Write a function rule for the table.

Write A Function Rule For The Table.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

slope=(1-0)/(5-4)=1

eq. of line through (4,0) with slope 1 is

y-0=1(x-4)

put y=f(x)

f(x)=x-4


Related Questions

Find cos R.
A. cos R =29/21
B. cos R =21/20
C. cos R =21/29
D. cos R =20/29

Answers

Answer:

The answer is 12 %R

Step-by-step explanation:

Answer:

[tex]\text{C. }\cos R=21/29[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.

From the diagram, we know:

Angle R's adjacent side is 21The hypotenuse (longest side) of the right triangle is 29

Therefore, the cosine of angle R must be [tex]\boxed{\frac{21}{29}}[/tex]

(Please use a separate piece of paper to calculate the answer for this problem.) A study to determine the sensitivity and specificity of a new test for macular degeneration is conducted on 2430 people. Macular degeneration occurs at a rate of 16.72 percent. Your sample has the same prevalence of macular degeneration. You find that 377 people with macular degeneration tested positive with the new test. You also have a total of 561 positive test results in your study. CALCULATE THE POSITIVE PREDICTIVE VALUE of this test under these circumstances. Group of answer choices 83.29% 98.45% 67.20% 92.86% 23.09%

Answers

Answer:

[tex]67.20\%[/tex]

Step-by-step explanation:

Given

[tex]n =2430[/tex] --- sample

[tex]r = 16.72\%[/tex] --- degeneration rate

From the findings, we have:

[tex]p = 377[/tex] --- tested positive

[tex]t =561[/tex] --- total test

Required

The positive predicted value (PPV)

This is calculated using:

[tex]PPV=\frac{Positive}{Total}[/tex]

i.e.

[tex]PPV = \frac{377}{561}[/tex]

[tex]PPV = 0.6720[/tex]

Express as percentage

[tex]PPV = 0.6720 * 100\%[/tex]

[tex]PPV = 67.20[/tex]

PLEASE HELP ASAP

In the diagram below, ΔABC ≅ ΔSTR. Complete the statement BC ≅

A. AC
B. TR
C. ST
D. SR

Answers

Answer:

a

Step-by-step explanation:

The complete statement is BC ≅ TR.

What is triangle theorem?

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, exists a fundamental relation in Euclidean geometry among the three sides of a right triangle. It expresses that the area of the square whose side exists the hypotenuse stands equivalent to the sum of the areas of the squares on the other two sides.

Using the similarity of triangle theorem BC ≅ TR

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What is the solution of 5/2x-7=3/4x+14

Answers

Answer:

D. x = 12

Step-by-step explanation:

if you plug 12 in

the solutoon says 23 = 23 which is correct

Answer:D 12

Step-by-step explanation:

I took the test

Can someone help me with this math homework please!

Answers

Here, t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t.

So, we need to substitute 10 into 210 -15t in place of t.

On simplifying 210 -15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

As described in the question, the function [tex]h(t)[/tex] models the total altitude of a hot air balloon over time. 't' represents the number of minutes that would be given.[tex]h(10)[/tex] would be the total altitude over 10 minutes time. To solve for the value, we would replace 't' with 10 and then evaluate.

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the measure of the indicated angle

Answers

Answer:

yes

Step-by-step explanation:

Answer: x = 76

Step-by-step explanation:
Hey there! I’m not fully sure because I don’t do geometry shapes of finding x angles but this is how I got x.

The left and bottom bases are the same. Let’s say that A will be the top point of the triangle b will be the bottom left corner angle and c would be in the bottom right corner. We can already see that ∠AB = ∠BC. Because we can see that one line between them. so that means 52* = A angle because of the side length

52 + 52 = 104
180 = total
104 = among angles (we know)
180 - 104 = 76
x = 76


Does anyone know the answer?

Answers

Answer:

The third one

Step-by-step explanation:


Two
1 1 sides of trapezium are bound 60 cm & 77cm
outer sides are 25cm. & 26cm Find the
area of trapezium

Answers

Answer:

area ABEC

[tex]s =\frac{25 + 26 + 17}{2} = 34[/tex]

area ∆ BEC

[tex] = \sqrt{34 \times 9 \times 8 \times 17} [/tex]

[tex]17 \times 3 \times 2 \times 2 = 204cm ^{2} [/tex]

area ∆ BEC

[tex] = \frac{1}{2} \times 17 \times h = 204[/tex]

[tex]h = \: \frac{204 \times 2}{17} = 24[/tex]

[tex]area \: trap \: \: abcd \\ = \frac{1}{2}(60 + 77) \times 24 \\ = 137 \times 12 = 1644cm ^{2} [/tex]

Step-by-step explanation:

❣️Jess bragoli❣️

#keep learning!!

10. Evaluate the function rule for the given value.
y = 12x3^for x =-2

Answers

Answer:

-96

Step-by-step explanation:

by replacing -2 on the place of x we get 12x-8= -96

someone help me please with this algebra homework

Answers

Answer: second choice!

Step-by-step explanation:

Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and
(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units

Answers

Answer:

4 sq. units

Step-by-step explanation:

Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.

We can see that for this polygon, opposite sides are parallel and equal to each other.

To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:

The length is the distance between (1, 2) and (3, 2):

[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]

The breadth is the distance between (3, 2) and (3, 0):

[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]

Since length = breadth, hence this is a square.

Area= length * breadth = 2 * 2 = 4 sq. units

How much would $500 invested at 5% interest compounded continuously be worth after 4 years? Round your answer to the nearest cent

Answers

Answer:

$610.70

Step-by-step explanation:

[tex]a = pe^{rt}[/tex]

a = 500 [tex]e^{.05 * 4}[/tex]

a = $610.70

A box contains 3 red balls, 5 white balls, and 10 green balls. If a ball is chosen at random, what is the probability that it is either white OR green?
a. 3/10
b. 5/6
c. 1/2
d. 1/15

Answers

B)5/6
Solution
3+5+10=18
White or green ball - 5+10=15
N(e)/N(s) - 15/18
3❌5=15
3❌6=18
Therefore the answer is 5/6

The correct answer is option B which is the probability of either white or green is 5/6.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

A box contains 3 red balls, 5 white balls, and 10 green balls. If a ball is chosen at random.

The probability that it is either white or green will be calculated as:-

Total balls are :- 3+5+10=18

White or green ball - 5+10=15

3 x 5=15

3 x 6=18

P = N(e)/N(s) = 15/18

P = N(e)/N(s) = 5 / 6

Therefore the correct answer is option B which is the probability of either white or green is 5/6.

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Find the measure of the indicated angle.

Answers

Answer:

the answer is 96°

Step-by-step explanation:

it is an isosceles triangle as it's 2 sides are equal.

for an isosceles triangle, the angles made by the equal sides with the third side are equal.

and the sum of all angles in a triangle = 180°

42 + 42 + x = 180

x = 180 - 84

X = 96°

Help me please on hegarty maths

Answers

Answer:

29.5cm^2

Step-by-step explanation:

3 × 4 = 12

4 × 2.5 = 10

3 × 2.5 = 7.5

12+10+7.5=29.5

Evaluate the expression 42 +6.52 – 33 = 32,

Answers

The answer is 223

P.S I did the math by using PEMDAS

Solve for x and y:
x – 3y = -8
3x + 2y = 31
Select one:
O a. (-11,-1)
O b. (11,1)
o c. (5,8)
O d. (7,5)

Answers

Answer:

O d. (7,5)

Step-by-step explanation:

x – 3y = -8 (1)

3x + 2y = 31 (2)

From (1)

x = -8 + 3y

Substitute x = -8 + 3y into (2)

3x + 2y = 31 (2)

3(-8 + 3y) + 2y = 31

-24 + 9y + 2y = 31

-24 + 11y = 31

11y = 31 + 24

11y = 55

y = 55/11

y = 5

Substitute y = 5 into (1)

x – 3y = -8 (1)

x - 3(5) = -8

x - 15 = -8

x = -8 + 15

x = 7

(x, y) = (7, 5)

Help me please guys

Answers

Answer:

m = 5, n = - 1

Step-by-step explanation:

Given

x² + 4x - 5

Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)

The factors are + 5 and - 1 , since

5 × - 1 = - 5 and 5 - 1 = + 4 , then

x² + 4x - 5 = (x + 5)(x - 1)

with m = 5 and n = - 1

What is the explicit formula for this sequence?
7, 2, -3, -8...

Answers

Answer:

The explicit formula of that sequence is T - 5

Step-by-step explanation:

Let T represent each term in the sequence. So now try replacing T with each term in the sequence. Like this ;

7 - 5 = 2

2 - 5 = -3

-3 - 5 = -8

hope this helps

What is the median of the data set given below?
19, 22, 46, 24, 37, 16, 19,33
A. 24
B. 23
C, 19
D. 27

Answers

Answer:

B. 23

Step-by-step explanation:

16, 19, 19, 22, 24, 33, 37, 46

Median = n/2

= 8/2

= 4//

(22 + 24)÷2 = 46 ÷ 2

= 23

Complete the following statement.
The radical equation 2 + 2x - 3
V + 7 has a solution set z =
and an extraneous root =

Answers

Answer:

x=2; the extraneous root x=42.

All the details are in the attached picture, the answer is marked with red colour.

The radical equation 2 + 2x - 3. √(x + 7) has a solution set z = 2 and an extraneous root = -7.

To solve the equation, we can start by simplifying the radical. We get:

2 + 2x - 3√(x + 7) = 0

We can then move the constant term to the other side of the equation. We get:

2x - 3√(x + 7) = -2

We can then multiply both sides of the equation by -1. We get:

3√(x + 7) - 2x = 2

We can then square both sides of the equation. We get:

9(x + 7) - 12x * √(x + 7) + 4x² = 4

We can then rearrange the terms on the left-hand side of the equation. We get:

4x² - 12x * √(x + 7) + 5 = 0

We can then factor the expression on the left-hand side of the equation. We get:

(2x - 1)(2x - 5) = 0

This gives us two solutions, x = 1/2 and x = 5.

The solution x = 1/2 is a valid solution because it does not make the radical expression undefined. However, the solution x = 5 is an extraneous root because it does make the radical expression undefined.

Therefore, the solution set z = 2 and the extraneous root = -7.

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Which of the following equations correctly represents the law of cosines?

Answers

Answer:

C

Step-by-step explanation:

The interior angle of a polygon is 3degrees greater than the exterior angle.find the sum of the angles of the polygon​

Answers

Step-by-step explanation:

We know that the sum of angle around a point is 180° . Therefore let the first angle be x then second will be x + 3 .

According to the Question ,

> x + x + 3 = 360°

> 2x = 357=

> x = 357°/2

> x = 178.5°

Can Someone Help Me With This ?​

Answers

Answer:

its to pixelated

Step-by-step explanation:

It’s too blurry so yeah

Which choices are equivalent to the expression below? check all that apply. 2x+3x+4x
A. 9x
B. (2+3+4)x
C. 9
D. (9)^(3) or 9x to the third power

Answers

Answer:

A. 9x

B. ( 2 + 3 + 4 ) x

Step-by-step explanation:

2x + 3x + 4x = 9x

2x + 3x + 4x

= ( 2 + 3 + 4 ) x

What is One-third divided by one-fourth?

Answers

Answer:

The answer is 1 and 1/3

Step-by-step explanation:

hope its correct

Answer:

1/3 ÷ 1/4

= 1/3 × 4×1

=4/3

=1⅓

The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)?
(image should be attached somewhere)

Answers

Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

please mark me as brainliest

Which of the following sampling methods are biased?

systematic random sample

voluntary response sample

convenience sample

simple random sample

Answers

Answer:

convenience sample is biased because you're only collecting the samples from places that are expedient, but doesn't necessarily represent the population

How many ways are there to put 9 differently colored beads on a $3\times3$ grid if the purple bead and the green bead cannot be adjacent (either horizontally, vertically, or diagonally), and rotations and reflections of the grid are considered the same

Answers

Answer:

20,160

Step-by-step explanation:

The arrangement of the 9 differently colored bead can be presented as follows;

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Where 1 is the purple bead and 2 is the green bead, the number of ways of arrangement where the green bead cannot be adjacent to the green either horizontally, vertically, or diagonally

Placing the purple bead at 1, the location of the green bead = 3, 6, 7, 8, or 9

The number of ways = 5 ways × 7! ways of arranging the other beads

With the purple bead at 2, the location of the green bead = 7, 8, or 9

The number of ways = 3 × 7!

With the purple at 3, we also have 5 × 7! ways

At 4, similar to 2, we have, 3 × 7! ways

At 5, we have, 0 × 7!

At 6, we have 3 × 7!

For 7, 8, and 9, we have, (5 + 3 + 5) × 7!

The total number of ways = (5 + 3 + 5 + 3 + 0 + 3 + 5 + 3 + 5) × 7! ways

However, placing the purple bead at 1, 2, 3, 4, 6, 7, 8, and 9, (8 positions) can be taken as reflection and rotation of each other and can be considered the same

Therefore, the total number of acceptable ways = (5 + 3 + 5 + 3 + 0 + 3 + 5 + 3 + 5) × 7!/8 = 20,160 ways

hshsjshshsjsksjjsbsbbs bc hd​

Answers

Answer:

its b b b

Step-by-step explanation:

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