1. Find the volume of the cylinder. Round to the
nearest hundredths.
5 CM
0.75 CM
Answer:
Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.
Step-by-step explanation:
To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.
The formula for the volume of a cylinder is:
V = π * r^2 * h
where π is a mathematical constant approximately equal to 3.14159.
Let's substitute the given values into the formula:
V = π * (5 cm)^2 * 0.75 cm
V ≈ 3.14159 * (25 cm^2) * 0.75 cm
V ≈ 58.909 cm^3
Today’s cafeteria specials are a turkey sandwich and a pepperoni pizza. During 1st lunch, the cafeteria sold 70 turkey sandwiches and 29 pepperoni pizzas for a total of $367. During 2nd lunch, 70 turkey sandwiches and 45 pepperoni pizzas were sold for a total of $415. How much does each item cost?
Answer:
$4 and $3
Step-by-step explanation:
First, write out the equations as 70x + 29y = 367 and 70x + 45y = 415. Solve by using the elimination method by subtracting 70x from 70x. 45y minus 29y is equal to 16y. 415 minus 367 is 48. Divide 48 by 16, to get y is equal to get y is equal to three. Y represents pepperoni pizzas, so a pepperoni pizza costs $3. Plug a 3 into any equation for y and solve for x. 29 times 3 is 87. 367 minus 87 is 280. 280 divided by 70 is equal to 4, so x is equal to 4.
The cost of each turkey is $4 while the cost of each pepperoni pizza is $3
Let x represent the cost of each turkey and let y represent the cost of each pepperoni pizza.
During 1st lunch, the cafeteria sold 70 turkey sandwiches and 29 pepperoni pizzas for a total of $367, this can be represented by the equation:
70x + 29y = 367 (1)
During 2nd lunch, 70 turkey sandwiches and 45 pepperoni pizzas were sold for a total of $415. this can be represented by the equation:
70x + 45y = 415 (2)
Solving equation (1) and (2) simultaneously gives:
x = 4, y = 3
Therefore the cost of each turkey is $4 while the cost of each pepperoni pizza is $3
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Point M is the midpoint of AB. If the coordinates of A are ( -3 , 6 ) and the coordinates of M are ( -5 , 2 ), what are the coordinates of B? (reference sheet on the left side)
The coordinates of B are (-7,-2).
What do you mean by x and y coordinates?
The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.
According to the given data in the question,
if M is the location where line segment AB meets its midpoint.
Then, we will using the midpoint formula,
\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)
Putting the x-coordinates in (1),
\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)
Similarly, putting the y-coordinates in (1),
\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)
Hence, the coordinates of B are (-7,-2).
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Y varies inversely with x. If Y=17 and k(The constant of variation) =76, what is x? Round to the nearest tenth if necessary.
Answer:
x ≈ 4.5
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = \(\frac{k}{x}\) ← k is the constant of variation
Here k = 76 and y = 17 , thus
17 = \(\frac{76}{x}\) ( multiply both sides by x )
17x = 76 ( divide both sides by 17 )
x ≈ 4.5 ( to the nearest tenth )
8m/3 if m = 12
Evaluate
please help im literally crying i cant fail this
Don't cry!! You got this! Just take it one step at a time and list your known values:
h = 5 m
r = 5 m
The volume of a cone is V = (1/3)πr^2h
V = (1/3)(3.14)(5)^2(5) = 130.83 m^3
I believe in you! I hope this helps!
Answer:
I am not sure but the formula is V=1/3 (Pi × r^2 ) h
so if you place given items in this formula it will give you 1/3 × 3.14 × 5^2 × 5 = *130.80*
In the last 10 basketball games you have attempted 28 free throws and missed 7.
What is your experimental probability that you make your next free throw?
Be sure to enter your answer as reduced fraction or exact decimal
Answer:
0.5625
Step-by-step explanation:
7 is 25% of 28
21 is 75% of 28
Probability of making it is 56%
Select Is a Function or Is not a Function to correctly classify each relation.
Answer:
Is a functionIsn't a functionIs a functionIsn't a functionStep-by-step explanation:
Firs we need to understand what is a function-
from a set \(X\) to a set \(Y\) is an assignment of an element of \(Y\) to each element of \(X\).
This mean's that an element in \(X\) can't have multiples values in \(Y\), then if you find a coordinate with two different values, isn't a function.
Take for example the second data set:
\(\{(2, 3), (2, 5), (3,6), (9,4)\}\)
All is good except for the first two coordinates because \(x\) is define with two different values, then you can determinate that isn't a function.
Maybe you're confuses because exist some graphs that repeat values in \(x\) as the graph of a circle, but this in reality isn't a function, is a relation. A relation can repeat values in the set \(X\) infinity times but never is going to be a function.
1. What's the fraction 18/24 reduced to its lowest terms?
A. 12
B.24 18
C.34
D. 1824
Answer:
answer is 3 upon 4
Step-by-step explanation:
because if we reduce 18/24 to its lowest term so first we have to reduce 18 to and then 24 --- 18 is factor of 9x2 and 24 is factor of 12x2 then we have to cut 2 in both and there is answer 9 upon 12 still it is reducing so 3x3 is 9 and 3x4 is 12 so now we have to cut 3 in both the answer is 3 upon 4
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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NEED HELP URGENTLY!!!!!
20. Write a word problem such that the equation
to be formed for solving the problem is
QUESTION 6x +4(x - 10) = 140.
OPEN
In linear equation, x = 18 is the value of x in equation .
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.6x +4(x - 10) = 140.
6X + 4X - 40 = 140
10X = 140 + 40
10x = 180
x = 180/10
x = 18
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pless i really need help
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
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what is the difference between 42°c and ¬5°c
Answer:
47° c
Step-by-step explanation:
using the absolute value function to find the difference, that is
difference = | 42 - (- 5) | = | 42 + 5 | = | 47 | = 47
or
difference = | - 5 - 42 | = | - 47 | = 47