Electrical power (P) is measured in watts using the formula P = V · I where V is the voltage in volts and I is the current in amperes.

If there are 60 volts running to a light bulb of 174 watts, how much current is flowing through the light bulb?

Answer: 30 x 20; 6 x 20; 30 x 3; 6 x 3

Step-by-step explanation: When multiplying 36 and 23, we first start out by multiplying 3 and 36. Then we multiply 20 and 36 using the double digit multiplication method. We add those numbers to get 828.
3 • 36 can be broken into:

3 • 30 + 3 • 6
20 • 36 can be broken into:

20 • 30 + 20 • 6.

So 23 • 36 is equal to the sum of 3 • 30 + 3 • 6 + 20 • 30 + 20 • 6.

We also know that the grouping 30 x 20; 6 x 20; 30 x 3; 6 x 3 is correct because it’s the only answer choice that sums to 828.

Answer:The knight moves multiple squares each move. It either moves up or down one square vertically and over two squares horizontally OR up or down two squares vertically and over one square horizontally. This movement can be remembered as an "L-shape" because it looks like a capital "L".

Step-by-step explanation:

this is all i got as a experienced player of chess. hope i helped some:).

z-score for a sample mean of 65.30 is 60.085.

Z-scores are calculated using the formula z = (x-)/, where x represents the raw score, the population mean, and the population standard deviation. The z-score is simply the raw score less the population mean, divided by the population standard deviation, as the calculation demonstrates.

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Using ratio, the total number of peanut butter on the shelf is 144.

So, the ratio of creamy to crunchy peanut butter:

If there are 18 jars of crunchy peanut butter, the total number of peanut butter will be:

Total ⇒ 90 + 54 = 144

Therefore, using ratio, the total number of peanut butter on the shelf is 144.

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Answer:

C. Circle X, circle Z, circle Y

Step-by-step explanation:

X has the largest area; followed by Z and then Y

The probability of getting the ball in the hole is 0.084.

We have a blackboard. The length of the blackboard is 36 inches. The width of the blackboard is 26 inches. The blackboard has a hole in it. The diameter of the hole is 10 inches.

We need to find the probability of getting the ball in the hole.

The area of the blackboard is the product of the length and width.

A1 = 36*26

A1 = 936 inches²

The area of the hole is πr².

A2 = π(5)²

A2 = 25π = 78.54 inches²

The probability of getting the ball in the hole is the ratio of the area of the hole to the area of the blackboard.

P = A2/A1

P = 78.54/936

P = 0.084

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The linear function that has the same slope is y = x

To solve this question, we have to determine the slope and y-intercept for this graph.

We would need two coordinate points in order to do this;

The slope of a line is given as

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

Let's substitute the values into the equation and solve.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{1 - 6}{1- 6}\\m = \frac{-5}{-5} \\m = 1[/tex]

The slope of the line is equal to 1

The y-intercept is the point at which the line touches the y-axis and in this graph, the y-intercept is at 0.

The equation of this line is equal to y = x  

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Answer: We want to find the acceleration needed to achieve a force of 25 Newtons.

The acceleration is:

a = 25N/m

By Newton's second law, we know that:

F = m*a

Force equals mass times acceleration.

So if we want to have a force of 25N, we replace F by 25N, so we get:

25N = m*a

Solving this for the acceleration, we get:

25N/m = a

Notice that we can't get the exact acceleration as we do not know the mass of the object, but we got a general formula where we can replace the mass of the object to get the exact acceleration.

Step-by-step explanation:

Answer:

i don't learn this because i learn in georgia 7 class

Answer:

There are exactly 30 more cats than dogs and 5/9 of the pets at the farm are cats. Therefore, options C and E are correct answers.

Given that, the ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 4+5=9

Number of dogs = 4/9 × 270

= 120

So, number of cats = 270 - 120 =150

Now, difference in number of dogs to cats = 150-120

=30

There are exactly 30 more cats than dogs and 5/9 of the pets at the farm are cats. Therefore, options C and E are correct answers.

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"Your question is incomplete, probably the complete question/missing part is:"

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats

b. 4/5 of the pets at the farm are dogs

c. There are exactly 30 more cats than dogs

d. There are exactly 30 dogs at the farm

e. 5/9 of the pets at the farm are cats

Word problems commonly include mathematical modelling questions, where data and information about a certain system is given and a student is required to develop a model.

We have been given that

4 3/4 + 2 1/4 = ?

Convert into word problem .

Bob has 4 apples in which 3/4 apples are good and also he has 2 bananas in which 1/ 4 bananas are good . Then find out how much of amout i good condition ?

Solution - 4 × 3/4 = 3

and 2 ×1/4 = 1/2

then total good = 3 + 1/2 = 3.5

If it is  factor problem then

Solution -.

4 3/4 + 2 1/4 = ?

simlify the equation

= 19/4 + 9/4

= ( 19 + 9 ) / 4

= 28 / 4

= 7.

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Answer: ≈4.33%

Step-by-step explanation:

x = 2 and y = 1 is the solution to the system of equation {x + y = 1, 3x -y = 7 }.

Given the data in the question;

To solve for the value of x and y, first write the in matrix form.

[tex]\left[\begin{array}{ccc}1&1&1\\3&-1&7\end{array}\right][/tex]

Find the reduced row echelon form, Row operation R₂ = R₂ - 3R₁

[tex]\left[\begin{array}{ccc}1&1&1\\3-3*1&-1-3*1&7-3*1\end{array}\right]\\\\\left[\begin{array}{ccc}1&1&1\\0&-4&4\end{array}\right][/tex]

Multiply each element of R₂ by -1/4

[tex]\left[\begin{array}{ccc}1&1&1\\-\frac{1}{4}* 0&-\frac{1}{4}* -4&-\frac{1}{4}*4\end{array}\right]\\\\\left[\begin{array}{ccc}1&1&1\\0&1&-1\end{array}\right][/tex]

Perform the operation, R₁ = R₁ - R₂

[tex]\left[\begin{array}{ccc}1-0&1-1&1+1\\0&1&-1\end{array}\right]\\\\\left[\begin{array}{ccc}1&0&2\\0&1&-1\end{array}\right][/tex]

Therefore, the matrix result is x = 2 and y = -1.

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Answer:

C

Step-by-step explanation:

twice as bigger than A

Answer:

[tex]\frac{11}{2} ,-\frac{13}{2}[/tex]

Step-by-step explanation:

we know That l [tex]x[/tex] l = x when x > 0 and l x l = - x when x <0

for the given equation - 5|3 + 4k| = - 115

when 3 + 4k > 0 the equation becomes

-5(3+4k) = - 115

→ -5 · 3 - 5 · 4k = - 115

→- 20k = - 115 + 15 = - 110

→ k = -[tex]\frac{110}{-20}[/tex]  = [tex]\frac{11}{2}[/tex]

Again when 3 + 4k <0 the equation becomes

-5(-(3+ 4k )) = - 115

→15 + 20k = - 115

→ 20k = - 115 - 15

→ 20k = - 130

⇒ k = -[tex]\frac{130}{20}[/tex] = -[tex]\frac{13}{2}[/tex]

Answer:

2+2=4

Step-by-step explanation:

v(t)=vt p=¥€

Answer:

the answer is

Step-by-step explanation:

5%
A

Value of quadratic equation is x = -1 and 11.

In mathematics, a quadratic equation is one with degree 2, which means that its maximum exponent is 2. A quadratic has the standard form y = ax² + bx + c, where a, b, and c are all numbers and a cannot be zero. All of these are examples of quadratic equations: the square root of the sum of the squares of the values, given by y = x² + 3x + 1. a degree 2 equation with just one variable. Ax² + bx + c = 0, where x is the variable and a, b, and c are constants (a 0), is its general form.

Given Data

Equation

x² - 10x -11 = 0

x² -11x + x -11 = 0

Completing the square,

x(x - 11) + 1(x -11) =0

Taking common,

(x+1)(x -11) =0

x = 11. -1

Value of quadratic equation is x = -1 and 11.

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Answer:

V=2/3πx^3

Step-by-step explanation:

Volume of Cone: V=r^2πh/3

h=2r --> height is twice the radius

V=r^2π(2r)/3

V=r*r^2π(2)/3

V=2/3πr^3

V=2/3πx^3

Answer:

Step-by-step explanation:

As a decimal it is 0,98333........   (the 3 is recurring)

Answer:

Step-by-step explanation:

find radius

24 : 2 = 12 ft

find area (πr²)

π12² =

3.14 * 12² =

3.14 * 144 =

452.16 ft²

Answer:

153

Step-by-step explanation:

Hello! Unsure if this is a proper question but I can sure try!

Let's start with the logic of it:

793:

To start with this one, one digit is right and is in the right place. From this step, we can't really infer anything.

725:

One digit is right but in the wrong place. Now we can do something here. There is another digit here that's correct but in the wrong place. We can eliminate 7 entirely from both 725 and 793 as they are in the same position and cannot be in the right and wrong place at the same time.

317:

Two digits are right but in the wrong places. Since we eliminated 7, the two right digits are 3 and 1, just in the wrong spots. At this point, we still need to figure out one more digit so we can't infer their positions just yet.

849:

All digits are wrong. This only affects 793, which removes 9. From here on out, 3 is the correct digit in the right place.

491:

One digit right but in the wrong place. From here, the rule from 849 applies here, meaning we can rule out 9 and 4, leaving us with 1.

From here, it gets a bit tricky. Since 3 is in the correct place. From 725, we have already ruled 7 out, leaving us with 2 and 5. But since we already know 3 is in the last place, it means 5 must be moved to the middle digit in order for 725's statement to be true. Meaning 2 is ruled out.

Finally, the only digit we are left with is 1 as for the rule of 317 and 491.

Making the answer 153.

Let me know if that is correct or wrong and do help me understand if it was wrong!

Step-by-step explanation:

since the fee is $5.10 for each and every application, the result is simply taking the fee of one application 64 times.

that means multiplication.

so, the result is

64×5.10 = $326.40

Answer:

The measure of angle BOC is 45°

Step-by-step explanation:

If you need to show your work tell me please!

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

In this case, our slope is undefined. We know this because the slope never changes in the x direction:

[tex]m=\frac{x}{0}[/tex]

Thus, we can only conclude that the equation is simply [tex]x=-2[/tex] since a y component is not possible.

Answer:

b what error Winston have made in height

Using a linear function, it is found that:

a. The graph of the function is given at the end of the answer.

b. The equation is: y = -7x + 366.

c. After 30 days, there is $156 in the account.

d. It will take 50.1 days for there to be $15 in the account.

The slope-intercept representation of a linear function is presented as follows:

y = mx + b

The coefficients of the function are described as follows:

In this problem, we are given two points, as follows:

(6, 324) and (11, 289).

Hence the slope is:

m = (289 - 324)/(11 - 6) = -7.

Then:

y = -7x + b.

When x = 6, y = 324, hence the intercept b is calculated as follows:

324 = -7(6) + b

b = 324 + 42

b = 366.

Then the equation is:

y = -7x + 366.

After 30 days, the balance of the account is calculated as follows:

y = -7(30) + 366 = $156.

The number of days it takes for there to be $15 in the account is calculated as follows:

15 = -7x + 366

7x = 351

x = 351/7

x = 50.1 days.

The graph of the function is sketched at the end of the answer, on the domain 0 ≤ x ≤ 52.28, as after that the balance would be negative, would is not possible.

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(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

∴ f(x) = x³ - x² - 17x -15.

f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

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Answer:

1.31

Step-by-step explanation:

The full answer is 1.316667.

Because you asked for 2 decimal spaces, the answer would be 1.31

Hop this helps!

Btw, could I get Brainliest if this is correct? Thanks!

The coordinates of point R on PQ that divides the line segment PR : QR is   1 : 4 is (6, 7).

The given information are :

coordinates of P ( 3, 5)

coordinates of Q ( 18, 15 )

where,

x₁ = 3

x₂ = 18

y₁ = 5

y₂ = 15

The formula to calculate the coordinates of point R is:

Coordinates of R = ( mx₂+nx₁ / m+n , my₂+ny₁ /m+n )

here m= 1, n=4

Coordinates of R = ( [tex]\frac{1*18+4*3}{1+4}[/tex] , [tex]\frac{1*15+4*5}{1+4}[/tex] )

Coordinates of R = ( [tex]\frac{18+12}{5}[/tex] , [tex]\frac{15+20}{5}[/tex] )

Coordinates of R = ( [tex]\frac{30}{5}[/tex] , [tex]\frac{35}{5}[/tex] )

Coordinates of R = ( 6, 7 )

Therefore, the coordinates of point R are (6, 7).

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