[tex]7 {}^{ - 1 } \div 7 {}^{2} [/tex]
​

Answer:

128

Step-by-step explanation:

2x2x2x2x2x2x2 is 128

Answer:

B

Step-by-step explanation:

Answer:

It would be 4 hours and 22 minutes because from 1 to 5 would be 4 hours and then 22 because of the 44 so ur answer would be 4 hours and 22 minutes.

Step-by-step explanation:

Answer:

262 minutes

Step-by-step explanation:

4 hours and 22 minutes difference in time

4x60=240

240+22=262 minutes

Answer:

The approximate probability that there are fewer than 100 accidents in a year = .9251

Step-by-step explanation:

Given -

Mean [tex](\nu )[/tex] =2.2

Standard deviation [tex]\sigma[/tex] = 1.4

Let [tex]\overline{X}[/tex]  be the mean number of accidents per week at the intersection during a year (52 weeks)

Then [tex]\overline{X}[/tex] = [tex]\frac{100}{52}[/tex] = 1.92

the approximate probability that there are fewer than 1.92 accidents per week  in a year

[Z   = [tex]\frac{\overline{X} - \nu }{\frac{\sigma}{\sqrt{n}}}[/tex] ]

=  [tex]P(\overline{X} < 1.92 )[/tex]  = ([tex]P(\frac{\overline{X} - \nu }{\frac{\sigma}{\sqrt{n}}}< \frac{1.92 - 2.2 }{\frac{1.4}{\sqrt{52}}})[/tex]

 = P( [tex]Z < -1.442[/tex] )   ( Using Z table)

=  .9251

Answer:

The bridge's height above the water is 130 feets.

Step-by-step explanation:

A rock is thrown upward from a bridge into a river below :

[tex]h(t)=-16t^2+41t+130[/tex]

Here t is time in seconds

It is required to find the bridge's height above the water. When it reaches the height of the rock above the surface of the water, then :

h(t) = 0

[tex]f(0)=-16t^2+41t+130\\\\f(0)=-16(0)^2+41(0))+130\\\\f(0)=130\ ft[/tex]

So, the bridge's height above the water is 130 feets.

After rotating the point A(-5, 1) counterclockwise by 90 degrees, its new coordinates become (-1, -5).

When a point or shape is rotated counterclockwise by 90 degrees about the origin, its coordinates are transformed using the following rule:

For a point (x, y), the new coordinates after a 90-degree counterclockwise rotation are (-y, x).

Let's apply this rule to the point A(-5, 1):

Original coordinates of A: (x, y) = (-5, 1)

New coordinates after rotation: (-y, x) = (-(1), -5) = (-1, -5)

So, after rotating the point A(-5, 1) counterclockwise by 90 degrees, its new coordinates become (-1, -5).

This rotation swaps the x and y coordinates while changing the sign of the new x-coordinate. This transformation corresponds to a 90-degree counterclockwise rotation around the origin.

Learn more about transformation here

https://brainly.com/question/29367807

#SPJ3

The new coordinate of A (-5, 1) after rotation will be (1, 5).

When a point is rotated 90 degrees counterclockwise around the origin in the coordinate plane, the rule for the transformation is (x, y) → (-y, x). This means that each point (x, y) will move to the position (-y, x).

Given the point A at coordinates (-5, 1), applying the rotation rule:

The new coordinate of A (-5, 1) after rotation will be (1, 5).

Answer:

Yes. They are Right Triangles

Step-by-step explanation:

To determine if the triangles are right triangles, all you need to do is verify whether or not the dimensions satisfy the Pythagoras Theorem.

Pythagoras Theorem:[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

Note that in a right triangle, the longest side is always the hypotenuse.

Given the length of the sides 1.5 feet, 2.0 feet, 2.5 feet

[tex]2.5^2=1.5^2+2.0^2\\6.25=2.25+4\\6.25=6.25[/tex]

Since the Pythagoras theorem holds, the triangles are in fact right triangles.

Answer:

93.5 inches

Step-by-step explanation:

Length times width

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

Let [tex]\hat p[/tex] = sample proportion

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

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

where, [tex]\hat p[/tex] = sample proportion

           p = population proportion = 48%

           n = sample of voters = 500

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be greater than 0.5 is given by = P( [tex]\hat p[/tex] > 0.50)

  P( [tex]\hat p[/tex] > 0.50) = P( [tex]\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]\frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } }[/tex] ) = P(Z < 0.89) = 0.8133

Now, in the z table the P(Z [tex]\leq[/tex] x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

Answer:

incorrect because the square area would be 440

Step-by-step explanation:

Answer:

He is incorrect. The path will have an area of (4) (40) = 160 sq ft. The yard has an area of 600 sq ft. The area of the lawn will be the difference of the yard and path, so it is 440 sq ft.

Step-by-step explanation:

Answer:

The volume of this prism is 64 mililmeters cubed.

Step-by-step explanation:

What is the volume of the right rectangular prism with a length of 2 millimeters, a width of 4 millimeters, and a height of 8 millimeters?

The volume of this prism can be calculated as:

[tex]V=l\cdot w \cdot h\\\\V=2\cdot 4\cdot 8=64[/tex]

The volume of this prism is 64 mililmeters cubed.

Answer:

D

Step-by-step explanation:

Sorry if it's wrong.

Answer:

0.0217391304

Step-by-step explanation:

Answer:

1/46 gallons per mile

Step-by-step explanation:

Take the gallons used and divide by the number of miles driven  

5 gallons /230 miles

1/46 gallons per mile

Answer:

The number = 5

Step-by-step explanation:

Let the number be x

[tex]\frac{2+x}{3-2x}=-1\\\\2+x=-1*(3-2x)\\\\2+x=(-1)*3-(-1)*2x\\\\2+x=-3+2x\\\\x=-3+2x-2\\\\x-2x=-5\\\\-x=-5\\\\x=5[/tex]

Answer:

90

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3x4=12

Answer:

1. Airspeed = 201.17 mph

2. Bearing  = 358.93⁰

Step-by-step explanation:

Given Data:

d = 700 mi

t = 3.5 hrs

speed of wind Vx = 10 mph

velocity of plane Vy = d/t

                                  = 700/3.5

                                  = 200 mph

1. Air speed (V) is calculated using the formula;

V² = V²x + V²y -2*Vx *Vy*cos∝

But ∝ = 338 - 180 = 158°

Substituting into the equation, we have

V² = 10² + 200² - 2*10*200*Cos 158

    = 40100 - 400 *(-0.92718)

    = 40100 + 370.872

 V²   = 40470.872

V = √40470.872

V = 201.17 mph

2. calculating the bearing using cosine rule, we have;

sin∅/Vx = sin∝/V

sin∅/10 = sin158/201.17

sin∅ = 10*sin 158/201.17

        = 3.746/201.17

       = 0.0186

∅ = sin⁻¹ 0.0186

   = 1.07

Therefore,

Bearing = 360 - 1.07

              = 358.93⁰

The airspeed is 201.17 mph and bearing is [tex]358.93^\circ[/tex] and this can be determined by using the vector form of velocity.

Given :

Plane to fly 700 miles due north in 3.5 hours if the wind is blowing from a direction of 338 degrees at 10 ​mph.

To determine the airspeed the following formula can be used.

[tex]\rm V^2 = V^2_x +V^2_y-2V_xV_y cos \theta[/tex]    ---- (1)

where, [tex]\theta = 338-180 = 158^\circ[/tex], [tex]\rm V_y[/tex] is the velocity of the plane and [tex]\rm V_x[/tex] is the velocity of the wind.

Now, put the value of [tex]\rm V_y[/tex], [tex]\rm V_x[/tex] and [tex]\theta[/tex] in the equation (1).

[tex]\rm V^2 = 10^2+200^2+2\times 10\times 200\times cos158[/tex]

[tex]\rm V^2= 100 + 40000+4000(-0.9271)[/tex]

V = 201.17 mph

Now, using cosine rule:

[tex]\rm \dfrac{sin \alpha}{V_x}=\dfrac{sin \theta }{V}[/tex]

[tex]\rm \dfrac{sin\alpha }{10}=\dfrac{sin158}{201.17}[/tex]

[tex]\rm sin\alpha =10\times \dfrac{sin158}{201.17}[/tex]

[tex]\rm sin \alpha = \dfrac{3.746}{201.17}[/tex]

[tex]\rm sin\alpha =0.0186[/tex]

[tex]\alpha = 1.07^\circ[/tex]

Therefore, the bearing is given by 360 - 13.07 = [tex]358.93^\circ[/tex]

For more information, refer to the link given below:

https://brainly.com/question/24376522

Answer: n=3

Step-by-step explanation: 5n+3=18

18-3=15

15/5=3

Answer:

Step-by-step explanation:

5n +3 =18

5n = 18- 3

5n = 15

Dividing through with 5

n =15/5

n = 3

The function for the amount of chlorine in the tank as a function of time is [tex]y(t) = \left(\frac{20}{1000^{\frac{5}{3}}} \right) (1000 - 15t)^{\frac{5}{3}}[/tex].

Let y(t) be the amount of chlorine in grams in the tank at time t seconds. The initial amount of chlorine is given by the concentration of chlorine times the volume of the tank: y(0) = 0.02 g/L * 1000 L = 20 grams.

The tank has a mixture being pumped out at a rate of 25 L/s, and fresh water is being pumped in at a rate of 10 L/s. The change in the volume of the tank per second is -15 L/s (since more is being pumped out than in).

The rate of change of the amount of chlorine in the tank, dy/dt, can be described as the rate of chlorine leaving the tank minus the rate of chlorine entering the tank. Fresh water has 0 g/L concentration, so the rate of chlorine entering the tank is 0. Chlorine is leaving the tank with the water at a rate proportional to the concentration of chlorine in the tank.

The volume of water in the tank at any time t can be written as V(t) = 1000 - 15t. The concentration of chlorine in the tank at any time is y(t) / V(t). Therefore, the rate of chlorine leaving the tank is:

[tex]\frac{dy}{dt} = - \left(\frac{25y}{V(t)}\right)[/tex]

Substitute V(t) into the equation:

[tex]\frac{dy}{dt} = - \left(\frac{25y}{1000 - 15t}\right)[/tex]

This is a separable differential equation. We can solve it by separating variables and integrating both sides.

[tex]\frac{dy}{y} = - \frac{25}{1000 - 15t} dt[/tex]

Integrate both sides:

[tex]\int \frac{1}{y} dy = -25 \int \frac{1}{1000 - 15t} dt[/tex]

The integral of [tex]\frac{1}{y}[/tex] is[tex]\ln|y|,[/tex] and the integral of [tex]\frac{1}{1000 - 15t}[/tex] can be found using a substitution method. Let u = 1000 - 15t, then du = -15 dt, or [tex]dt = -\frac{1}{15}[/tex] du.

[tex]\int \frac{1}{1000 - 15t} dt = - \frac{1}{15} \int \frac{1}{u} du = - \frac{1}{15} \ln|u| = - \frac{1}{15} \ln|1000 - 15t|[/tex]

Putting it all together:

[tex]\ln|y| = \frac{25}{15} \ln|1000 - 15t| + C[/tex]

Simplify further:

[tex]\ln|y| = \frac{5}{3} \ln|1000 - 15t| + C[/tex]

Exponentiate both sides to solve for y:

[tex]y = e^{\frac{5}{3} \ln|1000 - 15t| + C} = e^C (1000 - 15t)^{\frac{5}{3}}[/tex]

Let K = [tex]e^C[/tex]. Then:

[tex]y(t) = K(1000 - 15t)^{\frac{5}{3}}[/tex]

Using the initial condition y(0) = 20:

[tex]20 = K 1000^{\frac{5}{3}}[/tex]

Solve for K:

[tex]K = 20 / 1000^{\frac{5}{3}}[/tex]

This equation describes the amount of chlorine in the tank over time, taking into account the rates at which water is pumped in and out.

Answer:

288

Step-by-step explanation:

2/x = 576

you have to make the x by itself so you would have to multiply 1/2 to 2/x for the first part

then you would carry the 1/2 over to 576 and multiply that by 1/2

the answer would become x = 288

Answer:

1/288

Step-by-step explanation:

[tex]\frac{2}{x} = 576[/tex]

Multiply both sides by x to get rid of the fraction.

2 = 576x

Divide to get x by itself.

2 / 576 = .00347222222

Also = 1/288

Answer:

1a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find attach the solution

Answer:

A. 191.54 ft²

B. $2011.17

Step-by-step explanation:

Part A involves multiplying to find the area of the living room using the formula to find the area of a rectangle.

A = b*h (original formula)

A = 15.7*12.2 (substitute values)

A = 191.54 (multiply)

The area of his living room is 191.54 ft²

Next, you need to multiply the number of ft² by the cost per ft² to find the cost to tile the living room

Cost = $10.50*191.54 (equation)

Cost = $2011.17 (multiply)

The total cost of tiling the living room would be $2011.17

Answer:

Step-by-step explanation:

Answer:

A decimal number can be divided in a decimal part, a whole part and the decimal point which separates the first two.

So, all numbers that are placed leftside of the decimal point can be classified in units, tens, hundreds, thousands, and so on. Basically, each value depends on a base of 10. This means that thousands are ten times more than hundreds, hundreds are ten times more than tens, tens are ten times more than units.

If we want to a specific value of the whole part in a decimal number, we just need to look units, tens, hundreds, thousands or millions.

For example, if we have the number 1235.8456, the whole part would be 1235, and the value of the numbers that are leftside of the decimal point is 1235 units.

Answer:

The name of the numbers that go to the left of the decimal point is INTEGERS. This is the whole number part of the decimal number.

Step-by-step explanation:

The english translation is

What is the name of the numbers that go to the left of the decimal point?

A number with decimal numbers has 3 parts.

- The whole number part that are to the left of the decimal point. This whole number part is called the INTEGER part.

- The decimal point. The decimal point separates the whole numbers part of the number on the left and the mantissa part that has numbers to the right of the decimal point.

- The numbers to the right of the decimal point constitute a value less than 1. This part of a decimal is called the MANTISSA.

Hope this Helps!!!

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

(9+11)/2 = 10

Answer:

y=-6

Step-by-step explanation:

Divide -11 by 66 to isolate y to get 6

Answer:

the answer is y=-6

Step-by-step explanation:

you are welcome

Answer:

The given question is:

"Mention the role of the comma in the sequence: - Well, what do you say?"

The role of the comma is to indicate a separation between words to make a specific sense of the statement.

Actually, the official function of commas is to separate words, ideas, phrases to prevent a misreading, and to give a specific signification so readers won't capture the intended sense.

Answer:

I did the question and the answer is b and e

Step-by-step explanation:

Or 4 in and 12 cubic yards

Answer:

list all the statistics

Step-by-step explanation:

The surface area of the given pyramid is [tex]2124112 m^{2}[/tex].

"The surface area of a pyramid is a measure of the total area that is occupied by all its faces."

The base of the square pyramid is 230 meters by 230 meters.

Therefore, the base area of the pyramid is

[tex]= (230)^{2} m^{2} \\= 52900 m^{2}[/tex]

The perimeter of the base

[tex]= 4(230) m\\=920 m[/tex]

Therefore, the lateral surface area of the pyramid

[tex]= \frac{1}{2}[/tex] × perimeter × slant height

[tex]= \frac{1}{2}(920)(187) m^{2} \\= 2071212 m^{2}[/tex]

Therefore, the surface area of the pyramid is

= Base area + lateral surface area

[tex]= (52900 + 2071212)m^{2} \\= 2124112 m^{2}[/tex]

Learn more about the surface area of a pyramid here: https://brainly.com/question/1503383

#SPJ2

The length of the curve defined by the parametric equations x = 1 + 9t^2 and y = 2 + 6t^3 for t ranging from 0 to 2 can be found using the formula for the length of a curve defined by parametric equations. First, compute the derivatives of x and y with respect to t and then integrate the square root of the sum of their squares from t = 0 to t = 2.

Given the parametric equations x = 1 + 9t2 and y = 2 + 6t3, with t ranging from 0 to 2, we can find the length of the curve using the formula for the length of a curve defined by parametric equations.

The formula is: Length = ∫ab sqrt[(dx/dt)2 + (dy/dt)2] dt where dx/dt and dy/dt are the derivatives of x and y with respect to t.

We first find the derivatives dx/dt = 18t and dy/dt = 18t2. Then, we square these, add them together and take the square root to get √[324t2 + 324t4].

Finally, we integrate this from t = 0 to t = 2 to find the length of the curve. As a hint for the integration part, you can use the formula for the integral of tn, which is (tn+1)/(n+1).

https://brainly.com/question/31696923

#SPJ3