When Jackie woke up, the temperature was 70 °F. For the next 5 hours, the temperature rose by 4 °F each hour. Write an equation in the form y = mx + b that Jackie can use to find the temperature x number of hours after she woke up.​

Answer:

So the answer is C. (x - 3)^2.

Step-by-step explanation:

The complete square corresponding to x^2 - 6x is (x - 3)^2.

A complete square is a trinomial that can be written in the form (x - a)^2, where a is a constant. To find the complete square of x^2 - 6x, we need to rewrite x^2 - 6x into the form (x - a)^2. We do this by adding and subtracting a constant term to make the trinomial a perfect square.

x^2 - 6x + 9 = (x - 3)^2

So the answer is C. (x - 3)^2.

The length of segment AC is equal to 9.

Since B is between A and C, we can use the fact that AB + BC = AC. Similarly, since C is between B and D, we can use the fact to state the lengths of the following segments that: CD + BC = BD.

Substituting the given values, we get:

AB + BC = AC

CD + BC = BD

We are given segments BD = 7 and BC = 3, so we can substitute these values:

CD + 3 = 7

Solving for CD, we get:

CD = 7 - 3

CD = 4

Now we can use the fact that AD = AC + CD to solve for the length of segment AC:

AD = AC + CD

13 = AC + 4

AC = 9

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Answer:

C

Step-by-step explanation:

Two less than 7 times a number equals 33 = 7x - 2 = 33. Sorry I cant really explain :/

Hope my answer helps!

The expression that represents the amount of money the friends still need to collect to meet their goal is 5x² - 7xy + 20. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four fundamental mathematical operations that can be used to express any real number are referred to as "arithmetic operations" in mathematics. The four operations are addition, subtraction, division, and multiplication.

We are given the total contribution goal as 8x² - 4xy + 9

Amounts collected by:

Martin = 3xy + 17

Tyreese =  x²

Braydon = 2x² - 6

So, the total amount collected till now is

(3xy + 17) + x² + (2x² - 6) = 3x² + 3xy - 11

Amount left to be collected is

⇒(8x² - 4xy + 9) - (3x² + 3xy - 11)

⇒8x² - 4xy + 9 - 3x² - 3xy + 11

⇒5x² - 7xy + 20

Hence, the expression is 5x² - 7xy + 20.

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Answer:

(-1,3) and (3,-5)

Step-by-step explanation:

I'm assuming since it is giving no information that it wants where the two graph intersect each other.

So, by the looks of it they intersect at

(-1,3) and (3,-5)

1) Note that the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water.

2) The equation that represents the relationship between the volume of water in the pool in gallons "V) and the elapsed time in hours, t, since the hose was turned on today is V = 800t + 2000.

Note that to get the right expression above we have to solve for the slope of the graph.

1) To arrive at the answer in 1 above, we only have to examine the y-intercept. since at time (t) =0 the volume of water (gallons) indicated on the graph is 2000 gallons, thus, it is correct to state that:

"the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water."

2) From the graph, we can see the equation must be linear.
That is:

y = mx + b

Where y = V = Volume of Water in the Pool in Gallons

m = Slope

x = t = elapsed time in hours
b = y- intercept = already given as 2000

Thus:

To get m (slope) we need to use the above equation:
m = rise/run = y2-y1/x2-x1

Take
y1 = 6000

y2 = 10,000

x1 = 5

x2 = 10

Substituting the given values, we get:

m = (10,000 - 6,000) / (10 - 5)

m = 4,000 / 5

m = 800

Therefore, the slope of the line passing through the points (5, 6000) and (10, 10,000) is 800.
Having derived m, the full expression is thus given as:

V = 800t + 2000.

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Full Question:
See attached for full question

The intercepts of the line are x intercept: (4.3,0) y-intercept: (0,-13)​

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

y+1=3(x − 4)

To calculate the x-intercept, we set y to 0

So, we have the following representation

0+1=3(x − 4)

This gives

x - 4 = 1/3

So, we have

x = 4.33

To calculate the y-intercept, we set x to 0

So, we have the following representation

y + 1 = 3(0 − 4)

This gives

y + 1 = -12

So, we have

y = -13

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(a) The number of washers that can be cut from a sheet of steel is 12,732 washers.

(b) No additional washers could be cut from the metal left over after it was remelted and cast into a sheet of the same thickness and width (1 m).

First, we need to calculate the area of the washer, which can be done as follows:

Area = π (de/2)² - π (di/2)²

= π(0.02 m/2)² - π (0.01 m/2)²

= 0.000236 m²

Now, we can calculate the number of washers that can be cut from a 3m x 1m sheet of steel:

Number of washers = (Area of the sheet) / (Area of the washer)

= (3 m x  1 m) / 0.000236 m²

= 12,732 washers

Next, we need to find the area of the metal left over after cutting the 12,732 washers. This can be calculated as follows:

Area of the metal left over = (3 m²) - (12,732  x 0.000236 m²)

= 3 - 3.05

= -0.05 m²

Since the metal left over is negative, it means that not enough metal was available to cut 12,732washers. Hence, 12,732 is the maximum number of washers that can be cut from a 3m x 1m sheet of steel.

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If the ratio of cars to trucks on the lot is 11 to 33 and there are currently 51 trucks for sale, then there are 17 cars for sale

The ratio of cars to truck on the lot = 11 : 33

Total number of trucks for sale = 51 truck

Consider the number of cars for sale = x

Then the ratios will be

11/33 = x / 51

Cross multiply the terms in the equation

33x = 51 × 11

33x = 561

Move 33 to the right hand side of the equation

x = 561 / 33

Divide the terms

x = 17

Therefore, the number of cars does the dealer have for sale is 17

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The cattleman should bid on cows that weigh at least 944.0 pounds, which is the weight corresponding to the top 5% of the normally distributed weights of cows.

To determine the lowest weight cow that the cattleman should bid on, we need to find the weight that corresponds to the top 5% of the weight distribution.

Using the standard normal distribution, we can find the z-score that corresponds to the top 5% of the distribution as follows:

z = invNorm(0.95) ≈ 1.645

where invNorm is the inverse of the standard normal cumulative distribution function, which can be found using a statistical calculator or a standard normal distribution table.

Next, we can use the z-score formula to convert the z-score to a weight value:

z = (x - μ) / σ

Solving for x, we get:

x = z * σ + μ

Substituting the values given in the problem, we get:

x = 1.645 * 74.8 + 825.0

x ≈ 944.0 pounds

Therefore, the cattleman should bid on cows that weigh at least 944.0 pounds.

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Answer:

0 over 12

Step-by-step explanation:

3/4 is equal to 9/12

so your basically taking 9/12 from 9/12

Answer:

Step-by-step explanation:

Sorry cant help 18.85%

Since the research company is making a claim about the proportion of college students who shop online and Jamila is taking a sample of college students to test this claim, she should use a one-proportion z-test.

A one-proportion z-test is used to test whether the proportion of successes in a sample is significantly different from a hypothesized proportion. Here, the hypothesized proportion is 75% (the claim made by the research company) and the sample proportion is 120/200 = 0.6.

Jamila can use the one-proportion z-test to determine whether the difference between the sample proportion and the hypothesized proportion is statistically significant. The null hypothesis is that the sample proportion is equal to the hypothesized proportion (i.e., p = 0.75), and the alternative hypothesis is that the sample proportion is not equal to the hypothesized proportion (i.e., p ≠ 0.75).

Based on the sample size and the fact that the population standard deviation is not known, Jamila should use the normal approximation to the binomial distribution to perform the one-proportion z-test.

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The ordered pair of the inequality will be (9,-3).

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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Answer:

Below

Step-by-step explanation:

1 + 19/10 + 8/100   = 1   +  1.9    + .08   =  2.98

Answer:

x = 59.036°

Step-by-step explanation:

tan (BÂC) = BC/AB

tan= opposite/ adjacent

Then subs AB = 3 BC= 5 BÂC= x into tan (BÂC) = BC/AB

tan(x)=5/3

x= tan^-1 (5/3)

x= 59.036°

After 412 years there will be no trees at the state park.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

From the given information,

Slope(m) = (42 - 48)/(5 - 0).

Slope(m) = - 6/5.

b = 48,                                       As y-intercept(0, 48).

Therefore, y = - (6/5)x + 48.

Now, y = - (6/5)×412 + 48.

y = - 446.4 trees per acre, But there will be no trees as it came out to be a negative value.

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The equations for the measures of the unknown angles x and y that are correct are (b), (c) and (e).

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Sin θ = Opposite Side to θ/Hypotenuse

Cos θ = Adjacent Side to θ/Hypotenuse

Tan θ = Opposite Side/Adjacent Side

Cot θ = Adjacent Side/Opposite Side

Sec θ = Hypotenuse/Adjacent Side

Cosec θ = Hypotenuse/Opposite Side

where, Hypotenuse (the longest side), Perpendicular (opposite side to the angle), Base (Adjacent side to the angle)

The inverse ratios start with the ratio and then find the angle that produces this ratio.

(a) x=cos−1(a/c)

(b) x=sin−1(c/b)

(c) x=tan−1(c/a)

(d) y=sin−1(a/c)

(e)y=cos−1(c/b)

The equations for the measures of the unknown angles x and y that are correct are (b), (c) and (e).

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Step-by-step explanation:

oh, come on ! we are dealing with rectangles.

and you know how to get the perimeter and the area of a rectangle. upper elementary school students can do that.

remember, the perimeter is the distance when you walk all around the rectangle.

so, 2 times the length and 2 times the width.

and the area is simply length × width.

but your teacher was very lazy and careless with some phrasing about what is needed.

the original room is 8 ft × 3 ft.

1.

the length of border needed is exactly the perimeter.

so,

2×8 + 2×3 = 16 + 6 = 22 ft

2.

the area of the floor is

8×3 = 24 ft²

this is the amount of floor panels to be bought. we buy them in ft².

3.

the new room is (8+3) ft × (3-2) ft. = 11 ft × 1 ft.

that is a very strange room. no human can live in such a room.

I think your teacher meant (8-2) ft × (3+3) ft = 6 ft × 6 ft.

but let's stick with the original information.

the border for this room (perimeter) is

2×11 + 2×1 = 22 + 2 = 24 ft

4.

the floor area is

11 × 1 = 11 ft²

if we consider my correction of the room size, it is

6×6 = 36 ft²

5.

"difference in size" is not clear. regarding the dimensions (side lengths and correspondingly the perimeter) or regarding the floor size ?

if we consider the perimeter, the difference is

24 - 22 = 2 ft

the new room's perimeter is 2 ft less.

if we consider the floor area, the difference is

24 - 11 = 13 ft²

the new room is 13 ft² smaller.

or for my size correction, the difference is

36 - 24 = 12 ft²

the new room is then 12 ft² larger.

The percentage of the increase in the temperature of the mixture is 27.34%.

What is the percentage?

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. Per 100 is what the term percent signifies. The sign "%" represents it.

Here are some percentage examples:

10% is 1/10 of a fraction.

20% is equal to a 1/5 portion.

25% is equal to 1/4 fractions.

Now,

As percentage increase = (final value-initial value) / initial value *100

Here initial temperature=12 1/4 F=49/4 F and

Final temperature = 15 3/5=78/5 F

then (final value-initial value) =78/5-49/4=15.6-12.25

=3.35

therefore, percentage increase=3.35/12.25*100

=0.2734*100

=27.34%

Hence,

           The percentage of the increase in the temperature of the mixture is 27.34%.

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Answer:

A handtowel costs $2.00 and a bathtowel is $9.00

Step-by-step explanation:

Let h equal the cost of a handtowel. And let b equal the cost of a bathtowel.

In Campbell, they spent:

255 = 6h + 27b

In Lowell, they spent:

343 = 50h + 27b

Solve the system.

see image.

The solution of the given expression results as 105(x+2)/33-x

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are Given the expression;

[3(x+2)*10*7]÷70 - 2(x+2)

Solving further

= 3(x+2)*70÷70 - 2(x+2)

= 210(x+2)/70-2x-4

= 210(x+2)/66-2x

= 210(x+2)/2(33-x)

= 105(x+2)/33-x

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y=6, x=16

you create a system with the two variables and manipulate an equation so that you can substitute in the other to make it a single-variable equation. you then solve for that variable by isolating it and you can solve for the second variable afterwards. hope this helps!