Question 1
A factory has to transport raw materials to a project site. The total weight of the raw material will not be less than 1,500 tons. The factory manager plans
to use two different trucking firms, Big Red has heavy duty trucks that can transport 200 tons at a cost of $50 per truckload. Common Joe is a more
economical firm, costing only $20 per load, but its trucks can transport only 90 tons. The factory manager does not wish to spend more than $450 on
transportation. The availability of trucks is the same for both firms.
Part A
What inequality will show the number of trucks used to transport the required raw material? Replace the inequality sign with the equal sign. Go to
your math tools and open the Graph tool to graph the resulting equation and paste it into the box below. Describe which part of the graph should
be shaded and whether the line should be dashed or not.

Answer:

Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.

I am super late

Answer:

-2 + 4f

Step-by-step explanation:

6 - 8 + 6f - 2f​

2(3 - 4 + 3f -f)     [Distributive Property]

=> 2(-1 + 3f - f)

=> 2(-1 + 2f)

=> -2 + 4f

Answer:

4f-2

Step-by-step explan:

6-8+6f-2f

6-8+4f

4f-2

Answer:

Your answer is 33.

step- by step :

29×29-22×22=841-484

= 357

Closest square of 18 which is 324.

So, 357-324= 33. ans.

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

16 labourers complete the construction

in 30 days

Step-by-step explanation:

mark me as a brainlist answer

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

Step-by-step explanation:

Answer:

14 Sq ft

Step-by-step explanation:

9×9=81

5×5=25

81-25=56

56÷4=14

Answer:

Step-by-step explanation:

The opposite side (the one not connected to A) = 4

The hypotenuse is 5

The adjacent side needs to be found for the cosine and the tangent.

a^2 + b^2 = c^2

a = opposite side = 4

b = adjacent side = ?

c = hypotenuse = 5

4^2 + x^2 = 5^2

16 + x^2 = 25          

x^2 = 25 - 16

x^2 = 9

x = sqrt(9)

x = 3

cos(A) = adjacent / hypotenuse = 3/5

Tan(A) = opposite / adjacent = 4/3

cos(A) + tan(A) = 3/5 + 4/3

cos(A) + tan(A) = 9/15 + 20/15 = 29/15

Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

Answer:

y = -1/2x - 8

Step-by-step explanation:

y = -1/2x - 8

A function is positive where it is above the x-axis

The valid solution for positive demand are; t = 3, and t = 2

The reason the above values are correct is as follows:

Known parameters:

The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]

Where;

C(t) = The demand of the cellphone (in millions of people)

t = The number of months

The condition positive demand is C(t) ≥ 0

Therefore;

[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]

[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]

[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]

t² + 4·t - 12 ≤ 9

t² + 4·t - 12 - 9 ≤ 0

t² + 4·t - 21 ≤ 0

(t - 3) × (t + 7) ≤ 0

∴ t ≤ 3, or t ≥ -7

At t = 2 < 3, we have;

C(2) = -√(2² + 4×2 - 12) + 3 = 3

At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)

Therefore, the valid solution for positive demand are;

t = 3, and t = 2

Learn more about the functions here:

https://brainly.com/question/24249596

Answer:

3,3

Step-by-step explanation:

Answer:

A = 7200(1.04)^3

A = 8099

Step-by-step explanation:

Answer:

72 x 3/7 < 72

Step-by-step explanation:

72 x 3/7 = 30 6/7. Therefore 72 is the bigger number.

I hope this helps you out :).

By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L

To understand this, first I want to give a brief explanation of how these graphs work.

You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.

Each of these 42 places is represented with a dot in the corresponding graph.  Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).

So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L

If you want to learn more, you can read:

https://brainly.com/question/16354226

Answer:

$200

Step-by-step explanation:

Fine calculated per mile = $10

Fine calculated for 'm' mile = 10 * m  = 10m

Cost paid by violator = 80 + 10m

m = 12 miles

Cost paid by the violator = 80 + 10*12

                                         = 80 + 120

                                         = $ 200

Answer:

b)A box from all 4 sides increases as the number increase

c)

Step-by-step explanation:

a+(n-1)d

a-first terms

d- difference

5+(n-1)4

5+4n-4

4n+1(the nth term)

so for 50th

its 4*50+1

Answer is 201 tiles

Hope this helps you :))

Answer:

So she earned 148 dollars and 50 cents or 148.5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

if it was 9.04 it would

its not equal because 9.40 is 10^2 but 9.4 is 10^1

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].

Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:

[tex](8-4)(2+3)=(4)(5)=20[/tex]

Hence, the maintained product is [tex]20[/tex].

Thus, we have the following equation:

[tex](x-4)(y+3)=20[/tex]

Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:

[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]

Answer:

4.2

Step-by-step explanation:

d=sqrt[(x1-x2)^2+(y1-y2)^2]

d=sqrt[(5-8)^2+(-5+8)^2]

d=sqrt[(-3)^2+(3)^2]

d=sqrt[9+9]

sqrt18=4.24

Hey there! I'm happy to help!

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QUESTION 18

Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).

[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right][/tex]

Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.

[tex]\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex]

So, your answer is [tex]\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex].

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QUESTION 14

We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.

[tex]\frac{x^2}{25} + \frac{y^2}{16}=1[/tex]

We subtract [tex]\frac{x^2}{25}[/tex] from both sides.

[tex]\frac{y^2}{16}=1-\frac{x^2}{25}[/tex]

We multiply both sides by 16.

[tex]y^2=1-\frac{x^2}{25}*16[/tex]

We square root both sides.

[tex]y=[/tex] [tex]\sqrt{1-\frac{x^2}{25}*16[/tex]

We can take a four out of our root (because 16 is a perfect square so it can be simplified more).

y= [tex]4\sqrt{1-\frac{x^2}{25}[/tex]

And we take out 1/5 (which is the square root of 1/25).

y=± [tex]\frac{4}{5}\sqrt{1-x^2[/tex]

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QUESTION 17

We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.

From now on, they will be winning 2/3 of their games. Let's look at the answer options.

A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.

B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.

C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.

D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.

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QUESTION 16

Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.

This eliminates answer choices B and D as they do not have the equal part on the inequality.

Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.

So, our final answer is A.

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QUESTION 12

You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:

2×2 times 2×1 YES

2×1 times 2×2= NO

3×3 times 3×1= YES

3×1 times 3×3= NO

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Have a wonderful day and keep on learning! :D

Answer:

y=2x

Step-by-step explanation:

we can set x=number of week, and y=inches

as you can see, 1 week-> x=1 :y=2(1) = 2 inches

                         2 week-> x=2 :y=2(2)=4 inches

**if we substitute x to  y = 2x + 2 and y = 4x + 2, it will not works.

Answer:

30%

Step-by-step explanation:

Answer:

-2.

Step-by-step explanation:

f(0) = 0^2 + 8(0) - 2

= -2.

Answer:

n=B-q/q

Step-by-step explanation: