what is derivate in math ?​

Answer:

5\(\sqrt{5x}\)

Step-by-step explanation:

\(\sqrt{320x}\) = 8\(\sqrt{5}\)\(\sqrt{x}\)

\(\sqrt{45x}\) = 3\(\sqrt{5}\)\(\sqrt{x}\)

and then just subtract them

Answer:

\(5\sqrt{5x}\)

Step-by-step explanation:

Given expression:

\(\sqrt{320x}-\sqrt{45x}\)

Rewrite 320 as 64 · 5 and rewrite 45 as 9 · 5:

\(\implies \sqrt{64 \cdot 5 \cdot x}-\sqrt{9 \cdot 5 \cdot x}\)

\(\textsf{Apply the radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies \sqrt{64} \sqrt{5x}-\sqrt{9} \sqrt{5x}\)

Rewrite 64 as 8² and 9 as 3²:

\(\implies \sqrt{8^2} \sqrt{5x}-\sqrt{3^2} \sqrt{5x}\)

\(\textsf{Apply the radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies 8\sqrt{5x}-3\sqrt{5x}\)

Factor out the common term \(\sqrt{5x}\):

\(\implies (8-3)\sqrt{5x}\)

Subtract the numbers:

\(\implies 5\sqrt{5x}\)

Answer:yes

Step-by-step explanation:

3 divided by 41 has a remainder of 2

Answer:

Yes

Step-by-step explanation:

3 does not go into 41 evenly, so it will automatically have a remainder or decimal

The image of the triangle is missing, so i have attached it.

Answer:

Option D: 8

Step-by-step explanation:

We are given;

AB = 10

AD = 25

AE = 20

We want to find length of AC.

By proportion, we can find length of AC. Thus;

AB/AD = AC/AE

Plugging in the relevant values, we have;

10/25 = AC/20

AC = (10 × 20)/25

AC = 8

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

The equilibrium quantity and the equilibrium price for the calculators are 1922 units and $78 respectively.

Demand:

x + 7p - 1376 = 0

x = - 7p + 1376

Supply:

x - 25p + 1120 = 0

x = 25p - 1120

Where,

equate the quantity demanded and supplied

- 7p + 1376 = 25p - 1120

-7p - 25p = -1120 - 1376

- 32p = -2,496

p = -2,496 / - 32

p = $78

x = - 7p + 1376

= -7(78) + 1376

= 546 + 1376

= 1922 units

So therefore, the equilibrium quantity and the equilibrium price for the calculators are 1922 units and $78 respectively.

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Answer:

A. −8 + 0 = -8

B. 1 × (−14) = -14

C. 19 ÷ 1 = 19

D. 0 × 104 = 0

E. −21 − 0 = 0

Step-by-step explanation:

Anything times or divided by 1 equals the other number that is not 1.

Example 1: 2,999 x 1 = 2,999

Example 2: 2,999 ÷ 1 = 2,999

Anythings times or divided by 0 is 0.

Example 1: 2,999 x 0 = 0

Example 2: 2,999 ÷ 0 = 0

Therefore, the measure of angle ∠Y to the nearest tenth of a degree is approximately 103.2 degrees.

To find the measure of angle ∠Y, we need to use the law of cosines, which relates the lengths of the sides of a triangle to the cosine of its angles.

The formula for the law of cosines is:

\(c^2 = a^2 + b^2 - 2ab cos(C)\)

Where a, b, and c are the lengths of the sides of the triangle, and C is the angle opposite to side c.

In our case, we know the lengths of the sides w, x, and y, and we want to find the angle ∠Y, which is opposite to side y. So, we can use the formula as follows:

\(y^2 = w^2 + x^2 - 2wx cos(Y)\)

Substituting the values, we have:

\(630^2 = 170^2 + 590^2 - 2(170)(590) cos(Y)\)

Simplifying and solving for cos(Y):

\(cos(Y) = (170^2 + 590^2 - 630^2) / (2170590)\)

cos(Y) ≈ -0.236

Note that the cosine of an angle is negative if the angle is between 90 and 180 degrees, which is the case for angle ∠Y in this triangle. Therefore, we need to use the inverse cosine function to find the measure of angle ∠Y:

Y ≈ 103.2 degrees

Rounding to the nearest tenth of a degree, we get:

Y ≈ 103.2°

Therefore, the measure of angle ∠Y to the nearest tenth of a degree is approximately 103.2 degrees.

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Answer:

Therefore, 7/8 is equal to 87.5 percentage

Step-by-step explanation: brainliest?

The possible outcomes are the sample space of the game

The number of possible outcomes in the game is 3

The number of games is given as:

n = 5 i.e. 5 games to finish the season

In each game, the soccer team can either win, lose or tie.

So, we have the outcome of each game to be:

Outcome = {Win, Lose, Tie}

Count the outcomes

Count = 3

Hence, the number of possible outcomes in the game is 3

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Answer:

21

Step-by-step explanation:

you stoopid

Answer:

9 + 10 = 37 1/2

Step-by-step explanation:

i forgor

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

Answer:

x = -7/2

y = -13/2

Step-by-step explanation:

Solve for y in the first equation.

y = 4 + 3x

Put y as 4 + 3x in the second equation and solve for x.

-9x + 5(4 + 3x) = -1

-9x + 20 + 15x = -1

6x + 20 = -1

6x = -21

x = -21/6

x = -7/2

Put x as -7/2 in the first equation and solve for y.

y = 4 + 3x

y = 4 + 3(-7/2)

y = 4 + -21/2

y = -13/2

Answer:

Rodayo played 3 1/4 periods in all

Step-by-step explanation:

Answer:

3 1/4, or 4 periods if it’s rounded (which I think not)

Step-by-step explanation:

First, add the wholes 1 + 1 = 2

Next, add the fractions 1/2 + 3/4

Taking from that, you would have 13/4 all together, turning the wholes into fractions.

If your looking for decimals, it’s 3.25

You find the total by adding fractions

The zeros of the polynomial p(x) = x³ + x² + 8x - 60 will be (- 2 + √4 i), (- 2 - √4 i) and 3.

Given that:

Polynomial, p(x) = x³ + x² + 8x - 60

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

At x = 3, then we have

p(3) = 3³ + 3² + 8(3) - 60

p(3) = 60 - 60

p(3) = 0

The one zeros are 3. Then the other two zeros are given as,

(x³ + x² + 8x - 60) / (x - 3) = 0

[(x - 3)(x² + 4x + 20)] / (x - 3) = 0

x² + 4x + 20 = 0

x = [-4 ± √(4² - 4 × 1 × 20)] / (2 × 1)

x = - 2 ± √4 i

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer: 58

Step-by-step explanation:

To find the measure of angle BDC, we can use the fact that the sum of the angles in a triangle is 180°

We can start by finding the measure of angle ABD, which is complementary to angle DAB, using the fact that the sum of complementary angles is 90°.

m/DAB = 32°, so m/ABD = 90° - 32° = 58°.

Since angles ABD and BDC are opposite angles formed by intersecting lines, they are congruent.

Therefore, the measure of angle BDC is 58°.

Answer: m/BDC = 58°.

Answer:

148 degrees

Step-by-step explanation:

2 Remote interior angle added to one another equals the measure of the exterior angle

44+104=148

The area of the sector, to 4 decimal places, is: 78.6794 cm².

Area of sector = ∅/360 × πr².

Given the following:

Area of sector = 46/360 × π(14²)

Area of sector ≈ 78.6794 cm²

The area of the sector is approximately 78.6794 cm².

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Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

............, .......

The probability that a point chosen at random lies on the shaded region is given as follows:

4/7.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The area of the shaded region in this problem is given as follows:

4² = 16.

The total area of the figure is given as follows:

16 + 2 x 1/2 x 3 x 4 = 28.

Hence the probability is given as follows:

16/28 = 4/7.

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The P-value for the test is 1.804 and the 95 percent confidence interval on the difference in mean diameter measurements for the two types of calipers is [-0.00147, 0.00347].

a) To determine if there is a significant difference between the means of the population of measurements from which the two samples were selected, we can use a two-tailed t-test. We can calculate the t-statistic as follows:

t = (x1 - x2) / sqrt[((s1^2)/n1) + ((s2^2)/n2)]

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

For this example, the sample means are x1 = 0.266 and x2 = 0.267. The sample standard deviations are s1 = 0.0017 and s2 = 0.0015. The sample sizes are n1 = 12 and n2 = 12.

Plugging these values into the formula, we get:

t = (0.266 - 0.267) / sqrt[((0.0017^2)/12) + ((0.0015^2)/12)] = -0.145

The critical t-value for a two-tailed test at a significance level of 0.05 with 11 degrees of freedom is 2.201. Since our calculated t-value of -0.145 is not greater than the critical t-value, we can conclude that there is not a significant difference between the means of the population of measurements from which the two samples were selected.

b) The P-value for the test in part (a) is the probability of obtaining a test statistic as extreme as the one we calculated (or more extreme) if the null hypothesis is true. We can calculate this probability as follows:

P = 2 * P(t <= -0.145)

where P(t <= -0.145) is the cumulative probability of the t-distribution with 11 degrees of freedom at -0.145.

Using the t-distribution table, the cumulative probability of t at -0.145 is 0.902. Thus, the P-value for the test in part (a) is P = 2 * 0.902 = 1.804.

c) To construct a 95 percent confidence interval on the difference in mean diameter measurements for the two types of calipers, we can use the following formula:

CI = [x1 - x2 +/- t(alpha/2, df) * sqrt[((s1^2)/n1) + ((s2^2)/n2)] ]

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes, and t(alpha/2, df) is the critical t-value for the two-tailed test at a significance level of alpha/2 with df degrees of freedom.

For this example, the sample means are x1 = 0.266 and x2 = 0.267. The sample standard deviations are s1 = 0.0017 and s2 = 0.0015. The sample sizes are n1 = 12 and n2 = 12. The critical t-value for a two-tailed test at a significance level of 0.025 with 11 degrees of freedom is 2.771.

Plugging these values into the formula, we get: CI = [0.266 - 0.267 +/- 2.771 * sqrt[((0.0017^2)/12) + ((0.0015^2)/12)] ] = [-0.00147, 0.00347]

Thus, the 95 percent confidence interval on the difference in mean diameter measurements for the two types of calipers is [-0.00147, 0.00347].

The results of the two-tailed t-test show that there is not a significant difference between the means of the population of measurements from which the two samples were selected. The P-value for the test is 1.804 and the 95 percent confidence interval on the difference in mean diameter measurements for the two types of calipers is [-0.00147, 0.00347].

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Answer:

3 1/3 is the answer im pretty sure

Answer:

Option (B)

Step-by-step explanation:

If the probabilities of two events A and B are P(A) and P(B) then the conditional probability of an event that can be derived by the formula,

P(B | A) = \(\frac{P(A\cap B)}{P(A)}\)

P(A ∩ B) = P(B|A) × P(A)

P(A ∩ B) = (0.8) × (0.4)

            = 0.32

Therefore, Option (B) will be the correct option.

Answer:

Option B is correct.

Step-by-step explanation:

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer:

Rewritten in slope-intercept form,

y = mx + b

The answer is

y = 3/5x + 2.

Answer:

y = 3/5x + 2

Step-by-step explanation: