Which Range Contains The Value Of 4(4+3) A: Between 2.6 And 2.7 B: Between 4.3 And 4.5 C: Between 5.2 (2024)

The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

The triangle underwent the following operations:

The triangle's coordinates shift from (x, y) to (-x, y) when the y-axis is reflected, but the side lengths and angles remain the same.The triangle's side length is increased when it is expanded by a factor and then centred at the origin, but the angles in the triangle stay unchanged because the ratio of the sides before and after expansion is the same.

As a result, while the dilation would only maintain the angles, the reflection would preserve both side lengths and angles.

Thus, Angles are preserved, but side lengths are not.

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The mean and standard deviation is x ~ N(76,3).

Given that a population has a mean = 76 and a standard deviation o = 24

We need to find the standard deviation of a sampling distribution of sample means with sample, n = 64.

The mean of the sampling distribution of sample means is =

x = μ

x = 76

Now,

SD = σ/√n

= 24/√64

= 24/8

= 3

Hence, x ~ N(76,3).

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1. The product of the matrix MG would be [tex]\left[\begin{array}{ccc}1&k_1+9&4k_2+36\\2t_1&k_1t_1-17&3k_2-19t_1-11\\t_2+1&k_1-4t_2+5&k_2t_2-8\end{array}\right][/tex]

2. The values of k₁ = -9; k₂ = -9; t₁ = 0; t₂ = -1

How do we solve for the Matrix product of MG?

The values of the matrix M and G are;

M = [1, 4, 5; G = [2, k₁, -19;

t₁, 3, -1; 1, -4, k₂;

1, t₂, 1] -1, 5, 11]

The product MG will be row 1

1×2 + 4×1 + 5×-1 1k₁+4×-4+ 5×5 1×-19+4k₂+5×11 ⇒1 k₁+9 4k₂+36

Row 2

t₁×2+3×1+-1×-1 t₁k₁+3×-4+-1×5 t₁×-19+3k₂+-1×11 ⇒ 2t₁ k₁t₁-17 3k₂-19t₁-11

Row 3

1×2+t₂×1+1×-1 1k₁+t₂×-4+-1×5 1×-19+t₂k₂+1×11 ⇒ t₂+1 k₁-4t₂+5 k₂t₂-8

Therefore MG =

1 k₁+9 4k₂+36

2t₁ k₁t₁-17 3k₂-19t₁-11

t₂+1 k₁-4t₂+5 k₂t₂-8

G = M⁻¹ should be an identity matrix which looks like

IM = [ 1 0 0

0 1 0

0 0 1 ]

MG and I to find the values of t₁, t₂, k₁, and k₂:

1 = 1, k₁+9 = 0, 4k₂+36 = 0

2t₁ = 0 k₁t₁-17 = 1 3k₂-19t₁-11 = 0

4k₂+36 = 0 ⇒ k₂ = -9

2t₁ = 0 ⇒ t₁ = 0

t₂+1 = 0 ⇒ t₂ = -1

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The probability that Ronnie gets a carrot and Sydney gets a green bean is 0.53.

Given that, q bucket contains the following vegetables 1 squash, 2 carrots, 4 heads of broccoli, 2 artichokes and 5 green beans.

Total number of vegetables = 1+2+4+2+5

= 14

The probability that Ronnie gets a carrot = 2/14

= 1/7

The probability that Sydney gets a green bean = 5/13

Here, the probability of a event = 1/7 + 5/13

= (13+35)/91

= 48/91

= 0.53

Therefore, the probability that Ronnie gets a carrot and Sydney gets a green bean is 0.53.

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The matrix after the row operation is:

[tex]\left[\begin{array}{ccc}1&4/9&-1\\-43&-19&44\end{array}\right][/tex]

We have,

We use the operation R1 → R1/9.

This will give us,

Row 1 values will change to 9/9, 4/9, -9/9

So,

1, 4/9, -1

Now,

[tex]\left[\begin{array}{ccc}1&4/9&-1\\-43&-19&44\end{array}\right][/tex]

Thus,

The matrix after the row operation is:

[tex]\left[\begin{array}{ccc}1&4/9&-1\\-43&-19&44\end{array}\right][/tex]

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If a line has a slope of 3 and contains the point (-1, 4), its equation in point-slope form include the following: C. y - 4 = 3(x - 1).

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

At data point (1, 4) and a slope of 3, a linear equation for this line can be calculated or determined by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 4 = 3(x - 1)

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The expression that is equivalent to 2.76 is two and nineteen twenty fifths

Which of the expressions is equivalent to 2.76?

The number in the question is given as 2.76

This means that we have

Number = 2.76

We can rewrite this as a mixed number.

2 + a/b

Such that:

a/b = 0.76

From the list of options, we have

two and nineteen twenty fifths = 2 + 19/25 = 2.76

This means that the correct expression is two and nineteen twenty fifths

Hence, the expression that is equivalent to 2.76 is two and nineteen twenty fifths

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Complete question

Which of the following is equivalent to 2.76?

2.76%

27.6%

two and nineteen twenty fifths

twenty five over nineteen

The number of prescriptions were filtered in second hour that is the value of missing data is 13.

Hence, the correct option is (A).

We know that the mean of a data set is given by,

Mean = Total value of observations/Number of observations.

Here numbers of prescriptions in each hour of 8 hours be 18, x, 22, 25, 16, 24, 22, 28.

So the total value of observations = 18 + x + 22 + 25 + 16 + 24 + 22 + 28 = 155 + x

Number of observations here the number of hours = 8.

So the mean = (155 + x)/8

and given that mean is 21.

According to data we can say that,

(155 + x)/8 = 21

155 + x = 21*8 = 168

x = 168 - 155 = 13

So the number of prescriptions were filtered in second hour is 13.

So the correct option is (A).

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The question is incomplete. Complete question will be -

The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The class has a cat and a dog = 9

Has a dog and does not have a cat = 2

Does not have a dog and has a cat = 4

Does not have dog and cat = 5

The total strength of the class is 20

The probability that a student is chosen randomly from the class has a cat or a dog = Number of favorable outcomes / total number of outcomes

P(E) = 15 /20

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Answer:

Step-by-step explanation:

its 11/28

Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

The correct option is c because the measure of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem.

What is the Angles of Intersecting Chords Theorem

The Angles of Intersecting Chords Theorem states that the angle formed by the intersection of the chords is equal to half the sum of the intercepted arcs, and conversely, that the measure of an intercepted arc is half the sum of the two angles that intercept it.

66° = (RE + ST)/2

66° = (RE + 70)/2

RE + 70 = 2 × 66 {cross multiplication}

RE + 70 = 132

RE = 132 -70 {collect like terms}

RE = 62°

Therefore, the measures of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem

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Answer:

your selection is correct. The slope is positive. As x increases y increases.

Option (A) "Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y" is correct.

We have,

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have a statement:

Steps to construct an angle MNT congruent to angle PQR.

To construct an angle MNT congruent to angle PQR, the steps are as follows:

Step 1: Use a compass to draw an arc from point Q that intersects the side PQ at point A and the side QR at point B.

Step 2: Draw a segment NT, and use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.

Step 3: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Step 4: Join points N and Y using a straightedge.

Thus, option (A) "Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y" is correct.

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The value of the index form is x¹³/11

What are index forms?

Index forms are simply described as mathematical forms or expressions that are used to represent numbers or variables that are too large or too small to be written conveniently.

Some rules of index forms are;

Add the exponents of the values when multiply forms of the same basesSubtract the exponents of the values when dividing forms of same basesAdd like bases

From the information given, we have that;

x⁹/11 × x⁴/11

Since they are of the same bases, add the exponent values

x¹³/11

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Shift 4 units right, reflect over the y-axis, shift 2 units down is the transformation applied.

The parent function f(x) = 2x is transformed to g(x) = (2x-2)⁻²

To determine the transformations applied to f(x), we can work from the inside out, starting with the expression 2x-2:

Shift 2 units to the right: This can be achieved by replacing x with (x-2).

This gives us the expression 2(x-2) = 2x-4.

Reflect over the y-axis: This can be achieved by replacing x with (-x).

This gives us the expression 2(-x)-4 = -2x-4.

Square and take the reciprocal: This can be achieved by applying the transformation f(x) -> 1/f(x)².

This gives us the expression (-1/2x-4)².

Therefore, the transformations applied to f(x) are shift 2 units to the right, reflect over the y-axis, and square and take the reciprocal.

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Answer:

The answer is 32cm²

Step-by-step explanation:

Area of triangle G=8cm²

A=1/2×xy=8cm²

Area of triangle H=?

A=1/2×4x×4y

A=4×area of triangle G

A=8×4=32cm²

The vocabulary term for segment a is called the apothem.

The area of the polygon is 319.8 cm²

How did we get the value?

To find the area of the polygon, we can use the formula:

Area = (1/2) × Perimeter × Apothem

The perimeter of the polygon can be found by multiplying the number of sides by the length of each side, so:

Perimeter = number of sides × length of each side

Perimeter = 6 × 14 cm (since it's a regular hexagon)

Perimeter = 84 cm

Finding the apothem, use the fact that it forms a right triangle with half of one side length and the apothem as the legs, and the apothem as the hypotenuse. Thus,

a² = s² - (s/2)²

a² = 196 - 49

a² = 147

a = √(147) = 7.65 cm

Now, we can plug in our values into the formula for the area:

Area = (1/2) × Perimeter × Apothem

Area = (1/2) × 84 cm × 7.65 cm

Area = 319.8 cm²

Rounding to the nearest tenth and including the correct units, we get:

Area ≈ 319.8 cm²

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The figure is not a rectangular pyramid but it is a triangular prism.

The base is a triangle not a rectangle.

The given figure is a triangular prism not a rectangular pyramid

A triangular prism is a prism composed of two triangular bases and three rectangular sides.

Rectangular pyramid is a solid with a rectangle-shaped base and triangular lateral faces

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Answer:

( 4t + 15 ) / 20

Step-by-step explanation:

Let me show you the formula for this type of question,

[tex] \frac{a}{c} + \frac{b}{d} = \frac{ad + bc}{cd} [/tex]

So here for you,

[tex] \frac{t}{5} + \frac{3}{4} = \frac{ 4t+15 }{20} [/tex]

Answer:

A

Step-by-step explanation:

0.15 × 12 = 1.8

ps : i'm not sure if it's true or not, but i think this is the answer. i'm sorry if i get you wrong

Answer:

Step-by-step explanation: Here if we put [tex]x=0[/tex] then we will get initial temperature. That is [tex]T_0=70+20=90[/tex].

The temperature will cools down [tex]70(0.8)^{10}+20=27.52(approx)[/tex].

So the final temperature after 10 minutes will be :[tex]90-27.52=62.48(approx)[/tex].

Final Answer: The temperature is 62.48 degree Celsius.

Answer:

To determine the day and time 7777 hours later in Washington, D.C., we first need to determine the time difference between Portland, Oregon, and Washington, D.C. Portland is in the Pacific Time Zone, while Washington, D.C., is in the Eastern Time Zone. The time difference between the two zones is 3 hours, with Eastern Time being ahead of Pacific Time.

So, if it is 7:00 a.m. in Portland, it would be 10:00 a.m. in Washington, D.C.

Next, we need to calculate the number of days that pass in 7777 hours. Since there are 24 hours in a day, we can divide 7777 by 24 to get the number of days:

7777 ÷ 24 = 324 remainder 1

So, 7777 hours is equal to 324 days and 1 hour.

Finally, we can add 324 days and 1 hour to the current time in Washington, D.C.:

10:00 a.m. on March 1 + 324 days and 1 hour = 11:00 a.m. on January 20 of the following year.

Therefore, 7777 hours later in Washington, D.C., would be 11:00 a.m. on January 20 of the following year.

Answer: 7777 hours late in Washington D.C. would be 11:00 a.m on January 20th of the following year

Step-by-step explanation:

Answer:

To find the surface area of the smaller rectangular prism, we need to use the fact that the two prisms are similar and the ratio of their sides is 2:3. This means that the corresponding sides of the two prisms are in the ratio 2:3.

Let the dimensions of the smaller rectangular prism be 2x, 3x, and y, where x is a constant and y is the height. Then, the dimensions of the larger rectangular prism are 4x, 6x, and 2y.

The surface area of the smaller rectangular prism is given by:

2(2x * 3x) + 2(2x * y) + 2(3x * y) = 12x² + 4xy

We know that the surface area of the larger rectangular prism is 2592 cm², so we can set up the following equation:

2(4x * 6x) + 2(4x * 2y) + 2(6x * 2y) = 2592

Simplifying this equation gives:

72x² + 16xy = 1296

We can solve for y in terms of x by rearranging the terms:

y = (1296 - 72x²) / (16x)

Now we can substitute this expression for y into the equation

Step-by-step explanation:

Step-by-step explanation:

The real-world situation that can be represented by 4m+2 is option D, where a music download website has a membership fee of $4 and charges $2 for each download.

Here, "4m" represents the total cost of downloading "m" songs at a cost of $2 per song, and "2" represents the fixed cost of the membership fee. So, the total cost of downloading "m" songs along with the membership fee can be represented by the expression 4m + 2.

Step-by-step explanation:

The dressmaker's expected value can be calculated as follows:

E(X) = (1/5) x $76 + (6/11) x (-$31)

E(X) = $15.20 - $16.36

E(X) = -$1.16

Therefore, the dressmaker's expected value is -$1.16, which means that on average, the dressmaker can expect to lose $1.16 for each dress they create.

The points (-4, 3), (-1, 1), and (1, 3) cannot form the vertices of a right triangle.

To determine if the points (-4, 3), (-1, 1), and (1, 3) can form the vertices of a right triangle

we need to check if the square of the length of one side of the triangle is equal to the sum of the squares of the lengths of the other two sides.

We calculated the distances between the three points using the distance formula, and checked if any of the three sides of the triangle satisfied the Pythagorean theorem, which relates the sides of a right triangle.

Since none of the three sides satisfied the Pythagorean theorem, the given points cannot form the vertices of a right triangle.

Therefore, the points (-4, 3), (-1, 1), and (1, 3) cannot form the vertices of a right triangle.

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The relationship between Dani's time and Candice's time, taking into account the fact that Dani took 5 minutes longer to run the course. it is Reasonable time to assume that the runners' rates were constant. Option C is the correct answer.

Let "t" be the time it took Candice to run the course.

Then, according to the problem statement, Dani took 5 minutes longer than Candice to run the course. Therefore, Dani's time is equal to Candice's time plus 5 minutes, which can be expressed as:

D = C + 5

where D is Dani's time and C is Candice's time.

This equation represents the relationship between Dani's time and Candice's time, taking into account the fact that Dani took 5 minutes longer to run the course. It can be used to solve problems related to the two runners' times, such as finding their individual times or comparing their rates. Option C is the correct answer.

It is important to note that this equation assumes that both runners ran the course at a constant rate. If the runners' rates varied throughout the course, then the equation would not accurately represent their times. However, for the purposes of this problem, it is reasonable to assume that the runners' rates were constant.

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