Graph the image of Triangle KLM after a dilation with a scale factor of 4, centered at the origin.

The boolean expression for the circuit is (not A and B) NAND C

From the question, we have the boolean circuit such that the input variables are

A, B and C

On A, we have a NOT operator

So, we have

not A

The operator between NOT A and B is the AND operator

So, we have

not A and B

The operator between NOT A and B and C is the NAND operator

So, we have

(not A and B) NAND C

In (a), we have

(not A and B) NAND C

So, the truth table is

A  B  C  (not A and B)  (not A and B) NAND C

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

0  0  0         0                 1

0  0  1           1                 0

0  1  0           0                 1

0  1  1            1                 0

1  0  0           0                 1

1  0  1            0                 1

1  1  0            0                 1

1  1  1             0                 1

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Answer:

3/2 and 1

Step-by-step explanation:

Took the quiz!

Hope this helps!

Answer:

the top empty box is 5 the second down box is 4 the box under 6 is 8

Step-by-step explanation:

Answer: YES

Step-by-step explanation: both equal 5 when divided.

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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Answer:

Step-by-step explanation:

First term is:

Common ratio is:

Recursive formula:

Answer:

$8,062

Step-by-step explanation:

you open the bank account with $5,800. since the interest is calculated by quarter which is 3 months, you take the interest on the $5,800 and multiply the interest rate times 3. so it would be, $5,800 + $754 + 754 + 754 = 8,062. the $754 amount is calculated by multiplying 5,800 dollars * 13% or .13

Answer:

\(2y\sqrt{2x}\)

Step-by-step explanation:

For this we have to divide like normally but for the exponents we will subtract them since this is a division problem. We would've added them if we were multiplying.

\(\frac{\sqrt{32x^5y^8}}{\sqrt{4x^4y^6}}=\sqrt{8xy^2}\)

Now we will split the 8 into 4 and 2. Also we can take the square root of y² while we're at it.

\(y\sqrt{4}\sqrt{2x}\)

Now we take the square root of 4.

\(2y\sqrt{2x}\)

The equivalent expression are;

\((\sqrt[7]{x} )^4\)

\((x^4)^1^/^7\)

Option A and B

Index forms are simply described as mathematical forms that are used in the representation of numbers or variables that are too large or too small in more convenient forms.

These index forms are also known as standard forms or scientific notation.

Some rules of index forms are;

From the information given, we have that;

(x)4/7

Find the seventh root of the variable

\((\sqrt[7]{x} )^4\)

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Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

Your answer is B. y=4x, the photo I added shows my steps.

Answer:

y= 4x

Step-by-step explanation:

Answer:

$828.53

Step-by-step explanation:

The formula is: A = P(1 + r/k)^(kt)

A = 750(1 + 0.02/12)^(12*5)

A = 750(1 + 0.00166667)^60

A = 750(1.00166667)^60

A = 750(1.104713)

A = $828.53 (rounded to the nearest cent)

So, the accumulated amount after 5 years with a 2% interest rate compounded monthly is $828.53.

Given

The concentration C(t) of a certain drug in the bloodstream after t minutes is given by,

To find the concentration after 11 minutes.

Explanation:

It is given that,

Then, for t=11,

Hence, the concentration after 11 minutes is 0.045.

Answer:

60/4

Step-by-step explanation:

Hope this helps.

Answer:

No 5 3/8 is a rational number

Step-by-step explanation:

3 divided by 8 is .375 which is an ending number hence rational

Answer: The answer is a reflection transformation took place

Step-by-step explanation:

Answer:

Translation

Step-by-step explanation:

All of the points on the graph moved equally, which is a translation.

Answer:

u = 12;

v = 6

Step-by-step explanation:

Use trigonometry:

\( \tan(60°) = \frac{6 \sqrt{3} }{v} \)

Use the property of proportion to find v:

\(v = \frac{6 \sqrt{3} }{ \tan(60°) } = \frac{6 \sqrt{3} }{ \sqrt{3} } = 6\)

Use the Pythagorean theorem to find u:

\( {u}^{2} = {v}^{2} + ( {6 \sqrt{3}) }^{2} \)

\( {u}^{2} = {6}^{2} + ( {6 \sqrt{3}) }^{2} = 36 + 36 \times 3 = 36 + 108 = 144\)

\(u > 0\)

\(u = \sqrt{144} = 12\)

Answer:

980

Step-by-step explanation:

49×17+49×3=

Factor the Expression

49(17+3)

Add the numbers

49x20

Multiply the numbers and you should end up with 980

Answer:

4/p -2

Step-by-step explanation:

4/p - 2 isn't an eqaution, bc it doesn't have an equal sign.

This would be called an expression.

Answer:

4/p -2 is the answer.

The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.

We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.

The total distance that the student travelled can be obtained from;

5000 m + 5000 m + 5000 m

= 15000 m

The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds

= 5220 second

Speed = Distance/ Time

= 15000 m/5220 second

= 2.87 m/s

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The amount of water left in the tub after 5 minutes is; 24 gallons

The given recursive formula is expressed as;

aₙ = aₙ ₋ ₁ - 12

We are told that a₀ represents the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled.

Thus, when n = 1, we have;

a₁ = a₁ ₋ ₁ - 12

a₁ = a₀ - 12

a₁ = 84 - 12

a₁ = 72

Then;

a₂ = a₁ - 12

a₂ = 72 - 12

a₂ = 60

It will seem that it follows a sequence pattern of;

aₙ = 84 - 12n

Thus;

a₅ = 84 - 12(5)

a₅ = 24 gallons

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Hey there!

A function is like a machine. You put numbers in it and it gives you one number. You can end up with the same output, but you cannot put in the same number multiple times and get different results. It gives you the same number if you do the same one. Functions cannot have multiple outputs for the same input.

We see here that this relation is not a function. So, we can repeat 2, 8, or 3 to get the corresponding y-value and also 0. For example, a could be 2 and it has 2 outputs which would be -5 and 0. This makes it not a function, so our possible values will be 2, 8, and 3.

Have a wonderful day and keep on learning! :D

Answer:

(A) There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B) Saturday has the highest percentage of traffic accidents.

Step-by-step explanation:

(A)

The Chi-square goodness of fit test would be used to determine if the proportion of traffic accidents is the same for each day of the week.

The hypothesis for the test can be defined as follows:

H₀: The proportion of traffic accidents is the same for each day of the week.

Hₐ: The proportion of traffic accidents is not same for each day of the week.

Assume that the significance level of the test is, α = 0.05.

The Chi-square test statistic is given by:

\(\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}\)

Compute the values in Excel.

The expected frequency for all the days is 60.

The Chi-square test statistic value is, 14.333.

Compute the p-value using the Excel function "=CHISQ.DIST.RT(14.33,6)".

p-value = 0.0262

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value is less than 0.05.

The null hypothesis will be rejected.

Conclusion:

There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B)

Compute the percentage of traffic accidents occurring on each day of the week as follows:

\(\text{Sunday}=\frac{66}{420}\times 100\approx 16\%\\\\\text{Monday}=\frac{50}{420}\times 100\approx 12\%\\\\\text{Tuesday}=\frac{53}{420}\times 100\approx 13\%\\\\\text{Wednesday}=\frac{47}{420}\times 100\approx 11\%\\\\\text{Thursday}=\frac{55}{420}\times 100\approx 13\%\\\\\text{Friday}=\frac{69}{420}\times 100\approx 16\%\\\\\text{Saturday}=\frac{80}{420}\times 100\approx 19\%\)

Saturday has the highest percentage of traffic accidents.

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.

Specifically, the identity states that 2 cos A sin B can be written as

sin(A + B) + sin(A - B).

Applying this identity, we have:

2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)

Simplifying the expressions inside the sine functions:

sin(102) + sin(-32)

Since the sine function is an odd function,

sin(-x) = -sin(x),

so we can rewrite the equation as:

sin(102) - sin(32)

Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

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