The function g is defined as g(x)=5x² – 3.
Find g(x+1).

Answer:

5 7/12 but it's 67/12 as an improper fraction

Step-by-step explanation:

Answer: 904.779

Step-by-step explanation:

v = pi x radius^2 x height

Answer:

904.78 cm^3

Step-by-step explanation:

The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3

Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]

(a)

(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]

[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]

[tex]=50.42[/tex] m/s

(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]

[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]

[tex]=51.35[/tex]m/s

(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]

[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]

[tex]=52.094[/tex]m/s

(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]

[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]

[tex]=52.2614 [/tex]m/s

(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]

[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]

[tex]=52.27814 [/tex]m/s

(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]

[tex]=56-1.86[/tex]

[tex]= 54.14[/tex] m/s

equation:3.25x+1.2=40.2

ansrew:x=12

Answer:

first box is 4/5 and the second box (=) is 7/15

Answer:

the angle between u=(8, -2) and v=(9,3) is 32.5°

Step-by-step explanation:

u=(8,-2)=(u1,u2)→u1=8, u2=-2

v=(9,3)=(v1,v2)→v1=9, v2=3

We can find the angle between two vectors using the formula of dot product:

u . v =║u║║v║cos α   (1)

And the dot product is:

u . v = u1 v1 + u2 v2

u . v = (8)(9)+(-2)(3)

u . v = 72-6

u . v = 66

║u║=√(u1²+u2²)

║u║=√((8)²+(-2)²)

║u║=√(64+4)

║u║=√(68)

║u║=√((4)(17))

║u║=√(4)√(17)

║u║=2√(17)

║v║=√(v1²+v2²)

║v║=√((9)²+(3)²)

║v║=√(81+9)

║v║=√(90)

║v║=√((9)(10))

║v║=√(9)√(10)

║v║=3√(10)

Replacing the known values in the formula of dot product (1):

u . v =║u║║v║cos α

66 = 2√(17) 3√(10) cos α

Multiplying:

66 = 6√((17)(10)) cos α

66 = 6√(170) cos α

Solving first for cos α: Dividing both sides of the equation by 6√(170):

Simplifying: Dividing the numerator and denominator on the left side of the equation by 6:

(66/6)/(6√170/6)=cosα→11/√170=cosα→cosα=11/√170

cosα=11/13.03840481→cosα=0.84366149

]

Answer: 1/3 quart

Step-by-step explanation: since they both have the same denominator, you can just do 5-2=3. that gives you 3/9, which can be simplified by dividing both the numerator and denominator by 3 which equals 1/3.

Answer:

Increased by 290

Step-by-step explanation:

2(-30) = -60

-60 + 350 = 290

points increased by 290

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

The answer is "His score changed by 290"

Step-by-step explanation:

2*30 = 60

350 points gained minus the 60 for the spaceships equals 290 points.

He only gained 290 points.

Answer:

X = 1/2

Step-by-step explanation:

Answer:

a) The test statistic is [tex]z = -2.51[/tex]

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

[tex]H_a: p_{B} - p_{NY} < 0[/tex]

While the null hypothesis is:

[tex]H_0: p_{B} - p_{NY} = 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that [tex]X = 0.581 - 0.832 = -0.251[/tex]

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Standard error = 0.1

This means that [tex]s = 0.1[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.251 - 0}{0.1}[/tex]

[tex]z = -2.51[/tex]

The test statistic is [tex]z = -2.51[/tex]

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

Answer:

1728000cm^3

Step-by-step explanation:

100cm-1m

x-1.2m

cross multiply

x=120cm

v=lxbxh

=120^3=1728000cm^3

Answer:

B. 30

Step-by-step explanation:

Given.:

m<4 = 2x°

m<5 = 4x°

Required:

Value of x

Solution:

<4 and <5 are angles in a straight line, therefore:

m<4 + m<5 = 180°

Substitute

2x + 4x = 180°

6x = 180°

x = 180/60

x = 30

The answer is                                                                                                                                  

      S                                                     .For many reasons    

Therefore,

Answer:

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3

Step-by-step explanation:

Answer:

Ans is 2 x square + 2x - 4 because the sign in this ans contains +, -  divided into three part. which is trinomial

plz rate 5 star + thanks i need 1 brainliest to reach in expert

Answer:

7.48 in.

Step-by-step explanation:

Given :-

And we need to find out the second leg. So here we can use the Pythagoras Theorem , which establish the relationship between the sides of a right angled triangle. As ,

[tex]:\implies[/tex] p² + b² = h²

[tex]:\implies[/tex] 5² + b² = 9²

[tex]:\implies[/tex] 25 + b² = 81

[tex]:\implies[/tex]b² = 81 -25

[tex]:\implies[/tex] b² = 56

[tex]:\implies[/tex] b = 7.48 in

Hence the measurement of second leg is 7.48 inches .

Answer:

Canvas thing

Step-by-step explanation:

PUT MORE EXPLANATION!

Answer:

Evan is Correct.

Step-by-step explanation:

This shape is considered a rhombus because of the fact that it has all equal side lengths. Trapezoids are defined by having only one set of parallel lines, while the image appears to have two.

Answer:

34.91

Step-by-step explanation:

433.91

-

399.00

————

34.91

The next answer is "an exponential."

Step-by-step explanation: The answers after that are 3.195 and 1.106

Answer: first part: an increasing

Second part: An exponential

Third part: 3.915, 1.106

Step-by-step explanation: i just did it

Answer:

82.7

Step-by-step explanation:

Answer: the answer is that the mean would become smaller.

Step-by-step explanation: if you have the original 9 values, the mean is 85.5 repeating. Adding 65 and 75 to the data set changes the mean to 82.72 repeating.

Hope this helps! Please give brainliest ;)

Answer:

35

Step-by-step explanation:

Answer:

$13,537.79

Step-by-step explanation:

The future value of the account after 5 years will be 762 dollars.

Compound interest is calculated for the principle borrowed as well as previous interest accumulated.

According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.

Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.

We know the formula for Amount(A) compounded quarterly is

A = P[ 1 + (r/4)/100)]⁴ⁿ.

A = 600[ 1 + (5/4)/100]⁴ⁿ.

A = 600[ 1 + 1.2/100]⁴ˣ⁵

A = 600[ 1 + 0.012]²⁰.

A = 600[ 1.012]²⁰.

A = 600(1.27).

A = 762 dollars.

learn more about compound interest here :

https://brainly.com/question/14295570

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Answer:

a,  yes

b no

c yes

d no

Step-by-step explanation:

Answer:

Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2

Step-by-step explanation:4