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Aneli [31]
2 years ago
12

I need help and please explain to me how you got the answer

Mathematics
1 answer:
maksim [4K]2 years ago
7 0

Answer:

B

Explanation:

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Write an equation for the line that has a slope of 6 and passes through the point 4, 4
Rudik [331]

Answer:

y = 6x - 20

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6, thus

y = 6x + c ← is the partial equation

To find c substitute (4, 4) into the partial equation

4 = 24 + c ⇒ c = 4 - 24 = - 20

y = 6x - 20 ← equation of line

8 0
3 years ago
What is the recursive formula for this geometric sequence?<br> -2, -16, -128, -1024,
FinnZ [79.3K]
<h3>Answer: Choice A</h3>

The first line shown in choice A is a_1 = -2 which means "the first term is -2"

The next line in choice A means "the nth term (a_n) is found by multiplying the prior term (a_{n-1}) by 8". Put another way: multiply each term by 8 to get the next term.

first term = -2

second term = 8*(first term) = 8*(-2) = -16

third term = 8*(second term) = 8*(-16) = -128

fourth term = 8*(third term) = 8*(-128) = -1024

and so on.

3 0
3 years ago
Read 2 more answers
Jacob consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Jacob's body
sasho [114]

Answer: 0.87400mg of caffeine.

Step-by-step explanation:

You have

N(t)=N0(e^−rt)(1)

as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,

N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)

Taking the last 2 parts of (2) to the power of 0.1t gives

e^−rt=0.2601^.1t . .(3)

This means that

N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)

Also,

N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1

= 0.87400mg of caffeine.

6 0
3 years ago
I really need some help. I'll mark best answer!
tresset_1 [31]
Multiply top equation by -2, then add equations so b drops out....solve for a...plug in a to get b
7 0
3 years ago
Read 2 more answers
If, P(x,y) is a point on the unit circle determined by real number δ, then tanδ = what
Lisa [10]
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}&#10;=\cfrac{y}{r}&#10;=\cfrac{1}{csc(\theta)}&#10;\\ \quad \\\\&#10;% cosine&#10;cos(\theta)=\cfrac{adjacent}{hypotenuse}&#10;=\cfrac{x}{r}&#10;=\cfrac{1}{sec(\theta)}&#10;\\ \quad \\\\&#10;% tangent&#10;tan(\theta)=\cfrac{opposite}{adjacent}&#10;=\cfrac{y}{x}&#10;=\cfrac{sin(\theta)}{cos(\theta)}

\bf cot(\theta)=\cfrac{adjacent}{opposite}&#10;=\cfrac{x}{y}&#10;=\cfrac{cos(\theta)}{sin(\theta)}&#10;\\ \quad \\\\&#10;% cosecant&#10;csc(\theta)=\cfrac{hypotenuse}{opposite}&#10;=\cfrac{r}{y}&#10;=\cfrac{1}{sin(\theta)}&#10;\\ \quad \\\\&#10;% secant&#10;sec(\theta)=\cfrac{hypotenuse}{adjacent}&#10;=\cfrac{r}{x}&#10;=\cfrac{1}{cos(\theta)}\\\\&#10;-------------------------------\\\\&#10;P(x,y)\implies \delta\qquad tan(\delta)=\cfrac{y}{x}
5 0
3 years ago
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