Find the equation of the line through the points (0, –3) and (4, 5)

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

An equation is an expression that shows the relationship between two or more numbers and variables.

Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:

[tex]C-0=\frac{100-0}{212-32} (F-32)\\\\C=\frac{5}{9} (F-32)[/tex]

The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)

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Answer:

18

Step-by-step explanation:

Use PEDMAS

In this, we have to do first division , then multiplication and finally addtion.

72 ÷ 6 + 3*2 = 12 + 3*2       {division is done}

                     = 12 + 6         {Multiplication is done}

                     = 18

Expression: 5x + 12

Coefficients (The number directly next to the variable): 5

Variable (A letter that stands for a unknown number): x

Term (A single mathematical expression): 5x , 12

Constant (A term that has no attached variables): 12

Answer:

Step-by-step explanation:

The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Let p represent the population of the bacteria after d days.

[tex]P(d)=400(1.56)^d\\\\P(7)=400(1.56)^7=8994\\\\P(0)=400\\\\\\Average\ rate\ of\ change=\frac{P(7)-P(0)}{7-0}=\frac{8994-400}{7-0} =1228[/tex]

b) 24 hours = 1 day, hence:

[tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]

The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]

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Answer:

cos(π/6)= radical 3 over 2 sin(π/6) = 1/2

Step-by-step explanation:

In the unit circle the coordinates of the point for the particular angle can be expressed by cos(x) for the x value and sin(x) for the y value. For π/6, the point's x value is radical 3 over 2 as expressed by cos(π/6) and the y value is 1/2 as expressed by sin(π/6)

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Explanation:

Count the number of leaves for each stem.

The first row has 5 leaves, the next has 8, and so on.

This is the list of leaf counts for each row when reading from top to bottom.

Add those leaf counts to get 5+8+8+7+3 = 31

There are 31 leaves total to represent the n = 31 values in this data set.

The median is in slot n/2 = 31/2 = 15.5 = 16 which is at the exact center.

Notice how 5+8 = 13 is too small compared to slot 16

But 5+8+8 = 21 is too big. Therefore, the median in slot 16 is somewhere in the third row.

Specifically, it's the third item in that row because 13+3 = 16

The third item in the the third row is the leaf 4. It pairs with the stem 3

stem = 3 and leaf = 4 combine to the value 34. The median is 34.

---------------------------------------

Another way to find the median:

Start with the first leaf in the first row (that value being 6). It pairs up with the last leaf in the last row (that value is 5). Cross those outer-most values from the list.

Repeat that step with the next outer-most values (7 in row one and 2 in row five). This process of crossing out the outer-most values will gradually narrow the list down until we approach the very middle item. You should arrive at the "4" in the third row.

This process is longer than the first method in the previous section, but it might be handy to see it being visual like this.

Answer: 26.533

Step-by-step explanation: add the leaf numbers and multiply them with the respective stem number and all those add together. the result divided by the sum of stem numbers.

Answer:

its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive

Step-by-step explanation:

Answer:

Assuming you're hoping to solve the inequality for x, x > 29

Step-by-step explanation:

When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.

Answer:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

[tex]\sf 3.78\times 10^{4}[/tex]

Step-by-step explanation:

Scientific notation:  [tex]\sf a \times 10^b[/tex]

(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)

Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:

[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]

Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]

                   [tex]\sf =0.378\times 10^{5}[/tex]

                   [tex]\sf =3.78\times 10^{4}[/tex]

(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)

Using linear function concepts, it is found that the true statements are as follows:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, for psychology, the model for the number of graduated students in t years after 2000 is:

P(t) = 2,376t + 73,219.

For biology, it is given by:

B(t) = 2,414t + 56, 545

Hence, the correct statements are:

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Answer:

a ground fault circuit interrupted

Answer:

By using what we know about intersecting lines, we will see that: a) ∡7 = 47° b) 47° + (2x - 5)° = 180° c) x = 69 How to get the measures of the angles for two intersecting lines? When two lines intersect, 4 angles are formed. There are two properties that these angles have. If the angles are adjacent, then their measures add up to 180° If the angles are not adjacent, these angles have the same measure. a) We know that ∡5 = 47° And 7 is not adjacent to 5, then 7 has the same measure: ∡7 = 47° b) 6 and 5 are adjacent, then we must have that: ∡5 + ∡6 = 180° 47° + (2x - 5)° = 180° That is the equation we need to solve to get the value of x. c) To solve the linear equation we need to isolate x, let's do that: 47° + (2x - 5)° = 180° (2x - 5)° = 180° - 47° = 133° 2x - 5 = 133 2x = 133 + 5 = 138 x = 138/2 = 69. If you want to learn more about linear equations, you can read: brainly.com/question/1884491

Answer:

980

Step-by-step explanation:

[tex]A = \frac{H.B}{2} = \frac{28.70}{2} = 980[/tex]

Answer:

21

Step-by-step explanation:

Answer:

11 Students

Step-by-step explanation:

It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.

Answer:

Step-by-step explanation:

Answer:

pls send the image along with it. So it can be solved

Answer:

0.60x + ((x+2)(2)) = total cost

Step-by-step explanation:

The pencils = 60 cents

0.60x = (0.60, the money, multiplied by x number of pencils)

The pens = 2 dollars

2(x+2) = (2, the money, multiplied by x number of pencils + 2 more pens)

Answer:

($2.60x + $4  = TC(x)

Step-by-step explanation:'

The number of pens bought would be x + 2, where x is the number of pencils bought.  Then:

Total cost = ($0.60/pencil)x + ($2/pen)(x + 2) = ($2.60x + $4  = TC(x)

Answer:

it depends

Step-by-step explanation:

sometimes a teacher will accept "there are infinite solutions" but if  you cant you may need to do something else(this applies to basically everything)

for an example lets use x=1

(1,+infinity)

or

(1,-infinity)

(this is being graphed.)  (this may not apply to everything)

i hope this helps

Answer:

d

Step-by-step explanation:

The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Mr. Red's first year salary is $30,000 and it increases by $500 each year.

Now, Let number of months = n

We can formulate explicit rule for this sequence in simplified form as,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Therefore, The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

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Answer:

p(5,4)====P'(-4,5)....

Answer:

Is a solution

Step-by-step explanation:

Just do the division [tex]\frac{52}{13}[/tex]

Answer:

11

Step-by-step explanation:

To find the mean:

Add up all data values to get the sum then count the number of values in your data set. Lastly, divide the sum by the count.

Solution:

Thus,

2+ 5+7+7+8+9+11+ 14+22+25=110

110/10 = 11

Therefore, the mean is 11.

~lenvy~

Answer:

Step-by-step explanation:

just put them in order from least to greatest then find the middle number

Answer:

f(x)=x(x+4)(x+3)(x-4)(x-3)

Step-by-step explanation:

hello :

an  polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)

means : f(x)=x(x+4)(x+3)(x-4)(x-3)

Answer:

If you buy 3 pounds for $2, and have 8 dollars to spend, then multiply 2x4 to get $8. Since we multiplied by 4 for the money, we do the same thing for the pounds of grapes. So, we multiply 3x4 to get 12 pounds. So, you can buy 12 pounds of grapes for $8.

Step-by-step explanation:

Hope this helps! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP.

The partitions involves dividing the line into subsegments

The coordinate of the point on the directed line segment is (0.5,-2)

The given parameters are:-

line segment = (-1, -1) to (5,-5)

Segment ratio = 1 : 3

The coordinates of the partition is calculated as:

[tex](x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})[/tex]

Substitute known values

[tex](x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})[/tex]

Evaluate the products

[tex](x,y) = (\frac{2}{4},\frac{-8}{4})[/tex]

Evaluate the quotients

[tex](x,y) = (0.5,-2)[/tex]

Hence, the coordinate of the partition is (x,y) = (0.5,-2)

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1. d    2. a     3. c     4. b

[tex]1.d\ \{The\ intersection\ of\ three\ high\ lines\}[/tex]

[tex]2.\ a[/tex]

[tex]3.\ C[/tex]

[tex]4.\ b\ \{The\ intersection\ of\ three\ angular[/tex]

       [tex]bisectors\}[/tex]

I hope this helps you

:)

Answer:

Step-by-step explanation:

Various centers are defined for a triangle, depending on how they're constructed. Here, you're asked to match the construction with the name.

__

The orthocenter is the intersection of the altitudes of the triangle. Each altitude intersects a vertex and is orthogonal to the opposite side. The orthocenter will not be inside the triangle if the triangle is obtuse. The orthocenter of a right triangle is the right-angle vertex.

Figure D depicts the intersection of altitudes.

__

The incenter is the center of an inscribed circle of a triangle. The incenter must be the same distance from each side, so will be at the point of intersection of the angle bisectors. It always lies inside the triangle.

Figure B depicts the intersection of angle bisectors.

__

The centroid is the "center of gravity" of the triangle, the point at which the triangle could be balanced. Each median divides the triangle into two equal areas, so the intersection of medians marks a spot with equal area (weight) in every pair of opposite directions.

Figure C depicts the intersection of medians.

__

The circumcenter is the center of a circle that circumscribes the triangle. It is equidistant from the three vertices, so lies on the intersection of the perpendicular bisectors of the sides. It will lie outside the triangle for obtuse triangles. It is the midpoint of the hypotenuse of a right triangle.

Figure A depicts the intersection of perpendicular bisectors of the sides.

Answer:

0.15 or 3.05

Step-by-step explanation:

3*(5/100) = 15/100 = 3/20 = 0.15

or

3 5/100 = 305/100 = 61/20 = 3.05

dependiendo de lo que esté tratando de encontrar

lo siento si mi español es malo

espero que esto ayude

Using the Central Limit Theorem, it is found that the condition is not met, as there are less than 10 failures.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, 34 of the 40 seniors are planning to participate in graduation, hence:

Since there are less than 10 failures, the normal condition for finding a confidence interval is not met.

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Answer:

193.75in or 193 3/4 in.

Step-by-step explanation:

To find the area, multiply the length x width.

12.5 x 15.5 = 193.75in

:)

Answer:

193.75 inch

Step-by-step explanation:

Area= Length ×Width

12.5*15.5