Answer: x^2+4x
Step-by-step explanation:
I think
Solve for x in the following equation
2^(8x-8)=4^7x
Answer:
-4/3
Step-by-step explanation:
2^(8x-8)=4^7x
2^8x-8=4^7x
2^8x-8=4^2×7x
8x-8=2×7x
8x-8=14x
-8=14x-8x
-8=6x
-8/6=x
-4/3=x
x=-4/3
Hector is finding the volume of a cone and the volume of a cylinder. Both the cone and the cylinder have a radius of 3 inches and a height of 5 inches. What is the volume, in cubic inches, of the cone?
Answer:
the volume of the cone is
15in^3
Step-by-step explanation:
Step one:
parameters of the cone
radius r = 3 in
height h= 5 in
Step two:
the expression for the volume of the cone is
V= 1/3πr^2h
substitute
[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]
The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main entrance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.
Answer:
0.6 feet
Step-by-step explanation:
We solve this question using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent.
Where:
Opposite = Height /Length of the ramp = ?
Adjacent = Distance from the base of the ramp = 4 feet
θ = 8.1°
Therefore,
tan 8.1° = x/4
Cross Multiply
x = tan 8.1 × 4
x = 0.5692843028 feet
Approximately = 0.6 feet
Length of the ramp = 0.6 feet.
Three of the vertices of quadrilateral MARY are M (-3,1), A(3,3), and R(5,7). Find the
coordinates of Y, such that, quadrilateral MARY is a parallelogram.
Use coordinate geometry to prove that MARY is a parallelogram.
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Answer:
Y = (-1, 5)
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...
(M +R)/2 = (A +Y)/2
Y = M + R - A . . . . . . multiply by 2 and subtract A
Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates
Y = (-1, 5)
Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.
_____
Your teacher may expect the "proof" to be either or both of ...
showing opposite sides have the same slopeshowing opposite line segments have the same lengthGiven the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.
Slope and Length of MA
slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3
length = √(2²+6²) = √40
Slope and Length of AR
slope = (7 -3)/(5 -3) = 4/2 = 2
length = √(4² +2²) = √20
Slope and Length of RY
slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA
length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA
Slope and Length of YM
slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR
length = √((-4)² +(-2)²) = √20 . . . . . . same as opposite side AR
Opposite sides have the same slopes, so the figure is a parallelogram.
Opposite sides have the same lengths, so the figure is a parallelogram.
4 km
3 km
What is the length of the hypotenuse?
Answer:
5
Step-by-step explanation:
a^2 +b^2 = c^2
4^2 +3^2 =c^2
16 + 9 =c^2
25= c^2
5=c
It costs $60 to reserve a movie theater for a party. There is also a charge of $3 for each person. Which expression represents the total cost to reserve a movie theater for n persons?
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
SHOW YOUR WORK
Answer: 38
Step-by-step explanation:
3.8=19/5
u have to flip the reciprocal to divide by fraction so 1/10 will be just 10
Then u get 19/5 x 10
You can reduce the GCF so it would be 19 x 2
19 x 2 = 38
Or you can plug it into your calculator (3.8 x .1)
A student usually save $20 a month.He would like reach a goal $350 in 12 months
he will need to save 30 dollars a month
Step-by-step explanation:
help me and ill give brainly
Answer:
(-inf, 5)
Step-by-step explanation:
just the previous answer, in anothe r form
Which of the following lines is perpendicular to y=1/4x-3?
•
A. y = 4x
B. 4x - y = -2
C. y = -4x + 6
D. 8x - 2y = 3
E. y = 4x + 9
•
(I think it’s either C, or D, please help I don’t understand)
Answer:
The answer is
[tex]y = - 4x + 6[/tex]
Step-by-step explanation:
Negative reciprocal for the slope.
The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.
What is the equation of a perpendicular line?Let the equation of the line be y = mx + c. Then the equation of the perpendicular line that is perpendicular to the line y = mx + c is given as y = -(1/m) + d. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given as,
y = (1/4)x - 3
The slope of the line is 1/4. Then the slope of the perpendicular line will be - 4. Then the equation of the line is given as,
y = -4x + d
The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.
More about the equation of a perpendicular line link is given below.
https://brainly.com/question/14200719
#SPJ5
What is the perimeter of a rectangle that
is 5 inches by 3 inches?
Answer:16
Step-by-step explanation:
A ladder leans against a wall creating a 58 angle. The ladder reaches 4.5m up the wall. Calculate how long the ladder is
Answer:
Follow the steps above
anyone knows the answer ?
Answer:
yes
Step-by-step explanation:
What is the value of x? (-8x = 24) - 6x +18 - 122
Enter your answer in the box X=
Answer:
the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40
Hope you do good :)
3t+7=3t+6 pls help ...
Answer:
There are no values of t that make the equation true.
No solution
Step-by-step explanation:
Which expression could be used to represent the area of the rectangle?
A. 10x
B. x² + 8
C. 4x + 16
D. x² + 8x
E. 2x + 8x
Answer:
option d x^2 + 8x
Step-by-step explanation:
area of rectangle = l×b
=x×(x+8)
=x^2+8x
given the function f(x)=x^2+5,evaluate f(-10)
Answer:105
Step-by-step explanation:
given g(x) = 1/x+2 and h(x) = 3x
check all restrictions on the domain of gh
Answer:
Step-by-step explanation:
C
Convert the following repeating decimal to a fraction in simplest form.
.53
Amanda has 745 blueberries. She separated the blueberries into 5 equal groups. How many blueberries are in 2 of the groups?
Answer:
298
Step-by-step explanation:
5 equal groups of 745 would have 149 blueberries. You want to find how much is in 2 groups so you add 2 groups together, which is 149 + 149. That equals 298.
BRAINLEST ANSWER!!
Find the coordinates of midpoint E.
(Enter answer in simplified form.)
Answer: -2a,-2b
Step-by-step explanation:
Graph the solution of this inequality:
350 > 125 + 150
10 20 30 40 50 60 70 80 90 100 110 120
Drag a point to the numb
Step-by-step explanation:
The given inequality is :
[tex]350\ge 125+15x[/tex] ....(1)
We need to draw graph of this inequality.
Subtract 125 from both sides.
[tex]350-125\ge 125-125+15x\\\\225\ge 15x[/tex]
Dividing 15 to both sides.
[tex]\dfrac{225}{15}\ge \dfrac{15x}{15}\\\\15\ge x[/tex]
Hence, the attached figure shows the graph for this inequality.
The sum of the interior angles of a triangle is equal to
Answer:
180°
Step-by-step explanation:
The sum of the 3 interior angles of a triangle = 180°
round to the nearest tenth
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Answer:
21.4
Step-by-step explanation:
For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...
x = 21.4
__
If you want to actually go through the numbers, you know that ...
Cos = Adjacent/Hypotenuse
cos(21°) = 20/x
x = 20/cos(21°)
x ≈ 21.4
How to convert 0.231 to fraction
Answer:
[tex] \huge \boxed{0.231 =\frac{231}{1000}} [/tex]
hope this helps.
Translate the sentence Into an equation.
Twice the difference of a number and 9 equals 7.
Use the variable b for the unknown number.
Answer: b - 9 = 7.
Step-by-step explanation:
please help with this.
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Answer:
d. The triangles are not similar
Step-by-step explanation:
The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...
QR/RS = 4/15
In ΔVTU, we have ...
VT/TU = 8/32 = 1/4 ≠ 4/15
The triangles are not similar because corresponding sides are not proportional.
can someone help me asap please
Answer:
Here you go. It is really easy. All you have to do is translate the points. If it says translate 3 units up, you'd pick a point, and move it up 3 units. Then do it with all the others and BOOM! You did it! Try one of the problems yourself to make sure you understand what to do next time.
Have a nice day!
can you help me with this question
Increase 40 by 50%
Answer:
60
Step-by-step explanation:
first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer
Answer:
60!
Step-by-step explanation:
100% is 40
to increase that by 50, do 1.5 times 40
the answer to that is 60
10 = k + 3 + 6k
How do I solve this equation?
Answer:
k = 1
Step-by-step explanation:
[tex]10=k+3+6k\\\\10=k+6k+3\\\\10=7k+3\\\\10-3=7k+3-3\\\\7=7k\\\\\frac{7=7k}{7}\\\\\boxed{1=k}[/tex]
Hope this helps.
Answer:
K=1
Step-by-step explanation:
So first you would add the K's together.(6k+k=7k)
10=7k+3
Then you would subtract 3 from 3 and 10
7=7k
Divide 7 on both sides
k=1
Hope that helps:)