24 worker 3.5 hours how many workers will be needed if 4 hours

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

Answer:

3.33

Step-by-step explanation:

Answer: (-4, -3)

Step-by-step explanation:

The original coordinate of J is (4, -3)

Since it is reflex over y-axis, the y value remains.

For the x value, it is originally 4 units away from the y-axis positively, thus, after reflexing, it will be 4 units away from the y-axis negatively.

The new coordinate of J' is (-4, -3)

Hope this helps!! :)

Please let me know if you have any question

Answer: I Graphed it for you in Algebra calculator, the attached file shows it to you.

Step-by-step explanation:

To find the interest on the given sum compounded quarterly:

We will use the formula to obtain A (The amount that the sum will yield) first

Thus

Hence,

Thus, the interest will be

Thus, the interest is $4632.44

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Step-by-step explanation:

the volume of the bucket is

15,000 = 1.5 × 10⁴ ml

the trough holds

2.7 × 10⁵ ml

by calculating how often the volume of the bucket fits into the volume of the trough, we will know how many buckets of water are needed :

2.7 × 10⁵ / (1.5 × 10⁴) = 2.7/1.5 × 10⁵/10⁴ = 2.7/1.5 × 10¹ =

= 27/1.5 = 18

the rancher needs 18 buckets of water to fill the trough.

\(\large{\rm{\underline{\underline{Answer:}}}}\)

Here,

\(0.04 = \dfrac{4}{100} \)

To express in terms of percentage, we have to multiply the fraction with 100. That is,

\( = \dfrac{4}{100} \times 100 \)

\( = 4\% \: (\purple{ \rm{ans}})\)

0.04 means 4% of something.

Answer:

y = 0.

Step-by-step explanation:

As x approaches negative or positive infinity y approaches 0 :- that is it approaches the x axis which is y = 0..

Answer:

The probability that 35 or more from this sample used Google Chrome as their browser is 0.9838.

Step-by-step explanation:

We are given that according to Statcounter, the Google Chrome browser controls 62.8% of the market share worldwide.

A random sample of 70 users was selected.

Let \(\hat p\) = sample proportion of users who used Google Chrome as their browser.

The z-score probability distribution for the sample proportion is given by;

                              Z  =  \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\)  ~ N(0,1)

where, \(\hat p\) = sample proportion = \(\frac{35}{70}\) = 0.50

            p = population proportion = 62.8%

            n = sample of users = 70

Now, the probability that 35 or more from this sample used Google Chrome as their browser is given by = P( \(\hat p\) \(\geq\) 0.50)

       P( \(\hat p\) \(\geq\) 0.50) = P( \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) \(\geq\) \(\frac{0.50-0.628}{\sqrt{\frac{0.50(1-0.50)}{70} } }\) ) = P(Z \(\geq\) -2.14)

                           = P(Z \(\leq\) 2.14)  = 0.9838

The above probability is calculated by looking at the value of x = 2.14 in the z table which has an area of 0.9838.

Answer:

least to greatest:

-11.7   -11.4   20/40  11.6

Answer:

Least  Next  Then    Greatest

-11.7    -11.4    20/40    11.6    

Hope this helps!

And 20/40 is also 0.5 as a decimal!

Answer:

Below

Step-by-step explanation:

The two given expressions are:

● √(2p-7) = 3

● 7√(3q-1) = 2

We are told to evaluate p+q^2

To do that let's find the values of p and q^2

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's start with p.

● √(2p-7) = 3

Square both sides

● (2p-7) = 3^2

● 2p-7 = 9

Add 7 to both sides

● 2p-7+7 = 9+7

● 2p = 16

Divide both sides by 2

● 2p/2 = 16/2

● p = 8

So the value of p is 8

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's find the value of q^2

● 7√(3q-1) = 2

Square both sides

● 7^2 × (3q-1) = 2^2

● 49 × (3q-1) = 4

● 49 × 3q - 49 × 1 = 4

● 147q - 49 = 4

Add 49 to both sides

● 147q -49 +49 = 4+49

● 147q = 53

Divide both sides by 147

● 147q/147 = 53/147

● q = 53/ 147

Square both sides

● q^2 = 53^2 / 147^2

● q^2 = 2809/21609

■■■■■■■■■■■■■■■■■■■■■■■■■

● p+q^2 = 8 +(2809/21609)

● p+q^2 = (2809 + 8×21609)/21609

● p+q^2 = 175681 / 21609

● p + q^2 = 8.129

Round it to the nearest unit

● p+ q^2 = 8

76%

Step-by-step explanation:

76/100=

0.76

0.76*100=

76

76%

Answer:

If the new cereal box contains 20% more than the original cereal box, then the original cereal box contained 100% - 20% = 80% of the new cereal box.

Let X be the original cereal box amount in ounces, then we can set up the following equation:

X + 0.20X = 18.48

Simplifying and solving for X:

1.20X = 18.48

X = 15.40

Therefore, the original cereal box amount was 15.40 ounces.

The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.

We can use the conservation of momentum equation:

(mboat + mperson) * vboat = mperson * vperson

(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)

230 kg * vboat = 56 kg * (0.80 m/s + vperson)

vboat = (56/230) * (0.80 m/s + vperson)

vperson = 0.80 m/s + vboat

vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)

(174/115) * vperson = (504/115) * m/s

Dividing both sides by (174/115), we get:

vperson = 2.896 m/s

vboat = (56/230) * (0.80 m/s + vperson)

Substituting the value of vperson, we get:

vboat = 1.337 m/s

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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.

Answer:

A relationship in algebraic equation form is,

Step-by-step explanation:

Given the statement:

Cost per mile is calculated by dividing total cost by total miles.

Using the notation:

P represents the Cost per mile

C represents the total cost

M represents the total miles

"dividing" means

"dividing total cost(C) by total miles(M)" translated to

then;

Cost per mile(P) is calculated by:

Therefore, a relationship in algebraic equation form is,

Answer: 450 kcal

Step-by-step explanation:

So you know the food is 360 kcal per 1 cup

by setting up a proportion, you can relate the number of kcal to cups.

\(\frac{360 kcal}{1 cup} = \frac{?kcal}{(3/4 +1/2)cup} \\\\\)

we can simplify the fraction to this:

\(\frac{360 kcal}{1 cup} = \frac{?kcal}{(5/4)cup} \\\\\)

by cross multiplying you can solve the proportion

(360) * (5/4) = (?) * (1)

simplifying gets this:

450 = ?

so he ate 450 kcal total

Answer: 12=4c

Step-by-step explanation:

The required simplified value of c in the given expression is c = 3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The equation is the values of two expressions that are equal.

Here,
From the figure, we have to balance the equation,
So,
12 = c +c +c +c
4c = 12
c = 3

Thus, the required simplified value of c in the given expression is c = 3.

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The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

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Answer:

17.5

Step-by-step explanation:

You can find the mean of a data set by adding all numbers in the data set together and dividing by the amount of numbers in the given data set.

In this case, your data set is:

15 , 16 , 17 , 23 , 11 , 19 , 20 , 15 , 18 , 22 , 15 , 19   (12 numbers).

Firstly, add all the numbers together: \(15 + 16 + 17 + 23 + 11 + 19 + 20 + 15 + 18 + 22 + 15 + 19 = 210\)

Next, divide 210 (total sum) with the amount of terms in total (12):

\(\frac{(210)}{(12)} = 17.5\)

17.5 is already in the tenth digit place value, and so you do not need to round.

17.5 is your answer.

~

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Step-by-step explanation:

When the problem says 3f(x), it means that you are multiplying f(x) by 3. The same goes for 2g(x).

\(3(2x^2+8x-4)= 6x^2+24x-12\)

\(2(5x+6) = 10x+12\)

Now, we subtract f(x) from g(x) after being multiplied.

\((6x^2+24x-12)-(10x+12)\)

\(6x^2+14x-24\)

Answer:  -12

Step-by-step explanation:    x is -4 so -(-4) is positive 4. d = 3 so -3 = -3. -3x4 = -12.

Answer:

Step-by-step explanation:

r = 8.35 ft

area of circle = πr² = 69.7225π ft²

θ = 5π/9 radians

area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²

shaded region = 69.7225π - 26.51 ≅ 192.53 ft²

The area shaded region is found to be as 192.97 ft².

A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.

The centre of the circle does not lie on it.

The largest line segment that can be drawn inside a circle is its diameter.

For the given circle,

Radius is given as 8.35 ft.

And, the angle subtended by minor arc is 100°.

Then, the angle formed by major arc is 360 - 100 = 260°.

Noiw, the area of shaded region is given as below,

Area of the sector for major arc + Area of triangle

⇒ 260/360 × πr² + 1/2 × r²

Plug π = 3.14 and r = 8.35 to obtain,

⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²

⇒ 192.97 ft²

Hence, the area of the shaded region is obtained as 192.97 ft².

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Answer:

c = 40 degrees ; b = 100 degrees

Step-by-step explanation:

Since this is a isosceles triangle, sides WV and WU are the same length.

c = 40 degrees

There are 180 degrees in a triangle.

180 - 40 - 40 = 100

b = 100 degrees

I hope this helps!

Considering the graph of the curve shown if f(x) = 0 then the value of x is

The x-intercepts of the function's graph, or the zero of a function, is the location on a graph where the function's graph crosses the x-axis.

This is the solution of the graph. it also called the x intercept or the zero

Examining the graph, the points are in exact spot in both the negative and positive part of the x axis

This spot is between 1 and 2 and not up to half way while moving from 1 to 2.

The point can be estimated to be 1.4 hence the values are

(-1.4 0), (1.4, 0)

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Answer:

the first and second M is undefined because we have no information to make an equation