A function assigns the values. The average rate of change for the given function g(x) is 1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The average rate of change of a function is given by the formula,
Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]
Where a is the lower limit and b is the upper limit.
Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,
a = 0
g(a) = 0²+10(0)+20 = 20
b = -9
g(b) = (-9)²+10(-9)+20 = 11
The average rate of change for the function g(x), can be written as,
[tex]\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1[/tex]
Hence, the average rate of change for the given function g(x) is 1.
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A fish tank has 240240240 quarts of water. Levi adds another 120120120 quarts to the tank. How many gallons of water are in the fish tank? gallons
The 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
We have a fish tank has 240 quarts of water.
Levi adds another, 1201 quarts to the tank.
Total water in the tank = 240 + 120 = 360 quartz
To convert quartz to gallon, divide by 4
Total water in the tank = 360/4 = 90 gallons
Thus, the 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.
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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74 degrees with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
HOPE IT HELP (≧▽≦)(≧▽≦)(≧▽≦)
Answer:
Step-by-step explanation:
the answer is wrong its 34.3
Bag a contains $3$ white and $2$ red balls. bag b contains $6$ white and $3$ red balls. one of the two bags will be chosen at random, and then two balls will be drawn from that bag at random without replacement. what is the probability that the two balls drawn will be the same color? express your answer as a common fraction
Answer:
9/20
Step-by-step explanation:
i tried and got it wrong. it is 9/20
Jayson uses a hose to fill a 45-gallon tank with water in 15 minutes. How many gallons of water does Jayson add to the tank per minute?
(U^3 v^4)^4 * (2u^4 v^2)^2
Simplify
Show all work
I give brainliest ,.
1) apply exponent to the terms inside the bracket - multiply exponents
[tex](u^3v^4)^4\\\\(u^1^2v^1^6)[/tex]
[tex](2u^4v^2)^2\\\\(4u^8v^4)[/tex]
2) multiply the two terms together - add exponents
[tex](u^1^2v^1^6)(4u^8v^4)\\\\4(u^1^2^+^8)(v^1^6^+^4)\\\\4u^2^0v^2^0[/tex]
María y Sara se preparan para una competencia de atletismo. María recorre tres octavas partes de la distancia total de la competencia y Sara las dos quintas partes.
¿Qué fracción representa el total de la distancia recorrida por las dos atletas?
A.
140
B.
640
C.
2440
D.
3140
Answer:
D. 31/40
Step-by-step explanation:
3/8 + 2/5 =
15/40 + 16/40 =
31/40
What should frankie consider before buying the car? check all that apply. what he will be giving up if he spends $800 on the car the cost to maintain (oil, tires, gas, brakes) and insure the car how many of his friends have cars his short- and long-term financial goals if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
Frankie should consider these factors before buying the car including the following:
What are the factors to consider before buying a car?In addition to quality, cost of ownership, payment impact, and reliability, Frankie should consider these factors before buying the car:
b. the cost to maintain (oil, tires, gas, brakes) and insure the car.
d. his short- and long-term financial goals.
e. if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs.
Thus, the most important factors that Frankie should consider before buying the car are listed above.
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Answer:
A, B, D, E
Step-by-step explanation:
-what he will be giving up if he spends $800 on the car
-the cost to maintain (oil, tires, gas, brakes) and insure the car
-his short- and long-term financial goals
-if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
For an A.P., a= 25, d = -3. Find the value of n if S=112
Answer:
n = 7.
Step-by-step explanation:
Sum S of an AP = (n/2)[2a + d(n - 1)]
112 = (n/2)[2*25 - 3(n -1)]
n/2 (53 - 3n) = 112
n(53 - 3n) = 224
-3n^2 + 53n - 224 = 0
3n^2 - 53n + 224 = 0
(3n - 32 )(n - 7 ) = 0
n = 7, 32/3
So n must be 7 as its a whole number.
To the nearest square centimeter, how many square centimeters of the plate are covered by the napkin? 16 square centimeters 30 square centimeters 56 square centimeters 60 square centimeters
The area covered by the napkin is 56 square centimeters
How to determine the area covered by the napkin?This is calculated using:
[tex]Area = \frac 12 ab\sin(C)[/tex]
Where:
a = 15, b = 5 and C = 30
So, we have:
[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]
Evaluate the product
Area = 56.25
Approximate
Area = 56
Hence, the area covered by the napkin is 56 square centimeters
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Answer: 56
Step-by-step explanation:
that’s c on 2023 edge
What's the sequence and drawing scheme of f(x)=x^(1/3)?
Can some one help me
Answer:
The side b is 2√6 unit
Step-by-step explanation:
in right triangle ΔABC,∠C=900,a=5,c=7;c is
the side opposite to the right angle, so it is hypotenuse,
aandb are the adjacent sides of the right angle .
We know in right triangle ΔABC,a²+b²=c²
∴5²+b²=7²or
b²=49−25=24
∴√b²=√24
b=√24
b=2√6
. The side b is 2√6 unit [Ans]
AB = 7 cm
CB = 5 cm
AC = 2√6cm
According to Pythagoras Theorem,
AC²=BC²+AB²
(2√6)²=5²+7²
24=25+49
24=74
Hence, it is not a right-angled triangle ABC.
In the shape below, find the value of d, rounded to one decimal place.
Answer: 128.7
Step-by-step explanation:
Can someone help me?
Answer:
D. plain quadrilateral
Step-by-step explanation:
This is a vocabulary question.
__
A parallelogram is a quadrilateral (4-sided plane figure) with both pairs of opposite sides parallel. A rhombus is a special case of a parallelogram in which the sides have equal lengths.
A trapezoid is quadrilateral with exactly one pair of parallel sides. An isosceles trapezoid is one that has equal-length non-parallel sides.
__
The given figure has no parallel sides, so is none of the above. It is a ...
plain quadrilateral
Please help Geometry
Answer:
the answer is x=16
Step-by-step explanation:
trust me bro
Given g(x) =(x² +5)/3x find g(p + 4) Please answer with work
Answer:
g(p + 4) = [p² + 8p + 21 / 3p + 12]
Step-by-step explanation:
Function :
g(x) = (x² + 5) / 3x
Substitute x = p + 4 :
⇒ g(p + 4) = [(p + 4)² + 5] / 3(p + 4)
⇒ g(p + 4) = [p² + 8p + 16 + 5 / 3p + 12]
⇒ g(p + 4) = [p² + 8p + 21 / 3p + 12]
Race drivers must complete 200 laps in the Daytona 500. if Ticky Bobby only completed 57% of the race, how many laps did he complete?
Answer:
114 laps
Step-by-step explanation:
Multiply 200 x 57% :
200 x 57%200 x 57/1002 x 57114 lapsSilvia was asked to find the Sin(D). her response was 12/15. the teacher said Silvia answer was incorrect what did she do wrong? how can she fix it?
Other than temperature, state three examples where similar averages are associated with very different distributions. go deeper with one, and discuss how that might work in more detail
The examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams.
What is average?It should be noted that average simply means the mean of a given set of numbers that are given in a data.
In this case, the examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams
Let's use examination results to butress our point. A good average examination results mean that the students have a good understanding of what was covered in the subject.
Let's say the average pass mark for a subject is 50. In this situation, someone who scores 50 and above is believed to understand the subject and has a pass mark.
On the other hand, someone who scores 49.8 is considered to have failed the class even though the score is identical. This shows the case of variability and how similar average can mean different things.
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Please help with this problem about circles and tangents. solve for X.
As tangents from a single point to the circle are equal in measure
AC=BCABC is isosceles
<A=60°
We know the radius hits any tangent on right angles
So
<PAC=90°<PAD=90-60=30°Now
cosØ=Base/Hypotenusecos30=6/x√3/2=6/x√3x=12x=12/√3accurate value
x=6.9Answer:
[tex]x=4\sqrt{3}[/tex]
Step-by-step explanation:
If two tangents to a circle meet at one exterior point, the tangent segments are congruent. Therefore, AC = BC
This means that ΔABC is an isosceles triangle and so
∠ABC = ∠BAC = 60°
The tangent of a circle is always perpendicular to the radius.
Therefore, ∠PAC = 90°
With this information, we can calculate ∠PAD:
⇒ ∠PAD + ∠BAC = ∠PAC
⇒ ∠PAD + 60° = 90°
⇒ ∠PAD = 90° - 60°
⇒ ∠PAD = 30°
We now have a side length and an angle of ΔPAD (shown in orange on the attached diagram). So using the cos trig ratio, we can calculate [tex]x[/tex]:
[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = ∠PAD = 30°A = AD = 6H = AP = [tex]x[/tex][tex]\implies \cos(30^{\circ})=\dfrac{6}{x}[/tex]
[tex]\implies x=\dfrac{6}{\cos(30^{\circ})}[/tex]
[tex]\implies x=\dfrac{6}{\frac{\sqrt{3}}{2}}[/tex]
[tex]\implies x=4\sqrt{3}[/tex]
Shenika factored the polynomial completely. what is the value of a? 5x3 35x2 6x 42 (5x2 a)(x b) 1 5 6 7
Factorising the polynomial 5x³ + 35x² + 6x + 42, the value of A is 6.
Factorisation of polynomialFactorising a polynomial simply means to decompose the polynomial into a product of two or more polynomials.
Therefore, let's factorise 5x³ + 35x² + 6x + 42 and find the value of A
(5x² + A)(x + B)
Therefore,
5x³ + 35x² + 6x + 42
5x³ + 6x + 35x² + 42
x(5x² + 6) + 7(5x² + 6)
Therefore,
(5x² + 6)(x + 7)
Therefore, the value of A is 6
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Find the value of x.
Answer:
Step-by-step explanation:
Comment
The general formula for a tangent and secant is
tangent^2 = external segment * full length of the secant.
Givens
tangent length = x
external segment = 7
secant length = 7+ 21
Formula
x^2 = 7 * (7 + 21) Remove brackets
x^2 = 7 * 28 Combine
x^2 = 196 Take the square root of both sides
√x^2 = √196
x = 14
Answer: x = 14
Consider a situation in which p(x) = and p(y) = . if p(x and y) is = , which best describes the events? they are independent because p(x) · p(y) = p(x and y). they are independent because p(x) p(y) = p(x and y). they are dependent because p(x) · p(y) = p(x and y). they are dependent because p(x) p(y) = p(x and y).
Considering the given probabilities, it is found that the correct option about whether the events are independent is given as follows:
p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).
What are independent events?Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Researching this problem on the internet, the probabilities are given as follows:
[tex]P(X) = \frac{4}{5}, P(Y) = \frac{1}{4}, P(X \cap Y) = \frac{1}{5}[/tex]
Hence:
[tex]P(X)P(Y) = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} = P(X \cap Y)[/tex]
Hence the events are independent and the correct option is given by:
p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).
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- Which expression is equivalent to
2√48-(2+√12) (5-√12)?
0-EIS
A. 2√3+2
B. 2√3-2
34
C. 4√3+17
p. 4√3-17
Swoled
4.
Answer:
A.
Step-by-step explanation:
2×sqrt(48) - (2 + sqrt(12))(5 - sqrt(12))
2×sqrt(16×3) - (2 + sqrt(4×3))(5 - sqrt(4×3))
2×4×sqrt(3) - (2 + 2×sqrt(3))(5 - 2×sqrt(3))
8×sqrt(3) - (10 - 4×sqrt(3) + 10×sqrt(3) - 4×3)
8×sqrt(3) - 10 - 6×sqrt(3) + 12
2×sqrt(3) + 2
The area of a square is 17 square feet which measure is closest to the length of one side of the square
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
As we know, Area of a square can be represented as :
[tex]\qquad \sf \dashrightarrow \:area = side {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:a = s {}^{2} [/tex]
now, we have been given that area of a particular square is 16 square feet. so, let's calculate its sides
[tex]\qquad \sf \dashrightarrow \:s {}^{2} = 17[/tex]
[tex]\qquad \sf \dashrightarrow \:s = \sqrt{17} [/tex]
[tex]\qquad \sf \dashrightarrow \:s \approx4.12 [/tex]
so, the closest value is : B. 4.1 feet
Find the vertex of this parabola. y = -2x2 4x 12 a. (-4, 12) b. (-2, 6) c. (3, 6) d. (1, 14)
We will see that the vertex of the quadratic equation is at (1, 14)
How to find the vertex of a quadratic function?For a general quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The x-component of the vertex is at:
[tex]x = -b/2a[/tex]
In this case, we have:
[tex]y = -2x^2 + 4x + 12[/tex]
Then the vertex is at:
[tex]x = -4/(2*-2) = 1[/tex]
To get the y-component of the vertex, we need to evaluate in x = 1.
[tex]y = -2*1^2 + 4*1 + 12 = -2 + 4 + 12 = 14[/tex]
Then we conclude that the vertex is at (1, 14), so the correct option is d.
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We have a part-whole ratio of 2 : 10. How can we represent this ratio as a percent?
Answer:
20%
Step-by-step explanation:
2:10 = 2/10 = 20/100 = 20%
Mr. and Mrs. Nozaki are moving from Riverside to Prarieton. The distance from their old house to their new house is 1003 miles. If their car gets 23.6 miles per gallon, how many gallons of gas will they need for the trip?
The total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.
What is distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have total distance between from their old house to their new house:
d = 1003 miles
The car travel 23.6 miles per gallon
So the total amount of the fuel needed = 1003/23.6 = 42.5 gallons
42.5 gallons fuel will be required to travel 1003 miles
For the return trip (considering 23.6 miles per gallon) the same amount of fuel will be needed.
So the total fuel needed including roundtrip = 42.5×2 = 85 gallons
Thus, the total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.
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solve this system equation
y= 3x
2y+x=14
Step-by-step explanation:
When y = 3x then 2(3x) + x =14
6x + x = 14
7x=14
x=2 in sub eq 1
y=3(2)=6
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
Model each of Mr. Nicholson’s salary options with a recursive sequence that includes his potential earnings for the first three years of employment.
According to the first three terms of each sequence, can you conclude that there is a significant difference in Mr. Nicholson’s potential earnings with each increase option? Use complete sentences to explain your conclusion.
Answer:
B
Step-by-step explanation:
Just read and you will see why i say that
Can you help me with this
Answer:
Step-by-step explanation:
3x + 8 = 4x + 4
-x + 8 = 4
x = 4
answer is A
