The temperature, HH, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H=f(t)H=f(t), where tt is in minutes since the coffee was put on the counter. (a) Is f′(t)f′(t) positive or negative? negative (Be sure that you are able to give a reason for your answer.) (b) What are the units of f′(20)f′(20)? help (units) Suppose that |f′(20)|=1.5|f′(20)|=1.5 and f(20)=56f(20)=56. Fill in the blanks (including units where needed) and select the appropriate terms to complete the following statement about the temperature of the coffee in this case. At minutes after the coffee was put on the counter, its temperature is and will ? by about in the next 45 seconds.

The answer would be 59. This is for law of cosines (sas)

The requried length of side w is approximately 44 cm to the nearest centimeter.

These are the equation that contains trigonometric operators such as sin, cos.. etc, in algebraic operations.

To find the length of side w in ΔVWX, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle. In other words:

w/sin(W) = x/sin(X)

where X is the angle opposite side x.

We are given x = 97 cm, v = 48 cm, and W = 28°. To find X, we can use the fact that the sum of the angles in a triangle is 180°:

X = 180° - W - V

X = 180° - 28° - 180°/2

X = 72°

Now we can plug in the values into the law of sines equation:

w/sin(28°) = 97/sin(72°)

Solving for w, we get:

w = sin(28°) * 97 / sin(72°) = 43.9 cm

Therefore, the length of side w is approximately 44 cm to the nearest centimeter.

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Answer:

one variabk depends on another variable  to help

A function is a relation between two sets of variables such that one variable depends on another variable. We can represent different types of functions in different ways. Usually, functions are represented using formulas or graphs. There are four ways for the representation of a function

Algebraically= mathematical  model

Numerically=table of values or chart

Visually=continuous graph or scooter plot

Verbally=Word description

Step-by-step explanation:

Answer:

145/36

Step-by-step explanation:

(29/6) / (6/5) = 145/36

Answer:

29/6÷ 4(3/10)

145/36

Step-by-step explanation:

Step-by-step explanation:

I assume the boat is going straight out on the same horizontal line.

we have 2 right-angled triangles.

at point A

there is the ground distance from A to the lighthouse. which is 1390 ft.

then there is the height of the lighthouse.

and the line of sight from A to the lighthouse light.

the angle at A is 7°.

the angle at the bottom of the lighthouse is 90°.

therefore, the angle at the lighthouse light = 180 - 90 - 7 = 83°.

at point B

the ground distance from B to the lighthouse.

the height of the lighthouse again.

and the line of sight of B to the lighthouse light.

the angle at B = 4°.

the angle at the lighthouse bottom is again 90°.

therefore, the Angie at the lighthouse light is 180 - 90 - 4 = 86°.

we need the law of sine to solve this and find the missing side lengths.

a/sin(A) = b/sin(B) = c/sin(C)

with the sides and the correlated angles being opposite.

the first we need to do is finding the height of the lighthouse via triangle A, so that we can use it then also in triangle B.

1390/sin(83) = height/sin(7)

lighthouse height = 1390×sin(7)/sin(83) = 170.6705397... ft

now, we can use that in triangle B to get the ground distance to the lighthouse :

height/sin(4) = ground distance/sin(86)

ground distance = height×sin(86)/sin(4) =

= 2,440.702427... ft

the distance from A to B is the difference between that ground distance and the original distance of 1390 ft :

2,440.702427... - 1390 = 1,050.702427... ft ≈

≈ 1,051 ft

By using normal Distribution we found 15 women ran faster than Joan

The  average amount of variability in our data set is known as Standard Deviation.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

standard deviations from the mean is used to measure Z-score

If data point's score is identical to the mean score then the z score will be zero

 Standard deviations a score X is above or below the mean measures z-score measures

From z- table we find the p values respectively.

By given , Joan’s finishing time for the Bolder Boulder 10K race was 1.83 standard deviations faster than the women’s average for her age group.

So,  Z - score = 1.83

From z - table,

If  Z =1.83 , then p-value is 0.9591.

It means that Joan was faster than 95.91% of the participants and slower than 100-95.91 = 4.09% of the participants.

Since, There were 375 women who ran in her age group.

we computed that, 4.09% faster than Joan

Number of women run faster than Joan is, = 375/100*4.09= , nearly = 15

Thus, 15 women ran faster than Joan.

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Answer:

6 cm

Step-by-step explanation:

If the linear scale factor of two solids is k, then the volume scale factor is k^3.

The volume scale factor is 128/54 = 64/27 = (4/3)^3.

The linear scale factor is 4/3.

4.5 cm * 4/3 = 6 cm

Answer: The height of the larger container is 6 cm.

Answer:

[tex](f\circ g)(8)=-3[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

For practical purposes, it can be found by substituting g into f.

The functions are defined as follows:

[tex]f(x)=x^2-4[/tex]

[tex]g(x)=7-x[/tex]

To find [tex](f\circ g)(8)[/tex], we evaluate g in x=8 and then apply the composition formula.

[tex]g(8)=7-8=-1[/tex]

[tex](f\circ g)(8)=f(g(8))[/tex]

[tex](f\circ g)(8)=f(-1)[/tex]

[tex](f\circ g)(8)=(-1)^2-4=1-4[/tex]

[tex]\boxed{(f\circ g)(8)=-3}[/tex]

Answer: 15cm squared

Step-by-step explanation:

Find the area of the rectangle:

Formula: length x width

So 6 x 4 which is 24

Then, find the square:

Formula: side x side

So 3 x 3 which is 9

Finally subtract the two areas to find the remaining sheet of paper

24 - 9 = 15

Answer:

the remaining sheet of paper is 3cm long and 1 cm wide

Step-by-step explanation:

the length of rectangular sheet is 6cm and when you cut 3 cm from it it remains 3 cm

the breadth of rectangular sheet is 4 cm and when you cut 3 cm from it 1 cm is left.

Answer:

The cousin would be longer.

Step-by-step explanation:

4/5 = .8, and 3/4= .75, making the cousin longer at birth.

Answer:

3 and 7

Step-by-step explanation:

For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4

Answer:

the image shows reduction

Step-by-step explanation:

1.7

Answer:

0.5

Step-by-step explanation:

First divide 1.7 to 3.4 and then you get your answer

Hope this helps :)

Answer:

2x=45

Step-by-step explanation:

i did it

Answer:

ok so we now that half a hour is 30 minutes so in 30 minutes she walked 4/3 of a miles so lets just multiply that by 2

8/3 or 2 2/3 or a miles a hour

2.6667 mph

Hope This Helps!!!

Ratios are written as fractions:

The ratio of girls to boys would be girls / boys = 10/5 which can be reduces to 2/1

The ratio of boys to girls would be boys / girls = 5/10 which can be reduced to 1/2

answer : z ‹ 6

explanation :

inequality given is x + 2 ‹ 8

take the +2 and move it to the back to 8, so it will be -2.

then you will directly get x ‹ 8 - 2

so the answer will be x ‹ 6.

I'm not sure whether you had the answer choice z is actually x, but if it does the answer is x ‹ 6 and not z ‹ 6

Answer:

a. 7:05 am

b. 7:00 am

c. 6:55 am

d. 6:50 am

e. 6:49 am

Let's factor out

[tex]\\ \rm\Rrightarrow 64m^2-9n^2[/tex]

[tex]\\ \rm\Rrightarrow (8m)^2-(3n)^2[/tex]

[tex]\\ \rm\Rrightarrow (8m-3n)(8m+3n)[/tex]

Done

Answer:

84.07

Step-by-step explanation:

eighty-four is 84

hundredth is .01 so seven-hundredths is .07

so eight-four and seven-hundredths is 84.07

Answer:

84.07

Step-by-step explanation:

7 would be where it is because when you do decimals and there are numbers behind the decimals you go back words.

Answer:

i beilive it is 1/1

Step-by-step explanation:

Answer:

$4,637.50

Step-by-step explanation:

Answer:

1. Square

A square has 4 side of equal lengths, and all right angles.

2. Triangle

A triangle has 3 sides and 3 angles. It could either be an isosceles, equilateral or obtuse triangle.

3. Rectangle

A rectangle has 4 sides. 2 are parallel and the other 2 are parallel. All angles are 90 degrees.

4. Trapezoid

This shape has 4 sides. Only 1 pair of sides is parallel. The other 2 sides are not parallel

5. Parallelogram

It has 4 sides, and both pair of opposite sides are parallel.

Answer:

[tex]y=Cx^2[/tex]

Step-by-step explanation:

Clearly, [tex]\frac{dy}{dx}[/tex] is a function of x, so we can eliminate the second option.

The slope field does not resemble a circle nor hyperbola, so we can eliminate the last two options.

This leaves us with [tex]y=Cx^2[/tex] as our general solution.

answer:

the total angle of a triangle is 180°

since all of the sides of the triangle are even, then it means that all the angles are also equal

180 divided by 3 (because theres 3 angles) = 60

since one of the interior angle of the triangle is 60, the congruent angle of x also equals to 60° and also 60+60+60=180 (straight line)

i made a little diagram above for you, i hope it helps you and goodluck!! :)

The value of angle x is 60° in the triangle.

Triangle is defined as the polygons of the three-sided and three-sided variety. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height. All triangle shapes, including scalene, isosceles, and equilateral triangles, can be calculated using this formula.

The exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices, and angle x is one of the triangle's exterior angles.

Given that all three angles in a triangle are equal and all three sides of the triangle are even, the total angle of the triangle is 180°.

Since one of the interior angles of the triangle is 60°, the congruent angle of x is also 60°, therefore 60+60+60=180. (straight line).

So, the value of x is 60°

Thus, the value of angle x is 60° in the triangle.

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Answer:

See below.

Step-by-step explanation:

1) E and S

2) Pentagon

3) No, No, Yes

4) Infinite

5)

a. 4, 90°

b. 4 plates

c. Yes, see attachment.

My apologies if the picture isn't very neat/clear.

Step-by-step explanation:

[tex]1) \: e \: and \: s \\ 2) \: pentagon \\ 3) \: no \: no \: yes \\ 4)infinite \\ 5)4 \: \: \: \: \: . \: 90 \\ b) \: uplates \\ c) \: yes \: see \: attachment[/tex]

# Jerry Don is here#

Answer:

The ratio of blue balloons to the total number of balloons is 1:2.

Answer:

-78-(-34)+(-14)

Step-by-step explanation:

-78+(+34)+(-14)

-78-14

-92+34

-58

And thats the answer needed there for it would be the last expression.

Answer:

the answer is b

Step-by-step explanation