Answer:
8 in
Step-by-step explanation:
Volume of Cube = 512 in³
Formula : -
Volume of cube = side x side x side = side³
512 = 8 x 8 x 8 = 8³
So,
The length of one side of the jewelry box is 8 in.
If f(x)=2x² +5√(x-2), complete the following statement:
The domain for f(x) is all real numbers ____ than or equal to 2.
Free Response:
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
How to determine the domain of a function with radical components
Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all real numbers, whereas the domain of radical functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the radical component and defined by x ≥ 2.
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
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The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years. Which of the following is an appropriate line of best fit?
The equation of the appropriate line of best fit is y = 1.25x + 2
How to determine the line of best fit?Start by drawing a line through the points (see attachment)
From the attached graph, we have:
(x, y) = (0,2) and (4,6.5)
Calculate the slope (m) using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (6.5 - 4)/(2 - 0)
Evaluate
m = 1.25
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1.25(x - 0) + 2
Expand
y = 1.25x + 2
Hence, the equation of the appropriate line of best fit is y = 1.25x + 2
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Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament. Please step by step
Answer:
20 Players
Step-by-step explanation:
Total Amount of Money: $2412.50
First the team rented us a bus for $1072.50
Subtract the bus from the total
$2412.50 - $1072.50 = $1340
Total Amount of Money after bus: $1340
From there we need to find the max number of players that can go.
The budget cost for each player is $67.
So we divide the remaining money by $67 to find the number of players that can go.
$1340/$67 = 20 Players.
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Which of the following expressions are equivalent to - -13/12
A. -13/-12
B. 13/-12
C. None of the above
If is -(-13/12) then A. -13/-12
If is -13/12 then B. 13/-12
[tex]-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}[/tex]
Hey y’all I need this answer quickly!!!
3/4 - 1/5
Answer:
[tex]\sf \dfrac{11}{20} \quad or \quad 0.55[/tex]
Explanation:
[tex]\rightarrow \sf \dfrac{3}{4} - \dfrac{1}{5}[/tex]
make the denominators same by lcm
[tex]\rightarrow \sf \dfrac{5(3)}{20} - \dfrac{4(1)}{20}[/tex]
expand the following
[tex]\rightarrow \sf \dfrac{15}{20} - \dfrac{4}{20}[/tex]
Join the fractions together
[tex]\rightarrow \sf \dfrac{15-4}{20}[/tex]
Subtract the integers
[tex]\rightarrow \sf \dfrac{11}{20} \quad or \quad 0.55[/tex]
Answer:
11/20 or 0 whole 11/20 or 0.55
Step-by-step explanation:
[tex]3/4 - 1/5[/tex]Find the least common multiple (LCM) of 4 and 5 at first:
We can't do the LCM of 5 and 4,so just multiply them, 5*4 = 20
Now,
For 3/4 : divide 20 by 4,then multiply the result by 3.For 1/5 : divide 20 by 4, then multiply the result by 1. Simple!
[tex] \cfrac{15 - 4}{20} [/tex]Subtracting the numerators,
[tex] \boxed{\cfrac{11}{20} }[/tex]As a whole number:
[tex]\boxed{0 \cfrac{11}{20} }[/tex]As a decimal:
[tex]\boxed{0.55 }[/tex]A restaurant offers a $12 dinner special that has choices for an appetizer, choices for an entrée, and choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?.
Answer:
4 is my answer:))))) maybe this will help
Answer:
1
Step-by-step explanation:
it depends on how many choices there are
If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert
(1 * 1 * 1 = 1)
then there is 1 meal choice
If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.
(7 * 12 * 6 = 504)
then there are 504 different options
If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert
(5 * 12 * 3 = 180)
then there are 180 options
12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert
(12 * 10 * 6 = 3240)
then there are 3240 meal options
you have to multiply the number of entrées (e), meals (m), and desserts (d)
e * m * d = x
you are solving for x, which is the different meals available aka your answer.
so plug in the numbers and that should give you the answer!
hope this helps:)
Which inequality describes the acceptable weights for the suitcase?
x≤ 32.5 or x ≤ 47.5
32.52x2 47.5
x≤ 32.5 or x ≥ 47.5
32.5 ≤ x ≤ 47.5
Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.
What is the acceptable weight for the suitcase?You didn't include the full question but this question can be answered based on the given options.
When inequalities are written, there is no inclusion of "or" which eliminates options A and C.
It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.
This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.
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Answer:
32.5 ≤ x ≤ 47.5
Step-by-step explanation:
You have 200$ allocated for your gym membership. what is the maximum number of visits you can make with each membership??
The maximum number of visits you can make with each membership is 104.
What is gym membership?Gym membership refers to the cost to register, attend, and use a gym as a member for an agreed period.
Some gym memberships require one-time payments made monthly or annually.
Question Completion:Assume that the annual gym fee is $200 for Saturdays and Sundays only.
Thus, in this scenario, the maximum number of visits you can make with each membership is 104.
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Could these triangles be congruent? yes, if ab ≅ de yes, if bc = 7 yes, if ab ≅ ef no, because the hypotenuses must have different lengths
Yes, the triangles are congruent if AB ≅ DE.
Criteria for the Congruency of two Triangles
If two triangles share the same sides and angles, they are said to be congruent triangles.
Triangles are tested for congruence using the following 4 criteria:
1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.
2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.
3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.
4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.
Checking for Congruency in the Given Triangles
ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides, DF = AC.
Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE
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Answer:
(D) no, because the hypotenuses must have different lengths
Step-by-step explanation:
Dr. Smith and Dr. Jones want to study the effects on a patient's arthritis that curl in the patient believes that he was she use a new ointment the control group consists of the patient who chooses to visit Dr. Smith about arthritis and they receiving an appointment with no medical value the experimental group consists of the patients who chooses to visit Dr. Jones about the right s and they receive the new ointments is this study experimental or observational
Answer:I think observational
Step-by-step explanation:They want to study it so they trying it on people who are willing so they are looking closely to what happens.
If [tex] \rm log_{3}( |5 - 2x| ) > 4[/tex] then x lies in interval of :
i)
[tex] ( - 43 \: , \: 38)[/tex]
ii)
[tex]( - \infty \: , \: 38 ) \cup(43 \: , \: \infty )[/tex]
iii)
[tex]( - 38 \: , \: 43)[/tex]
iv)
[tex]( - \infty \: , \: - 43) \cup(38 \: , \: \infty )[/tex]
[tex]\log_3|5-2x| > 4\\\log_3|5-2x| > \log_33^4\\|5-2x| > 3^4\\|5-2x| > 81\\5-2x > 81 \vee 5-2x < -81\\2x < -76 \vee 2x > 86\\x < -38 \vee x > 43\\x\in(-\infty,-38)\cup(43,\infty)[/tex]
10. A In the adjoining Figure, ab is perpendicular to bc and ed is to cd while bc=cd . prove i) triangle abc is corresponding to triangle edc
ii)ab = cd
Part (i)
1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)
2) Angles ABC and CDE are right angles (perpendicular lines form right angles)
3) Angles ABC and CDE are equal (all right angles are equal)
4) Angles ACB and DCE are equal (vertical angles are equal)
5) Triangles ABC and EDC are congruent (ASA)
Part (ii)
6) AB = DE (corresponding parts of congruent triangles are equal)
you are in charge of buying the soda and paper plates for a party. The soda costs $3 per case and the paper plates cost $4 per stack. you have no more than $25 to spend.
The inequalities that define the given conditions are,[tex]4x+3y \leq25[/tex].Option A is correct.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
Given data;
Soda costs = $3 per case
Paper plates = $4 per stac
The maximum amount of money you can spend is $25
x = the number of cases of soda
y = the number of stacks of paper plates.
The inequalities that define the given conditions are;
[tex]4x+3y \leq25[/tex]
Hence, option A is correct.
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Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).
Use the polygon tool to graph the dilated figure.
(See attached image for details.)
The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
How to graph the dilated image?The given parameters are:
Center, (a, b) = (-3, 0)
Scale factor, k = 1/2
The vertices of the figure are
(5,4), (-5, 4) and (3,8)
The rule of dilation is represented as:
(x, y) ⇒ (k(x -a), k(y -b))
So, we have:
Point (5,4)
(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))
(x, y) ⇒ (4, 2)
Point (-5,4)
(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))
(x, y) ⇒ (-1, 2)
Point (3,8)
(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))
(x, y) ⇒ (3, 4)
So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
See attachment for the image
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Compare the quantity in Column A with the quantity in Column B.
Column A Column B
slope of y = 3 slope of x = 3
The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined on the basis of the information supplied.
Keep in mind that one is talking about the slope of y and one is about the slope of x. One has no slope and one has an undefined slope. So is it D? Does anyone know the answer to this question?
Compare the quantity in Column A with the quantity in Column B.
Column A Column B, The two quantities are equal.
What is the slope?Generally, the surface that has one end or side that is higher than the other (or vice versa); is a surface that slopes up or down.
In conclusion, Compare the number in Column A with the number in Column B.
The two amounts are identical in Columns A and B.
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The diameter of a circle is 62cm
by first calculating the radius work out the area of the circle
give your answer in cm² to 1.d.p
Hii! I need some help, would anyone mind helping me?
Find the center of this hyperbola.
[tex]\boldsymbol{x^2-25y^2-14x+100y-76=0}[/tex]
[tex]\stackrel\bigstar{\boldsymbol{\underbrace{Thankyou!!}}}[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 14x - 25 {y}^{2} + 100y = 76[/tex]
Factor by grouping,
[tex]( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76[/tex]
Complete the square, with the x variables,
[tex]( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125[/tex]
Factor out 25 for the y variables
[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125[/tex]
Complete the square
[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25[/tex]
Simplify the perfect square trinomial
[tex](x - 7) {}^{2} - 25(y - 2) {}^{2} = 25[/tex]
Make the right side be 1 so divide everything by 25.
[tex] \frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1[/tex]
Here our center is (7,2).
which inequality is equivalent to the given equality of -4(x+7)<3(x-2)
Answer:
x > 22/7
_________________________________________
Notice*
Because there are no options, we must find it algebraically.
_____________________________________________
Let's solve your inequality step-by-step.
−4(x+7)<3(x−2)
Step 1: Simplify both sides of the inequality.
−4x−28<3x−6
Step 2: Subtract 3x from both sides.
−4x−28−3x<3x−6−3x
−7x−28<−6
Step 3: Add 28 to both sides.
−7x−28+28<−6+28
−7x<22
Step 4: Divide both sides by -7.
-7x/-7 = 22/-7
x > -22/7
Answer:
x > −22/7
how many triangles are in a 18 sided polygon
Answer:
18Step-by-step explanation:
how many triangles are in a 18 sided polygon
An 18 sided polygon, sometimes also called an octakaidecagon, it has 18 sides and therefore is made up of 18 triangles and has 18 vertices.
(look at the picture)
Lyanna opens a bank account with a deposit of $200. She earns 3%
interest per year. How much money will Lyanna have in her account after
the first year?
Answer:
$206
Step-by-step explanation:
Lyanna will earn 3% on her capital within 1 year.
In total, she will have 103%.
$200 x 103% = $206
lateral surface for a triangular prism l=8 w=4 h=6
Answer:
? i need help
Step-by-step explanation:
a sign at the summit of a mountain pass says that the grade for the next 5 miles of straight driving is 4.2 degrees. Determine the change of elevation in feet for a car at the end of the 5 mile drive
Using the slope concept, it is found that the change of elevation for a car at the end of the 5 mile drive is of 0.3672 miles.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The vertical change is the change of elevation.The horizontal change is of 5 miles.The angle is of 4.2º.Hence:
tan(4.2º) = h/5
h = 5 x tan(4.2º)
h = 0.3672.
The change of elevation for a car at the end of the 5 mile drive is of 0.3672 miles.
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4. Fill in the blanks for the following proof:
Answer:
Step-by-step explanation:
HELP FACTORISE ITS DUE IN TODAY PPLEASE
Answer:
ab(7a+b-2)
Step-by-step explanation:
see the common and take out the common parr
Answer:
its all about the formula =
(a+b)2 =a2 +2ab=b2
Step-by-step explanation:
Find the nth term of
this quadratic sequence
4, 7, 12, 19, 28, … what is the nth term
Answer:
[tex]n {}^{2} + 3[/tex]
Quadrilateral VWXY is a parallelogram. Find the measure of V
A package of 12 hex bolts and 10 anchor bolts weighs 7 pounds. A second package of 5
hex bolts and 15 anchor bolts weighs 4 pounds. A single hex bolt weighs ___________
pounds, rounded to one decimal place
Answer:
0.5
Step-by-step explanation:
Let h = weight of 1 hex bolt Let a = weight of an one anchor bolt1) (12h + 10a = 7) × 3 ⇒ (1) 36h + 30a = 21
2) (5h + 15 = 4) × -2 ⇒ + (2) - 10h - 30a = 8
----------------------
26h = 13
----- -----
26 26
h = 13 ÷ 13
---
26 ÷ 13
h = 1
---- = 0.5
2
Answer:
1 hex bolt weight 0.5 lbs.
If 24 marbles have a mass of 60g, what would the mass of 60 marbles be?
If 24 marbles have a mass of 60 g, then each marble has a mass of [tex]60/24=2.5 \text{ g}[/tex].
So, 60 marbles have a mass of 60(2.5)=150 g
Answer:
150 g
Step-by-step explanation:
24 marbles = 60 g
1 marble = 60÷24 = 2.5 g
60 marbles = 2.5 × 60 = 150 g
Hope this helped and have a good day
Find the common multiple of 5 and 6 between 100 mathfind the common multiple of 5 and 6 between hundred
Answer
100 multiples of 5 greater than 100 are:
Step-by-step explanation:
105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580,
solve 3(10)^x = 30,000
Step-by-step explanation:
We will need to use logs here...
First divide each side by 3
[tex]3(10)^x=30000[/tex]
[tex]10^x=10000[/tex]
Then take the log of each side
Keep in mind that [tex]log_{10} (10)[/tex] gets canceled out to leave x
[tex]log_{10} (10^x)=log(10000)[/tex]
Finally, log(10000) = 4 because [tex]10^4=10000[/tex]
[tex]x = 4[/tex]
