Written as a rate, 162 miles in 3 hours would be ____ miles per hour.

[tex]\textbf{a)}\\\\~~~~~~~x(3x-4)=5\\\\\implies 3x^2 -4x = 5\\\\\implies 3x^2 -4x=5\\\\\implies x^2 - \dfrac 43 x = \dfrac 53\\ \\\implies x^2 - 2\cdot \dfrac 23 \cdot x + \left( \dfrac 23 \right)^2 - \left( \dfrac 23 \right)^2 = \dfrac 53\\\\\implies \left(x-\dfrac 23 \right)^2 = \dfrac 53 + \dfrac 49\\\\\implies \left(x-\dfrac 23 \right)^2= \dfrac{19}{9}\\\\\implies x- \dfrac 23 = \pm\dfrac{\sqrt{19}}3\\\\\implies x=\dfrac 23 \pm\dfrac{\sqrt{19}}3\\\\[/tex]

[tex]\text{The solutions are irrational.}\\\\\\\textbf{b)}\\\\~~~~~~~(3x-2)^2 = \dfrac 14\\\\\implies 3x -2 = \pm \dfrac 12\\\\\implies 3x = 2\pm \dfrac 12\\\\\implies x = \dfrac 23 \pm \dfrac 16\\\\ \implies x = \dfrac 56 ,~~ x =\dfrac 12 \\ \\\text{The solutions are rational .}[/tex]

Answer:

6283.2

Step-by-step explanation:

[tex]V=\pi r^{2} h[/tex]

=[tex]=\pi *10^{2} *20[/tex]

=6283.18531

=6283.2(correct to the tenths place)

Answer:

6,283.2 in^3

Step-by-step explanation:

The volume formula for a cylinder is V = (pi)r^2*h

and in this case r = 10 in, h = 20 in

so the volume of this cylinder is

V = 3.14159(10 in)^2*(20 in) = 6,283.2 in^3

Answer:

ABS Error: 0.05 cm

PERC Error: 0.40%

Step-by-step explanation:

Absolute error: Absolute difference between the actual dimension, and its measure. Measured in the same dimension as what we're measuring

(Remember the absolute)

ABS Err: | 12.25 cm - 12.2 cm | = 0.05cm

Percent error: Percentual difference between the actual dimension and its measure. Always measured in Percents

PERC Err: | (12.25 - 12.20) | / 12.25 = 0.0040 ≈ 0.40%

The missing values a, b, c, d and e are included in the given two-way table. The correct values from the options are: a =15, b=18,e=31

Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]

List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

For this case, the table given is:

[tex]\begin{array}{cccc}\rm &\rm \text{Likes swimming}&\rm \text{Doesn't like swimming}&\rm Senior\\\rm \text{Likes baseball}&a&b&33\\\rm \text{Doesn't likes baseball}&c&13&d\\\rm Total & 39& e& 70 \end{array}[/tex]

From this table, we can make 5 equations as:

[tex]a+b = 33\\a+c=39\\b+39=e\\33+d = 70\\39+e=70[/tex]

From the last two equations, we get the values of d and e as:

[tex]d = 70-33 = 37\\e = 70-39 = 31[/tex]

Putting this value of 'e' in last third equation, we get:

[tex]b + 13 = 31\\b = 31-13= 18[/tex]

From this, and first equation, we get:

[tex]a +18 = 33\\a=33-18=15[/tex]

And from this value of a, and second equation, we get:15+c = 39

[tex]c = 39-15 = 24[/tex]

Thus, the correct values are: [tex]a =15, b=18,e=31[/tex]

Learn more about two-way table here:

https://brainly.com/question/26788374

Answer:

a,b,e

Step-by-step explanation:

Answer:

I guess 21

Step-by-step explanation:

Because if you find the other side by trigonometric theorem-

[tex]x^2 = c^2 - a^2\\x^2 = 12^2 -8^2\\x^2= 144 - 64\\x^2=80\\\sqrt{x} =\sqrt{80}\\ x=8.94[/tex]

which is almost 9

9 is a possible value

they ask you to find the value which doesn't fit in the triangle

so the answer is 21 which doesn't make any sence

Hopefully, the answer would be work    

Answer:

432 cubes

Step-by-step explanation:

(9)(8)(6)=432

Hope this helps

Answer:

  432

Step-by-step explanation:

The front face of the prism (green) is 6 cubes high and 8 cubes wide. So, the front layer of cubes is 6×8 = 48 cubes.

The figure shows you there are 9 layers like this making up the whole prism.

Then the volume of the prism is ...

  (9 layers) × (48 cubes/layer) = 9×48 cubes = 432 cubes

There are 432 cubes currently in the prism.

_____

Additional comment

The picture here does not ask for the surface area of the prism. The area would be the sum of the areas of each of the surfaces.

The three surfaces we can see (red, green, blue) have areas of 9×8 = 72, 6×8 = 48, and 6×9 = 54 square units, respectively. These areas total 174 square units, but represent only half of the total area.

The other half of the area is the same (each hidden face has the same area as its visible opposite). So, the total surface area of this prism is 2×174 = 348 square units. (1 unit = small cube edge length).

Answer:

0.333333333kilograms

Step-by-Step explanation:

3 x 4 = 12

4 x 9 = 36

3/4 ÷ 4/9 = 12 ÷ 36 = 1/3 = 0.333333333 kilograms

Answer:

Substitute: 22 * 3 + 4 Calculate the sum or difference:22 * 7 Calculate the power:4 * 7Calculate the p.

Step-by-step explanation:

please all i need is one more brainliest

Answer:

18.84

Step-by-step explanation:

C = 2pi × r

C = 2 × 3.14 × 3

C = 18.84

Answer:

It would be 18.84. There is no rounding

Step-by-step explanation:

C = 2[tex]\pi[/tex]r

so it would be

C = 2[tex]\pi[/tex]3

in exact form it would be

6[tex]\pi[/tex] but as a deciamal its

18.849555.....

it says no rounding so it would be 18.84

Answer:

geometric sequence

Step-by-step explanation:

an arithmetic sequence has a common difference d between consecutive terms.

21 - 147 ≠ 3 - 21

Hence the sequence is not arithmetic

A geometric sequence has a common ratio r between consecutive terms

[tex]\frac{21}{147}[/tex] = [tex]\frac{1}{7}[/tex] and [tex]\frac{3}{21}[/tex] = [tex]\frac{1}{7}[/tex]

there is a common ratio thus the sequence is geometric

Answer:

A, B, E

Step-by-step explanation:

the 3 angles of a triangle must add up to 180

A. 10 + 10 + 160 = 180

B. 15 + 75 + 90 = 180

C. 20 + 80 + 100 = 200

D. 35 + 35 + 105 = 175

E. 60 + 60 + 60 = 180

a) 66%

b) 42%

hope it really helps..!!!

Answer:

  x = 163°

Step-by-step explanation:

The sum of interior angles of a pentagon is 540°. The missing value will bring the total to that. It can be found by subtracting the known values from 540°.

__

  x = 540° -85° -103° -121° -68°

  x = 163°

_____

Additional comment

The sum of interior angles of a simple n-gon is found from the formula ...

  angle sum = 180°·(n -2)

For n = 5, this is 180°×3 = 540°.

Answer:

4(17+5)

Step-by-step explanation:

GCF is 4

68/4 = 17

20/4 = 5

so,

4(17+5)

Answer:

413

Step-by-step explanation:

413 people should be expected to go to Fiction and Literature

Step-by-step explanation:

Proportion of people who went to Fictions and Literature on Saturday:

342 out of 467 + 433 + 343 = 1243

The proportion is:

342/1243 = 0.275

On Sunday:

Based on Saturday, so 0.275 out of 1500(number of visitors on Sunday).

0.275*1500 = 412.5

Rounding to the nearest whole number:

413 people should be expected to go to Fiction and Literature

Answer:

The answer is 8.75<3

Answer:

the correct answer is 7.50

Step-by-step explanation:

because they are telling to measure how much will 6lbs will scost them in the chart when you look at six and go up to the line it lines up with 7.50

The length of this pendulum that makes one full swing is 3.93 meters.

Mathematically, the time taken by this pendulum is given by this formula:

[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}[/tex]

Making L the subject of the formula, we have:

[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}\\\\32T^2=4\pi ^2L\\\\L=\dfrac{32T^2}{4\pi ^2}\\\\[/tex]

Substitute all the values in the formula

[tex]\rm L=\dfrac{32T^2}{4\pi ^2}\\\\ L = \dfrac{32 \times 2.2^2}{4 \times 3.14 ^2\\}\\\\ L =\dfrac{154.88}{39.43}\\\\L=3.93 \ m[/tex]

Hence, the length of this pendulum that makes one full swing is 3.93 meters.

Read more about pendulum here:

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Answer:

Basically if your coming from edge its 4 ft so B

Step-by-step explanation:

Answer:

f(x)=8,000(0.08)

Step-by-step explanation:

I am not 100% sertin but 8% = 0.08 so to find the percentage you would just multiple that by the given 8,000.

Answer:

3500cal/min

Step-by-step explanation:

You have 210kcal/h. There are 1000cal in 1kcal, and 60 minutes in 1 hour:

[tex] \frac{210}{1} \frac{kcal}{hour} \times \frac{1000}{1} \frac{cal}{kcal} \times \frac{1}{60} \frac{hour}{minutes} [/tex]

The units kcal cancel and hours cancel, leaving cal per min:

[tex] \frac{210 \times 1000}{60} \frac{cal}{minute} = 3500 \frac{cal}{min} [/tex]

Answer:

x=-5,-1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A population is a set of similar items or events which is of interest for some question or experiment.

Step-by-step explanation:

solve for y pretty much just move the negative x and turn it into a positive x because from there now you have a solid variable solved and you can just plug into the y so 3x - 2 x - 3 that'll be your equation then just do what you would normally do for a distributive multi-step equation and then take the answer you get from that and plug it into your newly solved simple equation which would be y = x - 3 that's as far as I'm going to get you but I do hope this helps

Answer:

(6, 3 )

Step-by-step explanation:

3x - 2y = 12 → (1)

- x + y = - 3 → (2)

multiplying (2) by 2 and adding to (1) will eliminate y

- 2x + 2y = - 6 → (3)

add (1) and (3) term by term to eliminate y

x = 6

substitute x = 6 into either of the 2 equations and solve for y

substituting into (1)

3(6) - 2y = 12

18 - 2y = 12 ( subtract 18 from both sides )

- 2y = - 6 ( divide both sides by - 2 )

y = 3

solution is (6, 3 )

Answer:

the percentage decrease is 60.2622577%

Step-by-step explanation:

1754-703/1754*100

1057/1754*100

105700/1754=60.2622577%

Answer:

119 square yards

Step-by-step explanation:

assuming that the parallelograms height is 8 (11 - 3) we can find the area of the bottom

13 * 8 = 104

assuming that the rectangles length is 5 (13 - 8) we can find the area of the top

3 * 5 = 15

then add those

104 + 15 = 119

Answer:

$3

Step-by-step explanation:

8% of $25 is $2. $25 + $2 is $27. $30 - $27 is $3.

Answer:

D. y-9 = 2(x-1) (This is wrong dont use lol)

Answer:

C is your correct answer.

Step-by-step explanation:

Point Slope Formula:

y - y1 = m(x -x1)

Your Coordinate Points: (-2, 3) and (1,9)

The first "y" is 3 so the y1 should be 3.

The First "x" is -2 which is what x1 should be.

**But -x1 and -2 have to be + because negative and negative should cancel out and become an addition problem.

Point Slope Form Right Now:

y - 3 = m ( x + 2)

We're missing the "m" which is the slope.

Here's the specific formula:

y2 - y1/ x2 - x1

The "y2" is 9

The "y1" is 3

The "x2" is 1

The "x1" is -2

Now, do 9-3 over 1- (-2)

9-3 = 6 and 1-(-2) = 3

6/3 should be the answer for slope but it needs to be simplified

So, do 6 divided by 3 which is 2.

2 is your slope.

Plug it in and finalize!!

y - 3 = 2 ( x + 2)    

**The answer is C but the writing of the answer choice is wrong.

The probability that his model rocket has landed in a grassy area will be equal to 0.4.

The extent to which an event is likely to occur, is measured by the ratio of the favorable cases to the whole number of cases possible.

The total area of the land will be = 5+15+30=50 acres

Now the total grassy area will be =15+5=20 Acres

Now the probability of the model rocket to land on the grassy land will be:

[tex]P=\dfrac{Grassy\ area}{Total\ area}[/tex]

[tex]P=\dfrac{20}{50}=0.4[/tex]

Hence the probability that his model rocket has landed in a grassy area will be equal to 0.4.

To know more about probability follow

https://brainly.com/question/24756209

Answer:

C.10.0%

Step-by-step explanation:

Edge 2023!