A square has a side length of 7 feet. Find the area of the square in square feet. Enter only the number.

Answer: W(x) = 3.4 L - (25/1000)(L/s)*x

Step-by-step explanation:

The maximum of the jug is 4 L.

now, the jug is 85% filled, then the amount of water in the jug is:

(85%/100%)*4L = 0.85*4L = 3.4L

Now, we pour 25 mL each second, so we could write a linear equation as:

W(x) = 3.4L - (25ml/s)*x

where x is the number of seconds that passed since the beginning,

But we want to write this in Liters, we have that:

1L = 1000mL.

Then 1mL = (1/1000) L

then we can write 25 mL as:

25m L = 25*(1/1000) L = (25/1000) L.

Then we can write the equation as

W(x) = 3.4 L - (25/1000)(L/s)*x

which is the amount of water remaining in the jug after x seconds.

Answer:

P(E)=1/2

Step-by-step explanation:

Total numbers=6

Numbers greater than or equal to 4= 3(4,5,6)

P(E)= favourable outcomes/total outcomes

P(E)=3/6

     =1/2

Answer:

4/6

Step-by-step explanation:

probability of rolling a num greater than or equal to 4 = 4/6

=2/3

Answer:

Proved

Step-by-step explanation:

Given

Integers: a, b, c

Required

Show that c is a multiple of a⁶

First, we need to list out the multiples of a³

[tex]a^3 -> a^3, a^6, a^9, a^{12}...[/tex]

Since b is a multiple of a³, then b can be any of the listed multiples

Next, is to list out the multiples of b²

[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]

Since c is a multiple of b², then c can be any of the listed multiples

To list out the multiples of a⁶, we have to get the common multiples of a³ and b² in terms of a

Substitute a³ for b in

[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]

[tex](a^3)^2 -> (a^3)^2,(a^3)^4,(a^3)^6,(a^3)^8,(a^3)^{10}....[/tex]

[tex]a^6 -> a^6,a^{12},a^{18},a^{24},a^{30}....[/tex]

Recall that c is a multiple of b²

From the above listed multiples, we have a⁶ listed as one of the multiple; Hence, c is a multiple of a⁶

Yes C should be multiple of [tex]a^6[/tex]

Since it is mentioned that b should be the multiple of [tex]a^3[/tex]

So,

[tex]b = a^3R[/tex] here some integer should be R

And, the c should be multiple of [tex]b^2[/tex]

So,

[tex]C = b^2 r[/tex] for some integer r

Now we have to substitute the value of b from the first equation

i.e.

[tex]C = (a^3R)^2r = a^6 (R^2r)[/tex]

Here [tex]R^2r[/tex] is some integer

so,

[tex]C = a^6R'[/tex]

Therefore, we can say that Yes C should be multiple of [tex]a^6[/tex]

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Answer:

531

Start off by subtracting.

Joe = 987 marbles

Donald = 456 marbles.

987 - 456 = 531.

So that is your answer. Hope it helps!

Answer:

agree with previos answer

Step-by-step explanation:

Answer:

$149.96

Step-by-step explanation:

99.99+12.99+36.98=149.96

Total=$149.96

Answer:

k=21

Step-by-step explanation:

Find the slope of MN which is 1/5, (use the slope formula.)

Use the slope formula for AB using k as y_2

Substitute and you get k=21

21-2.25/-2.25-1.5=-5

The lines are perpendicular because the slopes are the negative reciprocal of one another.

For K = 5.3, the line segments are parallel.

We have endpoints of segment MN have coordinates (0, 0), (5, 1) and  endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k).

We have to determine the value of k that makes these segments parallel.

For lines to be parallel - slope of line 1 should be equal to slope of line 2.

m(1) = m(2)

According to question, we have -

Coordinates of M = (0, 0)

Coordinates of N = (5, 1)

Therefore, the slope of line MN = [tex]\frac{1 -0}{5-0}[/tex] = 1/5

Coordinates of A = (11/2, 21/4)

Coordinates of B = (-21/4, k)

Therefore, the slope of line AB =

[tex]$\frac{k -\frac{21}{4} }{\frac{-21}{4} -\frac{11}{2} }[/tex]  =  [tex]$\frac{k - \frac{21}{4} }{\frac{1}{4} }[/tex]  =  [tex]$\frac{\frac{4k - 21}{4} }{\frac{1}{4} }[/tex]  = 4k -21

Now, for the lines to be parallel -

m(MN) = M(AB)

4k - 21 = [tex]\frac{1}{5}[/tex]

5(4k - 21) = 1

20k - 105 = 1

20k = 106

k = 5.3

Hence, for K = 5.3, the line segments are parallel.

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Answer: [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

To find sin(60), you need to know the unit circle. Sin(60) is the same as sin(π/3). On the unit circle, sin(π/3) is √3/2. We know this because the coordinates are (cos, sin). Sin is the y coordinate.

Answer:

[tex]\huge\boxed{\sin60^o=\dfrac{\sqrt3}{2}}[/tex]

Step-by-step explanation:

Let's take a right triangle with acute angles 30° and 60°.

We know that the ratio of the sides of such a triangle is 2 : 1 : √3

(look at the picture)

We know:

[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]

In this triangle we have:

[tex]opposite=a\sqrt3\\hypotenuse=2a[/tex]

Substitute:

[tex]\sin60^o=\dfrac{a\sqrt3}{2a}[/tex]         cancel a

[tex]\sin60^o=\dfrac{\sqrt3}{2}[/tex]

Answer:

[tex] Volume_{Prism} = 165 ft^3 [/tex]

Step-by-step explanation:

Volume of triangular prism is given as base area * height of prism

Base area = area of triangle = ½*base of the traingle*height of the traingle

Base area = 5 ft * 6 ft = 30 ft²

Height of prism = 11 ft

Volume of the prism = [tex] \frac{1}{2}*30*11 [/tex]

[tex] Volume_{Prism} = 15*11 [/tex]

[tex] Volume_{Prism} = 165 ft^3 [/tex]

Answer:

g(x) is the reflection of f(x) over the y-axis.

hope it helps

Answer:

step 1:  g(x) = 1.5(0.5)^-x

step 2: g(0) = 1.5

step 3: plot points on graph

step 4: g(1) = 3    g(-1) = .75

step 5: Plot the points

step 6:  y=0

step 7:  The smooth curve includes these points

Step-by-step explanation:

Just took this on edge 2021

Answer:

[See Below]

Step-by-step explanation:

Here are some pictures to help you.

The quadratic formula is shown below.

The beauty of the quadratic formula is that as long as your quadraticis in the form ax² + bx + c = 0, where a, b, and c are integers, you can go straight to the answer by simply plugging your values for a, b, and c into the quadratic formula.

It's a good idea to memorize it.

Believe me it's worth it, you'll be using it all the time.

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

The value of 'c' is -4 and this can be determined by using the concept of continuous function and arithmetic operations.

Given :

f(x) is continuous on the entire real line when c f(x) = x + 3 for [tex]x \leq -1[/tex], 2x - c for x > -1.

Remember for a continuous function, the left-hand limit is equal to the right-hand limit. So, determine the left-hand and right-hand limit.

The left-hand limit is calculated as:

f(-1) = (-1) + 3

f(-1) = 2    --- (1)

The right-hand limit is calculated as:

f(-1) = 2(-1) - c

f(-1) = -2 - c   --- (2)

Now, equate both the expression (1) and (2).

2 = -2 - c

c = -4

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Answer:

The horizontal line test is used to determine if a functions inverse will be a function. You will compose the functions (that is, plug x into one function, plug that function into the inverse function, and then simplify) and verify that you end up with just "x". Here's what it looks like: Determine algebraically whether f (x) = 3x – 2 and g(x) = (x + 2)/3 are inverses of each other.

Use the horizontal line test to determine if a function is a one-to-one function.

If ANY horizontal line intersects your original function in ONLY ONE location, your function will be a one-to-one function and its inverse will also be a function.

hope this helps

The horizontal line test is used to determine if a function's inverse will be a function is true. Correct option is 4.

1. This statement is not true. For a pair of functions to be inverses, their compositions (f(g(x)) and g(f(x))) must result in the identity function (1) for all values of x, not just for a specific value.

2. This statement is not true. In an inverse relation, the coordinates of the ordered pairs are swapped (x becomes y and y becomes x), not multiplied by 2.

3. This statement is not true. While many functions have inverses that are also functions, it is not a universal rule. Some functions may not have an inverse that is a function.

4. This statement is true. The horizontal line test is used to determine if a function has an inverse that is also a function. If a horizontal line intersects the graph of the function at more than one point, then the function does not have an inverse that is a function. However, if every horizontal line intersects the graph at most once, then the function does have an inverse that is a function.

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Number of raisins in the bag is 160 raisins

Given that;

Ratio of peanuts to raisins = 5:4

Bag of the snack mix contains = 200 peanuts

Find:

Number of raisins in the bag

Computation:

Number of raisins in the bag = 4[200/5]

Number of raisins in the bag = 4[40]

Number of raisins in the bag = 160 raisins

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Answer:

16

Step-by-step explanation:

Take the total number of sandwiches and multiply the fraction that were ham

56 * 2/7

56/7 *2

8 *2

16

16 sandwiches were ham

Answer:

Step-by-step explanation:

-10x < 40

x > -4

Step-by-step explanation:

10 is less than 10.01

10.01-10=0.01

10 is 0.01 less than 10.01

So, 10 is less than 10.01.

Hope it helps you!!

Answer:

18 paperclips are in the pile!

Step-by-step explanation:

We know that a dozen paperclips are equal to 9.6g, so we are going to divide 9.6 by 12 to figure out how much each paperclip weighs (0.8g). So we then divide 14.4 by 0.8 to figure out how many paperclips are in the pile! Hope this helps!

Answer:

9

Step-by-step explanation:

18÷2=9

So, Ann could have 9 rows of posters with 2 posters in each row.

( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 )

Simplify the expression.

53 n

Answer:

The simplified solution to this expression is 5n⁴ + 11n³

Step-by-step explanation:

(5n³ + n⁴ - 5) - (-5 - 6n³ - 4n⁴)

Distribute the negative sign to (-5 - 6n³ - 4n⁴)

5n³ + n⁴ - 5 + 5 + 6n³ + 4n⁴

Group like terms.

(4n⁴ + n⁴) + (6n³ + 5n³) + (-5 + 5)

Combine like terms.

5n⁴ + 11n³

Answer: (1.5, 1.5)

Step-by-step explanation:

idk

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{-x+4}[/tex]

Step-by-step explanation:

[tex]-(x+2)+6[/tex]

Distributing the negative sign to the terms in the bracket.

[tex]-x-2+6[/tex]

Combining like terms.

[tex]-x+4[/tex]

Answer:

B. Short-term memory

Step-by-step explanation:

Response variable is a dependent variable. It is dependent on the explanatory variable that is referred to as the independent variable.

In research study, the response variable is what is usually measured by the researcher. In the case given above, short-term memory is the response variable, which is dependent on exercise.

Don't shade the part A and the part between A and B. Shade the B part only.

Answer:

the calculated value of R would be incorrect and it would be greater than the actual value

Step-by-step explanation:

From the general gas equation,

We have a mole of gas as

PV =nRT

We will have to make R the subject of the formula

So we divide through by nT

R = PV/nT

So we have an inverse proportion between R and absolute temperature.

So when we record a lower temperature than what the actual temperature should be, R is going to be affected such that the wrongly calculated value of R would be more than the actual value.

Answer:

105 units

Step-by-step explanation:

Height of rectangle = 35 units

Since, base of o rectangle is triple the height.

Therefore, base of rectangle = 3*35 = 105 units

Another way:

h = 35 (given)

b = 3h

b = 3*35 (Plug h = 35)

b = 105 units

His score would have to be -5:

-3 + 3 = 0

0 + 1 = 1

1 + 4 = 5

5 + (-5) = 0

So you know that the su of all the scores is 0.

The scores in the table are cecilia -3, janine 3, sami 1 and ted 4 and travis x, where x is the number that we want to know.

if we sum those, we have : 3 - 3 + 4 + 1 + x = 0

and we get 5 + x = 0

then x= -5, so travis's score is -5 points.

Answer:

B) C=3.14(2r)

Step-by-step explanation:

Circumference of a circle= 2πr

radius=6 feet

Diameter= 2r

=2*6

=12 feet

π= 3.14

C= 2πr

= 2 * 3.14 * r

= 3.14 * 2 * r

C= 3.14 (2r)

Kierran should use the formula C= 3.14 (2r) to find the circumstance of the circle

Option B is the correct answer

C= 3.14 (2r)

= 3.14 * 2 * 6

= 37.68 eet

Answer:

-9

Step-by-step explanation:

Going down= negative

Answer:

u write negative 9

Step-by-step explanation: