To solve this we need to use this formula:
a(b+c)=ab+ac
5(7+3x)-12=35+15x-12=15x+23
Answer:
Step-by-step explanation:
Multiply the 5 to the 7 and 3x--> 35 + 15x -12. Then add 12 to the -12, making it 0 (inverse operations), and add 12 to the 35 making it 47 + 15x. :) Then you would simply divide the 15 by 15x (making the variable by itself). your answer for x should be 47/15. :> If I helped, please mark brainliest!!
Simplify. Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. y^{-4}\cdot y^{3}=y −4 ⋅y 3 =y, start superscript, minus, 4, end superscript, dot, y, cubed, equals
Answer:
[tex]y^{-4}\cdot y^3=y^{-1}[/tex].
Step-by-step explanation:
The given expression is
[tex]y^{-4}\cdot y^3[/tex]
We have to simplify the above expression. in form of [tex]y^n[/tex].
Using property of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
After addition of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-1}[/tex]
Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].
Which will result in a perfect square trinomial?
Answer:
is there a picture?
Step-by-step explanation:
The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? PLEASE HELP I MIGHT FAIL MATH.
===========================================================
Explanation:
The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.
In this case, we start with 904 grams and follow this sequence:
904, 452, 226, 113, ...
Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.
--------------
If you want to use a formula, then it would be
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]
where,
H = half-life duration (in this case, it is 35)
A = starting amount (which is 904 in this case)
x = amount of time that has elapsed (we will plug in x = 70)
y = final amount after x units of time has elapsed
note that x and H must have the same time unit. Both are in terms of hours in this case.
------------
So we will plug A = 904, x = 70, H = 35 into the formula to get...
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]
We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.
The parabola opens to the right. The focus is given as
F (p,0) and directrix x = -p. The distance between the
focus and point P is equal to the distance between the
directrex and point P. Continue to simplify the equation to
solve for y2. THE ANSWER IS 4px!! :)
Answer:
Step-by-step explanation:
We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by
[tex](y-k)^2 = 4p(x-h)[/tex]
Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that
[tex]y^2 = 4px[/tex]
Answer:
y^2 = 4px
Step-by-step explanation:
edg 2021
Can some help me thank you
PLS HELP !! ILL GIVE BRAINIEST
Answer: first one is a the second one is b
Step-by-step explanation:
the bottom is the total amount and the top should relate to the bottom
What is the solution of the inequality shown
below?
c+2 < -1
Answer: c < -3
Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.
Since 2 is being added to c, subtract
2 from both sides of the inequality.
On the left, the +2 and -2 cancel out
and on the right, -1 - 2 is -3.
So we end up with c < -3.
I have also graphed this for you below.
Can someone pls help
Answer:
a) At what time does Bethan arrive home from school?
The answer would be C) 15:30
b) What distance does Siobhan travel each day when going to school and back?
The answer would be D) 16km
Step-by-step explanation:
Please help, need an answer ASAP
Answer:
I think your answer is correct
find the measure of arc UT Given
a.168
b.192
c.84
d.96
Answer:
is there supossed to be a picture?
Step-by-step explanation:
Answer:
Can you please give us a picture!
Step-by-step explanation:
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The cost for a business trip for 3 people is $1,975 per person. The business trip would use 79%
of the company’s travel budget. Find the total amount of money the company has budgeted for
travel. pls show work :)
Answer:
7500
Step-by-step explanation:
3*1975=5925
5925/.79=$7500
Answer:
5175
Step-by-step explanation:
1975*3=5925
5925/79%=7500 (Take one zero off)
750
5925-750=5175
The Company will pay 5175 in total. But 1725 per each person going.
Is (1, -2) a solution of y> -6x – 3?
Choose 1 answer:
Yes
No
Answer:
Yes
Step-by-step explanation:
(1, -2)
y > -6x – 3
-2 > -6(1) - 3
-2 > -6 - 3
-2 > -9 Yes
order the set numbers from least to greatest
Step-by-step explanation:
the answer is the last option
Use the box method to distribute and simplify (-6x-3)(4x+2).(−6x−3)(4x+2). Drag and drop the terms to the correct locations of the table.
Answer:
576 x 4 + 1152 x 3 + 864 x 2 + 288 x + 36
Step-by-step explanation:
The simplification of the given equation is [tex]-24x^2 -24x -6[/tex]
Given that,
The equation is (-6x-3)(4x+2).The calculation is as follows:[tex]= (-6x - 3) \times (4x + 2)\\\\= -24x^2 -12x - 12x -6\\\\= -24x^2 -24x -6[/tex]
Find out more information about the equation here:
https://brainly.com/question/2263981?referrer=searchResults
I NEED HELP!
Line 9 and 10
To calculate your taxable income, subtract the sum of lines 8 and 9 from line 7.
Which of the following is equivalent to the complex number i8?
Choose 1 answer:
mi
1
-1
pl
Stuck? Watch a video or use a hint.
Report a problem
Answer:
1
Step-by-step explanation:
note that i² = - 1
Thus
[tex]i^{8}[/tex]
= i² × i² × i² × i²
= - 1 × - 1 × - 1 × - 1
= 1 × 1
= 1
The value of complex number is 1. Therefore, the option B is the correct answer.
What is the complex number?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.
The given complex number is i⁸.
We know that, i²=-1
Now, i⁸ can be written as i²×i²×i²×i²
= -1×(-1)×(-1)×(-1)
= 1
Therefore, the option B is the correct answer.
To learn more about the complex numbers visit:
https://brainly.com/question/10251853.
#SPJ2
what is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?
Answer: 31/12, or 2 7/12
Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better
I bought a box from the post office that has a volume of 24 cubic centimeters,
Which of the following could be the dimensions of my box?
A. 8cm long, 1cm wide, 3cm high
B.10cm long, 4cm wide, 10cm high
C. 2cm long, 2cm wide, 6cm high
Answer:
A) Is the answer
Step-by-step explanation:
vol.=LxBxH
8x1x3=24
The dimensions that could be the box with a volume of 24 cubic centimeters are:
8cm long, 1cm wide, 3cm high
2cm long, 2cm wide, 6cm high
Options A and C are the correct answer.
We have,
To determine if the given dimensions could represent the box with a volume of 24 cubic centimeters, calculate the volume for each option and check if it matches the given volume.
Let's calculate the volume for each option:
Option A:
Length = 8 cm, Width = 1 cm, Height = 3 cm
Volume = Length × Width × Height
Volume = 8 cm × 1 cm × 3 cm
Volume = 24 cubic cm
Option A could be the dimensions of the box
Option B:
Length = 10 cm, Width = 4 cm, Height = 10 cm
Volume = Length × Width × Height
Volume = 10 cm × 4 cm × 10 cm
Volume = 400 cubic cm
Option B does not have a volume of 24 cubic cm.
Option C:
Length = 2 cm, Width = 2 cm, Height = 6 cm
Volume = Length × Width × Height
Volume = 2 cm × 2 cm × 6 cm
Volume = 24 cubic cm
Option C could be the dimensions of the box.
Therefore,
The dimensions of the box with a volume of 24 cubic centimeters are:
8cm long, 1cm wide, 3cm high
2cm long, 2cm wide, 6cm high
Learn more about volume of box here:
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Simplify 17 1/2 - (-9 3/8)
ASAP please extra poonts
Answer:
I believe the answer is 26 7/8
Step-by-step explanation:
Answer:
26 7/8
Step-by-step explanation:
17 1/2 - (-9 3/8)
Get a common denominator of 8
17 1/2*4/4 - -9 3/8
17 4/8 - -9 3/8
We know that subtracting a negative is adding
17 4/8 + 9 3/8
Add the whole numbers
17+9 = 26
Add the fractions
4/8+3/8 = 7/8
26 7/8
Is this SAS or Not SAS?
Answer:
SAS
Step-by-step explanation:
hi what is the answer for this
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
area of a circle is pi x r x r
since it is a quarter
1/4 x pi x 8 x 8 = 16 x pi
Answer:
formula = pi× r²× 1/4
Step-by-step explanation:
since radius = 8
3.14×8×8 = 3.14×16
4
therefore the answer is pi × 16
Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?
Answer: Sarkis cannot draw a triangle with these side lengths.
Step-by-step explanation: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the other side.
The two smallest sides are 4 and 10; their sum is 14. This is shorter than the longest side, so these will not make a triangle.
Answer:
a
Step-by-step explanation:
Pythagorean Theorem: Jason only has room for a TV that is less than 30^ prime prime wide.
Find the width of the TV
Answer:
Step-by-step explanation:
length² + width² = diagonal²
24² + width² = 40²
576 + width² = 1600
width² = 1600 - 576
width² = 1024
width = √1024 = √32*32
width = 32"
Width of the TV is more than 30"
Answer:
32
Step-by-step explanation:
First off, Bruh, 30" is not prime prime. That's 30 inches.
The base of the TV is 32. This is because A^2+B^2=C^2. 24 is A, 40 is C, and the base is B.
So that means that is we take 24^2 and the base^2, we should get 40^2. 40^2 is 1600. 24 squared is 576. So if we take the base and square it and add 576, we should get 1600. Or we could just take 1600 and subtract 576.
1600-576=1024.
So now, the root of 1024 is the base. Which is 32. Hope that helped.
WHat is the value of 599 x (400+37) QUICKKKKKK!!
239,637
261,763
432,599
599,437
Answer:
b: 261,763
Step-by-step explanation:
do the parenthesis then mutiply the 2 #s
Option B is correct. The value of 599 x (400+37) is 261,763.
Given the values A, B and C. According to the distributive law:
A(B + C) = AB + AC
Applying the rule to the given question:
599 x (400+37)
= 599(400) + 599(37)
= 239,600 + 22,163
Adding up the result
= 261,763
Hene the value of 599 x (400+37) is 261,763.
Learn more here: https://brainly.com/question/12953263
PLS HELP middle school math
Answer: 2,4 4,8 8,16 and so on ...
Step-by-step explanation:
Max pays his rent for $300 on April 28th.
Max mows a different neighbor's lawn on April 29th and they pay him $15.
Max fills up his tank at a gas station on April 30th for $29.80.
Max buys a snack in the gas station for $4.57 the same day.
How much money does Max have on April 30th after he buys the snack?
Can anyone help with this? First question gets marked brainliest!
Answer:
5 cm
Step-by-step explanation:
Answer:
5 cm
Step by step explanation
What’s the answer??.??”
Answer:
77
Step-by-step explanation:
the formula is base times height. 7 is the height, add 8 + 3 to get 11 so there's only 1 base. multiplying the 7 and 11 to get 77
Please Answer Quick i'm in a rush please ill give brainliest!!!!!!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:
Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.
The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center?
Dan
Joe
Lee
Roy
Answer:
roy is in the same quadrant
Step-by-step explanation:
↙↘⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵
Answer:
roy
Step-by-step explanation:
The change in the x-coordinates of any two points on a line in the xy-plane is
the______
A. rise
B. slope
C. angle
D. run
Answer:
D. run
Step-by-step explanation:
The slope is given by
m = (y2-y1)/ (x2-x1) = rise/ run
The change in the x coordinates is the run
