Henry is following the recipe to make a cake. He has 95 cups of flour. How many cakes can Henry make

Answer:

45

Step-by-step explanation:

The equation for area of a triangle is:

\(A=\frac{1}{2}*b*h\)

Using the figure, we can determine the base is 15 since it is perpendicular to the height.

We can plug 6 (height) and 15 (base) into the equation to solve for the area...

\(A=\frac{1}{2}*6*15=\frac{1}{2}*90=\frac{80}{2}=45\)

Answer:

camera D : 0.00087 ∠camera B : 0.00098∠camera C : 0.0011∠camera A : 0.0012

Step-by-step explanation:

if you rewrite in standard notation

camera A : 0.0012

camera B : 0.00098

camera C : 0.0011

camera D : 0.00087

The researcher should have chosen option D: Switch the order of study methods for the participants before the test.

People frequently choose familiar options over novel ones, even when the latter may be superior, a phenomenon known as the familiarity bias.

To avoid the problem of students getting through the exam faster the second time due to familiarity, the researcher should have chosen option D: Switch the order of study methods for the participants before the test.

By switching the order of study methods, the researcher can control for the potential bias caused by familiarity or memory effects. This ensures that the effect observed is truly due to the difference in study methods rather than the order in which they were encountered.

If the same group of students always starts with the lecture summaries and then moves on to watching and listening to lecture summaries, they may perform better on the second test simply because they are more familiar with the material, test format, or timing. Switching the order of study methods helps eliminate this potential bias and provides a fair comparison between the two methods.

Options A, B, and C are not relevant to addressing the issue of familiarity bias in this scenario.

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True, -8 is a term. Have a great day.

The area of the minor sector DFE is gotten as; D: 66.1 square cm

Formula for area of sector is;

A = (θ/360) * πr²

We are given;

minor angle; θ = 100°

radius; r = 8.7 cm

Thus;

A =  (100/360) * π(8.7²)

A = 66.1 square cm

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Answer:

-3

Step-by-step explanation:

......................

Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest

Step-by-step explanation:

Answer:

350 adult tickets were sold.

Step-by-step explanation:

let x = number of adult tickets

number of student tickets -> x-71

x - 71 + x = 629

2x - 71 = 629

2x = 700

x = 350

Answer:

Simplification of algebric expression is \(\frac{x^{2} - 2x^{3}-4 }{x^{2} }\)

Step-by-step explanation:

Simplify any algebric expression means to write an equivalent expression in which all similar terms combined and remove all symbols such as brackets.

The given algebraic equation is \(x^{2} -\frac{4}{x^{2} } +2x\)

now for simplifying it

First of all take L.C.M of \(x^{2}\)

= \(\frac{x^{2} (x^{2}) -4 + 2x(x^{2} )}{x^{2} }\)

We get \(\frac{x^{2} -4+2x^{3}}{x^{2} }\)

Further we can write it as  \(\frac{x^{2} - 2x^{3}-4 }{x^{2} }\)

Simplification of algebric expression is \(\frac{x^{2} - 2x^{3}-4 }{x^{2} }\)

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Answer:

To find the value of a4, we need to use the recursive formula for the sequence. The formula gives us the nth term in the sequence in terms of the (n-1)th term.

We are given that a1 = -7, so we can use the recursive formula to find a2, a3, and a4:

a2 = a1 - 4 = -7 - 4 = -11

a3 = a2 - 4 = -11 - 4 = -15

a4 = a3 - 4 = -15 - 4 = -19

Therefore, the value of a4 is -19.

1 / (1 - sin^5 x) = [infinity]∑n=0 [sin^5 x]^n * [cos^2 x * (2 - cos^2 x)]^(-1)
the integral ∫1 to [infinity] e^−5x dx converges to a finite value, the series [infinity]∑n=1 e^−5n also converges.

1. To express the function 1 / (1−sin^5 x) as a series using the geometric series formula, we need to first identify the value of y. In this case, y is sin^5 x. Therefore, we have:

1 / (1−sin^5 x) = 1 / [1 - (sin x)^5]
= 1 / [1 - (sin x)^2 * (sin x)^3]
= 1 / [cos^2 x * (1 - sin^2 x) * (1 + sin^2 x + (sin^2 x)^2)]
= 1 / [cos^2 x * cos^2 x * (1 + sin^2 x + (sin^2 x)^2)]
= 1 / [cos^4 x * (1 + sin^2 x + (sin^4 x)/(sin^2 x))]
= 1 / [cos^4 x * (1 + sin^2 x + sin^2 x * (1 - cos^2 x)/(sin^2 x))]
= 1 / [cos^4 x * (1 + sin^2 x + (1 - cos^2 x)/sin^2 x)]
= 1 / [cos^4 x * (2 - cos^2 x)/sin^2 x]
= sin^2 x / [cos^2 x * (2 - cos^2 x)]

Now, we can substitute y = (sin x)^5 into the geometric series formula:

1 / (1 - y) = [infinity]∑n=0 y^n

to get:

1 / (1 - sin^5 x) = sin^2 x / [cos^2 x * (2 - cos^2 x)]
= [infinity]∑n=0 [sin^5 x]^n * [cos^2 x * (2 - cos^2 x)]^(-1)

Therefore,

1 / (1 - sin^5 x) = [infinity]∑n=0 [sin^5 x]^n * [cos^2 x * (2 - cos^2 x)]^(-1)

2. To find the value of ∫1 to [infinity] e^−5x dx using the integral test, we need to first verify that the function f(x) = e^−5x is positive, continuous, and decreasing for x ≥ 1. Since f(x) is a continuous, positive, and decreasing function, we can apply the integral test to determine the convergence of the series.

The integral test states that if a series [infinity]∑n=1 a_n converges and a_n is a positive, decreasing function of n, then the corresponding improper integral ∫1 to [infinity] a(x) dx also converges. Similarly, if the improper integral diverges, then the series also diverges.

In this case, we have:

a_n = e^(-5n)

a_n is a decreasing function of n, since e^(-5n) is a decreasing exponential function.

Therefore, we want to find the value of the improper integral:

∫1 to [infinity] e^−5x dx

Using the substitution u = -5x, du = -5dx, and limits of integration u(1) = -5 and u([infinity]) = -∞, we can rewrite the integral as follows:

∫1 to [infinity] e^−5x dx = ∫-5 to -∞ (1/-5) * e^u du
= (1/-5) * [e^u]_-5^-∞
= (1/-5) * [e^(-∞) - e^(-5)]
= (1/-5) * [0 - 1/e^5]
= 1/(5e^5)

Since the integral ∫1 to [infinity] e^−5x dx converges to a finite value, the series [infinity]∑n=1 e^−5n also converges.
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It took Frank 13 hours to get 39.15 miles.

39.15 ÷ 13 = 3.011 = 3 miles an hour

3 x 1.8 = 5.4 miles an hour

Frank = 3 miles an hour

Paul = 5.4 miles an hour

Hope this helped you!

The speed of each biker will be 1.776 miles per hour and 3.576 miles per hour.

We know that the average speed formula is given as,

Average speed = Total distance / Total time

Paul and Frank are on the same bike path 39.15 miles apart. They are going to ride their bikes toward each other until they meet. Frank starts pedaling 13 hours before Paul.

Let the speed of Frank be 'x'. Paul rides 1.8 miles per hour faster than Frank. Then the speed of Paul is (x + 1.8). Therefore, the equation is given as,

16x + 3(x + 1.8) = 39.15

19x + 5.4 = 39.15

19x = 33.75

x = 1.776 miles per hour

And the speed of other bikers is calculated as,

x + 1.8 = 1.776 + 1.8

x + 1.8 = 3.576 miles per hour

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84 ms × 32.533 s = The multiplication of 84 ms and 32.533 s is given. Therefore, we can use the following formula to calculate the product:Product = (84 ms) × (32.533 s)The given numbers have three and four significant figures respectively.

Therefore, we need to perform the multiplication, and then round the result to three significant figures.We start by multiplying 84 by 32.533:84 ms × 32.533 s = 2728.572 ms²We can now round 2728.572 to three significant figures, which is 2730. This gives us the final result:Product = 2730 ms². Answer: 2730 ms².

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No, this solution is not valid because of wrong concept and wrong calculations as he solved  \(\frac{10^{-7} }{10^{-2} }\)  as \(10^{-7 + (-2)}\)  but it should be solved as \(10^{-7-(-2)}\) .

These exponents can be split since they all share the same base, x. You divide them by the highest exponent in the numerator (the numerator) and the lowest exponent in the denominator (the bottom exponent).

So according to it,

As they have same the base i.e. 10, we will subtract their power which would be like  \(10^{-7-(-2)}\)  = \(10^{-5}\) not the \(10^{-9}\).

Hence, the solution is not valid due to the wrong concept and wrong calculations.

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Answer:

O C. 5.76 in2

Step-by-step explanation:

To find the area of a square, the formula is

length x width = area

length = 2.4

width = 2.4

2.4in x 2.4in = 5.76 in2

in2 is the part of the answer since  in x in = in2

Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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1 chinese yuan can purchase 0.82 and 0.66 U.S. dollars in 2010 and 2012 respectively.

To determine how many U.S. dollars could be purchased with 1 Chinese yuan in 2010 and 2012, we can calculate the reciprocal of the exchange rates.

In 2010, $1.00 U.S. bought 1.22 Chinese yuan. Taking the reciprocal of the exchange rate, we get:

1 / 1.22 ≈ 0.82 U.S. dollars

Therefore, in 2010, 1 Chinese yuan could purchase approximately 0.82 U.S. dollars.

In 2012, $1.00 U.S. bought 1.51 Chinese yuan. Again, taking the reciprocal of the exchange rate, we find:

1 / 1.51 ≈ 0.66 U.S. dollars

So, in 2012, 1 Chinese yuan could purchase approximately 0.66 U.S. dollars.

It's worth noting that exchange rates fluctuate and can vary throughout the day due to various factors such as economic conditions, market forces, and government policies. The values calculated above are based on the given exchange rates for 2010 and 2012 and may not reflect the current or future exchange rates between the U.S. dollar and Chinese yuan.

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Since the sprinkler jet is a sector, the angle of the sector is Ф ≅ 69.83°

The angle of a sector is the angle subtended by the sector.

Since the sprinkler jet sprays in a sector in a sector of radius four feet and has an area of 9.5 square feet, to find its angle, we use the formula for the area of a sector.

The area of a sector, A is given by

A = Ф/360° × πr² where

Making Ф subject of the formula, we have that

Ф = 360°A/πr²

Since we are given that

Substituting the values of the variables into the equation, we have that

Ф = 360°A/πr²

Ф = 360° × 9.75 ft²/π(4 ft)²

Ф = 360° × 9.75 ft²/π(16 ft²)

Ф = 3510° ft²/π(16 ft²)

Ф = 219.375° /π

Ф = 69.829°

Ф ≅ 69.83°

So, the angle is Ф ≅ 69.83°

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The number line which represents the solution bro the inequality y -2 < -5 is;

An open circle is at negative 3. Everything to the left of the circle is shaded.

First, we must solve the inequality so that it looks it's simplest form in order to be represented on a number line.

Solving the inequality is as follows;

y - 2 < -5

y < -5 +2

y < -3.

In essence, representation of the inequality, y < -3 on the number line is as follows;

An open circle is at negative 3. Everything to the left of the circle is shaded.

PS: It is only a closed circle if the inequality includes an equal to sign.

Answer:

5) y= 1/2x-4 (I'm not sure about this one)

6) y= -3x+0 or y= -3x

Answer:

Option c - 67.5

Step-by-step explanation:

Base= 15

Height = 9

Area= 1/2 x b h = 1/2 x 9 x 15 = 67.5 feet

Answer:

2x^2+85x+13

Step-by-step explanation:

I did not knew what you wanted, but I think this is what you wanted.

Answer:

Gross pay per week = $234

Federal income tax = $421.2

Social security = $174.96

Medicare =$40.71

net pay per week = $181

Total gross pay = $2,808

Total net pay = $2172

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate Angela gross income per week:

18 hours per week x $13 per hour = $234 per week (gross)

234 x 12 =2,808

Amount taken ; multiply weekly gross pay by each percentage discount in decimal form (divided by 100)

Federal income tax = 234 x (15/100) = $35.1  (in 12 weeks = 35.1 x 12 = $421.2)

Social security = 234 x (6.2/100)= $14.508 (in 12 weeks = 14.5 x 12 = $174.96)

Medicare = 234 x (1.45/100)=$3.393  (in 12 weeks = 3.39x 12 = $40.71)

Total amount taken (per week)= 35.1+14.508+3.393=$53.001

Net pay per week = 234-53 = $181

For the total gross pay we have to multiply the weekly gross pay by the number of weeks (12)

Total gross pay = 234 x 12 =$2,808

Total net pay = 181 x 12 = 181 per week x 12 = $2172

Answer:

What grade math is this??

Step-by-step explanation:

Answer:92.1

Step-by-step explanation:

A=78+4.5

A=92.137166941154

A=92.1

Answer:

4.50

Step-by-step explanation:

2.25x2=4.50

hello

Answer:

15.53 sq inches, 15.71 inches

Step-by-step explanation:

(3 * 4) + (1.5^2 * pi)/2 = 12 + 3.53 = 15.53 sq inches

3 + 4 + 4 + (2pi * 1.5)/2 = 15.71 inches

Answer:

approx. 33 large buttons

Step-by-step explanation:

30% of 100= 33.3, round down because the number in the tenth place is less than 5.

Answer:

D.

πr2(2h)pi r squared left parenthesis 2 h right parenthesis

Step-by-step explanation:

Step-by-step explanation:

Let l be the length of the room, and w be the width.

If the length is 6 feet longer than twice the width, then we can say l = 2w+6

Knowing that the formula for the perimeter of a rectangle is P = 2l+2w, and knowing that P=144 ft, we can say that 2L + 2w= 144 ft.

To find the dimensions, we plug our value for l into our perimeter equation

This gives us the following equation: 144= 2(2w+6) + 2w, which simplifies to 144=4w+12+2w, which further simplifies to 144= 6w+12

To get w on one side of the equation, we subtract 12 from each side, which gives us 132=6w

Dividing each side by 6, we determine that w= 22 ft.

Plugging this value back into our first equation we see that l= 2(22)+6

So l= 50 ft.

So, the dimensions of the room are as follows: length is 50 ft., width is 22 ft.

Answer:

L = w + 6

Step-by-step explanation:

We need to write an expression for the length.

We know that the length is 6ft longer than the width.

Make your expression:

We will represent length as "L" and width as "w".

L = w + 6

This would be our expression since we know that no matter what, the length will be 6ft more than the width, therefore you would add 6 to the width to get your length.