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2 years ago

What is the y intercept of this graph of this graph

Mathematics

1 answer:

kompoz [17]2 years ago

8 0

Answer:

i cant entirely see the image well, but the y intercept should be the line that passes through the line on the graph that goes up and down

Step-by-step explanation:

i hope this helps :))

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Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.

Lyrx [107]

First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Then

sin(θ) = -√(1 - cos²(θ)) = -4/5

and so

tan(θ) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(θ) = 1/cos(θ) = 5/3

csc(θ) = 1/sin(θ) = -5/4

cot(θ) = 1/tan(θ) = -3/4

4 0

3 years ago

A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the

Vedmedyk [2.9K]

(a) Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T - 75)$ where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get $\dfrac{dT}{T - 75} = k dt$ . Integrate both sides to get $\ln|T - 75| = kt + C$ .

Since $T(0) = 185$ , we solve for C:
$|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110$
So we get $\ln|T - 75| = kt + \ln 110$ . Use T(30) = 150 to solve for k:
$\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)$

So

$\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t} \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}$

But choose Positive because T > 75. Temp of turkey can't go under.

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)} = 136.929 \approx 137{}^{\circ}F$

(b)

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30} \\
100 = 75 + 110(15/22)^{t/30} \\
25 = 110(15/22)^{t/30} 
\frac{25}{110} = (15/22)^{t/30} \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22) \approx 116\ \mathrm{min}$

Dogs of the AMS.

4 0

3 years ago

Help with 19??????????

Luba_88 [7]

Adding Integers

If the numbers that you are adding have the same sign, then add the numbers and keep the sign.

Example:

-5 + (-6) = -11

Adding Numbers with Different Signs

If the numbers that you are adding have different (opposite) signs, then SUBTRACT the numbers and take the sign of the number with the largest absolute value.

Examples:

-6 + 5= -1

12 + (-4) = 8

Subtracting Integers

When subtracting integers, I use one main rule and that is to rewrite the subtracting problem as an addition problem. Then use the addition rules.

When you subtract, you are really adding the opposite, so I use theKeep-Change-Change rule.

The Keep-Change-Change rule means:

Keep the first number the same.

Change the minus sign to a plus sign.

Change the sign of the second number to its opposite.

Example:

12 - (-5) =

12 + 5 = 17

Multiplying and Dividing Integers

The great thing about multiplying and dividing integers is that there is two rules and they apply to both multiplication and division!

Again, you must analyze the signs of the numbers that you are multiplying or dividing.

The rules are:

If the signs are the same, then the answer is positive.

If the signs are different, then then answer is negative.

6 0

3 years ago

What is the following quotient? 2- 8sqr / 4+12 sqr

AlekseyPX

Answer: 130

Step-by-step explanation:

--> first solve sqr-->2-64/4+144

-->perform division next as per DMAS rule-->64÷4=16--> 2-16+144

--> now perform addition and subtraction-->2-16-14--> -14+144= 130

7 0

3 years ago

A rectangular kitchen is 4 meters longer than it is wide. If the area of the kitchen is 192 square feet meters, how many meters

Lunna [17]

Lets x = width
length = x + 4 (4 meters longer than wide)

A = L * W
192 = x ( x +4)
192 = x^2 + 4x
x^2 + 4x - 192 = 0
(x +16)(x-12) = 0
x - 12 = 0, x = 12
x + 16 = 0, x = -16
so width x = 12
length = 12 + 4 = 16 (4 meters longer than wide)

answer. J
16

3 0

3 years ago