Step-by-step explanation:
is the same as
[tex]x^5 + 3^5\\x^5 + 243[/tex]
Does that make sense
please mark brainest
Given expression :
[tex]{\qquad \sf \dashrightarrow{ (x+3)^{5} } }[/tex]
We need to simplify it.
We can write the expression as,
[tex]{\qquad \sf \dashrightarrow{ (x+3)^{} }{ (x+3)^{} }{ (x+3)^{} }{ (x+3)^{} }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ (x+3)^{2} }{ (x+3)^{2} }{ (x+3)^{} }}[/tex]
We know that,
[tex]{\qquad \sf \dashrightarrow{ (a+b)^{2} } = {a}^{2} + 2ab + {b}^{2} }[/tex]
Now, using the formula in the expression:
[tex]{\qquad \sf \dashrightarrow{ (x {}^{2} + 2x.3 +3^{2}) }{ (x {}^{2} + 2x.3 +3^{2}) }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ (x {}^{2} + 6x +9) }{ (x {}^{2} + 6x +9) }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ ( {x}^{4} + 6 {x}^{3} + 9 {x }^{2} + 6x {}^{3} + 36 {x}^{2} + 54x + 9 {x}^{2} + 54x + 81 ) }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ ( {x}^{4} + 12{x}^{3} + 54 {x }^{2} + 108x + 81 ) }{ (x+3)^{} }}[/tex]
[tex]{\qquad \sf \dashrightarrow{ \: {x}^{5} + 12 {x}^{4} + 54 {x}^{3} + 108 {x}^{2} + 81x + 3 {x}^{4} + 36x {}^{3} + 162 {x}^{2} + 324x + 243 }}[/tex]
Adding the like terms we get :
[tex]{\qquad \sf \dashrightarrow{ \: {x}^{5} + 15 {x}^{4} + 90 {x}^{3} + 270 {x}^{2} + 405x + 243 }}[/tex]
find the slope of a line that passes through the points (-2,-6) and (3,-10)
The correct answer is -4/5 using the slope formula.
PLEASE HELP BRAINLIEST
the table below shows the salary that ellen earned at her job based on her years of experience.
Which explicit formula can be used to determine the salary, f(n), that Ellen earned with n years of experience?
A: f(n)=4,350n+31,900
B: f(n)=4,350n+14,500
C: f(n)=725n+31,900
D: f(n)=725n+29,009
Answer:
Step-by-step explanation:
Find the difference between year 4 and year 5 salary.
32,625 - 31,900 = 725 (rate of change)
Multiply 4 x 725 then subtract that number from 31,900 to find out base salary
4x 724 = 2900
31,900 - 2,900 = 29,000
That's the constant.
So,
f(n) = 725n + 29,000
A comparison of the measures of central angles and inscribed angles of circles to their intercepted arcs are listed in the tables below. Based on the data in the tables, which conjecture about inscribed and central angles is true?.
A central angle means an angle that is at the center of a circle and whose legs are intersecting the circle.
What is a central angle?Your information is incomplete as the data is not given. Therefore, an overview will be given.
Central angles are shaped by an arc between the two points. When a central angle and the inscribed angle intercept the same arc, then the central angle would be the double of the inscribed angles while the inscribed angle will be half of the central angle.
Learn more about central angle on:
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Which number is irrational?
√121
√25
√3
√16
Will mark brainliest if you explain
Answer:
hope this helps
16 is rational 3 is irrational 25 is rational and 121 is irrational
Step-by-step explanation:
Whats the value of 8
Answer:
value of a is 14
Step-by-step explanation:
Tina's family buys 4 cheeseburgers and 3 orders of fries for $7. 25. Louise's family buys 6 cheeseburgers and 3
orders of tries for $9. 75. What is the total cost of 1 cheeseburger and 1 order of fries?
Answer:
$2
Step-by-step explanation:
A burger is $1.25 and fries are .75c
SOMEONE HELP PLEASE AWNSER HONESTLY!!!
Answer:
C. -2n+3/n-4
Step-by-step explanation:
(n^2+10n+21)/(n^2+3n-28)-(3n/n-4)
(n^2+7n+3n+21)/(n^2+7n-4n-28)-(3n/(n-4)
(n(n+7)+3(n+7))/(n(n+7)-4(n+7))-(3n/n-4)
((n+7)(n+3)/(n+7)(n-4))-(3n/n-4)
(n+3/n-4)-(3n/n-4)
n+3-3n/n-4
-2n+3/n-4
i need some help here, 20 points
Answer:
0+9=9 is identity property
(2+8)+3=2+(8+3) is associative
8+6=6+8 is commutative property
Step-by-step explanation:
In 7 years' time the combined age of my sister and her three
children will be 92. What will it be in 4 years' time?
Answer:
not sure maybe 112 or 115 ???
Step-by-step explanation:
im not that sure sorry
why does a sample need to be representative of a population
Answer:
your sample in statistics has to represent or be pulled from the population you are interested in. If your population was all the drivers on highway 10 it wouldn't make sense to draw a sample from the local grocery store. The sample has to be pulled from the population
Step-by-step explanation:
i stuck on this answer help
Answer:
Step-by-step explanation:
The sides of a triangle measure 31 inches, 22 inches, and 17 inches. What is the area of the triangle? Round intermediate results to 3 decimal places and the final answer to 1 decimal place. The area of the triangle is?
Answer: 181 square inches
Step-by-step explanation:
please help ill give brainliest
Answer:
[tex]\sf A . \sf \frac{3}{-7}[/tex]
[tex]\sf E. \sf -( \frac{-3}{-7} )[/tex]
This above options makes the expression true.
The negatives above can be distributed up as well, which happened in A.In E, when the negatives inside the bracket cancels out, the negative outside the brackets multiplies and makes the expression true.In B the expression turns positive, thus false same happens with C and DEvery 15 minutes, Darla hiked one mile. How long will it take Darla to hike 6 miles?
Answer:
90 minutes or 1 1/2 hours
Step-by-step explanation:
One mile = 15 minutes
6 x 1 miles = 15 x 6 minutes
6 miles = 90 minutes or 1 1/2 hours
Simplify the expression below. 12x+4−7x
Answer:
5x+4
Step-by-step explanation:
Combine like terms: 12x+4-7x
Notice that the 7 is being subtracted, as it's negative
12x+4−7x
5x + 4
answer is 5x + 4
What is the length of DE?
Answer:
C•9
could be the answer of your question?
20 POINTS!! What would be the first step to solve this equation?
m - 13 = 24
A. Subtract 13 from both sides
B. Add 24 to both sides
C. Add 13 to both sides
D. Divide by 13 on both sides
Answer:
C. Add 13 to both sides of the equation.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, m. Add 13 to both sides of the equation:
m - 13 = 24
m - 13 (+13) = 24 (+13)
m = 24 + 13
m = 37
~
Question in the picture:
Answer:
54 lbs. of meat
Step-by-step explanation:
7x6=42
4x3=12
42+12=54
Find the distance across the lake. Assume the triangles are similar.
A. 190 m
B. 235 m
C. 210 m
D. 490 m
Answer:
210
Step-by-step explanation:
20 * 3 = 60
since the trianlges are similar we know that
70 * 30 =210
thanks to whoever answers lol
Answer:
20.5
25.5
hope this helps
Blossom corporation recently reported an EBITDA of $29. 3 million and net income of $9. 7 million. The company had $6. 9 million interest expense, and it's average corporate income tax rate is 35 percent. What is it's deprecriation and amortorization expense?
Mr jones has a square that measures 10 feet on each side. He decides to expand the garden by expanding each day by x. Find the expression in standard form thay represents the area of the new expanded garden.
the expression in standard form that represents the area of the new expanded garden is_______.
Formula: [tex]A=lw[/tex] where l is the length and w is the width
Whenever we modify any of the side lengths, as in make them longer or shorter, we simply add or subtract from l or w.
Standard FormWhen a quadratic equation is organized in standard form, it follows the following format:
[tex]y=ax^2+bx+c[/tex] where a, b and c are numbers
In standard form, all the terms have been simplified and there are no parentheses to expand.
Solving the QuestionWe're given:
Square garden has measurements of 10 ft by 10 ftWe're expanding each side by xWe must find the area of the garden in standard formIf we're expanding each side by x, we're simply adding x to each side length:
10 ft by 10 ft ⇒ (x + 10) ft by (x + 10) ft
Now to find the area, we can use the area formula:
[tex]A=(x+10)(x+10)[/tex]
This expression can be simplified as l = w:
[tex]A=(x+10)^2[/tex]
Putting it into standard form:
We can do this by expanding the parentheses:
[tex]A=(x+10)^2[/tex]
⇒ Because this is a perfect square, we can use the following rule to help us expand this equation:
[tex](a+b)^2=a^2+2ab+b^2[/tex][tex]A=x^2+20x+100[/tex]
AnswerTherefore, the expression in standard form that represents the area of the new expanded garden is [tex]x^2+20x+100[/tex].
A cube has edge length 3 inches. What is the surface area of the cube?
Answer:
54 inch²
Step-by-step explanation:
the cube has six surface. so we calculate the area of a surface and then multiple in six.
area of a surface: 3×3 = 9 inch²
area of the cube: 6×9 inch² = 54 inch²
NEED HELP ASAP!!! PLEASE!!!
1.) Daniel stands on one side of a stream that is 400 feet wide. He wants to reach his campsite that is 1600 feet downstream on the opposite side. He decides he will swim to the boat ramp on the opposite side, which is part way downstream toward the campsite, then jog the rest of the way. The angle formed by Daniel’s swim path and the shore at the boat ramp is.
Draw a labeled diagram of the scenario.
Answer: ?
2.) Daniel can swim at an average rate of 150 feet per minute. How many minutes does it take him to swim to the boat ramp? Round your answer to the nearest hundredth.
Answer: ?
3.) How far is the boat ramp from the campsite? Round your answer to the nearest hundredth.
Answer: ?
4.) Daniel can jog at 4 miles per hour. How many minutes does it take him to jog from the boat ramp to the campsite? Round your answer to the nearest hundredth.
Answer: ?
5.) Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat ramp that is only 200 feet from the campsite and then jogged. She claims that he would have arrived quicker this way.
Is Daniel’s sister correct? Support your answer mathematically.
Answer: ?
(Please please do not answer if you aren't 100% sure of the answer!!)
From Daniel's initial location from the campsite given the width of the
stream is 400 feet and Daniel swims to the boat ramp, we have;
1.) Please find attached the drawing of the situation
2.) 3.34 minutes
3.) 1,298.59 feet
4.) 3.69 minutes
How can the distances and times be calculated?1.) Please find attached a labelled diagram of the scenario created with MS Visio
2.) Daniel's average swimming rate (speed) = 150 feet per minute
[tex]The \ distance \ Daniel \ swims = \mathbf{\dfrac{400 \, feet}{sin(53^{\circ})}} \approx 500.85 \, feet[/tex]
The time it takes him to swim to the boat ramp, t, is therefore;
[tex]t \approx \dfrac{500.85 \ feet}{150 \ feet/min} \approx \underline{3.34 \ minutes}[/tex]3.) The distance, d₁, downstream of the boat ramp from Daniel is given as follows;
d₁ = √((500.85 feet)² - (400 feet)²) ≈ 301.41 feet
Therefore;
The distance from the boat ramp to the campsite, d₂, is therefore;
d₂ ≈ 1600 feet - 301.41 feet = 1,298.59 feet
The distance from the boat ramp to the campsite, d₂ ≈ 1,298.59 feet
4. The time, t₂, it will take Daniel to jog from the boat ramp to the campsite is given as follows;
[tex]t_2 = \mathbf{\dfrac{d_2}{v_2}}[/tex]
Where;
v₂ = The rate at which Daniel can jog, which is 4 mph
Which gives;
[tex]t_2 = \mathbf{\dfrac{1298.59 \, feet}{4 \, mph}} = \dfrac{1298.59 \, feet}{4 \, mph} \approx \dfrac{1298.59 \, feet}{5.866142 \ feet/s} \approx \dfrac{221.37 \, s}{60 \, s/min} \approx 3.69 \, min[/tex]
Therefore;
The time it takes him to jog from the boat camp to the campsite, t₂ ≈ 3.69 minutesLearn more about Pythagorean theorem here:
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What would the measurement be of an edge of a square poster that has a area of 625square ft?
Answer:
25
Step-by-step explanation:
Area is found by doing two length x width. Because ethics is a square all side lengths are equal. Therefore I did the square root of 625 in order to determine what 2 numbers (length and width) would be multiplied by each other to get 625. Hope this helps
A Baker bakes 360 cookies he packs equally in 4 boxes how many cookies are in each box
Answer:
90 cookies in each box
Step-by-step explanation:
360 : 4 = 90
Suppose you are saving money to buy a digital video camera that costs $340. You have already saved $120 and plan to save $20 each week. How many weeks will you need to save?
Answer:
11 weeks
Step-by-step explanation:
340 - 120 = 220
220/20=11
If LMN = XYZ, which congruences are true by CPTC? check all that apply.
Answer:
ML Congruent YX
Step-by-step explanation:
You have chosen the correct answers
but , also ML Congruent YX
15. If two complementary angles measures (2x+10°and (x + 20°. Find the value of x? A. 500 B. 40° C.300 D. 20°
Answer: D
Step-by-step explanation:
3.14 + 3.14 × 3.14 + 3.14 ÷ 3.14 anwers it if want to
Answer:
3.14 + 3.14 × 3.14 + 3.14 ÷ 3.14 is equal to 13.9996
Step-by-step explanation: