[tex]g(x) =3x^2 -1\\\\g(-3)=3(-3)^2 -1 \\ \\~~~~~~~~~=3(9) -1 \\\\~~~~~~~~~=27-1\\\\~~~~~~~~~=26[/tex]
Answer:
g(26)
Step-by-step explanation:
substitute -3 for x.
g(x)=3[tex]x^{2}[/tex]-1
[tex]g(-3)=3(-3)^{2} -1\\g(-3)= 3(9)-1\\g(-3)= 27-1\\g(-3)=26[/tex]
Name the types of angles shown.
L
M
Check all that apply.
A. straight angle
B. right angle
c. supplementary angles
D. complementary angles
Answer:
Ans : A. Straight angle
Step-by-step explanation:
Brainliest me pls
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Brain
could someone pleasee help me will give brainliest
If set A contains four distinct numbers and set B contains seven distinct letters, how many elements are in (A U B)?
There are 11 elements are in (A U B)
How to determine the number of elements?The given parameters are:
n(A) = 4
n(B) = 7
The number of elements in (A U B) is calculated using:
n(A U B) = n(A) +n(B) - n(A U B)
Given that the sets have distincts elements, we have:
n(A U B) = 4 + 7 - 0
Evaluate
n(A U B) = 11
Hence, there are 11 elements are in (A U B)
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Answer: There are 11 elements are in (A U B)
Step-by-step explanation:
Find x, rounding to the nearest tenth (one decimal place)
Answer:
x= 27.5
Step-by-step explanation:
please simplify the answer
Answer:
[tex] 56\: in^2[/tex]
Step-by-step explanation:
Surface area of the net = 4* Area of one triangle + Area of square[tex] = 4*\frac{1}{2}*4*5 + (4)^2[/tex][tex] = 40 + 16[/tex][tex] = 56\: in^2[/tex]4x what = 364
please put the calculation
Answer:
91
Step-by-step explanation:
4 x 91 = 364
To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).
So, we do 364 ÷ 4 = 91
Hope this helps!
- profparis
annie has some sweets. teddy gives her some sweets and she now has 50% more . rosie gives her some sweets and she now has an extra 40% . annie now has 63 sweets. how many did she have originally
Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that:
Initially, she had n sweets.With the ones she got from Teddy, the amount became 1.5n.With the amount from Rosie, the amount became 1.4 x 1.5 x n.The final amount was of 63, hence:
1.4 x 1.5 x n = 63
n = 63/(1.4 x 1.5)
n = 30.
Annie had 30 sweets originally.
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The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented by this graph? Check all that apply.
f(x) = |x| + 2
f(x) = –|x| + 2
f(x) = |x| – 2
f(x) = |–x + 2|
f(x) = |–x| + 2
f(x) = –|x| – 2
f(x) = |x + 2|
The absolute value functions that contains the points are:
f(x) = |x| + 2f(x) = |-x| + 2Which could be the function represented by this graph?Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.
To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.
For example, for the first equation:
f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)f(0) = |0| + 2 = 2 so it has the point (0, 2)f(3) = |3| + 2 = 5 so it has the point (3, 5).The other option that also contains these 3 points is:
f(x) = |-x| + 2
f(-3) = |3| + 2 = 5 so it has the point (-3, 5)f(0) = |-0| + 2 = 2 so it has the point (0, 2)f(3) = |-3| + 2 = 5 so it has the point (3, 5).And all the other options can be trivially discarded (by evaluating them).
So the two correct options are:
f(x) = |x| + 2f(x) = |-x| + 2If you want to learn more about absolute value functions:
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What is the value of x?
A beverage company produces cans of lemonade. According to the label a can contains a volume of 375mL of lemonade. A consumer group tested this claim by measuring the volume of lemonade in 2,500 cans. They found that the volume was normally distributed with a standard deviation of 5mL and a mean of 372mL.
If a can is chosen at random, find:
P (its volume is ≥382mL)
The probability that the volume of a can chosen at random is ≥382 is 0.47725
Normal distribution probabilityProbability is the likelihood or chance that an event will occur. For the given question, we need to calculate the z value as shown;
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Given the following parameters
[tex]x=382mL\\\mu (mean)=372mL\\\sigma(S.D)=5mL[/tex]
Substitute
[tex]z=\dfrac{382-372}{5} \\z=\dfrac{10}{5}\\ z=2[/tex]
In order to calculate the probability that the volume of a can chosen at random is ≥382, we will look for (z≥2)
z≥2 according to probability table is equivalent to 0.47725
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Find the third, fourth, and tenth terms of the sequence describe by the rule below
A(n)=3+(n-1)(-2)
Please help ASAP, I need to get this done by midnight...
The third term, fourth term and tenth term are -1, -3, -15 respectively.
What is a sequence?A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.
Analysis:
For a sequence defined by the rule A(n) = 3 + (n-1)(-2)
Third term, n = 3
A(3) = 3 + (3-1)(-2) = -1
Fourth term, n = 4
A(4) = 3 + (4-1)(-2) = -3
Tenth term, n = 10
A(10) = 3 + (10-1)(-2) = -15
In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.
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Sally has 90 apples and she adds a double of what she subtracts. Now, she has 1/4 of 1000. How much does she add?
Answer:
I think it's 160...
Step-by-step explanation:
1/4 of 1000 is 250
250
- 90
____
160
Alison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Alison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?
a. 4
b 5
c 8
d 9
Answer:
9
Step-by-step explanation:
Answer:
4 large folders ( and 8 small folders....with $ 1 left over)
Step-by-step explanation:
x = small y = large folders
x+y >= 12 x >= 12-y
3x + 5y <= 45
3 (12-y) + 5y <=45
36 -3y + 5y <= 45
y <= 4.5 you cannot buy .5 of a large folder, so 4 large folders
In a lab, a substance was cooled by 6 degrees celsius each hour for 12 hours.
The total change in temperature was what?
Answer:
72 degrees 72° Celsius. It changed by 72 degrees.
Step-by-step explanation:
6 * 12 because it changed 6 degrees each hour for 12 hours
6 *
12
—-
72
Answer:
72 degree Celsius
Step-by-step explanation:
Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:
6 * 12 = 72
Jenny wants to start an after-school club, so she decides to survey the student body to determine which club would be the most popular: French Club, Architecture Club, or Anime Club. She decides (with Mrs. Howell's permission) to survey the first 25 students who show up to her class one day.
Does her survey comprise an accurate representation of the Reach student body? Why or why not?
Answer:
no because it just reaches one class, not the student body
Step-by-step explanation:
Which equation can be solved by using this system of equations?
StartLayout Enlarged left-brace 1st Row y = 3 x Superscript 5 Baseline minus 5 x cubed + 2 x squared minus 10 x + 4 2nd Row y = 4 x Superscript 4 Baseline + 6 x cubed minus 11 EndLayout
The equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4
How to determine the equation?The correct formats of the equations are:
y = 3x^5 - 5x^3 + 2x^2 - 10x + 4
y = 4x^4 + 6x^3 - 11
To determine the equation, we substitute 4x^4 + 6x^3 - 11 for y in the first equation.
So, we have:
4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4
Hence, the equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4
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A helicopter flies 125 miles west and 20 miles north and lands.
The helicopter flies back on a direct course.
What is its bearing?
A cube has side length 3 inches. A sphere has a radius of
3 inches. (Lesson 5-16)
a. Before doing any calculations, predict which solid has greater surface
area to volume ratio.
b. Calculate the surface area, volume, and surface area to volume ratio for
each solid.
I predict that the solid with the greater surface area to volume ratio would be the cube.
The volume of the cube is 27in³
The surface area of the cube is
The ratio of surface area to volume for the cube is 2.
The volume of the sphere is 113.14 in³
The surface area of the sphere is 113.14 in²
The ratio of surface area to volume is 1.
What is the surface area and volume of each solid?The volume of a cube = side length³
3³ = 27 in³
The surface area of a cube = 6a²
a = side length
6 x (3²) = 54 inches²
Ratio of surface area to volume = 54 / 27 = 2
The volume of the sphere= 4/3πr³
4/3 x 22/7 x 3³ = 113.14 in³
The surface area of the sphere = 4πr²
4 x 22/7 x 3² = 113.14 in²
Ratio of surface area to volume = 113.14 / 113.14 = 1
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which of the following is a statement of the triangle inequality theorem
Answer:
A
Step-by-step explanation:
Pick any two sides....their sum must be greater than the third side....
a+b > c
a+c > b
c + b > a
Help please!
preform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use size for measurements of very large or very small quantities (e.g use kilometers per year for sea floor apeading.) intercept scientific notation that has been generated by technology
Scientific Notation is EASY.
Just move the decimal to the right if it is positive:
6.2 x 10¹ = 62
6.2 x 10² = 620
6.2 x 10³ = 6,200
6.2 x 10⁴ = 62,000
6.2 x 10⁵ = 620,000
6.2 x 10⁶ = 6,200,000
Move the decimal to the left if it is negative:
6.2 x 10⁻¹ .62
6.2 x 10⁻² = .062
6.2 x 10⁻³ = .0062
6.2 x 10⁻⁴ = .00062
6.2 x 10⁻⁵ = .000062
6.2 x 10⁻⁶ = .0000062
What about about 6.2 x 10⁰?
6.2 It wouldn't change location.
I hope this helps!
Any ideas for solving this beast
Answer:
option c
Step-by-step explanation:
the perimeter of a rectangle is 20 cm and it's area is 24cm^2 find the length and breath of the rectangle
Answer:
length = 6cm , breadth = 4cm
Step-by-step explanation:
Let's assume length = l
breadth = b
Given perimeter of a rectangle = 20 cm
2(l+b) = 20
l+b = 20/2
l+b = 10
l = 10 - b____(1)
Given area of rectangle = 24 cm²
l×b = 24____(2)
(1) in (2) => l × b = 24
(10-b) × b = 24
10b - b² = 24
10b = 24 + b²
0 = b² - 10b + 24
b² - 10b + 24 = 0
b² + 6b + 4b + 24 = 0
b(b+6) +4(b+6) = 0
(b+4)(b+6) = 0
b+4 = 0. &. b+6 = 0
b = -4. b = -6
breadth must be less than length and it should be positive
So b = 4 cm
b=4 in (1)
(1)=> l = 10 - b
l = 10 - 4
l = 6
The cylinder in a sphere have the same radius for the height of the cylinder is equal to the diameter of the spear select the expression that describes the volume of the cylinder that is not occupied by the sphere
The volume of the cylinder that is not occupied by the sphere is 2πr³/3
Since the object is a sphere in a cylinder, we need to know the volume of sphere and cylinder.
What is volume of a cylinder?The volume of a cylinder is given by V '= πr²h where
r = radius of cylinder and h = height of cylinder.Since the height of the cylinder equals the diameter of the sphere, h = 2r
So, V' = πr²h
V' = πr² × 2r
V' = 2πr³
What is volume of sphere?
The volume of a sphere of radius r is given by V = 4πr³/3
Volume of cylinder not occupied by sphere
The volume of the cylinder not occupied by the sphere is V" = V' - V
= 2πr³ - 4πr³/3
= (6πr³ - 4πr³)/3
= 2πr³/3
So, the volume of the cylinder that is not occupied by the sphere is 2πr³/3
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asap need help quick
Answer:
Answer:11
Step-by-Step Answer:
When we multiply 11 with 1\2 then thier answer will be 11\2
Karen needs to make a total of 60 deliveries this week. So far she has completed 33 of them What percentage of her total deliveries has Karen completed?
Answer:
55%
Step-by-step explanation:
(33/60) * 100
leave a comment if u need further explanation
Kenji is using walnuts to bake muffins and granola for his restaurant. each batch of muffins
1
pound of walnuts. he needs 2 pounds of walnuts to make granola. kenji can use up
2
to 8 pounds of walnuts and still have enough for baking tomorrow.
uses
let b represent the number of batches of muffins kenji makes.
write an inequality that represents the situation.
Answer:
Step-by-step explanation:
1/2b + 2 ≤ 8
b ≤ 12
Answer:
Step-by-step explanation:
any help is great find the missing length?
Answer:
3Step-by-step explanation:
Similar = proportional
solve with an equation
12 : 9 = 4 : x
x = 4 * 9 : 12
x = 3
The coordinates (1, 1), (1, 3), (3, 3), and (x, y) form a square when graphed on a coordinate plane. Which ordered pair would be the fourth vertex of the square? A (3, 1) B (1,3) C (3,5) D (3, 0
)
Answer:
3,1
....................................
28.4.2 Test (CST): Transformations, Congruence, and Similarities, Part 2
Quadrilateral RUST has a vertex at R (1,5).
T
S
What are the coordinates of R'after the translation (x, y) → (x+1, y-1),
Answer:
R'(2,4)
Step-by-step explanation:
When doing translations you subtract or add within the coordinates like a normal problem.
If it helps you, write it as seperate equations like:
1-1 and 5-1
Hope that helps ✓
Given a line with slope = −6and passing through (−5,−9) , which of the following is the correct point-slope equation of the line? y−9=−6(x−5
The equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)
Equation of a lineThe equation of a line in pint slope form is expressed as:
y - y1 = m(x-x1)
where
m is the slope = -6
(x1, y1) is the point = (-5, -9 )
Substitute into the formula
y - (-9) = -6(x -(-5))
y +9 = -6(x+5)
Hence the equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)
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