I have 47 question fast and right and no link or bot

Answer:

Option (3)

Step-by-step explanation:

Scale factor by which the rectangle given in the picture is enlarged = 7.5

Since, scale factor = \(\frac{\text{Dimension of dilated rectangle}}{\text{Dimension of the original}}\)

7.5 = \(\frac{\text{Length of the dilated rectangle}}{\text{Length of the original}}\)

7.5 = \(\frac{L}{8}\)

Length of the dilated rectangle = 7.5×8

                                                    = 60 cm

Similarly, width of the dilated rectangle = 7.5 × width of the original rectangle

= 7.5 × 6

= 45 cm

Now area of the dilated rectangle = Length × width

                                                        = 60 × 45

                                                        = 2700 cm²

Perimeter of the dilated rectangle = 2(length + width)

                                                         = 2(60 + 45)

                                                         = 2(105)

                                                         = 210 cm

Therefore, Option (3) will be the correct option.

Answer:

2√8 + 3√2

5.65685424949 + 4.24264068712

9.89949493661

Answer:

Step-by-step explanation:

a=F/m

a=18/4.5

a=4 m/s/s

hope this helped! :D

The true statement is, The graph of y = log (x) + 4 is the graph of y = log (x) translated 4 units up.

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

Given function is,

y = log (x)

When the graph is translated 4 units down,

y = log (x) - 4

When the graph is translated 4 units left,

y = log (x + 4)

When the graph is translated 4 units up,

y = log (x) + 4

When the graph is translated 4 units right,

y = log (x - 4)

Hence the true statement is C.

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Answer:

300000000

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Hope this helps :)

Brainest pls?

Answer:

S₇ = 514.75

Step-by-step explanation:

the nth term of a geometric sequence is

\(t_{n}\) = a\(r^{n-1}\)

where a is the first term and r the common ratio

given t₂ = 24 and t₅ = 81 , then

ar = 24 → (1)

a\(r^{4}\) = 81 → (2)

divide (2) by (1) to eliminate a

\(\frac{ar^{4} }{ar}\) = \(\frac{81}{24}\)

r³ = \(\frac{81}{24}\) ( take cube root of both sides )

\(\sqrt[3]{r^{3} }\) = \(\sqrt[3]{\frac{81}{24} }\)

r = 1.5

substitute r = 1.5 into (1) and solve for a

a × 1.5 = 24 ( divide both sides by 1.5 )

a = 16

the sum to n terms of a geometric sequence is

\(S_{n}\) = \(\frac{a(r^{n}-1) }{r-1}\) , then

S₇    = \(\frac{16((1.5)^{7}-1)) }{1.5-1}\)

      = \(\frac{16(17.0859375-1)}{1.5-1}\)

     = \(\frac{16(16.0859375)}{0.5}\) ( divide 16 by 0.5 )

     = 32 × 16.0859375

     = 514.75

Answer:

c

Step-by-step explanation:

100% on edge

Answer:

81 / 256

Step-by-step explanation:

just multiply 3/4 4 times

(Just because I'm a high schooler doesn't mean that I don't know this I take AP and IB classes)

Fractions are numbers that have a numerator and a denominator. The numerator is the number at the top and the denominator is the number below.

They are represented as:

\(\frac{x}{y}\) , where x = numerator, y = denominator.

\(\frac{3}{4}\) to the power of 4 is \(\frac{81}{256}\)

3/4 to the power of 4 as a fraction is written as :

\((\frac{3}{4} )^{4}\)

= \(\frac{3^{4} }{4^{4} }\)

= \(\frac{3*3*3*3}{4*4*4*4}\)

= \(\frac{81}{256}\)

Therefore, \(\frac{3}{4}\) to the power of 4 is \(\frac{81}{256}\)

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Answer:

H0 : p ≤ 0.38

H1 : p > 0.38

Step-by-step explanation:

Given :

Claim : percentage of residents who favor annexation is above 38%

The claim in the context here is the alternative hypothesis ; since the null and the alternative are always the opposite, then the ;

The null hypothesis : percentage is less than equal to 38%

The alternative hypothesis ; percentage is greater than 38%

Null hypothesis H0 : p ≤ 0.38

Alternative hypothesis H1 : p > 0.38

12:14❤

21:18

By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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Answer:

1575

Step-by-step explanation:

3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.

Answer:

214 cubic feet (rounded to the nearest cubic foot)

Step-by-step explanation:

Step 1  Determine the volume of 1 box

Volume of a box or rectangular prism = dimensions multiplied by each other

Here, the given dimensions are 11 in by 8 in by 12 in

So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches

Step 2 Determine volume of all 350 boxes

Volume of 1 box = 1056

So volume of all 350 boxes = 1056 x 350 = 369600 cubic in

Step 3 Convert cubic in to cubic ft

To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)

369600 / 1728 = 214 cubic feet (to the nearest cubic foot)

214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in

Using translation concepts, function g(x) is given as follows:

g(x) = x² - 3.

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

Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:

g(x) = x² - 3.

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\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)

Using proportions, we have that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The scale is of 1 inch = 8 feet. What is the height for 2.5 inches? The rule of three is given by:

1 inch - 8 feet.

2.5 inches - x feet

Applying cross multiplication, the height in feet of the final building is given by:

x = 8 x 2.5 = 20 feet.

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The height of the building is calculated by representing 1 inch as 8 feet. The final building has a height of 20 feet.

Scaling is the increase or decrease in the height of an object by a scale factor k.

Given that the scale used is:

1 inch = 8 feet. Hence:

Since the height of the building is 2.5 in, hence:

Height of the final building = 2.5 in * 8 ft per 1 in = 20 feet

The height of the final building is 20 feet.

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Answer:

2.2

Step-by-step explanation:

8.8 / 4

you get 2.2

hope it helps

Answer:

2.2

Step-by-step explanation:

8.8 divided by 4 = 2.2

Check the picture below, so Francesca's throw looks more or less like that, and it hits the ground when h(t) = 0

\(\stackrel{h}{0}=1+14t-5t^2\implies 5t^2-14t-1=0 \\\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{5}t^2\stackrel{\stackrel{b}{\downarrow }}{-14}t\stackrel{\stackrel{c}{\downarrow }}{-1}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}\)

\(t= \cfrac{ - (-14) \pm \sqrt { (-14)^2 -4(5)(-1)}}{2(5)} \implies t = \cfrac{ 14 \pm \sqrt { 196 +20}}{ 10 } \\\\\\ t= \cfrac{ 14 \pm \sqrt { 216 }}{ 10 }\implies t=\cfrac{ 14 \pm 6\sqrt { 6 }}{ 10 }\implies t=\cfrac{ 7 \pm 3\sqrt { 6 }}{ 5 }\implies t\approx \begin{cases} ~~ 2.870~\checkmark\\ -0.070 \end{cases}\)

so there are two valid values, however we can't use the negative one, since the phenomena is for seconds and we can't have negative seconds in this case.

Answer:

12π units² or 37.68 units²

Hope that helps

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Kiet will make his another observation at every multiples of 6 until it reaches at 60 which is at 2 : 00 pm.

Given that,

Kiet needs to observe a science experiment every 6 minutes for one hour.

He makes his first observation at 1:00 p.m.

Now he needs to make the observation every 6 minutes.

This means that his second observation will be at 1:06 pm.

Third observation will be at 1:12 pm.

Fourth will be at 1:18 pm.

It goes on like this for every multiples of 6.

His last observation will be at 2:00 pm which is at the 60th minute after 1.

Hence Kiet will make his observations at every multiples of 6 until it reaches 60.

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Answer:

Loss is Rs. 78

Step-by-step explanation:

Solution:

Given,

Here,

L%= L/CP ×100%

or,. 5 =L/1560×100

or,. 5×1560/100 =L

or,. L= Rs.78

Therefore, Loss is Rs.78

Answer:

slope = 2

Step-by-step explanation:

will make it so simple and short

slope = rise / run

slope = 6 / 3

slope = 2

Answer:

B

Step-by-step explanation:

The formula for slope is (y2-y1)/(x2-x1)

In this case it is (1+5)/(3-0)

6/3

2

The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

Answer: 2.68

Step-by-step explanation: 0.4 + 0.68 + 1.6

Answer:

-13, -12, -11

Step-by-step explanation:

Step 1: Define

1st consecutive integer - x

2nd consecutive integer - x + 1

3rd consecutive integer - x + 2

Step 2: Set up equation

x + x + 1 + x + 2 = -36

Step 3: Solve for x

Step 4: Find other integers

1st consecutive integer = -13

2nd consecutive integer = -13 + 1 = -12

3rd consecutive integer = -13 + 2 = -11

After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.

The formula for the volume of a sphere of radius "r" is:

V = (4/3)πr³

Substituting the specified radius value (r = 11 cm), we get:

V = (4/3)π(11)³ \sV = 5575.279 cm³

Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:

Density = Volume Weight

Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3

When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:

The weight is 25.121811974 kg.

As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right