Answer:
8r + 9p
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variables as well as the same amount of said variable.
In this case, combine 12p with -3p
8r + 12p - 3p
8r + (12p - 3p)
8r + 9p
8r + 9p is your answer.
~
While adding such algebraic expressions, we combine the like terms which contains the same variables infact same degree of variables.
Given expression:
8r + 12p - 3pHere 12p and 3p are like terms because they are having same variable that is p. So, we can compute any operation like hear it's subtraction.
➝ 8r + (12p - 3p)
➝ 8r + 9p
Now no more like terms are there, So the final answer is 8r + 9p. And we are done!
Carry On Learning [tex]![/tex]
Find the value of x. enter value only
Answer:
9
Step-by-step explanation:
The product of the secant lengths BC and BD is equal to the square of the tangent length BA.
BC×BD = BA²
3×(3 +x) = 6²
3 +x = 12 . . . . . divide by 3
x = 9 . . . . . . subtract 3
_____
Additional comment
Sometimes the relationships involving secants, tangents, and chords can be difficult to remember. There is basically one rule that applies to all of these geometries:
the product of segment lengths to the circle from the point of intersection of the secants/tangents/chords is the same
A tangent can be thought of as a secant that has a length of 0 between its end points. That is, the two lengths from the point of intersection to the circle are the same.
Here is an example of this rule applied to chords:
https://brainly.com/question/27160911
Leslie sold 2 1/2 dozen sweet rolls
what unit of measurement would you use to weigh a elephant Oz * mm lb
Answer:
You would use lbs.
Step-by-step explanation:
mm is a unit of distance.
Oz is too small of a unit for weight.
lbs are just right!
Rational function
g(x) = 1 / (x-3) +2
Find x and y intercepts
Graph
Answer:
[tex]x \: intercept = ( \frac{5}{2} ,0) \\ y \: intercept = (0, \frac{5}{3} )[/tex]
Step-by-step explanation:
STEP 1: Define x and y intercepts
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
Step 2: We plot the graph of the given function
The graph can be seen in the graph image I sent. The x and y intercepts are also identified.
The verbal expression “the difference between
three times a number x and 12, increased by the quotient of 5 and the number x" is equivalent to which algebraic expression?
A. 3(x-1)+x/5
B. (3x-12)+5/x
C. 3(x-12)+5+x
D. (3x-12)+5x+x
Answer:
B. (3x-12)+5/x
Step-by-step explanation:
Difference means - or minus
Three times a number x and 12= 3x-12
Increased= + or plus
quotient= / or divide
5 and the number x= 5/x
So the answer is,
(3x-12)+5/x
I hope you understand.
Will Mark Brainliest!!!
A diver is standing on a platform 24 ft above a pool. He jumps from the platform with an initial
upward velocity of 8 ft/s. Using the formula, h(t) = -16t2 + vt + s, where h is his height
above the water, t is the time, v is his starting upward velocity, and s is his starting height.
A) After how long will the diver reach its maximum height?
B) What is the maximum height the diver will reach?
Answer:
he Formula h = -16t^2 + vt + s; where
h = height after t seconds
t = time in seconds
v = upward velocity
s = initial height (t=0)
also note that
-16t^2 represents the downward force of gravity for t seconds
+vt = the upward force for t seconds
:
the height when he hits the water = 0 therefore:
0 = -16t^2 + 8t + 24
usually written
-16t^2 + 8t + 24 = 0
we can simplify this, divide by -8, then we have
2t^2 - t - 3 = 0
this will factor to
(2t - 3)(t + 1) = 0
the positive solution
2t = 3
t = 3/2
t = 1.5 seconds to hit the water
-
Form the actual equation
y=-16t²+vt+sy=-16t²+8t+24Find vertex as vertex is maximum
x coordinate
-b/2a-8/2(-16)8/321/4s0.25sy coordinate
h(0.25)-16(0.25)²+8(0.25)+2425mMax height is 25m
Time to reach is 0.25s
Help please need the answers now
Answer:
j(x) matches #3
g(x) matches #2
f(x) matches #4
h(x) matches #1
The back of Alisha's property is a creek. Alisha would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 380 feet of fencing available, what is the maximum possible area of the pasture?
9514 1404 393
Answer:
18050 square feet
Step-by-step explanation:
Let x represent the length of fence parallel to the creek. Then the remaining 380-x feet of fence is divided between the two ends of the pasture. The area will be the product ...
A = (x)(1/2)(380 -x)
The graph of this is a parabola that opens downward. It has x-intercepts at x=0 and x=380. The vertex (maximum) will be on the line of symmetry, halfway between these zeros, at x = (0 +380)/2 = 190.
Then the area is ...
A = (190 ft)(1/2)(380 -190 ft) = (190 ft²)/2 = 18,050 ft²
The maximum possible area of the pasture is 18,050 square feet.
An iPad is marked down from $700 to $575. What is the percent markdown of the iPad?
Solution:
the percent markdown of the iPad is 17.86%
Given:
Original Price = $700
Final price = $575
The markdown is gotten by;
[tex]Markdown=original~price-final~price[/tex]
[tex]Markdown=700-575[/tex]
Markdown = $125
Thus, the percent markdown is gotten by;
[tex]percent~markdown=\frac{markdown}{original~price}~x~ 100[/tex]
percent markdown = [tex]\frac{125}{700}[/tex] × 100%
percent markdown =[tex]\frac{12500}{700}[/tex]
percent markdown = 17.857 %
percent markdown ≈ 17.86%
Therefore, the percent markdown of the iPad is 17.86%
Hope this helps!!
If you have any questions please ask.
How many ounces of a 18% alcohol solution and a 26% alcohol solution must be combined to obtain 34 ounces of a 22% solution?
Answer: 54 or 100 lol oozy
Step-by-step explanation: Nothing that's just the answer
Answer:
18% alcohol 17 ounces, 26% alcohol 17 ounces
Step-by-step explanation:
set some equation
18%x + 26%y = 34x22%
34= x + y
The price of a cd was decreased by 2% to £14. What was the price before the decrease?
Give your answer to the nearest penny.
Answer:
14.28
Step-by-step explanation:
2% of 14 is .28
.28 + 14 = 14.28
Hi!
Since the price was decreased by 2%, that means that 14 is 98% (100% - 2%) of the original price. So, we just have to figure out 98% of what number is 14.
98% can be written in decimal form as 0.98.
We can set up the following equation:
14 = 0.98x
Now, divide both sides by 0.98:
14/0.98 = 14.2857143
The question says to round to the nearest penny, so your answer is
14.29Which is a parallelogram? For points A B C D
Explanation:
Any parallelogram has two pairs of opposite sides that are parallel.
A rectangle is a parallelogram, but not the other way around.
Choices A and B are trapezoids with exactly one pair of parallel sides.
PLZZZZZ HELP ME ILL MAKE YOU BRAINLIEST ANSWER PLZZZZZZ THANKYOUUU!!!!!!
Answer:
It would be neither.
Step-by-step explanation:
It definitely is not parallel since Line 1 would run into Line 2 at (4, 1). Nor could it be perpendicular because they do run into each other but do not make a 90 degree angle.
root of 6x^2 -8 = -8x
Answer:
If your question is set up like this [tex]\sqrt{6x^2-8}=-8x[/tex] then your answer is No solution.
If your question is set up like this[tex]\sqrt{6x^2}-8=-8x[/tex] then your answer is [tex]x=\frac{4(8-\sqrt{6}) }{29}[/tex] or x = 0.765
Hope this helps!
[tex] \rm\int_{0}^{ \frac{\pi}{2} } \cot(x) \ln(\sec(x)) \\ [/tex]
Substitute y = tan(x) and dy = sec²(x) dx to transform the integral to
[tex]\displaystyle \int_0^{\frac\pi2} \cot(x) \ln(\sec(x)) \, dx = \frac12 \int_0^\infty \frac{\ln(1+y^2)}{y(1+y^2)} \, dy[/tex]
and we split the integral at y = 1.
Examining the one over [0, 1], expand into partial fractions :
[tex]\dfrac1{y(1+y^2)} = \dfrac1y - \dfrac y{1+y^2}[/tex]
Then
[tex]\displaystyle \int_0^1 \frac{\ln(1+y^2)}{y(1+y^2)} \, dy = \int_0^1 \frac{\ln(1+y^2)}y \, dy - \int_0^1 \frac{y \ln(1+y^2)}{1 + y^2} \, dy[/tex]
In the integral over [1, ∞), substitute y = 1/z :
[tex]\displaystyle \int_1^\infty \frac{\ln(1+y^2)}{y(1+y^2)} \, dy = \int_0^1 \frac{z \ln\left(1+\frac1{z^2}\right)}{1+z^2} \, dz \\\\ = \int_0^1 \frac{z \ln\left(1+z^2\right)}{1+z^2} \, dz - 2 \int_0^1 \frac{z \ln(z)}{1+z^2} \, dz[/tex]
Some terms cancel and we're left with
[tex]\displaystyle \int_0^\infty \frac{\ln(1+y^2)}{y(1+y^2)} \, dy = \frac12 \int_0^1 \frac{\ln(1+y^2)}y \, dy - \int_0^1 \frac{y \ln(y)}{1+y^2} \, dy[/tex]
Use the series expansions of ln(1 + y) and 1/(1 - y) - both are valid for |y| < 1.
[tex]\displaystyle \int_0^1 \frac{\ln(1+y^2)}y \, dy = - \sum_{n=1}^\infty \frac{(-1)^n}n \int_0^1 y^{2n-1} \, dy = -\frac12 \sum_{n=1}^\infty \frac{(-1)^n}{n^2} = \frac{\pi^2}{24}[/tex]
[tex]\displaystyle \int_0^1 \frac{y \ln(y)}{1+y^2} \, dy = \sum_{n=0}^\infty (-1)^n \int_0^1 y^{2n+1} \ln(y) \, dy = -\frac14 \sum_{n=0}^\infty \frac{(-1)^n}{(n+1)^2} = -\frac{\pi^2}{48}[/tex]
Putting everything together, we have
[tex]\displaystyle \int_0^{\frac\pi2} \cot(x) \ln(\sec(x)) \, dx = \frac12\times\frac{\pi^2}{24} - \left(- \frac{\pi^2}{48}\right) = \boxed{\frac{\pi^2}{24}}[/tex]
what is 3/4X + 2 = 3/8X
Answer:
exact form: -16/3
decimal form: -5.3
mixed number form: -5 1/3
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
3/4X + 2 = 3/8X
3/4X - 3/8X = - 2
(3/4 - 3/8)X = -2
((6-3)/8)X =-2
3/8X = -2
3X = (-2)(8)
3X = -16
X = -16/3
Net A has 3 rectangles with 2 triangles on the side. Net B has 3 rectangles with 2 triangles on the sides.
Students in Mrs. Garcia’s class were practicing drawing nets. She gave them the three-dimensional figure shown. Alina drew the net labeled A and Benjamin drew the net labeled B. What statement about the students’ nets is true?
Alina drew the only correct net.
Benjamin drew the only correct net.
Both nets are correct.
Neither student’s net is correct.
Answer:
c
Step-by-step explanation:
Answer:
~c~
Step-by-step explanation:
How did I get this wrong????
Answer:
18.98°
Step-by-step explanation:
1) p=arcsin(13/40);
2) p=arcsin0.325≈18.98°.
(Multiple choice question) suppose you take out a $7,200 personal unsecured loan at 12.75% APR and you are going to pay it back over 9 years. What is the total amount that you will pay back over the life of the loan
A. 7,200.00
b. 12,13.00
C. 11,807.00
Answer:
B
Step-by-step explanation:
I think its b but its 12,130 not 12,13 lol
A line is drawn parallel to y = x. It has the same slope, so it’s equation has the form y = x + b. The new line passed through the point (2, 5). What is its y- intercept (b)?
Answer:
b = 3
Step-by-step explanation:
(2,5) is information! x = 2 and y = 5.
Use these values in the equation:
y = x + b
5 = 2 + b
Subtract 2.
3 = b
The equation of the line is y = x + 3.
i’ll mark brainlest to whoever answers this question first! :)
You need to go to the library, grocery store,
and pharmacy. In how many orders can you
visit these places?
A 3
A 6
C 9
D 12
Emma's family traveled 5/8 of the distance to her aunt’s house on Saturday. They traveled 1/3 of the remaining distance on Sunday. What fraction of the total distance to her aunt’s house was traveled on Sunday?
Answer:
23/24
Step-by-step explanation:
To find the total distance of Sunday and Saturday we add 5/8 + 1/3
= 5/8 + 1/3
= 5 × 3/8 × 3 + 1 × 8/3 × 8
= 15/24 + 8/24
= 15 + 8/ 24
= 23/24
HELP PLEASE!!!!!! + 100 POINTS
Solution:
Given:
x = 10Substitute the value of x into the expression.
[tex]5\sqrt{x - 1} + 9[/tex]
[tex]\rightarrow 5\sqrt{10 - 1} + 9[/tex]
Simplify the root:
[tex]\rightarrow5\sqrt{9} + 9[/tex]
[tex]\rightarrow(5 \times \sqrt{9}) + 9[/tex]
[tex]\rightarrow(5 \times 3) + 9[/tex]
Multiply 5 and 3:
[tex]\rightarrow15 + 9[/tex]
Add 15 and 9:
[tex]\rightarrow24[/tex]
100-point Question!!!
Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s(x) = 85. He was told that he could do the laundry for the house and his allowance would be a(x) = 10(x − 1), where x is measured in weeks. Explain to Arthur how he can create a function that combines the two and describe any simplification that can be done.
Answer:
Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.
h(x) = f(x) + g(x)h(x)=f(x)+g(x) h(x) = f(x) - g(x)h(x)=f(x)−g(x)
h(x) = \frac{f(x)}{g(x)}h(x)=
g(x)
f(x)
h(x) = f(g(x))h(x)=f(g(x))
And many more.
The approach or formula to use depends on the question.
In this case, the combined function is:
f(x) = 75+ 10xf(x)=75+10x
The savings function is given as
s(x) = 85s(x)=85
The allowance function is given as:
a(x) = 10(x - 1)a(x)=10(x−1)
The new function that combined his savings and his allowances is calculated as:
f(x) = s(x) + a(x)f(x)=s(x)+a(x)
Substitute values for s(x) and a(x)
f(x) = 85 + 10(x - 1)f(x)=85+10(x−1)
Open bracket
f(x) = 85 + 10x - 10f(x)=85+10x−10
Collect like terms
mark as brainiest
f(x) = 85 - 10+ 10xf(x)=85−10+10x
f(x) = 75+ 10xf(x)=75+10x
A blueprint of a barn is shown.The scale is 5 inches =8 feet. Find the actual length of the wall that is labeled 20 inches.
Which of the following expresses 2.4 as a fraction in simplest form?
D. 2 4/9
[tex]\sf 2\dfrac{1}{4} \rightarrow 2.25[/tex][tex]\sf 2\dfrac{2}{5} \rightarrow 2.4[/tex][tex]\sf 2\dfrac{11}{25} \rightarrow 2.44[/tex][tex]\sf 2\dfrac{4}{9} \rightarrow 2.444444...[/tex]
Note: the symbol on top of 4 - means that the number is recurring/repeating infinitely.
Answer: (D) just did the unit test review on edge
Step-by-step explanation:
100 Points
Use geometry to evaluate the integral from negative 2 to 6 of f of x, dx where f of x equals the absolute value of x for x between negative 2 and 2 inclusive, equals 2 for x greater than 2 and less than or equal to 4, and equals negative x plus 4 for x greater than 4 and less than or equal to 6.
Answer:
[tex]\int\limits^{6}_{-2} {f(x)} \, dx=6[/tex]
Step-by-step explanation:
Review the attached graph
By using geometry to evaluate the given integral, the value is equal to 6 units.
How to use geometry to evaluate an integral?In order to use a geometry to evaluate a definite integral, you should identify the portion of a graph which corresponds to the given integral.
Also, you'll mark out the geometric shapes that are formed on the graph, so as to enable you calculate their areas. Finally, you'll add the areas together.
From the graph of the integral shown in the image attached below, the geometric shapes that are formed are rectangle and triangles.
For the area of rectangle, we have:
Area of rectangle = L × B
Area of rectangle = 2 × 2
Area of rectangle = 4 units.
For the area of triangle, we have:
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × 2 × 2
Area of triangle = 2 units.
Total area = 4 + 2
Total area = 6 units.
Read more on integrals here: https://brainly.com/question/5898524
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John has 12 pounds of dog food and is going to separate it into 3/4 pound portions. How many portions of dog food will he have?
HELP!
16 portions
explanation:
12 / 3/4
= 12 * 4/3
= 4*4 = 16
Pete can do a job in 50 minutes while his brother Jim can do it in 1/2 the time. How long will it take them to do the job working together? (50/3 min)
It will take them 20 minutes to do the job working together.
Working time calculationGiven that Pete can do a job in 50 minutes while his brother Jim can do it in 1/2 the time, to determine how long it will take them to do the job working together, the following calculation must be performed:
1/1 + 2/1 = 3/11 / (3/1) = 1/360 min / 3 = 20 minTherefore, it will take them 20 minutes to do the job working together.
Learn more about working time calculation in https://brainly.com/question/536439