Arun has captured many yellow-spotted salamanders. He weighs each and then counts the number of yellow spots on its back. This trend line is a fit for these data.

A. negative

B. weak

C. parabolic

D. strong​

Answer:

71 degrees

Step-by-step explanation:

1. We know that the angle is unknown as demonstrated by '?'

2. The 17 side is opposite of the unknown angle

3. The 18 side the hypotenuse (not in contact with the right angle)

4. Therefore sine will be used where, sine(degree) = opposite/hypotenuse

5. The equation should be sine(degree) = 17/18

6. Since we don't know the degree we bring sine to the left and has a negative power of 1

7. The equation now becomes degree = sine^-1 (17/18)

8. The answer to this is 70.811... which equals 70 degrees and 48 minutes which rounds to the nearest degree of 71

Answer:

This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope.

Answer:

Architecture, Engineering, Astronomy, etc.

Step-by-step explanation:

Engineers use the Pythagorean Theorem by knowing the height of the roof and the length for it to cover, and it will result in the diagonal length of the roof's slope.  Architects use the Pythagorean Theorem to calculate the heights of buildings and the lengths of walls. Astronomers sometimes use the theorem to calculate the paths of spacecraft, including rockets and satellites.

Answer:

10,247

Step-by-step explanation:

yw bro:)

Answer:

10,247

Step-by-step explanation:

10,246 + 1 = 10,247

Answer:

Im not sure but i think its 200 times

Step-by-step explanation:

Russia is 2 × 10³ times larger than Puerto Rico.

Exponentiation is a method of writing numbers, especially larger numbers, as the power of some number. A number can be written in the exponent form as aᵇ, where 'a' is called the base and 'b' is called the power or exponent.

Total land area of Russia = 20,000,000 km² = 2 × 10⁷ km²

Total land area of Puerto Rico = 10,000 km² = 10⁴ km²

Let X be the number of times that Russia is larger than Puerto Rico.

Then we can write,

Total land area of Russia = X × Total land area of Puerto Rico

2 × 10⁷ km² = X × 10⁴ km²

X = 2 × 10⁷ km² / 10⁴ km²

X = 2 × 10⁷ × 10⁻⁴

X = 2 × 10³

Hence, about 2 × 10³ times larger is Russia than Puerto Rico.

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Answer:

two which is B

Step-by-step explanation:

the lines only intersect twice

Answer:

20.2 + 0.9xy

      &

20.2-1.7xy

Step-by-step explanation:

Answer: x= 2 + [tex]\sqrt\\ 19[/tex]  , x= 2 - [tex]\sqrt19\\[/tex]

Step-by-step explanation:[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:3\left(-45\right)}}{2\cdot \:3}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \:6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x_1=\frac{-\left(-12\right)+6\sqrt{19}}{2\cdot \:3},\:x_2=\frac{-\left(-12\right)-6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x=2+\sqrt{19},\:x=2-\sqrt{19}[/tex]

Answer:

Step-by-step explanation:

Answer: 1: 14

2: -2

3: 3

4: 2

5: 5

6: 6

7: -1

Step-by-step explanation:

Answer:

2.25 miles

Step-by-step explanation:

When driving a car time taken is 20 minutes. This is equal to 20/60 hours , 1/3 hours / 0.3 hours

When riding a bike , time taken is 45 minutes. This is 45/60 hours , 3/5 hours/ 0.75 hours

The formula for speed is : Speed = Distance covered / time taken

The statement is that the driving speed is greater than biking speed by 4.5 mph

Assuming the distance to work is x miles then;

x/ 0.3 - x/0.75 = 4.5  ------eliminate 0.3 by multiplying each term by 0.3 to get

x- 0.3/0.75 x = 1.35 -------eliminate 0.75 by multiplying each term by 0.75 to get

0.75 x - 0.3 x = 1.0125

0.45 x = 1.0125

x= 1.0125 / 0.45

x = 2.25

Answer:

2 mph

Step-by-step explanation:

Since Jenny can do 1/2 of a mile in 1/4th of an hour, she can do twice as many miles, which is 1/2

Answer:

Step-by-step explanation:

Given

Solving for variables

1

2

Answer:

18n + 12 = 27n + 3

12-3=27n-18n

9=9n

n=9/9=1

5(x + 7) = 6(x - 5)

5x+35=6x-30

35+30=6x-5x

65=x

:.x=65

Answer:

2155.45 - 8.5% = 1972.23675. 2 DP = 1972.24

Answer:

$247.37

Step-by-step explanation:

The total dinner bill with a tip for the large party is $177.90.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The gratuity for a large party is 20% of the bill, so we can calculate the gratuity by multiplying the bill by 0.2.

Gratuity = bill x 0.2

Gratuity = 148.25 x 0.2

Apply the multiplication operation, and we get

Gratuity = 29.65

To find the total bill, we add the gratuity to the original bill.

Total bill = bill + gratuity

Total bill = 148.25 + 29.65

Apply the addition operation, and we get

Total bill = $177.90

Hence, the total dinner bill with a tip for the large party is $177.90.

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Answer:

10⁴ seconds

Step-by-step explanation:

Given that,

A person breathes [tex]2.5\times 10^{-4}[/tex] in about cubic meters of air per second.

We need to find time taken to breathe 2.5 cubic meters of air.

In 1 sec = [tex]2.5\times 10^{-4}[/tex] m³ of air breathe

Let in x seconds, 2.5 m³ of air taken by the person.

[tex]x=\dfrac{2.5}{2.5\times 10^{-4}}\\\\x=10^4\ s[/tex]

Hence, in 10⁴ seconds 2.5 m³ of air is taken by the person.

Answer: It would cost $17.5 travel 25 miles.

Step-by-step explanation:

Given: Flat rate = $15

Charge per mile = $0.10

Total cost = Flat rate + (Charge per mile) (Number of miles)

Let x= Number of miles traveled.

So Total cost = 15 +0.10x

Put x= 25 miles

Total cost = 15 +0.10(25)

= 15+2.5 = $17.5

Hence, it would cost $17.5 travel 25 miles.

Answer:

I think it's the 28th St. but I'm not sure.

Answer:

The correct answer is the process capability index

Step-by-step explanation:

According to the given scenario, the process capability index is the index where it determines the capability or the ability of the process with respect to generating the output or results within the given limits

Therefore as per the given scenario, it represents the process capability index as it fits to the current situation given in the question.

Therefore The correct answer is the process capability index

Answer:

B. The time when the concert starts.

Step-by-step explanation:

If -5 is five minutes before and 5 is five minutes then 0 would be when it starts.

Answer:

36 hours

Step-by-step explanation:

he earns 14.6 per hour

Answer:

Can see anything??

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

edg

Answer:

16 b plus a is mathematically plus 185 so 15

Answer:

a. i. 150 cm³ ii. 150 cm³

b. i. 220 cm³ ii. 120 cm³

c. i. 297 cm² ii. 220 cm²

Step-by-step explanation:

a. For the cube

Dimensions of Cube = 5cm x 5cm x 5cm

Length of side = 5 cm

i. Total surface area A = 6L² where L = length of side = 5 cm

So, A = 6 × (5 cm)²

= 6 × 25 cm³

= 150 cm³

ii. Lateral surface area A' = 4L²

= 4 × (5cm)²

= 4 × 25 cm²

= 100 cm²

b. For the cuboid

Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm

i. Total surface area A = 2(lb + lh + hb)

= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)

= 2(50 cm² + 40 cm² + 20 cm²)

= 2(110 cm²)

= 220 cm²

ii. Lateral surface area A' = 2(lh + hb)

= 2h(l + b)

= 2 × 4 cm (10 cm + 5 cm)

= 8 cm × 15 cm

= 120 cm²

c. For the cylinder

Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm

i. Total surface area, A = 2πr(r + h) where r = radius = d/2

A = πd(d/2 + h)

= 22/7 × 7 cm(7 cm/2 + 10 cm)  

= 22cm(3.5 cm + 10 cm)

= 22cm(13.5 cm)

=  297 cm²

ii. Lateral surface area A = 2πrh

= πdh

= 22/7 × 7 cm × 10 cm

= 22 cm × 10 cm

= 220 cm²

Answer:

Value of discriminant is 20

Step-by-step explanation:

Formula of discriminant is:

[tex]D=b^2-4ac[/tex]

so our equation is

[tex]-4x^2+6x-1=0[/tex]

where a = -4, b = 6 , c = -1

so our discriminant becomes,

[tex]D=b^2-4ac\\D=(6)^2-4(-4)(-1)\\D=36-16\\D=20[/tex]

Since the discriminant is positive we have two distinct real number solutions or two distinct roots, and to solve the we just use the quadratic formula and get the two different values of x.

[tex]x_1=0.191\\x_2=1.309[/tex]

I have attached a graph also to confirm your answer, you use an online graphing calculator to verify it as well.

Answer:

The options are not shown, so i will answer in a general way.

First, for a line of the form:

y = a*x + b

All the perpendicular lines will have a slope of -(1/a), then we can write a general perpendicular line as:

y = -(1/a)*x + c.

In this problem we have the perpendicular lines:

y=(s/t)*x+10

y = (q/r)*x - 4

Because those lines are perpendicular, we must have that:

(q/r) = -(1/(s/t)) = -(t/s)

q/r = -t/s

and we knew that s, t, q and r are integers (where t and r can not be equal to zero), and because of this relation, where we can see that in the denominator at the right we have the integer s, we can conclude that s can not be zero (we can not divide by zero).

And we know that t and s are both different than zero, then:

-t/s ≠ 0.

This means that:

q/r ≠ 0

And from this, we can conclude that q is different than zero.