What is 1,9746 divided by 145.00928

Answer:

B.  \(Cos ^{-1}\) \(\frac{6.3}{9.8}\)

E.  \(Sin^{-1}\) \(\frac{7.5}{9.8}\)

Step-by-step explanation:

The trigonometric functions are applied when given a side and one of the angles of a right angled triangle.

Sine θ = \(\frac{opposite}{hypotenuse}\)

Cosine θ = \(\frac{adjacent}{hypotenuse}\)

Tangent θ = \(\frac{opposite}{adjacent}\)

Given that; hypotenuse = 9.8, opposite side = 7.5 and adjacent side = 6.3.

Then,

Sin θ = \(\frac{7.5}{9.8}\)

⇒ θ = \(Sin^{-1}\) \(\frac{7.5}{9.8}\)

Also,

Cos θ = \(\frac{6.3}{9.8}\)

⇒ θ = \(Cos ^{-1}\) \(\frac{6.3}{9.8}\)

So, the appropriate answers to the given questions are options B and E.

Answer:

b

Step-by-step explanation:

As per the linear regression analysis, the predicated depression score if the MHPG level was 1100 is 20.41

Linear regression analysis:

In math , linear regression analysis means a regression model that estimates the relationship between one independent variable and one dependent variable using a straight line.

Given,

linear regression analysis calculated a slope of -0.017 and a y intercept of 39.11.

Here we need to predict the depression score if the mhpg level was 1100.

We know the that standard form of the line of equation for straight line is written as,

y = mx + c

where m refers the slope and c refer the y intercept.

Then the line of the equation of this linear regression analysis is written as,

=> y = -0.017x + 39.11

In this equation x refers the MHPG level.

So, the value of x is 1100, then the predicated depression score is calculated as,

=>  y = -0.017(1100) + 39.11

=> y = -18.7 + 39.11

=> y = 20.41

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Critical values of the function f(θ) = 2cos(θ) +(sin(θ))² on the interval 0≤ θ < 2π is 0 and π.

Therefore, the answer is 0 and π.

f(θ) = 2cos(θ) +(sin(θ))²

f'(θ) = -2sin(θ) +2sin(θ)cos(θ)

Critical values of f are points at which f' is zero or not defined.

For all values of θ, we can find that f'(θ) is defined.

f'(θ) = 0

-2sin(θ) +2sin(θ)cos(θ) = 0

cos(θ) - 1 = 0 or sin(θ) = 0

cos(θ) = 1

θ = nπ, n = 0, 1, 2, ...

sin(θ) = 0

θ = nπ, n = 0, 1, 2, ...

Therefore in the interval 0 ≤ θ < 2π, critical values are 0 and π.

2π is not there as it is not included in the interval.

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Answer:

The answer correct the questions is 11x-10

Answer:

Step-by-step explanation:

2 (4 - 3x) + (5x-2)  can be solved in several basic steps.  First, distribute multiplication in 2(4 - 3x), obtaining 8 - 6x and (overall) 8 - 6x + 5x - 2.

Combine like terms:  -x = -10, or x = 10

A distribution of scores on a driver's license test forms is normally shaped. This is an example of a symmetrical distribution is TRUE.

A symmetrical distribution is a distribution where there is an equal number of data points on both sides of the center point, in which the mean, mode, and median of a data set are all similar.

A normal distribution is a bell-shaped distribution that is symmetrical, with most of the data falling near the mean and progressively less toward the tails. When data are symmetrical, the mean and median values are similar, and the standard deviation can be used to compute the proportions of data within a range of values surrounding the mean.

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Therefore, the area of the triangle is 2√5 square units, expressed in simplest radical form.

To find the area of a triangle, we can use Heron's formula, which states that the area (A) of a triangle with side lengths a, b, and c is given by:

A = √(s(s - a)(s - b)(s - c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

Given the side lengths of the triangle as 4, 3, and 3 units, we can calculate the semi-perimeter:

s = (4 + 3 + 3) / 2

= 5

Now, substituting the values into Heron's formula, we have:

A = √(5(5 - 4)(5 - 3)(5 - 3))

= √(5 * 1 * 2 * 2)

= √(20)

= 2√5

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Answer:

The volume of the cylinder is 647.07 cm cubed.

Step-by-step explanation:

Volume of a cylinder = base * height

Base = \(\pi r^2\)

Height = \(6.5 + 6.5 + 6.5 = 19.5 cm\)

We know the diameter of each ball is 6.5 cm, so the diameter of the cylinder is equal to that: 6.5 cm.

The radius is half the diameter, so 6.5 / 2 = 3.25 cm

Now we find the area of the base:

\(\pi r^2 = 3.14 (3.25)^2 = 33.18 cm^2\)

Now we calculate the volume of the cylinder

\(Base * Height = 33.18 * 19.5 = 647.07 cm^3\)

The volume of the cylinder is therefore, 647.07 cm cubed.

Hope this helps :)

Given: $f(x) = a + b$ and $g(x) = f^{-1}(x)$ for all $x$Thus, $g$ is the inverse of the function $f$.We need to find all possible values of $a$ and $b$ such that $f(x) - g(x) = 2022$ for all $x$.

Now, $f(g(x)) = x$ and $g(f(x)) = x$ (as $g$ is the inverse of $f$) Therefore, $f(g(x)) - g(f(x)) = 0$$\ Right arrow f(f^{-1}(x)) - g(x) = 0$$\Right arrow a + b - g(x) = 0$This means $g(x) = a + b$ for all $x$.So, $f(x) - g(x) = f(x) - a - b = 2022$$\Right arrow f(x) = a + b + 2022$Since $f(x) = a + b$, we get $a + b = a + b + 2022$$\Right arrow b = 2022$Therefore, $f(x) = a + 2022$.

Now, $g(x) = f^{-1}(x)$ implies $f(g(x)) = x$$\Right arrow f(f^{-1}(x)) = x$$\Right arrow a + 2022 = x$. Thus, all possible values of $a$ are $a = x - 2022$.Therefore, the possible values of $a$ are all real numbers and $b = 2022$.

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7) The given distribution of data is:

19, 17, 18, 21, 14, 17, 16, 22, 14, 22, 16

This can be rearranged as:

14, 14, 16, 16, 17, 17, 18, 19, 21, 22, 22

The frequency distribution table is drawn below

The dot plot is drawn right after the frequency table

Answer:

SSS could be used for equilateral triangles, AAA is impossible, Cannot be determined is easily not an option.

This leaves ASA and SAS

An isoscoles triangle is a triangle that has two equal sides. SAS is an abreviation that says two triangles have 2 equal sides. Therefore, number 4 SAS is correct

Step-by-step explanation:

The median of the legs of a triangle joins the vertex to the midpoint of the opposite side of the triangle.

The correct postulate is (d) SAS

An isosceles triangle has two congruent sides and angles.

This means that, postulates AAA and SSS are not possible.

This is so, because both postulates imply that the sides and angles of the triangles are congruent.

See attachment for illustration of the median of the isosceles triangles.

From the attachment, we have the following observations.

These mean that:

The triangles are congruent by SAS postulate.

Hence, the correct postulate is (d) SAS

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After the conversion of $500 in japanese yen Ben will have 61,650 yen.

According to the question.

The amount of money in US dollars Ben wishes to convert in Japanese yen is $500.

Also, it is given that

$1 = 123.3yen

Therefore,

The number of yen Ben have after the conversion of dollars in yen

= 500 × 123.3

= 61,650

Hence, after the conversion of $500 in japanese yen Ben will have 61,650 yen.

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The conclusion that can be made on Suki's prediction is that the dice is fair.

The conclusion made on the prediction is that Suki is right and this is a not a fair dice.

The results in b confirm that this is not a fair dice as the probability of getting a number was approximately the same.

There is no benefit to Suki doing more trials as the dice has been proven unfair.

A fair dice is a six-sided object used in games of chance, where each of the six faces has an equal probability of landing face-up. A fair dice is an example of an unbiased random process, where each possible outcome has an equal chance of occurring.

At first the dice was fair because the probability changed. With 500 throws however, the probability was no longer fair because the experimental probability remained the same as when there were 100 throws.

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Answer:

12 cups

Step-by-step explanation

If the size of the bag decreased by 20%, so will the number of cups held.

Number of cups held before the change = 15 cups

If the number of cups held after the 20% reduction in the size of the bag

= (100 - 20)% × 15

=80% × 15

= 12 cups

The new bags will hold 12 cups.

By answering the presented question, we may conclude that As a result, the vertex's x-coordinate is h = 15/2, or 7.5.

In mathematics, the slope-intercept form of a linear equation is an equation of the form y = mx + b, where m is the slope of the line и b is the y-intercept, corresponding to the point on the line where it intersects the y-axis. Since it allows you to easily view the line and identify its slope and y-intercept, the slope-intercept form is a useful way to describe a line's equation. The slope of the line denotes its steepness, while the y-intercept indicates where the line crosses the y-axis.

\(f(x) = a(x-h)2/k\\f(x) = a(x-3) (x-3)\\(x-12)\\f(x) = a(x^2 - 15x + 36)\\f(x) = ax2 -15ax + 36a\\f(3) = a(3-3)(3-12) = 0\\f(12) = a(12-3)(12-12) = 0\\a(0)(-9) = 0\\a(9)(0) = 0\\f(x) = a(x2 - 15x + (225/4a2) - (225/4a2) - (225/4a2)) + 36a\\f(x) = a(x - (15/2a) - (225a/4) + 36a\\\)

Using the quadratic function in standard form, we can read off the vertex coordinates, which are provided by (h,k) = (15/2a, -225a/4 + 36a). Given that the x-intercepts are at (3,0) and (12,0), we may suppose that the quadratic function has the following form:

f(x) = a(x-3)(x-12) (x-12)

When we plug this into the formula for the vertex's x-coordinate, we get:

h = 15/2a

h = 15/2(1) (1)

h = 15/2

As a result, the vertex's x-coordinate is h = 15/2, or 7.5.

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Answer:

C. 1 hundred 9 tens 15 ones

Step-by-step explanation:

Which shows how to regroup 205 to subtract 205-147?

A. 2 hundreds 9 tens 15 ones

B. 1 hundred 10 tens 15 ones

C. 1 hundred 9 tens 15 ones

D. 1 hundred 8 tens 15 ones

To regroup 205, you can write 1 hundred, 9 tens, and 15 ones or option C.

Since 100+90+15=205.

Answer:

28 i think

Step-by-step explanation:

51+47=98

98-12 the ones that flew away that takes it to 86

86/3 the 3 balloons buntch than is 28

p.s. i mght of got some equations wrong but this is what i got

Answer:

Edit: Both are same.

Step-by-step explanation:

Volume is the total space occupied by an object.

Answer:

a. GBC, FCB, DCH

b. FCD+HCD=180

Step-by-step explanation:

A

B

The angles that are congruent to ABE are BCF, DCH, and CBG

Angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:

<FCD + <HCD = 180

An angle is a point where two lines meet or intersect.

The angles that are congruent to ABE are BCF, DCH, and CBG

ABE = BCE (corresponding angle)

Since BCE = DCH (vertically opposite angles), hence:

ABE = DCH (vertically opposite angles)

Also, we can see that DCH = CBG (corresponding angles), hence:

ABE = CBG (corresponding angle)

b) From the given diagram, we can see that angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:

<FCD + <HCD = 180

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The algebraic expression that corresponds to the sentence "I think of a number, subtract 4, then divide by three" is given as follows:

(n - 4)/3.

The sentence for this problem is given as follows:

"I think of a number, subtract 4, then divide by three".

The number is unknown, hence the variable used to represent the number is given by n.

Then the subtraction of the number n by 4 is represented by the expression presented as follows:

n - 4.

The division of the entire expression by 3 means that the parenthesis has to be applied to (n - 4), due to the precedence of operators, hence:

(n - 4)/3.

The problem asks for the algebraic expression that represents the sentence.

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If a rectangle has a perimeter of 48 in. the length and width are scaled by a factor of 2.5, the perimeter of the resulting rectangle is 225 inches.

Here, we have,

Let L be the length of the original rectangle and W be the width.

Then, the perimeter of the original rectangle is P = 2L + 2W = 48 inches.

If we scale the length and width by a factor of 2.5, we get a new length of 2.5L and a new width of 2.5W. The perimeter of the new rectangle would be:

P' = 2(2.5L) + 2(2.5W)

= 5L + 5W

To find the new perimeter, we need to find the new values of L and W. Since the length and width are scaled by the same factor, we can write:

2.5L = kL

2.5W = kW

where k is the scaling factor.

Since the new rectangle is scaled by a factor of 2.5, k = 2.5.

Therefore:

L' = 2.5L = 2.5(12) = 30 inches

W' = 2.5W = 2.5(6) = 15 inches

The new perimeter is:

P' = 5L' + 5W'

= 5(30) + 5(15)

= 225 inches

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Answer:

go on MATH.WAY. it'll give you the answer and explanation. hope it help

Step-by-step explanation:

:)))

The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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Answer:

14^2

Step-by-step explanation:

Answer: 14^2 ,  14+14+14+14+14+14+14+14+14+14+14+14+14+14+

Step-by-step explanation:

Answer:

5261.436 would be the answer

Answer:

-40 bytes

Step-by-step explanation:

Answer:

-40b

Step-by-step explanation

16+24 = 40

they both have a b so you just combine them.

Answer:

=(2x−3y)(2x−3y)(2x−3y)

Step-by-step explanation:

8x  

3

−27y  

3

−36x  

2

y+54xy  

2

=(2x)  

3

−(3y)  

3

−3×(2x)  

2

×3y+3×2x×(3y)  

2

Using,(a−b)  

3

=a  

3

−b  

3

−3a  

2

b+3ab  

2

=(2x−3y)  

3

=(2x−3y)(2x−3y)(2x−3y)

This means that Jasmine can plant any number of lily bulbs (y = 0) and allocate the remaining bulbs to tulips (x = 40 or less) to satisfy the given conditions.

To determine the minimum number of tulip bulbs Jasmine could plant while having more tulips than lilies, we need to consider the given conditions.

Let's assume Jasmine plants x tulip bulbs and y lily bulbs.

Based on the conditions given:

Jasmine is planting a maximum of 40 bulbs in total: x + y ≤ 40

She wants more tulips than lilies: x > y

To find the minimum number of tulip bulbs, we want to minimize the value of x.

Considering the condition x > y, we can start by setting y = 0 (minimum number of lily bulbs) and check the feasibility of the other condition.

If y = 0, then x + 0 ≤ 40, which simplifies to x ≤ 40.

So, the minimum number of tulip bulbs Jasmine could plant is 0, as long as the total number of bulbs (x + y) is less than or equal to 40.

This means that Jasmine can plant any number of lily bulbs (y = 0) and allocate the remaining bulbs to tulips (x = 40 or less) to satisfy the given conditions.

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