a ball is thrown from a height of 40 meters with an initial downward velocity of 5 m/s

Answers

Answer 1

0=40-10t-5t^2

t^2+2t-8=0

(t+4)(t-2)=0

t=-4 (not a solution) or t=2

Answer: after 2 seconds


Related Questions

What is the value of X.

Answers

Answer:

x=5.25 or x=5 1/4

Step-by-step explanation:

These two angles are the same because they are vertical angles. We can write an equation to express this.

x+16=4x-5

Then solve.

x+16=4x-5

-x      -x

16=4x-5

+5     +5

4x=21

x=5.25 or 5 1/4

Answer: x=7


Explanation: These are vertical angles, so they are congruent

x+16=4x-5

-x -x

16=3x-5



+5 +5


21=3x



21/3 3x/3


x=7




7+16=23
4*7=28-5=23

Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.) (a) What is the (approximate) probability that X is at most 30

Answers

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).

This means that [tex]p = 0.11[/tex]

Random sample of 200 shafts

This means that [tex]n = 200[/tex]

Mean and Standard deviation:

[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]

(a) What is the (approximate) probability that X is at most 30

Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 22}{4.42}[/tex]

[tex]Z = 1.92[/tex]

[tex]Z = 1.92[/tex] has a pvalue of 0.9726.

0.9726 = 97.26% approximate probability that X is at most 30

At the end of August, a store is
trying to get rid of their swimsuits to
make room for fall clothes The
price of a swimsuit is reduced $5
each week for 6 weeks By how
much did the price of the swimsuit
change during this time?

Answers

Answer:

Week one: 5$ off

Week two: 10$ off

Week three: 15$ off

Week four: 20$ off

Week five: 25$ off

Week six: 30$ off

30-5=25 There is a 25 dollar difference from week one and week six

Step-by-step explanation:

Find the Greatest common factor
42,60

Answers

Answer:

6

Step-by-step explanation:

Greatest common factor (GCF) of 42 and 60 is 6.

As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.

List out all of the prime factors for each number:

Prime Factors for 42: 2, 3, and 7

Prime Factors for 60: 2, 2, 3, and 5

Now that we have the list of prime factors, we need to find any which are common for each number.

Looking at the occurences of common prime factors in 42 and 60 we can see that the commonly occuring prime factors are 2 and 3.

To calculate the prime factor, we multiply these numbers together:

GCF = 2 x 3 = 6

(hope this helps can i plz have brainlist :D hehe)

I need help to find the range

Answers

the range is the y values
so [-5,4]

Answer:

algebraic terms = 4- -4 = 8

Step-by-step explanation:

-4 is our lowest value as 5 is not equal or counted

4 is our highest value and is counted.

What is the answer
5+7+9+8=

Answers

Answer:

29

Step-by-step explanation:

A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.



How much was the tip in dollars?



Round your answer to the nearest hundredth (second) decimal place.

Answers

The tip was $7.77

I hope this helped! please mark brainliest and vote 5 stars >:)

Answer:about 8 dollars

Step-by-step explanation:

Find the lcd between 1/6 and 2/9. Show your work.

Answers

The least common denominator is 18.

1/6 × 3/3 = 3/18
2/9 × 2/2 = 4/18

In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.

Answers

Answer:

Step-by-step explanation:

I = 180-152-7 = 21°

Law of Sines:

g = h·sinG/sinH ≅ 38.5 cm

i = h·sinI/sinH = 29.4 cm

Use Heron's Formula to calculate the area from the lengths of the sides.

semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm

area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²

A . it is increasing and linear

B. it is decreasing and linear

C. it is increasing and non linear

D. It is decreasing and non linear

Answers

Answer:

The answer is B.

Step-by-step explanation:

From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.

which of the following graphs describes the solution set of -4/5x-13/5>=-9?

Answers

Answer:

Hey Bud

your answer is x ≤ 8

Step-by-step explanation:

should be closed dot pointing to the negative numbers

Let's solve your inequality step-by-step

Step 1: Simplify both sides of the inequality.

Step 2: Add 13/5 to both sides.

Step 3: Multiply both sides by 5/(-4).

If you overestimate the standard deviation of the population, which type of error are you potentially increasing

Answers

Answer:

Standard Error

Step-by-step explanation:

The standard deviation is directly proportional to the sample standard deviation or standard error.

According to the relation :

Standard Error = standard deviation / sqrt(sample size)

Going by these relation an increase in the value of standard deviation will favor or increase the standard error withba constant Number of samples.

Therefore, overestimating the standard deviation will. Cause an increase in the standard error, while underestimating the standard deviation will also lower the standard error.

given f(x)=3x-5, find f(x+2)

Answers



f(x-2) = 3(x-2) - 5
= 3x - 6 - 5
= 3x - 11

Answer:

Step-by-step explanation:

Whenever a problem asks for f(x+n) or really anything, you just plug it into the OG function

f(x+2) = 3(x+2) - 5

= 3x + 6 - 5

=3x + 1

rewrite 4.4.6.4.4.6 using exponents

Answers

Answer:

[tex]4^{4}[/tex]×[tex]6^{2}[/tex]

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

A fitness club charges a onetime $75 initiation fee plus $30 each month for a member to maintain her membership. Which equation below models the total cost, c, the club charges as a function of the number of months, m, that the individual has maintained her membership?

1) c = 75m + 30
2) c = 1/30m + 75
3) c = 30m + 75
4) c = 900 + 30m

Answers

Answer:

c = 30m + 75

Step-by-step explanation:

Because the 75 dollars is only one time you add that to the total. Because it is 30 dollars PER MONTH and m is the number of months you would multiply those two in order to know how much you would be paying!

Hope this helps!

. In a 30°-60°-90° triangle, the length of the hypotenuse is 12 inches. What is the length, in inches, of the side opposite the 60° angle?

Answers

The sides of a 30-60-90 triangle are always in the ratio 1:√3:2, respectively.

The side opposite the 90° is 12 inches, so the side opposite the 30° angle is 6 inches, and the side opposite the 60° angle is 6√3 inches.

The slope through (3, 5) and (1. y) is 3. Find y.



Really need this answer!

Answers

Step-by-step explanation:

y2 - y1 / x2 - x1  

2 = 5 - y / (3 - 1)

4 = 5 - y

y = 1

So the line with slope 2 passes through the points (1,1) and (3,5).

Hope this helps!

Combine like terms 3x^2 + 4x^3 + 6x^2

Answers

9x^2 + 4x^3
Hope this helped

Answer:

3x^2+6x^2= 9x^2

9x^2+4x^2

Step-by-step explanation:

solve for y
y - 2 = 2x​

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

add two to both sides so that (-)2 cancels out on the side by the y to get it by itself move +2 to the side with the x giving you y = 2x + 2

Find the Slope (9,5) (9,-3)

Answers

The slope is undefined

Is height always a statistical subject

Answers

Answer:

It Is!

Step-by-step explanation:

"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."

Pls help me this is 7th grade (ADVANCED)

Answers

Answer:

Step-by-step explanation:

Any line will add up to 180 degrees. If you subtract the 165 degrees from 180 (total), you will get the x value.

180 - 165 = 15 degrees

What integer does Point B represent?
B
D
0
Point B

Answers

i think it’s -4 but i’m not sure

Answer:

-4

Step-by-step explanation:

uts -4 I mean I don't have any explanation but yea. Tell me if it's wrong

write the equation of the line in fully simplified slope-intercept form. (6, 10) (4,5) (-2,-10)

Answers

Answer: the equation will be  y = 5/2x -5

Step-by-step explanation:

First find the slope of the line by finding the change in the y coordinates and diving it by the change in the x coordinates.

(6,10)

(4,5)  

5 - 10 = -5

4 - 6 =  -2

Slope: 5/2

(4,5)

(-2,-10)

-10 - 5 = - 15

-2-4= - 6

-15/-6 = 5/2

Now we know the slope is 2, so use the formula y=mx + b to solve for the y intercept which is b by using one of the given points.

y = mx + b

5 = 5/2(4) + b

5 = 10 + b

b =   -5

2x^3+7x^2-4x+7/x^2+2x+2

Answers

Answer:

Step-by-step explanation:

can you please help me with this?

A) 29

B) 15

C) 45

D) 8

Answers

Answer:

A) 29

Step-by-step explanation:

Step 1: Find angle G

Since Sin(θ) = Opposite over Hypotenuse:

[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ

θ = 33.896°

Now repeat for just the smaller triangle:

[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]

what fractional part is black?

Answers

Answer:

Step-by-step explanation:

A =5/8. B=2/4. C=4/10. D= 3/6. Hope this helped!

pls help i cant find the answer at all

Answers

AC = AB
4x + 8 = 7x - 4
8 + 4 = 7x - 4x
12 = 3x
x = 4

Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12.

Which explicit formula can be used to model the same sequence?

f(x) = 12(4)x
f(x) = 3(4)x − 1
f(x) = 4(12)x
f(x) = 4(3)x − 1

Answers

Answer:

B

Step-by-step explanation:

I got u

The explicit formula for the geometric progression is f ( x ) = 3 ( 4 )ˣ⁻¹

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

f ( x + 1 ) = 4 f ( x )

where the second term is a₂ = 12

Now , the explicit formula is given by

f ( x ) = 3 ( 4 )ˣ⁻¹

when x = 2

f ( 2 ) = 3 ( 4 )²⁻¹

f ( 2 ) = 3 ( 4 )

f ( 2 ) = 12

Hence , the GP is f ( x ) = 3 ( 4 )ˣ⁻¹

To learn more about geometric progression click :

https://brainly.com/question/1522572

#SPJ7

Who was the first prince of Russia to be crowned as a czar

Answers

It should be Ivan IV
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