Is the sqrt3 greater than the sqrt of 10/2

Im unsure, I just took this test :P

9,513 rounded off to nearest thousands = 10,000

we have given a four digit number 9,513 to round off to nearest thousands.

steps that should be followed for rounding numbers to the nearest thousand:

round 9,513 to nearest thousands:

∵ hundreds place is 5

∴9,513≈10,000

hence, 9,513 nearest thousands is 10,000

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Answer:

Let 2w = the length

P = 2l + 2w

132 = 2(2w) + 2w

132 = 4w + 2w

132 = 6w

22 feet = w

2w = 2(22) = 48 inches

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four vertices are equal to 90 degrees.

The length of the rectangle is 49.5 inches.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four vertices are equal to 90 degrees.

We have,

Length of a rectangle = L

Width of the rectangle = W

L = 3W _____(1)

The perimeter of the rectangle:

P = 2 ( L + W )

132 = 2 ( L + W )

132 / 2 = L + W

66 = L + W

From (1),

66 = 3W + W

66 = 4W

66/4 = W

W = 16.5 inches.

From (1),

L = 3 x 16.5

L = 49.5 inches

Thus the length of the rectangle is 49.5 inches.

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Answer:21 decrees

Step-by-step explanation:

i gotch you

Answer:

6400

Step-by-step explanation:

the exponent of the ten is the number of decimal spaces you move.

6.4(103)

=6.4*103

=6.4*(10*10*10)

=6400

Answer:

y = -3x - 12

Step-by-step explanation:

y - 7 = -3x  Put in the slope intercept form for a line

y = -3x + 7

Use the slope (-3), the x(-6) and the y(6) to find the y intercept and to write the equation for the line.

y = mx + b

6 = (-3)(-6) + b

6 = 18 + b  Subtract 18 from both sides

-12 = b

y =mx + b

y = -3x -12

Answer:

The numbers are 25 & 55

Step-by-step explanation:

You can quantify this problem by using x to take the place of the first number. Because x is multiplied by 2 we get 2x, and add 5 since it is 5 more than twice the first. We can add x to 2x+5 which is 3x+5 and set it equal to 80. Then solve for x to get your first number, and subtract 80 from x to get your second number. Your work should look like this.

[tex]x + 2x + 5 = 80\\3x + 5 = 80\\3x = 80-5\\3x = 75\\3x/3 = 75/3\\x = 25\\80 -25 = 55[/tex]

Hope this helps!

Answer:

A) 0.23

B) 0.14

Step-by-step explanation:

Part A)
To solve this question, we'll have to use the Bernoulli formula.
The formula claims that the probability to get [tex]k[/tex] successes out of [tex]n[/tex] attempts is given by [tex]\binom{n}{k}p^k(1 - p)^{n - k}[/tex].

In our case, [tex]n = 5[/tex], [tex]k = 3[/tex], and [tex]p = 0.78[/tex].

Therefore, the probability that 3 out of the 5 drivers use their turn signal is

[tex]\binom53 \times 0.78^3 \times 0.22^2 \to 0.23[/tex]

Part B)

We are told that the police officer pulled over 5 drivers, 3 of them using turn signals. In this part, we are asked "what is the probability that the 5th driver uses the turn signal and only 2 of the previous four drivers use turn signals?".

[tex]0.78 \times \binom42 \times 0.78^2 \times 0.22^{4-2}\\\to 0.14[/tex]

Answer:

64 students played volly ball, 24 students played both football and vollyball

Step-by-step explanation:

srry if its not correct but im 70% sure it is

Answer:42/80

Step-by-step explanation:

We know that the shop only buys abanans with lengths between 13 cm and 20 cm.So, the fraction of the 80 bananas is actually a ratio between the y-values of each lenth (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.Notice that 13 belons to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).This fraction means that the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.

The solution is: the interquartile range of the lengths of bananas is  between 13 cm and 20 cm.

In descriptive statistics, the interquartile range tells you the spread of the middle half of your distribution. Quartiles segment any distribution that's ordered from low to high into four equal parts. The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set.

We know that the shop only buys bananas with lengths between 13 cm and 20 cm.

So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80.

First, let's see which y-values belong to each length.

Notice that 13 belongs to 20 at Cumulative Frequency.

And 20 belongs to 62.

So, the pairs are (13,20) and (20,62).

This fraction means that the shop only buys 42 bananas out of 80,

because those are between 13 cm and 20 cm.

Hence, The solution is: the interquartile range of the lengths of bananas is  between 13 cm and 20 cm.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{4}{8}}\\\\\mathsf{= \dfrac{8}{4}}\\\\\mathsf{= \dfrac{8\div4}{4\div4}}\\\\\mathsf{= \dfrac{2}{1}}\\\\\mathsf{= 2\div1}\\\\\mathsf{= 2}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{2\ or\ \dfrac{8}{4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Reciprocal of 4/8 = 8/4

Step-by-step explanation:

To get the reciprocal of 4/8 based on that definition, we can make the following equation where "R" is the reciprocal of 4/8.

(4/8) × R = 1

When we solve for R, we get the answer to the reciprocal of 4/8 as a fraction as follows:

(4/8) × R = 1

R = 8/4

Reciprocal of 4/8 = 8/4

The equation has no solution for the variable w

The equation is given as

v = -3x + s

In the above equation, there is no occurrence of the variable w

This means that it is not possible to solve the equation for w

Hence, the equation has no solution for the variable w

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The fourth option:

y=-3x+21 is correct.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-3} x+4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is -3 and that it passes through (9 , -6)

[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{9}) \implies y +6= -3 (x -9) \\\\\\ y+6=-3x+27\implies {\LARGE \begin{array}{llll} y=-3x+21 \end{array}}[/tex]

Answer:

4

Step-by-step explanation:

ill explain it in the comments but trust me that is the answer

If someone drives an average of 23,000 miles per year, the number of  gallons he will save in a year by increasing his tire pressure from 30 to 35 psi is: 32 gal.

First step is to find the number of gallon consumed at each pressure

30 psi=23,000/20.5 mpg

30 psi = 1,121.95 gal

35 psi=23, 000/ 21.1 mpg

35 psi =1,090.05 gal

Now let determine the gallon saved

Gallons saved =  1,121.95 gal- 1,090.05 gal

Gallons saved=31.9 gal

Gallons saved=32 gal (Approximately)

Therefore  If someone drives an average of 23,000 miles per year, the number of  gallons he will save in a year by increasing his tire pressure from 30 to 35 psi is: 32 gal.

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The complete question is:

When a​ car's tire pressure is 30 pounds per square inch​ (psi), it averages 20.5 mpg of gasoline. If the tire pressure is increased to 35​ psi, the car averages 21.1 mpg of gasoline.

If someone drives an average of 23,000 mi per​ year, how many gallons of gasoline will he save in a year by increasing his tire pressure from 30 to 35​ psi?

We can see that that the data is plotted on a scatterplot. The scatter plot has a vertical and a horizontal axis. It is evident that the horizontal axis plots the time while what is plotted on the vertical axis is the amount of flour.

As we can see, the relationship between the time and the amount of flour is negative. This can be seen from the shape of the plot as it is displayed in the image attached.

Looking at the shape of the graph, we can see that; The amount of flour when the time is zero seconds is 630 grams. As time increases, the amount of flour in the machine decreases. This corresponds to a negative relationship between the two variables.

The negative relationship also implies that we have to expect to have a negative slope. The rate at which the amount of flour increasing is; 210 – 630/3 – 0 = -140 grams/minute

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The equation for the linear function that best fits the data is y = 22.14x + 53.33

The data is given as

X 1. 2. 3. 4. 5. 6

Y 77. 101. 118. 137. 158. 194

Next, we enter the above values in a graphing calculator

From the graphing calculator, we have the following calculatiion summary:

For the regression equation, we have

y = bx + a

Where

b = SP/SSX = 387.5/17.5 = 22.14286

a = MY - bMX = 130.83 - (22.14*3.5) = 53.33333

Approximate b and a

So, we have

b = 22.14

a = 53.33

This gives

y = 22.14x + 53.33

Hence, the equation for the linear function that best fits the data is y = 22.14x + 53.33

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Based on the state income tax rates, and Maurice's annual salary, he state income tax for Maurice is $820.63

Maurice earns $18,750.00 per year so will have state income taxes of:

= (3,000 x 2%) + ((5,000 - 3,000) x 3%) + ((17,000 - 5,000) x 5%) + ((18,750 - 17,000) - 5.75%)

The state income tax is therefore:

= (3,000 x 2%) + ((5,000 - 3,000) x 3%) + ((17,000 - 5,000) x 5%) + ((18,750 - 17,000) - 5.75%)

= 60 + 60 + 600 + 100.625

= $820.63

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Taking into account the rule of three, the mass of 4000 atoms of gold is 1.3×10⁻¹⁸ grams.

The rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

If the relationship between the magnitudes is direct, the direct rule of three must be applied as follow, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: x= (c×b)÷a

You can apply the following rule of three: if 1 atom of gold has a mass of approximately 3.25×10⁻²² grams, 4000 atoms of gold have how much mass?

mass= (4000 atoms× 3.25×10⁻²² grams)÷ 1 atom

mass= 1.3×10⁻¹⁸ grams

Finally, the mass of 4000 atoms of gold is 1.3×10⁻¹⁸ grams.

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Josiah and Mia have $42.5 and $59.5 in the beginning respectively.

Let us assume x is the amount that Josiah have in the beginning.

y is the amount that Mia have in the beginning.

from the question

if Mia gives $8.50 to the Josiah then both have equal amount which means

y - 8.50 = x + 8.50 ........................(1)

now Mia has double If Josiah gives Mia $8.50 which means

y + 8.50 = 2(x - 8.50)

y + 8.50 = 2x - 17 ..........................(2)

now subtract equation (1) from equation (2)

(y - 8.50) - (y + 8.50) = (x + 8.50) - (2x - 17)

y - 8.50 - y - 8.50 = x + 8.50 - 2x + 17

-17 = -x + 25.5

-x = -25.5-17

x = 42.5

now put x value into equation (1) to obtain y value

y - 8.50 = x + 8.50

y - 8.50 = 42.5 + 8.50

y = 51 + 8.50

y = 59.50

Hence, the Josiah and Mia have $42.5 and $59.5 in the beginning respectively.

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The sine function h(x) is given by:

h(x) = 5sin(π/4(x - 0.5)) - 3.

The cosine function is defined as follows:

g(x) = asin(bx+c)+d.

The coefficients have these following roles:

For this function, we have that:

Hence the coefficient a is of 5, as:

a = -3 - (-8) = -3 + 8 = 5.

A standard cosine function with amplitude 5 would vary between -5 and 5, with midline at 0, hence the coefficient d is of d = -3.

The minimum value and midline form one-fourth the period, hence, since the period is of 4 x (0.5 - (-1.5)) = 8, we have that:

2π/B = 8

B = π/4

The standard midline is at x = 0, but for this function function it is at x = 0.5, meaning that the function was shifted 0.5 units right, hence c = -0.5.

Thus the function is given by:

h(x) = 5sin(π/4(x - 0.5)) - 3.

The graph at the end of the answer shows that the function has the desired features.

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Answer:

Step-by-step explanation:

Given that the formula for exponential calculation :

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = increasing rate

n = number of times increases applied per time period

t = number of time periods elapsed

[tex]A = 5,000,000,000(1 + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{100}{100} + \frac{2}{100})^{5}\\A = 5,000,000,000(\frac{102}{100})^{5}\\A = 5,000,000,000(\frac{51}{50})^{5}\\A = 5,000,000,000(1.104)\\\\A = 5,520,000,000\\A = 5.52billion[/tex]

Hope this helps, I would really appreciate it if u mark me as the brainliest. Thks

The volume (V) of Lorie's shed, being 18.25 ft in length, 15 ft in width and  (5 1/5) ft in height, will be 1423.5 cubic fts.

As per the question statement, Lorie ordered a shed of length 18.25 ft, width 15 ft and height (5 1/5) ft, to hold her gardening supplies.

We are required to calculate the volume of the above mentioned shed using the formula, provided in the question statement itself.

To solve this question, we will simply put our values in the provided formula and calculate to obtain our desired answer.

Here, "l" = 18.25 ft

       "w" =  15 ft,

And "h" =(5 1/5) =(25+1)/5=26/5=5.20ft.

Substituting the values of "l", "w" and "h" in the formula (V = lwh), we get,

Volume of the shed (V) = 18.25[tex]\times[/tex] 15 [tex]\times[/tex] 5.20

[tex]or, V = 1423.5ft^{3}[/tex].

Volume: It is a measure of occupied three-dimensional space by an object or a substance, or that is enclosed within a container.

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Answer:

other answer is right

Step-by-step explanation:

The number of hours that Maria practiced in the past 2 weeks will be 4 1/4 hours.

From the information, Maria practiced the piano for 2 1/2 hours last week and 1 3/4 hours this week.

Therefore, the number of hours that Maria practiced in the past 2 weeks will be:

= 2 1/2 + 1 3/4

= 2 2/4 + 1 3/4

= 4 1/4 hours

The number of hours that Maria practiced in the past 2 weeks will be 4 1/4 hours.

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Answer:

Step-by-step explanation:

Hey, don't worry, I got you! The answer is 0.8

The answer of  6.64 / 8.3 = 0.800

Calculations :

We then have the equations:

66.4 ÷ 83 = 0.800

and therefore:

6.64 ÷ 8.3 = 0.800

Both calculated to 3 decimal places.

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The transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3 is f(x) shifting right 7 units

This is further explained below.

Generally, the equation for vertex form is  mathematically given as

g(x) = 2(x – 7)2 – 95

Using the translations rule:

The conclusion that can be drawn from the vertex form " 2(x – 7)2 – 95" is that the parent function f(x) has been relocated 7 units to the right and 91 units upward.

In conclusion, we can say that f(x) shifted right 7 units

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Answer:

8.5

Step-by-step explanation:

180 - 102 = 78

78 + 68 + 4x = 180

146 + 4x = 180

4x = 180 - 146

4x = 34

x = 8.5

Using supplementary angles, it is found that the measure of angle QRT is of 47º.

For this problem, we have a straight line segment QS divided by an inclined segment RT. The measures of the angles are given as follows:

When two angles have measures adding to 180º, they are called supplementary.

In this problem, due to the inclined segment, angles QRT and TSR are supplementary, and we can solve for x as follows:

3x + 5 + 10x - 7 = 180

13x = 182

x = 182/13

x = 14.

Hence the measure of angle QRT is found as follows:

m<QRT = 3(14) + 5 = 47º.

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