Diego wants to check whether consumption of kale has an effect on blood pressure. Which would be the best method when trying to compare the effects of kale on blood pressure versus the lack of kale?
Observational Study

Experiment

Census

Survey

Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

f(x) is discontinuous.

Since LHS ≠ RHS ≠ f(x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

here, we have,

We have,

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Now,

A x = 1

LHS of f(x) = lim f((h - 1)) =  (h - 1 - 1) = 0 -2 = -2

RHS of f(x) = lim  f(h + 1) =  (2(h + 1) - 1) = 2h + 2 - 1 = 0 + 1

f(1) = x + 1 = 1 + 1 = 2

We see that,

LHS ≠ RHS ≠ f(x)

So,

f(x) is not continuous, it is discontinuous.

Thus,

f(x) is discontinuous.

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The complete question.

Show that the following functions are continuous or discontinuous at x = 1.

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

An equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

In this question, there was a depth of 10 inches of snow on the lawn when the storm ended and then it started a melting at a rate of 2 inches per hour.

We need to write an equation for S in terms of t, snow representing the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling.

So, the equation would be,

S = 10 - 2t

Therefore,  an equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t

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Answer:

y = x + 13

Step-by-step explanation:

Step 1: Find the slope

(11-20) / (-2-7) = 1

Step 2: Find b

y = x + b

20 = 7 + b

b = 13

Step 3: Put it all in slope-intercept form

y = x + 13

And you should have your final answer!

Joe could arrange the eraser in an array by placing 5 rows of 3 erasers each. The multiplication fact for this representation in an array is given by 5 × 3 .

A group of numbers or objects that will follow a predetermined pattern are referred to as an array in mathematics.

Here Joe has 15 eraser and he placed them on his rectangular bench.

Assuming that the erasers are all uniform , Joe placed them on the bench in an array of 5 rows each containing 3 erasers.

The multiplication fact for this representation in an array is given by

5 × 3 .

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The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer:

141.5

Step-by-step explanation:

because, x=26.5 and y=4 and then, its just plugining it into the equation Im not sure about the x and y but, I took the test and got it right.

The perimeter of the given figure is -

P{ABHG} = 2y + 6x + 41.

Perimeter is defined as the length of the total boundary of a 2 - D figure.

Mathematically, we can write -

P = ∫dl

Given is a trapezium as shown in the image.

We can write the perimeter as -

P{ABHG} = AB + BD + DF + FH + HG + GE + EC + CA

P{ABHG} = (y - 14) + (15) + (y )+ (10) + (5x - 3) + (x) + (21) + (12)

P{ABHG} = (y - 14) + (y) + (5x - 3) + (x) + 15 + 10 + 21 + 12

P{ABHG} = 2y - 14 + 6x - 3 + 58

P{ABHG} = 2y + 6x + 41

Therefore, the perimeter of the given figure is -

P{ABHG} = 2y + 6x + 41.

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Answer:

Area: 378.5

Perimeter: 71.4

Step-by-step explanation:

Area = 3 square + 2 semicircle

A = 3 x 10² + 2 x (3.14 x 5²)/2 = 300 + 78.5 = 378.5

perimeter = 2 square/2 + 2circle/2

P = 2 x(10 + 10) + 2 x (2 x 3.14 x 5) / 2 = 40 + 31.4 = 71.4

AnswerJust plug in x=-3, y=2 and z=-1 and simplify to get 2%28-3%29-%284%282%29-3%29%2B5%28-3%29%28-1%29=-6-%288-3%29%2B15=-6-5%2B15=4. So 2x-%284y-3%29%2B5xz=4 when x=-3, y=2 and z=-1

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Plug in 4 as x and -6 as y

4y/2x

4(-6) / 2(4)

-24 / 8

= -3

So, the expression is equal to -3

Answer:

x < 2

Step-by-step explanation:

9x - 4x + 14 < 3 ( x + 6 )

5x + 14 < 3x + 18

5x - 3x < 18 - 14

2x < 4

x < 4 / 2

x < 2

Answer:

\(x<2\)

Step-by-step explanation:

\(9x-4x+14<3\left(x+6\right)\)

Combine like terms, we have, 9x - 4x= 5x

\(5x+14<3\left(x+6\right)\)

Now we need to expend 3(x+6) using the distributive law, we will get:

\(3x+18\)

\(5x+14<3x+18\)

Subtract 14 from both sides:

\(5x+14-14<3x+18-14\)

\(5x<3x+4\)

Now Subtract 3x from both sides, then divide both sides by 2,

\(5x-3x<3x+4-3x\)

\(2x<4\)

\(\frac{2x}{2}<\frac{4}{2}\)

\(x<2\)

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

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Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

Answer:

24 : 15 : 20

Step-by-step explanation:

express ratios in fractional form and express b and c in terms of a

\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )

8b = 5a ( divide both sides by 8 )

b = \(\frac{5}{8}\) a

also

\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )

3c = 4b ( divide both sides by 3 )

c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a

Then

a : b : c

= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )

= 24a : 15a : 20a ( divide each part by a )

= 24 : 15 : 20 ← in simplest form

Answer:

(2,5) instead of rotating 270 degrees you could rotate 90 degrees clockwise the figure is going to end up in quadrant 1 and the numbers stay the same put become positive

Step-by-step explanation:

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.

given

Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).

m(call time) + b = credit

The function produces a line with a slope of -0.14 when graphed.

After 43 minutes of calls, the card's balance is $26.02 left.

After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04

credit?

C(32) = -0.14(32) + 32.04\sC(32) = $27.56

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

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Answer:

400 ft²

Step-by-step explanation:

The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²

Answer:

329 вот правильный ответ

Answer:

I think 1.75

Step-by-step explanation:

the long side is two times the amount of the tall side so take the smaller long side and divide by two.

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer: in 5 seconds it will take the ball to the ground.

Step-by-step explanation:

h=400 foot    h(t)=-16t²+h

Height a ball will take for to hit the ground  is 0 feet.

Hence,    

-16t²+h=0

400=16t²

16*25=16*t² |:16

25=t².

t²=5²

t=5 с.

Good luck an' have a nice day!

Answer:

The margin of error is  \(E = 1.96 * \frac{ 0.92}{\sqrt{28 } }\)

Step-by-step explanation:

From the question we are told that

    The sample size is  \(n = 28\)

     The  sample  mean is  \(\= x = 2.4 \ hr\)

      The  standard deviation is  \(\sigma = 0.92 \ hr\)

Given that the confidence level is 95% the the level of significance can be evaluated as

             \(\alpha = 100 -95\)

            \(\alpha = 5 \%\)

             \(\alpha = 0.05\)

Next we obtain the critical value of  \(\frac{\alpha }{2}\) from the normal distribution table,the value is  \(Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = 1.96\)

Generally the margin of error is mathematically represented as

           \(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

substituting values

          \(E = 1.96 * \frac{ 0.92}{\sqrt{28 } }\)

         \(E = 0.3408\)

0. Irrational

1. Irrational

2. Rational

3. Irrational

1) Considering that Rational Numbers are the ones that can be written as ratios like:

2) Then we can examine each row and each expression as well. So we can begin with:

Since the square root of 2 yields an irrational number, 9 times that yields an irrational one as well.

Irrational

Note that in the second row we have an irrational number as well, a decimal and not a repeating number.

Irrational

Since 2 is a rational number the same as 2/1. This is a Rational one.

And Finally:

Notice that the square root of 3 is already irrational so the sum of that with 2 yields another irrational number.

Irrational

3) Hence, the answer is:

0. Irrational

1. Irrational

2. Rational

3. Irrational

Answer:if I do ur work for u that means ain’t learning -55,2 s A2 bytes

Step-by-step explanation:

Answer:

V≈217.82

Step-by-step explanation:

I'm pretty sure

So with the given information, I make the length equal x and the width equals x+61. Remember a rectangle has two pairs of equal sides.

So then the equation is 4x+122=406

Do systems and you will find that x equals 71.

The length is 71cm

The width is 71+61=132cm

Answer: The bearing is below

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