Complete each of the diamond problems below

Answer:

1/52

Step-by-step explanation:

To obtain the probability of drawing a 9 of spade from a deck of 52 cards ;

Probability = (number of required outcomes / number of total possible outcomes)

Number of Required outcomes = 1 (there is only one 9 of spade in a deck of 52 cards)

Hence,

P(9 of spade). = 1 / 52

Answer:

The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]

Step-by-step explanation:

Voltage Sources in Series

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

[tex]2 + 6\mathbf{i}[/tex]

[tex]a + b\mathbf{i}[/tex]

[tex]2 - 5\mathbf{i}[/tex]

The sum of these voltages is:

[tex]V_t=4+a+(6+b-5)\mathbf{i}[/tex]

Operating:

[tex]V_t=4+a+(1+b)\mathbf{i}[/tex]

We know the total voltage is [tex]6-3\mathbf{i}[/tex], thus:

[tex]4+a+(1+b)\mathbf{i}=6-3\mathbf{i}[/tex]

Equating the real parts and the imaginary parts independently:

4+a=6

1+b=-3

Solving each equation:

a = 2

b = -4

The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]

The voltage at the middle source is;

E2 = (2 + 4i) V

From the image, we see the voltage at each point as;

E1 = (2 + 6i) V

E2 = (a + bi) V

E3 = (2 - 5i) V

The given voltages are in series and as such the total voltage will be;

E_t = E1 + E2 + E3

We are told that the total source voltage is (6 - 3i)V. Thus;

(6 - 3i) = (2 + 6i) + (a + bi) + (2 - 5i)

Rearranging gives;

(a + bi) = 6 - 3i - (2 + 6i) - (2 - 5i)

(a + bi) = 6 - 3i - 2 - 6i - 2 + 5i

(a + bi) = 2 - 4i

The middle source voltage is E2 = (a + bi) V. Thus;

E2 = 2 - 4i

Read more at;https://brainly.com/question/8151005

Answer:

41 Fahrenheit

Step-by-step explanation:

The convertion formula is:

(C × 9/5) + 32 = F

So if we fill in the blanks we get:

(5°C × 9/5) + 32 = 41°F

So the anwser is 41°F

Answer:

Positive

Step-by-step explanation:

It's positive because the person is gaining 4 yards, not losing it.

Explanation:

Choice A is a reflection. Choice C is a rotation. Reflections and rotations are isometries because they preserve the same shape and size of the original figure. Translations are the third type of isometry.

Choice B is not an isometry. It looks like an extra point is added along with extra line segments. The before and after figures are completely different.

Answer: 17955

Step-by-step explanation:

Answer:

B

Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer

9514 1404 393

Answer:

  $110

Step-by-step explanation:

At an average rate of $3 per day, in 14 days Brian will have spent ...

  ($3/day)(14 days) = $42

If he has $68 left, then he must have started with ...

  $68 +42 = $110

Answer:

56

Step-by-step explanation:

When we divide a number with a fraction, we change the sign into a multiplication sign, and we do the reciprocal.  Then we multiply across.

Answer:

5/6 + 2 1/6 in simplest form, would be 3.

Answer:

3

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

1)

From the graph, taking the two points

(3, -5)

(-3, 5)

The slope between (3, -5) and (-3, 5) will be:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{5-\left(-5\right)}{-3-3}[/tex]

[tex]m=-\frac{5}{3}[/tex]

Therefore, the slope is:

[tex]m=-\frac{5}{3}[/tex]

2)

1ST METHOD

We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y

From the graph, it is clear that:

at x=0, y=0

Thus, the y-intercept is: (0, 0)

2ND METHOD

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where 'm' is the slope and 'b' is the y-intercept

substituting the point (3, -5) and m=-5/3 in the slope-intercept form

[tex]y=mx+b[/tex]

[tex]-5=\frac{-5}{3}\left(3\right)+b[/tex]

[tex]\frac{-5}{3}\left(3\right)+b=-5[/tex]

[tex]-5+b=-5[/tex]

[tex]b=0[/tex]

Thus, the y-intercept is: (0, 0)

3)

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

substituting m=-5/3 and b=0 to determine the equation line in the slope-intercept form

[tex]y=\frac{-5}{3}x+0[/tex]

Therefore, the equation line in the slope-intercept form is:

[tex]y=\frac{-5}{3}x+0[/tex]

where m=-5/3 and b=0

Answer:

The options are not shown, but we can craft the graph so you can find the one that matches it.

We know that:

Each neighbor pays the same, let's define this amount as A.

Last week, he walked 4 dogs, then the amount that he collected must be four times A, or:

4*A

And we know that this amount is $25, then:

4*A = $25

A = $25/4 = $6.25

Then we can write the relationship:

y = $6.25*x

where:

y = money that Liam earns.

x = number of dogs Liam walks.

The graph of this line is shown below.

Answer:

y=8x+5

Step-by-step explanation:

Answer:

the third one should be it

Answer:

#9= 100 degrees but I'm not sure about #10.

Step-by-step explanation:

We know that a triangle has a total of 180 degrees.

So we add 16, 34, and 30

16+34+30=80

Then we subtract the amount from the total degrees of a triangle.

180-80

= 100 degrees

I hope this helps:)

Answer:

6

Step-by-step explanation:

Answer:

yeah 6 times.

Step-by-step explanation:

Answer: After 7 hours, 175 customers had been in the store.

Step-by-step explanation:

Did the quiz, Trust me.

Answer:

ccccccccc!

Step-by-step explanation:

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

[tex]60\:\times 2^{-2}[/tex]

[tex]=60\times \frac{1}{2^2}[/tex]             ∵ [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]

[tex]=\frac{1\times \:60}{2^2}[/tex]

[tex]=\frac{60}{2^2}[/tex]

[tex]=\frac{2^2\times \:3\times \:5}{2^2}[/tex]

[tex]=3\times \:5[/tex]

[tex]=15[/tex] gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

Answer:

Demarcus is right the phone will cost $345

Step-by-step explanation:

15% of 300 = 45

300+45=345

Answer:

0.050196

Step-by-step explanation:

normally, 2 place values is the answer so 0.05

Answer:

512

Step-by-step explanation:

Your question is probably

Evaluate: 5.12 ÷ 10^2.

your answer is here

Answer:86%of 950= 817

Step-by-step explanation:

Answer:

817

Step-by-step explanation:

Answer:

10,560

Step-by-step explanation:

1 mile=5,280 feet

5,280x2=10,560

Answer:

a + (a + 6b)

2a + 6b

(a + 3b)2

Answer: 35

Step-by-step explanation:

20 divided by 7 = 2.8

100 divided by 2.8 = 35

Answer:

Step-by-step explanation:

since the first equation is already simplifies to y = 2x plug in 2x for the y in the second equation and solve

x = -(2x) + 6

x = -2x + 6

3x = 6

x = 2

plug in our x to the original equation

y = 2(2)

y = 4

so our answer is (2,4)

hope this helps <3

Answer:

x = 2

Step-by-step explanation:

If y is 2x, and x is -y + 6, what's x?

So let's use substitution method. Just replace the -y in x = -y + 6 with 2x:

x = -y + 6

x = -2x + 6

add 2x to both sides

3x = 6

divide by 3

x = 2

Answer:

2    4   23

Step-by-step explanation: