Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
The product of the expressions is 5r^3 - 34r^2 + 44r - 16
What is a product?The product of two expression is done by multiplying the expressions
The product expression is given as:
[tex](5r - 4)(r^2 - 6r + 4)[/tex]
Expand the expression
[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]
Collect like terms
[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]
Evaluate the like terms
[tex]5r^3 - 34r^2 + 44r - 16[/tex]
Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16
Read more about product at:
https://brainly.com/question/4344214
if x4 + 1/x4 = 4 find the value of x2+1/x2
Answer:
Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
Step-by-step explanation:
I think its 2
Find the area of the circle if the square has an area of 900in^2. Give your answer in terms of 3.14 or pi
Answer:
450in^2
Step-by-step explanation:
square root of 900 is 30.
Each side of square is 30.
Each side of a triangle formed by drawing a radi in the square is 15 in.
The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.
A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2
someone help!!!!!!!!
Answer:
Top right
Step-by-step explanation:
First, we have "h is increasing on the interval (3, +∞)." This means that h must be increasing for all values 3 and higher. This is shown on the top left, top right, and bottom right graphs because when x goes up on each of them, the function increases as well. However, for the bottom left graph, this is not shown because as x goes from 3 to 4, the function decreases.
Next, the statement given is "h(4)=2". This means that when the x value is 4, the y value is equal to 2. This is true for the top left and top right pictures. However, for the bottom right, as the x value is 4 on the x axis, the corresponding y value is 1, not 2.
This leaves us with the top left and top right. The final characteristic given is "The domain of h is [3, +∞). This means that the x values of said function only go from 3 to infinity. As the top left graph has values of x below 3, this leaves the top right graph as h
PLEASE PLEASE HELP ME WITH THIS GEOMETRY QUESTION!!!
Step-by-step explanation:
Objective: Circle Theorems
The arcs add up to 360 and they are in proportion so
[tex]3x + 3x + 4x + 5x = 360[/tex]
[tex]15x = 360[/tex]
[tex]x = 24[/tex]
So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.
Angle 1 measure is a inscribed angle of Arc CD.
So it measures
[tex] \frac{96}{2} = 48[/tex]
Angle 2 is a inscribed angle of Arc AB so it measures
[tex] \frac{72}{2} = 36[/tex]
Angle 3 is a inscribed angle of Arc DA.
[tex] \frac{120}{2} = 60[/tex]
Angle 4 is a inscribed angle of Arc BC so it measures
[tex] \frac{72}{2} = 36[/tex]
Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.
Angle 4 measures 32 so Angle 5 is it complement to Angle 4.
[tex]32 + x = 90[/tex]
[tex]x = 58[/tex]
Angle 6 is formed by two intersecting chrods
so it measures
[tex] \frac{1}{2} (120+ 72) = 96[/tex]
Help me thanks bsbsbs
Answer:
4.56, 4,65, 5,46, 5.64, 6.45 and 6.54
Step-by-step explanation:
start with the whole number and find the smallest one!
It would be 4 then find the number with the smallest amount
Keep doing this to all of the numbers
PLEASE HELP IF YOU KNOW GEOMETRY THIS SHOULD BE EASY
Answer:
Growth
Step-by-step explanation:
When x value increase, y value also increase, So growth.
When x = 1 ;f(1) = 2
When x = 2 ; f(2) = 2² = 4
When x = 3 ; f(3) = 2³ = 8
Answer:
Exponential Growth
Step-by-step explanation:
I found this photo that helps differentiate both growth and decay :)
I hope this helps! :)
Please help me I really need help
Answer:
-2 + 6i
Parallelogram
Step-by-step explanation:
( 5 - 2i ) + ( - 7 + 8i )
remove parenthesis
5 - 2i + ( -7 ) + 8i
combine like terms
5 + (-7) = -2
-2i + 8i = 6i
-2 + 6i
The arrows on the opposite sides indicate that the sides are parallel
A shape with two sets of parallel sides is known as a parallelogram
Please help and thank u
Answer:
The answer to this question is C.
HELP pls help me with this problem.
Answer:
8units
Step-by-step explanation:
area of a triangle=1/2base x height
1/2×4×4
2×4
8units
Evaluate F(x) = x^2 + 1 for f(-1)
Answer:
2
Step-by-step explanation:
f(x) = x^2 + 1
f(-1) = (-1)^2 + 1
f(-1) = 2
Answer:
f(x)=x^2+1
f(-1)=(-1)^2+1
f(-1)=1+1
f(-1)=2
what are the steps to this?
Answer:
Start at the positive
x
-axis, then rotate left by the desired angle.
Explanation:
Standard position means the first arm of the angle is the positive
x
-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.
As a basic example, the symbol
∠
is about a 45° angle in standard position.
To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.
If our angle was 90°, the terminal arm would be on the positive
y
-axis.
If our angle was 180°, it would be on the negative
x
-axis.
Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.
graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}
(ignore the part of the line in quadrant 4)
Step-by-step explanation:
Find the distance between the points (11,4) and (10,5)
Here's a little something that will tease your brain. I doubt someone will answer this
Answer:
500ml orange juice is the most cost effective
PLEASE HELP!!!! i need this done tonight and i dont know how to do it
Answer:
x=-2/3
Step-by-step explanation:
So let's start off with adding 4x on both sides, we add them to cancel out the -4x on the right hand side.
4x+-9x=-5x
Now, as for the fractions all we really gotta do here is add and subtract them. Let's subtract 5/6 on both sides. once we do that we get:
2/3+7/2-5/6=-5x
A quick trick for adding and subtract fractions is to cross multiply.
2/3+7/2
Multiply 3 times 7 and 2 times 2, then we'll multiply 3 times 2 to get a denominator.
3*2=6 (our denominator)
3*7=21
21/6
2*2=4/6
21/6+4/6=
25/6
Awesome! Now we have two like denominators so we don't have to do any additional cross multiplying. So, we can subtract 25/6-5/6=20/6.
Now, all we're left with is:
20/6=-5x
We can multiply 6 on both sides to isolate the 20.
20=-30x
Divide -30 on both sides!
x=-2/3
Hope this helps!
Calculate the book value of a new maxi taxi costing $44000 after 5 years if it depreciates each year by 13% a. $22,930.52 b. $21,930.52 c. $23,930.52
Answer:
A=$21930.52
Step-by-step explanation:
Given data
Principal =44000
Time =5years
Rate of depreciation =13%
The expression for the depreciation is
A=P(1-r)^t
Substitute
A=44000(1-0.13)^5
A=44000(0.87)^5
A=44000*0.4984209207
A=21930.52
Help me solve these 4 plssss ASAP
Step-by-step explanation:
[tex]1) \\ - 2 \leqslant x \leqslant 1 \\ 2) \\ - 3 > x \geqslant 2 \\ 3) \\ x> 0[/tex]
[tex]4) \\ x \leqslant - 3 \\ 5) \\ - 4 \leqslant x \geqslant 1[/tex]
[tex]6) \\ - 2< x \leqslant 0[/tex]
i need help with this
Answer:
[tex]y = - \frac{1}{2} x + 4[/tex]
Step-by-step explanation:
Let us consider two points through which the line passes through
[tex](x_1 , y _ 1 ) = ( 0 , 4 ) \ and \ (x_ 2 , y _ 2 ) = ( 4, 2 )[/tex]
Step 1 : Find slope of the line
[tex]Slope, m_1 = \frac{rise}{run} \\\\That \ is \ m_1 \ = \frac{y_2 - y _ 1}{x_2 - x_1}[/tex]
[tex]= \frac{2 - 4}{4-0} \\\\=-\frac{2}{4}\\\\= - \frac{1}{2}[/tex]
Step 2 : Find equation of the line.
[tex](y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - \frac{1}{2}(x - 0)\\\\y = -\frac{1}{2}x + 4[/tex]
Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be?
Answer:
The length of each piece is 0.833 ft.
Step-by-step explanation:
Length of board, L = 5 ft 1 inch
loss per cut = 1/5 inch
The board should be cut by 5 times to get the 6 pieces.
The loss in 5 cuts = 5 x 1/5 = 1 inch
So, the length of each piece is
[tex]L' =\frac{5 ft 1 in - 1in }{6}\\\\L' =\frac{5}{6}\\\\L' = 0.833 ft[/tex]
The length of each piece is 9 13/15 inches.
What is the length of each piece?The first step is to determine the length of the board in inches. In order to do this, feet should be converted to inches.
1 feet = 12 inches
(12 x 5) + 1 = 61 inches
Total losses of the 6 cuts = 1/5 x 6 = 6/5 = 1 1/5 inches
Total length left = 61 inches - 1 1/5 inches = 59 1/5 inches
Length of each board = 59 1/5 ÷ 6
296 / 5 x 1/6 = 296 /30 = 9 26/30 = 9 13/15 inches
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
A newborn baby weighed 133 ounces.
What is the baby's weight in pounds and
ounces? (1 pound = 16 ounces)
Answer: UHHHHH i shall halp ya
Step-by-step explanation:
if its 133 in ounces its 293.215 in pounds
Answer: 8 pounds and 5 ounces
Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.
The equation of the circle having center (5, 4) and touching y-axis is
A. x 2 + y2 – 10x – 8y + 25 = 0
B. x 2 + y2 – 5x + 4y + 8 = 0
C. x 2 + y2 – 5x + 4y + 8 = 0
D. x 2 + y2 – 42 – 5y + 10 = 0
Answer:
None Of the Above.
Step-by-step explanation:
As we know that the general equation of circle is
( x - h )^2 + ( y - k )^2 = r^2
putting h=5 and k= 4 and r= 5
x² + 25 - 10x + y² +16 - 8y = 25
x² + y² - 10x - 8y + 16 = 0 is the answer.
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There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?
Answer:
Step-by-step explanation:
28 kg + 750 g = 28*1000 + 750
28000 + 750
= 28750 g
Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack
= 28750 ÷ 500
= 57 sacks
Answer:
57 sacks
Step-by-step explanation:
28750 ÷ 500 =
57 sacks
Glad to help! :)
The midpoint of AB is M(- 2, 1) . If the coordinates of (1, - 2) , what the coordinates of B?
Answer:
(-5, 4)
Step-by-step explanation:
Finding the X of B
-2 = x2+x1/2
-2 = x2+1/2 (substituted X co-ord of A into x1)
-4=x2+1 (multiplied both sides by 2)
-5=x2 (brought 1 to the other side)
Finding the Y of B
1 = y2+y1/2
1 = y2 - 2/2 (substituted Y co-ord of A into y1)
2 = y2 -2 (multiplied both sides by 2)
4 = y2 (brought 2 to the other side)
what is the value of k in which the expression k-22=13-61
Use the explicit formula an = a1 + (n-1)•d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...
Step-by-step explanation:
the answer is in the image above
Answer:
a₅₀₀ = 3517
Step-by-step explanation:
a₁ represents the first term and d the common difference
Here a₁ = 24 and d = 31 - 24 = 7 , then
a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517
How many sides do 2 hexagons and 2 pentagons have in all?
Answer:
22 sides total
Step-by-step explanation:
a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.
[tex]2(6)+2(5)=\\12+10=22[/tex]
no links please, i cant find the answer for q b) ii)
Answer:
-k
Step-by-step explanation:
Cos(140)=cos(180-40)=-cos(40)=-k
Answer:
Step-by-step explanation:
Sin (90 - A) = Cos A
Cos (90 + A) = -Sin A
Sin 50 = Sin (90 - 40)
= Cos 40
= k
Cos 140 = Cos (90 + 50)
= - Sin 50
= (- k)
what is the answer to 15y − 1 = 11/2y + 2
Answer:
y= 6/19
hope it helps
If ABCD is a parallelogram,what is the value of x?
answers
a.) 46
b.) 82
c.) 38
d.) 44
e.) 69
f.) 37
Answer:
D.44
Step-by-step explanation:
i hope its help for you po
The tables represent the functions f(x) and g(x).
A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, f(x), has the entries, negative 5, negative 3, negative 1, 1, 3, 5. A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, g(x), has the entries, negative 13, negative 9, negative 5, negative 1, 3, 7.
Which input value produces the same output value for the two functions?
Answer:
rtyujn
Step-by-step explanation:
er456y7ujm
A group of people were asked if they had run a red light in the last year where 140 responded "yes," and 208 responded "no." If a person is randomly chosen, find the probability that he/she has run a red light in the last year. Give your answer as a fraction or decimal.
Answer:
35/87
Step-by-step explanation:
To find the probability, we must find (total number of favorable outcomes)/ (total number of outcomes). We thus need to find the total number of outcomes. As people have only answered "yes" or "no", the total number of outcomes is 208+140 = 348.
The total number of favorable outcomes, or what we're looking for, is 140 (140 people responded that they had run a red light). Thus, our fraction is 140/348, or 35/87
