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3 years ago

The x3 was supposed to be an exponent not 3x

Mathematics

1 answer:

mote1985 [20]3 years ago

8 0

Answer:

The value of x is $2\sqrt[3]{2}$

Step-by-step explanation:

We are given $2+x^3=18$

We need to solve for x

First we subtract 2 both sides

$x^3=18-2=16$

Taking cube roots both sides to isolate x

$x=\sqrt[3]{16}$

Simplify the radical

$x=2\sqrt[3]{2}$

Thus, The value of x is $2\sqrt[3]{2}$

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Emmy throws a doggy toy up in the air. The path of the toy is modeled by the function f(x)=−x^2+4x+5, where x is the number of f

Molodets [167]

Answer:

9feet

Step-by-step explanation:

Given the path of the toy modeled by the function f(x)=−x^2+4x+5, where x is the number of feet the toy is from Emmy and f(x) is the height of the toy.

AT maximum height, the velocity of the toy will be zero. Hence;

df(x)/dx = 0

-2x + 4 = 0

-2x = -4

x = -4/-2

x = 2

Get the maximum height;

Substitute x = 2 into the given function;

f(x)=−x^2+4x+5

f(2)=−2^2+4(2)+5

f(2) = -4+8+5

f(2) = 9feet

Hence the maximum height of the toy is 9feet

4 0

3 years ago

Of the volunteers donating blood in a clinic, 30% have the Rhesus (Rh) factor present in their blood. (a) If five volunteers are

maksim [4K]

Answer:

0.83193

Step-by-step explanation:

Probability of having the Rhesus (Rh) factor present in their blood; p = 0.3

Sample size; n = 5

We want to find the probability the probability that at least one does not have the Rh factor.

This will be;1 - P(X < 1)

This is a binomial probability distribution. Thus;

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

P(X < 1) = P(X = 0)

Thus;

P(X = 0) = C(5, 0) × 0.3^(0) × (1 - 0.3)^(5 - 0)

P(X = 0) = 1 × 1 × 0.16807

P(X = 0) = 0.16807

Thus;

1 - P(X < 1) = 1 - 0.16807 = 0.83193

4 0

3 years ago

A, B, and C are the vertices of one triangle. D, E, and F are the vertices of another triangle. m∠A = 50, m∠B = 10, m∠E = 40, m∠

adell [148]

The fourth one seems like its the right one

3 0

3 years ago

Help me this is due today pls help please make sure the answer is correct

Annette [7]

Answer:

12*365 = 4380

4380 miles

Step-by-step explanation:

3 0

3 years ago

In shipment of 850 widgets, 32 are found to be detective. At this rate, how many detective widgets could be expected in 22,000 w

cluponka [151]

Answer:

The number of detective widgets out of 22,000 widgets is 828 widgets

Step-by-step explanation:

Given as :

The total number of widgets = 850

The number of detective widgets out of 850 = 32

Now,

∵ Out of 850 widgets , the number of detective widgets = 32

SO,Out of 1 widgets , the number of detective widgets = $\frac{32}{850}$

∴ Out of 22,000 widgets , the number of detective widgets = $\frac{32}{850}$ × 22,000

Or, Out of 22,000 widgets , the number of detective widgets = 828.23

Hence, The number of detective widgets out of 22,000 widgets is 828 widgets Answer

4 0

3 years ago