Please solve 5-12 all help is really appreciated! I don’t understand anything going on in my geometry class:/

Answer:

One-fourth equals three-twelfths

Step-by-step explanation:

From the above question:

The fractions

One-fourth

: A fraction bar divided into 4 parts. 1 is shaded.

One-half

A fraction bar divided into 2 parts. 1 is shaded

Three-twelfths:

A fraction bar divided into 12 parts. 3 are shaded.

Which is a correct comparison of these fractions?

Comparing the options

a) One-fourth equals three-twelfths

= 1/4 = 3/12

Divide numerator and denominator by 3

= 3 ÷ 3 /12 ÷ 3

= 1/4

Option a is correct

b) One-half is less than three-twelfths

1/2 < 3/12

This statement above is wrong.

One half is greater than three twelfths

1/2 is > 3/12

1/2 > 1/4

c) One-fourth is greater than one-half

1/4> 1/2

This statement above is wrong.

1/2 is greater than 1/4

d) Three-twelfths is greater than one-fourth

This is statement is wrong. Three -twelfths is equal to one - fourths

The correct comparison of these fractions is One-fourth equals three-twelfths.

Answer:

0.556 foot wide or 6 ²/₃ inches wide

Step-by-step explanation:

first we must calculate the total perimeter of the poster that will be decorated with the fabric:

the total perimeter of the poster = 4 + 4 + 5 + 5 = 18 feet long

you have 10 square feet of fabric, so its width should be 10 / 18 = 0.556 foot wide or 6 ²/₃ inches wide

Answer:

Step-by-step explanation:

Rate of increase = r = 25%

n = number of years = 6

P = Current population = 3000

Population after n years = \(P*(1 + \frac{r}{100})^{n}\)

            \(= 3000 * (1 +0.25)^{6}\\\\= 3000 * (1.25)^{6}\\\\= 3000 * 3.8\\\\= 11400=\)

The answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

In this scenario, P(Z ≤ b) represents the cumulative probability of a standard normal distribution up to the value of b. To find the corresponding value of b, we need to find the z-score that corresponds to a cumulative probability of 0.0311.

By looking up the z-table or using a statistical calculator, we can find that the z-score corresponding to a cumulative probability of 0.0311 is approximately -1.865.

Therefore, the answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

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The coordinate matrix of x relative to the orthonormal basis b is then: [x]b = [19, -9, 10]

To get the coordinate matrix of x relative to the orthonormal basis b in Rn, we need to express x as a linear combination of the basis vectors in b. We can do this by using the formula: x = [x · b1]b1 + [x · b2]b2 + [x · b3]b3
where · denotes the dot product and b1, b2, and b3 are the orthonormal basis vectors in b.
First, we need to normalize the basis vectors:
|b1| = √(3^2 + 4^2) = 5
b1 = (3/5, 4/5, 0)
|b2| = √(4^2 + 3^2) = 5
b2 = (-4/5, 3/5, 0)
|b3| = 1
b3 = (0, 0, 1)
Next, we compute the dot products:
x · b1 = (5, 20, 10) · (3/5, 4/5, 0) = 19
x · b2 = (5, 20, 10) · (-4/5, 3/5, 0) = -9
x · b3 = (5, 20, 10) · (0, 0, 1) = 10
Using these values, we can express x as a linear combination of the basis vectors:
x = 19b1 - 9b2 + 10b3
The coordinate matrix of x relative to the orthonormal basis b is then:
[x]b = [19, -9, 10]
Note that this matrix is a column vector since x is a column vector.

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Answer:

1/12

Step-by-step explanation:

-1/3-[-5/12]=?

-1/3-*-5/12=?

-1/3+5/12=

Get the least common multiple:12

-1/3*4/4+5/12*1/1=?

-4/12+5/12=?

1/12

16 (  multiply them divide ect)

Answer:

(3.4/100)*115 = $3.91

Step-by-step explanation:

Divide by 100% and multiply by 115 (100%+15%)

For the given estimated regression equation, the correct interpretation of the Standard Error is, "On average, our predictions of income off by an average of $5.75 from this model."

For the given estimated regression equation, the correct interpretation of the Standard Error is, "On average, our predictions of income off by an average of $5.75 from this model.

Standard Error is a statistical term that measures the variability of the regression line's actual values from the predicted values.

It depicts the degree of dispersion of observed data points around the regression line, indicating the model's accuracy. It is an estimate of the standard deviation of the sampling distribution of the regression coefficients and is usually given as a unit of measurement for the standard deviation of a specific statistic.

Therefore, for the given estimated regression equation, the correct interpretation of the Standard Error is, "On average, our predictions of income off by an average of $5.75 from this model."

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\(12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)\)

Answer:

h = 7.63 ft

Step-by-step explanation:

When a ladder leans against a wall, it forms a right angled triangle. The length of the ladder becomes the hypotenuse of the triangle, while the distance of the bottom of ladder from the wall and the height of top of the ladder from the ground becomes the perpendicular and base, depending upon the selected angle. Using Pythagora's Theorem in this right angled triangle:

Hypotenuse² = Perpendicular² + Base²

where,

Hypotenuse = Length of Ladder = 16 ft

Base = Distance between bottom of ladder and wall = x

Perpendicular = Height of top of of the ladder from ground = x + 6 ft

Therefore,

(16)² = x² + (x + 6)²

256 = x² + x² + 12x + 36

128 = x² + 6x + 18

x² + 6x - 110 = 0

solving the quadratic equation and using positive value:

x = 1.63 ft

So, the height of top of ladder is:

h = 1.63 ft + 6 ft

h = 7.63 ft

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

x = 8 degrees ; y= 12 degrees

Step-by-step explanation:

Okay its 797,619,000,132

They all have different place values

The total amount after 4% interest for 36 months can be determined as,

The monthly payment can be determined as,

Thus, the required monthly payment is $406.20.

Rounded to one decimal place, the average annual rate for Australia's kangaroo population is -23.1%. So, the population of kangaroos has been decreasing at an average annual rate of 23.1% per year.

To determine the average annual rate of change, we need to find the difference in the population between 2001 and 2011 and divide that by the number of years (2001 - 2011 = 10 years).

The difference in population between 2001 and 2011 is: 57,430,030 - 34,303,680 = 23,126,350

To get the average annual rate of change, we divide that difference by the number of years: 23,126,350 ÷ 10 = 2,312,635

To convert the annual rate to a percentage, we multiply by 100: 2,312,635 x 100 = 231,2635%

Rounded to one decimal place, the average annual rate for Australia's kangaroo population is -23.1%.

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is the interest on a deposit that is calculated not only on the initial principal, but also on the accumulated interest from previous periods. In other words, it refers to the interest on a loan or deposit, where the interest is added to the principal, so that interest is also earned on the interest for the next period.

This results in the interest compounding, or growing at an accelerating rate over time, as the interest earned in each period is added to the principal, and the interest is calculated on the new, higher principal amount. Compound interest is different from simple interest which is only calculated on the original principal.

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Answer:

The discriminant is:  

b

2

−

4

a

c

a

=

1

b

=

12

c

=

36

Substitute these values into the discriminant and you should get two answers (real roots):

12

2

−

4

(

1

)

(

36

)

=

0

If the discriminant is 0 there is 1 real root, if it is > 0 there are 2 and otherwise 0 real roots.

Step-by-step explanation:

Im pretty sure this is it, hope I could help

Answer:

1. 46% of 7 grader

Step-by-step explanation:

450-245=205

205/450×100=45.5%

=46%

Answer:

50

Step-by-step explanation:

20/ 100 x 50

then u will get 10 as the answer

The number of days Henry can go on vacation is 7 days.

Given that, Henry knows it will cost $300 per day that he's on vacation plus $650 for miscellaneous activities.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of days be x.

Henry has $2750 dollars in his savings account.

So equation is 300x+650=2750

The obtained equation can be solved as follow

300x=2750-650

⇒ 300x = 2100

⇒ x = 2100/300

⇒ x = 7

Therefore, the number of days Henry can go on vacation is 7 days.

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Answer:

Step-by-step explanation:

Precipitation is any form of liquid or solid water particles that fall from the atmosphere and reach the surface of the Earth.

Hence,

Hence,Arrow 4 indicates precipitation.

1. n = 37

isolate n by dividing both sides by 5

2. y = 83

isolate y by dividing both sides by 3

3. w = -118

isolate w by dividing both sides by -6

On a cost-volume-profit (CVP) graph, the total cost line intersects the vertical axis at the fixed costs amount.

The vertical axis on a CVP graph represents the total cost or total expense incurred in a business. It is typically measured in dollars. The total cost line on the graph represents the relationship between the total cost and the level of activity or volume of output.

At the point where the total cost line intersects the vertical axis, it represents the fixed costs component. Fixed costs are expenses that do not change with the level of production or sales volume. They include costs such as rent, salaries, and insurance, which remain constant regardless of the quantity of units produced or sold.

By identifying the intersection point of the total cost line with the vertical axis, we can determine the fixed costs value, which represents the minimum level of costs incurred by the business, even when there is no production or sales activity.

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This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Answer:

Step-by-step explanation:

A

Answer:

Step-by-step explanation:

Taxable income = $ 91,307

Tax for $ 17,850 = 10% of 17850 = 0.1*17850 = $ 1785

Tax for $17,850 to $72,500 = 15% of (72,500-17850) = 0.15* 54650 = $ 8197.5

Tax  $72,500 to $91,307 = 25% of (91307-72500)=0.25*18807= $ 4701.75

Total tax = 1785 + 8197.5 + 4701.75 = 14684.25

Total tax = $14684

The radius of the ball, to the nearest hundredth, is approximately 10.63 cm.

To find the radius of the spherical ball, we'll use the formula for the surface area of a sphere, which is given by:

Surface Area = 4πr²

Given that the surface area of the ball is 452 cm², we can set up the equation:

452 = 4πr²

Dividing both sides of the equation by 4π, we get:

113 = r²

Taking the square root of both sides, we find:

r ≈ √113

Evaluating √113 to the nearest hundredth, we have:

r ≈ 10.63 cm

Therefore, the radius of the ball, to the nearest hundredth, is approximately 10.63 cm.

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There are 2,115,751 five-letter words that use letters from a, b, c, . . . , z in which the letter a occurs at least once.

To find the number of five-letter words that use letters from a, b, c, . . . , z in which the letter a occurs at least once, we can use the formula for the total number of five-letter words minus the number of five-letter words that don't contain any "a"s.

The total number of five-letter words using letters from a, b, c, . . . , z is 26^5, since there are 26 letters in the alphabet and each of the 5 positions in the word can be filled with any of those 26 letters.

The number of five-letter words that don't contain any "a"s is 25^5, since there are 25 letters other than "a" that can be used in each of the 5 positions.

So the number of five-letter words that use letters from a, b, c, . . . , z in which the letter a occurs at least once is:

26^5 - 25^5 = 11,881,376 - 9,765,625 = 2,115,751

Therefore, there are 2,115,751 five-letter words that use letters from a, b, c, . . . , z in which the letter a occurs at least once.

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Using proportions, it is found that approximately 74% of the whole match was taken up by the fifth set.

In this problem:

Hence:

\(p = \frac{491}{665} \approx 0.74\)

Approximately 74% of the whole match was taken up by the fifth set.

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