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nika2105 [10]
3 years ago
9

Clare is 5 years older than her cousin.

Mathematics
2 answers:
klio [65]3 years ago
7 0

shes 5 years older so you gotta add and that will be the answer

andriy [413]3 years ago
6 0

Answer:

15yo

7yo

5+x yo

Step-by-step explanation:

Clare is 5 years older than her cousin. so add 5 years to the age of the cousin.

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Find an equation of the tangent line to the curve at the given point. y = x3 − 3x + 2, (3, 20)
lisov135 [29]

Answer:

y - 20 = 24(x - 3)

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, has the following format:

y - y_0 = m(x - x_0)

In which the point is (x_0,y_0) and the slope is m.

(3, 20)

This means that x_0 = 3, y_0 = 20. So

y - y_0 = m(x - x_0)

y - 20 = m(x - 3)

Slope:

The slope is the derivative of the function at the point:

The function is:

y = x^3 - 3x + 2

The derivative is:

y^{\prime}(x) = 3x^2 - 3

At the point, we have that x = 3. So

m = y^{\prime}(3) = 3*3^2 - 3 = 27 - 3 = 24

So the equation to the tangent line to the curve a the point is:

y - 20 = 24(x - 3)

8 0
3 years ago
Find the solutions. Show steps please!
san4es73 [151]

Answer:

x = 0, π/4, π, 7π/4

Step-by-step explanation:

sin(2x) = √2 sin x

Use double angle formula.

2 sin x cos x = √2 sin x

Move everything to one side.

2 sin x cos x − √2 sin x = 0

Factor.

sin x (2 cos x − √2) = 0

Solve.

sin x = 0, cos x = ½√2

x = 0, π/4, π, 7π/4

6 0
3 years ago
Algebra 2 Grade 11
larisa [96]

Answer:

y - 5 = 3(x - 4)

Step-by-step explanation:

when given a point , the first is x and the last is y

(x,y)

(4,5)

3 0
4 years ago
Mrs.liamson places 16 gift baskets on a shelf in her store. One-fourth of the gift baskets have pink tennis balls in them
Harman [31]

Answer:

4

Step-by-step explanation:

16/4=4

8 0
3 years ago
Test the claim that the proportion of people who own cats is significantly different than 90% at the 0.1 significance level.
miss Akunina [59]

Answer:

The right answer is Option B:

H_0: \pi=0.9\\\\H_1: \pi\neq0.9

Step-by-step explanation:

In this case we have to perform a hypothesis test on the proportion of the people owning cats.

The claim is that the proportion is significantly different than 905, what means it can be greater or smaller than 90% to reject the null hypothesis. Because of that, the null hypothesis has to state an equality (H0:p=0.9).

The right answer is Option B:

H_0: \pi=0.9\\\\H_1: \pi\neq0.9

4 0
3 years ago
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