Answer: t⁴T¹⁰ + 2t⁵T⁵ + t⁶
Step-by-step explanation:
[tex](t^2T^5+t^3)^2\\\\\\=(t^2T^5)^2+2(t^2T^5t^3)+(t^3)^2\\\\\\=t^4T^{10}+2t^5T^5+t^6[/tex]
This can also be written as:
[tex]t^4(T^{10}+2tT^5+t^2)[/tex]
question 137 I hate mi life...
Answer:
bRAINLEIST
Step-by-step explanation:
16-3p=2/3p+5
-3 2/3p = -11
-11/3p = -11
-11p = -33
P = 3
Answer:
p=3 on Khan
Step-by-step explanation:
i also hate mi life
If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?
Answer:
[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers
Step-by-step explanation:
A vertical compression by a factor 9 is represented by the transformation:
[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]
Therefore the answer to the problem is:
[tex]g(x) = \frac{1}{9} \,x^2[/tex]
Can someone help me with this ????
Answer:
A.
[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]
Step-by-step explanation:
Given
Ratio = 3:5
Q = -14
S = 2
Required
Which solution uses [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]
From the given parameters;
[tex]m:n = 2:5[/tex]
[tex]m = 2\ and\ n = 5[/tex]
[tex]x_1 = -14\ and\ x_2 = 2[/tex]
Substitute the above values in [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]
This gives:
[tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]
[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]
From the list of given options, only option A uses the given form of the formula...
What is the slope of the line described by the equation below y=-6x+3
Answer:
[tex]-6[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
[tex]m[/tex] is the slope of the line.
[tex]b[/tex] is the y-intercept.
[tex]y=-6x+3[/tex]
[tex]m=-6[/tex]
[tex]-6[/tex] is the slope of the line.
Answer:
-6
Step-by-step explanation:
The given equation is:
y = -6x+3
The standard slope-intercept equation is:
[tex]y = mx+c[/tex]
Where m is slope and c is y-intercept
Comparing the given equation with standard form, we get:
Slope = m = -6
Need some help I have the first bit
Answer:
y = [tex]\frac{3}{5}[/tex]x + 3
Step-by-step explanation:
First, find the slope with rise/run
This gets you 3/5
Then, find the y intercept, which is (0, 3)
The equation will be
y = [tex]\frac{3}{5}[/tex]x + 3
Answer:
Brainleist!!!
Step-by-step explanation:
see picture!
Which of the following is a root of the polynomial shown below?
f(x) = x² + 2x2-1-2
Answer:
[tex]x {}^{2} + 4 - 1 - 2 \\ x {}^{2} + 3 - 2 \\ = x {}^{2} + 1[/tex]
100 POINTS
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit on the graph. What would most likely be the approximate height of the plant after 8 weeks?
11.0 centimeters
9.25 centimeters
8.8 centimeters
7.4 centimeters
Answer:7.4cm
Step-by-step
The approximate height of the plant after 8 weeks is 5.8 centimeters.
Given that:
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x.
Donna drew the line of best fit on the graph.
From the graph, the line of best fit passes through the points (0, 1) and (5, 4).
Now find the equation of the line passing through these points.
The slope of the line is:
m = (4 - 1) / (5 - 0)
= 3/5
The equation of the line can be written as y = 3/5 x + c.
Now, substitute one of the points, let it be (0, 1).
1 = c
So the equation is y = 3/5 x + 1.
Now, after 8 weeks, x = 8.
y = 3/5 (8) + 1
= 5.8
Hence the height is approximately 5.8 centimeters.
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A triangle has the coordinates A( 4, –1), B(3, –3), and C(0, 2). Reflect the triangle over the y-axis and find the coordinates of its image.
Answer:
Step-by-step explanation:
For greater clarity, graph this triangle. If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex. The point B(3, -3) becomes D(-3, -3). Finally, the point A(4, -1) becomes E(-4, -1).
Answer:
A(4,-1)-> A'(-4,-1) . B(3,-3)->B'(-3, -3) . C(0,2) -> C' (0,2)
Step-by-step explanation:
Satnam is making a cake. He uses a batter made of 350 g of
dry ingredients. If the liquid has to be two sevenths of the
total weight of the batter, how much liquid should he add?
.
g
Answer:
Satnam should use 100g of luqid ingerdients.
Step-by-step explanation:
If the batter is 350g and the liquid amount has to be 2/7 of the total weight of the batter than you would take 350 and divide it by 7, wich you would get 50, and that would be 1/7 of the 350; then if 50 is 1/7 then 100 would be 2/7 because you're doubling it.
Add. 7/4+9/-5 wrote your answer as a fraction in simplest form
Answer:
7/4 + 9/-5 =
Since the denominator of the second fraction is negative the sign will change from negative to positive
We will get
7/4 - 9/5
First find the LCM
LCM of 4 and 5 is 20
7/4 - 9/5 = 5(7) - 4(9)/ 20
Simplify
We get
35 - 36/20
= -1/20
Hope this helps
Answer:
-1/20
Step-by-step explanation:
7/4 + -9/5
We need a common denominator, which is 20
7/4 *5/5 + -9/5 *4/4
35/20 + -36/20
Add the numerators together
-1/20
f(x) = -9x + 2 and g(x) = -9x + 6, find (f - g)(7)
Answer:
I think there is an error in the question because
(f-g) = -4
(f-g) (7) = NO SOLUTION
Step-by-step explanation:
[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]
you can buy a 47 pound bag of flour for $11 or you can buy a 1 pound bag of flour for $0.45. Compare the per pound cost for the large and small bags.
Answer:
Step-by-step explanation:
$11/ 47 pound = $0.234 for 1 pound
the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.
Answer:
First, let's find the unit price.
$11 ÷ 47 = $0.23 per pound.
$0.45 ÷ 1 = $0.45 per pound.
As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.
We can also put the values on a number line to compare.
$0.23 $0.45
(larger bag) (smaller bag)
<-|---------o---------------------o---------|------------------------------------------|->
$0 $0.50 $1
As you can see, the larger bag is closer to zero.
Hence, the larger bag is the better buy.Hope this helped!
-Emma
What is the length of HG?
mm
E
Type in your response.
8 mm
12 mm
H
A = 68 mm2
DONE
G
F
Answer:
[tex]HG = 5[/tex]
Step-by-step explanation:
Given
[tex]HE = 8mm[/tex]
[tex]EF = 12mm[/tex]
[tex]Area = 68mm^2[/tex]
Find the length of HG
First, it should be noted that the displayed figure is a trapezium
The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;
In this case;
[tex]Area = \frac{HG + EF}{2} * HE[/tex]
Substitute the values of Area, HE and EF
[tex]68 = \frac{HG + 12}{2} * 8[/tex]
[tex]68 = (HG + 12) * 4[/tex]
Divide both sides by 4
[tex]\frac{68}{4} = \frac{(HG + 12) * 4}{4}[/tex]
[tex]17 = HG + 12[/tex]
Subtract 12 from both sides
[tex]17 - 12 = HG + 12 - 12[/tex]
[tex]5 = HG[/tex]
[tex]HG = 5[/tex]
Hence, the length of HG is 5mm
WHAt is the equation of the graph below?
Find the y value for the point that divides the line segment CD into a ratio of 4:1.
Segment CD is shown. C is at 9, 6 and D is at 5, 1.
2
6.2
3
2.8
Answer:
Y = 2
Step-by-step explanation:
For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.
Then point of division is given by
(n*x1+m*x2)/ m+n, (n*y1+m*y2)/ m+n
________________________________
Given point
c = (9,6)
d = (5,1)
ratio = 4:1
using the above formula , point of division is
x= (1*9+4*5)/ 4+1 y= (1*6+4*1)/ 4+1
x= (9+20)/ 5 y= (6+4)/ 5
x= 29/ 5 y= 10/ 5 =2
Thus, answer is y = 2
Answer:
2 is correct
Step-by-step explanation: I got it right on test
Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above
sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who
has hooked a fish that is 10 meters below the surface of the water.
a. Use positive and negative numbers to represent the locations in relation to sea level.
Scottie =
Top of the lighthouse =
The boat =
The fish =
meters
b. How far is Scottie from the fish?
a.
Scottie = 30
Top of the lighthouse = 45 (30+15)
The boat = 0
The fish = -10
b.
10 + 30 = 40
The addition is one of the four fundamental mathematical operations. The Scottie is 40 meters below away from the fish.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
The representation of the locations in relation to sea level can be made as,
Scottie = 30 meters above the sea level = +30 meters
Top of the lighthouse = 45 meters above the sea level = +45 meters
The boat = at sea level = 0 meters
The fish = 10 meters below sea level = -10 meters
B. The Scottie is 40 meters below away from the fish.
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Multiply. 9x/4b•2bx/3x^5. Simplify your answer as much as possible
Answer:
3/2x^3
Step-by-step explanation:
multiply the numerators and the denominators
HURRY!!!! Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 270 degrees a. (1, 0) c. (0, -1) b. (0, 1) d. (-1, 0)
Answer:
The answer is c. (0,-1)
Step-by-step explanation:
So the unit circle is derived from a right triangle.
Subtract 8a - 4 from 3a
Answer:
-5a+4
Step-by-step explanation:
3a - (8a -4)
Answer:
Dear jaaayq
Answer to your query is provided below:
Subtracting 8a - 4 from 3a is - 5a + 4
Step-by-step explanation:
To subtract 8a - 4 from 3a
You need to write it as 3a - (8a-4)
Solve equation ,
3a - 8a + 4
= - 5a + 4
Multiply. -5•-1/7•4/8. Write your answer in simplest form.
Answer:
5/14
Step-by-step explanation:
Multiply.
(-5 × -1 × 4) / (7 × 8)
20/56
Simplify.
5/14
Answer:
The answer is [tex]\frac{5}{14}[/tex].
Step-by-step explanation:
1. -5 × [tex]\frac{-1}{7}[/tex] = [tex]\frac{5}{7}[/tex]
2. [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]
3. Simplify:
[tex]\frac{20}{56}[/tex] = [tex]\frac{5}{14}[/tex]
For what values of the variables are the following expressions defined? •18/y
Answer:
function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]
Step-by-step explanation:
given data
number = 18/y
solution
in given value 18/y
If y=0, the function will be Undefined.
Because, the function is undefined if its denominator = 0
so that if we determine the function is defined, we will find out for what values the function is undefined and remove it
so, the function 18/y is defined for all values of y such that
[tex]y \in R, y\neq 0[/tex]
Here are the front elevation, side elevation and plan of a 3D shape, what diagram shows the 3d shape from these photos?
Answer:
C
Step-by-step explanation:
Shape C represents the 3D shape's front elevation, side elevation and plan.
3/25 of the current delivered to an induction motor is wasted as reactive current.
Express this fraction in decimal form.
Answer:
0.12
Step-by-step explanation:
3/25= 12/100
12/100=0.12
Given:
MNOP is a parallelogram
Prove:
PM ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)
Answer:
Proved: PM ≅ ON
Step-by-step explanation:
A parallelogram is a quadrilateral with two opposite sides equal and parallel.
Find attached the diagram obtained from the information
From the above definition, quadrilateral MNOP is a parallelogram if:
Line MN is parallel to Line OP
Line ON is parallel to Line PN
From the diagram
Line MN is parallel to Line OP
Side MN is = side OP
Line ON is parallel to Line PN
Side ON is = side PN
Since the geometric size is equivalent
PM ≅ ON
Where ≅ means congruent to
Proved.
Brainliest for whoever gets this right!
Please help ASAP!
Find the inequalities which describe the regions that’s shaded
Answer:
The lines that make up this region are y = 5 (light blue line), x = 2 (green line) and y = x (purple line). The graph tells us that the answer is y ≤ 5, y ≥ x and x ≤ 2.
Answer:
Green: x is less than or equal to 2
Purple: y is greater than or equal to x
The horizontal line near the top is y=6, so the blue shaded area below is y is less than or equal to 6
Step-by-step explanation: Solid lines mean equal to or < >
Sorry my keyboard doesn't have the real symbol for those.
Since the y-intercept for the purple area is 0, there is no constant to enter in the slope-intercept form: y=mx+b And since the slope is 1, there is no coefficient with x.
Find the domain and range of the exponential function h(x) = –343x. Explain your findings. As x decreases, does h increase or decrease? Explain. As x increases, does h increase or decrease? Explain.
Answer:
Domain: All real numbers
Range: y ≤ 0
Step-by-step explanation:
The graph of the function h(x) = -343ˣ is shown below.
We can see that the domain of the functions is all real real numbers.
However, Range of the function only includes 0 or the negative values of y, so Range of the function is y ≤ 0.
It can be clearly seen in the graph that when x increase, y decreases, for example for x = -0.5, the value of y is y = -0.05. If x is increase to x = 0, then value of y decreases to y = -1.
Similarly, when x = 0.1, the value of y is y= -1.8 , if x decreases to 0, then y increases to y=-1.8, which shows that when x decreases, y increase.
Which number is a multiple of 6 and 8
Answer:
The lowest number that is a multiple of 6 and 8 is 24.
Step-by-step explanation:
6, 12, 18, 24.
8, 16, 24.
Out of the given numbers, 24 is the multiple of 6 and 8. Hence, the option (3) is correct.
Let's check for all the given options:
1) 3: 3 is divisible by neither 6 nor 8 hence it is not a multiple of both.
2) 18 : 18 is divisible by 6 but not divisible by 8. Hence, this option is not correct. Since we have to find a number which is divisible by 6 as well as by 8.
3) 24: 24 is divisible by 6 as well as by 8. Hence, this option is correct.
4) 2: 2 is neither divisible by 6 nor by 8. Hence, this option is not correct.
Hence, the correct option is (3).
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the value of x is __?
a coin lands on heads 200 times. the relative frequency of heads is 0.4 ? how many times was the coin thrown???????≈⊃ to whoever answer this question i know that u guys will see the points i have given and say this is sooooo crazzzzy. i will give points to u guys because it is my birthday guys. pleases write me nice comments. i love u all have a nice day everyone.
Answer:
The answer is 500 times
Step-by-step explanation:
hope this helps you
If K parallel to L find the value of a and the value of b.
Answer:
[tex]a = 30[/tex]
[tex]b = 40[/tex]
Step-by-step explanation:
Given
The attached triangle
Such that K is parallel to L
Required
Find the value of a and b
From the properties of parallel triangles;
Provided that k is parallel to l, then
[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]
[tex]60a = 40(a+15)[/tex]
Open Bracket
[tex]60a = 40*a+40*15[/tex]
[tex]60a = 40a+600[/tex]
Subtract 40a from both sides
[tex]60a - 40a = 40a - 40a + 600[/tex]
[tex]20a = 600[/tex]
Divide both sides by 20
[tex]\frac{20a}{20} = \frac{600}{20}[/tex]
[tex]a = \frac{600}{20}[/tex]
[tex]a = 30[/tex]
Similarly;
[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]
[tex]60b = 40(b+20)[/tex]
Open Bracket
[tex]60b = 40*b+40*20[/tex]
[tex]60b = 40b+800[/tex]
Subtract 40b from both sides
[tex]60b - 40b= 40b - 40b + 800[/tex]
[tex]20b= 800[/tex]
Divide both sides by 20
[tex]\frac{20b}{20} = \frac{800}{20}[/tex]
[tex]b = \frac{800}{20}[/tex]
[tex]b = 40[/tex]