Answer:
5000000000
Step-by-step explanation:
Which choice is the correct graph of |x|< 3
The graph that shows the solution set for the given inequality is the one in option B.
Which one is the graph of the given inequality?Here we want to identify the graph of the inequality:
|x| ≤ 3
So, the absolute value of x is smaller or equal to 3, that means that the graph of the solution set is a segment whose endpoints are closed circles at x = -3 and x = 3.
(We use closed circles because these values are also solutions for the inequality).
With that in mind, we can see that the correct option in this case will be graph B.
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A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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1) f(4) = g(4)
2) f(4) = g(-2)
3) f(2) = g(-2)
4) f(-2) = g(-2)
Answer: 4)
Step-by-step explanation:
f(4) = -14
g(4) = 10
g(-2) = 4
f(2) = -8
f(-2) = 4
The correct statement is 4) f(-2) = g(-2)
Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and y = 4. So, f(-2) = g(-2) = 4 is true
Diagrams like the one in problem 3-87 are referred to as area models. Area models represent multiplication of algebraic expressions. For each multiplication expression, sketch an area model Label the dimensions and the area of each part. Then write an equation showing that the area as a product equals the area as a sum. a (x + 1)(x + 2) b. 3(2x + 5) c. (2x - 3)(x + 2) d. (x - 1)(y-1) e. --2y(y + 3) f.(-2+1)(3x + y - 4)
We have to sketch an area model for the expression:
\(3(2x+5)\)We can write it mathematically as:
\(3(2x+5)=3\cdot2x+3\cdot5=6x+15\)Then, the product of the sides 3 and (2x+5) are equal to the sum of 6x and 15.
Answer: 3(2x+5) = 6x+15
the quotient of a number x and two tenths
The quotient of a number x and two tenths is 5x
What is quotient?Quotient is defined as the quantity derived from the division of two numbers.
From the information given, we are to find the the quotient of;
a number x two tenths represented as 2/ 10 = 0. 2The quotient is written thus;
= x/ 2/ 10
Take the inverse of the denominator and multiply
= x × 10/ 2
= 10x/ 2
find common divisor
= 5x
Thus, the quotient of a number x and two tenths is 5x
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Could someone help me solve this? TIA
The exact value of the specified trigonometric identity found using the the trigonometric identity for tan(A - B) and tan(arccos(x)) and tanarcsin(x)) is presented as follows;
\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)
What is a trigonometric identity?A trigonometric identity is an equality that involves trigonometric functions that is valid for all values of the arguments of the equation
The required trigonometric identities are;
\(tan (A - B) = \dfrac{tan(A) -tan(B)}{1-tan(A)\cdot tan(B)}\)
\(tan(sin^{-1}(x)) = \dfrac{x}{\sqrt{1-x^2} }\)
\(tan(cos^{-1}(x)) = \dfrac{\sqrt{1-x^2}}{x }\)
Therefore;
\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) = \dfrac{tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)-tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}{1-tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)\times tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}\)
Which gives;
\(\dfrac{\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } -\dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} } }{1+\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } \times \dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} }}=\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }\)
\(\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }=\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)
Which indicates that we have;
\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)
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Lisa wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Lisa could use a printer who charges a setup fee of $40 and $5 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $30 and $10 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How many copies is that?Write a system of equations, graph them, and type the solution.
The equation for the first option would be
\(y=40+5x\)Where "x" is the number of copies and y the cost.
The second equation will be
\(y=30+10x\)If we graph both equations we have
As we can see, they will be equal in terms of cost with 2 copies. The cost will be 50.
We can see it at the intersection of the two graphs! we can also do it with algebra, if the costs are equal (same "y") we can say
\(\begin{gathered} 40+5x=30+10x \\ \\ 10=5x \\ \\ x=2 \end{gathered}\)The number of copies is 2.
line AB has an equation of -5=2x-y. what is the equation, in slope intercept form, of a line that is perpendicular to line AB and passes through (-3,4)
The equation, in slope intercept form, of a line that is perpendicular to line AB and passes through (-3, 4) is y = -0.5x + 2.5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Since the equation of line AB is -5 = 2x - y, the slope is given by;
y = 2x + 5
m₁ × m₂ = -1
2 × m₂ = -1
m₂ = -1/2
Slope, m₂ = -1/2
At data point (-3, 4) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 4 = -1/2(x + 3)
y = -1/2(x) + 2.5
y = -0.5x + 2.5
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the average rent of one bedroom apartment in brooklyn is 2700 in 2021,if rent will increase 2.5% in 2022 and 2.5% in 2023.what would be the average rent in 2023?
The average rent of a one-bedroom apartment in Brooklyn is estimated to be $2,836.69 in 2023 after the 2.5% increase in both 2022 and 2023
What is the percentage increase?
Percentage increase is a measure of how much a value or quantity has increased relative to its original value, expressed as a percentage.
To calculate the percentage increase, you can use the following formula:
Percentage increase = (New value - Old value) / Old value x 100%
If the average rent of a one-bedroom apartment in Brooklyn is $2,700 in 2021, and it increases by 2.5% in both 2022 and 2023, we can calculate the average rent in 2023 as follows:
Calculate the increase in rent due to the 2.5% increase in 2022:
2.5% of $2,700 = 0.025 x $2,700 = $67.50
The new rent in 2022 will be $2,700 + $67.50 = $2,767.50
Calculate the increase in rent due to the 2.5% increase in 2023:
2.5% of $2,767.50 = 0.025 x $2,767.50 = $69.19
The new rent in 2023 will be $2,767.50 + $69.19 = $2,836.69
Therefore, the average rent of a one-bedroom apartment in Brooklyn is estimated to be $2,836.69 in 2023 after the 2.5% increase in both 2022 and 2023.
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1) Pedro vai fazer um empréstimo de R$ 70.000,00 para uma reforma em seu estúdio de
fotografia e está analisando qual sistema de amortização vai utilizar, de acordo com as
propostas de uma agência financiadora, que trabalha com uma taxa de 0,85% ao mês. Ela
pretende saldar a dívida em 6 anos. Ela decidiu pelo Sistema Price, qual será o valor de cada
prestação? Qual será o valor amortizado na primeira prestação?
Answer:bb
Step-by-step explanation:
translate the problem into a mathematical sentence using e as your variable name.
roy bought 16 CDs in December. of those, 7 were world music the rest were electronic music. how many electronic music discs did he buy?
Answer:
9Step-by-step explanation:
Total CD's = 16World music = 7Electronic music = eThe expression and solution:
7 + e = 16e = 16 - 7e = 9Roy bought 9 electronic music discs
In the given set of measurements, find the measurement that is the most accurate.
0.642 cm; 0.82 cm; 14.02 cm
Answer:
0.82cm. Hjrjr
Step-by-step explanation:
Hope it helps
Somebody help me pls ♀️
1. The trigonometric ratios are given as follows:
Sine = opposite/hypotenuse.Cosine = adjacent/hypotenuse.Tangent = opposite/adjacent.2. The equation to solve for x is given as follows: sin(52º) = x/13.
3. Two equations to solve for m are given as follows:
n² + m² = l².m = square root (l² - n²).4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.
5. The lengths are given as follows:
BD = 4.3 cm.BC = 11.5 cm.What are the trigonometric ratios?The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:
sin(52º) = x/13.
In item 3, the Pythagorean Theorem is used to solve for m, as follows:
n² + m² = l².
m² = l² - n²
m = square root (l² - n²).
In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:
sin(62º) = 7/h
h = 7/sin(62º)
h = 7.9 inches.
The length BD in item 5 is obtained as follows:
cos(30º) = BD/5
BD = 5 x cos (30º)
BD = 4.3 cm.
Then the length BC is calculated as follows:
sin(22º) = 4.3/BC
BC = 4.3/sin(22º)
BC = 11.5 cm.
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Use slopes and y-intercepts to determine if the lines −3x+2y=−3 and 3x−2y=−3 are parallel.
30 points to HELP PLEASE and THANK U
A wheel of a child's bicycle has a circumference that is 50% of the circumference of a child's mountain bicycle wheel. The child's bicycle wheel has a circumference of 37.7 inches. a. What is the radius (to the nearest inch) of the child's bicycle wheel? of the child's mountain bicycle wheel? b. The child's mountain bicycle wheel takes 2 seconds to make 3 revolutions . How fast(to the nearest inch per second) is the bicycle moving?
Answer:
36960in per minute
Step-by-step explanation:
Answer:
a) 6 inchesb) 113 inches per secondStep-by-step explanation:
Let the child bicycle wheel radius be x
Then its circumference is
C = 2πxa) Solving for x
37.7 = 2*3.14xx = 37.7/6.28x = 6.0 inb) Mountain bicycle has twice the circumference of a child bicycle
In 2 seconds it makes 3 revolutions
It makes the distance of
d = 3*2*37.7 = 226.2 inches in t = 2 secondsSpeed = d/t
Speed is:
226.2/2 = 113 inches/second
The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 
Answer:
48 miles
Step-by-step explanation:
i think thats it.
Answer: 4.
Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.
Hope this helps!
Select the Correct answer: Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for each hour that he spends in the water. How much did Josh spend if he was on the river for 4 1/2 hours? $16.88, $29.87, $16.74, $28.74
Answer:12.99+ 3.75x= total. therefore, 12.99+3.75(4)= 27.99
Step-by-step explanation:
tho
How can I factor the following expression by grouping:
a) 4x^3 - 2x^2 + 8x - 4
The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping
How to factor the expression by groupingFrom the question, we have the following parameters that can be used in our computation:
4x³ - 2x² + 8x - 4
Group the expression in 2's
So, we have
(4x³ - 2x²) + (8x - 4)
Factorize each group
2x²(2x - 1) + 4(2x - 1)
So, we have
(2x² + 4)(2x - 1)
Hence, the factored expression is (2x² + 4)(2x - 1)
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46 + 15h = 66 + 7h
what is the value of h ?
701, 752 rounded to 710,000
Michael wanted to see what kitchen cleaner worked best for cleaning her counters. He used Lysol, Clorox, Pinesol, and just water. For each cleaner, he put 5 milliliters of grape juice on the counter, sprayed the cleaner, and wiped it with one paper towel.
Answer:
whichever paper towel observer's the most juice is the best brand
Which of the following is the equation for the line of symmetry in this figure?
Can someone help please!
Answer:
X=3
Step-by-step explanation:
3 is in the middle of the figure.
I hope this helps!
what is the perimeter
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
what is the slope and y intercept of b=7.11a? pls and ty
Lisa, Chau, and Austin served a total of 124 orders Monday at the school cafeteria. Chau served 8 fewer orders than Lisa. Austin served 4 times as many orders
as Lisa. How many orders did they each serve?
Answer:
Lisa: 22Chau: 14Austin: 88Step-by-step explanation:
The given relations can be used to describe each of the numbers in terms of how many Lisa served. Those can then be related by the total served.
__
setupLet L represent the number of orders Lisa served. Chau served 8 fewer, so (L -8). Austin served 4 times as many, so (4L). The total served was ...
L +(L -8) +4L = 124
solution6L = 132 . . . . . . . . add 8, combine terms
L = 22 . . . . . . . . divide by 6
L -8 = 22 -8 = 14 . . . the number Chau served
4L = 4(22) = 88 . . . the number Austin served
The numbers each served were ...
Lisa: 22Chau: 14Austin: 88Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow?
Answer:
after 2 hours, andafter 5 hoursStep-by-step explanation:
Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.
SetupThe absolute value will be 90 when the argument of the function is either -90 or +90.
The question resolves to two equations:
210 -60t = -90210 -60t = 90SolutionThese two-step linear equations can be solved in the usual way:
-60t = -300 . . . . subtract 210-60t = -120Then ...
t = -300/-60 = 5 . . . . divide by the coefficient of tt = -120/-60 = 2Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.
1. In a science lab, you collect the following sets of data. Which of the
four data sets are linear functions? If linear, determine the slope.
Answer:
data set: a ; slope: 1/2
Step-by-step explanation:
If an equation is linear, then the first common differences are all the same.
In table a:
17-12 = 5
22-17 = 5
27-22 = 5
etc.
Equation:
m represents slope
y = mx + b
y = mx + 12 (y-intercept is 12)
17 = 10m + 12
10m = 17-12
10m = 5
m = 10/5 = 1/2
CAN ANYONE HELP ME ASAP PLZ!? I WILL MARK BRAINLIEST!
-
What is the length of a leg of a 45-45-90 triangle if the hypotenuse is 13 square roots of 2?
Answer: is 13
Step-by-step explanation: no explanation
2
Select the correct answer from each drop-down menu.
Triangle ABC is shown in the coordinate plane. It is translated 6 units left and 4 units down. Then it is dilated by a scale factor of 3 centered about the
origin. Complete the statements.
-6 -4
v.
6
4-
2-
lo
-2-
-4-
-6-
The translation of triangle ABC
A
2
с
6
B
Reset
The dilation of triangle ABC
Next
For the transformations of the triangle, we have that:
1. The translation of triangle ABC preserves side lengths and angles.
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,
1. The translation of triangle ABC preserves side lengths and angles.
For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
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The length of a rectangular field is represented by the expression 14x-3x2+2y The width of the field is represented by the expression 5x-7x2+7y How much greater is the length of the field than the width?
9x+4x2-5y
9x-10x2-5y
19x+4x2+9y
19x-10x2+9y
The length of the field is 9x + 4\(x^{2}\)- 5y greater than the width.
Here the length of the field is 14x -3\(x^{2}\) + 2y and the width of the field is 5x - 7\(x^{2}\) + 7y
Now we have to find how much the length of the field is greater than the width of the field.
14x - 3\(x^{2}\) +2y -( 5x - 7\(x^{2}\) +7y)
14x - 3\(x^{2}\)+ 2y - 5x + 7\(x^{2}\) - 7y
9x +4\(x^{2}\) - 5y
Therefore the length is 9x + 4\(x^{2}\) -5y greater than the width of the rectangle.
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