The Florida "standard" speed limits on rural interstates is __________ mph. A. 70 B. 65 C. 60 D. 55

Answer:

a)7640

b)4325670

Step-by-step explanation:

when rounding off a number one of the factors to consider is the number before the number you are supposed to round off,if the number is greater than 5 or equal to then you can go ahead and add a 1 to the number you have to round off.but if the number before is less than 5 you just have to leave the number the way it is.in this case for the first question you can see that the tens number is 3 and the number before is greater than 5 so you can add a 1 to the 3 to make it 4, bringing the answer to 7640 the 9 becames a zero..for the second one you can see that the number before the tens number is less than 5 so you can't add a 1 to it leaving the answer as 4325670..

I hope this helps

We are required to find the volume of the object which comprises of a cylinder and a cone

The volume of the object is 108 in³

Volume of a cylinder = πr²h

π = 3

r = diameter / 2 = 4 in / 2 = 2 in

h = 8 in

Volume of a cylinder = πr²h

= 3 × (2 in)² × 8 in

= 3 × 4 in² × 8 in

= 96 in³

Volume of a cone = πr²h/3

= (3 × (2 in)² × 3 in) / 3

= (3 × 4 in² × 3 in) / 3

= 36 in³ / 3

= 12 in³

The volume of the object can be found by adding the volume of the cylinder and the volume of the cone

Total volume = Volume of a cylinder + Volume of a cone

= 96 in³ + 12 in³

= 108 in³

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Answer:  1:30 PM

It takes 30 minutes

==========================================================

Explanation:

x = number of hours traveled

We'll use the equation

distance = rate*time

You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.

16x = 8

x = 8/16

x = 1/2

x = 0.5

Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.

If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.

------------------

Extra info:

You travel 12x = 12*0.5 = 6 miles

Your friend travels 4x = 4*0.5 = 2 miles

Total distance = you+friend = 6+2 = 8 miles

This helps confirm the answer.

Answer:

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3

Step-by-step explanation:

A trigonometric function is the same as

[tex]f(x) = a \cos(b(x + c)) - d[/tex]

Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.

Given the function

[tex]7 \cos(2x + \pi) - 3[/tex]

The amplitude is 7, and the midline is -3. The period is

[tex] \frac{2\pi}{2} = \pi[/tex]

The phase shift is

[tex]2x + \pi = 0[/tex]

[tex]2x = - \pi[/tex]

[tex]x = - \frac{\pi}{2} [/tex]

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3.

Answer:

Step-by-step explanation:

The equation for the direct variation is, for us (using f and m instead of y and x):

f = km, where k is the constant of proportionality. We need to solve for this first using the first set of given values:

-19 = k(14) so

[tex]k=-\frac{19}{14}[/tex] Now plug that in with second set of givens, namely to find f when m is 2:

[tex]f=(-\frac{19}{14})(2)[/tex] and

[tex]f=-\frac{19}{7}[/tex]

Answer:

-b - 6

Step-by-step explanation:

4(1 - 2b) + 7b - 10

Apply the distributive property:

4(1 - 2b) + 7b - 10

(4)(1) + (4)(−2b) + 7b + (−10)

4 + (−8b) + 7b + (−10)

Combine like terms:

4 + −8b + 7b + −10

(−8b + 7b) + (4 - 10)

-b - 6

Answer:

-b - 6

Step-by-step explanation:

4 (1 - 2b) + 7b - 10

4 - 8b + 7b - 10

-b - 6

Answer:

Does the answer help you?

Answer:

40

Step-by-step explanation:

Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,

L.C.F. = 1×5×8 = 40, so common denominator = 40

Answer:

m=9n

Step-by-step explanation:

Linear equation, straight forward m=3n. Highlighted point is n=3 and m=9*3=27

The equation for the total money raised will be m = 9n.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the drama club sells sweatshirts for $9 dollars each to raise money for their club.

From the table:-

The number of Sweatshirts               Money raised

       1                                                            9

       3                                                          27    

       4                                                           36

The equation will be written as:-

m = 9n

m = 9 x 1 = 9

m = 9 x 3 = 27

m = 9 x 4 = 36

Therefore, the equation for the total money raised will be m = 9n.

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Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

2

3x. + 63x + 9x + 189

Step-by-step explanation:

Use distributive law, in other words multiply the first bracket terms by the second bracket terms

Answer:

Speed = 2 7/81 feet per second

Step-by-step explanation:

Distance travelled = 13/18 feet

Time taken = 9/26 seconds

Find the speed of Jayden in feet per second.

Speed = Distance travelled / Time taken

= 13/18 ÷ 9/26

= 13/18 × 26/9

= (13 * 26) / (18 * 9)

= 338 / 162

= 2 14/162

= 2 7/81 feet per second

Speed = 2 7/81 feet per second

Jayden speed is 2 7/81 feet per second

Problem 5

Start with the 30-60-90 triangle template

If you divide all values in that template by 2, then you'll get the diagram shown below.

Notice that the ratio of adjacent over hypotenuse leads to sqrt(3)/2

So that diagram shows that cos(30) = sqrt(3)/2

===========================================================

Problem 6

Theta = 210 is between 180 and 270, which places the angle in quadrant Q3. This is in the southwest corner. In Q3, we have sine and cosine negative. They divide to make tangent positive

tan = sin/cos = negative/negative = positive

So tangent is positive in Q3

===========================================================

Problem 7

Cosine is an even function which means cos(-x) = cos(x) for all real numbers x.

So,

cos(170) = cos(-170)

Then we'll find a coterminal angle of -170 which involves adding on 360

-170+360 = 190

The angles -170 and 190 point in the exact same direction

This then means cos(170) = cos(-170) = cos(190)

Or in short, cos(170) = cos(190)

Answer:

n=6 u=28/3

Step-by-step explanation:

system of equations

The number of used books sold will be 7 and that of the new book will be 9.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given

Number of used books = u

Number of new books  = v

In the first case;

12u + 4n =  136

In the second case;

28u + 4n = 248

By both equations,

u = 7 and n = 9

So the number of used books is 7 and the new is 9.

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Answer:

3015.92894745 cm^3

Step-by-step explanation:

Formula for volume of cylinder(v)= πr^2h

Here,

r=8 cm

h=15cm

Now,

V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3

[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7x-2=-14

29-(-14)=43

hope this helps :)

Answer:

kyrin had 16 friends

Step-by-step explanation:

40 - 2 (x) = 8 make x as friends

- 2x = 8 - 40

- 2x/ - 2 = - 32/ -2

x = 16

Phase shift and period change

Rewriting the equation:

y = cos ( 2 ( x - 2 ) )

Phase shift 2 units to the right

Period changed to 2pi/2 = pi

Answer:

Step-by-step explanation:

Decreasing rate = 12% = 0.12

y = 2400 * (1- 0.12)^x = 2400*(0.88)^x

x = 8 years

[tex]y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863[/tex]

Answer:

First option

Remove 2 tiles

Answer:

52.5

Step-by-step explanation:

Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement

Now, m<B = 105°, since ABCD is a parallelogram, <B = <D

so, m<ADC = 105° so, m<ADE = 180°-105° = 75°

Now, m<EAD+m<AED+m<ADE = 180°

or, m<AED+m<AED+m<ADE = 180°

or, x+x+75°=180°

or, 2x=180+75°

or, 2x=105°

or, x=52.5°

if 2x + 3x = ? the question is incomplete or is it about traingle

Answer:

eegwhwiwveejekjeevwhejecs

Point-slope form

y -24 = -4/5(x -0)

Find x when y is 0 (X-intercept)

0 -24 = -4/5(x -0)

-24 = -4/5x

x = -120/-4

x = 30

Answer: A. 30 minutes

The scale factor of the dilation is 0.78

The centre of dilation is located at (0,0)

The scale factor of a dilation is the ratio of the corresponding component of the final image to the original image.

According to the image given, the scale factor will be the ratio of the radius of the final image to the original image as shown below:

[tex]Scale \ factor = \frac{small \ radius}{large \ radius} \\Scale \ factor = \frac{7}{9}\\ Scale \ factor=0.78[/tex]

Hence the scale factor of the dilation is 0.78

The centre of dilation is located at the origin because the radius is the distance between the centre of the circle and its circumference. We can therefore conclude that the centre of dilation is located at (0,0)

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

The center of dilation is a point to the right of both circles.

From Analytical Geometry we know that every Circle is defined by its Radius, its form is directly proportional to its radius. Hence, the Scale Factor of the Dilation ([tex]f[/tex]) is the following ratio:

[tex]f = \frac{r_{2}}{r_{1}}[/tex] (1)

Where:

[tex]r_{1}[/tex] - Radius of the original circle.

[tex]r_{2}[/tex] - Radius of the dilated circle.

If we know that [tex]r_{1} = 9[/tex] and [tex]r_{2} = 7[/tex], then the scale factor of the dilation is:

[tex]f = \frac{7}{9}[/tex].

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

There is a geometrical approach to determine the location of the Center of Dilation. We draw two lines tangent (blue lines) to both circles and we extend to the right of the scene, the point in which both intersects each other is the location of the center of dilation. (representation is included in the image attached below)

In a nutshell, the center of dilation is a point to the right of both circles.

Answer:

as per my nowledge ans wud be b

as A means difference of highest and lowest

C means value appearing frequently

D means middle number or ascending or descending sequence

beainliest plz

Answer:

b

i dont want brainlist

Step-by-step explanation:

0,3 is the y-intercept (wich is always at x=0)

see screenshot for illustration.

you meant y-intercept, right?

Answer:

[tex]x =2[/tex]

Step-by-step explanation:

Given

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Required

Find x

We have:

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Apply exponent rule

[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]

[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]

Apply product and quotient rules of logarithm

[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]

[tex]\log (5x^4) =\log(80)[/tex]

Cancel log on both sides

[tex]5x^4 = 80[/tex]

Divide by 5

[tex]x^4 = 16[/tex]

Take 4th roots of both sides

[tex]x =2[/tex]