Marie is designing a bedspread for her grandsons new bedroom. 2/3 of the bedspread is covered in race cars, and the rest is striped 2/4 of the stripes are red. What fraction of the bedspread is covered in red stripes? ​

The given statements makes use of conditional syllogism that have major

and minor premises and a conclusion.

The conclusion that can be made from the pair of statements are;

a. If an animal is an omnivore, then it eats both plants and animals. Orangutans are omnivores, then orangutans eats both plants and animals.

b. If an animal is a female mammal, then it produce milk. If an animal

produces milk then it is a female mammal.

c. If a species is endangered , then it is likely to become extinct. Giant

panda bears are endangered, then, giant panda are likely to become

extinct.

Reasons:

A conditional syllogism makes use of deductive reasoning to draw a

conclusion based on two specified premises (major and minor) that are

asserted to be or taken as being true propositions, such that a term in the

middle is common or invalid between the proposition and the conclusion

An example is; If an organism has four legs, then it is likely to be an animal; all cats have four legs; then all cats are animals

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After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.

Using the given exponential growth model, we have:

\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)

Therefore, the population of the rural city in 2030 is approximately 11,014.18.

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Answer:

15 x 2 + 15 x r

Step-by-step explanation:

I hope this helps and hope u have an Amazing day!!

Answer:

Six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6.

Answer:

six rational numbers between 3 and 4 are 227 , 237 , 247 , 257 , 267 , 277

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Answer:

8\(\sqrt[3]{2}\)

Step-by-step explanation:

The cube root of -2 to the power of 10 is;

(-2)^10=2^10

2^10=(2^3)*(2^3)*(2^3)*2

You can factor out 2^3=8 of the cube root

So you get 8 times the cube root of 2

a) The area of the parallelogram with a base length of 15 cm and a height of 8 cm is 120 cm².

b) the area of the parallelogram with a base 5 inches longer and a height 5 inches taller than the given parallelogram is 260 cm².

a) To find the area of a parallelogram, we multiply the base length by the height. In this case, the base length is 15 cm and the height is 8 cm.

Area = base * height = 15 cm * 8 cm = 120 cm².

Therefore, the area of the parallelogram with a base length of 15 cm and a height of 8 cm is 120 cm².

b) If the base and height of a parallelogram are each increased by 5 inches compared to the given parallelogram with a base of 15 cm and height of 8 cm, we can calculate the area of the new parallelogram.

The new base length would be 15 cm + 5 cm = 20 cm, and the new height would be 8 cm + 5 cm = 13 cm.

To find the area of the new parallelogram, we multiply the new base length by the new height:

Area = base * height = 20 cm * 13 cm = 260 cm².

Therefore, the area of the parallelogram with a base 5 inches longer and a height 5 inches taller than the given parallelogram is 260 cm².

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Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

Answer:

4 or monke

Step-by-step explanation:

Answer: 4

Step-by-step explanation: the answer is 50,005 :)

hehe maybe the answer is 4

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Step 1

What is the Universal set U

The universal set is a set that contains all elements including itself.

For this question, the universal set U is

Step 2

Represent this situation by a Venn diagram

Step 3

All the people who visited Paris and Vienna

Hence, all the people who visited Paris and Vienna is given as

Step 4

All the people who visited Paris and Vienna and not London

Answer:

0.2305 ; 0.2495)

Step-by-step explanation:

Sample size, n = 2017

Number who preferred foreign over domestic cars, x = 484

Phat = 484 / 2017 = 0.2399603 = 0.240

The confidence interval :

Phat ± Margin of error

Margin of Error = Zcritical * √(phat(1-phat)/n)

Zcritical at 95% = 1.96

1 - phat = 1 - 0. 240 = 0.76

Margin of Error = 1.96 * √((0.240*0.76)/2017) = 0.0095095

Confidence interval :

Lower boundary : 0.240 - 0.0095 = 0.2305

Upper boundary : 0.240 + 0.0095 = 0.2495

(0.2305 ; 0.2495)

The rate of change of y with respect to x for a given line is 4/5.

What is the rate of change?

The rate of change is measured by a line's slope. It is frequently used when discussing momentum and is typically expressed as a ratio of one variable's change to another's corresponding change. This ratio is graphically represented by a line's slope.

The rate of change of y with respect to x for a given linear function is simply the slope expressed as:

dy/dx = (y2 - y1)/(x2 - x1)

Let us take the first 2 coordinates from the graph which are:

(0, 3) and (5, 7)

Thus;

dy/dx = (7 - 3)/(5 - 0)

dy/dx = 4/5

Hence, the rate of change of y with respect to x for a given line is 4/5.

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The reading that separates the rejected thermometers from the others is given as follows:

1.175 ºC.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 0, \sigma = 1\)

The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.

Hence:

1.175 = X/1

X = 1.175 ºC.

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Answer:

s=x-18

Step-by-step explanation:

The total of number of books they need to sell is

the total minus 18. And that will equal the amount of books they still need to sell.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:A

Step-by-step explanation:

Answer: A

Step-by-step explanation: I took the test

Answer:

  see attached

Step-by-step explanation:

The attachment shows each of the rotated figures. In order, the original is red, the first 90° CW rotation is orange, the second is green, and the last one is blue.

__

Additional comment

You can achieve the same effect by rotating your grid paper 90° CCW and drawing the figure again in its original position to the left of point A.

The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

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Hi there! :)

Answer:

\(P(heads) = \frac{1}{8}\)

Step-by-step explanation:

Probability of a coin landing on heads:

\(P(heads) = \frac{1}{2}\)

Find the probability of getting heads 3 times:

\(\frac{1}{2} * \frac{1}{2} * \frac{1}{2} = \frac{1}{8}\)

Therefore, the probability of the coin showing heads for 3 tosses is:

\(P(heads) = \frac{1}{8}\)

Answer:

x=100 y=80

Step-by-step explanation:

Answer:

1.    B. x = 100

2.   A. y = 80

Step-by-step explanation:

x° and 80° form a linear pair. That means that their measures add up to 180°.

x° + 80° = 180°

x = 100

y° is vertical with 80°. Vertical angles are congruent, so their measures are equal.

y = 80

Answer:

120 Girls

Step-by-step explanation:

First, you have to combine the dark shade girls and the light shade girls together to get 7.

Then, you should divide 210 by 7, to get 30

Finally, using 30 as your multiplier,

you go and multiply 30 x 4 to get 120 girls :D

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

13?

Step-by-step explanation:

idrk best guess. 26 divided by 2= 13.   11-13 + 2

Answer:

I got 1.885 for the answer.

Maybe they wanted it rounded to just 2 decimal places.

Step-by-step explanation:

Answer:

7 .54/4=1.88

Step-by-step explanation:

  In division we will see the relationship between the dividend, divisor, quotient and remainder. The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

y = 6x - 5

Step-by-step explanation:

Point Slope Form

y - y1 = m (x - x1)

If the slope is 6 and the point is (2,7)

y - 7 = 6 (x - 2)

y - 7 = 6x - 12

y = 6x - 5

The equation of the line that passes through the point  (2,7) and has a slope of  6 is \(y =6x-5\)

Seems there are repetitions with the numbers. The correct question should be:

What is the equation of the line that passes through the point  (2,7) and has a slope of  6?

From the question a point on the line is given which is (2,7) and the slope of the line is 6.

To determine the equation of the line for this type of question, the point-slope form of the equation of a straight line is convenient.

The point-slope form of the equation of a straight line is

\((y-y_{1})=m(x-x_{1})\)

Where m is the slope or gradient and \((x_{1},y_{1} )\) is a point on the line

From the question, m = 6, \(x_{1} = 2\) and \(y_{1} = 7\)

Putting these into the equation, we get

\((y-7)=6(x-2)\)

\(y-7=6x-12\\\)

\(y =6x-12+7\)]

\(y =6x-5\)

Hence, the equation of the line that passes through the point  (2,7) and has a slope of  6 is \(y =6x-5\)

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