Solve for the value of k. Please help 10 min left

Answer:

A

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2+1\text{ and } g(x)=-3[/tex]

And we want to find:

[tex](g\cdot f)(x)[/tex]

This is equivalent to:

[tex]=g(x)\cdot f(x)[/tex]

Substitute:

[tex]=(-3)\cdot (x^2+1)[/tex]

Distribute:

[tex]=-3x^2-3[/tex]

Therefore:

[tex](g\cdot f)(x)=-3x^2-3[/tex]

So, our answer is A.

Answer:

(g · ƒ)(x) = –3x2 – 3

Step-by-step explanation:I took the test

Answer:

see below

Step-by-step explanation:

The drawing in blue is what we are told in the problem.

We are given two sides and two angles.  It is an isosceles  triangle with two equal sides and two equal angles.  Draw a perpendicular bisector  ( it makes a 90 degree angle.  Now we have two identical right triangles.  We can use trig functions to find x

cos theta = adj/ hyp

cos 32.4 = x / 5.5

Solving for x

5.5 cos 32.4 =x

Now we have 2x for the third side of the triangle

2( 5.5 cos 32.4) is the third side

P = 5.5 + 5.5 + 2( 5.5 cos 32.4)

Answer:

See the Below

Step-by-step explanation:

Answer:

he has to many apples

Step-by-step explanation:  

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Answer:  B.  10

Explanation: Any number is a factor of itself.

We can rule out choices A, C and D because those values are larger than 10. They are multiples of 10, but not factors of 10.

Answer:

H is the answer

Step-by-step explanation:

1) roots=-2, -4

2)roots=-7, 2

3)roots= -2

4)roots=-3/4, -2

5)roots= 2

Therefore, the correct answer is H

Answer:

(viii) 116 ± 2.78 x 14.4√5

Step-by-step explanation:

The given data is

Sample size =n= 5

Calculated t- value= 2.4837

Mean= 116

Standard deviation= sd= 14.40486

The t - value from table with 4 d.f for ∝/2 is  t∝/2 (n-1)= 2.776

The 95% confidence interval is calculated by

d` ± t∝/2 (n-1)  *sd/√n

Putting the values

116 ± 2.776* 14.40486/√5

Comparing these values with the options Part viii gives the best answer.

(viii) 116 ± 2.78 x 14.4√5

2.776 when rounded gives 2.78 and 14.40486 when  rounded gives 14.4

The rest are incorrect.

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

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

Step-by-step explanation:

Answer:

4ti + 5tj + k

Step-by-step explanation:

Initial condition V(0) = k

at t = 0

general equation for v(t )

V(0) = 0i + 0j + c = k

when we compare V(0) and solve for c ,     c = k

back to general equation

V(t) = 4ti + 5tj + c = 4ti + 5tj + k

Answer: 0.77

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

the chart adds up to 1 as a whole so 23% chose football and there is a 23% chance the next person will also choose football.

Answer:

2

Step-by-step explanation:

3+2=5 and 5+2 =7 and on x side just add 1

Answer:

tanJ = 8/15

Step-by-step explanation:

find JK the adjacent side uisng th pythagorean theorem

a² + 16² = 34²

a² = 34² - 16²

a² = 900

a = 30

--------------------

tan = opp/adj

tanJ = 16/30

Reduce

tanJ = 8/15

Answer:

the work done in stretching the spring from its natural length is -1.8 ft.lb

Step-by-step explanation:

Given the data in the question;

From Hook's law, the magnitude of force applied on a spring is expressed as follows;

|F| = k|x|

where F is the force applied the spring, k is the spring constant, x is the length extension

Now, given that; F = 4 pounds = 4 lb and x = 0.4 ft

we substitute

4 = k × 0.4

k = 4 / 0.4

k = 10 lb/ft

Also, Hook's law can be expressed as follows;

F = -kx  ---------- let this be equation 1

Now, work done by a force applied between two points is expressed as follows;

dW = Fdx ----------- let this be equation 2

substitute equation 1 into equation 2

dW = (-kx )dx

we integrate both side

∫(dW) = ∫((-kx )dx)

W = -k∫xdx

W = -k[tex]\frac{x^2}{2}[/tex]

w = -[tex]\frac{1}{2}[/tex]kx²

we substitute 10 lb/ft for k and 0.6 ft for x

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × (0.6 ft)²

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × 0.36 ft²

w = -1.8 ft.lb

Therefore, the work done in stretching the spring from its natural length is -1.8 ft.lb

Answer:

1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

the word 'of' in math means to multiply so 1/3 of 1/4 means to multiply them together

1/3 x 1/4 = 1/12

Answer:

is a one to one function

Step-by-step explanation:

it is a one to one function

Answer:

200

Step-by-step explanation:

Answer:

200 :)

hope that helps!

Answer:

6x - 21 = 105 (vertically Opposite angles)

6x = 105 + 21

6x= 126

x=126/6

x= 21°

That should be the fifth option

OR

Another Way of solving

(6x - 21) + 75 = 180 ( angles on a straight line)

6x -21 + 75 =180

6x + 54 = 180

6x =180 - 54

6x = 126

x=126/6

x=21°

[tex] \large \sf \star \: \green{Answer} \: \star[/tex]

x = 21 °

Step-by-step explanation:

Here,

6 x - 21 ° + 75 ° = 180 °

6 x + 54° = 180 ° ...( Combine like terms)

subtract 54 ° from each sides

54° - 54° + 6 x = 180 ° - 54 °

6 x = 126°

x = 126 ° / 6 ...( Divide by 6 )

x = 21 °

Answer:

m<ADE = 57 degrees

Step-by-step explanation:

Angles of a quadrilateral add up to 360. We are already given 69 and 45, which can both be subtracted from 360, leaving us with 246. Since the two remaining angles are congruent, 246 can be divided by 2 to find the remaining measure(s). We are left with 123. However, m<ADE is supplementary to this. So we subtract 123 from 180. The final answer is 57 degrees.

Step-by-step explanation:

3890 - 3200

=690

(690÷3200) x 100%

=21.56%

Answer:

21.56/ 21.6/ 22 (depending on the decimal places you want)

Step-by-step explanation:

Current figure- original figure / Original figure * 100

3890-3200 = 690

690/3200 = 0.215625

0.215625 * 100 =   21.56  /   21.6  / 22

* means multiply

Equation: y = 3x

y = 3

Step-by-step explanation:

y ∝ x

y = Kx

9 = 3K

K = 9/3 = 3 Substitute y and x value to find K

y = 3x

Equation: y = 3x

x = 1

y = 3(1)

y = 3

Hope this helps!

Answer:

A) w=3

Step-by-step explanation:

4 x 3 = 12

This is the work when you plug in the numbers in the varible w

Step-by-step explanation:

we can solve this question by using transposition method:

W=12/4

W=3 Answer....

hope it helps

Answer:

6.3 Cubic cm

Step-by-step explanation:

[tex]V=A*h=(1.8*1.2+.5*1.1*1.8)*2=6.3cm^{3}[/tex]

Answer:

k = 13

Step-by-step explanation:

The sum of the angles is 180 since they form a straight line

4k-7 + 90 + 3k+6 = 180

Combine like terms

7k+89=180

Subtract 89 from each side

7k+89-89 = 180-89

7k =91

Divide each side by 7

7k/7 = 91/7

k = 13

Complete question :

Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earning the same interest. let m represent the balance in martins account and let c represent the amount of money in carys account. choose the pair of expressions that describe the accounts y years after martin opened his account. martin: 200(1.05)y cary: 200(1.05)y+4 martin: 200(1.05)y+4 cary: 200(1.05)y4 martin: 200(0.05)y cary: 200(0.05)y4 martin: 200(1.05)y cary: 200(1.05)y4 choose the equation that relates the balances in the accounts y years after martin opened his account. c = m(1.05)4y m = c(1.05)4y c = 1.22m m = 1.22c

Answer:

m = m = 200(1.05)^y+4

c = m = 200(1.05)^y

m = 1.22c

Step-by-step explanation:

The future value can be represented as :

Future value, F = P(1 + r)^n

r = interest rate = 5% = 0.05 , n = number of years ;

For Martin :

m = 200(1 + 0.05)^n

For cyan :

c = 200(1 + 0.05)^n

y years after Martin

Cyan opened 4 years after Martin :

Representing in terms of y

Cyan = y ; Martin = y +4

m = m = 200(1.05)^y+4

c = m = 200(1.05)^y

From. Indices :

(1.05)^y+4 = 1.05^y * 1.05^4

Hence,

m = 200 * 1.05^y * 1.05^4

c = 200 * 1.05)^y

Hence,

m = c * 1.05^4

m = c * 1.2155

m = c * 1.22

m = 1.22c

Answer:

the first question is d and so is the second one

Answer: Crayfish, 25 s

Step-by-step explanation:

Given

The length of race is 60 cm

Flicker gets a 10 cm head-start

Cray fish covers 6 cm in 5 s i.e. its speed is

[tex]\Rightarrow \dfrac{6}{5}=1.2\ cm/s[/tex]

Flicker covers 4 cm in 5 s, its speed is

[tex]\Rightarrow \dfrac{4}{5}=0.8\ cm/s[/tex]

Time taken by Cray fish to cover the race is

[tex]\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s[/tex]

Time taken by flicker to cover race with 10 cm head start

[tex]\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s[/tex]

Time taken by crayfish is less. Hence, crayfish wins the race

When they both covers the same distance, they tied momentarily i.e.

[tex]\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s[/tex]

After 25 s, they tied the race.

Answer:

so in this graph, yes, it is a function

Step-by-step explanation:

for each x, y is double the value of the input x

9514 1404 393

Answer:

  100 miles

Step-by-step explanation:

A. The answers shown are correct

__

B. Equate the values of y and solve for x.

  0.20x +20 = 0.10x +30

  0.10x = 10 . . . . . . . subtract (20+0.10x)

  x = 100 . . . . . . . . divide by 0.10

The rental charges are the same for 100 miles.

Answer:

17,290 yd2

Step-by-step explanation:

I rlly don't know how u were taught to solve it but what I did was multiply all the sides

Answer: 8x+12

Step-by-step explanation:

We can use the Distributive Property to get it in it's simplest form

4(2x+3)

(4)(2x)+(4)(3)

8x+12

Answer:

[tex]8x + 12[/tex]

Step-by-step explanation:

Simply solve the brackets.

[tex]4(2x + 3) \\ 8x + 12[/tex]

Hope this helps you.