Answer: 7⁵
Step-by-step explanation:
7×7×7×7×7
Here 7 is mutiplied by 7 , 5 times
Therefore it will be 7 to the power 5 = 7⁵
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Consider the formula 4(h-3k)= h+7.
(a) Make k the subject of the above formula.
(b) If the value of h is decreased by 8, write down the change in the value of k.
guys I really need help
plzzzzzz
Answer:
=k=0.25h-7/12
Step-by-step explanation:
4(h-3k)=h+7
=4h-12k=h+7
collecting like terms and leaving characters with k on 1 side, we get;
12k=3h-7
=k=0.25h-7/12
Help with this find the image of (1 ,2) after a reflection about y=x followed by a reflection about y=-x
Answer: (-1, -2)
Step-by-step explanation:
so at first you have (1, 2)
then you were asked to reflect about y=x which is (x, y) = (y, -x)
(1, 2) = (2, -1)
then followed by y=-x which is (x, y) = (-y, -x)
(2, -1) = (-1, -2)
I hope this helps!
Given = 1/(−3), what is ((+ℎ)−())/ℎ ?
Answer:
-(1/(x+h-3)(x-3))
Step-by-step explanation:
y=1/(x-3)
(f(x+h)-f(x))/h=(1/(x+h-3)-1/(x-3))/h=-(1/(x+h-3)(x-3))
Clarissa and Shawna, working together, can paint the exterior of a house in 6 days. Clarissa by herself can complete this in 5 days less than Shawna. how long will it take Clarissa to complete the job by herself?
Answer:
Clarissa will take 10 hours by herself
Step-by-step explanation:
Let s = time for shawna
s-5 = time for clarissa
The formula for determining the time is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/s + 1/(s-5) = 1/6
Multiply each side by 6s(s-5) to clear the fractions
6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)
Distribute
6(s-5) + 6s = s(s-5)
Distribute
6s -30 +6s = s^2 -5s
Combine like terms
12s -30 = s^2 -5s
Move everything to the right
0 = s^2 -5s -12s +30
0 = s^2 -17s +30
Factor
0 = ( s-15) (s-2)
Using the zero product property
s-15 =0 s-2 =0
s =15 s=2 ( This is not a reasonable answer since it is less than the time together)
s=15
s-5 = 10
Clarissa will take 10 hours by herself
Can someone pls help and explain it
Answer:
(7,-4) ; 12
Step-by-step explanation:
Basically, three corners of a rectangle are already on the graph. If you put a dot at (7,-4), that is the last corner(vertex) that finishes the rectangle
Then to find base of the rectangle, you find the length of the longer side, (the distance between the x coordinates). So you would subtract -5 from 7 and get 12, and 12 is the length of your base.
Graph a rectangle on the coordinate plane with an area of 250 ft^2. Pretend 1 unit=10 feet.
Answer:
turn the 10 to 5 and divide 250 by 2 which will give you your l and w subract 2 from your l and add 2 to your your w
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the area is to be 250 ft^2, one possible set of dimensions would be
25 ft by 10 ft.
If 1 unit on the coordinate plane represents 10 feet, then the dimensions of the drawing would be 2.5 units by 1 unit.
Which rational number is the greatest
a. 0.55
b. 0.6
c. 9/20
d. 1/2
I think d.1/2 number is the greatest rational number .
help pleasseeeee ! 15 points
the answers are
(-1,-5)
(0,-3)
(4,5)
(9,15)
Answer:
(0,-3)
Step-by-step explanation:
2x-y = 3
x+2y = -6
Multiply the first equation by 2 so we can eliminate y
2(2x-y =3)
4x -2y = 6
Add this to the second equation
4x -2y = 6
x+2y = -6
-----------------
5x +0y = 0
x = 0
Now find t
x+2y = -6
0+2y = -6
2y =-6
Divide by 2
y = -3
Answer:
Step-by-step explanation:
Let's try to eliminate y.
First we multiply the first equation by 2,
4x - 2y = 6
x + 2y = -6
Then we add them together
5x = 0
x = 0
Now we plug x into the first equation,
4(0) - 2y = 6
-2y = 6
y= -3
Now we plug x into the second equation,
0 + 2y = -6
2y = -6
y = -3
So our answer is,
(0,-3)
The surface area, A, of a cylinder of radius, r, and height, h, can be found with the equation above. Which of the following correctly shows the cylinder's height in terms of its radius and surface area?
Step-by-step explanation:
If r and h are the radius and height of the cylinder, then its surface area A is given by :
[tex]A=2\pi r^2+2\pi rh[/tex] ....(1)
We need to find the cylinder's height in terms of its radius and surface area. Subtracting [tex]2\pi rh[/tex] on both sides, we get :
[tex]A-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\A-2\pi r^2=2\pi rh[/tex]
Dividing both sides by [tex]2\pi r[/tex]. So,
[tex]\dfrac{A-2\pi r^2}{2\pi r}=\dfrac{2\pi rh}{2\pi r}\\\\h=\dfrac{A-2\pi r^2}{2\pi r}[/tex]
Hence, this is the required solution.
59,8x60,2 bằng bao nhiêu ạ
Answer:
3,6
Step-by-step explanation:
I need a written response to solve all 4 steps
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
Answer:
a. -2
b. s = 2 and y = -5
c. (2.5, -9)
d. -7x - 2
Step-by-step explanation:
a. In the image, I have used rise over run, which is -8/4 or -2.
b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.
c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).
d. y = mx + b
5 = (-7)(-1) + b
5 = 7 + b
-2 = b
y = -7x - 2
Help please!!! Tyyyyyyy
Answer:
4/20
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The probability of landing on tails for any fair coin is [tex]\frac{1}{2}[/tex], or 50%. It doesn't matter how many times you've landed on heads/tails before, it always remains at [tex]\frac{1}{2}[/tex].
Hope this helped!
Use inverse operations to solve each equation. Explain each step and identify the property used to reach step. 19 = h/3 - 8
==================================================
Explanation:
19 = h/3 - 8
19+8 = h/3 - 8+8 .... see note 1
27 = h/3
h/3 = 27
3*(h/3) = 3*27 .... see note 2
h = 81
----------
note 1: We add 8 to both sides to undo the "minus 8". This is the addition property of equality. Addition is the inverse of subtraction. note 2: We use the multiplication property of equality. This is where we can multiply both sides by the same number and keep the equation the same (basically balancing both sides). Multiplication is the opposite of division.How can you create a transformation by using other combination of transformations
489
X
96°
x =
degrees
Answer:
x=144°
Step-by-step explanation:
To work out x, you have to find the other angle in the triangle.
Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.
48+96=144°
180-144=36°
Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.
180-36=144°
x=144°
Hope this helps :)
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
So,[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]
For what values of the variable does the following expression make sense:
(squareroot) 1+3a/25
Answer:
a ≥ -1/3
Step-by-step explanation:
The square root must be greater than or equal to zero
sqrt(1+3a /25) ≥ 0
Square each side
(1+3a)/25≥ 0
Multiply each side by 25
1+3a≥0
Subtract 1
3a ≥ -1
Divide by 3
a ≥ -1/3
Which is a y-intercept of the continuous function in the
table?
х
-2.
-1
0
1
2.
3
f(x)
15
10
5
0
-5
-10
O (5,0)
O (0, 1)
O (0,5)
O (1,0)
Answer:
(0,5) --> 5 is the y intercept
Step-by-step explanation:
Give 6 x,y pairs you look for the pair with x=0 to find the y intercept,
SO that would be the 3rd set or (0,5)
The y-intercept of the function is A = ( 0 , 5 )
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Now , the x values of the function are
x = { -2 , -1 , 0 , 1 , 2 , 3 }
And , the y values of the function are
y = { 15 , 10 , 5 , 0 , -5 , -10 }
And , the y intercept of the function is when the value of x = 0
So , when x = 0
y = 5
Hence , the y-intercept is ( 0 , 5 )
To learn more about function rule click :
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f(x) = x − x^2, find f(x^2)
Answer:f ( x ) − 1 = √ x + 2
Step-by-step explanation:
Answer:
f(x^2) = x^2 - x^4
Step-by-step explanation:
f(x) = x − x^2,
f(x^2) = (x^2) - (x^2)^2, 2 to the power of 2 equals 4
f(x^2) = x^2 - x^4
Two supplementary angles measure (7x + 11) and (14x + 1)º. What is
the measure of the smaller angle?
(1) 40.5°
(2) 67°
(3) 108°
(4) 123°
Answer:
67 degrees (Answer 2)
Step-by-step explanation:
These two angles must sum up to 180 degreess because they are supplementary. Then:
7x + 11 + 14x + 1 = 180, or
21x + 12 = 180, or
21x = 168
Solving for x, we divide both sides by 21. This results in x = 8.
The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).
(-root3a-a)²
please solve this send answer quickly
As soon as possible
Answer:
The expression (-root3·a - a)², can be simplified into the form a² × (4 + 2·√3)
Step-by-step explanation:
The given expression can be written as follows;
(-root3·a - a)² = (-√3·a - a)²
Which can be expanded to give;
(-√3·a - a) × (-√3·a - a) = 3·a² + 2·√3·a² +a²
We collect like terms to get;
3·a² + 2·√3·a² +a² = 3·a² +a²+ 2·√3·a² = 4·a² + 2·√3·a²
We factorize out the common coefficients of the terms to have;
4·a² + 2·√3·a² = a² × (4 + 2·√3)
Which gives the initial expression (-root3·a - a)², to presented in the form a² × (4 + 2·√3).
Michael says that the reciprocal of a number is always larger than the number. Show how Michael is wrong
Answer:
Step-by-step explanation:
Take example of 5/4.
Reciprocal= 4/5
5/4>4/5
so reciprocal of a no. may be greater than or equal to the original no.
Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:
h(x) = g(x-3).
Which statement describes how the graph of h is different from the graph of g?
А. The graph of h is the graph of g horizontally shifted left 3 units.
B. The graph of h is the graph of g vertically shifted up 3 units.
C. The graph of his the graph of g vertically shifted down 3 units.
D. The graph of h is the graph of g horizontally shifted right 3 units.
Answer:
B The graft of h is the graft of g vertically shifted up 3 units
Plz HELP !!!!! I would appreciate it!!!
Answer/Step-by-step explanation:
a. The sides of ∆ABC can be labelled as follows, taking θ as the reference point.
Adjacent = side AB
Opposite = side BC
Hypotenuse = side AC
b. I. "<B is an acute angle" => FALSE. It is a right angle (90°)
II. "The side opposite to <C is BC" => FALSE. The side opposite to <C is AB.
III. The side adjacent to <A is AB => TRUE
IV. The side opposite to <B is not the longest. => FALSE. It is the hypotenuse and the longest side.
c. Cos θ = [tex] \frac{adjacent}{hypotenuse} = \frac{AB}{AC} [/tex]
Tan θ = [tex] \frac{opposite}{adjacent} = \frac{BC}{AB} [/tex]
d. Sin C = [tex] \frac{opp}{hypo} = \frac{AB}{AC} [/tex]
Cos C = [tex] \frac{adjacent}{hypotenuse} = \frac{BC}{AC} [/tex]
Tan C = [tex] \frac{opp}{adjacent} = \frac{AB}{BC} [/tex]
Can someone please help me?
Answer:
The equation of the perpendicular line (PR) to line PQ is; y = -0.5x - 1.5
Step-by-step explanation:
The line is perpendicular to line adjoined by points P(-3,0) and Q(0,6)
The slope of line PQ is;
Slope = change in y ÷ change in x = [tex]\frac{6 - 0}{0 -- 3}[/tex] = 2
The product of slopes of two perpendicular lines = -1
Hence the slope of line PR = -1 ÷ slope of line PQ = -1/2
Taking another point (x,y) and point P(-3,0) the equation of line PR is;
Slope = [tex]\frac{y - 0}{x - -3} = -\frac{1}{2}[/tex]
Cross-multiplying gives;
2y = -x - 3 , y = -x/2 - 3/2 , y = -0.5x - 1.5
I need help with #7 I got no clue what to do
1. In a group of 500 students, 280 like bananas, 310 like apples, and 55 dislike both the fruits.
i) Find the number of students who like both the fruits.
ii) Find the number of students who like only one fruits.
iii) Show the result in venn-diagram
Answer:
Please see the attached images
Step-by-step explanation:
Find the value of x. Round to the nearest degree.
60
33
57
29
Answer:
33
Step-by-step explanation:
that is pretty close to a 45 degree angle so i would say about 33
Answer:
33
Step-by-step explanation:
First find the missing side...
11^2 + a^2 = 20^2
121 + a^2 = 400
400 - 121 = a^2
a^2 = 279
a = 16.7
A = 16.7, B = 11, C = 20
20 - 16.7 = 3.3
Estimate
3 x 11 = 33
Simplify 7 to the 6th power ⋅ 7 to the fifth power.
49 to the 11th power
49 to the 35th power
7 to the 11th power
7 to the 35th power
Answer:
7 to the 11th power
Step-by-step explanation:
7⁶×7⁵=7¹¹
because a¹×a¹=a¹+¹
6x + 7y = 4x + 4y what is x when y is -4 PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y = (-2)(3)x
Step-by-step explanation:
Answer:
x is 6
Step-by-step explanation:
6x -28 = 4x - 16
6x = 4X + 12
2X = 12
X = 6
Kristian and Stephanie share money in the ratio 3 :2 Kristian receives $72 How much will Stephanie receive
Answer:
48
Step-by-step explanation:
Kristian : Stephanie
3 2
Kristian receives 72
72/3 = 24
Multiply each side by 24
Kristian : Stephanie
3*24 2*24
72 48