Answer:
x=1
Step-by-step explanation:
First, you shift the -2 to the other side. Your new equation is 2^2x -2^x=2. Then, you continue to solve and simplify the equation. Your final answer will be x=1.
Can someone please so me how I would figure out how to do this? I believe it’s subtraction. But I’m not sure
Answer:
A. 1/12.
Step-by-step explanation:
Orville and Wilbur ate 1/3 + 1/4
= 4/12 + 3/12
= 7/12 of the pizza.
So there was 1 - 7/12 = 5/12 of the pizza left.
So Ruth ate 5/12 * 1/5
= 5/60
= 1/12.
The lengths of two sides of an acute triangle are 8 inches and 10 inches. Which of the following could be the length of the third side?
A. 5 inches
B. 6 inches
C. 12 inches
D. 13 inches
Find the area of the given triangle. Round your answer to the nearest tenth.
Answer:
x = 7.3
Step-by-step explanation:
We're going to use the formula for the area of a triangle:
Area = 1/2 x base x height
We can see that the height of the triangle is 10, but we don't know what the base length is.
We know that one of the angles is 54 °, so we're going to use SOH CAH TOA to work out the length of the base.
We're using the height and the base, which are the opposite (O) and adjacent (A) sides relative to our angle. According to SOH CAH TOA we'll use tan (T).
The equation is tan(Ф°) = O/A, where Ф is our angle (54°), O is our opposite side (10), and A is our adjacent side. Since we don't know what A is we'll use x.
tan (54°) = 10/x
Multiply both sides of the equation by x.
x tan (54°) = 10
Divide both sides of the equation by tan(54°).
x = 10/tan(54°)
Use your calculator to solve for x.
x = 7.265
To the nearest tenth, x = 7.3
solve for 4x2 + x - 6 = 0
Answer: [tex]x= \frac{-1+\sqrt{97} }{8} , \frac{-1-\sqrt{97} }{8}[/tex]
Step-by-step explanation:
Use the Quadratic Formula .. if you use Completing the Square it'll take longer!!
In general, given [tex]ax^{2} +bx+c=0[/tex] , there exists two solutions where:
[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex] , [tex]\frac{-b-\sqrt{b^{2} }-4ac}{2a}[/tex]
In this case, a=4 , b=1 and c= -6
[tex]x= \frac{-1+\sqrt{1-4*4*-6} }{2*4}[/tex] , [tex]\frac{-1-\sqrt{1-4*4*-6} }{2*4}[/tex]
Simplify.
[tex]x=\frac{-1+\sqrt{97} }{8}[/tex] , [tex]\frac{-1-\sqrt{97} }{8}[/tex]
How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?
Answer: approximately 10.4 feet
Step-by-step explanation:
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You
pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the
experiment.
Question Progres
izzes
Answer:
coin: ball:
1
head -- 6
7
1
tail -- 6
7
The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.
Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
H T
----------------- ---------------
1 6 7 1 6 7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}
Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.
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Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent. A triangle with angles 55 degrees, 35 degrees, and 90 degrees. A triangle with angles 65 degrees, 65 degrees, and blank. A triangle with 3 angles of 60 degrees. All sides are congruent.
Answer:
The answer is A triangle with 45 degrees, 45 degrees, and 90 degrees
Step-by-step explanation:
(Will mark brainliest + 20 points :)) Gary randomly chose an item from the following lot. Use this lot to match the questions in the first column with their corresponding answer.
Answer:
1) Ice cream cone = 2/7
⇒ The number of ice cream cones in the lot = 4
The total number of items in the lot = 14
Probability = the number of that particular item in the lot ÷ the total number of items in the lot.
Probability = 4/14 = 2/7
2) Soccer Ball = 1/7
⇒ The number of soccer balls in the lot = 2
The total number of items in the lot = 14
Probability = the number of that particular item in the lot ÷ the total number of items in the lot.
Probability = 2/14 = 1/7
3) Books = 5/14
⇒The number of books in the lot = 5
The total number of items in the lot = 14
Probability = the number of that particular item in the lot ÷ the total number of items in the lot.
Probability = 5/14
4) Coins = 3/14
⇒ The number of coins in the lot = 3
The total number of items in the lot = 14
Probability = the number of that particular item in the lot ÷ the total number of items in the lot.
Probability = 3/14
PLS MARK ME AS BRAINLIEST!!
Use the set of ordered pairs to determine whether the relation is a function. {(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}.
Answer:
It is non function
Step-by-step explanation:
because the x values repeated, the input ( x values) produce more than one output.
This is not a function because for a value of x the value of the y comes out to be two.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The set of ordered pairs are as given below.
{(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}
The relation to be a function for each value of the x the value of the y should be unique.
This is not a function because for a value of x the value of the y comes out to be two.
More about the function link is given below.
https://brainly.com/question/5245372
What is the surface area of a cube in which each face of the cube has an area of 7 cm 2 ? surface area = cm 2 PLZZZZZZZZZZZZZZZZ HELP ASAP
Answer:
[tex]42cm^2[/tex]
Step-by-step explanation:
Well there are 6 faces on a cube and if each face is 7, the total should be 42.
The surface area of the cube is A = 42 cm²
What is the surface area of cube?The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.
Surface area S = 6a² ,
where a is the side of the cube
Given data ,
Let the surface area of cube be A
Now , the value of A is
Let the area of one face S = 7 cm²
So , Surface area A = 6a²
On simplifying , we get
A = 6 x 7 cm²
A = 42 cm²
Hence , the surface area is 42 cm²
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What is one of the solutions to the following system? Y-3=x, x2-6x+13=y
Answer:
x = 5, x = 2
Step-by-step explanation:
substitute what y equals in the second equation into the first equation.
x²-6x+13-3=x
x²-7x+10 = 0
(x-5)(x-2) = 0
x = 5, x = 2
Answer:
It's C my man
Step-by-step explanation:
One more than six times that number is 37. Select the solution and graph that represents the original number. x = 4 Point 4 graphed on number line. x = 6 Point 6 graphed on number line. x = 7 Point 7 graphed on number line. x = 9 Point 9 graphed on number line.
Answer:
x = 6
Step-by-step explanation:
to solve this you can just subtract 1 from 37 which is 36 and divide it by 6 which is 6.
The ratio of the lengths of corresponding parts in two similar solids is 4:1.
What is the ratio of their surface areas?
A. 16:1
B. 8:1
C. 4:1
D 641
Answer:
the ratio is 16:1
Step-by-step explanation:
surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.
[tex]4^{2} : 1^{2} -->16:1[/tex]
Answer:
A.16:1
Step-by-step explanation:
Sarah is making lemonade where she adds 2 parts lemon juice to 3 parts water.
a. Write the ratio of lemon juice to water as a fraction and in ratio form.
b. Sarah has 1 1/2 cups of lemon juice, write and solve a proportion to find out how much water she needs.
c. Write and solve a proportion to find out how much lemon juice she should add to 9 cups of water.
d. What percent of the lemonade is lemon juice? What percent is water?
e. She makes the lemonade, but her friend complains that it is too weak. Write a ratio of lemon juice to water that may fix the problem
f. Does Sarah need more lemon juice than water to make it stronger?
Answer:
a. 2/5 and 2:3
b.
c. 6
d. 40% and 60%
Step-by-step explanation:
a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is: 2.25 cups
c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups
d) 40% of the lemonade is lemon juice, and 60% is water.
e) She should increase the ratio to 3:2
f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
How to solve Ratio Problems?a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is solved as:
1¹/₂ cups of lemon / water = 2/3
³/₂ cups of lemon / water = 2/3
Cross multiply to get:
water = 9/4
water = 2.25 cups
c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:
lemon juice / 9 = 2/3
Cross multiply to get:
lemon juice = 18 / 3
lemon juice = 6 cups
d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:
Lemon juice: (2/5) * 100% = 40%
Water: (3/5) * 100% = 60%
e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.
f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
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Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds. Use the diagram to write an equation to represent the dogs’ weights. Let f represent the weight of Luisa’s dog. A long rectangle is the top section. 2 smaller rectangles are the bottom section. The top section represents . The bottom section represents . The equation is . ASAP PLEASE MARKING BRAINLIEST
Answer:
[tex]\frac{1}{3}[/tex]f + 5 = 23
Step-by-step explanation:
Let's put this statement into words: Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds.
This is an equation representing the weight of Fabiola's dog:
[tex]\frac{1}{3}[/tex]f + 5 = 23
I honestly have no idea what the diagram is supposed to mean, it'd be great if you could provide a picture :), then I'll edit my answer.
Answer:
The top section represents...........23 pounds
The bottom section represents..........5 + 1/3f
The equation is.........23 = 1/3f + 5
Step-by-step explanation:
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks. If John pays for 12 weeks of guitar classes from his account, his account balance will be $.
Answer:
-47.45$
Step-by-step explanation:
B=132.55-15x
B=132.55-15*12
B=132.55-180
B=-47.45
help if you can I'm struggling with this i only get half of it right
Answer:
Does order matter? No.
There are 4 items. He will choose 3.
This is a combination because order does not matter. (I need the options for the blank part)
The completed formula is 4C3=4×3×2=24
The probability that Simon will choose the 3 coins that equal $0.40 is 5/6. (Enter your answer as a reduced fraction using / for the fraction bar.
F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?
Answer: -3
Step-by-step explanation:
The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.
a=-2
b=-1
f(b)=f(-1)=(-1)²+10=11
f(a)=f(-2)=(-2)²+10=14
With our values listed, all he have to do is to plug them in.
[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]
Plz help me solve these:)
1. X/5 = 12/20 solve for x
2. -1⅗×(-⅝)=
3. X/14= 55/70 solve for x
Answer:
1. [tex]x=3[/tex]
2. [tex]1[/tex]
3. [tex]x=11[/tex]
Step-by-step explanation:
[tex]1.\\\frac{x}{5}=\frac{12}{20}\\\\x=3\\\\\\2.\\-1\frac{3}{5}*(-\frac{5}{8})=\\\\-\frac{8}{5}*(-\frac{5}{8})=\\\\-(-\frac{40}{40})=\\\\-(-1)=\\\\1\\\\\\3.\\\frac{x}{14}=\frac{55}{70}\\\\x=11[/tex]
What is the volume of this triangular prism?
A right triangular prism with a height of 13 meters, width of 6 meters, and length of 5 meters.
182 m^3
195 m^3
210 m^3
390 m^3
Answer:
195
Step-by-step explanation
since its 13 times 6 times 5 that is 390, but u have to do one half for triangles so its 195 i think
which inequality is represented by this graph ?
Answer:
D
Step-by-step explanation:
The point is on 4 so it cannot be A or B, and it is a closed circle not an open circle so it cannot be C.
Answer:
x≥4
Step-by-step explanation:
There is a closed circle at 4 which means there is an equal to sign and the lines goes to the right which means greater than
x≥4
Need help with this question
Answer:
700
Step-by-step explanation:
100+600. = 700 total points
Answer:
700
Step-by-step explanation:
100 + 600 =700 total
Find two consecutive whole numbers that square root 58 lies between.
Answer:
7 and 8
Step-by-step explanation:
the square root is 7.6
so it lies between 7 and 8
Two whole numbers that lie between √58 are 7 & 8
What are whole numbers?Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.
Given here, √58 =7.6517
Thus two whole numbers that are consecutive and √58 lies in between these two numbers are 7 & 8
Hence, Two whole numbers that lie between √58 are 7 & 8
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In the diagram below, if
AEB=50°, find the measure of
AED.
Answer: 130ᴼ
Step-by-step explanation:
BD is a straight line so AEB and AED add to equal 180ᴼ
180 - 50 = 130
Answer:
AED = 130
Step-by-step explanation:
AEB and AED form a straight line so they add to 180 degrees
AEB + AED = 180
50 + AED = 180
Subtract 50 from each side
AED = 180-50
AED = 130
The sum of 3c2d3 + (-5c2d3) + 10c2d3 is
Answer:
8c to the pwr of 2 d to the pwr of 3
Step-by-step explanation:
i think
Answer: To find the SUM of this expression, you end up with 8c^2*d^3. (Vote me brainliest please)
-2x + 4y = -2 and 6x -y = 28
Answer:
(5,2)
Step-by-step explanation:
I hope that it helped you and that I solved it correctly
Which ordered pair maximizes the objective function P = 3x + 8y?
оооо
(0, 0)
(2, 7)
(5, 6)
о(8, 1)
Answer:
(5,6)
Step-by-step explanation:
I think you are asking whats the biggest sum you can get out of the ordered pairs. If you are I'm pretty sure (5,6) is correct. If you are not asking that, I am sorry.
pick a pair of alternate exterior angles
Answer: angles 1 and 7
The original price of a plane ticket was reduce by 150 if p= the ticket original price in dollars which algebraic expression represents the reduced price?
Answer:
p-150
Step-by-step explanatio
p=precio
reducido=150
se redujo, quiere decir que es "-"
Entonces dice "que expresión presenta el precio reducido"
Entonces sería:
(precio) - (reducido)
p-150
HELLO PLEASE HELO ME.
Answer:
the answer is 33
Step-by-step explanation:90 - 57=33
Answer:
33 degrees
Step-by-step explanation:
90-57=33
