The book does nick shelve in 2 hours is 60.
What is graph?
Given coordinates:
(0, 0), (2, 60) and (4, 120).
If we look at the coordinates (2, 60)
The value corresponds to 2 hours is 60.
Hence, the book nick shelves in 2 hours is 60.
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Find the value of y when x equals 4.
-3x + 9y = -57
Answer:
y = -5
Step-by-step explanation:
Isolate y:
-3x + 9y = -57
9y = -57 + 3x
y = (-57/9) + (3/9)x
Substitute for x:
y = (-57/9) + (3/9)(4)
y = (-57/9) + (12/9)
y = (-45/9)
y = -5
Answer:
[tex]\mathsf {y = -5}[/tex]
Step-by-step explanation:
[tex]\textsf {Given :}\\\textsf {-3x + 9y = -57}[/tex]
[tex]\textsf {Divide throughout by 3 :}[/tex]
[tex]\mathsf {\frac{1}{3} \times (-3x + 9y) = \frac{1}{3} \times -57}[/tex]
[tex]\mathsf {-x + 3y = -19}[/tex]
[tex]\textsf {Substitute x = 4 :}[/tex]
[tex]\mathsf {-(4) + 3y = -19}[/tex]
[tex]\mathsf {3y = -15}[/tex]
[tex]\textsf {Divide by 3 on both sides :}[/tex]
[tex]\mathsf {\frac{3y}{3} = \frac{-15}{3} }[/tex]
[tex]\mathsf {y = -5}[/tex]
Which solid could have exactly two planes of symmetry?
Square Prism
Cylinder
Pentagonal Pyramid
Triangular Prism
Answer:
Triangular Prism
Step-by-step explanation:
A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. An isosceles triangular based prism has 2 planes of symmetry. An isosceles triangular based prism has 2 planes of symmetry. An isosceles triangular based prism has 2 planes of symmetry.
document attached. please help!!
Answer:
The answers to different parts for ratio are - 3:5,3:5,3:5,9:25,graph C respectively .
Step-by-step explanation:
A ratio is a relationship between two quantities, normally expressed as the quotient of one divided by the other, or the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
a) The ratio of the median weekly earnings of the holder of a high school diploma only to the median weekly earnings of the holder of a bachelor's degree - 750/1250 = 3:5
b) The ratio of the area of the red rectangle to the area of the blue rectangle - 750 x 1 / 1250 x 1 = 3:5
c) The ratio of the area of the red square to the area of the blue square in graph B - 3:5
d) the ratio of the volume of the red cube to the volume of the blue cube in graph C - 750 x 750 /1250x 1250 =9:25
e) The most misleading graph is graph B because the distribution of values , depth, and shapes differ.
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DO NOT PUT A WRONG ANSWER OR ELSE I WILL START TO REPORT YOU!!!
A person who is 6 feet tall is walking away from a lamp post at the rate of 40 feet per minute. When the person is 10 feet from the lamp post, his shadow is 20 feet long. Find the rate at which the length of the shadow is increasing when he is 30 feet from the lamp post.
evaluate 2b^3 where b = 3
Answer:
Answer=54
Step-by-step explanation:
Given:- b=3
2b³
Solution:-
2 x b³
2 x 3 x 3 x 3
6 x 9
54 (answer)
Hope this helps you
Have a good day.
Determine the value(s) for which the rational expression −5u+12−2u+2 is undefined. If there's more than one value, list them separated by a comma, e.g. u=2,3.
The value(s) for which the rational expression −5u+12−2u+2 is undefined is u = 1.
What is radial expression?The expression or an equation which can be undefined at some point is a celled the radial expression.
f(u) = -5u +12 / -2u +2
For the function to be undefined, denominator must be equal to zero.
-2u +2 =0
-2u =-2
u = 1
Thus, the value for which the given expression is undefined is 1.
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Which of the following displays is a relative frequency bar graph?
A bar graph titled eye color has color on the x-axis. Blue, 8; brown, 10; green, 6; hazel, 5; gray, 1.
A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.
A bar graph titled Caffeinated Drinks has drink on the x-axis. Coffee, 9; tea, 8; soda, 8; energy, 3.
A bar graph titled social media preferences has platform on the x-axis . Upstart, 4; Aster, 18; Babble, 15; Techy, 12.
Mark this and return
The answer choice which represents a relative frequency bar graph is; A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.
What is Relative frequency?The statistical definition of relative frequency is simply the ratio of the frequency of an event in a statistical experiment with respect to the total frequency. Hence, since the frequencies in the social media bar chart as decimals (fractions of a whole), it follows that it is a relative frequency representation.
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Answer Its B
Step-by-step explanation:Edge 2022 I guess
x(x - 5) = -4
Solve the equation, using the quadratic formula.
What value represents the vertical translation from the graph of the parent function f(x)=x² to the graph of the function
g(x)=(x+5)2+3?
-5
-3
O
3
O5
The value is 3 which represents the vertical translation from the graph of the parent function f(x)=x² option third 3 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = x²
The above function is a parent function.
The translation: vertical translation from the graph of the parent function.
F(x) → f(x) + 3
F(x) = x² + 3
The above function will shift vertical up by 3 units.
Thus, the value is 3 which represents the vertical translation from the graph of the parent function f(x)=x² option third 3 is correct.
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Steve is ordering burgers and individual pizzas for $1000. He plans to buy not more than 80 items. The costs of each burger and each pizza are $7 and $4. Select the inequality that describes this situation. Use the given numbers and the following variables. x = the number of burgers. y = the number of pizzas.
[tex]x+y\leq 80[/tex]
[tex]7x+4y=1000[/tex]
The number of burgers = [tex]x[/tex]
the number of pizzas = [tex]y[/tex]
the cost of each burger = $[tex]7[/tex]
the cost of each pizza = $[tex]4[/tex]
not more than 80 items: [tex]x+y\leq 80[/tex]
total price =[tex]7x+4y=1000[/tex]
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On a number line, 6.87 would be located
6.87
A. To the right of 6.81
B. Between 6 and 6.5
C. Between 6.5 and 7
D. To the left of 6.81
Check all that apply.
What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
The value of x in the right angle triangle is 45 / 4 units
How to find the side of a right triangle?AB² = 20² - 15²
AB = √400 - 225
AB = √175
AB = √175 units
Hence, using similarity ratio,
x / 15 = 15 / 20
cross multiply
20x = 225
x = 225 / 20
x = 45 / 4
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Solve −x+5≤4 or 2x+3≥−1 and write the solution in interval notation.
Answer:
Step-by-step explanation:
[tex]\left \{ {{-x+5\leq 4} \atop {2x+3\geq -1}} \right.[/tex] ⇒ [tex]x\geq 1\\2x\geq 4\\x\geq -2[/tex]
or
[tex]x \geq -2\\(-2,+ { \infty} )[/tex] (Answer)
Give the domain and range. A relation. An arrow goes from negative 2 to 4, from 0 to 6, from 2 to 8. a. domain: {–2, 0, 2}, range: {4, 6, 8} b. domain: {0, 2}, range: {6, 8} c. domain: {4, 6, 8}, range: {–2, 0, 2} d. domain: { 6, 8}, range: {0, 2} Please select the best answer from the choices provided A B C D
Answer:
domain= (-2,0,2)
range= (0,4)
Consider the equation below. "-2(5x+8)=14+6x" The equation was solved using the following steps.
The equation -2(5x+8) = 14+6x solved using step by step representation is x = -15/8.
Solving steps for the EquationThe equation to be considered as given in the task content is; -2(5x+8)=14+6x.
It follows from the task content that the steps for solving the equation are as follows;
-2(5x+8) = 14+6x
Step 1: opening parenthesis-10x - 16 = 14 + 6x
Step 2: collect like terms-10x - 6x = 14 + 16
Step 3: evaluate-16x = 30
Step 4: Divisionx = 30/-16
x = -15/8
Hence, the value of x upon solving the equation is; -15/8.
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What is a necessary step for constructing perpendicular lines through a point off the line?
Answer:
Find another point on the perpendicular line.
Step-by-step explanation:
Given an original line "m", and a point off the line "Q", in order to construct a second line "p", meant to be perpendicular to "m" through the point "Q", fundamentally, the only truly necessary step to construct a perpendicular line through is to find another point on the yet-to-be-found perpendicular line.
Most often, this is accomplished by exploiting the fact that "p" is the set of all points that are equidistant from any pair of points that are symmetric about "p".
Since the symmetry must be about "p", and we don't even know where "p" is, one often finds two points on "m" that are equidistant from "Q".
This can be accomplished by adjusting a compass to a fixed radius (larger than the distance from "Q" to "m"), and making an arc that intersects "m" in two places. Those two places will be equidistant from "Q", and are simultaneously on line "m". Thus, these two points, "A" & "B" are symmetric about "p".
Since "A" & "B" are symmetric about "p", they are equidistant from "p", and are on "m". One could try to find the point of intersection between "p" and "m" through construction, but this is unnecessary. We need only find a second point (besides "Q") that is equidistant from "A" & "B", which will necessarily be a point on "p", to form the line perpendicular to "m".
To do this, fix the compass with any radius, and from "A" make a large arc generally in the direction of "B", and make the same radius arc from "B" in the direction of "A" such that the two arcs intersect at some point that isn't "Q". This point of intersection we can call point "T", and the line QT is line "p", the line perpendicular to the original line, necessarily containing "Q".
square root of 12-square root of 8
Answer:
please tell me if im wrong!
Step-by-step explanation:
answer: 16 √ 3
Answer:
24√2
Step-by-step explanation:
if I'm correct the equation is
(√12)^2(√8)
we expand the surds
(√4x3)^2 (√4x2)
(2√3)^2 (2√2)
(4x3) (2√2)
12x2√2 =
24√2
algebra 2 help needed urgent !!!
Answer:
11, 7, 3, -1, -5
Step-by-step explanation:
The dependent variable y is often used interchangeably with the function value f(x). That is, we can usually presume that ...
y = f(x)
__
evaluate the functionTo find f(x), put the value of x everywhere x appears in the function definition, and do the arithmetic. A calculator or spreadsheet can relieve some of the boredom of repetition. Here are a couple of examples.
f(-2) = -4(-2) +3 = 8 +3 = 11
f(-1) = -4(-1) +3 = 4 +3 = 7
time saverYou may notice that each increase of 1 in the value of x causes a decrease of 4 in the value of y. That means we can simply subtract 4 from the previous value of y to find the next one:
[tex]\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}-2&11\\\cline{1-2}-1&7\\\cline{1-2}0&3\\\cline{1-2}1&-1\\\cline{1-2}2&-5\\\cline{1-2}\end{array}[/tex]
__
Attached is an example of this table being filled by a calculator.
X-y=5 and x^2y=5x+6
By applying algebraic handling on the two equations, we find the following three solution pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
How to solve a system of equations
In this question we have a system formed by a linear equation and a non-linear equation, both with no trascendent elements and whose solution can be found easily by algebraic handling:
x - y = 5 (1)
x² · y = 5 · x + 6 (2)
By (1):
y = x + 5
By substituting on (2):
x² · (x + 5) = 5 · x + 6
x³ + 5 · x² - 5 · x - 6 = 0
(x + 5.693) · (x - 1.430) · (x + 0.737) = 0
There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737
And the y-values are found by evaluating on (1):
y = x + 5
x₁ ≈ 5.693
y₁ ≈ 10.693
x₂ ≈ 1.430
y₂ ≈ 6.430
x₃ ≈ - 0.737
y₃ ≈ 4.263
By applying algebraic handling on the two equations, we find the following three solution pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
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17 = a + b
b is one more than a
work out the values of a and b
(simultaneous equation)
Answer:
Step-by-step explanation:
Solution
17 = a + b
b = a + 1 Substitute b into the top equation
17 = a + a+1 Combine
17 = 2a + 1 Subtract 1 from both sides
17-1 = 2a+1-1 Combine
16 = 2a Divide both sides by 2
16/2 = 2a/2
a = 8
b = 8 + 1 = 9
Answer
a = 8
b = 9
Consider the set S of bit strings defined recursively by:
The correct option regarding the recursively defined strings is given by:
c) Both i) and ii).
Which of the strings belong to alphabet S?First we start with string 101, we have that:
101 -> 1w -> 10w -> 101
Which belongs to alphabet S.
For string 001, we have that:
001 -> 0w -> 00w -> 001.
Which belongs to alphabet S.
Hence statement c is correct.
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pls help me solve for x in this equation
Answer:
x = 9/2
Step-by-step explanation:
√2x + √2x = 6
2√2x = 6
2√2x/2 = 6/2
√2x = 3
(√2x)² =( 3)²
2x = 9
x = 9/2
Answer:
x = 4.5
Explanation:
[tex]\rightarrow \sf \sqrt{2x} + \sqrt{2x} = 6[/tex]
add following
[tex]\rightarrow \sf 2\sqrt{2x} = 6[/tex]
divide both sides by 2
[tex]\rightarrow \sf \sqrt{2x} = 3[/tex]
square both sides
[tex]\rightarrow \sf 2x = 3^2[/tex]
simplify the following
[tex]\rightarrow \sf 2x = 9[/tex]
divide both sides by 2
[tex]\rightarrow \sf x = 4.5[/tex]
Determine a, given that A = 63°, C = 49°, and c = 3. Round answers to the nearest whole number. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect. a =
The value of a given that A = 63°, C = 49°, and c = 3 is 4 units
How to determine the value of a?The given parameters are:
A = 63°, C = 49°, and c = 3
Using the law of sines, we have:
a/sin(A) = c/sin(C)
So, we have:
a/sin(63) = 3/sin(49)
Multiply both sides by sin(63)
a = sin(63) * 3/sin(49)
Evaluate the product
a = 4
Hence, the value of a is 4 units
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find the first 4 terms and the 10th term from 3n+4
Answer:
16 and 34
Step-by-step explanation:
The general form = 3n+4
The 4th term = 3(4)+4 = 12+4 = 16
The 10th term = 3(10)+4= 30+4= 34
Need help ASAP, will mark brainliest if you can check my answer:
According to the compound interest model, we find the following results: I) x ≈ 11.5 yr, C' = $ 101317.36, II) r ≈ 7.4 %, x ≈ 9.8 yr, III) C = $ 7626.38, x ≈ 8.6 yr, IV) r ≈ 6.5 %, C = $ 12801.61
How to determined all the variables associated with compound interest
Compound interest describes the capital gain in term of deposited capital and the consideration that such capital is increased continuously in time. The compound interest model is shown below:
C' = C · (1 + r/100)ˣ (1)
Where:
C - Initial capitalC' - Current capital r - Interest rate, in percentage.t - Time, in yearsThe doubling time (x) is the period needed for a capital to be doubled. It is described by the following expression based on (1):
x = (㏒ 2)/[㏒ (1 + r/100)] (2)
Now we proceed to calculate each missing variable:
Case I - Doubling time
x = (㏒ 2)/[㏒ (1 + 6.2/100)]
x ≈ 11.5
Case I - Current capital
C' = 75000 · (1 + 6.2/100)⁵
C' = 101317.36
Case II - Interest rate
[tex]r = 100\cdot \left(\sqrt [5] {\frac{7130.90}{5000} }-1\right)[/tex]
r ≈ 7.4
Case II - Doubling time
x = (㏒ 2)/[㏒ (1 + 7.3/100)]
x ≈ 9.8
Case III - Initial capital
C = 11414.71/(1 + 8.4/100)⁵
C = 7626.38
Case III - Doubling time
x = (㏒ 2)/[㏒ (1 + 8.4/100)]
x ≈ 8.6
Case IV - Interest rate
[tex]r = 100\cdot \left(\sqrt [11] {2 }-1\right)[/tex]
r ≈ 6.5
Case IV - Initial capital
C = 17539.32/(1 + 6.5/100)⁵
C = 12801.61
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The high temperature on Friday was 8 degrees above zero. The low temperature was 3 degrees below zero. Which expression gives the average of the low and high temperatures?
Negative (3 + 8) divided by 2
(negative 3 + 8) divided by 2
(negative 3 + 8) divided by (negative 2)
Left-bracket negative 3 + (negative 8) right-bracket divided by (2) Right-bracket
Using the mean concept, the expression that gives the average of the low and high temperatures is:
(-3 + 8)/2.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, the two observations are -3 and 8, hence their average is given by:
(-3 + 8)/2.
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Parallel lines m and n are cut by a transversal t. Which pair of angles is a pair of alternate interior angles?
A. 2 and 5
B. 1 and 5
C. 4 and 6
D. 2 and 6
Step-by-step explanation:
2and5 is 7
1and 5 is 6
4and 6 is 10
2and 6is 8
Find the average rate of change of f ( x ) = 9 x 2 − 7 on the interval [ 2 , a ] . Your answer will be an expression involving a
Answer:
9a + 18
Step-by-step explanation:
so the first step is to evaluate the value of f(2).
[tex]f(2) = 9(2)^2-7\\f(2)=9(4)-7\\f(2)=36-7\\f(2)=29[/tex]
Now that we have this value we can use the slope formula (y2 - y1) / (x2 - x1) where y2 is f(a), y1 is 29, x2 is a, and x1 is 2
[tex]\frac{f(a)-29}{a-2}\\\\\frac{(9a^2-7)-29}{a-2}\\\frac{9a^2-36}{a-2}[/tex]
Now from here we can use long division to simplify it further
[tex]9a^2/a = 9a\\9a(a-2)=9a^2-18a\\(9a^2-36)-(9a^2-18a)\\18a-36\\\\18a/a=18\\18(a-2)=18a-36\\(18a-36)-(18a-36)\\0\\\\9a+18[/tex]
If the cost, C, for manufacturing x units of a certain product is given by C=x²-10x+65, find the number of units manufactured at a cost of $12,140.
There are_____manufactured at a cost of $12,140.
Answer:
115
Step-by-step explanation:
You solve this by factoring.
12140 = x^2-10x+65
0 = x^2-10x-12075
0=(x+105)(x-115)
The only positive solution is x=115
What are the coordinates of point P on the directed line
segment from A to B such that P is the length of the
line segment from A to B?
A. (-29/4 , -3/2)
B. (-13/4 , 1/2)
C. (-11/4 , -1/2)
D. (25/4 , -1/2)
The coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a line segment shown in the picture:
From the graph:
Point A( -5, -1) and B(4, 1)
The equation of the line passing through the points:
[tex]\rm (y -1 ) = \dfrac{1+1}{4+5}(x-4)[/tex]
9(y - 1) = 2(x - 4)
The above equation shows the straight-line passing through points A and B.
From the graph point (-11/4, -1/2) lies on the line the coordinate of the point P is (-29/4, -3/2)
Thus, the coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.
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