Answer:
g(f(-7) = -6
Step-by-step explanation:
1) a composite function is a function inside of a function where you first must look at the inside function before the outside function
2) the inside function we must first look at is f(-7) and visually compare the function to the y = f(x) graph where x = -7
3) where is x = -7 is when y = -3 so than stated in the rules of composite functions, the function then becomes replaced with the y-value
4) the function then becomes g(-3) and one must look at the y = g(x) function and g(-3) = -6
What is the result when the number 89 is decreased by 9.6%?
Answer:
80.456 is a 9.6% decrease of 89.
Step-by-step explanation:
Answer:
Step-by-step explanation:
89×(1-9.6%)
=89×(1-0.096)
=89×0.904
=80.456
≈80
the answer is 80 if you have to round it.
shooting free throws. in college basketball games, a player may be afforded the opportunity to shoot two consecutive foul shots (free throws). a. suppose a player who makes (i.e., scores on) 80% of his foul shots has been awarded two free throws. if the two throws are considered independent, what is the probability that the player makes both shots? exactly one? neither shot? b. suppose a player who makes 80% of his first attempted foul shots has been awarded two free throws and the outcome on the second shot is dependent on the outcome of the first shot. in fact, if this player makes the first shot, he makes 90% of the second shots; and if he misses the first shot, he makes 70% of the second shots. in this case, what is the probability that the player makes both shots? exactly one? neither shot?
For the given scenario: the Probability of making both shots are A. 0.64 and B. 0.72
a) If a player makes 80% of his foul shots, the probability of making a single foul shot is 0.8. Since the two shots are considered independent events, the probability of making both shots is the product of the individual probabilities.
Therefore, the probability of making both shots is 0.8 * 0.8 = 0.64.
To calculate the probability of making exactly one shot, we need to consider two scenarios: making the first shot and missing the second, or missing the first shot and making the second. Each scenario has a probability of 0.8 * 0.2 = 0.16.
Therefore, the probability of making exactly one shot is 0.16 + 0.16 = 0.32.
Similarly, the probability of missing both shots is 0.2 * 0.2 = 0.04.
b) In this case, the outcome of the second shot depends on the outcome of the first shot. If the player makes the first shot (with a probability of 0.8), the probability of making the second shot is 0.9.
Therefore, the probability of making both shots is 0.8 * 0.9 = 0.72.
If the player misses the first shot (with a probability of 0.2), the probability of making the second shot is 0.7.
Therefore, the probability of making exactly one shot is 0.2 * 0.7 = 0.14.
Since there are only two possible outcomes (making both shots or making exactly one shot), the probability of neither shot being made is 1 - (0.72 + 0.14) = 0.14.
Therefore, for the given scenario:
a) Probability of making both shots: 0.64
Probability of making exactly one shot: 0.32
Probability of missing both shots: 0.04
b) Probability of making both shots: 0.72
Probability of making exactly one shot: 0.14
Probability of missing both shots: 0.14
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Solve by factorization
8+7x-x^2=0
Answer:
x = - 1, x = 8
Step-by-step explanation:
Given
8 + 7x - x² = 0 ( multiply through by - 1 and arrange into standard form )
x² - 7x - 8 = 0 ← in standard form
(x - 8)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 8 = 0 ⇒ x = 8
-95=14x-7+30x
plz show work ty :)
Answer:
x = -2
Step-by-step explanation:
-95= 14x - 7 + 30x (collect like terms)
-95 = 44x - 7 (add 7 on each side)
-88 = 44x (divide by 44 on each side)
-2 = x
If a line has a slope of -2/5 and a y-intercept of 9,
what is the equation
Answer:
y = -2/5x + 9
Step-by-step explanation:
The slope will always be before the x. And intercept will always go after the slope. If your intercept is negative, remember to write it as x-9 rather than x+9.
And you'll always want to add the y = at the beginning
what is 2(5+34-67/45*43)^2 equal to?
The value of the give expression is \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴
Evaluating an ExpressionFrom the question, we are to determine the value of
2(5+34-67/45*43)^2
This can be written as
\(2 (\frac{5+34-67}{45 \times 43 })^{2}\)
First, we will simplify the bracket
\(2 (\frac{-28}{1935 })^{2}\)
Then, we get
\(2 \times \frac{-28}{1935 }\times \frac{-28}{1935 }\)
= \(\frac{1568}{3744225}\)
= \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴
Hence, the value of the give expression is \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴
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Connor left his house for work and was gone 4 hours. He spent a total of
hour driving to and from work and didn't go anywhere else. How long was he
at work?
A. 4 hours
B. 3 hours
c. 4 hours
D. 3 hours
HELP FAST GIVING HIGHEST AMOUNT OF POINT
Answer:
4 hours
Step-by-step explanation:
he was gone for 5 hours, he spent an hour driving.
5 - = 4 hours at work.
Answer:
4 hours
Step-by-step explanation:
says he was gone 4 hours, he was at work
A study of child care enrolled 1364 infants and followed them through their sixth year in school. Later, the researchers published an article in which they stated that "the more time children spent in child care from birth to age four-and-a-half, the more adults tended to rate them, both at age four-and-a-half and at kindergarten, as less likely to get along with others, as more assertive, as disobedient, and as aggressive." $^{31}$ (a) Is this an observational study or an experiment? Justify your answer. (b) What are the explanatory and response variables? (c) Does this study show that child care causes children to be more aggressive? Explain.
(a) Is this an observational study or an experiment?
ans=Observational study – no treatment was imposed
(b) What are the explanatory and response variables?
ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior
d) Does this study show that child care causes children to be more aggressive? Explain.
No. Observational studies cannot show cause-and-effect
Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.
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An equilateral triangle is similar to a scalene triangle.1) Always2) never3) sometimes
Option 3) Sometimes is the correct answer, Sometimes an equilateral triangle is similar to a scalene triangle.
If the respective sides are proportional and the corresponding angles are congruent, two triangles are comparable. An equilateral triangle has three congruent sides and three congruent angles, so any triangle that is similar to an equilateral triangle must also have three congruent angles. However, a scalene triangle has no congruent sides and no congruent angles, so it is possible for a scalene triangle to be similar to an equilateral triangle only if it has the same angle measurements as an equilateral triangle, but with different side lengths. Therefore, a scalene triangle can be similar to an equilateral triangle, but it is not always the case.
In general, if two triangles are similar, it means that they have the same shape but possibly different sizes. In the case of an equilateral triangle and a scalene triangle, if they are similar, then it means that the scalene triangle has the same angles as the equilateral triangle, but its sides are of different lengths. So it is possible for a scalene triangle to be similar to an equilateral triangle, but not in all cases.
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Graph the solutions of the given system of linear inequalities.
y < 3x-2
y ≤ x + 1
Answer:
pls upload photo for your question
How do you figure this out??
Answer:
287 inches cubed
Step-by-step explanation:
You first find the volume of each individual prism and then add them together.
The volume formula for prisms is Base x width x height. The smaller prism is 1x7x5 which is 35 inches cubed and the larger prism is 7x9x4 which is 252. 35+252=287
Choose the graph of the following function:
f(x) = sin(1/2= x)
The graph of the function f(x) = sin(1/2x) is attached accordingly. It is to be noted that it is erroneous to include an equal sign within the parenthesis, that is sin(1/2= x). Hence the correct function is f(x) = sin(1/2x).
What is a graphed function?A graphed function simply means drawing a graph that is representative of a mathematical function.
What is the interpretation of the graphed function?The task of the mathematician here is to first redefine the formula such that one can identify the:
AmplitudePeriodPhase shift; andVertical shift.The form to be used is:
a sin(bx - c) + d where
a = 1
b= 1/2
c =0
d =0.
What is the Amplitude?The absolute value of the amplitude |a| is given as
Amplitude = 1
Using 2π/ |b|
Lets substitute b with 1/2
thus we have
2π/ |1/2|
= 4π
How to solve for the Phase shift?With the aid of the formula, c/b
Given that c = 0
Hence, c/b which is 0/1/2
Phase shift = 0
How to solve for vertical shift?The vertical shift is simply given as zero (0)
Thus all the properties of the trigonometric function are:
Amplitude = 1
Period = 4π
Phase Shift = 0
Vertical Shift = 0
See the attached graph.
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Kitiya had 52 baht. Nyaan had 32 baht. They shared the cost of gift equally. Now,Kitiya has 5 times as much as nyaan left. How much did the gift cost?
As per the unitary method, the cost of the gift is 72 baht.
Let's begin by assigning a variable to represent the cost of the gift. Let's call it "x" baht.
According to the problem, Kitiya initially had 52 baht, and Nyaan had 32 baht. They shared the cost of the gift equally, which means each of them contributed an equal amount towards the gift.
Let's represent Kitiya's remaining money as "5r" baht, where "r" represents Nyaan's remaining money.
Based on this information, we can set up the following equation:
52 - (x/2) = 5(32 - (x/2))
Now, let's solve this equation step by step to find the value of "x."
Distribute the multiplication on the right side of the equation:
52 - (x/2) = 160 - 5(x/2)
Simplify both sides of the equation:
52 - x/2 = 160 - 5x/2
To eliminate fractions, we can multiply both sides of the equation by 2:
2(52 - x/2) = 2(160 - 5x/2)
104 - x = 320 - 5x
Combine like terms:
4x - x = 320 - 104
3x = 216
Solve for x by dividing both sides of the equation by 3:
x = 216/3
x = 72
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What is the answer please need help
Answer:
130
Step-by-step explanation:
so you take 35+95=130
then you take 180-130=50 to get the other angle in the triangle
then to get the missing angle you do 180-50=130
so that is the missing angle
12.4 worksheet mathematics
Answer:
ok. Where is the Question
what expression can be used to find 7 (-6 1/8)
Answer:
-42
Step-by-step explanation:
because the 6 and 8 dont match
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
Can you guys figure out the linear function for this table, please?
Answer:
y = 6x + 10
Step-by-step explanation:
This is because the slope is 6 and the y intercept is 10, therefore the answer is y = 6x + 10
A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of the ring-shaped solid that remains.
The volume of the ring-shaped remaining solid is 1797 cm³.
The volume is the total space occupied by an object.
The volume of a sphere of radius r units is given as (4/3)πr³.
The volume of a cylinder with radius r units and height h units is given as πr²h.
In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.
The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.
Therefore, the volume of the ring-shaped remaining solid is given as,
= (4/3)π(9)³ - π(5)²(18) cm³,
= π{972 - 400} cm³,
= 572π cm³,
= 1796.99 cm³ ≈ 1797 cm³.
Therefore, the volume of the ring-shaped remaining solid is 1797 cm³.
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Here is the. Questions wich point is located
Answer:
c
Step-by-step explanation:
c is the point (2,3) in the question
A weather forecasting website indicated that there was a 30% chance of rain in a certain region. Based on that report, which of the following is the most reasonable interpretation?
A. None of the above interpretations are reasonable.
B. There is a 0.30 probability that it will rain somewhere in the region at some point during the day.
C. 30% of the region will get rain today
D. In the region, it will rain for 30% of the day.
Based on the given information, the correct answer would be (B) "There is a 0.30 probability that it will rain somewhere in the region at some point during the day.
The probability of an occurrence is a measure of how likely that event will occur.
The probability of an event varies between 0 and 1 or 0 and 100 percent.
The statement that "A weather forecasting website indicated that there was a 30% chance of rain in a certain region" implies that there is a probability of 0.3 or 30 percent that it will rain in the specified area.
This does not provide information about the duration of rain or the specific areas within the region that will experience rainfall.
Therefore, interpretation B is the most reasonable as it correctly captures the meaning of the given 30% chance of rain statement, indicating that there is a probability of rain occurring somewhere in the region at some point during the day.
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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
What is the product of (6 - 41) and its conjugate?
Answer:
nvm I got that wring
a piece of wire 22cm long is sent into an arc of a circle of radius 4cm . what angle does the wire subtend at the centre of the circle
\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ s=22\\ r=4 \end{cases}\implies 22=\cfrac{\theta \pi (4)}{180}\implies 22=\cfrac{\theta \pi}{45} \\\\\\ (22)(45)=\theta \pi \implies \cfrac{(22)(45)}{\pi }=\theta \implies 315.13\approx \theta\)
Evaluate
14
P
- 4 - 2h when p=1 and h=4.
Answer:
Step-by-step explanation:
Putting values into the equation
14(1) - 4 - 2(4)
14 - 4 - 8
10 - 8 = 2
A car travels 62 miles per hour. At this rate, how far will the car travel in 6 hours?
Answer:
372 miles
Step-by-step explanation:
You need to multiply 62 and 6
Answer:
372
Step-by-step explanation:
just mulitple
i hope thi shelps
BRAINLIEST PLSSS
Simplify: 27w + 5w math
Answer: 32w
Step-by-step explanation:
plsss helppppppppppppppppppppppppppppppppppppppppppp
Solution 1 :
We calculate the third angle of the triangle (not x) : 180 - 80 = 100
(Note : the angle is supplementary to the 80 degree angle, so the sum of them is 180)
Now we calculate x, and since we know 3 angles in a triangle add up to 180 :
180 - 30 - 100 = 50.
Solution 2 :
If there is an angle that is outside the triangle but is supplementary to one of the angle in the triangle, it will be equal to the sum of the 2 angles which are NOT supplementary to it.
Using this, we can say 80 is equal to 30 + x (because those 2 angles are not supplementary)
So, we can find x by taking 80-30 = 50.
Encontrar la magnitud de la velocidad angular de un disco de 0.75 rev/así como la magnitud de su desplazamiento angular Si su movimiento duró 180 segundos
Answer:
La magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Step-by-step explanation:
Podemos encontrar la magnitud de la velocidad angular (ω) del disco con la siguiente ecuación:
\( \omega = \frac{\theta}{t} \)
En donde:
θ: es el desplazamiento angular = 0.75 rev
t: es el tiempo = 180 s
Primero debemos cambiar las unidades del desplazamiento angular de revoluciones a radianes:
\( \theta = 0.75 rev*\frac{2\pi rad}{1 rev} = 4.71 rad \)
Entonces, la velocidad angular es:
\( \omega = \frac{4.71 rad}{180 s} = 0.026 rad/s \)
Por lo tanto, la magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Espero que te sea de utilidad!
Please answer correctly! I will Mark you as Brainliest!
Answer:
Try 8 if it's wrong sorry
Step-by-step explanation: