Which angle in ABC has the largest measure?

Answer:

(1067)(6740)

=7191580

Step-by-step explanation:

I hope this help you :)

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Ok, here we can see in the graph that the function is negative when x <0.

Answer: he is right 38

Step-by-step explanation:

Answer:X = 13

Step-by-step explanation:

An exterior angle is equal to the sum of the two opposite interior angle

⇒95=4x+3 + 3x+ 1

95=4x + 3x + 3 + 1

95=7x + 4

95-4=7x

91=7x

91/7=x

13=x

This implies that X= 13

Answer:

k = 10

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

115° is an exterior angle of the triangle, thus

4k + 5 + 6k + 10 = 115, that is

10k + 15 = 115 ( subtract 15 from both sides )

10k = 100 ( divide both sides by 10 )

k = 10

Answer:

\( \rm \implies \frac{1}{3} (5x - 8) + \frac{2}{3} x \\ \\ \rm \implies \frac{5}{3} x - \frac{8}{3} + \frac{2}{3} x \\ \\ \rm \implies \frac{5x + 2x}{3} - \frac{8}{3} \\ \\ \rm \implies \frac{7x}{3} - \frac{8}{3} \\ \\ \rm \implies 2 \frac{1}{3} x - 2 \frac{2}{3} \)

Answer:

The set of whole numbers is closed by multiplication and addition.

Step-by-step explanation:

Answers are A and C

Hope it helped brainiest plz

The probability that the red die shows a three and the blue die shows a number greater than three is 1/12

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

Red die

Blue die

The sample space of a die is

{1, 2, 3, 4, 5, 6}

using the above as a guide, we have the following:

P(3) = 1/6

P(Greater than 3) = 1/2

So, we have

P = 1/2 * 1/6

Evaluate

P = 1/12

Hence, the probability of a three and and a number greater than three is 1/12

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Answer:

2. y= -4x-3

Step-by-step explanation:

y=mx+b

slope :m

(0,-3) : m.0+b=-3 => b=-3

(-1,1) : m.1+b= 1 => m=-4

Given the diameter and slant height of a cone:

Diameter of the cone = 20ft

The lateral area of a cone = πrl

The surface area of a cone = πr² + πrl

Answer:

2(x+y) - 23 or

2x + 2y - 23

Step-by-step explanation:

twice the sum of x and y means

2(x+y)

decreased means minus or -

decreased by 23 means

- 23

twice the sum of x and y decreased by 23

2(x+y) - 23

2(x+y) = 2x + 2y

2x + 2y - 23

Answer:

The rate of change of the weight of kitten A is greater than the rate of change of the weight of kitten B

Step-by-step explanation:

∵ The table shows the weight gain of kitten A

→ Choose two points from the table to find the slope

∵ Points (0, 3) and (1, 7) are two points in the table

∴ x1 = 0 and y1 = 3

∴ x2 = 1 and y2 = 7

→ Substitute them in the rule of the slope above

∵ m = \(\frac{7-3}{1-0}\) = \(\frac{4}{1}\) = 4

∵ The slope is the rate of change

∴ The rate of change of the weight of kitten A is 4 oz/week

∵ The graph shows the weight gain of kitten B

→ Choose two points on the line to find the slope

∵ Points (0, 4) and (2, 10) lies on the line

∴ x1 = 0 and y1 = 4

∴ x2 = 2 and y2 = 10

→ Substitute them in the rule of the slope above

∵ m = \(\frac{10-4}{2-0}\) = \(\frac{6}{2}\) = 3

∵ The slope is the rate of change

∴ The rate of change of the weight of kitten B is 3 oz/week

→ By comparing the two rates

∵ The rate of change of kitten A is 4 oz per week

∵ The rate of change of kitten B is 3 oz per week

∴ The rate of change of the weight of kitten A is greater than

   the rate of change of the weight of kitten B

Answer:

25

Step-by-step explanation:

8 fluid ounces = 1 cup so 200/8 = 25

The dimensions of pool 25.5m width, 76.5m length.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.

let x=  Width

formula of area of rectangle = Length x Width

Given;

\(\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}\)

We can substrate \(3x^{2}\) and 4 from both sides.

8x = 204

x = 25.5m width, 76.5m length.

(25.5)(76.5) = 1950.75 \(m^{2}\)

(27.5)(78.5) = 2158.75 \(m^{2}\)

The difference is 208\(m^{2}\)

The dimensions of pool 25.5m width, 76.5m length .

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At equilibrium, x = 260 and p = 112. The consumers' surplus at equilibrium is 133.6. The producers' surplus at equilibrium is 68.8.

x = 260

p = 11.2

Consumers' surplus = (39-11.2)x/2 = 133.6

Producers' surplus = (11.2-13)x/2 = 68.8

At equilibrium, the price-demand and price-supply equations intersect and determine the optimal level of production, known as x. In this case, the equilibrium value of x is 42 units and the price at which the goods are traded is 26 dollars.

The consumers’ surplus is the difference between the maximum price that a consumer would be willing to pay for a good and the prevailing market price. In this case, the maximum willingness to pay is 39 dollars and the market price is 26 dollars, thus the consumers’ surplus at equilibrium is 13 dollars. Similarly, the producers’ surplus is the difference between the prevailing market price and the minimum price that suppliers would be willing to accept for a good.

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Answer:

\(\sqrt{81}\), 6.54, \(\frac{12}{5}\), \(\sqrt{50}\)

Step-by-step explanation:

Rational Number: Numbers that end and do not go on forever. Example: \(\pi\)

Decimals (that end or repeat)

Fractions

Whole numebers

Square roots

Hope this helped!

a-3b=9

add 3b to both sides

a = 3b+9

The estimated population is 114.74 microorganisms after three hours.

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases with time.

a type of growth when the values' logarithms rise linearly with time. This indicates that the value increases faster than it would with linear development. A population that increases by 10% of its value each unit of time would be an example of exponential growth.

let A(f) = number of bacterial 'I' now. in

A(t) = Ao × e^kt

= 71 × e^(0.16XA)

For t = 3 hours

A(t) = 71 × e^(0.16×3)

= 114.74 bacteria

Complete question:

The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 16% per hour. Suppose that a sample culture has an initial population of 71 bacteria. Find the predicted population after three hours Do not round any intermediate computations, and round your answer to the nearest tenth bacteria

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As per the formula of surface area of cube, the length of the cube is 5.45 meters.

The general formula to calculate the surface area of the cube is calculated as,

=> SA = 6a²

here a represents the length of cube.

Here we know that  the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters.

When we apply the value on the formula, then we get the expression like the following,

=> 180 = 6a²

where a refers the length of the cube.

=> a² = 30

=> a = 5.45

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The answer to part (b) is that the inequality holds true for all nonnegative integers n

To prove the equation 1/2 + 3/2 + 5/2 + ... + (2n+1)/2 = (3(n+1)(2n+1)(2n+3))/8, we can use mathematical induction.

Step 1: Base Case

For n = 0, we have:

LHS: 1/2 = 1/2

RHS: (3(0+1)(2(0)+1)(2(0)+3))/8 = (3(1)(1)(3))/8 = 9/8

The equation holds true for n = 0.

Step 2: Inductive Hypothesis

Assume that the equation holds true for some arbitrary positive integer k, i.e.,

1/2 + 3/2 + 5/2 + ... + (2k+1)/2 = (3(k+1)(2k+1)(2k+3))/8

Step 3: Inductive Step

We need to prove that the equation holds true for n = k+1, i.e.,

1/2 + 3/2 + 5/2 + ... + (2(k+1)+1)/2 = (3((k+1)+1)(2(k+1)+1)(2(k+1)+3))/8

Starting from the left-hand side (LHS):

LHS: 1/2 + 3/2 + 5/2 + ... + (2(k+1)+1)/2

    = (1/2 + 3/2 + 5/2 + ... + (2k+1)/2) + (2(k+1)+1)/2

    = [(3(k+1)(2k+1)(2k+3))/8] + (2(k+1)+1)/2         [Using the inductive hypothesis]

    = (3(k+1)(2k+1)(2k+3) + 4(k+1)+2)/8

    = [(k+1)(2k+1)(6k+9+4+2)]/8

    = [(k+1)(2k+1)(6k+15)]/8

    = [(k+1)(2k+1)(2k+3)]/8 * 3

    = (3((k+1)+1)(2(k+1)+1)(2(k+1)+3))/8

Both sides are equal, so the equation holds true for n = k+1.

Step 4: Conclusion

By mathematical induction, we have proven that for any nonnegative integer n, the equation 1/2 + 3/2 + 5/2 + ... + (2n+1)/2 = (3(n+1)(2n+1)(2n+3))/8 holds true.

(b) To find the values of n for which 2n+3 ≤ 2^n, we can simplify the inequality:

2n+3 ≤ 2^n

2n+3 ≤ 2 * 2 * 2 * ... * 2 (n times)

2n+3 ≤ 2^n

Since the left-hand side (LHS) is a constant (3) and the right-hand side (RHS) is an exponential function, we can compare their values for different nonnegative integers n to determine when the inequality holds true.

For n = 0:

LHS: 2^0+3 = 4

RHS: 2^0 = 1

4 > 1, so the inequality holds true for n = 0.

For n =

1:

LHS: 2^1+3 = 5

RHS: 2^1 = 2

5 > 2, so the inequality holds true for n = 1.

For n = 2:

LHS: 2^2+3 = 7

RHS: 2^2 = 4

7 > 4, so the inequality holds true for n = 2.

We can continue this process and observe that for any nonnegative integer n, the inequality 2n+3 ≤ 2^n holds true. Therefore, the answer to part (b) is that the inequality holds true for all nonnegative integers n.

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The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.

A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.

The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.

The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.

The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.

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The acceleration at the time t = 2 is  -11.12 m/s²

The velocity seems to be quadratic.

Here we can see that the vertex of the parabola is at the point (6, 50), then we can write the velocity as:

v(t) = a*(t - 6)² + 50

Now let's find the value of a, we also can see that v(0) = 0, then:

0 = a*(0 - 6)² + 50

0 = 36a + 50

a = -50/36

a = 1.39

Then the velocity is:

v(t) = 1.39*(t - 6)² + 50

Expanding that we get:

v(t) = 1.39t² - 16.68t + 100.04

Derivating we will get the acceleration:

a(t) =  2*1.39*t - 16.68

Evaluating that in t = 2:

a(2) =  2*1.39*2 - 16.68 = -11.12

the acceleration is -11.12 m/s²

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126 yards

Step-by-step explanation:

Nine times fourteen is one hundred and twenty six

Answer:

Step-by-step explanation:

Comparing

This is not same as u = v, so the answer is false

Answer:

41

Step-by-step explanation:

2021 eng

Answer:

I think x²= 36

Step-by-step explanation:

because if the value of the x is 6, if six will be multiplied to itself the answer will be 36

The solutions to the equation (x + 2)(x - 4) = 0 are x = -2 and x = 4.

To solve the equation (x + 2)(x - 4) = 0 using the zero product property, we set each factor equal to zero and solve for x.

Setting (x + 2) = 0:

x + 2 = 0

x = -2

Setting (x - 4) = 0:

x - 4 = 0

x = 4

So the solutions to the equation (x + 2)(x - 4) = 0 are x = -2 and x = 4.

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