Answer:
20
Step-by-step explanation:
AP EX Confirmed
=-= 50 Points =-= Must give the correct answer
Solve by equating exponents and using the Equality of Bases Property.
Solve (2)^x/2 = 16 for x
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Solve −18=6+6x .
x = __
Answer:
x = -4
Step-by-step explanation:
-18 = 6+6x
-18 -6 = 6x
-24 = 6x
-24/6 = x
x = -4
Checking Part:
-18 = 6 + 6x
-18 = 6 + 6(-4)
-18 = 6 -24
-18 = -18
Answer:
-4
Step-by-step explanation:
Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4
Hope this helps
Mr. McGregor has plowed a square plot of land to make a garden. The area of the square garden is 256 ft. To the 2nd power
What is the length of one side of the garden?
Answers:
16 ft
32ft
64ft
128ft
Answer:
16 ft
Step-by-step explanation:
Area = Side^2 = (s)^2 = 256, Side = 16.
So, 16 ft.
Mark this as Brainliest if this was correct! I really appreciate it! :D
Answer:
16ft
Step-by-step explanation:
Pls help due in a few min
Answer:
3 and 5 show how to convert 18 inches into yards
Answer:
Numer 3 and number 5.
Janene is solving the equation log3x324=2. Which exponential equation can she use to solve the problem?
A. 324^2=3x
B. 334^x=2/3
C. (3x)^2=324
D. 3x^2=324
Answer:
Option C: (3*x)^2 = 324
Step-by-step explanation:
Janene is solving the equation:
Log₃ₓ(324) = 2
First, some rules we need to remember:
Logₙ(x) = Ln(x)/Ln(n)
and:
Ln(x^b) = b*Ln(x)
So we can rewrite our expression as:
Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2
Ln(324) = 2*Ln(3*x)
Now we can use the second property:
Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )
The arguments in both sides must be the same thing, then:
324 = (3*x)^2
This is the exponential equation she needs to solve.
Then the correct option is C.
Part II: Constructed Response (2 pt)
4) (LT #5) One of the games at a carnival involves trying to ring a bell with a ball by hitting a
lever that propels the ball into the air. The height of the ball is modeled by the equation
h(t) = -10t2 + 30t. If the bell is 25 ft above the ground, will it be hit by the ball. Explain or justify
your response
Students, draw anywhere on this side!
Answer:
here hereh ehreh ehe
Step-by-step explanation:
NO LINKS!!! WILL REPORT!!!! NEED HELP ASAP
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using cos rule
cos 45=adjacent/hypotenuse
1/[tex]\sqrt{2}[/tex]=x/4(do cross multiplication)
x[tex]\sqrt{2[/tex]=4
x=4/[tex]\sqrt{2}[/tex]
x=2[tex]\sqrt{2}[/tex]
find the slope for me please (2, -5) (7, -5)
Answer:
slope=y2-y1/x2-x1
=-5+5/7-2
=0/5
=0
Step-by-step explanation:
Please answer this math question please and fast
Answer:
its do9ne
Step-by-step explanation:
Answer:
its the one next to the yellow one. hope it helps.
Step-by-step explanation:
help me on this question
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Step-by-step explanation:
Use proportions to solve this and the similarity from smaller side to corresponding larger side:
[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:
1050 = 25(4x + 10) and
1050 = 100x + 250 and
800 = 100x so
x = 8
On a set of blueprints for a new home, the contractor has established a scale that states ½ inch = 10 feet.
If the den has dimensions of 0.6 inch by 0.75 inch on the blueprints, what will be the dimensions of the actual den after the house is built?
*For this answer PLEASE answer with the number of feet by the number of feet
*Example: 16 feet by 20 feet OR 16 ft by 20 ft. You can use a decimal if it terminates
Answer:
12 ft by 15 ft
Step-by-step explanation:
set up a proportion of inches over feet equals inches over feet:
.5/10 = .6/x
cross-multiply to get:
.5x = 6
x = 12
.5/10 = .75/y
cross-multiply to get:
.5y = 7.5
y = 15
what is 2 1/4 equal to
Answer:
2.25
Step-by-step explanation:
divide
Answer:
9/4 or 2.25 Hope this helps
Step-by-step explanation:
I’ll give you Brainiest answer
Answer:
J or the last one
Step-by-step explanation:
Other two wouldn't work since -37 is the least and 37% is 0.37 which is less than 0.72
A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer.
The area of the base of the first sandbox is 64 square feet
What is the area?Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.
The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.
The area of a square is given by the formula: A = s², where s is the length of one side of the square.
In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:
A = 8² = 64 square feet.
So, the area of the base of the first sandbox is 64 square feet
To know more about an area follow
https://brainly.com/question/29204021
#SPJ2
Solve for: n/6=4/2 ?
Answer:
n = 12
Step-by-step explanation:
Given
[tex]\frac{n}{6}[/tex] = [tex]\frac{4}{2}[/tex] = 2 ( multiply both sides by 6 )
n = 12
In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?
Answer:
∴[tex]Cos A=\frac{AC}{AB}[/tex]
➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]
➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]
➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]
➛ [tex]x=18[/tex] ✓
➛[tex]AC=18[/tex] ✓
----------------------
hope it helps...
have a great day!!
the function f(x) is graphed below. if f(n)=0 what is the value of n?
Answer:
n = 6
Step-by-step explanation:
f(n) = 0 is on the n- axis at (6, 0 )
When f(n) = 0 then n = 6
help me pleaseeee this is due at 8 am
Answer:
Area = B x H + L (sum of sides of triangle)
= 9 x 12 + 10 (12 + 15 + 9)
= 108 + 360
=[tex]468in^2[/tex]
Either your options are wrong or question is to find lateral surface.
Lateral Surface area = ( a + b + c) x H , where a, b , c are sides of the triangle.
Lateral Surface Area = (12 + 15 + 9) x 10
=[tex]360in^2[/tex]
A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the ship is 45degrees. The distance from the top of the lighthouse directly to the ship is 4miles.Calculate the horizontal distance of the ship from the bottom of the lighthouse
Answer:
[tex]2\sqrt{2} \text{ mi}[/tex]
Step-by-step explanation:
See the attached image for a picture of the situation. The angle of depression lets you find the angle next to it but inside the triangle. It, too, must measure 45 degrees.
That means the triangle is an isosceles triangle (two legs of equal length).
Apply the Pythagorean Theorem.
[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]
May you help me with this❤️
Answer:
9.50x+130 > 700
Step-by-step explanation:
Answer:
9.50x+130> 700 I believe is the right answer.
Step-by-step explanation:
You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.
x equals how may hours
9.50x + 130 > 700
i need the answer!!! please
Answer:
sinx = e/f
cosx = d/f
tanx = e/d
Step-by-step explanation:
soh cah toa
sin= opposite/hypotenuse
cos= adjacent/hypotenuse
tan= opposite/adjacent
I need help pleaseeeee
Answer:
C. 8.66 in
Step-by-step explanation:
Using the formula of circumference of a circle
[tex]2\pi \: r [/tex]
then,
first find r by plagging in the given data.
so, r = 4.33 in
since it's diameter needed, then
r + r = d
4.33 in + 4.33 in = 8.66 in
someone help as soon as possible pls
Answer:
Check the explanation below please! :)
Step-by-step explanation:
"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.
The color options for each item are: yellow (Y), green (G), or black (B).
The sample space for the color selection of hats and pants is:
Sample Space
Hats Pants
Y Y
Y G
Y B
G Y
G G
G B
B Y
B G
B B
There are a total of 9 possible selections."
Credit goes to: https://brainly.com/app/profile/13544493/answers
For the figure shown on the right, find the value of the variable and the measures of the angles.
——
Please please help me!!
Answer:
angle R = 37
angle Q= 114
angle p = 29
Step-by-step explanation:
(3x+3) +(x-8) +(x) =180
5x-5=180
x=185/5
x=37
Rationalize the denominator and simplify √a + 2√y/√a-2√y
Answer:
[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]
Step-by-step explanation:
Simplify each term.
A race horse runs one lap around a lake in 10 minutes.
How long will it take for the horse to run 6 laps around the lake at the same pace?
Answer:
1 hour or 60 minutes.
The circle below is centered at the origin and has a radius of 10. What is its
equation?
Answer:
x^2 + y^2 = 100
Step-by-step explanation:
The general form of the equation of a circle is
(x-h)^2+(y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-0)^2+ (y-0)^2 = 10^2
x^2 + y^2 = 100
What is the first step in solving the following equation:
−1\2x − 33 = 33
Answer:
add 33 to both sides
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] x - 33 = 33 ( add 33 to both sides )
- [tex]\frac{1}{2}[/tex] x = 66 ( multiply both sides by - 2 to clear the fraction )
x = - 132
Answer:
First step is to make x the subject of the equation.
Step-by-step explanation:
[tex]-\frac{1}{2} x - 33 = 33\\\\-\frac{1}{2} x= 33 + 33\\\\-\frac{1}{2} x = 66\\\\- x = 2 \times 66 = 132\\x = -132[/tex]
Help me find the mean mode range median
Answer:
Mean=2.53
median=2
mode=2
range=3
Step-by-step explanation:
1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4
MEAN
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
38/15=2.53
MEDIAN
Arrange data values from lowest to the highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
MODE
Mode is the value or values in the data set that occur most frequently.
RANGE
18-15=3
PLS HELP THIS IS MY FINAL
Answer: C. 25.6
Step-by-step explanation: