Question 5 of 9
(10 2) 310 (2.3)
A. True
B. False

Answer:

4

Step-by-step explanation:

60 minutes can be broken down into 4 quarters of time - 15 minutes

Step-by-step explanation:

An quarter of an hour is 15 mins. 60÷15 =4 so there are 4 quarters in an hour.

Answer:

Step-by-step explanation:

Answer:60m^2

Step-by-step explanation:you have to find the height of the triangle first which is easy bc it’s been split in half so the are now two right triangles. use the pythagorean theorem to determine the height, the height is 12, the formula for the area of a triangle is 1/2bxa and half of the base is already given to you, 5 so 5 x 12 equals 60

The value of the voltage of the electricity is 6 + j + 2j²

From the question, we have the following parameters that can be used in our computation:

C = 2 - j

I = 3 + 2j

The formula of voltage is given as

V = CI

Substitute the known values in the above equation, so, we have the following representation

V = (2 - j) * (3 + 2j)

Open the brackets

So, we have

V = 6 + 4j - 3j + 2j²

Evaluate the like terms

V = 6 + j + 2j²

Hence, the voltage is 6 + j + 2j²

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Answer:

9.09494702E+27

Step-by-step explanation:

(5^8)^5=5^8×5

(5^8)^5=5^40

(5^8)^5=9.09494702E+27

22 % probability of selecting 2 oranges from the fruits..

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of choosing 2 oranges will be calculated as:-

Initially, there are 8+11+5+12 = 36 fruits, of which 12 are oranges.

The total number of the fruits is 36 and we have to choose 2 oranges

Then

\(P=\dfrac{8}{36}=0.22=22\%\)

Therefore there is a 22 % probability of selecting 2 oranges from the fruits..

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\(0.6=\dfrac{6}{10}=\dfrac{3}{5}\\\\x=0.\overline{7}\\10x=7.\overline{7}\\10x-x=7.\overline{7}-0.\overline{7}\\9x=7\\x=\dfrac{7}{9}\\\\x=0.4\overline{7}\\10x=4.\overline{7}\\100x=47.\overline{7}\\100x-10x=47.\overline{7}-4.\overline{7}\\90x=43\\x=\dfrac{43}{90}\)

Therefore

\(0.6+0.\overline{7}+0.4\overline{7}=\dfrac{3}{5}+\dfrac{7}{9}+\dfrac{43}{90}=\dfrac{54}{90}+\dfrac{70}{90}+\dfrac{43}{90}=\dfrac{167}{90}\)

Answer:

60

Step-by-step explanation:

3*4^2+4+8

Answer:

60.

Step-by-step explanation:

So, multiply 3 x 4² that equals 48. 48 + 4 = 52 + 8 = 60.

4² = 16

3 x 16 = 48

The dimensions of a horizontal cross-section will vary depending on the specific shape or object being considered.

To determine the dimensions of a horizontal cross-section, we need more specific information about the object or shape in question.

A horizontal cross-section refers to a slice or cut made parallel to the horizontal plane.

The dimensions of a horizontal cross-section will depend on the shape or object being sliced. For example, if we have a rectangular prism, a horizontal cross-section would result in a rectangle.

The dimensions of this rectangle would be equal to the dimensions of the corresponding face of the prism.

If we have a cylindrical object, a horizontal cross-section would result in a circle. The dimensions of this circle would be determined by the radius or diameter of the cylinder.

It is essential to provide more information about the shape or object to determine its corresponding horizontal cross-section dimensions.

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To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:

y - x = 3 (Expression that represents age difference between Fatimah and Nadia)

x + 3 = y, where x, y > 0 and y > x. (1)

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

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An expression which can be used to determine the slope of the line include the following: A. \(\frac{-1 - 4}{3-2}\)

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-1 - 4)/(3 - 2) ⇒ (required expression).

Slope (m) = -5/1

Slope (m) = -5.

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Complete Question:

The graph of a line passes through the two points below.

(2, 4); (3,-1)

Which of these can be used to determine the slope of the line?

A. \(\frac{-1 - 4}{3-2}\)

B. \(\frac{-1 + 4}{3+2}\)

C. \(\frac{4 - 1}{3-2}\)

D. \(\frac{-1 - 3}{4-2}\)

Projab is the projection of vector a onto vector b. It is a vector that is perpendicular to b and has the same magnitude as a, and it is the vector that is closest to a in the direction of b.

In R2, the geometric interpretation is that projab is the vector that is obtained by dropping a perpendicular line from the tip of a onto the line containing b.

In R3, the geometric interpretation is that projab is the vector that is obtained by dropping a perpendicular line from the tip of a onto the plane containing b.

The equation for projab is projab = (a.b/|b|^2)b, where a.b is the dot product of a and b, and |b| is the magnitude of b.

The best estimator's error vector, when seen in terms of mean square errors, is orthogonal to all other feasible estimators, according to the orthogonality principle. The orthogonality principle can be expressed in a variety of ways, but it is most frequently used to describe linear estimators.

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The correct statement is Parking in the street overnight tonight may get Peter fined.

Given

Peter just received a written warning from the HOA concerning the parking of his car overnight on a community street.

The consequences for his action are, he will receive a monetary fine and his car will be towed for the reason that he didn't comply with the by-laws of the HOA.

Also, he was already given a warning for his actions but he still didn't follow.

In the given statement from the contract, Peter signed with his Homeowners' Association, we can see the explanation of the prohibition of parking on community streets and the consequences that a person has to face if he/she doesn't obey this rule.

According to the information presented in the text, if Peter parked again overnight in the community street, he might get fined.

Hence, the correct statement is Parking in the street overnight tonight may get Peter fined.

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The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

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Pretty sure the answer is B The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.

Step-by-step explanation:

Since the 10 % solution that you're adding to the 30% solution is 10% acid when you add it to the 30 acid percent solution it would never decrease the acidity levels farther than 10 percent no matter how much you put because the solution your adding is at a 10% acidity and the other solution is 30% acidity and has a higher acidity level than the 10% so it could never go lower than the solution you are adding to it.

Really hope I did an okay job at explaining.

Answer:

B on edge

Step-by-step explanation:

Passed the test

Answer:

f(0) = 1

Step-by-step explanation:

you are given a graph of the function f  

If we describe this in words, we can say that we are given a graph of f(x)  where "x" is the value of the graph on the x-axis and f(x) is the corresponding value of y on the graph

in this case, we are asked to find f(0). If we compare f(0) with our explanation of f(x) above, we can conclude that we are asked to find the value for y (on the graph) when x = 0.

Simply reading from the graph, we can see that when x = 0, the corresponding value of y on the graph is 1  (i.e the vertex of the graph).

hence f(0) = 1

Answer:

144m^3

Step-by-step explanation:

Answer:

x-

\(x = - {y}^{2} + 8k\)

Answer:

Nah I have grids

Step-by-step explanation:

The side of the square is x^5 .

Area of a square = (side)² = a²,

Given;

area of a square = \(x^{10}\)

Equating it with the general formula of square

Area of a square = a²,

          a² =  \(x^{10}\)

Taking square root on both sides,

\(a = \sqrt{x^{10}} \\\\a = x^5\)

Hence, the side of the square is x^5.

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The length is 14m and width is 10.5m when Samantha has 35 m of fencing to build a three-sided fence.

How to calculate the dimensions?

From the information given, Samantha has 35 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank.

It should be noted that the area of a rectangle is calculated as:

= Length × Width

Also, the perimeter will be calculated as:

= 2(length + width)

Based on the information given, the perimeter will be:

58 = 2w + l

l = 58 - 2w

Area = Length× Width

Area = w(58 - 2w)

190 = 58w - 2w²

-2w² + 58w - 190

w = 10.5 meters

Length = 58 - 2w

= 58 - 2(10.5)

= 58 - 21

= 14

The length is 14m and width is 10.5m

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Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

Using translation concepts, it is found that the location of the treasure could be given by these following points:

A. point (1, 4) or point (-2, 1)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

We consider that he is at point (-2,4), hence:

Hence option A is correct.

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Answer:

17.89 ft

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 +16^2 = c^2

64+ 256 = c^2

320 =c^2

Taking the square root of each side

sqrt(320) = sqrt(c^2)

sqrt(64*5) = c

sqrt(64) sqrt(5) =c

8 sqrt(5) = c

17.88854382=c

17.89 ft

\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)

A ladder is placed 8 feet away from a wall. The distance from the ground straight to the top of the wall is 16 feet.

so it is a right angle triangle

in a right angle triangle, According to the Pythagorean theorom,

\(\boxed{\sf{l^2+b^2=h^2 }}\)

where

The height of the ladder is \(\sf{8\sqrt{5} }\)

Answer:

13 feet

Step-by-step explanation:

If the length is 3 less than 2x the width, you can set up the equation 2(2w-3) + 2(w) = 72 and solve. That gives you w = 8. Lastly plug it in and that gives you 13.

(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d)  The raw score corresponding to z = 1.5 is 37.5.

For a normal distribution with mean μ = 30 and standard deviation σ = 5:

(a) To find the z-score corresponding to x = 25, we use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (25 - 30) / 5 = -1

Therefore, the z-score corresponding to x = 25 is -1.

(b) To find the z-score corresponding to x = 42, we again use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (42 - 30) / 5 = 2.4

Therefore, the z-score corresponding to x = 42 is 2.4.

(c) To find the raw score (x) corresponding to z = -3, we use the formula:

z = (x - μ) / σ

Rearranging the formula, we get:

x = μ + zσ

Substituting the values, we get:

x = 30 + (-3) x 5 = 15

Therefore, the raw score corresponding to z = -3 is 15.

(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:

x = μ + zσ

Substituting the values, we get:

x = 30 + 1.5 x 5 = 37.5

Therefore, the raw score corresponding to z = 1.5 is 37.5.

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