In a game you are required to pull a letter from a bag that contains one of each vowel in the alphabet (A, E, I, O, and U) and then roll a standard die. What is the probability you will draw the letter E and roll an even number?

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

im going to guess it's [tex]\frac{1}{4}[/tex]

Answer:

4, $17

2, $11

Step-by-step explanation:

Given data

Charge= $5

Additional Charge= $3 per hour

The total charge will be

y= 5+3x

Number of hours

1. for  4 hours

The total will be

y= 5+3(4)

y= 5+12

y= $17

2. for  2 hours

The total will be

y= 5+3(2)

y= 5+6

y= $11

Answer:

B. 5x = 34.5 the pencil to the end

Answer:

First triangle: [tex]a = 5\sqrt{2}[/tex], second triangle: [tex]c = \frac{8\sqrt{3}}{3}[/tex]

Step-by-step explanation:

In the first triangle, the value of [tex]a[/tex] is equal to the following trigonometric relation:

[tex]a = \frac{5}{\cos 45^{\circ}}[/tex]

[tex]a = \frac{5}{\frac{\sqrt{2}}{2} }[/tex]

[tex]a = \frac{10}{\sqrt{2}}[/tex]

[tex]a = \frac{10\sqrt{2}}{2}[/tex]

[tex]a = 5\sqrt{2}[/tex]

In the second triangle, we obtain the value of [tex]c[/tex] is equal to the following trigonometric relation:

[tex]c = 8\cdot \tan 30^{\circ}[/tex]

[tex]c = 8 \cdot \left(\frac{\sin 30^{\circ}}{\cos 30^{\circ}} \right)[/tex]

[tex]c = 8\cdot \left(\frac{\frac{1}{2} }{\frac{\sqrt{3}}{2} } \right)[/tex]

[tex]c = \frac{8}{\sqrt{3}}[/tex]

[tex]c = \frac{8\sqrt{3}}{3}[/tex]

Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]

The vertices of an hyperbola (of the form)  [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]

Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;

The vertices of the parabola are ([-3], [0]), ([3], [0]).

Answer:

Step-by-step explanation:

[tex] \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \\ \\ \frac{6}{4} \: \: is \: not \: equal \: to \: \: \: \: \frac{6}{5} [/tex]

The ratio 3 / 2 is multiplied by 2 on both the denominator and numerator to get the value 6 / 4, but the denominator part is not equal to 5, hence  6/5 is not equivalent to 3/2, so option A is correct.

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

6 / 5 and 3 / 2

As you can see the numerator of 3 / 2 is multiplied by 2 to get the value 6, so the denomination should also be multiplied by the number 2,

(3 × 2 ) / (2 × 2)

6 / 4

But the result came as 4 on the numerator,

Thus, 6 / 5 and 3 / 2 are not equivalent.

To know more about Ratios:

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Answer:

y=(x-1)^2 -1

Step-by-step explanation:

If you put it in the form (x-a)^2=b

The answer will be (x-1)^2=1

Answer:

a) The quotient rule is:

if: f(x) = 1/g(x)

Then:

[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]

In this case, we have:

G(x) = 1/x

Then we can write this as:

G(x) = 1/h(x) with h(x) = x, and h'(x) = 1

Using the above rule we get:

G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2

b) For a function like:

f(x) = x^n

we have that:

[tex]f'(x) = n*x^{n - 1}[/tex]

Here we can write G(x) = x^-1

Then we have n = -1

If we use the above rule, we get:

[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]

So we got the same result using both methods.

Answer:

it's a parallelogram

Step-by-step explanation:

May ot helpful

Answer:

[tex] { - 3}^{4} = - (3 \times 3 \times 3 \times 3) \\ {( - 3)}^{4} = ( - 3 \times - 3 \times - 3 \times - 3)[/tex]

The difference is that (-3)^4 has a negative 3 with parenthesis around it, which means that if it was in PEMDAS, you would work that out first.

Answer:

I would say a parrallelogram

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

well 9+10=21

Step-by-step explanation:

21Answer: 21

Step-by-step explanation:

Answer:

(a) 1

Step-by-step explanation:

In each outcome triplet, each flip has a chance to be H or T. Thus, the following describes all the possible outcomes:

We see that the only option without one tail is the first one, HHH, so the answer is (a) 1.

Answer:

Hopes this helps!!!!!!! :D

Step-by-step explanation:

All i did was plug in the problems to the caluculator lol

Answer:

X=25

Step-by-step explanation:

All angles of a triangle add up for 180

We know that there is a 90 degree right angle.

So (x+25)+(2x-10)=180-90

Remove parenthesis since they don't matter in this problem.

x+25+2x-10=90

Combine similar terms

3x+15=90

Subtract 15 from both sides

3x=75

Divide both sides by 3

x=25

Answer: 10in^2 or this

Step-by-step explanation: Hope this help :D

Answer:

29

Step-by-step explanation:

2x2=4

5x5=25

25+4=29

Sorry if this didn't help ;(

Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

If this has helped you please mark as brainliest

Answer:

false

Step-by-step explanation:

they form when winds conbine a certain way

Answer:

Hope it helps :)

The first two logarithmic expressions are true and the third one is false.

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, [tex]4log_3c + 4log_3d = 4log_3cd[/tex].

= [tex]log_3(cd)^4[/tex] it is true.

[tex]\frac{3}{4}(lna + lnb) = \frac{3}{4}ln(ab)[/tex].

= [tex]ln(ab)^{\frac{4}{3}}[/tex] it is true.

[tex]3lne + 2lnf = lne^3 + lnf^2[/tex].

= [tex]ln(e^3f^2)[/tex] it is false.

learn more about logarithms here :

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Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Let the number be x.

Now,

2x + 8 = 60

2x = 60 - 8

x = [tex]\dfrac{52}{2}[/tex]

x = 26

Hence, the number is 26.

Answer:  16x^2 - 40x + 25

Step-by-step explanation:

Answer:

uniform for 1 student = 1 1/8 = 9/8

uniform 32 students = 32 x 9/8 = 36m

Total cloth = 45 3/4 = 183/4 = 45.75m

Cloth left = 45.75 - 36 = 9.75m i hope that helps

Answer:

54/81 is the answer

Step-by-step explanation:

Answer:

y= -4/3x

Step-by-step explanation:

hope this helps :)

Answer:

surface area of the triangular prism

(8×6)+(15×10)+(15×6)+(8×15)

48+150+90+120

408 m²

Step-by-step explanation:

y = -4(x – 7)(x - 1)

= -4(x²-8x+7)

= -4x²+32x-28

Answer:

c

Step-by-step explanation:

Answer:

C. 4x+1

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.

(8×20.5=164) 8 cents=10 (10×20.5=205)

164 dollars=205

Therefore,the answer is 164 dollars.

hope this helps,have a great day!!

~Pinky~