Answer:
x = 5
Step-by-step explanation:
2⁴(2x) = 2⁵(x + 3)
2^8× = 2^5x + 15
cancel out the 2
8x = 5x + 15
8x - 5x = 15
3x = 15
divide through by 3
x = 5
A rectangular garden has an area of 84 square feet and a length of 7 feet. What is the width of the garden?
Answer:
12 ft
Step-by-step explanation:
Given data
Area= 84 ft^2
Length= 7ft
The expression for the area is
Area= L*W
substitute
84=7*W
W= 84/7
W= 12ft
Hence the width is 12 ft
Answer:12ft
Step-by-step explanation:
Which is a solution to the equation
79 - 2 - 472
g.
96
Answer:
[tex]-395[/tex]
Step-by-step explanation:
[tex]79-2= 77-472 = -395[/tex]
Can you guys help me find the area of this shape. I've literally tried everything and got it wrong.
Answer:
110 square centimeters.
Step-by-step explanation:
The area for a trapezoid can be figured out with the equation (a + b)h/2.
(9 * 5) + (9 + 4)10/2 {Work inside the parentheses first.}
45 + (13)10/2 {Divide 10 by 2 to get 5.}
45 + 13(5) {Multiply 13 by 5 to get 65.}
45 + 65 {Add 45 & 65 to get 110.}
110 square centimeters.
The area of the figure is 110 square centimeters.
PLEASSE HELP!!! find the midpoint
Answer:
Option B --> (8, -5)
Step-by-step explanation:
To find the midpoint, we use the equation-
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
The coordinates given were (8, -2) (8, -8)
x1= 8,
x2 = 8
y1 = -2
y2= -8
Substituting these values in the equation:-
[tex]\frac{8+ 8}{2} , \frac{-2 + -8}{2}[/tex]
[tex]\frac{16}{2} , \frac{-10}{2}[/tex]
Coordinates of midpoint will be ---> (8, -5)
A highschool science teacher has 78 students. Of those students, 35 are in the band and 32 are on a sports team. There are 16 students who are not in the band or on a sports team. One student from the 78 students will be selected at random. Let even B represent the event of selecting a student in the band, and let event s represent the event of selecting a student on a sports team
Answer: s sports team because what i was thinking is that the band has a lot of kids so there for there gonna put that kid on the sports team or if the kid likes sports or if the kid likes band.
Step-by-step explanation:
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
ft²
The figure contains a triangle. One side is 3.8 feet. A second side is 4. 3 feet. The angle between the given sides is 53 degrees.
Step-by-step explanation:
i forgot sorry
Answer:
6.52 i took the test
Step-by-step explanation:
The height of a box is 30 inches.
What is the height of the box in feet?
Answer:
2.5 feet
Step-by-step explanation:
Answer:
2.5 feet
Step-by-step explanation:
[tex] \frac{30}{12} = 2.5[/tex]
(-18, -17)
(18,-17)
(18 , 17)
(-18 , 17)
Answer:
(-18, -17) in 3rd Quadrant
(18, -17) in 4th Quadrant
(18, 17) in 1st Quadrant
(-18, 17) in 2nd Quadrant
-TheUnknownScientist
A regular polygon has
Answer:
a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
Step-by-step explanation:
Answer:
A regular polygon has 5 sides
Please answer correctly
URS= 20º
Hope this helps!!
3x + 7 = 9x + 3
No solution one solution or infinite
Answer:
One solution.
Step-by-step explanation:
X=2/3 or x=2.6666
Answer:
x=2/3
Step-by-step explanation:
3x + 7 = 9x + 3
Collect like terms (subtract 3x from both sides and subtract 3 f4=rom both sides)
The resulting equation will look like this:
4=6x
=6x=4
Divide be 6 on both sides:
x=4/6
Simplify:
x=2/3 :-)
Graph each function. State the domain and range.
Answer:
Just put it in Geogebra classic. It's an app that helps very much with functions!
Find the perimeter of the figure.
Answer:
56 meters or 56 m
Step-by-step explanation:
We first want to find the small square at the top it has 3 sides of the same length so it must be a square
5+5+5 is = to 15.
Then to find the bottom rectangle we so 7+7+11+11+5 and we get 14+22+5 and then 36+5 to end up getting 41
Then 41+15=56
help appreciated :)
thank you
Answer:
-
He spent 1 hour in total
-
1 hour
There's two Xs on the graph indicating that he had two 1/2 hour hikes, so you just add that up. And that's 1 hour woo
Explain how you will evaluate 4[ 3(62+1)] - 63
Answer:
693
Step-by-step explanation:
You can simply apply BODMAS(Bracket of Division Multiplication Addition Subtraction)
Here, the brackets come first
62+1=63
63*3=189
189*4=756
756-63=693
Answer:
720
Step-by-step explanation:
First you do the things inside the parenthesis which is 62 + 1 = 63
Which gives you this -----> 4[ 3 x 63]-36
Then do the brackets (brackets are these btw "[ ]" )
After doing the brackets you should bet this 4 x 189 - 36
Then you do the multiplication -----> 756 - 36
756 - 36 = 720
which number is equivalent to
6^2×6^3
A. 150
B. 623
C. 327
D. 252
Answer:
150
Step-by-step explanation:
The value of y varies directly with x. When y = 75, x = ½ . What is the value of y when x is 2 ¼ ? A. 168.75 C. 66.67 B. 16.67 D. 337.5
Answer:
Step-by-step explanation:
The value of y varies directly with x. When y = 75, x = ½ . What is the value of y when x is 2 ¼ ? A. 168.75 C. 66.67 B. 16.67 D. 337.5
y ∝x
y = kx
k = y/x
Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF
Answer:
BC ≈ 4.17
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{5.7}[/tex] ( multiply both sides by 5.7 )
5.7 × cos43° = BC , then
BC ≈ 4.17 ( to 3 sf )
please help me do it I only have 3 min
Answer:
1 A. 1080°
1 B. 142°, 74°,74°, 125°, 125°
Step-by-step explanation:
1A.
The sum of the measure of the interior angle of a convex octagon is given as
S = (n-2)180°................. Equation 1
Where n = 8 sides
S = (8-2)180°
S = 6×180°
S = 1080°
1B.
The sum of the angle of a convex pentagon is given as
S = (5-2)180°
S = 3×180°
S = 540°
From the diagram,
2x+142+2x+(3x+14)+(3x+14) = 540
10x+170 = 540
10x = 540-170
10x = 370
x = 37°
Hence,
∠H = ∠K = 2(37) = 74°,
∠M = ∠L= (3×37)+14 = 111+14 = 125°
cual es la fraccion equivalente de 105/275
Answer:
21/55
Step-by-step explanation:
dividamos por 5
= 21/55
The area of a trapezoid is 60 square feet. If the bases of the trapezoid are 8 feet and 12 feet, what is the height?
O 6 ft
O 4A
O 3 ft
O 15 ft
Answer:
6
Step-by-step explanation:
60 = 12+8 divided 2 times height
60 = 20/2 x H
60 = 10 x H
60/10 = h
6 = H
The value of a piece of land in a town is increasing every year . Its value, in dollars, t years after 1970 and until 2001 can be modeled by the function 31, 000(1.001) ^ t . What is the domain of the function ?
A. All whole numbers greater than or equal to 1971 and less than or equal to 2001 .
B. All real numbers greater than or equal to 1971 and less than or equal to 2001 .
C . All non - negative real numbers less than or equal to 31.
D. All whole numbers less than or equal to 31
Answer:
D. All whole numbers less than or equal to 31
Step-by-step explanation:
The x value in this situation is the number of years after 1970 and until 2001.
This means that the domain will be the number of years after 1970 and until 2001.
Since the situation calculates the value of land in years after 1970, the domain will start at 0. Since it is until 2001, which is 31 years after 1970, the domain will go up to 31.
So, the domain will include all whole numbers less than or equal to 31.
The correct answer is D. All whole numbers less than or equal to 31
The domain of the function is a real number from 1971 to 2001. Then the correct option is B.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
The value of a piece of land in a town is increasing every year.
Its value, in dollars, in t years after 1970 and until 2001 can be modeled by the function
[tex]\rm y = 31, 000(1.001) ^ t[/tex]
Then the domain of the function will be
All real numbers are greater than or equal to 1971 and less than or equal to 2001.
More about the exponent link is given below.
https://brainly.com/question/5497425
PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Answer:
g(x) = -x²
Step-by-step explanation:
By looking at the graph and equation of the blue quadratic line, you know the y-intercept is 4. When you look at the red one you can see the y-intercept is 0 so then the equation should be g(x) = -x²
Answer:
Answer B
Step-by-step explanation:
If both the function have the same shape, it means that the function f(x) is just shifted downwards to obtain function g(x).
The function f(x) is given as,
[tex]f(x) = 4 - x^{2}[/tex]
Shifting the curve downwards by 4 unites, the function g(x) is obtained,
[tex]g(x) = f(x) - 4\\g(x) = 4 -x^{2} - 4\\g(x) = -x^{2}[/tex]
I think option B is the correct choice.
6. The roots of the equation 2x2 + 4 = 9x are
a. Real, rational, and equal
b. Real, irrational, and unequal
Real, rational, and unequal
d. Imaginary
Answer:
c. Real, rational and unequal
In the triangle below, with right angle
Find the degree measure of each angle in the triangle.
Answer:
90°, 62.8° and 27.2°
Step-by-step explanation:
180 = 5x + 133
47 = 5x
9.4= x
2 * 9.4 + 44 = 62.8°
3 * 9.4 - 1 = 27.2°
Can someone plz help !!!
Answer:
3
Step-by-step explanation:
5 + 4 = 9
12 - 9 = 3
In order to find the missing length you will need to add up the given lengths then subtract that from the total perimeter.
PLS ACTUALLY HELP ME , I WILL MARK BRAINLIEST
Answer: 15/8
Step-by-step explanation:
Can someone plz help me find the missing side using sin or cos and rounding it to the nearest tenth
Answer:
65.73
Step-by-step explanation:
use the law of sines
a/Sin A = b /Sin B
36/sin 84 = 33/sin x
sin x = (33(sin 84))/36
x = 65.73
Please help me on this question I really need help. :,)
Answer:
a. (7, 27) Polly was incorrect.
b. (3, 1) Polly was correct.
Step-by-step explanation:
a.
y = 4x - 1
2x - y = -13
We can solve this by substitution. Our first equation gives us y. Plug that into our second equation for each instance of y.
2x - y = -13
2x - (4x - 1) = -13
First distribute the negative sign across the parentheses.
2x - 4x + 1 = -13
Combine like terms.
-2x + 1 = -13
-2x = -14
Divide both sides by -2.
x = 7
Now that we know x, plug its value into one of our original equations.
y = 4x - 1
y = 4(7) - 1
Solve.
y = 28 - 1
y = 27
Our solution is (7, 27).
Let's check our answer by plugging both values into one of our original equations.
2x - y = -13
2(7) - 27 = -13
Solve.
14 - 27 = -13
-13 = -13
Your solution is correct.
Polly's solution was (-2, -9), which is incorrect.
b.
3x + 6y = 15
-2x + 3y = -3
Let's solve this by elimination. To solve by elimination means to eliminate a variable from the equation.
We have 3x & -2x and 6y & 3y. Notice that 6 and 3 can be simplified easily. To eliminate y, we want to multiply each factor of the second equation by -2.
-2x + 3y = -3
-2(-2x + 3y = -3)
4x - 6y = 6
Write the equations together.
3x + 6y = 15
4x - 6y = 6
Now we can see that the y variable will cancel out.
Apply the elimination method.
3x + 6y = 15
4x - 6y = 6
________
7x = 21
Divide both sides by 7.
x = 3
Now that we know x, plug its value into one of our original equations.
3x + 6y = 15
3(3) + 6y = 15
Solve.
9 + 6y = 15
6y = 15 - 9
6y = 6
y = 1
Our solution is (3, 1).
Let's check our answer by plugging both values into one of our original equations.
-2x + 3y = -3
-2(3) + 3(1) = -3
Solve.
-6 + 3 = -3
-3 = -3
Your solution is correct.
Polly's solution was (3, 1), so she was correct.
Hope this helps!
Answer ASAP! Best Answer Will Be Awarded!
Answer:
B
Step-by-step explanation:
4x-8y=16
add 8y to both sides, so you get
8y+16=4x
then subtract 16 from both sides
8y=4x-16
divide by 8 on both sides
y=1/2x-2