Answer:
x = 7/2
x = 3.5
x = 3 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The following machine doubles each input, subtracts 3, and then squares the result. (check photo) For example, if we input 5, then double 5 to get 10, subtract 3 to get 7, and finally square 7 to get 49.
-Write the expression that comes out of the machine if the input is 4.
Use ^ to express exponents. For example. 3² = 3^2
-If 121 is the output, what was the input?
Answer:
Step-by-step explanation:
5 tons of fertilizer cost $6,600.00. What is the price per pound?
Answer:
66 Cents per pound
Step-by-step explanation:
1 ton = 2,000 pounds
5 tons = 10,000 pounds
10,000 pounds = $6,600
1 Pound = $0.66
FACTORISATION
i) Factorise:
4a(a-b)+3b(b-a)
4a(a - b) + 3b(b - a)
= 4a² - 4ab + 3b² - 3ab
= 4a² - 4ab - 3ab + 3b²
= 4a² - 7ab + 3b²
= (a - b) (4a - 3b)
________
Hope it helps ⚜
Help me please Research
Answer:
i think the details given for the question is in sufficient or question is wrong
Help please :)) This is timed as well as mind boggling
Answer: Choice C
==========================================================
Explanation:
Recall that the form
[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]
can be abbreviated to
[tex]z = r*\text{cis}(\theta)[/tex]
The "cis" stands for the first letters of "cosine i sine" in that order.
The original fairly messy quotient can be shortened down to
[tex]\frac{90\text{cis}(\pi/4)}{2\text{cis}(\pi/12)}[/tex]
We have 90cis(pi/4) all over 2cis(pi/12) as one big fraction.
-------------------------------
Now we'll use this rule to divide two complex numbers
[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\\frac{z_1}{z_2} = \frac{r_1}{r_2}*\text{cis}(\theta_1-\theta_2)\\\\[/tex]
As you can see, we divide the r1 and r2 values to form the final coefficient out front. The theta angles are subtracted to form the new argument.
-------------------------------
Let's apply that idea to what your teacher gave you
[tex]z_1 = 90*\text{cis}(\pi/4)\\\\z_2 = 2*\text{cis}(\pi/12)\\\\\frac{z_1}{z_2} = \frac{90}{2}*\text{cis}(\pi/4 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(3\pi/12 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(2\pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(\pi/6)\\\\[/tex]
That last step then converts directly to the expression shown in choice C.
any of these please i don't get this
Answer:
33. $5.75
34. 15 ft
35. 8
36. 32
Step-by-step explanation:
These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.
__
33.You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...
x = cost of a milk shakey = cost of a sundaeThe given relations have to do with the prices of different quantities of these:
2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes
4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes
These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).
2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)
4y = 23.00 . . . . . . simplify
y = 5.75 . . . . . . . . . divide both sides by 4
The cost of an ice cream sundae is $5.75.
We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.
__
34.There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.
Volume of a cone of radius r and height h: V = 1/3πr²h
Volume of a cylinder of radius r and height h: V = πr²h
It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.
The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.
V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³
V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit
400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000
x = 2000(3/400) = 15 . . . . multiply by 3/400
The height of the top portion is 15 feet.
__
35.This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.
We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.
The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:
|g(-6)| = |-8| = 8 = |g(a)|
__
36.This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.
Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...
96x²/(ax) = 3x
Multiplying by ax gives ...
96x² = 3ax²
Dividing by 3x², we see that ...
(96x²)/(3x²) = (3ax²)/(3x²)
96/3 = a = 32
The value of 'a' is 32.
What is are the steps for multiplying (0.03)(-0.02)
Answer: (0.03)(-0.02) = -0.0006
Step-by-step explanation:
Step 1: Remove the Parenthesis
(0.03)(-0.02) → 0.03 ⋅ 0.02
Step 2: Multiply
0.03 ⋅ 0.02 = -0.0006
, Hope this helps :)
Have a great day!!
3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to
the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
16 308/1000 as a decimal
Answer: 16.308
Step-by-step explanation:brainiest please
A hot air balloon is at an elevation of 425 feet. It descends 110 feet what is the elevation of the balloon?
Answer:
315
425 + -115 = 315 feet
Step-by-step explanation:
Answer:
The balloon will be at an elevation of 315 feet.
Step-by-step explanation:
425-110=315
DO THE MATH
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)? (2 points)
1. The house sold for $250,000.
2. The house stayed on the market for an average of 250 days before being sold.
3. This is the average number of days the house stayed on the market before being sold for $250,000.
4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold.
f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:
1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)
2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)
3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)
4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)
This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.
I hope I've helped! :)
Answer:
f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.
50 points!! :D
not sure how to do this :/
Answer:
1
Step-by-step explanation:
x - 5 = -2( x + 1 )
=> x - 5 = -2x - 2
=> x + 2x = 5 - 2
=> 3x = 3
∴ x = 1
solve for x:
4x-14=-2x+24
Answer: 6 1/3
Step-by-step explanation:
4x-14 = -2x+24
4x = -2x+24 + 14 [Add 14 to both sides]
4x + 2x = 24 + 14 [Add 2x to both sides]
6x = 38 {Combine like terms]
x = (19/3) or 6 1/3
i need help: solve (4x^(6))^((3)/(2))
Answer:
(4x^{(6)})^{(\frac{(3)}{(2)})}
(4x(6))((2)(3))
Step-by-step explanation:
I think that's the answer
Explain how 1 + 1 can be three.
Will mark brainliest
Answer:
1+1=2
1+1−52=2−52
(1+1−52)2=(2−52)2
(1+1−52)2=22−10+(52)2
(1+1−52)2=4−10+(52)2
(1+1−52)2=9–15+(52)2
(1+1−52)2=32–15+(52)2
(1+1−52)2=(3−52)2
1+1−52=3−52
1+1=3
Please help help and thank you
Answer:
The first option you have selected should be correct. if any doubt comment.
help for this question, please and thanks
Answer:
a = 3
b = -1
c = -5
d = -7
Step-by-step explanation:
to find each letter, put the corresponding 'x' value into the y-equation and solve:
for 'a': y = -2(-3) + (-3) = 6 + (-3) = 3
for 'b': y = -2(-1) + (-3) = 2 + (-3) = -1
for 'c': y = -2(1) + (-3) = -2 + (-3) = -5
for 'd': y = -2(2) + (-3) = -4 + (-3) = -7
Can someone reflect (7,6) across the x axis then reflect across the y axis
Answer:
(7, -6)
(-7, -6).............
..
Answer: -7,-6
Step-by-step explanation:
So if we look at a graph 7,6 is on the right upper quadrant since its completely positiv, once we relfect the x axis then it becomes 7,-6 then once we reflect across the why axis it finally becomes -7,-6
HELP!!! I WILL GIVE BRAINLIEST!!!!
1.Find f(4) if f(x) = (1/2)x + 13
2.Find f(5) if f(x) = (3/5)x - 10
3.Find f(-1) if f(x) = x2 + 7
4.Find f(2) if f(x) = 3x3 -12x2
Answer:
15, - 7, 8, - 24
Step-by-step explanation:
1
f(4) = [tex]\frac{1}{2}[/tex] × 4 + 13 = 2 + 13 = 15
2
f(5) = [tex]\frac{3}{5}[/tex] × 5 - 10 = 3 - 10 = - 7
3
f(- 1) = (- 1)² + 7 = 1 + 7 = 8
4
f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24
Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning coordinates as given, where RS¯¯¯¯¯ is the midsegment of trapezoid KLMN. Trapezoid K L M N on the coordinate plane. The vertices of the trapezoid are K begin ordered pair 0 commas 0 ends ordered pair, L begins ordered pair 2a comma 0 end ordered pair, M begin ordered pair 2d comma 2c end ordered pair, and N begin ordered pair 2b comma 2c end ordered pair. Segment R S is drawn with point R on segment K N and point S on segment L M. Drag and drop the correct answers to complete the proof. Since RS¯¯¯¯¯ is the midsegment of trapezoid KLMN, the coordinates of R are (b, Response area) and the coordinates of S are (, c). The slope of KL¯¯¯¯¯ is the Response area. The slope of RS¯¯¯¯¯is 0. The slope of NM¯¯¯¯¯¯¯ is 0. The slope of each segment is 0; therefore, the midsegment is parallel to the bases. choices - a, b,c,d a+d, 0, 1, 2
Step-by-step explanation:
boy, that is hard to decipher ...
but from what I understood after a while of reading and re-reading, the proof is based on the equal slope (0) of all 3 lines showing that all 3 lines are parallel.
remember, the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, going from N to M :
x changes by (2d - 2b) units.
y changes by 0 units (2c to 2c).
so, the slope of NM is 0/(2d - 2b) = 0.
going from K to L :
x changes by (2a - 0) = 2a units.
y changes by 0 units (0 to 0).
so, the slope of KL is 0/2a = 0.
R and S are the middle points between K and N, and between L and M.
R = ((2b+0)/2, (2c+0)/2) = (b, c)
S = ((2d + 2a)/2, (2c + 0)/2) = ((d+a), c)
so, going from R to S :
x changes by (d+a-b) units.
y changes by 0 units (c to c).
so, the slope of KL is 0/(d+a-b) = 0.
as all 3 slopes are equal (and with being 0 also parallel to the x-axis), this proves that the line RS is parallel to its bases.
Hope I helped! Have a nice day! Really hope this helps k12 students!
what is the slope of the line // take my points !!!!
Answer:
Im not sure
Step-by-step explanation:
Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
( xy-1 )^ 2 - ( y-1 ) ^2
help pleaseeeeeeeeeeee
[tex](xy-1)^2-(y-1)^2\\\\=(xy - 1 - y+1)(xy-1+y-1)~~~~~~;[a^2-b^2 = (a-b)(a+b)]\\\\=(xy-y)(xy+y-2)\\\\=y(x-1)(xy+y-2)[/tex]
percent of change original:8 new :12
Answer:
?????????
Step-by-step explanation:
What are u asking
Karen purchased the DVD player shown in the sign on the right. Find the percent markdown rounded to the nearest percent. (SALE! Was $175.90. now $153.77)
HELP ME PLZZZ
Answer:
probably 2.................
Question is atttached below
Answer:
A. 20·60
Step-by-step explanation:
The product of force and distance is ...
[tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]
Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer
Which capacities are written in order from least to greatest?
A.2L, 2900mL, 250cl, 24dL
B.2L, 24dL, 250cL, 2900mL
C.2900mL, 250cL, 2L, 24dL
D.2900mL, 2L, 250cL, 24dL
Answer:
B
Step-by-step explanation:
A. 2L, 2.9L, 2.5L, 2.4L
B. 2L, 2.4L, 2.5L, 2.9L
C. 2.9L, 2.5L, 2L, 2.4L
D. 2.9L, 2L, 2.5L, 2.4L
Answer:
what is in order from least to greatest is B
Step-by-step explanation:
as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)
Substitute x = 9 and solve for B
3x + 10 = b
Answer:
b = 37
Step-by-step explanation:
3x + 10 = b
(3 x 9) + 10 = 27
27 + 10 = 37
Answer:
b Is 37
Step-by-step explanation:
x Is 9
instead of x you write 9
3x mean 3×X
3×X+10= 3×9+10=27+10=37
If you need to cut 5 pieces of fabric a 14 feet length, how long should each piece be?
Answer:
I think by mental math it would be 2.8 feet.
Step-by-step explanation:
3.
(03.06)
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. (2 points)
f(x) = (x −8)2
f(x) = (x −4)2−13
f(x) = (x −4)2 + 3
f(x) = (x −4)2 + 16
Answer: f(x) = (x −8)2
Step-by-step explanation:
9.
3
Here is a recipe for making 10 chocolate chip cookies.
Chocolate Chip Cookies
Makes 10 cookies.
100 g of flour
60 g of sugar
50 g of margarine
40 g of chocolate chips
g
2 eggs
Work out the amounts needed to make 15 chocolate chip cookies.
Answer:
you will half the recipe, so
50g flour
30g sugar
25g margarine
20g chocolate chips
1 egg
then add together. recipe for 15 cookies will be;
150g flour
90g sugar
75g margarine
60gr chocolate chips
3 eggs