The linear graph below represents the relationship between age (t), and height (h) of a toddler.


Write the linear function in slope intercept form h(t) that expresses the height as a function of age.

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}[/tex]

Given that the nth term of the Arthemetic Sequence is given by :-

[tex]\implies f(n) = 8 + 3(n-1) [/tex]

And we need to find the 22nd term .

So in place of n substitute 22 .

[tex]\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }[/tex]

Answer:

It’s B

Step-by-step explanation:

I just did it

Step-by-step explanation:

Remember the identity sin²x + cos²x = 1.

Therefore 1 - cos²x = sin²x and 1 - sin²x = cos²x.

sqrt(1 - cos²x) / sinx + sqrt(1 - sin²x) / cosx

= sqrt(sin²x) / sinx + sqrt(cos²x) / cosx

= sinx / sinx + cosx / cosx

= 1 + 1

= 2. (H)

Answer:

what is the subject and grade please tell

Step-by-step explanation:

Answer:

sjnjsndsf

Step-by-step explanation:

jnjnjnjn

Answer:

X✓X✓✓X

Step-by-step explanation:

Answer:

2/12

3/18

4/24

Step-by-step explanation:

Answer:

x=59

Step-by-step explanation:

3x+3=180

3x=177

x=59

Answer:

C. [tex]Ax+By=C[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex]

standard form: [tex]Ax+By=C[/tex]

A. y = mx + b

B. y = mx - b

C. Ax + By = C

D. Ax – By = C

Answer: 1675 feet

Step-by-step explanation: Starting at 3080 feet she falls 1710. We subtract 1710 from 3080 and get her position at 1370 feet above the ground. She then rises 35 feet. 1370+35 = 1405 feet above the ground.

We know that the plane is 3080 feet above the ground, and that Natalie is only 1405 feet above the ground. We just have to find the difference in their positions in order to find out how far she actually is from the plane. 3080-1405 = 1675 feet

Answer:

15/25 cuz 25 is the total and there's 15 milk. 2nd as dark chocolate would then be 10/24 cuz you've already taken one chocolate. Multiply by both would be 3/5 × 5/12 = 1/4. Percentage would then be 1/4 = 0.25 , and multiply that by 100% would then be 25%

Answer:

probability of getting milk chocolate =3/5

while

the probability of getting dark chocolate is 2/5

Step-by-step explanation:

milk chocolate=15

dark chocolate=10

there fore total=25

probability of getting milk chocolate=15/25. =3/5

while

the probability of getting dark chocolate=10/25=2/5

that's the method I know but I'm sorry if I got it wrong

I hope u get what you are looking for

Answer:

d

Step-by-step explanation:

it is d, because functions will only have 1 equation until worked out.

hope this helped ;)

Each snack cost $5.50

You start with $45, and afterwards end up with $12, so subtract 12 from 45 and you end up with 33. Then divide 33 by 6, since she bought 6 snacks, and you get $5.50.

Answer: -7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The standard form for a parabola is ax^2+bx+c. In this equation, b=0 and c=0. For g(x), you would plug in your y-value that was given (which is 4) and you would plug in your x-value that that given (which is 1). Use PEMDAS. The correct answer is the one that is true.

A. g(x) = (4x)^2

4 = (4(1))^2

4 = 16. (not true)

B. g(x) = 1/4 x^2

4 = 1/4 (1)^2

4 = 1/4 (not true)

C. g(x) = 16x^2

4 = 16(1)^2

4 = 16 (not true)

D. g(x) = 4x^2

4 = 4(1)^2

4 = 4. (true --> correct answer)

Answer:

ball 132

Step-by-step explanation:

Answer:

[tex]xy(x + y)(x - y)[/tex]

Step-by-step explanation:

[tex] {x}^{3}y - x{y}^{3} [/tex]

Taking xy common ,

[tex] = > xy( {x}^{2} - {y}^{2} )[/tex]

We know that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b) [/tex]

So,

[tex] = > xy(x + y)(x - y)[/tex]

Answer:

-2x

Step-by-step explanation:

As you can see the line is perpendicular the the given equation and passes through the point (-1,2).

Answer:

y=3x+5

Step-by-step explanation:

the equation x+3y=3 is in standard form (ax+by=c)

we can put it into slope intercept form (y=mx+b) to make it easier.

subtract x from both sides

3y=-x+3

divide by 3

y=-1/3x+1

Perpendicular lines have slopes that are opposite (one is negative and one is positive) and reciprocal, so if you mutiply them together, it will equal -1

use this equation:

-1/3m=-1

multiply by -3 on both sides

m=3

equation so far: y=3x+b (b is a placeholder)

since the equation passes through the point (-1,2), we can substitute it into the equation

2=3(-1)+b

2=-3+b

5=b

the equation is y=3x+5

Hope this helps!

Answer:

4

Step-by-step explanation:

Answer: 15:20

Step-by-step explanation:

18=6*3

24=6*4

now 15=5*3

20=5*4

Answer:THE answer IS 15:20

Step-by-step explanation:ToOk ThE TeSt PlS MaRk Me BrAiNlIeSt NeEd AwArD

Answer:

Did you try 227+6=233 then subtract 52??

Step-by-step explanation:

Answer:It would be c

Step-by-step explanation:because every 1 shaded rectangle comes 3 shaded triangles so the ratio would be 3:1 and it would not be 1:3 because you go the way the question asks first if that makes any sense

Answer:

c

Step-by-step explanation:

Answer:

Solving the system of equations we get:

x=2, y=4, z=-2

Step-by-step explanation:

We need to solve the system of equations

[tex]2x - y + 3z = -6\\-x + 2y - 3z = 12\\y + 5z = -6[/tex]

Let:

[tex]2x - y + 3z = -6--eq(1)\\-x + 2y - 3z = 12--eq(2)\\y + 5z = -6--eq(3)[/tex]

First we find value of y from equation 3

[tex]y+5z=-6\\y=-6-5z[/tex]

Put value of y in equation 1

[tex]2x - y + 3z = -6\\2x-(-6-5z)+3z=-6\\2x+6+5z+3z=-6\\2x+8z=-6-6\\2x+8z=-12---eq(4)[/tex]

Now, put value of y in equation 2

[tex]-x + 2y - 3z = 12\\-x+2(-6-5z)-3z=12\\-x-12-10z-3z=12\\-x-13z=12+12\\-x-13z=24--eq(5)[/tex]

Multiply equation 5 with 2 and add both equations 4 and 5

[tex]2x+8z=-12\\-2x-26z=48\\--------\\-18z=36\\z=\frac{36}{-18}\\z=-2[/tex]

So, we get z=-2

Now put value of z in equation 3

[tex]y+5z=-6\\y+5(-2)=-6\\y-10=-6\\y=-6+10\\y=4[/tex]

So, we get y=4

Now, put value of y=4, and z=-2 in equation 1

[tex]2x-y+3z=-6\\2x-4+3(-2)=-6\\2x-4-6=-6\\2x-10=-6\\2x=-6+10\\2x=4\\x=\frac{4}{2}\\x=2[/tex]

So, solving the system of equations we get:

x=2, y=4, z=-2

Answer:

1.9 Kilograms.

Step-by-step explanation

To find the total, subtract 35 and 44, that equals 9. so take 35 from 44, Thats 1 kilo, plus the 9 extra. 1.9 Kilos

Answer:

    nnn nn

Step-by-step explanation:

mmmmmmm

Answer:

404

Step-by-step explanation:

Given the expression

g(x) = 2x and h(x) = x^2 + 4

Find hoh(-4)

First we need to find (hoh)(x)

(hoh)(x) = h(h(x))

h(h(x)) = h(x^2+4)

h(x^2+4) = (x^2+4)²+4

h(x^2+4) = x⁴+8x²+16 + 4

h(x^2+4) =  x⁴+8x²+20

h(h(x)) = x⁴+8x²+20

when x = -4

h(h(-4)) = (-4)⁴+8(-4)²+20

h(h(-4)) = 256+128+20

h(h(-4)) = 404

Hence hoh(-4) is 404

Answer:

y = 3/2x + 7

Step-by-step explanation:

The slops is rise over run, so in this case the slope is 3/2 because it goes up 3 units while going 2 units to the right.

The points (0,7) is on the y axis. This means that 7 is the y intercept

With this information, we can follow the format of the slope intercept equation: y = mx + b

m stands for the slope and b stands for the y intercept. Plugging the information in, our equation is:

y = 3/2x + 7

Answer:

AB is 15

Step-by-step explanation:

AB and BC are equal because the line that goes through the triangle is going through at a 90 degree angle, u can see that by the small square, and u know it's in the middle bc of the short lines on AD and DC, the short lines means that they are congruent, so:

5x = 4x + 3

subtract 4x from both sides

x = 3

Now u have x, put it in the equation

5x = 5(3) = 15

Answer:

[tex]Total\ Charge = 58[/tex]

Step-by-step explanation:

Given

The question is completed using the attachment

From the attachment,

[tex]Base\ Charge = 30[/tex]

[tex]Hourly\ Rate = 7/hour[/tex]

Required

Determine the total charges for 4 hours

The total charge will be calculated using:

[tex]Total\ Charge = Base\ Charge + Hourly\ Rate * Number\ of\ hours[/tex]

This gives:

[tex]Total\ Charge = 30 + 7* 4[/tex]

[tex]Total\ Charge = 30 + 28[/tex]

[tex]Total\ Charge = 58[/tex]

Hence, the total charges for 4 hours is #58

Answer:

C. 1/2(154-46) hope this helps :)

Step-by-step explanation:

The measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.

Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

We have,

Arc ST = 46°, and

Arc XZ = 154°

Now,

We know that the measure of the arc is same as that of central angle.

Now,

Join X and T,

Now,

We know that, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles.

So,

Angle XTZ [tex]=\frac{154}{2}[/tex]

And,

Angle SXT [tex]=\frac{46}{2}[/tex],

Now,

∠XTZ = ∠XYZ + ∠SXT  [Exterior angle is equal to the sum of interior opposite angles]

So,

∠XYZ = ∠XTZ - ∠SXT

Now,

Substituting the values,

We get,

∠XYZ [tex]=\frac{154}{2}-\frac{46}{2}[/tex]

i.e.

∠XYZ [tex]=\frac{1}{2} (154-46)[/tex]

So, measure of angle XYZ is  [tex]\frac{1}{2} (154-46)[/tex] .

Hence, we can say that the measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.

To know more about angle click here

https://brainly.com/question/23247585

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