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Answer: 5.3

Step-by-step explanation:

[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]

Answer:

If it is perpendicular: mperp..=-1/m, so:

mperpendicular= -6.

formula of the line passing through one point:

y-y0=m(x-x0)

so: y+2=-6(x+8)

y=-6x+48-2

y=-6x+46 is the answer

a) The proportional relationship is: M = 2.4R.

b) The graph of the proportional relationship is given by the first image at the end of the answer, and they would raise $2,400 selling 1000 tickets.

3. The slope of the function, and the relation with the graph, is as follows:

4. The graph is given by the second image at the end of the answer.

The slope-intercept representation of a linear function is given as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

A proportional relationship is a linear function with intercept zero, hence it is given as follows:

y = mx.

Item a states that the students collect $24 for selling 10 raffles, hence the slope is:

m = 24/10 = 2.4.

Hence the equation is:

M = 2.4R.

If they sold 1000 tickets, the amount they would raise is of:

y = 2.4 x 1000 = $2,400.

The domain of this graph excludes negative values, as the number of raffles sold cannot be negative.

The function for item 4 is:

y = 3/11(x - 2).

Hence the intercepts are:

The graph connecting these poins is the second one at the end of the answer.

The text before item a is:

The students collect $24 for selling 10 raffles.

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The expression given is;

The correct answer is option C

The coordinates of A' is (-0.5, 1)

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size.

Given:

A (-1,2) B(4,-3) and C (0,0)

First ABC is dilated by 0.5.

The transformation rule of this dilation is:

(x, y)--> 0.5 (x, y)--> (0.5x, 0.5y)

So, the coordinate of A' after dilation is

(-1, 2 ) --> 0.5(-1, 2)--> (-0.5 , 1)

Hence, the coordinates of A' is (-0.5, 1)

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We shall consider the options one after the other before choosing the best option;

Option 1;

Option 2;

Option 3;

Based on the calculations above, the third option is the best deal because that would make you pay the least amount per underwear. By choosing option 3, you will end up paying $0.38 for each underwear.

Therefore, "a package of 20 costs $7.60" is the best buy.

The inequality to illustrate the information that the minimum bid was more than $20,000 is b > 20000.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let the minimum bid be represented by b.

Since it's more than 20000, it implies that it's greater than. This will be illustrated as b > 20000.

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The measure of angle 4 is 72°

We can observe that we have been given two parallel lines intersected by a transversal.

We need to find the measure of angle 4.

We can observe that angle which measures 72 degrees angle 4 are corresponding Angles.

We know that the Corresponding Angles are congruent.

Therefore, the measure of angle 4 is 72°

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Answer:

40%

Step-by-step explanation:

20 x 5 = 100

8 x 5 = 40

Which means 8 out of 20 is 40% of 20.

For the following equations, by the trial and error method in 2(p-3) =6  the value of p is 9

Trial and error is assuming a value for a unkown variable, observing if it works, and if it doesn't trying a new value for the variable.

2p-3 = 15

p=6

2(6) -3 = 9

p=7

2(7)-3 = 11

p=8

2(8)-3 = 13

p=9

2(9)-3 = 15

so, p is 9

For the following equations, by the trial and error method in 2(p-3) =6  the value of p is 9

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Answer:

[tex]\textsf{$\boxed{\sf No}$\;. The area of the bottom face of the prism is $(3x^2+3x-4)\; \sf ft^2$, and the product}[/tex]

[tex]\textsf{of $(3x-1)$\;ft\;and $\left(\; \boxed{2}\:x-\boxed{2}\;\right)$ ft\;is\;$\left(\; \boxed{6}\:x^2-\boxed{8}\:x+\boxed{2}\;\right)$\;ft$^2$.}[/tex]

Step-by-step explanation:

Given dimensions of a rectangular prism:

The area of the base of a rectangular prism is the product of the width of the base and the length of the base.

To determine if length b could be (3x - 1) ft, multiply b by the width of the base of the prism.

[tex]\begin{aligned}\implies \sf Area\;of\;base&=\sf length \times width\\&=b \times (2x-2)\\&=(3x-1)(2x-2)\\&=3x(2x-2)-1(2x-2)\\&=6x^2-6x-2x+2\\&=6x^2-8x+2\end{aligned}[/tex]

Therefore, the length of b cannot be (3x - 1) as the area of the base when b is (3x - 1) is not equal to the given area of the base.

[tex]\textsf{$\boxed{\sf No}$\;. The area of the bottom face of the prism is $(3x^2+3x-4)\; \sf ft^2$, and the product}[/tex]

[tex]\textsf{of $(3x-1)$\;ft\;and $\left(\; \boxed{2}\:x-\boxed{2}\;\right)$ ft\;is\;$\left(\; \boxed{6}\:x^2-\boxed{8}\:x+\boxed{2}\;\right)$\;ft$^2$.}[/tex]

Answer:

A is the correct answer.

Simplifying,

Given the following quadratic expression:

Let's check if the given equation can be solved by factoring.

a.) Let's determine the original equation.

From the original equation, we observed that the constant 155/9 is not a perfect square. For the original quadratic equation to be factorable, we must apply the method of completing the square.

Therefore, we can say that the original quadratic equation can't be solved by factoring.

Given:

• Profit per camera = $186

• Cost of replacing the camera = $3100

• Probability it will be replaced once = 4% = 0.04

• Probability it will be replaced twice = 1% = 0.01

• Probability it will not be replaced = 95% = 0.95

Now, let's determine if the company should expect to make money or lose money from selling the camera.

Let's find the expected cost of repair.

We have:

E = (0.04 x 3100) + (0.01 x 2 x 3100) + (0.95 x 0)

E = 124 + 62 + 0

E = 186

Therefore, the expected cost of repair is $186.

We can see the profit per camera and the expected cost of repair are the same.

Profit per camera = Expected cost of repair

Since they are equal, the company should expect to neither make nor lose money from selling these cameras.

ANSWER:

Brady & Matthew should expect to neither make nor lose money from selling these cameras.

Answer:

A//F

CE

BD

Step-by-step explanation:

since its an equilateral triangle you can split in half easily

The probability that exactly three insects will die is 0.343

Given 70% chance that an insect will die.

let A be the event that 1 insect dies.

P(A) = 0.7

The probability that the insect will not stay alive

= 1 - P(A)

= 1 - 0.7

= 0.3

Now there is a sample of 10 insects that are affected by the insecticide.

Therefore number of ways exactly 3 insects will die using binomial distribution is

= 10C3  × (0.7)³ × (0.3)⁷

= 120 × (0.7)³ × (0.3)⁷

=0.00901

≈ 0.009

Hence the required probability is 0.009 .

A probability distribution is an idealised frequency distribution. The frequency distribution of a certain sample or dataset serves as a description of it.

It is the frequency with which each conceivable value of the variable appears in the dataset. How frequently a value emerges in a sample is determined by its probability of occurrence.

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Answer:2- 0.99 = 1.01

Step-by-step explanation:

2=2.00

2.00-0.99=1.01

easy

Answer:

Step-by-step explanation:

huhhhhh

Answer:

The second scale gives us a bigger drawing than the first scale.

Explanation:

Let's draw the initial scale figure with its measures in centimeters:

So, if the scale is 1 cm to 30 meters, the true length of side A will be:

In the same way, the true length of sides B and D of a playground is:

Now, if we scale the length in meters to centimeter but using the new scale 1 cm to 20 meters, we get that the new scale lengths will be:

So, the new scale drawing is:

Then, we can compare both scale drawing and observe that the second scale gives us a bigger drawing than the first scale.

We need to operate the next matrixes.

First, subtract the next matrixes:

13 10 7

6 8 1

2 5 0

-

3 -2 6

14 -6 11

8 -12 9

=

13-3 10-(-2) 7-6

6-14 8-(-6) 1-11

2-8 5-(-12) 0-9

=

10 12 1

-8 14 -10

-6 17 -9

Now, the result adds to the next matrix:

10 12 1

-8 14 -10

-6 17 -9

+

6 10 15

10 0 9

1 0 7

=

10+6 12+10 1+15

-8+10 14+0 -10+9

-6+1 17+0 -9+7

=

16 22 16

2 14 -1

-5 17 -2

Therefore, the correct answer is the first one.

To be able to make x/y table, we substitute any number as x in the given equation y = -1/3x - 2.

Let's create a table,

x solution y

-6 -1/3(-6) - 2 = 2 - 2 0

-3 -1/3(-3) - 2 = 1 - 2 -1

0 -1/3(0) -2 = 0 - 2 -2

3 -1/3(3) - 2 = -1 - 2 -3

6 -1/3(6) - 2 = -2 - 2 -4

We have to find the equation of a circunference with:

As it is a circunference that passes through a point, we know that the distance between the center and the point must be the radius, as all points in a circunference are at the same distance from the center.

We will find then the radius, by calculating the distance:

Now, this means that the radius is √90.

We use the standard form for the equation of a circle:

where (h,k) is the center of the circle. In this case,

And replacing, we obtain that the equation of the circle is:

step 1

the probability of get 4 in one dice is

P=1/6

so

the probability of get 4 in two dices is

(1/6)*(1/6)=1/36

The length of the guy wire, using similar triangles, is of:

43 feet.

Similar triangles are triangles that share these two features listed as follows:

The height h of the tower can be found using similar triangles, as the two right triangles are similar.

The equivalent measures are given as follows:

Hence the proportional relationship is:

h/7 = 17/3

Applying cross multiplication:

3h = 17 x 7

h = 17 x 7/3

h = 39.67 ft.

Then, applying the Pythagorean Theorem, the length of the guy wire is of:

l² = 39.67² + 17²

l = sqrt(39.67² + 17²)

l = 43 feet. (rounded down).

(the pythagorean theorem is applied as the length of the guy wire is the hypotenuse of the right triangle).

The problem is given by the image at the end of the answer.

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Given the table:

X -3 , 0 , 3 , 6

Y 3, 7, 11, 15

We can write the ordered pairs of the function:

(-3, 3), (0, 7), (3, 11), (6, 15)

Any pair of ordered pairs can be used to calculate the slope, assuming they all belong to the line.

Let's pick the points (-3, 3) and (0, 7). The formula to calculate the slope is:

Substituting:

It can be verified that the slope is 4/3 regardless of the points selected to calculate it.

Answer: 4/3

Find the derivative of the function. Remember to use logarithmic properties before differentiating.



y = x(3^2x)​

______________________________

y= u(x) v(x)

u(x) = x

v(x) = 3^2x

_____________

u'(x) = 1

____________

y = a ^f (x)

y'= f '(x) a ^f (x) (ln a)

v(x) = 3^2x

v'(x) = 2 * 3^2x* ln (3)

_______________

dy/ dx = u'(x)v(x) + u(x) v'(x)

dy/ dx = 1* 3^2x + x *2 * 3^2x* ln (3)

dy/ dx = 3^2x (1+2x* ln (3))

________________

Answer

dy/ dx = 3^2x (1+2x* ln (3))

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By using ratio, it is obtained that if there are 8 atoms of hydrogen, there are 4 atoms of oxygen.

What is ratio?

Ratio is used to find a comparision between two quantities with the same unit

The first part of the ratio is called antecedant and the second part of the ratio is called consequent.

Here,

In a molecule of water, there are 2 atoms of hydrogen and 1 atom of oxygen

Ratio of hydrogen and oxygen = 2 : 1

Number of atoms of hydrogen = 8

Let the number of hydrogen atom be 2x and number of oxygen atom be x

By the problem,

[tex]2x = 8\\x = \frac{8}{2}\\x = 4[/tex]

Number of oxygen atom = 4

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We have the following equation

so the percent increase is 25%