Answers
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
Related Questions
Find the exact values of the six trigonometric ratios of the angle in the triangle 160 and 164
Answers
Answer:
[tex]\sin \theta = \frac{40}{41}[/tex], [tex]\cos \theta = \frac{3}{82}[/tex], [tex]\tan \theta = \frac{80}{3}[/tex], [tex]\cot \theta = \frac{3}{80}[/tex], [tex]\sec \theta = \frac{82}{3}[/tex], [tex]\csc \theta = \frac{41}{40}[/tex]
Step-by-step explanation:
We notice that figure represents a right triangle, the hypotenuse has a length of 164 units and the leg opposite to [tex]\theta[/tex] has a length of 160 units. The sine of [tex]\theta[/tex] is:
[tex]\sin \theta = \frac{160}{164}[/tex]
[tex]\sin \theta = \frac{40}{41}[/tex]
The leg adjacent to [tex]\theta[/tex] is determine by the Pythagorean Theorem:
[tex]r = \sqrt{164^{2}-160^{2}}[/tex]
[tex]r = 6[/tex]
Then, the cosine of [tex]\theta[/tex] is:
[tex]\cos \theta = \frac{6}{164}[/tex]
[tex]\cos \theta = \frac{3}{82}[/tex]
Lastly, we determine the remaining trigonometric ratios by using these identities:
[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex] (1)
[tex]\cot \theta = \frac{1}{\tan \theta}[/tex] (2)
[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (3)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (4)
If we know that [tex]\sin \theta = \frac{40}{41}[/tex] and [tex]\cos \theta = \frac{3}{82}[/tex], then the trigonometric ratios are, respectively:
[tex]\tan \theta = \frac{\frac{40}{41} }{\frac{3}{82} }[/tex]
[tex]\tan \theta = \frac{80}{3}[/tex]
[tex]\cot \theta = \frac{1}{\frac{80}{3} }[/tex]
[tex]\cot \theta = \frac{3}{80}[/tex]
[tex]\sec \theta = \frac{1}{\frac{3}{82} }[/tex]
[tex]\sec \theta = \frac{82}{3}[/tex]
[tex]\csc \theta = \frac{1}{\frac{40}{41} }[/tex]
[tex]\csc \theta = \frac{41}{40}[/tex]
Help a birb. Get a crown.
Answers
Answer:
6.
in 24/4=6,
24 is the dividend
4 is the divisor
6 is the quotient
in 4*6 = 24,
4 and 6 are the factors
24 is the product
7. division is an operation on two numbers to find the quotient
8. fact family is a group of related facts using the same numbers
9. multiplication is an operation on two numbers to find the product
Answer:
6. 24/4 = 6
7.24
8.4
9.6
4 * 6 = 24,
4 și 6 sunt factorii
24 este produsul
7. împărțirea este o operație pe două numere pentru a găsi coeficientul
8. familia de fapte este un grup de fapte conexe care utilizează aceleași numere
9. multiplicarea este o operație pe două numere pentru a găsi produsul
Step-by-step explanation:
Find the first four terms of the arithmetic sequence
where a1 = 2 and d = 5 (use formula)
Answers
Answer:
first four terms are 2, 7, 12, 17
Step-by-step explanation:
use this formula: [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d
where 'n' equals the position in the sequence the term is in and 'd' is the common difference
if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula
[tex]a_{1}[/tex] = 2
[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7
[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12
[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
First term = 2
Common difference = 5
First term = 2
Second term = 2 + 5 = 7
Third term = 7 + 5 = 12
Third term = 12 + 5 = 17
Thus,
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
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Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are nequals6 trials, each with probability of success (correct) given by pequals0.2. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.
Answers
Answer:
0.2 +-4
Step-by-step explanation:
The required probability is 0.8826 that the number x of correct answers is fewer than 4.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are n equals 6 trials, each with a probability of success (correct) given by p equals 0.2.
This is a direct application of Binomial distribution with sample size (n) = 6 and P(success) = p = 0.35
Let X be a Binomial random variable.
X ~ Binomial (n = 6, p = 0.35)
We have to determine, P(X < 4)
Using Excel we discover this probability,
⇒ P(X < 4) = P(X ≤ 3) = BINOMDIST (3, 6, 0.35, 1) = 0.8826
⇒ P(X < 4) = 0.8826
Therefore, the required probability is 0.8826
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Which diagram demonstrates the problem 4x 1/3
Answers
Answer:
B
Step-by-step explanation:
For which equations is 8 a solution? Select the four correct answers.
Answers
X - 4 = 10
3x = 24
X/8 = 1
Those 4 are the correct answers
Answer:
x+2=10
x-4=4
3x=24
x/8=1
Step-by-step explanation:
a store buys shirts for $12 each and marks up the price by %25. what is the price for a shirt at this store??
Answers
Answer:
Step-by-step explanation:
The price of the shirt at the store is $16
12 x .25 = 4
4 + 12 = 16
Which of the following is a true statement about the rhombus shown
Answers
Answer:
Option D is the correct answer
Step-by-step explanation:
Since, diagonals of a rhombus bisects at right angles.
[tex]\therefore m\angle STP = 90\degree \\ [/tex]
9514 1404 393
Answer:
D) m∠STP = 90°
Step-by-step explanation:
In general, the diagonals of a rhombus are different lengths and the corner angles are not 90°. (The exception in both cases is when the rhombus is a square.)
However, it is always true that the diagonals are perpendicular bisectors of each other, so all angles at T are 90°.
m∠STP = 90°
A five year old child receives an allowance of $1 each week. His parents promise him an annual increase of $2 per week. Write a formula for the child's weekly allowance in a given year.
Answers
what is the result of 54×18 written in standard form
Answers
Answer:
9.72 x 10^2
Step-by-step explanation:
Charlie can run 2 laps every 10 minutes and 4 laps every 28 minutes. How long will it take for Charlie to run 3 laps.
Answers
Answer:
19min
Step-by-step explanation:
Solve the proportion. 8/11 = 4/y + 2
Answers
Answer:
[tex]y=-\frac{22}{7}[/tex]
Step-by-step explanation:
For the right triangle shown, which equation is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x
Answers
Answer:
3.37
Step-by-step explanation:
x+37+16+90=180
x+143=180
×=180-143
x = 37
What is the solution to the equation represented by the model below?
x = negative 14
x = negative 2
x = 2
x = 14
Answers
Answer:
2x + 4
To model 2x+4, you need :
2 positive x-tiles to represent 2x.
4 positive unit tiles to represent 4.
3x+(-1)
To model 3x+(-1), you need :
3 positive x-tiles to represent 3x.
1 negative unit tile to represent (-1).
if its wrong sorry u can report me
Joshua rents an apartment in an all-brick building in the city. The value of the
belongings in the apartment is about $25,000. If Joshua wants to insure his
belongings while renting, how much will he have to pay for insurance per
year?
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
10.39 0.43 0.5
0.54
0.55 0.65 0.66 0.76
Suburb | 0.45 0.52 0.56 0.63 0.72 0.74 0.83 0.85
Rural 0.6 0.69 0.71 0.8 0.89 0.91 1
1.02
City
A. $107.50
B. $150.00
C. $173.50
D. S178.65
Answers
Answer:
107.5Step-by-step explanation:AOPED
f(x) = 2x + 3 and
g(x) = -3x + 1
f(4) + g(-2)=?
Answers
An evergreen tree is supported by a wire extending from 1.5 feet below the top of the tree to a stake in the ground. The wire is 24 feet long and forms a 58° angle with the ground. how tall is the tree?
Answers
Answer:
Approximately [tex]21.9\; \rm ft[/tex] (assumption: this tree is perpendicular to the ground.)
Step-by-step explanation:
Refer to the diagram attached (not drawn to scale.)
Label the following points:
[tex]\rm S[/tex]: stake in the ground.[tex]\rm A[/tex]: top of the tree.[tex]\rm B[/tex]: point where the wire is connected to the tree. [tex]\rm C[/tex]: point where the tree meets the ground.Segment [tex]\rm SB[/tex] would then denote the wire between the tree and the stake. The question states that the length of this segment would be [tex]24\; \rm ft[/tex]. Segment [tex]\rm AB[/tex] would represent the [tex]1.5\; \rm ft[/tex] between the top of this tree and the point where the wire was connected to the tree.
The question is asking for the height of this tree. That would correspond to the length of segment [tex]\rm AC[/tex].
If this tree is perpendicular to the ground, then [tex]\rm \angle A\hat{C}S =90^\circ[/tex]. Triangle [tex]\rm \triangle BCS[/tex] would be a right triangle with segment [tex]\rm SB[/tex] as the hypotenuse.
The question states that the angle between the wire (segment [tex]\rm SB[/tex]) and the ground (line [tex]\rm SC[/tex]) is [tex]58^\circ[/tex]. Therefore, [tex]\rm \angle A\hat{S}C = 58^\circ[/tex].
Notice, that in right triangle [tex]\rm \triangle BCS[/tex], segment [tex]\rm BC[/tex] is the side opposite to the angle [tex]\rm \angle B\hat{S}C = 58^\circ[/tex]. Therefore, the length of segment [tex]\rm BC\![/tex] could be found from the length of the hypotenuse (segment [tex]\rm SB[/tex]) and the cosine of angle [tex]\rm \angle B\hat{S}C = 58^\circ\![/tex].
[tex]\displaystyle \cos\left(\rm \angle B\hat{S}C\right) = \frac{\text{length of $\mathrm{BC}$}}{\text{length of $\mathrm{SB}$}} \quad \genfrac{}{}{0em}{}{\leftarrow\text{opposite}}{\leftarrow \text{hypotenuse}}[/tex].
Rearrange to obtain:
[tex]\begin{aligned}& \text{length of $\mathrm{BC}$} \\ &= (\text{length of $\mathrm{SB}$}) \cdot \cos\left(\angle \mathrm{B\hat{S}C}\right)\\ &= \left(24\; \rm ft\right) \cdot \cos\left(58^\circ\right) \approx 20.35\; \rm ft\end{aligned}[/tex].
In other words, the wire is connected to the tree at approximately [tex]20.3\; \rm ft[/tex] above the ground.
Combine that with the length of segment [tex]\rm AB[/tex] to find the height of the entire tree:
[tex]\begin{aligned}&\text{height of the tree} \\ &= \text{length of $\mathrm{AC}$} \\ &= \text{length of $\mathrm{AB}$} + \text{length of $\mathrm{BC}$}\\ &\approx 20.35\; \rm ft + 1.5\; \rm ft \\ &\approx 21.9\; \rm ft\end{aligned}[/tex].
A basketball player makes 65% of all free throws in her first 5 seasons. In her 6th season she makes 105 out of 150 free throws. How does the observed frequency of her 6th season compare to the expected frequency? Provide a possible explanation for any similarities or differences in the frequencies. 7.50.3.7
(35 points i think)
Answers
If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.
What is the observed frequency of her 6th season?The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:
Expected frequency = (65/100) * 150 = 97.5
The observed frequency of successful free throws in the 6th season is 105.
To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:
z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))
total sample size = 150
expected frequency = 97.5
observed frequency = 105
z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28
The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.
Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.
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What’s the answer??? Look at the picture for the question
Answers
Answer:
Step-by-step explanation:
35
this app is bad its s lie
Answers
Please help with math p
Answers
Answer:
Uhh eventully it is not so no
Step-by-step explanation:
Suppose an ice cream cone is 10 cm deep with a diameter of 4cm. How much ice cream can fit into the cone without it overflowing?
Answers
Answer:
6 inches tall and has a diameter of 2 inchces
Step-by-step explanation:
What 7 to the 2 power plus 6
Answers
Answer:
[tex]7^2+6[/tex]
7 to the 2nd power is 49
49+6
55
Where did the 45% come from. It states 55% in question
Answers
Answer:
is this a question......
One serving of yogurt is 95 calories. How many calories are in 2.5 servings of yogurt ?
Answers
Answer:
237.5 calories
Step-by-step explanation:
One serving has 95
so 2.5 serving has
2.5×95= 237.5
Plz mark brainliest
thanks
Which calculation and answer show how to convert 11/25 to a decimal?
Answers
Answer:
this is the answer
Step-by-step explanation:
1125=11×425×4=44100=0.44
{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not
Answers
Answer:
The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.
Domain: -3, -5, -6, -9, 0
Range: 7, -8, -1, -3
Is it a function? Yes
8 gallons equals how many pints?
Answers
Answer:
38
Step-by-step explanation:
Answer:
8 gallons equals 64 pints since there are 8 pints in a gallon
Step-by-step explanation:
take care
PLEASE HELP I GIVE BRAINLIEST
Answers
Answer:
y = 11
Step-by-step explanation:
Perimeter = 6 + 5y + y + 2 + 4y + 3
= 10y + 11
10y + 11 = 121
10y = 121 - 11
= 110
y = 110 ÷ 10
y = 11
Write an inequality. Marianda is packing eggs in cartons. Each carton holds 12 eggs. She has already filled 3 cartons. How many more eggs does she need to fill at least 17 cartons?
Answers
14 x 12= 168. (she already filled 3 cartons. so, 17-3 =14.) she needs 168 eggs to fill the other 14 cartons.