Joe decided to track the temperature in his town for five consecutive days. On Monday, the temperature was 23°C. On Tuesday, it decreased by 9°C and then increased by 7°C on Wednesday. On Thursday, the temperature rose 4°C and then decreased by 5°C on Friday. What was the overall temperature change over those five days?

Answer:

x = 20°

Step-by-step explanation:

Angles on a straight line = 180°

Therefore,

3x° + 80° + 2x° = 180°

Add like terms

5x + 80 = 180

Subtract 80 from each side

5x + 80 - 80 = 180 - 80

5x = 100

Divide both sides by 5

5x/5 = 100/5

x = 20°

Answer:

3

Step-by-step explanation:

like you said don't explain

Answer: [tex]y=2x-11[/tex]

Step-by-step explanation:

Given

The line has a slope of 2 and passes through (3,-5)

Using slope point form that is

[tex]\Rightarrow \dfrac{y-y_1}{x-x_1}=m[/tex]

Insert values

[tex]\Rightarrow \dfrac{y-(-5)}{x-3}=2\\\\\Rightarrow y+5=2x-6\\\Rightarrow y=2x-11\ or\ 2x-y=11[/tex]

Answer:

y = -3/2x + 1 1/2

Step-by-step explanation:

the slope would be -3/2 because you have to find the reciprocal and switch the sign. To find the y intercept you would plug in the points to the equation.

6 = -3/2(-3) + b

6 = 4.5 + b

1.5 = b

Answer: true

Step-by-step explanation:

a). The number of scores which are expected to be lower than 18.31 is; 16 scores.

b). The number of scorers that are expected to be below 32.38 is; 98 scores.

As evident in the task content; the 100 ACT scores in discuss are normally distributed, hence, all peculiar characteristics of a normal distribution apply.

First, since the mean is given as; 23 and the standard deviation is; 4.69.

By observation; 23 - 4.69 = 18.31 and

23 + 4.69 + 4.69 = 32.38.

a). Since the percentage of data values which fall below one standard deviation below the mean is; 15.9% which is approximately; 16%.

Therefore, the number of scores below the 18.31 score is; 16% of 100 = 16 scores.

b). Also, since the score; 32.38 is 2 standard deviations above the mean, and it follows from a normal distribution that the percentage of data values below such data value is; 97.7% which is approximately 98%.

Therefore, the number of scores which are expected to be below 32.38 is; 98% of 100 = 98.

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Answer:

That's the surface area........

Answer:

Area of polygon[20 sides] = 1,140 inch² (Approx.)

Step-by-step explanation:

Given;

Number of sides = 20 sides

Length of each side = 6 inch

Find:

Area of polygon[20 sides]

Computation:

Perimeter of polygon[20sides] = 20 x Length of each side

Perimeter of polygon[20sides] = 20 x 6

Perimeter of polygon[20sides] = 120 inch

Apothem[Shortest distance from center] = S / 2tan[180/n]

Apothem[Shortest distance from center] = 6 / 2tan[180/20]

Apothem[Shortest distance from center] = 6 / 2tan[9]

Apothem[Shortest distance from center] = 18.94

Apothem[Shortest distance from center] = 19 inch (Approx.)

Area of polygon[20 sides] = [Perimeter x Apothem] / 2

Area of polygon[20 sides] = [120 x 19] / 2

Area of polygon[20 sides] = 1,140 inch² (Approx.)

Please review the analysis for the dependent and independent variables. Equation: The total probability for the number w=160 m on the chart is 160 m.

Equation w=160 m.w (words) equals 160 words in the first minute and 320 words in the next two minutes. 800 words in five minutes, 480 words in three minutes, and 640 words in four minutes. The probability of A or B is equal to p(A or B) = p(A) + p(B) if occurrences A and B are mutually exclusive (B).

The steps listed below can be used to determine an event's likelihood: Step 1: Identify an event that has only one outcome. Step 2: Compile a list of all potential outcomes, including any positive ones. Step 3: Subtract the number of favourable outcomes from the total number of outcomes that are feasible. A probability is a number that expresses the possibility or likelihood that a specific event will take place.

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Answer:

The probability that a candidate has less than 4 errors is 0.40

Step-by-step explanation:

Given

[tex]n(S)= 20[/tex] --- candidates

See attachment for histogram

Required

[tex]P(x < 4)[/tex]

From the attached histogram, the errors less than 4 are: 0 or 1 and 2 or 3

And the corresponding frequencies are: 5 and 3, respectively.

So:

[tex]P(x < 4) = P(0\ or\ 1) + P(2\ or\ 3)[/tex]

This gives:

[tex]P(x < 4) = \frac{n(0\ or\ 1)}{n(S)} + \frac{n(2\ or\ 3)}{n(S)}[/tex]

Substitute 5, 3 and 20 for n(0 or 1), n(2 or 3) and n(S), respectively

[tex]P(x < 4) = \frac{5}{20} + \frac{3}{20}[/tex]

Take LCM

[tex]P(x < 4) = \frac{5+3}{20}[/tex]

[tex]P(x < 4) = \frac{8}{20}[/tex]

[tex]P(x < 4) = 0.40[/tex]

Answer:

21.75 or 21 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

What I did was 14.5 / 2 to see how many miles were on a 1/3 gallon, then multiplied that answer (which was 7.25) by 3 to get the full 3/3 or 1 gallon.

Answer:

[tex]distance = \sqrt{ {( - 3 - ( - 3))}^{2} + {(4 - 0)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]

Answer:

c

Step-by-step explanation

120/1000 people bought 8 dollar ice cream. 120/1000 = 0.12 = 12% so 12% of 10000 is 1200

Answer:

L.4118.36.

Step-by-step explanation:

Para determinar en cuánto se convertirán L.3000 en 4 años al 8% de interés compuesto anual capitalizable por trimestres se debe realizar el siguiente cálculo de interés compuesto:

3000 x (1 + 0.08 / 4)^4x4 = X

3000 x (1 + 0.02)^16 = X

3000 x 1.02^16 = X

3000 x 1.3727 = X

4118.357 = X

Por lo tanto, tras 4 años de inversión al 8% de interés compuesto anual capitalizable por trimestres, la inversión valdrá L.4118.36.

The new expression is -12/(x - y) and the domain is x ≠ y

From the question, we have the following parameters that can be used in our computation:

12/(y - x)

Multiply the fraction by 1

So, we have the following representation

12/(y - x) * 1

Express 1 as -1/-1

This gives

12/(y - x) * -1/-1

So, we have

-12/(x - y)

It should be noted that the domain remains the same

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Answer: To find out how much medication the patient receives each day, you need to determine the patient's weight in kilograms and then calculate the total dosage per day.

You can convert the patient's weight from pounds (lb) to kilograms (kg) by dividing the weight by 2.2.

So,

315/2.2 = 142.72 kg

Next, we can use this weight to determine the dosage per day:

3 mg/kg * 142.72 kg = 428.16 mg

Now, since the physician ordered twice a day, we will multiply the dosage per day with 2:

428.16 mg * 2 = 856.32 mg

So the patient receives 856.32 mg of medication each day.

Step-by-step explanation:

The volume of adrenaline you want is 0.25mL

From the question, we have the following parameters that can be used in our computation:

Amount to give = 250 mcg of adrenaline

Available = 1 mL of 1 : 1000 of adrenaline

The expression 1 mL of 1 : 1000 of adrenaline means that

1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)

So, we have

Available = 1 mL * 1000 microgram/mL

Evaluate

Available = 1000 micrograms

This can be expressed as

Available = 1000 mcg

So, we have

Amount to give = 250 mcg of adrenaline

Available = 1000 mcg of adrenaline

When converted to mL, we have

Available = 1 mL of 1 : 1000 of adrenaline

Divide by 4

Amount = 1 mL of 1/4 : 1000/4 of adrenaline

Evaluate

Amount = 1 mL of 1/4 : 250 of adrenaline

This implies that

Amount = 1 mL of 1/4

Evaluate

Amount = 0.25 mL

So, the amount is 0.25 mL

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As seen in the illustration, the polygon's surface area is 12 + 4√5 square units.

Therefore the correct option is C) 12 + 4√5 square unit

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Answer:

C - 2[tex]\frac{1}{2}[/tex] hours

Step-by-step explanation:

8[tex]\frac{1}{2}[/tex] - 6 = 2[tex]\frac{1}{2}[/tex].

Answer:

s = 8t

Step-by-step explanation:

.............................

Answer:

c

Step-by-step explanation:

because it is yhe smaller temmpertatuer

Answer:

C. >

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

H=12

Step-by-step explanation:

Answer: The solution to the system of equations is (1/3,-4/3).

Step-by-step explanation: Yes

The nth term of the following sequence is: 5n²

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

We are given the sequence are;

5, 20, 45, 80, 125

The quadratic sequence formula : an²+bn+c

2nd difference 2a = 10

a = 5

1st difference 3a+b = 15

Then substitute 5

3(5)+b = 15

b = 0

The nth term rule : a + b + c = 5

Now substitute a and b values into equation

5 + 0 + c = 5

c = 0

The nth term is: 5n²

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Answer:

6884

Step-by-step explanation:

8x8x5

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The graph of f(x) has a relative minimum where its first derivative (f'(x)) is zero and its second derivative (f''(x)) is positive. (Function f(x) is concave upward when f''(x) > 0.) Since the second derivative is the slope of the first derivative, this means the local minimum will be at the x-value where f'(x) = 0 and is crossing the x-axis from below.

The graph of f'(x) shows a local minimum at x = 1.

__

Desmos does not allow us to define f'(x) directly, so we have called it f₁(x). The function f(x) is the integral of that—shown as the dashed orange line. We wanted you to see the f(x) curve so you could see it has a local minimum at x=1.

To write the equation of a line that goes through the point (3,2) and has a y-intercept of 1, we can use the point-slope form of a line. The point-slope form is:

y - y1 = m(x - x1)

Where (x1, y1) is a point on the line, and m is the slope of the line. The slope is a measure of the steepness of the line, and it is calculated as the rise (the change in y) over the run (the change in x).

To find the slope of the line, we can use the two points (3,2) and (3,1). The rise is 1 - 2 = -1 and the run is 3 - 3 = 0, so the slope is -1/0, which is undefined. This means that the line is a vertical line and does not have a slope.

Since the line is a vertical line, we cannot use the point-slope form to write its equation. Instead, we can use the slope-intercept form, which is:

y = mx + b

Where m is the slope of the line and b is the y-intercept. In this case, the slope is 0 (since the line is vertical), and the y-intercept is 1, so the equation of the line is:

y = 0x + 1

To write the equation of a line that is perpendicular to line a and goes through the point (-4,2), we need to find the slope of line a. Since line a is a vertical line, its slope is undefined. However, we know that the slope of a line perpendicular to it must be 0.

Using the point-slope form, the equation of line b is:

y - 2 = 0(x - (-4))

Simplifying, we get:

y = 0x + 2

So, the equation of line b is:

y = 0x + 2

Answer:

i cant see it

Step-by-step explanation:

Answer:

A. cone Z

B. cylinder Y

Step-by-step explanation:

The figures cone Z and cylinder Y have the same volume.