Which expression has a sum of a 11/12? pls help. explain step by step in a way a 13 year old will understand.
a. 10/22+2/12
b. 5/4+3/4+3/4
c. 1/12+5/12+5/12
d. 5/6+6/6​

Answer:

1.4 estimated to the nearest tenth

Answer: y3/xz

Step by step is provided in the screenshot below

Answer:

The answer is

Step-by-step explanation:

\( - 12( \frac{5}{6} x - 5) + 2x\)

Using FOIL multiply the terms in the bracket

That's

\( - 12( \frac{5}{6} x) + 12(5) + 2x \\ \rarr \: \: - 10x + 60 + 2x\)

Group like terms

That's

\(60 + 2x - 10x\)

We have the final answer as

Hope this helps you

Answer:

-4

Step-by-step explanation:

Two legs of the triangle are congruent as shown by the tick marks. This means that this is an isosceles triangle; in an isosceles triangle, the two base angles are also congruent. Which means <A and <B are congruent.

So to solve for x, set 28 and 10x+68 equal to each other.

28=10x+68

First, subtract 68 from both sides

-40=10x

Then, divide both sides by 10

-4=x

If you want to check your answer plug -4 back into the original equation.

28=10(-4)+68

28=-40+68

28=28, which is true, therefore -4 is correct.

Answer:

-5, -6, -7, -8, -9, -10, -11

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+9<o

x>-12

The volume of the solid obtained by rotating the region bounded by the curves y = 1/x5, y = 0, x = 1, and x = 8, about y = -2 is 4214.07 cubic units

To find the volume of the solid obtained by rotating the region bounded by the curves y = 1/x5, y = 0, x = 1, and x = 8, about y = -2, we need to use the method of cylindrical shells.

We can integrate the volume of the shells from x = 1 to x = 8. Since the axis of rotation is located at y = -2, we need to add 2 to the formula for the radius, which is x.

To integrate the volume of the shells, we can use the formula:

V = ∫(2πrh)dx

where r = x + 2h = 1/x5

Since the limits of integration are from x = 1 to x = 8, we have:

V = ∫1/x5(2π(x + 2))(dx)

from 1 to 8 = ∫16(2π(x + 2))(dx)

from 1 to 8= 32π∫(x + 2)(dx)

from 1 to 8= 32π[(1/2)(x² + 4x)]

from 1 to 8= 32π[(1/2)(8² + 4(8)) - (1/2)(1² + 4(1))]= 32π[128 + 12 - 2 - 4]= 32π[134]= 4214.07

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The volleyball team would need to purchase 10 shirts for a total of $105 for the cost to be equal.

We are given the dot-plots of sixth-grade test scores and seventh-grade test scores.

Let us first find the median of the two test scores.

Recall that the median is the value that divides the distribution into two equal halves.

Sixth Grade Geograph Test Scores:

From the dot-plot, we see that 11 is the median test score since it divides the distribution into two equal halves.

Median = 11

Seventh Grade Geograph Test Scores:

From the dot-plot we see that 13 is the median test score since it divides the distribution into two equal halves.

Median = 13

Therefore, the median score of the seventh-grade class is 2 points greater than the median score of the sixth-grade class.

Now let us find the interquartile range which is given by

Seventh Grade Geograph Test Scores:

The upper quartile is given by

At the 10th position, we have a test score of 13

The lower quartile is given by

At the 3rd position, we have a test score of 11

So, the interquartile range is

Sixth Grade Geograph Test Scores

The upper quartile is given by

At the 9th position, we have a test score of 10

The lower quartile is given by

At the 3rd position, we have a test score of 8

So, the interquartile range is

So, the IQR is the same as the difference between medians.

Therefore, the median score of the seventh-grade class is 2 points greater than the median score of the sixth-grade class. The difference is the same as the IQR

Hence, the correct answer is option B

The correct response is 3. Havasupai Falls. We travelled from coast to coast, finding new places to visit and selecting the best landmark in each state. We decided on Havasupai Falls for Arizona.

Arizona's most well-known and current official moniker, "The Grand Canyon State," honours the state's most recognizable natural landmark, the Grand Canyon. Arizona is frequently referred to as the "Copper State," which indicates how abundant this mineral is there. More than 7.279 million people live in the stunning state of Arizona, which is situated in the southwest region of the country. Arizona is a great area to live and is frequently regarded as one of the best places in the nation to start a new life. It is known as The Grand Canyon State. Discover Arizona's snow in Flagstaff. Snow does fall in Flagstaff. plenty of snow! In its yearly assessment based on the state's Gross Domestic Product (GDP), population, and job growth, the American Legislative Exchange Council's most recent Rich States, Poor States research gave Arizona the highest ratings in the nation.

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The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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In hypothesis testing, a Type 1 error occurs when we reject a null hypothesis that's actually true. In other words, we conclude that there's a significant effect or difference when there is not one. The probability of making a Type 1 error is denoted by the symbol alpha( α).

A Type 2 error, on the other hand, occurs when we fail to reject a null hypothesis that's actually false. In other words, we conclude that there's no significant effect or difference when there actually is one. The probability of making a Type 2 error is denoted by the symbol beta( β).

In general, Type 1 errors are considered more serious than Type 2 errors because they lead to false positive results and can have negative consequences, similar as making incorrect opinions or wasting coffers. still, the inflexibility of the consequences depends on the specific situation.

The chances of Type 1 and Type 2 errors are related to the significance position( α) and the power( 1- β) of the hypothesis test, independently. The significance position( α) is the probability of making a Type 1 error and is generally set at 0.05 or 0.01. .

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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The exponent tells you how many times you multiply the number before it. So 2^3 is equivalent to 2*2*2. 2^3 is 8, and 3^2 is 9, 8*9 is 72.

Answer:

72

Step-by-step explanation:

simply use calculator if you want to get the answe faster

2^3 x 3^2

= 8 x 9

= 72

9514 1404 393

Answer:

  -25

Step-by-step explanation:

Consult your memory of multiplication tables to determine the square root of 100.

  10×10 = 100

  √100 = 10

Then multiply that value by -2.5

  -2.5×10 = -25

___

Of course, you can use a calculator or spreadsheet to evaluate this expression, too.

The exact replica of Babe Ruth's 34-inch Louisville Slugger is 1,632 inches long.

We are given that the World’s Biggest Bat is made of steel, weighs 68,000 pounds and is an exact scale replica of Babe Ruth’s 34-inch Louisville Slugger.

We are also given that Babe Ruth’s bat is approximately 2.4% the length of the World’s Biggest Bat.

We have to find out the length of this exact replica.

We can use proportions to solve the given problem.

Let the length of the World's Biggest Bat be L.

According to the question, the length of Babe Ruth's bat is approximately 2.4% of the length of the World's Biggest Bat.

Therefore, the length of Babe Ruth's bat will be 0.024L.

We can write this relationship as:L:0.024L = 1:0.024L/L

Let’s simplify this expression by multiplying both sides of the equation by L: L2 = 0.024L

And now, we can get the value of L by dividing both sides of the equation by 0.024L: L2/0.024L = L/0.024 = 68,000Therefore, L = 68,000 x 0.024 = 1,632 inches.

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The equation of a straight line is written as

y = mx + c

Where

m represents slope

c represents y intercept

The given equation is expressed as

3x + y = 3

y = 3 - 3x

y = - 3x + 3

Comparing the above equation with the slope intercept equation,

y intercept = 3

The x intercept is the value of x when y = 0

Putting y = 0 in the equation, it becomes

0 = - 3x + 3

3x = 3

x = 3x/3

x = 1

x intercept = 1

Answer:

t < 7

Step-by-step explanation:

52 > 5t + 17

52 - 17 > 5t

35 > 5t

35/5 > t

t < 7

ok, let's say Omar invested at 7.5% and Madeline invested at 7.25%, and let's assume a year has 365 days, so daily compounding will have 365 periods in a year.

\(~~~~~~ \stackrel{ \textit{\LARGE Omar} }{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$68000\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &8 \end{cases}\)

\(A = 68000\left(1+\frac{0.075}{1}\right)^{1\cdot 8} \implies \boxed{A \approx 121276.49} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \stackrel{ \textit{\LARGE Madeline} }{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$68000\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &8 \end{cases}\)

\(A = 68000\left(1+\frac{0.0725}{365}\right)^{365\cdot 8} \implies \boxed{A \approx 121443.62} \\\\[-0.35em] ~\dotfill\\\\ 121443.62~~ - ~~121276.49 ~~ \approx ~~ \text{\LARGE 167}\)

Answer:

Step-by-step explanation:

         Omar: first find 7 1/2 in decimal form .then multiply the decimal 7.5  by the amount invested 68,000. then multiply amount a year in interest 510 by number of years 8 then you get 4,080.

         Madeline: first find 7 1/4 as decimal .then multiply the decimal 7.25 by the amount invested 68,000. then multiply amount a year in interest

The percent discount is 35%

Ian went shopping for a new pair of sneakers because of a sale.

The price on the tag was $45, but Ian paid $29.25 before tax.

We need to find the percent discount.

The discount amount is:

45 - 29.25 =  15.75

The percent discount would be,

(15.75/45) * 100 = 35%

Therefore, the percent discount is 35%

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Answer: 35%

Step-by-step explanation:

45 - 29.25 =  15.75

The percent discount would be,

(15.75/45) * 100 = 35%

That's why the answer is 35%

Answer:

y = 2x + 4

Step-by-step explanation:

the points (0,-2) and (1,0) lie on the line y=2x-2

if we move these points three units to the left they become:

(-3,-2) and (-2,0) and the slope remains 2

to find the new y-intercept we can take one of the points and plug the x-and-y values into the slope-intercept form of a line, y = mx + b

0 = 2(-2) + b

0 = -4 + b

4 = b

y-intercept is now 4

Step-by-step explanation:

we have to mark the angles in the point denoted in the graph and connect it

The illustration of the dilated triangle has been shown.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
The vertices of a triangle are A(-4, 6), B(6.4), and C(6. - 2).
The scale factor of 1/2.​,

Coordinates of the vertices of the triangle with scale factor,
A' = (-4 × 1/2 , 6 × 1/ 2)
A' = (-2, 3)

Similarly,
B' = (3, 2)
C' = (3, -1)

Thus, the illustration of the dilated triangle has been shown.

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The acceleration of the sled and the normal force acting on it is

a = 1.3 m/s²; FN = 63.1 N.

The force produced when two surfaces collide and slide against one another is known as frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces..

Given that,

8 kg is indicated as the sled[mass. ]'s

The fictional force is given as 2.4 N

A force of 20 N was exerted on the sled at angle of 50⁰.

The force is split into vertical and horizontal components,

\(F_{h} =F_{p}cos\)  And  \(F_{v}=F_{p} sin\)

Here  \(F_{h}\) is the horizontal component and \(F_{v}\)  is the vertical component.

\(F_{h} =20\) × \(cos50\) = 12.85575219 N

Similarly,  \(F_{v} =\) 20 × \(sin50=15.32088886 N\)

Since there is no motion in the vertical direction, the sum of the vertical components is 0.

Hence, \(F_{N}\)+\(F_{P}sin =mg\) where g is the acceleration due to gravity.

\(F_{N}=mg-F_{p}sin50\)⁰

\(F_{N}=8\) × \(9.8-15.32088886\)  [In this case, g is 9.8 m/s²]

= 63.1 N

The acceleration of the sled and the normal force acting on it is

a = 1.3 m/s²; FN = 63.1 N.

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Answer:

360 miles

Step-by-step explanation:

(4 x 80) + 40

Can I have brainlyiest

The inverse of the function f(x) and its domain include the following: D. f⁻¹(x) = (x + 4)²; x ≥ 0.

In Mathematics, an inverse function simply refers to any type of function that is typically generated by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = √x - 4

y = √x - 4

x = √y - 4

√y = x + 4

Taking the square of both sides of this inverse function, we have:

f⁻¹(x) = (x + 4)²

For the domain of this function, we have:

f(x) = √x - 4

When x= 0, we have:

f(0) = √0 - 4

f(0) = 0.

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Answer:

It's an adjective. means regularly occurring, persustent; or, unchanging, in value, nature, or respect.

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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Step-by-step explanation:

Given that,

The area of a blackboard is \(1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2\)

The area of poster is \(\dfrac{8}{9}\ \text{yards}^2\)

We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.

So,

\(\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5\)

So, the rate of \(1.5\ \text{yard}^2\).

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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Answer:

x=5

Step-by-step explanation:

72÷9=8

40÷x=8

40÷5=8