What is the anwser 7/4 times 5/6

Answer:

69°

Step-by-step explanation:

180 - 21 -90 = 69

hope this helps...

Answer: The missing angle is 69°

Step-by-step explanation: When all the angles have their vertex on a straight line, they must add up to 180° They are "supplementary" angles.

The "box" in the corner of an angle is a symbol for "right angle" so that is a way to have a "given" 90°

Knowing that, you can add the "given" 90° + 21° to get 111°

Subtract 111° from 180° to find Angle a:

180 - 111 = 69

Step-by-step explanation:

\( \sqrt{4 \times 9 \times 16} = \sqrt{4} \times \sqrt{9} \times \sqrt{16} = 2 \times 3 \times 4 = 24\)

The cost function for a drug manufacturer producing a generic drug is c(y) = 3\(y^{3}\) - 10\(y^{2}\) + 200y

The cost function is a cubic function with positive coefficients for the \(y^{3}\) term and negative coefficients for the \(y^{2}\) term, indicating increasing costs at a decreasing rate. The y term represents variable costs, such as raw materials and labor, while the constant term represents fixed costs, such as overhead expenses.

The shape of the cost function suggests that as the number of doses produced and sold increases, the costs initially rise rapidly due to the cubic term but start to increase at a slower rate due to the decreasing quadratic term. Eventually, the cost curve may reach a point where it starts to increase more rapidly again.

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The function that gives the present value, PV, from 0 to t years is PV(t) = 12,000e^(-0.04t).

The present value, PV, of the function f(t) = 12,000e^(0.04t) (dollars per year) when money is worth 8% compounded continuously can be calculated using the formula PV(t) = f(t)e^(-rt), where r is the interest rate and t is the number of years.

In this case, the interest rate is 8% or 0.08, and the function f(t) is given as f(t) = 12,000e^(0.04t). Plugging these values into the formula, we have:

PV(t) = 12,000e^(0.04t)e^(-0.08t)

To simplify the expression, we can combine the exponential terms:

PV(t) = 12,000e^(0.04t-0.08t)

Simplifying the exponent, we get:

PV(t) = 12,000e^(-0.04t)

Therefore, This function represents the current value of the future cash flows at time t, taking into account the continuous compounding at an interest rate of 8%.

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The correct statement among the options (a)-(e) is d. neither the subjects nor the people administering the treatments know who received a treatment and who received an inactive substance.

In a double-blind, placebo-controlled experiment, both the subjects and the people administering the treatments are unaware of which participants received the active treatment and which received the placebo (inactive substance).

This is done to minimize bias and ensure the validity of the results. By keeping both the subjects and the administrators blinded to the treatment assignments, the study can effectively evaluate the true effects of the treatment without any potential influence from expectations or biases.

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Step-by-step explanation:

since sqrt(25)×sqrt(25) = 25, then x can be any number, because x = x in all cases. and then both sides of the equation are always equal, no matter what value we give x, as long as x is a factor in both sides.

sqrt(25)×x×sqrt(25) = 25x

is always true for every x.

if the question would be

sqrt(25)×x×sqrt(25) = 25

then the answer can only be x = 1. because for every other value of x the equality is destroyed.

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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The width of the river is 1700m

What is the time, distance & speed relation?

Speed is calculated by dividing the distance traveled by the amount of time it took to get there. Divide the distance by the speed to find the passing time. To get the distance, multiply the speed by time.

Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank

boat one has travelled 700 (rate = 700/unit time) boat two has travelled   x rate = x / unit time

boat one then travels   x  + 400  more      and boat two travels   700 + (700+x -400) more    when they meet

The time is the same:    

rate x time = distance  

distance/rate = time    

equate the distances divided by the respective rates

(700 + x + 400)/700     =    (  x  +  700     +  (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2 - 300x - 700000 = 0                        

quadratic formula yields  x = 1000  

One boat travels 700 the other 1000 when they first meet.....width of the river =   700+ 1000 = 1700 m

Hence, the width of the river is 1700m

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36 miles is the fewest number of miles she can walk in February

There are 28 days in February.

Every third day is 28/3 = 9.333 = 9 days of walking.

since she walks four miles,

9*4 = 36

Hence, 36 miles is the fewest number of miles she can walk in February

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Notice that AD is a diameter, therefore,

Furthermore, arcAB=25° and x° is the central angle that defined arcAB; thus, x°=25°.

Finally,

Thus, the answer is y=100

The correct answer is option b. -a³b − 8ab² + 7a³b.

To simplify (3a³b − 4ab² 5ab) − (4a³b 4ab² 5ab), you can follow these steps;Identify like terms.

Combine like terms according to the subtraction rules.Use the distributive property to simplify.

Combine the like terms you obtained in step 2.

Solution:On simplifying (3a³b − 4ab² 5ab) − (4a³b 4ab² 5ab),

we get; (3a³b - 4ab² - 5ab) - (4a³b - 4ab² - 5ab)

= 3a³b - 4ab² - 5ab - 4a³b + 4ab² + 5ab

We can now combine the like terms;

= (3a³b - 4a³b) + (-4ab² + 4ab²) + (-5ab + 5ab)

= -a³b + 0 + 0= -a³b

Therefore, the correct answer is option b. -a³b − 8ab² + 7a³b.

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Answer:

The solution is 13

Step-by-step explanation:

f(x) = 5x-2

f(3) = ......?

x = 3

f(3) = 5(3)-2

f(3) = 15-2

f(3) = 13

Answer:

RR' || SS'

Step-by-step explanation:

because if you look at the image you see that RR' is parallel to SS'

answer 0.0227014756

Step-by-step explanation:

or if you meant 312.775/7.1 it's 44.0528169

Answer:

1 1/2?

Step-by-step explanation:

Answer:

-4, 3 and 6

Step-by-step explanation:

Given

See attachment for complete question

Required

The roots of the polynomial

We have:

\(y = x^3 + 72\)

\(y = 5x^2 + 18x\)

When the above functions are plotted, the x-coordinate of the point of intersection are: -4, 3 and 6

Hence, the roots are: -4, 3 and 6

Answer:

it is -4, 3, 6.

Answer:

15

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!

Answer:

which equation i cant see a question or a photo of question

Answer:

£330

Step-by-step explanation:

The total ratio between Paul and Malachy is 2 + 3 = 5.

The amount that Paul will receive is:

2/5 * 2750 = £1100

The second ratio is between Paul, his wife and their son in the ratio 5:4:1. The total ratio between Paul, his wife and their son is:

5 + 4 + 1 = 10

The amount that Paul's wife will receive is:

4/10 * 1100 = £440

The amount that their son will receive is:

1/10 * 1100 = £110

Therefore, the amount that the wife will receive over the son is:

440 - 110 = £330

The most appropriate choice for percentage will be given by

Cost of fencing 1.1 foot = $5.995

Cost of sodding 1.1 sq. foot = $0.715

Total cost of fencing and sodding = $6.71

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example- 2% means \(\frac{2}{100}\)

Here,

Cost of fencing 1 foot = $5.45

10% of 1 foot = \(\frac{10}{100}\times 1\)

                     = 0.1 foot

1 foot + 10% of 1 foot = 1 + 0.1 = 1.1 feet

cost of fencing 1.1 foot = $5.45 \(\times\) 1.1 = $5.995

Cost of sodding 1 sq foot = $0.65

Cost of sodding 1.1 sq foot = $0.65 \(\times\) 1.1 = $0.715

Total cost of fencing and sodding = $(5.995 + 0.715)

                                                         = $6.71

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The problem involves Treyvon standing 9 yards from the base of a hill and throwing a water balloon from a height of 2 yards.

The path of the balloon is modeled by the polynomial equation h(x) = -0.1x^2 + 0.8x + 2. The task is to determine how far from Treyvon the balloon will hit the hill.

a. The polynomial equation that represents the situation is h(x) = -0.1x^2 + 0.8x + 2, where h is the height of the balloon in yards and x is the distance the balloon travels in yards. This equation takes into account the height of the balloon at different distances.

b. To find how far from Treyvon the balloon will hit the hill, we need to determine the x-value where the height of the balloon is equal to the height of the hill. Since the hill has a slope of 3/4, we can calculate the height of the hill at a given distance using the equation h_hill = (3/4)x + 2, where h_hill is the height of the hill at a distance x. By setting h(x) equal to h_hill and solving the resulting equation, we can find the distance at which the balloon hits the hill.

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Answer:

d

Step-by-step explanation:

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AB² = 7² + 4² = 49 + 16 = 65 ( take the square root of both sides )

AB = \sqrt{65} → D

Answer:

185

Step-by-step explanation:

10 x 15 = 150

The area of the rectangle is 150

17-10=7 meaning the legnth of the top part of the triangle is 7

15-5=10 meaning the height of the trangle is 10

10 x 7 =70

70/2=35

The area of the triangle is 35

35 + 150 = 185

The total area is 185

Answer:

(-1,1)

Step-by-step explanation:

To find where both lines intersect, solve for x and y with substitution.

Equation 1.

-8x+3y=11

Equation 2.

y=3x+4

Substitute y from equation 2 into equation 1.

-8x+3(3x+4)=11

-8x+9x+12=11

x=-1

Now plug x into the second equation to solve for y.

y=3(-1)+4

y=-3+4

y=1

Both lines intersect at (-1,1)

Answer:

  (-1, 1)

Step-by-step explanation:

It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.

The lines intersect at (-1, 1).

__

You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...

  -8x +3(3x +4) = 11

  x +12 = 11 . . . . simplify

  x = -1 . . . . . . . subtract 12

Substituting back into the second equation, we find y to be ...

  y = 3(-1) +4 = 1

The lines intersect at (x, y) = (-1, 1).

_____

Additional comment

The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.

Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.

⇒ Choose three values for \(x\) and substitute in to find the corresponding \(y\) values.

\((0,6),(1,11),(2,16)\)

Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.

Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;

\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)

In the given data;

n = 5

k = 4

p = 3/6 = 1/2

Using the binomial probability formula, we can calculate:

P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴

P(X=4) = 5 * (1/2)⁴ * (1/2)¹

P(X=4) = 5 * (1/16) * (1/2)

P(X=4) = 5/32

Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.

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A painter can paint 60 square feet every 1 hour.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A painter can paint 15 square feet every 1/4 hour.

Now,

Since, A painter can paint 15 square feet every 1/4 hour.

Let painter can paint in every 1 hour = x square feet

So, By definition of proportional as;

⇒ 15 / (1/4) = x / 1

Solve for x as;

⇒ 15 × 4 = x

⇒ x = 60 square feet

Thus, A painter can paint 60 square feet every 1 hour.

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The component form of the velocity vector becomes ⟨150√2, -150√2⟩. This represents the velocity vector's magnitude and direction in terms of its x and y components.

The component form of the velocity vector of an airplane traveling at 300 mph in the direction of S 45° E can be represented as ⟨300cos(45°), -300sin(45°)⟩. This breaks down the velocity vector into its horizontal (x) and vertical (y) components.

To determine the component form of the velocity vector, we need to consider the given direction and magnitude. The direction S 45° E can be broken down into two components: south (negative y-axis direction) and east (positive x-axis direction).

The magnitude of the velocity is given as 300 mph. The horizontal component of the velocity can be found by multiplying the magnitude by the cosine of the angle (45°) since cosine represents the adjacent side divided by the hypotenuse. Thus, the horizontal component is 300 * cos(45°) = 300 * √2 / 2 = 150√2.

Similarly, the vertical component of the velocity can be found by multiplying the magnitude by the sine of the angle (45°) since sine represents the opposite side divided by the hypotenuse. Therefore, the vertical component is 300 * sin(45°) = 300 * √2 / 2 = 150√2.

Combining these components, the component form of the velocity vector becomes ⟨150√2, -150√2⟩. This represents the velocity vector's magnitude and direction in terms of its x and y components.

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Answer:

6845.86

Step-by-step explanation: