Answer:
x = - 1
Step-by-step explanation:
The points A, B and C are collinear meaning they all lie on a line.
Thus
AB + BC = AC , substitute values
x + 10 + x + 14 = 22, that is
2x + 24 = 22 ( subtract 24 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
an elevator moves at a rate of -5.8 feet per second from a height of
300 feet above the ground. the elevator takes 3 seconds to make its first stop.
how many feet above the ground is the elevator now?
Answer:
282.6 ft
Step-by-step explanation:
First you must figure out how far the elevator drops in three seconds.
To do so you multiply how far it falls per second (5.8 ft) by how long it falls for (3 seconds). 5.8 * 3 = 17.4
now you subtract 17.4 from 300 to get 282.6 ft
What is the volume of a rectangular prism with l = 412 cm, w = 312 cm, and h = 6 cm?
A. 9012 cubic centimeters
B. 9412 cubic centimeters
C. 95 cubic centimeters
D. 9512 cubic centimeters
The required volume of the rectangular prism is 765792 cubic centimeters. None of the options are correct.
To find the volume of a rectangular prism, you can use the formula:
Volume = length (l) * width (w) * height (h)
Given:
l = 412 cm
w = 312 cm
h = 6 cm
Volume = 412 cm * 312 cm * 6 cm
Volume = 128544 * 6 cubic centimeters
Volume = 771264 cubic centimeters
Thus, the volume of the given rectangular prism is 771264 cubic centimeters.
Learn more about volume here:
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Which is equivalent to v10 3/4?
Answer:
d) [tex](\sqrt[8]{(10} )^{3 x}[/tex]
Step-by-step explanation:
Step(i):-
Given [tex](\sqrt{10} )^{\frac{3 x}{4} }[/tex]
we will use formula
[tex](a)^{m n} = (a^{m} )^{n}[/tex]
[tex](\sqrt{10} )^{\frac{3 x}{4} } =( (10)^{\frac{1}{2} } )^{\frac{3 x}{4} }[/tex]
= [tex]( (10)^{\frac{1}{2} X\frac{3 x}{4} } )[/tex]
= [tex]( (10)^{\frac{3 x}{8} } )[/tex]
= [tex]((10)^{\frac{1}{8} } )^{3x}[/tex]
Step(ii):-
we will apply [tex](a)^{\frac{1}{n} } = \sqrt[n]{a}[/tex]
= [tex](\sqrt[8]{(10} )^{3 x}[/tex]
find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis
Answer: C
Step-by-step explanation:
Reflection across x = -1
The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)
J = (0, 0) is 1 unit to the right of x = -1
J' = (-2, 0) is 1 unit to the left of x = -1
K = (1, 4) is 2 units to the right of x = -1
K' = (-3, 4) is 2 units to the left of x = -1
L = (3, 3) is 4 units to the right of x = -1
L' = (-5, 3) is 4 units to the left of x = -1
Reflection across x-axis
Change the sign of the y-value: (x, y) → (x, -y)
J' = (-2, 0) J'' = (-2, 0)
K' = (-3, 4) K'' = (-3, -4)
L' = (-5, 3) L' = (-5, -3)
Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?
Answer:
Step-by-step explanation:
Total cake shared=1/2
Pete share=x
Bill= twice as much as Pete
=2x
Pete's share+ Bill's share=total share
x+2x=1/2
3x=1/2
x=1/2÷3
x=1/2×1/3
=1/6
Pete's share=x=1/6
Bill's share=2x
=2(1/6)
=2/6
=1/3
if(x+3) and 133 digree is a pair of vertically opposite angles then the measure of x is
Answer:
x=130
Step-by-step explanation:
as vertically opposite angles are equal therefore,
133=X+3
x=133-3= 130
I hope it helps
find the vertical asymptote. y = x - 1 / x + 4
Answer:
x = - 4
Step-by-step explanation:
Given
y = [tex]\frac{x-1}{x+4}[/tex]
The denominator of y cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 4 = 0 ⇒ x = - 4
Thus the vertical asymptote is x = - 4
A certain substance has a half life of 1 hour. If you start with 3000 grams of the substance, how much will you have in 1 hour?
Answer:
1500 grams
Step-by-step explanation:
A= P(0.5)^t
A=3000(0.5)^1
A=1500
i suck at geo please help
Answer:
It's B
Step-by-step explanation:
Because you see a reflection would show the traingle flipped translation would mean the traingle is in a totally different space and rotation would mean the shape is rotated and so B is left and so B is the correct answer.
What is the volume of the rectangular prism, in cubic cm?
9 cm
4 cm
12 cm
Answer:
V =432 cm^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 9*4*12
V =432 cm^3
State the solution
5x-y=14 and x+3y=-10
Answer:
x = 2, y = - 4
Step-by-step explanation
5x-y=14
x+3y= - 10
x = - 10 - 3y
5(- 10 - 3y) - y = 14
- 50 - 15y - y = 14
-16y = 64
y = - 4
x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2
x = 2
the line passing through point (2, 4), parallel to the line whose equation is y = x
Answer:
y = x + 2
Step-by-step explanation:
slope = 1
y = mx + b
4 = 1(2) + b
2 = b
y = x + 2
Share £45 in the ratio 4:5
Answer:
20 : 25
Step-by-step explanation:
A : B : total
4 : 5 : 4+5 = 9
We want to share 45
45/9 = 5
Multiply each share by 5
A : B : total
4*5 : 5*5 : 9*5
20 : 25 : 45
a cuboid has length 4.2 m breadth 1.4 m and height 1.2 m . find the number of cubes each of lengh 20cm ,which canbe cut from the cuboid.
l= 4.2 m = 4.2 * 100 = 420 cm
b = 1.4 m = 1.4*100 = 140 cm
h =1.2 m =1.2 *100 =120 cm
Volume of cuboid = l*b*h = 420 * 140 * 120 = 705600 cubic cm
Volume of cube = a*a*a = 20*20*20 = 8000 cubic cm
No.of cubes = Volume of cuboid / volume of cube
= 705600 / 8000 = 882 cubes
or 420*140*120 / 20*20*20 = 42*14*12/2*2*2 = 21*7*6 = 882 cubes
Sean began jogging to live a healthier lifestyle. In his first run he ran one half mile he increased his workouts by adding two miles a month to his run he wrote the equation f(x)=0.5+2x to model his progress the variable x represents the number of___?
Answer:
Step-by-step explanation:
The words "two iles a month" tells us that the expression represened by those words is the "2x" part of the equation. x represents the number of months. The .5 part tells us that he began this process with a half mile.
Please help! Correct answers only!
There is a raffle with 200 tickets. One ticket will win a $550 prize, one ticket will win a $510 prize, one ticket will win a $280 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " = $ 6.70
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Winning the 550 Dollar Prize - 1 / 200,\\Probability * Money Won = " Expected Payoff " For The 550 Dollar Prize,\\\\1 / 200 * 550,\\" Expected Payoff " - 2.75 Dollars,\\\\Probability of Winning the 510 Dollar Prize - 1 / 200,\\\\1 / 200 * 510,\\" Expected Payoff " - 2.55 Dollars,\\\\Probability of Winning the 280 Dollar Prize - 1 / 200,\\\\1 / 200 * 280,\\" Expected Payoff " - 1.4 Dollars,\\\\[/tex]
[tex]Conclusion ; Expected Payoff = 6.70 Dollars[/tex]
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
13. Which is not a pair of congruent sides in the diagram below?
A) KJ AND JH
B) EF AND JH
C) KJ AND FG
D) EK AND GH
Answer:
A) KJ AND JH
Step-by-step explanation:
EF = JH The three lines indicate they are equal
EK = GH The one line indicates they are equal
KJ = FG The two lines indicates they are equal
Answer:
A) KJ and JH
Step-by-step explanation:
KJ has 2 tally Mark's which differentiate from the number of 3 tally marks that JH hasKJ is congruent to EG JH is congruent to EF(If the number of tally's are different that means that they are not the same length = not congruent)B - EF and JH both have 3 tally marks therefore indicating it is correct and they are equalC - KJ and FG both have 2 tally marks therfore indicating it is correct and they are equalD - EK and GH both have 1 tally mark therefore indicating it is correct and they are both equalWhich quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) – 6 = 0? A. (u + 2)^2 + 5(u + 2) – 6 = 0 where u = (x – 2) B. u^2 + 4 + 5u – 6 = 0 where u = (x – 2) C. u^2 + 5u – 6 = 0 where u = (x + 2) D. u^2 + u – 6 = 0 where u = (x + 2) (This is a question from Edg by the way)
Answer:
C. u^2 + 5u – 6 = 0 where u = (x + 2)
Step-by-step explanation:
(x + 2)^2 + 5(x + 2) – 6 = 0
Let u = x+2
(u)^2 + 5(u) – 6 = 0
Answer:
C.u^2+5u-6=0
Step-by-step explanation:
By comparing (x+2)^2+5(x+2)-6=0 to answer C,that is u^2+5u-6=0,u=(x+2).
By sustituting (x+2)into answer C,we get;
(x+2)^2+5(x+2)-6=0 which is the same as the quadriatic equation given in the question.
25x⁴+4x⁴y²+4y⁴ answer this
Answer:
(5x²+2y² + 2xy)(5x²+2y²-2xy)
Step-by-step explanation:
25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)
Someone have the answer please ?!
True if the lines were not vertical this would be false.
Which of the equations below represents a line parallel to the y-axis? A. x = -y B. x = y C. x = 4y D. x = 4
Answer:
D
Step-by-step explanation:
A line parallel to the y- axis is a vertical line with equation
x = c
where c is the value of the x- coordinates the line passes through, thus
x = 4 is the equation of a line parallel to the y- axis → D
the coordinates of point G ar (4,-2) and the gradient of the straight line GH is -2.The coordinates of point H could be
A.(-1,6)
B.(-1,8)
C.(-1,10)
D.(-1,12)
Step-by-step explanation:
Given that the formula of gradient is :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
So you have to try for every coordinates :
Option A,
[tex] \frac{6-(-2)}{-1-4} = - \frac{8}{5} (incorrect) [/tex]
Option B,
[tex] \frac{8-(-2)}{-1-4} = -2 (correct) [/tex]
Option C,
[tex] \frac{10-(-2)}{-1-4} = - \frac{12}{5} (incorrect) [/tex]
Option D,
[tex] \frac{12-(-2)}{-1-4} = - \frac{14}{5} (incorrect) [/tex]
A worker pushes a wheelbarrow with a force of 20N downward and to the left, as shown in the figure below. The angle the handle makes with the horizontal is 34°. Note that the figure is not drawn to scale. Write the force vector F in the form =F+aibj. Do not round any intermediate computations, and round the values in your answer to the nearest hundredth. f=
Answer:
The values of F will be "16.58 i + 11.18 j".
Step-by-step explanation:
The given values are:
Force, F = 20 N
Angle, Ф = 33°
The formula use in the given scenario will be:
⇒ [tex]x=a \ Cos\theta[/tex]
⇒ [tex]y=a \ Sin\theta[/tex]
Now,
For Force, [tex]F=ai+bj[/tex]
⇒ [tex]a=F \ Cos\theta[/tex]
⇒ [tex]=20 \ Cos(34^{\circ})[/tex]
⇒ [tex]=20\times .829[/tex]
⇒ [tex]=16.58[/tex]
and,
⇒ [tex]b=F \ Sin\theta[/tex]
⇒ [tex]=20 \ Sin(34^{\circ})[/tex]
⇒ [tex]=20\times .55[/tex]
⇒ [tex]=11.18[/tex]
So that,
⇒ [tex]F=16.58 \ i+11.18 \ j[/tex]
solve using eliminates method 3x-4y=15 2x-2y=8
Answer:
Step-by-step explanation:
What is the slope of a line that passes through (-14,-13) and (7,0)?
A. 21/13
B. 13/21
C. -13/21
D. -21/13
Answer:
The answer is B.
Step-by-step explanation:
You have to apply gradient formula by using coordinates :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Let (x1,y1) be (-14,-13),
L3t (x2,y2) be (7,0),
[tex]m = \frac{0 - ( - 13)}{7 - ( - 14)} [/tex]
[tex]m = \frac{13}{21} [/tex]
Write an equation to represent the following statement. 33 is 15 less than k. Solve for k. k= ___
Answer:
k = 48
Step-by-step explanation:
k - 15 = 33
Add 15 to both sides
k - 15 +15 = 33 +15
k = 48
A livestock vaccine is to be given at the rate of 2 milliliters for each 15 pounds of body weight. How much should be given to a 60-pound goat?
Answer:
8
Step-by-step explanation:
There are 4 times 2 milliliters in each 15 pounds of a 60-pound goat
Answer:80milliliters/pound
Step-by-step explanation:
Rate per a pound = 20/15=4/3
For 60pounds =4*60/3
=80milliliter/pound
What is the area of the figure? A. 360 km² B. 432 km² C. 720 km²
D. 864 km²
The answer is 360km^2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
What would this be and how do i find the answer?
Answer:
d
Step-by-step explanation:
this says x is greater than -4 meaning the integers cannot include -4
it also says x is less than or equal to one meaning that it can include 1 but not more than 1
d satisfies this inequality.
A sector with a central angle measure of 4pi/5
(in radians) has a radius of 5 cm.
What is the area of the sector?
Answer:
10 pi
Step-by-step explanation:
25 pi
20 pi
10 pi
5 pi
C is the answer
The area of the shaded sector of the circle will be 10π units².
What is the Area of a Sector?Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.
As per the question, QR = 5 and m∠RQS = 4π/5 = 144°.
As per the given question given data:
θ = 4π/5
r = QR = 5
Substitute the values in the formula to get:
Area of sector of a circle = 144/360 × π(5)²
Area of sector of a circle = 1/4 × π(25)
Apply the multiplication operation, and we get
Area of a sector of a circle = 10π units²
Thus, the area of the shaded sector of the circle is 10π units².
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The question seems to be incomplete the correct question would be:
In circle Q, QR = 5 and m∠RQS = 4π/5. Find the area of the shaded sector.
Express your answer as a fraction times pi.