Answer:
-2x < 23-7
-2x < 16
-2x÷-2 < 16 ÷ -2
x > -8
Please help me thanks!!!!!!!
Answer:
See below ~
Step-by-step explanation:
Subpart (a) :
⇒ Surface area = 2(3 × 4 + 4 × 5 + 3 × 5)
⇒ Surface area = 2(12 + 20 + 15)
⇒ Surface area = 2(47)
⇒ Surface area = 94 in²
===============================================================
Subpart (b) :
⇒ Volume = 3 × 4 × 5
⇒ Volume = 12 × 5
⇒ Volume = 60 in³
=============================================================
Subpart (c) :
⇒ New surface area = 2 x 94
⇒ New surface area = 188 in²
=============================================================
Subpart (d) :
⇒ New : Original
⇒ 188 : 94
⇒ 2 : 1
The volume of a water walking ball is $\frac{4}{3}\pi$
cubic meters. Find the diameter of
the water walking ball.
A photo shows a small boy inside a water walking ball in a pool.
The diameter is
meters.
If the radius of the ball is 1 meter. Then the diameter of the ball will be 2 meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of a water walking ball (in cubic meters) is given below.
[tex]\rightarrow\dfrac{4}{3}\pi[/tex]
Then the diameter of the sphere will be
We know the volume of the sphere is given as
[tex]V = \dfrac{4}{3}\pi r^3[/tex]
where r is the radius of the ball.
Then the radius of the ball will be
[tex]\rm \dfrac{4}{3}\pi = \dfrac{4}{3}\pi r^3\\\\r^3 \ = 1\\\\r \ \ = 1\ m[/tex]
Then the diameter of the ball will be
d = 2r
d = 2 × 1
d = 2 m
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In triangle abc, points d and e are the midpoints of and respectively. what are the slope and length of , if the slope and length of are 0.5 and 3.2 units, respectively? a. slope = -2, length = 3.2 units b. slope = 0.25, length = 3.2 units c. slope = 0.5, length = 1.6 units d. slope = -2, length = 1.6 units e. slope = 0.25, length = 1.6 units
The slope and length of segment DE in the given triangle are: 0.5, and 1.6 units respectively.
What is the Slope of Parallel Lines?The slope of lines that are parallel to each other are always the same.
Segment DE is parallel to segment BC in triangle ABC.
Since slope of BC is 0.5, slope of DE would also be: 0.5.
Since E and D are the the midpoints of AC and AB respectively, it means that:
Length of DE = 1/2(length of BC)
Length of DE = 1/2(3.2)
Length of DE = 1.6 units
Therefore, slope of DE is: 0.5
Length of DE is: 1.5 units.
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Answer:
C. Slope = 0.5, length = 1.6 units.
Hope this helps!
Step-by-step explanation:
A frog wants to cross a stream. The stream is two metres wide. On every jump, Frog covers one-third metre distance. In how many jumps will Frog reach from rock A to rock B?
1/3 of 2 meters = 66.668 x 3 = 200.004
Select the graph that matches the equation y = 2
4
7
x − 3.
Answer:
B
Step-by-step explanation:
Since the y-intercept is -3 look for the graph that has the point (0,-3)
simultaneous equations please someone help me
2x +5y = -10 2x -y =8
Answer:
there is the answer to your question
Find the measure of the missing angles.
Answer:
y= 129
x= 39
Step-by-step explanation:
Question 7 of 10
Find any domain restrictions on the given rational equation:
X-4+50
4x-12x²+x-12 2
Select all that apply.
A. x = 0
B. x = 3
C. x = 4
D. x = -4
The domain restrictions on the rational function [tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex] are (b) x = 3 or and (d) x = -4
How to determine the domain restrictions?The function as expressed in the correct format is:
[tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex]
Factorize the denominators of the fractions
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x^2 + 4x- 3x - 12} = \frac{x}{2}[/tex]
Factor out x and -3
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x(x + 4)- 3(x + 4)} = \frac{x}{2}[/tex]
Factor out x + 4
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{(x- 3)(x + 4)} = \frac{x}{2}[/tex]
Set the denominators to 0
4(x - 3) = 0
(x - 3)(x + 4) = 0
Solve for x:
4(x - 3) = 0 ⇒ x = 3
(x - 3)(x + 4) = 0 ⇒ x = 3 or x = -4
This means that the domain restrictions on the rational function are (b) x = 3 or and (d) x = -4
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** PLS HELP **
BRAINLIEST!
Answer:
a and d
or
c and b
Step-by-step explanation:
supplementary angles are angles that add up to 180 degrees
when looking at the rectangle you see two possible answers
For how many values of x does f(x) = g(x), on the graph shown
below?
a. 0
b. 2
c. 3
d. 6
Answer:
the answer is C
Step-by-step explanation:
as you can see f(x) cut g(x) 3 time ( sorry for my bad English )
A linear regression is done on data the line of best fit is y= 1.25x-6.25. What is the residual for the point (1,1)?
Answer:
6
Step-by-step explanation:
Find the predicted y value when x=1:
[tex]\hat{y}=1.25x-6.25\\\hat{y}=1.25(1)-6.25\\\hat{y}=1.25-6.25\\\hat{y}=-5[/tex]
Find the residual:
[tex]\text{Residual}=\text{Actual Value}-\text{Predicted Value}\\\text{Residual}=y-\hat{y}\\\text{Residual}=1-(-5)\\\text{Residual}=1+5\\\text{Residual}=6[/tex]
Because our residual is positive, this is an indicator that our predicted y value is too low.
find (a) the arc length and (b) the area of a sector.
Answer:
a) 23.56 ft (2 dp)
b) 58.90 ft² (2 dp)
Step-by-step explanation:
Formula
[tex]\textsf{Arc length}=r \theta[/tex]
[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]
Calculation
Given:
[tex]\theta=\dfrac{3 \pi}{2}[/tex] r = 5 ft[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}[/tex]
Which is an equation of a direct proportion?
y= 1/2x – 2
y=3/x
y = -3x +4
y = -3x
Answer:
y = - 3x
Step-by-step explanation:
an equation involving direct proportion has the form
y = kx ← k is the constant of proportion
the only equation in this form is
y = - 3x ( with k = - 3 )
6 Mateo and Katia each walked into a
video arcade with $9.50 in quarters. After
they played video games for an hour, Katia
had $1.75 more than Mateo. Which could
be the amounts of money they had then?
Questions 1-4 of 4 | Page 1 of 1
Question 1 (1 point)
Of 100 boys, 34 are on the Honor Roll, 29 play sports, and 27 are on the Honor Roll and play sports.
What is the probability that a randomly selected student plays sports or is on the Honor Roll? Pick
the most simplified answer.
a
36/100
9/25
Oc 18/50
Od 3/5
Answer:
A 36/100
Step-by-step explanation:
the probability is going to be this because the rates in honor roll and sports are higher than the other 27 that do both.
Multiply, add and subtract to find the total. *
calvin paints ad posters. he charges $50 for a large poster and
$30 for a small poster. last week, he sold 3 large posters and 6
small posters. he also had to spend $40 to buy more paint.
how much money does calvin have left?
your answer
Answer:
$290
Step-by-step explanation:
3x50=$150
6x30=$180
180+150=$330
330-40=$290
help please
Based on a your normal distribution curve, 68% of a sample pack of M&M's would have
at LEAST how many orange M&M's out of a pack of 56 total M&M's
Based on your normal distribution curve, 68% of the sample pack of M&M's will have 38 orange M&M's
Data obtained from the questionTotal pack = 56Percentage = 68%Amount of M&M's =?How to determine the amount of M&M'sThe amount of M&M's that will be obtained from the pack of 56 can be obtained as follow:
Amount = percentage × total
Amount of M&M's = 68% × 56
Amount of M&M's = 0.68 × 56
Amount of M&M's = 38
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36) A new car dealership celebrated its grand opening by awarding prizes to 10 buyers. Five of
the buyers received a cash prize of $500, and 3 buyers received a cash prize of $1000. Two
buyers received $2500. If one of the buyers receiving a prize is selected at random, what is the
probability that the buyer received $2500?
Answer:
.20
Step-by-step explanation:
Question 7(Multiple Choice Worth 1 points)
(07.05 MC)
graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
The function best represents the given graph will be f(x) = (x + 3)(x − 3)(x - 1)
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given that:-
A graph of a cubic polynomial that falls to the left and rises to the right with x-intercepts negative 3, negative 1, and 3.The polynomial for the given points will be written as:-
f(x) = (x + 3)(x − 3)(x - 1)
The coordinate is -3 so it will be written as (x+3) similarly 1, and 3 will be written as (x-3) and (x-1) .
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Which sets of ordered pairs represent a function? Select all that apply.
A. (1,1), (1,2), (1,3), (1.4)
B. (1,1), (2,2), (3,3), (4,4)
C. (1,1), (2,1), (3,1), (4,1)
D. (1,4), (2,4), (1,3), (2,3)
E. (1,4), (2,2), (3,1), (4,3)
Answer:
B, C, and E
Step-by-step explanation:
In order for a function to be a function, an ordered pair cannot be on the same x coordinate
Which angle in this quadrilateral is a right angle? Angle A Angle B Angle C Angle D
Answer:
A rectangle is one. If that is one of the options, this would be the correct answer.
Step-by-step explanation:
A quadrilateral can be proved to be a rectangle in several ways. Here are three simple methods: 1) Demonstrate that all angles are 90°; 2) Demonstrate that one set of sides is parallel and that two opposite angles are 90°; and 3) Demonstrate that the diagonals are bisected and equal in length.
Answer:
A rectangle is one. If that is one of the options, this would be the correct answer.
Step-by-step explanation:
A quadrilateral can be proved to be a rectangle in several ways. Here are three simple methods: 1) Demonstrate that all angles are 90°; 2) Demonstrate that one set of sides is parallel and that two opposite angles are 90°; and 3) Demonstrate that the diagonals are bisected and equal in length.
Simplify the expression. Write your answer as a power.
The simplified expression is
Answer:
(-4)^5
Step-by-step explanation:
(-4)^(8 + 3)/(-4)^(4 + 2) = (-4)^11/(-4)^(6) = (-4)^(11-6) = (-4)^5
Leave answer in the simplest radical form.
[tex]\frac{7x^-^3^/^2y^5^/^2z^-^2^/^3}{56x^-^1^/^2y^1^/^4}[/tex]
[tex]\cfrac{7x^{-\frac{3}{2}} ~~ y^{\frac{5}{2}} ~~ z^{-\frac{2}{3}}}{56 x^{-\frac{1}{2}} ~~ y^{\frac{1}{4}}}\implies \cfrac{7}{56}\cdot \cfrac{y^{\frac{5}{2}} ~~ y^{-\frac{1}{4}}}{x^{-\frac{1}{2}} ~~ x^{\frac{3}{2}} ~~ z^{\frac{2}{3}}}\implies \cfrac{1}{8}\cfrac{y^{\frac{5}{2}-\frac{1}{4}}}{x^{-\frac{1}{2}+\frac{3}{2}}~~ z^{\frac{2}{3}}}[/tex]
[tex]\cfrac{y^{\frac{9}{4}}}{8x z^{\frac{2}{3}}}\implies \cfrac{\sqrt[4]{y^9}}{8x\sqrt[3]{z^2}}\implies \cfrac{\sqrt[4]{y (y^2)^4}}{8x\sqrt[3]{z^2}}\implies \cfrac{y^2 \sqrt[4]{y}}{8x\sqrt[3]{z^2}}[/tex]
Brendan's original plan was to visit stuttgart, dresden, weisbaden, and berlin. however, he would like to keep his costs under €860. which change to brendan’s travel plans would result in his staying under, but closest, to his original budget? a. replace dresden with potsdam. b. replace stuttgart with kiel. c. replace berlin with munich. d. replace weisbaden with hanover.
Brendan's trip plans could be changed to keep him under, but near to, his original budget if he replaces Stuttgart with Kiel. Therefore, it is B.
What exactly is a budget?A budget is basically a financial forecast of revenue and spending for a given period.
The substitution of Kiel for Stuttgart in Brendan's trip plans would result in him keeping under, but near to, his original budget. This will help save money.
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Find all solutions of the system of equations algebraically. Write your solutions as coordinate points.
Answer:
Coordinate form:
(9,-1) (-4,12)
Step-by-step explanation:
y=3x^2-16x-100
Sub in y for the second equation
x+3x^2-16x-100=8
Continue solving
End result should look like that:
The width of a rectangle is 2x + 2. The length of a rectangle is 3x + 3. What is
the area of the rectangle?
Please help! lol and thanks to whoever helps
[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ h=1.8\\ L=4.2\\ V=26.46 \end{cases}\implies \begin{array}{llll} 26.46=(4.2)w(1.8)\implies 26.46=7.56w \\\\\\ \cfrac{26.46}{7.56}=w\implies 3.5=w \end{array}[/tex]
At the beginning of the year, Cassandra talks to her cousin about a $1000 loan which she will repay after she graduates from college. On December 31st, her cousin will add 12% interest to the balance of the loan outstanding. If Cassandra makes no payments on the loan until she graduates, which equation shows the loan balance b after n years?
Using an exponential function, it is found that the loan balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that:
She took a $1,000 loan, hence A(0) = 1000.The interest rate is of r = 0.12.Hence the balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
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please help i font understand
Answer:
3/5
Step-by-step explanation:
Concepts + Application + Solution
We can write the probability of this event happening like this:
(number of prime numbers)/(total number of sections)For recap, a prime number is a number that's greater than 1 whose only factors are 1 and itself. Take the number 7 for example; its factors are only 7 and 1.
Given this information above, let's find the prime numbers in the spinner.
1: not prime (not greater than 1)2: prime3: prime4: not prime (divisible by 2)5: primeAs you can see, we have 3/5 numbers that are prime, making the probability of landing on a prime number 3/5.
Please help, thanks
Let ABCD be a square and let ABEFG be a regular pentagon. Find angle BCE.
Answer:
No figure?
We need a figure to solve for this, please post the figure and I am ready to help!
