Answer:
x=5
Step-by-step explanation:
5x-12=13
Add 12 to each side
5x-12+12 =13+12
5x = 25
Divide by 5
5x/5 = 25/5
x = 5
write the expression without radicals, using only positive exponents
Answer:
[tex]\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}[/tex]
Step-by-step explanation:
∵∛x = (x)^1/3
∴ [tex]\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}[/tex]
So you can replace the radicals by fractional exponents
Answer:
The required expression is: [tex]\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}[/tex].
Step-by-step explanation:
Consider the provided expression.
[tex]\sqrt[3]{a^2+b^2}[/tex]
Now use the property: [tex]\sqrt[n]{x+y}=(x+y)^{\frac{1}{n}}[/tex]
By using the above property the provided expression can be written as:
[tex]\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}[/tex]
Therefore, the required expression is: [tex]\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}[/tex].
x is 110% of 10, y% of 50 is 3.5
Step-by-step explanation:
Set up a proportion.
x/10=110/100
x=11
Set up a proportion.
3.5/50=y/100
y=7
The slope of a line passing through H (-2,5) is -3/4. Which ordered pair represents a point in this line
(6,-1)
(2,8)
(-5,1)
(1,1)
PLEASE HELP!!!
Answer:
(6,-1)
Step-by-step explanation:
The ordered pair on the line will have the same slope. To find this, substitute the original point (-2,5) and each listed point into the slope formula. Simplify to see if the slope is the same.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{-1 - 5}{6 --2} = \frac{-6}{8} = -\frac{3}{4}[/tex]
The pair (2,8) gives a slope of 3/4.
The pair (-5,1) gives a slope of 4/3.
The pair (1,1) gives a slope of -4/3.
The solution is (6,-1).
which object has a weight of approximately 1 ounce?
A slice of bread weighs approximately 1 ounce.
How do u find a scale factor
There are a couple steps while finding the scale factor so stick with me. First, the main point is to find the similar figure. You need to find the corresponding side. Now, you write the ratio of the side you got. Begin with the small one, you will get a number below one. If you start with a greater number you will get a greater than the number one.
The length of the number line is one unit. What is the distance from 0 to point A on the number line?
A) 1/6 units
B) 2/6 units
C) 4/6 units
D) 2 units
Answer:
2/6 units
Step-by-step explanation:
Please help !! Asap Study island explanation please
What is the inverse of the statement below?
[if the perimeter of a square is 20cm, then its area is 25cm2.]
A) if the perimeter of a square is not 20cm, then its area is not 25cm2
B) if the perimeter of a square is not 20cm, then its area is 25cm2.
C) if the area of a square is not 25cm2, then its perimeter is not 20cm.
D) if the area of a square is 25cm2, then its perimeter is 20cm.
Answer:
A
Step-by-step explanation:
The inverse of a statement is the negation of both the hypothesis and conclusion. This means that both parts of the statement gets a not.
If the perimeter of a square is NOT 20cm, then its area is NOT 25cm2.
The circumference of a frying pan is 78.5 centimeters and the circumference of a plate is 47.1 centimeters. The diameter of the frying pan is 25 centimeters. What is the diameter of the plate? Determine the ratio of the circumference to the diameter for the frying pan and for the plate. (I need help please I don't get it.)
Answer:
The diameter of the plate is 15 centimeters
Step-by-step explanation:
* Lets explain how to solve the problem
- All circles are similar
- In the similar circles the ratio between their circumferences is equal
to the ratio between their diameters
* Lets solve the problem
∵ The circumference of a frying pan is 78.5 centimeters
∵ The circumference of a plate is 47.1 centimeters
∵ The frying pan and the plate are shaped circles
∴ The frying pan and the plate are similar
∴ C 1/C 2 = d 1/d 2 , where C 1 is the circumference of the frying pan ,
C 2 is the circumference of the plate , d 1 is the diameter of the
frying pan and d 2 is the diameter of the plate
∵ The diameter of the frying pan is 25 centimeters
∴ d 1 = 25
∵ C 1 = 78.5
∵ C 2 = 47.1
∵ C 1/C 2 = d 1/d 2
∴ 78.5/47.1 = 25/d 2
- By using cross multiplication
∴ 78.5(d 2) = (47.1)(25)
∴ 78.5(d 2) = 1177.5
- Divide both sides by 78.5
∴ d 2 = 15
∵ d 2 is the diameter of the plate
∴ The diameter of the plate is 15 centimeters
an eighth-grade class has 120 students. Gavin surveys a random sample of 30 students and find that 17 of them have brown eyes. How many students in the class are likely to have brown eyes? - Can someone explain this to me?
alright so what do you have to be is calculate 17 / 30one to do that multiply it by 120
Answer: 68
Step-by-step explanation: in this equation you would multiply 120 by 17 and you would get 2040. Then divide that by 30 and you get 68
How many solutions does the system have? \begin{cases} & y = 2x-1 \\\\ & y = 2x+6 \end{cases} ⎩ ⎪ ⎨ ⎪ ⎧ y=2x−1 y=2x+6
Answer:
A) y=2x−1
B) y=2x+6
The equations reduce to:
-1 = 6
Which is NOT true so those equations have NO solution.
Step-by-step explanation:
when $82.00 is increased by 5%, what is the new amount?
Answer:
The new amount is $86.10
Step-by-step explanation:
First we find the increase
82*5%
82 *.05
4.1
Next we add the increase to the original amount
82+4.1
86.10
The new amount is $86.10
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ First, you need to find what 5% of 82 is.
82*5%=4.1
Now, you need to add 4.1 to 82:
82+4.1= $86.10 is the new amount.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ TROLLER (don't worry, I didn't troll you)
How to divide 2.675 and 0.5
2.675 divided by 0.5 = 5.35.
Hope this is helpful.
Y=(x+5) (x+4) in vertex form of parabola
Answer:
Step-by-step explanation:
The vertex form of an equation of a parabola y = ax² + bx + c:
[tex]y=a(x-h)^2+k[/tex]
(h, k) - verex
[tex]h=\dfrac{-b}{2a},\ k=f(h)[/tex]
We have:
[tex]y=(x+5)(x+4)[/tex] use FOIL (a + b)(c + d) = ac + ad + bc + bd
[tex]y=(x)(x)+(x)(4)+(5)(x)+(5)(4)=x^2+4x+5x+20=x^2+9x+20[/tex]
a = 1, b = 9, c = 20
[tex]h=\dfrac{-9}{2(1)}=\dfrac{-9}{2}=-\dfrac{9}{2}[/tex]
For k, put the value of h to the equation y = (x + 5)(x + 4):
[tex]k=\left(-\dfrac{9}{2}+5\right)\left(-\dfrac{9}{2}+4\right)\\\\k=\left(-\dfrac{9}{2}+\dfrac{10}{2}\right)\left(-\dfrac{9}{2}+\dfrac{8}{2}\right)\\\\k=\left(\dfrac{1}{2}\right)\left(-\dfrac{1}{2}\right)=-\dfrac{1}{4}[/tex]
Finally:
[tex]y=1\bigg(x-\left(-\dfrac{9}{2}\right)\bigg)^2-\dfrac{1}{4}\\\\y=\left(x+\dfrac{9}{2}\right)^2-\dfrac{1}{4}[/tex]
The quadratic function y = (x + 5)(x + 4) in vertex form is y = (x + 9/2)^2 - 41/4, and its vertex is at (-9/2, -41/4).
Expand the given expression:
y = x^2 + 4x + 5x + 20
y = x^2 + 9x + 20
Factor out the coefficient of x^2 from the x^2 and x terms:
y = 1(x^2 + 9x) + 20
To complete the square, take half of the coefficient of x (which is 9) and square it. Add and subtract this value inside the parentheses:
y = 1(x^2 + 9x + (9/2)^2 - (9/2)^2) + 20
Factor the perfect square trinomial inside the parentheses:
y = 1((x + 9/2)^2 - (9/2)^2) + 20
Simplify the expression:
y = (x + 9/2)^2 - 81/4 + 20
Combine the constants:
y = (x + 9/2)^2 - 41/4
So, the quadratic function y = (x + 5)(x + 4) in vertex form is y = (x + 9/2)^2 - 41/4, and the vertex of the parabola is (-9/2, -41/4).
To learn more about quadratic function
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Carol has $30 to spend on gasoline for her car. After buying 8 gallons,she has $4 left. How much did each gallon of gasoline cost?
Answer:
$3.25 per gallon
Step-by-step explanation:
She had $30 and now has $4, so she spent $30- $4 = $26
With $24 she bought 8 gallons of gas.
$26/(8 gallons) = $3.25/(1 gallon) [ divide 26 by 8 to get the unit rate]
She spent $3.25 per gallon
The answer is 3.25 per gallon. I hope this helps!
Need anyone’s help with this APEX question! Much appreciated!
The correct option is (D) x-7 + 2
Step-by-step explanation:let the quantity be x
Quantity minus 7 can be written as
x-7
Now
2 more means adding 2
So the final expression can be written as
(x-7) + 2
Answer:
The correct answer option is D. (x - 7) + 2.
Step-by-step explanation:
We are to determine whether which of the given options best describe the English expression:
'two more than the quantity of a number minus seven'
We can break this expression into smaller chunks to make it easier to translate.
1. two more than ---> +2
2. the quantity of a number ---> suppose the number to be 'x'
3. number minus 7 ---> (x - 7)
Combining these, we get (x - 7) + 2 so the correct answer option is D.
Katelyn bought 3 packages of ground beef. The packages weighed 2.65 lb, 1.85 lb, and 2.46 lb. She divided the ground beef into 4 packages, each the same weight. How many pounds of around beef were in each package?
Answer:
1.74 pounds
Step-by-step explanation:
2.65 + 1.85 + 2.46 = 6.96/4 = 1.74lbs.
Answer:
1.74 lb/package
Step-by-step explanation:
Add up the weights of the 3 packages of ground beef and then divide that sum by 4 (packages):
2.65 lb + 1.85 lb + 2.46 lb 6.96 lb
-------------------------------------- = ------------------------ = 1.74 lb/package
4 packages 4 packages
how do i find the area of this shape and you tell me step by step it says find the area of the shaded region
First, you need to find out the are of the whole rectangle, which as you probably know, you just need to multiply base by height.
Then, you need to substract the are of the two little squares, which luckily are both the same size. To find out the are of a square you multiply a side twice.
Therefore,
Whole rectangle area:
(32+8) * (8+8) = 40 * 16 = 640 sq. ft.
Two small squares:
2 * (8 * 8) = 2 * 64 = 128 sq. ft.
We substract:
640 - 128 = 512 sq. ft.
Answer:
512
Step-by-step explanation:
i fond the area of the whole big rectangle , so to do this i did 32+8 because i needed to find length. then i found the width, which was 8+8, 16. to find area , i need to multiply with times height so i did 40 x 16. this gets me to 640, but now i need to take out the two smaller cubes since i included them when i found the are of the rectangle. since the sides of both squares are 8 by 8, we can do 8 x 8 x 2 to find the area of both of them. now we taake 128(the product of 8 x 8 x 2) and subtract it from the big rectangle with the area of 640. 640-128 is 512.
Solve for z:
-4.75 = z/2
z = ?
Answer:
-9.5
Step-by-step explanation:
To solve for z, use inverse operations by multiplying both sides by 2.
-4.75 = z/2
-9.5 = z
To solve the equation -4.75 = z/2, multiply both sides by 2 to isolate z, which gives you the solution z = -9.5.
To solve for z in the equation -4.75 = z/2, you need to isolate z on one side of the equation. This can be achieved by multiplying both sides of the equation by 2 (the reciprocal of 1/2, which is the current coefficient of z) to cancel out the division.
Here's the calculation step by step:
Multiply both sides by 2 to get: 2 × -4.75 = (z/2) × 2.Simplify the equation to get: -9.5 = z.Therefore, the solution to the equation is z = -9.5.
round 25.823 to the nearest hundreth
Answer:
25.82 please mark brainliest.
Step-by-step explanation:
Answer:
25.82
Step-by-step explanation:
Hundreths go two decimals to the left from the point. 25.823 is rounded to 25.820 or 25.82
A new vigo the vampire hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 pages. Who reads faster, skyler or Ramon
Answer: Ramon
Step-by-step explanation:
because if you think about it ust of tooken 4 fo skyler to at least read 100 pages.
Ramon was faster.
What is unit rate?A unit rate means a rate for one of something.
Given that, A hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours.
To find who is faster, we will find unit rate of each,
Skyler read 145 pages in 5 hours,
Therefore,
In 1 hour, he will read = 145 / 5 = 29
Therefore, in 1 hour he read 29 pages.
Ramon read 124 pages in 4 hours,
In 1 hour, he will read = 124 / 4 = 31
Therefore, in 1 hour he read 31 pages.
Since, Skyler read less pages than Ramon in one hour.
Hence, Ramon was faster.
Learn more about unit rate, click;
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-5x(4x+6)=21 whats the answer
First we must simplify the left side.
-20x² - 30x = 21
We need to move 21 to the left side of the problem, to do that we need to subtract both sides:
-20² - 30x - 21 = 0
Factor -1 out of -20x² - 30x - 21.
So then we have:
- (20x² + 30x + 21) = 0
Our set is: 20x² + 30x + 21 equal to 0 now we must solve for x.
To do that we need to divide.
x = -15 = √195
-----------------------
20
Solve the inequality. 1/4c < 8
Answer:
c < 32
Step-by-step explanation:
1 / 4 c < 8
0.25 c < 8
8 / 0.25 = 32
c < 32
Answer:
[tex]c \:<\:32[/tex]
Step-by-step explanation:
The given inequality is
[tex]\frac{1}{4}c \:<\:8[/tex]
Multiply both sides of the inequality by the reciprocal of [tex]\frac{1}{4}[/tex] which is equal to 4.
This will give us;
[tex]4\times \frac{1}{4}c \:<\:8\times 4[/tex]
Simplify to obtain;
[tex]c \:<\:32[/tex]
A swimming is conducting a vote to choose a mascot there are 164 club members who want a dolphin for their mascot these members represent 82% of the total number of club members how many club members are there?
For 20 POINTS
Answer:200 club members
Step-by-step explanation:
Final answer:
To find the total club members when 164 members represent 82%, divide 164 by 0.82 to get 200 members in total.
Explanation:
To determine the total number of club members based on the percentage that prefers a dolphin mascot, we can set up a proportion. The problem tells us that 164 members represent 82% of the total number of club members. Using this information, we can set up the equation:
164 = 0.82 × Total club members
To find the total number of club members, we divide the number of members who want a dolphin by the percentage they represent as a decimal:
Total club members = 164 ÷ 0.82
By performing the division, we get:
Total club members = 200
Therefore, the total number of club members is 200.
Plz help!!!!!!!!!!!!!!
Answer: d) 4
Step-by-step explanation:
The x-intercept is when y = 0
[tex]y=\dfrac{x-4}{x^2-4}\\\\\\\text{Set y equal to zero:}\\0=\dfrac{x-4}{x^2-4}\\\\\\\text{Cross multiply:}\\0=x-4\\\\\\\text{Solve for x:}\\4=x[/tex]
Marie is making a recipe that calls for 1 1/4 cups of oil. How many fluid ounces of oil should she use?
A. 5 fl oz
B. 20 fl oz
C. 9 fl oz
D. 10 fl oz
Answer:
D
Step-by-step explanation:
1 cup = 8 fluid ounces.
1.25 cups = 8 fluid ounces + 1/4 of 8.
1/4 of 8 = 2
8 + 2 = 10.
10 fluid ounces should be used.
Answer:
d
Step-by-step explanation:
i had the question
if cos^2(6x)-sin^2(6x)=cos(B)
then B=?
Answer:
[tex]B=12x[/tex]
Step-by-step explanation:
Given: [tex]cos^2(6x)-sin^2(6x)=cos(B)[/tex]
Let's simplify the left part of the equation:
[tex]cos(12x)=cos(B)[/tex]
Solve for B:
[tex]B=12x[/tex]
Final answer:
To find the value of B for the given equation, we employ the cosine double angle identity, which leads us to determine that B equals 12x or 12x ± 2kπ, considering the periodic nature of the cosine function.
Explanation:
The question asks us to find the value of B given that cos2(6x) - sin2(6x) = cos(B). This expression can be rewritten using a trigonometric identity, the cosine difference identity, which states that cos(A) - cos(B) = -2sin((A+B)/2)sin((A-B)/2). However, in our case, we use the cosine double angle identity, which states that cos(2θ) = cos2(θ) - sin2(θ). Applying this identity to the given expression gives us cos(12x) = cos(B). Therefore, B = 12x or B = 12x ± 2kπ, where k is an integer, because the cosine function is periodic with a period of 2π.
This cylinder is cut by the plane shown. The plane is perpendicular to the base of the cylinder. What is the shape of the cross-section? A) circle. B) parallelogram. C) rectangle. D) square.
Answer:
it is c because i learned it in 9th
Step-by-step explanation:
Answer:
it is a a
Step-by-step explanation:
HELP ASAP 30 POINTS AND BRAINLIEST!!!!
The scatter plot shows the relationship between the test scores of a group of students and the number of hours they exercise in a week:
Part A: What is the group of points labeled P called? What is the point labeled T called? Give a possible reason for the presence of point T. (5 points)
Part B: Describe the association between students' test scores and the number of hours they exercise. (5 points)
PLEASE SHOW HOW YOU GOT YOUR ANSWER STEP BY STEP!!
Answer:
Part. B Is The associtation is the more they exercise the higher their test scores.
Hope that helps! I'll answer A. too
Step-by-step explanation:
➷ The group of points labelled P are called a cluster. Point T is called an outlier. The reason for the outlier could be that this person is not good at tests.
B) The more hours of exercise performed, the higher the test scores achieved.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
What Is The Missing Angle Measure of This Irregular Quadrilateral
Answer:
the sum of the angles in a quadrilateral is 360 degrees
Step-by-step explanation:
360 - (60 + 150 + 70) = 360 - 280 = 80 degrees
at a school carnival Jasmine paid $5 for admission and $1.25 per ride rain algebraic expression to represent the total amount Jasmine spent in dollars if she went on T rides
Answer:
1.25T+ 5 + TA ( Total Amount)
Step-by-step explanation: