Answer:
Step-by-step explanation:
Equation
√(x + 5) - 1 = 2 I take it that you want the 5 to be with the x.
Solution
√(x + 5) - 1 = 2 Add 1 to both sides
√(x + 5) - 1 +1 = 2 + 1 Combine
√(x + 5) = 3 Square both sides
√(x + 5)² = 3² Combine
x + 5 = 9 Subtract 5 from both sides
x + 5- 5 = 9- 5
x = 4
Answer x = 4
Identify the slope and y-intercept of the line y=3/5×-3
Answer:
slope = 3/5
y-intercept = -3
Step-by-step explanation:
This equation is formatted in slope-intercept form. The general structure of these equations are:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.
y = mx + b
y = (3/5)x - 3
slope = m = (3/5)
y-intercept = b = -3
Answer:
slope = 3/5
y-intercept = -3
Step-by-step explanation:
This equation is formatted in slope-intercept form. The general structure of these equations are:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.
y = mx + b
y = (3/5)x - 3
slope = m = (3/5)
y-intercept = b = -3
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A. Saving money at the grocery store by using unit pricing.
a. Toilet paper A is 6 mega rolls for $4.59.
b. Toilet paper B is 12 mega rolls for $9.02.
In order to save money, the person should buy Toilet paper B.
Which option is cheaper?In order to determine the unit price of each option, divide the total cost by the number of rolls. The option that would save money is the cheaper option.
Unit cost = total cost / number of rolls
$4.59 / 6 = $0.77
$9.02 / 12 = $0.75
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Select the correct answer. Which expression is equivalent to this polynomial? 16x² +4
Answer:
(4x+2)(4x-2)
Step-by-step explanation:
Answer:
(4x+2)(4x-2)
Step-by-step explanation:
There are 9 squares and 6 circles. What is the simplest ratio of circles to squares?
Answer:
2:3, 2 to 3
Step-by-step explanation:
9 and 6 are both factors of three, so you have to reduce. 3 goes into 9 tree times, and 3 goes into 6 twice. Since it is circles to squares, the 2 comes first then 3.
Hope this helps!
X=
08
09
0 10
4
10 X
Answer:
8
Step-by-step explanation:
Intersecting Chords Formula:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
5*x = 4*10
5x = 40
Divide by 5
5x/5 = 40/5
x = 8
00:57
Learn with an example
What is the volume of this cone?
Use ≈ 3.14 and round your answer to the
nearest hundredth.
19 ft
12 ft
The volume of the given cone.
Solution:[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]
[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]
Let's solve!
Substitute the values according to the formula.
[tex]V=\frac{1}{3}×3.14×{12}^{2}×19[/tex]
[tex]\large\boxed{V=2863.68 \: {ft}^{3}}[/tex]
Therefore, the volume of the given cone is 2863.68 cubic feets.
Find the amount of money
accumulated after investing a
principle P for years t at interest
rate r, compounded continuously.
P = $12,000 r = 7.5% t=7
Answer:
$20,285.51
Step-by-step explanation:
A = P + I where
P (principal) = $12,000.00
I (interest) = $8,285.51
A = Pe^(r*t)
A = 12,000.00(2.71828)^((0.075)*(7))
A = $20,285.51
e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828
e here helps to show continously compounded interest
calculatorsoup
wikipedia
Solve for x
*
105⁰
X+35⁰
X+250 S
120°
R
x = 85
sum of all the angles must be 540,
105 + 120 + 3x + 35 + 25 = 540
3x = 255
x is 85
what is the volume of the composite
Triangle JKL is reflected across the y-axis to create ∆J' K' L' . Are the two figures are congruent
Can anyone please help me solve this and show how you did it? Thank you so much!
-3(-2w-6)<=10-2(-2w-4.5)
(WILL GIVE OUT 50 POINTS!!)
help again...its for math offering 15 points
Answer:
[tex]\tan \dfrac{\theta}2 = \dfrac{1}2[/tex]
Step by step Explanation:
[tex]\sin \theta = \dfrac{\text{Perpendicular} }{\text{Hypotenuse}} = \dfrac{12}{15}\\\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{9}{15}\\\\\text{Now,}\\\\\tan \dfrac{\theta}2 = \dfrac{\sin \tfrac{\theta}2}{\cos \tfrac{\theta}2}\\\\\\~~~~~~~~=\dfrac{2\cos \tfrac{\theta}2 \sin \tfrac{\theta}2 }{2\cos^2 \tfrac{\theta}2}~~~~~~;\left[\text{Multiply by}~ 2\cos\tfrac{\theta}2 \right][/tex]
[tex]=\dfrac{\sin \theta}{1+ \cos \theta}~~~~~~~~~~~~;[2 \sin x \cos x = \sin 2x ~ \text{and}~ 2\cos^2 x =1+\cos 2x]\\\\\\=\dfrac{\tfrac{12}{15}}{1+ \tfrac{9}{15}}\\\\\\=\dfrac{\tfrac{12}{15}}{\tfrac{24}{15}}\\\\\\=\dfrac{12}{15}\times \dfrac{15}{24}\\\\\\=\dfrac{12}{24}\\\\\\=\dfrac{1}2[/tex]
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.
2(x2 + 6x + 9) = 3 + 18
2(x2 + 6x) = –3
2(x2 + 6x) = 3
x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot
2(x2 + 6x + 9) = –3 + 9
To complete squares, she must use, in order:
Third step.First step.Fourth step.Which steps could she use to solve the quadratic equation?
Here we have the quadratic equation:
[tex]2x^2 + 12x - 3 = 0\\[/tex]
There are some ways of solving this, the first approach is completing squares, where we can write:
[tex]2(x^2 + 6x) - 3 = 0\\\\2(x^2 + 2*3*x + 9 - 9) -3 = 0\\[/tex]
Here we add and subtract 9 to complete squares and not change the equation. Here we used the third step only.
Now we just complete squares to get:
[tex]2*(x^2 + 6x + 9) - 2*9 - 3 = 0\\\\2(x^2 + 6x + 9) = 3 + 18 = 21\\\\2*(x + 3)^2 = 21\\\\x + 3 = \pm \sqrt{\frac{21}{2} }[/tex]
Where the first and fourth steps are also used.
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Maria has 14 fewer apps on her phone than Orlando. If the total number of apps on both phones is 34, how many apps are on each phone?
Setting up and equation from the word problem, Orlando has 24 apps on his phone, and Maria has 10 apps on her phone.
How many apps are on each phone?Let's assume that Orlando has x number of apps on his phone. According to the given information, Maria has 14 fewer apps, so the number of apps on Maria's phone would be (x - 14).
The total number of apps on both phones is 34, so we can set up the equation:
x + (x - 14) = 34
Simplifying the equation:
2x - 14 = 34
Adding 14 to both sides:
2x = 48
Dividing both sides by 2:
x = 24
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pls help me with this problem :)
The areas of two similar triangles are 9 cm² and 49 cm². One of the sides of the first
triangle is 2 cm. What is the length of the corresponding side of the other triangle?
Answer:
I believe it should be rounded to 11, if not decimal would be 10.88
Step-by-step explanation:
49 divided by 9 equals 5.44 which is the amount times the 49cm^2 triangle is compared to the 9cm^2. So then the side is 2cm, multiply by the amount times bigger the other triangle is which would be 10.88. Hopefully I'm not wrong:)
Answer:
The answer is 4 and 2/3 cm²
Step-by-step explanation:
Take the square root of 49 and 9 and you'll get 7 and 3 since the scale factor is the large area over the small area.
The large area would be √49 cm²
The small area would be √9 cm²
7 x cm
------ = ----------, cross multiply
3 2 cm
7 × 2 = 3 × x
14 = 3x
x = 14/3, x = 4 and 2/3
What part of the circle below is highlighted in red?
A. Radius
OB. Chord
O C. Diameter
OD. Center
Hi Student!
Let's go through each of the options that were provided to the question stating what part of the circle was highlighted in red and talk about what they mean.
First off, radius is the distance from the outer line to the middle which perfectly incapsulates what the red line is. Therefore, the correct answer would be option A, Radius.
However, if you want to understand the rest of the definitions you can follow with the bullets provided.
Chord - This isn't a math termDiameter - This term is actually quite similar to that of radius but instead this is the length from one side of the outer line to the other side of the outer line. This would cause the diameter to be twice the length of the radius and so if we want to determine the radius using the diameter we can just divide it by 2Center - This just description the dot in the middle of the circlethe avrge amount of rainfalls is?
Answer:
For the entire United States, excluding Hawaii and Alaska, the average amount of moisture falling as rain and snow is 30.21 inches
Step-by-step explanation:
depends on the state
sjifisifnjsjemwjjfjwudjjsdjf
Answer:
No answer
Step-by-step explanation:
I'm just a smart guy
hi everyone today is world environment day please give me 100 to 200 word eassy on environment to save nature can anyone help this ~
The conditions or surroundings in which we all live is called the environment. The main elements of the environment are air, water, temperature, weather conditions and more.
The environment is the base of the life cycle. It is the most precious gift of nature. But now our environment is in danger. Saving the environment is very important for living a comfortable life. It is the biggest challenge for humans to revert the environment to its real state. But nothing is impossible.
We need to take some steps immediately in order to save the environment and revert it back to its original form. Using natural resources efficiently is a powerful way to save our environment.
♥happy environment day♥☆...hope this helps...☆
_♡_mashi_♡_
Dragon and lion dances are performed in a parade on Chinese New Year. The
dragon costume is 112 feet long. This is 8 times as long as the lion costume.
Which equation can be used to find the length of the lion costume?
Answer: 112 divided by 8 equals the length of the lion costume
Step-by-step explanation: 112 divided by 8 equals ???
Try and work it out using the bus stop method
Sorry if I wasn’t much help.
Which of the following correctly replaces the question mark in Aisha's proof?
OHL
O SSS
O SAS
O AAS
The option that correctly replaces the question mark in Aisha's proof is SAS (Option C). See it explained below.
Mathematical proofs are statements that are used to demonstrate that a mathematical expression or logic of true.
Since the portion of the question that shows the question mark is missing, we can rewrite the proof as follows:
Step 1
AB Dissects BC
AE ║ BD
Reason - It is given
Step 2
BC ≅ BE
Reason - Definition of Segment Bisector
Step 3
∠ABE ≅ ∠CBD
Step 4
∠BCD ≅ ∠BEA
Reason
Alternative Interior Angles
Step 5
ΔBCD ≅ ΔBEA
Reason
SAS Postulate
Step 6
QED
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What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(15, 3)
(0,0)
The required equation of the line is 5y=x.
We are given to find the equation of the line passing through the points (0, 0) and (15, 3).
We know that
What is the slope point form of the line?The equation of a line passing through two points (a, b) and (c, d) is given by
[tex]y-b=\frac{d-b}{c-a}(x-a)[/tex]
Therefore, the equation of the line passing through the points (0, 0) and (15, 3) is given by,
Thus, the required equation of the line is
[tex]y-0=\frac{3-0}{15-0}(x-0)\\y=\frac{3}{15}x\\ y=\frac{1}{5}x\\ 5y=x[/tex]
Thus the required equation of the line is 5y=x.
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John has four times as much money as his sister Debbie who has half as much as their friend David. Together the three children have $105. a) How much money does Debbie have? Answer b) How much money does John have? Answer.. c) How much money does David have? Answer.. (1)
Let's say that the money that each person has is equal to a letter:
A=Debbie, B=John, C=David.
Now we can write some equations.
"John has four times as much money as his sister Debbie who has half as much as their friend David."
B = 4A
A = 0.5C
"Together the three children have $105"
A+B+C=105
This is now a system of equations problem. Substitute to solve.
A + (4A) + C = 105
(0.5C) + 4(0.5C) + C = 105
3.5C = 105, so C = 30.
Plug this into the previous equations to get A=15 and B=60
So Debbie has $15, John has $60, and David has $30
Blake has a points card for a movie theater. He receives 35 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 196 points for a free movie ticket. How many visits must Blake make to earn a free movie ticket?
Answer:
14 visits
Step-by-step explanation:
The total number of points on Blake's card will be the sum of the initial number and the number earned for visits. The number earned for visits is the product of the number of visits and the the points earned per visit.
__
setupThe number of points on Blake's card will be ...
p = 35 +11.5x . . . . . when Blake makes x visits to the theater
We want to find x when p=196, so we have ...
196 = 35 +11.5x
solutionThis 2-step equation is solved in the usual way.
161 = 11.5x . . . . step 1, isolate the variable term by subtracting the constant
14 = x . . . . . . . . step 2, divide by the variable coefficient
Blake must make 14 visits to earn a free movie ticket.
Answer:
A
tyler has a points card for a movie theater.
he receives 75 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
he needs 180 points for a free movie ticket.
.
a
how many visits must tyler make to earn a free movie ticket?
Step-by-step explanation:
One bag of bird seed weighs 20.25 pounds. What is the weight of 7 bags of the bird seed?
Answer:
141.75 pounds
Step-by-step explanation:
20.25* 7 = 141.75 pounds
You could also add 20.25 + 7 seven times.
To determine how American college students feel about commuting, 100 students at a private
the university was chosen by selecting 50 men and 50 women to participate. They were asked
how far they commute each day (in minutes) to campus.
a. Is this an observational study or experiment?
b. What is the sample?
c. What is the target population?
d. What is the sampling method? (Simple random, stratified, convenient, …)
e. Is the data collected qualitative or quantitative?
f. Why is it unlikely that the results of this study will be valid?
The nature of the research is called Observational Study while the target Population is American Students.
How to find the sampling method?
1) In study, we survey members of a sample without trying to affect them while in experiment, we assign people or things to groups and apply some treatment to one of the groups, while the other group does not receive treatment. Thus, this is an observational study.
2) The sample is the 100 students made up of 50 boys and 50 girls.
3) The target Population are American College Students
4) The sampling method is; Simple random Sampling
5) The data is qualitative because it deals with description of feelings rather than dealing with numbers and figures.
6) It is unlikely that the results would be invalid because of sampling bias as it was only done in a private university.
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3-² how do i evaluate this
Answer:
This will be a negative exponent so get rid of that negative number,
Step-by-step explanation:
This is very useful
The graph below shows how many cookies can be made depending on how many cups of flour are used. How many cookies will be made if 18 cups of flour are used?
192 cookies
96 cookies
48 cookies
288 cookies
Answer:
288
Step-by-step explanation:
Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.
You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change
96/6 = 16.
Now multiply 18 and 16 to get the number of cookies.
18 x 16 = 288
the price of a barrel oil currently cost $120. Next month if the price increases by 1/12 of the current cost, then what would be the new cost of a barrel of oil?
Answer:
$130
Step-by-step explanation:
120 x (1 + 1/12) = 120 x 13/12 = 130
Compare the data in the table with the relation f(x) = 2x − 8. Which relation has a greater value when x = 4?
Answer:
A
Step-by-step explanation:
dont have it but its A