Questions 1-14of 14

Which expression is equivalent to the quotient of 4 and t?
4+t
4
t
4xt
Od
4-t.

Answer:

5) 268.08cm

6)1150.35mi

7)33.51in

8)904.78yd

Step-by-step explanation:

5) V= 4/3πr^3

V=4/3π4^3

V=268.08257

6) r=1/2d

r=1/2(13)

r=6.5

V= 4/3πr^3

V= 4/3π 6.5^3

V=1150.3465

7) V= 4/3πr^3

V= 4/3π 2^3

V=33.510

8)V= 4/3πr^3

V= 4/3π 6^3

V=904.778

Answer:

The length of side x in a 30-60-90 triangle is 2√3.

Step-by-step explanation:

The numbers 30-60-90 are angles, so we need to find the side x of a right triangle with the following information:

θ: is one angle of the right triangle = 30°

α: is the other angle of the right triangle = 60°

a: is one side of the right triangle = √3

b: is the other side of the right triangle =?

x: is the hypotenuse of the right triangle =?

The length of the hypotenuse can be found by Pitagoras:

[tex] x^{2} = a^{2} + b^{2} [/tex]    (1)

So, we need to find the side "b". We can calculate it with the given angles.

From the side "a" we have:

[tex] cos(\alpha) = \frac{a}{x} [/tex]

[tex] cos(60) = \frac{\sqrt{3}}{x} [/tex]    (2)

From the side "b":

[tex] sin(\alpha) = \frac{b}{x} [/tex]

[tex] sin(60) = \frac{b}{x} [/tex]   (3)

Now, we can calculate "b" by dividing equation (3) by equation (2).

[tex] tan(60) = \frac{\frac{b}{x}}{\frac{\sqrt{3}}{x}} [/tex]

[tex] b = tan(60)*\sqrt{3} = 3 [/tex]

Finally, we can find the length of the hypotenuse with equation (1):

[tex] x = \sqrt{a^{2} + b^{2}} = \sqrt{(\sqrt{3})^{2} + (3)^{2}} = 2\sqrt{3} [/tex]

Therefore, the length of side x in a 30-60-90 triangle is 2√3.

I hope it helps you!

Answer:

24 degrees

Step-by-step explanation:

Supplementary angles sum up to give 180°

E + H = 180°

156 + H = 180

H = 180 - 156

H = 24°

Answer:

Probability of rolling a prime or multiple of 3 = 13/20

Probability of rolling a prime = 2/5

Probability of rolling a multiple of 3 = 3/10

Step-by-step explanation:

let's list primes and multiples of 3 from 1 to 20

Primes:

2 3 5 7 11 13 17 19

Multiples of 3:

3 6 9 12 15 18

Primes OR multiples of 3

2 3 5 6 7 9 11 12 13 15 17 18 19

There's 13 of them, so the probability of rolling a prime or multiple of 3 is 13/20

Probability of rolling a multiple of 3 is 6/20 = 3/10

Probability of rolling a prime is 8/20 = 2/5

Answer:

0.6 or [tex]\frac{12}{20}[/tex] or [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Here are the multiples of 3 (that are 20 or below) :

Here are the prime numbers (that are 20 or below):

Some numbers are repeated in the two lists.

Here are all the numbers:

12 numbers are prime or a multiple of 3.

As a fraction it will be [tex]\frac{12}{20}[/tex], or simplified to [tex]\frac{3}{5}[/tex]

As a decimal it will be 0.6

I hope it helped!

Answer:0,6 i took it

Step-by-step explanation:

Answer:

i think its help..............

Answer:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration

[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]

in order to do so rewrite

[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]

we can also rewrite cos²(x) by using trigonometric indentity

[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]

to apply u-substitution we'll choose

[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]

thus substitute:

[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]

apply substraction integration and:

[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]

use constant integration rule:

[tex] \displaystyle u - \int {u}^{2} du[/tex]

use exponent integration rule:

[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]

back-substitute:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]

finally we of course have to add constant of integration:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Answer:

3.4%

Step-by-step explanation:

Find the percent increase by dividing the difference in the temperatures by the original temperature, then multiplying it by 100:

((362 - 350) / 350) x 100

(12 / 350) x 100

= approximately 3.4

So, the percent increase in temperature was approximately 3.4%

Answer:

i always think of my future...i want to be a doctor when i grow up and the prospect of growing up to help other people makes me motivated to help myself to reach that goal.  Becoming a doctor is really hard work, but just focusing and visualizing my future helps me stay motivated.

Given:

Height of a trapezoidal prism = 10 cm

Base lengths are 3 and 4 cm.

Base height = 2 cm

To find:

The volume of the trapezoidal prism.

Solution:

Base area of a trapezoidal prism

[tex]B=\dfrac{a+b}{2}\times h[/tex]

Where, a,b are base lengths and h is the base height.

Putting [tex]a=3,b=4,h=2[/tex], we get

[tex]B=\dfrac{3+4}{2}\times 2[/tex]

[tex]B=7[/tex]

The volume of a trapezoidal prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Putting [tex]B=7,h=10[/tex], we get

[tex]V=7\times 10[/tex]

[tex]V=70[/tex]

Therefore, the volume of the trapezoidal prism is 70 cubic cm.

Answer:

30%

Step-by-step explanation:

there are two numbers that fit in the x<=3 category, those being -3 and -5, so you add the two decimals for them (.17 and .13) to get .30 and move the decimal two times to the right to make it in percentage form.

The probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have given a probability table in the picture.

P(x ≤ -3) = P(x = -5) + p(x = -3)

From the table:

P(x ≤ -3) = 0.17 + 0.13

P(x ≤ -3) = 0.30 or 30%

Thus, the probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Answer:

10

Step-by-step explanation:

The highest exponent determines the degree of a polynomial.

Answer:

f(13)≈45.92

Step-by-step explanation:

Answer:

x=19.88

Step-by-step explanation:

Okay, let's try and create a "table" of what we know, and what we are looking for.

4.5 litres of milk            cost                 89.5 rupees

1 litre                              costs                x rupees

Obviously, we are looking for x.

The method I'm about to tell you, might be familiar. Imagine that there was a giant X where the words cost and costs are above. There'd be a line connecting 4.5 litres of milk with the rupees we are looking for, and another line connecting 1 litre with the 89.5 rupees.

If we were to form an equation to solve for x, we'd put the connecting terms together, with an "=" between them, so we'd have this:

4.5*x=1*89.5

That's our equation, so let's solve for x.

x=89.5/4.5 => x=19.88 , let's say 20 rupees

Answer: Susie walked 4000 kilometers on day 18 of her program

Step-by-step explanation:

The question explains an arithmetic progression of  Susie's walk program

Now the nth term of an AP is given as

an = a1 + (n - 1 ) d

a1  =First term = 600 m

common difference , d =200

The 18th day of her program will be

a18 =  600+ (18 - 1 ) 200

a18 = 600+ 17 x200

a18 = 600+3,400

a18 = 4000

Answer:

b:  irrational

Step-by-step explanation:

  (√5+2)

--------------  is given.

  (√5 - 2)

If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:

(√5+2)(√5+2)

---------------------

(√5+2)(√5- 2)

and the denominator becomes 5 - 2, or 3.  The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.

Step-by-step explanation:

You need to multiple 3 for 15 and gain for12 times.

Compare which one is greater .

Write the greatest answer.

Similarly you need to do same process to next question according to power.

Answer:

27 & 16

Step-by-step explanation:

Just take like in example one:

3^15 and 3^12

You do

15-12=3

Then- 3^3=27!!

For the second:

4^10-4^8

10-8=2

4^2=16

Hope that's easy to understand!

Answer:

When 2 lines are parallel, the sum of interior corresponding angles = 180

120 + b = 180

b = 180 - 120 = 60

a + 30 = 180

a = 180 - 30 = 150

Answer:

cookie=0.5, popcorn=4

Step-by-step explanation:

1x+2y=5

1x+4y=6

cookie cost 0.5

popcorn cost 4

Answer:

1.5

Step-by-step explanation:

To find out the gradient (or the slope), we can use the formula

Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.

Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)

Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.

Feel free to ask any doubts you may have.

Hope this helps! :D

9514 1404 393

Answer:

Step-by-step explanation:

The intercepts are ...

  x-intercept = -4/-9 = 4/9

  y-intercept = -4/5

Knowing these intercepts means we can put the equation in intercept form.

  x/(4/9) -y/(4/5) = 1

The fractional intercepts make graphing somewhat difficult. However, we observe that the sum of the x- and y-coefficients is equal to the constant:

  -9 +5 = -4

This means the point (x, y) = (1, 1) is on the graph. Knowing a point, we can write several equations using that point.

We like a positive leading coefficient (as for standard or general form), so we can multiply the given equation by -1.

  9x -5y = 4 . . . . . standard form equation

Adding -4, so f(x,y) = 0, puts this in general form.

  9x -5y -4 = 0

We can eliminate the constant by translating a line from the origin to the point we know:

  9(x -1) -5(y -1) = 0

This can be rearranged to the traditional point-slope form ...

  y -1 = 9/5(x -1)

Yet another equation can be written that tells you the slope is the same everywhere:

  (y -1)/(x -1) = 9/5

These are only a few of the many possible forms of a linear equation.

Answer: c

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

I just answered the question.

Answer:

A and C

Step-by-step explanation:

Trust me

Answer:

a) 8/19 chance

b) 7/19 chance (I'm not 100% sure)

Step-by-step explanation:

A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19

Answer:

1

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer: 2,504?

Step-by-step explanation: baccically times the 2 only by 100, or at least that’s what I am seeing. LOL

Any number which has digit 2 at its thousandth place will have  the digit 2 one hundred times larger than it is in the number 524

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000.

It is important that while a digit can be the same, its value depends on where it is in the number.

Given that, we need to determine that which number is the digit 2 one hundred times larger than it is in the number 524,

So, if we consider a number having 2 at its thousandths place,

For example : 32000, the place value of 2 is 2000,

In the number 524, the place value of 2 is 20,

Now, 2000/20 = 100

So, here we see that, the digit 2 in 32000 is 100 times larger than the digit 2 in 524

Hence, any number which has digit 2 at its thousandth place will have  the digit 2 one hundred times larger than it is in the number 524

Learn more about place values, click;

https://brainly.com/question/27734142

#SPJ2

Answer:

12x + 7 is the answer

Step-by-step explanation: