A brownie recipe calls for 1/3 cup all-purpose
flour. You have 2 1/3 cup of all-purpose. How
many batches of brownies can you make using
all of the flour you have?

Answer:

Below.

Step-by-step explanation:

Yes - those are 2 semicircles so their combined area = πr^2

= 3^2π

= 9π.

Yes.. You can count it as full circle.

Answer:

3.9 squre inch

Step-by-step explanation:

Two semicircles are inscribed in a square of side 6 in. Both the semicircles if combined together will form a full circle.

Area of the yellow region would be half of the areas of the difference between area of square and area of two semicircles each with radius 3 inches.

Therefore,

Area of yellow region

\( = \frac{1}{2} (area \: of \: square - 2 \times area \: of \: semicircle) \\ \\ = \frac{1}{2} ( {6}^{2} - 2 \times \frac{1}{2} \pi {r}^{2} ) \\ \\ = \frac{1}{2} ( {6}^{2} - 3.14 \times {3}^{2} ) \\ \\ = \frac{1}{2} ( 36 - 3.14 \times 9 ) \\ \\ = \frac{1}{2} ( 36 - 28.26 ) \\ \\ = \frac{1}{2} \times 7.74 \\ \\ = 3.87 \: {in}^{2} \\ \\ = 3.9 \: {in}^{2}\)

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

for such more question on system of equations

https://brainly.com/question/4262258

#SPJ8

Answer: rectangular prism, triangular prism, 6

Step-by-step explanation:

The area of base of the triangular prism can be calculated by the half of the product of the height of the triangular base of prism and base of prism.

The area of base of the rectangular prism can be calculated by the product of the length of the rectangular base of prism and the breadth of prism.

The area of the bottom section of the second floor = 2( area of the front part of the wall + area of the side of the wall)

= 2( 20*h + 25*h)

=90h

The front and back of top section of second floor = 2* area of the front wall=2*(1/2*20*(h+4))=20h+80

Total area of the second floor=total area of the window+total area to be painted

⇒Total area of the second floor= 728 + (2* area of the window)

⇒Total area of the second floor= 728 + (2*3*2)

⇒area of front and back of top section of second floor + The area of the bottom section of second floor = 728+12

⇒area of front and back of top section of second floor + The area of the bottom section of second floor = 740

⇒(20h+80)+90h=740

⇒110h+80=740

⇒110h=740-80

⇒110h=660

⇒h=660/110

⇒h=6 feet

Therefore the value of h is 6 feet.

Learn more about area of triangular Prism

here: https://brainly.com/question/17111476

#SPJ2

Answer:

\(\dfrac{a^6}{144b^8}\)

Step-by-step explanation:

a) They did not use the exponent rule: \((a \cdot b)^n=a^nb^n\) correctly.

They added the exponents rather than multiplied them.

b) Correct solution:

\((12a^{-3}b^4)^{-2}\)

Apply exponent rule:  \(a^{-b}=\dfrac{1}{a^b}\)

\(\implies \dfrac{1}{(12a^{-3}b^4)^2}\)

Apply exponent rule: \((a \cdot b)^n=a^nb^n\)

\(\implies \dfrac{1}{12^2a^{(-3\times2)}b^{(4 \times2)}}\)

\(\implies \dfrac{1}{144a^{-6}b^8}\)

Apply exponent rule:  \(\dfrac{1}{a^{-b}}=a^b\)

\(\implies \dfrac{a^6}{144b^8}\)

Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

Answer:

B) angle side angle triangle congruence

Step-by-step explanation:

In the diagram given, the two angles, <A and <E, and the included side, AE, are congruent to the corresponding two angles, <C and <E, and corresponding included side, CE.

Therefore, based on the ASA Congruence Theorem, we can conclude that both triangles are congruent to each other.

Answer:

36 ÷ 3 = j

Step-by-step explanation:

The quotient of 36 and 3 is '36 ÷ 3'.

'Is j' would be '= j'.

Put it together, and you get:

36 ÷ 3 = j

'j = 12'

\(\frac{36}{3} = j\\\\\text {Divide the two numbers: }36/3 = 12\\\boxed {12=j}\)

Brainiest Appreciated

Answer:

949 inches

Step-by-step explanation:

79(12)+1=949 inches

Answer:

949 inches

Step-by-step explanation:

1 feet=12 inches

79·12=948

948+1=949 inches

79 feet=12 inches

So the airplane is 949 inches tall

HOPE THIS HELPS!

Answer:

please ask question clearly I am not even getting question.

Step-by-step explanation:

a) Starting with

(¬r ∧ p ∧ q) ∨ (¬r ∧ ¬p ∧ q)

distribute the disjunction (∨) :

((¬r ∧ p ∧ q) ∨ ¬r) ∧ ((¬r ∧ p ∧ q) ∨ ¬p) ∧ ((¬r ∧ p ∧ q) ∨ q)

and once more among the grouped statements:

(¬r ∧ p ∧ q) ∨ ¬r ≡ (¬r ∨ ¬r) ∧ (p ∨ ¬r) ∧ (q ∨ ¬r)

(¬r ∧ p ∧ q) ∨ ¬p ≡ (¬r ∨ ¬p) ∧ (p ∨ ¬p) ∧ (q ∨ ¬p)

(¬r ∧ p ∧ q) ∨ ¬p ≡ (¬r ∨ q) ∧ (p ∨ q) ∧ (q ∨ q)

So, the original statement is equivalent to

[(¬r ∨ ¬r) ∧ (p ∨ ¬r) ∧ (q ∨ ¬r)] ∧ [(¬r ∨ ¬p) ∧ (p ∨ ¬p) ∧ (q ∨ ¬p)] ∧ [(¬r ∨ q) ∧ (p ∨ q) ∧ (q ∨ q)]

which reduces to

[¬r ∧ (p ∨ ¬r) ∧ (q ∨ ¬r)] ∧ [(¬r ∨ ¬p) ∧ (q ∨ ¬p)] ∧ [(¬r ∨ q) ∧ (p ∨ q) ∧ q]

and further to

¬r ∧ (p ∨ ¬r) ∧ (¬r ∨ ¬p) ∧ (q ∨ ¬p) ∧ (p ∨ q) ∧ q

For any statements X and Y, we have the identity

• X ≡ (X ∨ Y) ∧ (X ∨ ¬Y)

so another step of simplification reduces the underlined expressions to

¬r ∧ ¬r ∧ q ∧ q

which leaves us with

¬r ∧ q

###

b) Recall the identity,

p ⇒ q ≡ ¬p ∨ q

Then

(p ⇒ q) ⇒ q ≡ (¬p ∨ q) ⇒ q ≡ ¬(¬p ∨ q) ∨ q

Distributing the negation gives

(p ⇒ q) ⇒ q ≡ (p ∧ ¬q) ∨ q

and distributing the disjunction gives

(p ⇒ q) ⇒ q ≡ (p ∨ q) ∧ (¬q ∨ q)

from which it follows that

(p ⇒ q) ⇒ q ≡ p ∨ q

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

Answer:

The coordinates of point Q are \(\mathbf{(4,2\frac{1}{2})}\)

Step-by-step explanation:

The coordinates of point Q can be found looking at the graph

We need to find the value of x-coordinate and y-coordinate by looking at graph.

Check the value of x-coordinate that matches point Q similarly check the value of y-coordinate that matches point Q

Looking at the graph Point Q is at x=4 and y=2.5 or \(2\frac{1}{2}\)

So,  The coordinates of point Q are \(\mathbf{(4,2\frac{1}{2})}\)

(a) The sampling distribution of x. x 35 40 45 52.5 57.5 70 p(x) is  0.2 0 0.5 0 0 0.3.

e(x) = 50.5 oz

E(X) = µ  is an unbiased estimator of the population mean.

(a)  To determine the sampling distribution of X, we can use the following table:

x 35 40 45 52.5 57.5 70

p(x) 0.2 0 0.5 0 0 0.3

The probability of selecting a 45-oz box is 0.5.

Therefore, the probability of selling 45-oz boxes to both purchasers is 0.5 x 0.5 = 0.25.

The expected value of X is:

e(X) = (35 x 0.2) + (40 x 0) + (45 x 0.5) + (52.5 x 0) + (57.5 x 0) + (70 x 0.3)

= 7 + 0 + 22.5 + 0 + 0 + 21

= 50.5 oz

We can compare E(X) to µ, the population mean, which can be calculated as:

µ = (35 x 0.2) + (45 x 0.5) + (70 x 0.3)

= 7 + 22.5 + 21

= 50.5 oz

Therefore, E(X) = µ, which indicates that the sample mean is an unbiased estimator of the population mean.

For similar question on probability

https://brainly.com/question/7965468

#SPJ11

To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

The result suggests that the mean wake time might have really reduced since the values barely fall above 100 min as in before treatment with a high degree of confidence. thus , the drug is effective.

Confidence interval is written in the form as;

(Sample mean - margin of error, sample mean + margin of error)

The sample mean represent x , it is the point estimate for the population mean.

Margin of error = z × s/√n

Where s = sample standard deviation = 21.8

n = number of samples = 17

Now the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

then the degree of freedom, df for the sample.

df = n - 1 = 17 - 1 = 16

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

Therefore the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

the t distribution table, z = 2.921

Margin of error = 2.921 × 21.8/√17

= 15.44

The confidence interval for the mean wake time for a population with drug treatments will be; 90.3 ± 15.44

The upper limit is 90.3 + 15.44 = 105.74 mins

The lower limit is 90.3 - 15.44 = 74.86 mins

Learn more about confidence interval here:

https://brainly.com/question/16148560

#SPJ1

Answer:

160%

Step-by-step explanation:

(65 - 25 )/25  x 100% = 160%

According to the Break apart strategy, the value of 2 + 8 = 10

Break apart strategy:

Break apart strategy of addition means breaking up one addend in an equation into more manageable parts.

Given,

Here we need to find in which strategy would you use to find 2 + 8  for 1st grade.

Here we can break both numbers down to place value and add each, starting with the largest or keep one number intact and only break second number down by place value and adding each place.

By using this strategy we have:

=> 2 + 8 = ?

Now, 2 breaks into 1 plus 1 (1 + 1), 8 breaks into 4 plus 4 (4 + 4),

Then we get,

=> (1 + 1) + (4 + 4)

Now, by using the associative property it can be rewritten as,

=> (1 + 4) + (1 + 4)

=> 5 + 5 = 10

I HAVE ANSWERED THE QUESTION IN GENERAL AS GIVEN QUESTION IS INCOMPLETE.

To know more about Break apart strategy here.

https://brainly.com/question/574348

#SPJ4

C) 2.5 kHz, C) 15, A) 101010, D) CA35, A) (A), A) XOR, B) Exclusive OR, A)True, A) (A + B)C, B) Variable complements can be eliminated by using Karnaugh maps.

K-maps, commonly referred to as Karnaugh maps, are visual tools for simplifying digital circuits and Boolean algebraic formulas. In order to make Boolean functions simpler for use in digital electronics, Maurice Karnaugh first presented them in 1953. K-maps are used to consolidate terms with similar values and get rid of extraneous terms in the truth table of a Boolean function. With a grid of cells corresponding to all conceivable combinations of binary input values, the map is a two-dimensional representation of a truth table. Depending on the truth value of the relevant word in the truth table, the cells in the grid are either filled with 0s or 1s.

The fundamental benefit of employing Karnaugh maps is that they give the Boolean expression a visual representation, making it simpler to spot patterns and understand the expression. They can also be used to check the accuracy of the final expression and find flaws in digital circuits. Karnaugh maps can be used to quickly and effectively simplify complicated digital circuits, which cuts down on the time and effort needed for circuit design.

Karnaugh maps are perfect for designing and optimizing digital circuits because they may be used to simplify big or complex Boolean statements. For more effective and efficient results, they can be combined with other digital design tools, such as logic gates.

To know more about expression visit:

brainly.com/question/29176690

#SPJ4

The value of x in the equation -4x = 76 is 19.

The equals sign is used in equations to indicate the equality of two expressions in a formula.

Given:

-4x = 76,

-x = 76 / 4,

x = -19

Therefore, the value of x in the equation -4x = 76 is 19.

To know more about equation:

https://brainly.com/question/12788590

#SPJ1

Hey there! I'm happy to help!

Let's look at all of the perfect squares (numbers with integer square roots) so that we can see where the square root of 12 lies.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=100

We see that √12 would be in between √9 and √16 (3 and 4), so the square root of 12 is in between 3 and 4.

I hope that this helps! Have a wonderful day! :D

The square root of 12 lies between the whole numbers 3 and 4.

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way.

Let's look at all of the perfect squares (numbers with integer square roots) so that we can see where the square root of 12 lies.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=100

We see that √12 would be in between √9 and √16 (3 and 4), so the square root of 12 is in between 3 and 4.

Therefore, the square root of 12 lies between the whole numbers 3 and 4.

To know more about square roots follow

https://brainly.com/question/428672

#SPJ5

Answer:

2Ab=h

Step-by-step explanation:

A=1/2bh

2A=bh

2Ab=h

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

For such more question on metric units

https://brainly.com/question/30951620

#SPJ8

Answer:

$2.00

Step-by-step explanation:

If Zak is Buying 6 gallons, and he has a coupon for each gallon for $0.55 off, we need to first find how much he saved.

We can do this by calculating $0.55 (or 0.55) multiplied by 6. This answer is 3.30, or $3.30.

Now we add $3.30 to $8.70 to get the normal price for 6 gallons of fruit punch.

3.30 + 8.70 = 12.00, or $12.00

The normal price for 6 gallons of fruit punch is $12.00.

Now, we divide 12 by 6 to get the cost of one single gallon of fruit punch.

12/6 = 2

One gallon of fruit punch costs $2.00

Hope this helps! Have a great rest of your day! :)

Answer:

43

Step-by-step explanation:

I would see a pattern like this

1 4 6 2 5 7 8 9 7 15 41 ?

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

start pattern key

then

15 = 8 × 2 - 1

a10 = a7 × a4 - a1

41 = 9 × 5 - 4

a11 = a8 × a5 - a2

? = 7 × 7 - 6 = 43

a12 = a9 × a6 - a3

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

Learn more about rotation of figures here: https://brainly.com/question/13286537

#SPJ1

Answer:

7/8>3/8>1/4

Step-by-step explanation:

because 7/8=0.875

3/8=0.375

1/4=0.25