PLUG IN 2 IN THE PLACE OF X IN THE FUNCTION THEN SIMPLIFY
f(2)= |5×2|
f(2)=|10|
\(f(2) = 10\)
ATTACHED IS THE SOLUTION
Answer:
\(\rm f(2)=|5\;^*\;2|=|10|=10\)
Step-by-step explanation:
The bars either side of an expression or a value are the absolute value symbol. "Absolute value" means how far a value is from zero. Therefore, the absolute value of a number is its positive numerical value.
Given absolute value function:
\(f(x)=|5x|\)
To find f(2), substitute x = 2 into the given function:
\(\begin{aligned}\implies f(2)&=|5 \cdot 2|\\&=|10|\\&=10\end{aligned}\)
State the groups of shapes
Answer:
The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.
Step-by-step explanation:
The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.
Any help would be much appreciated!!
In AJKL, JK II MN. Given that MJ = 10, NK = 25, and LN = 20, find LM.
M
K
LM = 0
Answer:
please mark as brainliest
Answer:
LM = 8Step-by-step explanation:
To find:-
The value of LM .Answer:-
We are here given that JK is parallel to MN , and the values of MJ is 10 , NK = 25 and LN is 20 . We are interested in finding out the value of LM .
We can use Thale's Theorem here , according to which;
Thale's Theorem:-
If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.So here we have;
\(\longrightarrow \dfrac{LM}{MJ}=\dfrac{LN}{NK} \\\)
On substituting the respective values, we have;
\(\longrightarrow \dfrac{LM}{10}=\dfrac{20}{25}\\\)
\(\longrightarrow LM = 10\times \dfrac{20}{25}\\\)
\(\longrightarrow\large \pmb{\underline{\boxed{ LM = 8 }}} \\\)
Therefore the value of LM is 8 .
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
for such more question on length
https://brainly.com/question/20339811
#SPJ11
8x-9+6h use x=5 and h=9
Step-by-step explanation:
8x-9+6h
8×5-9+6×9
40-9+54
85 ans
The graph shows the amount of caffeine left in the body after drinking a 20-ounce soft drink with 90 milligrams of caffeine. Which of the following exponential equations best fits the data?
y=90(2)^
y=2(90)^x
y=0.5(90)^x
y=90(0.5)^x
Answer:
y=90(0.5)^x
The y-intercept is (0,90), so when x=0, y should be 90.
By replacing x=0 in all equations you get;
1)
y=90(2)^0 =90 accepted
2)
y=2(90)^0 =2 rejected
3)
y=0.5(90)^0 =0.5 rejected
4)
y=90(0.5)^0 =90 accepted
Since this is an exponential decrease,
y=90(2)^x is rejected.
Find the area of the irregular figure. Round to the nearest hundredth.
Answer:
23.14
Step-by-step explanation:
Solve for the area of the figure by dividing it up into parts. You can divide into a half-circle and a triangle
Half-Circle
The diameter is 6. This means that the radius is 3. Use the formula for area of a circle. Divide the answer by two since you only have a half-circle.
A = πr²
A = π(3)²
A = 9π
A = 28.274
28.274/2 = 14.137
Triangle
The base is 3 and the height 6. Use the formula for area of a triangle.
A = 1/2bh
A = 1/2(6)(3)
A = 3(3)
A = 9
Add the two areas together.
14.137 + 9 = 23.137 ≈ 23.14
The area is 23.14.
Answer:
23 sq. unitsStep-by-step explanation:
The figure consists of a semi circle and a triangle
Area of the figure = Area of semi circle + Area of triangle
Area of semi circle is 1/2πr²
where r is the radius
radius = diameter/2
radius = 6/2 = 3
Area of semi circle is
1/2π(3)²
1/2×9π
14.14 sq. units
Area of a triangle is 1/2×b×h
h is the height
b is the base
h is 6
b is 3
Area of triangle is
1/2×3×6
9 sq. units
Area of figure is
14.14 + 9
= 23.14
Which is 23 sq. units to the nearest hundredth
Hope this helps you.
9 kilograms = ___ grams
Answer:
9000
Step-by-step explanation:
1 kilogram is 1000 grams
2 kilograms is 2000 grams
We multiply our amount of kilograms by 1000 to find the amount of grams!
9 * 1000 = 9000
So, 9 kilograms = 9000 grams
Answer:
9000 grams.
Step-by-step explanation:
"Kilo" means 1000.
Therefore, in converting 9 kilograms to grams:
9 kilograms x (1000 grams/1 kilogram) = 9000 grams/9 kilograms, or
9 kilograms = 9000 grams.
~
Learn more about kilograms to grams, here:
https://brainly.com/question/14147088
x² + y = 20
-8x + 4y = -16
Answer:
If you're trying to solve the system of equations, the answer is
in point form: (4,4) , (-6,-16)
in equation form: x=4, y=4 x=-6, y=-16
Which of the following is the graph of f(x) = -0.5|x + 31-2?
Answer:
0.5x+ 29
Step-by-step explanation:
collect like terms 0.5x+(31-2)
simplify 0.5x+29
Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Please answer and explain both in laymens terms
After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.
In order to calculate the area to the left of z=2.09 we have to apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.
Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:
1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is 87.6
To learn more about standard deviation
https://brainly.com/question/24298037
#SPJ1
WILL GIVE BRAINLIEST !!
19. Car repairs. A consumer
organization estimates that
over a 1-year period 17% of cars will need to be repaired
once, 7% will need repairs twice, and 4% will require
three or more repairs. What is the probability that a car
chosen at random will need
a) no repairs?
b) no more than one repair?
c) some repairs?
Answer:
I think the answer is b. I am not sure so if I was incorrect I apologize.
Step-by-step explanation:
9) Maya has completed 35% of her math test. She answered 14 questions. 6 points
How many questions are on the test? *
9514 1404 393
Answer:
40
Step-by-step explanation:
If the number of questions on the test is Q, then we have ...
35% × Q = 14
Dividing by the coefficient of Q gives ...
Q = 14/0.35 = 40
There are 40 questions on the test.
2. The table below shows the results of an experiment that relates the height at which a ball is dropped, x, to the height of its first bounce, y.
Drop Height (x) (cm) Bounce Height (y) (cm)
100 26
90 23
80 21
70 18
60 16
Answer:
90 , 23 is the answer
Step-by-step explanation:
Solve following modular equation, using reverse Euclidean algorithm:
\((5 * x) mod 91 = 32\)
The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
Given that (5*x) mod 91 =32.
To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.
Consider (5*x) mod 91 =32.
5x = 32(mod 91)
Apply the Euclidean algorithm to find GCD of 5 and 91 is
91 = 18 * 5 + 1.
Rewrite it in congruence form,
1 = 91 - 18 *5
On simplifying the equation,
1 = 91 (mod 5)
The modular inverse of 5 modulo 91 is 18.
Multiply equation by 18 on both sides,
90x = 576 (mod91)
To obtain the smallest positive solution,
91:576 = 6 (mod 91)
Divide both sides by the coefficient of x:
x = 6 * 90^(-1).
Apply the Euclidean algorithm,
91 = 1*90 + 1.
Simplify the equation,
1 + 1 mod (90)
The modular inverse of 90 modulo 91 is 1.
Substitute the modular inverse in the given question gives,
x = 6*1(mod 91)
x= 6 (mod91)
Therefore, the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
Learn more about modular equation click here:
https://brainly.com/question/15055095
#SPJ1
Which shape contains exactly three congruent sides?
Answer:
An equilateral triangle has 3 equal sides
Step-by-step explanation:
THERE CAN BE 2 OR MORE EVEN 1
Answer:
3(13.50+6.50s) and 3(20.00s)
Step-by-step explanation:
Will give the brainliest answer
Answer:
I think it's C, because the figures are similar by THAT statement
Which word best describes the degree of overlap between the two data sets?
Responses
high
high
moderate
moderate
low
low
none
There are 108 pigeons that need pigeon coops. Each coop can hold up to 7 pigeons. How many coops are needed for all 108 pigeons?
15 coops are needed for 108 pigeons
What is unitary method ?
The unitary method is a technique for solving a problem but first finding the value of a single unit , and then finding the necessary value by multiplying the single unit value
using unitary method
Total pigeon = 108
each coop can hold = 7 pigeons
7 pigeons are held by = 1 coop
108 pigeons will be held by = 108 / 7 = 15.43 =15
15 coops are needed for 108 pigeons
learn more about unitary method
https://brainly.com/question/22056199?referrer=searchResults
#SPJ2
There are 108 pigeons that need pigeon coops, each coop can hold up to 7 pigeons, coops are required for all 108 pigeons.
What are pigeons?"Pigeons are gentle, plump, small-billed birds with a skin saddle (cere) between the bill and forehead."
What are coops?"Pigeon houses are also sometimes referred to as "coops" although the word seems to have originally applied to the breeding pens inside the housing."
Total number of pigeons that needed coops \(=108\)
Number of pigeons each coop can hold \(=7\)
Number of coops required
\(=\frac{108}{7} \\=15.42\\=16\)
Hence, we need approximately 16 coops for all 108 pigeons.
To learn more about pigeons here
https://brainly.com/question/12119084
#SPJ2
Find the distance from the point (0, 3) to the line y = 3x – 9. Round your answer to the nearest tenth.
The distance is about
units.
Answer:
4
Step-by-step explanation:
This is a vague question so I understand why you reached out for help. Please not that my answer is not correct in case the problem is subliminally asking for the shortest distance, but there is no indication of that on the question prompt.
The graph is not drawn to scale.
The distance between the line and the point is 4 units.
What is Distance formula?The formula to find the distance between the two points is usually given by d=√((c-a)² + (d-b)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Given: line: y= 3x-9
put y= 3
3 = 3x-9
12 = 3x
x= 4
and, the other point is (0, 3).
Now, the distance between theses points
D= √(4-0)² + (3 -)²
D= √4²
D= √16
D= 4 units
Hence, the distance is 4 units.
Learn more about Distance formula here:
https://brainly.com/question/1872885
#SPJ2
Prove: The square of a number that is
one more than a multiple of 3 is also one
more than a multiple of 3.
n +
(3n + 1)2 = [ ? ]n? +
1([ ]n2 +
=
)n) +
- 1 more than a multiple of 3
Let 3n + 1 denote the "number" in question. The claim is that
(3n + 1)² = 3m + 1
for some integer m.
Now,
(3n + 1)² = (3n)² + 2 (3n) + 1²
… = 9n² + 6n + 1
… = 3n (3n + 2) + 1
… = 3m + 1
where we take m = n (3n + 2).
Can someone please help me solve this question. What is 8^6×8^9
Answer:
(8^6) × (8^9)=
3.51843721 ×10¹³
Answer:
8^15
Step-by-step explanation:
8^6×8^9= 8^(6+9)=8^15
Three friends got the prize money worth 120000 The first friend would get three times the amount of the third friends portion. The third friend would get twice the amount of the second friends portion. Determine the amount that each friend would receive.
Answer: 1st friend = 13333 x 6
2nd friend = 13333 x 2
3rd friend = 13333
(this is rounded off the actual amount of 1 unit is 13333.3333333)
Step-by-step explanation:
1st friend = 6 units
2nd friend =2 units
3rd friend =1 unit
6+2+1 = 9
120000 divided 9 = 13333
1st friend = 13333 x 6
2nd friend = 13333 x 2
3rd friend = 13333
Which expression does NOT equal 10/12?
1. 5/12 + 5/12
2. 3/12 + 2/12 +2/12 + 2/12 + 1/12
3. 4/12 + 3/12 + 2/12 + 1/12
4. 5/12 + 4/12 + 3/12 + 2/12 + 1/2
Answer:
4.
Step-by-step explanation:
5+4+3+2+1 does not equal 10, from what i've learned. :)
A. Range
B. Mode
C.mean
D.median
Please help me for a test i will give you a lot of Brainly points
Answer:
Step-by-step explanation:
A range
What is the period of the function f(x) shown in the graph?
Answer:
8pi
Step-by-step explanation:
The Period of the Function is 8π.
What is period of the function?The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle.
The interval of x-values that corresponds to the size of one cycle is the function's period.
Added significance The distance between two comparable locations, such as the distance between two peaks of the function, is known as the function's period.
As shown on the graph, the function has peak value and repeated every
(2π - (-6π))
= 2π + 6π
= 8π
Learn more about Period of Function here:
https://brainly.com/question/14383615
#SPJ2
d) Suppose you begin making a monthly payment of $75.00. Fill in the table.
Month Current balance
1
2
3
4
5
6
7
8
9
10
11
12
WYPIE
$2750.00
Interest
$45.38
Payment
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
Amount applied to principal
$29.62
Answer:
Step-by-step explanation:
Answer:
For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.
For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.
Point of view:
Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!
:)
4.7 × 10 -3 ___ 2 2
=
<
>
Answer:
>
Step-by-step explanation:
Answer:
>
Step-by-step explanation:
Rewrite in vertex form. y=x2+2x+6
Answer:
\(y = {x}^{2} + 2x + 6 \\ y = {( - 1 + i)}^{2} \)
Answe
y=(x+1)2+5
Step-by-step explanation: