Which of the answers is equal to sec(x)? *
O 1/cot(x)
O 1/sin(x)
O 1/cos(x)
O 1/csc(x)

Answer:

y=−1/7

for the picture is y=-57/7

Step-by-step explanation:

Switch:sides

-7y+7=8

subtract 7 from both sides

-7y=1

divide both sides by -7

y=−1/7

multiply both sides by (y+7)

8/y+7(y+7)=-7(y+7)

simplify 8=-7(y+7)

flip

-7(y+7)=8

divide both sides by -7

y+7=-8/7

subtract 7 from both sides

and simplify

y=-57/7

( solution at pic)

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

Answer:

50.3

Step-by-step explanation:

Answer:

50.3

Step-by-step explanation:

I know this because im smaart

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

undefined

Step-by-step explanation:

because

the figure does not appear

Answer: the answer is two :)

Step-by-step explanation:

4x=5+3

4x=8

x= 8/4

x=2

Answer:

I guess it's 6 but I'm not really sure about my answer

And: 0

Step-by-step explanation:

We know,

Total amount of paint (t)= 4/5

Total amount of used paint (u)=3/4+2/3= 17/12

Remaining amount of paint (r)= ?

Now,

r = t-u

= 4/5-17/12

= -37/60

Hence, the amount of paint cannot be in negative so the answer is zero.

I hope it will be useful to you .

Answer:

r = 9

Step-by-step explanation:

Hello!

Solve for r by isolating the variable.

The value of r is 9.

Answer:

She saved $27

Step-by-step explanation:

Search "what is 30% of $90"

It says 27 US$

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

Answer:

Step-by-step explanation:

После того как от проволоки отрезали несколько

сантиметров, в мотке осталось 32 сантиметра.

Сколько сантиметров проволоки отрезали от

мотка?​

We want to find the simplest form for the radical expression;

Since these are in form of common cubes, we can write;

Thus, the final and simplest form is ;

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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Answer:

\(28\), \(82\)

Step-by-step explanation:

\(10 \times 3 -2=28\\28 \times 3 - 2 = 82\)

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

\(\frac{dy}{dt}=304mi/h\)

Step-by-step explanation:

From the question we are told that:

Height of Plane \(h=3mi\)

Speed \(\frac{dx}{dt}=460mi/h\)

Distance from station \(d=4mi\)

Generally the equation for The Pythagoras Theorem is is mathematically given by

\(x^2+3^2=y^2\)

For y=d

\(x^2+3^2=d^2\)

\(x^2+3^2=4^2\)

\(x=\sqrt{7}\)

Therefore

\(x^2+3^2=y^2\)

Differentiating with respect to time t we have

\(2x\frac{dx}{dt}=2y\frac{dy}{dt}\)

\(\frac{dy}{dt}=\frac{x}{y}\frac{dx}{dt}\)

\(\frac{dy}{dt}=\frac{\sqrt{7}}{4} *460\)

\(\frac{dy}{dt}=304.2614008mi/h\)

\(\frac{dy}{dt}=304mi/h\)

Answer:

(3p3)(3p3)

Step-by-step explanation:

I am going to assume that you meant (3p3)^2.

Something squared is being multiplied by itself. Therefore, we would simply rewrite the same thing twice multiplying each other.

Answer:

the x intercepts is 28/5

Step-by-step explanation:

0=2x+3x-28

0=5x-28

-5x=-28

28/5

Answer:

I think it's the third one

Step-by-step explanation:

I've done this before, but try the 3rd one, if not then try the second one. it's been awhile since I've done this. I'm sorry if I'm wrong

The loan's future value, FV = $10563.5

Let the amount borrowed by Lynned be the principal, P

P = $9250

The interest rate , r = 7.1%

r = 7.1 / 100

r = 0.071

Time, t = 24 months

12 months = 1 year

24 months = 2 years

t = 2 years

The future value is given by the formula:

FV = P ( 1 + rt)

FV = 9250 ( 1 + 0.071(2) )

FV = 9250 ( 1 + 0.142)

FV = 9250 ( 1.142)

FV = $10563.5

The perimeter of the given triangle ABC with coordinates A(1,2) ; B(7,9) and C(7,2) using distance-formula , is 22.2 units.

What is distance-formula?

To get the separation between two points on a coordinate plane, use the distance formula. The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will evaluate the distance if the two points are on the same horizontal or vertical line. the area of polygons, the perimeter of polygons on a coordinate plane, the total of the lengths of all the sides of a polygon, and other distance measurements.

Consider two points (x , y) and (X, Y) and the distance d between them, then according to distance formula:

d=\(\sqrt{(X-x)^{2} + (Y-x)^{2} }\)

Distance between points A(1,2) and B(7,9), AB

=\(\sqrt{(7-1)^{2} +(9-2)^{2} }\)

=\(\sqrt{6^{2} +7^{2} }\)

=\(\sqrt{36+49}\)

=\(\sqrt{85}\)

=9.219≈ 9.2 units

Distance between points B(7,9) and C(7,2), BC

=\(\sqrt{(7-7)^{2} +(9-2)^{2} }\)

=\(\sqrt{0^{2} +7^{2} }\)

=\(\sqrt{0+49}\)

=7 units

Distance between points A(1,2) and C(7,2), CA

=\(\sqrt{(7-1)^{2} +(2-2)^{2} }\)

=\(\sqrt{6^{2} +0^{2} }\)

=\(\sqrt{36+0}\)

=6 units

Perimeter of triangle= sum of all sides

                                 =AB+BC+CA

                                 =9.2+7+6

                                 =22.2 units

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Refer to the attachment for complete question.

The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

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Answer: $80

Step-by-step explanation:

30% = 0.30

$80 x 0.30 = $24

Answer:

58 degrees

Step-by-step explanation:

XYZ is 90 degrees. XYO is 32 degrees. Angle x takes up the space leftover in the right angle, so simply subtract 32 from 90.

90-32= 58

Hope this help! (if it does pls consider giving me brainliest)

Answer:

21

Step-by-step explanation:

Answer:

The answer is 9.

Step-by-step explanation:

If you have a number line, which I don't, you can count the spaces. The answer should be 9.

Answer:

h = 34.8

Step-by-step explanation:

(20 - 2) × 180 = 3240

3240 ÷ 20 = 162

5h - 12 = 162

+ 12 to cancel out the -

5h = 174

÷ 5 to cancel out 5 × h

h = 34.8