What is u?
70°
1100
U
100°
U =

Answer:

7

Step-by-step explanation:

\(5\frac{1}{2}=\frac{11}{2}=\frac{22}{4} \\ \\ \left \lfloor \frac{22/4}{3/4} \right \rfloor =\left \lfloor 22/3 \right \rfloor=7\)

Answer:

13 sec

Step-by-step explanation:

Prius' acceleration

  60 mi/hr = 88 ft s

accel = change  in v / change in time =  88 f/s  / 10.3 s = 8.54 ft / s^2

F = ma     =    2903 * 8.54 = 24802  lb ft/s^2

Now increase the mass to 4903 by adding a 2000 lb trailer  (which, by the way is way past the towing capacity of an anemic Prius !)

    F = ma

   24802 = 4903 a    shows a = 5.06 ft/s^2

  45 mi/hr = 66 ft/s

      a = change in v / change in time

      5.06 = 66 / 5.06 = 13 sec

Answer:

3 / 5x^6y^6

Step-by-step explanation:

= -9x^-1y^-9/-15x^5y^-3

= -9y-9 / -15x^6y^-3

= -9 / -15x^6y^6

= 3 / 5x^6y^6

Answer:

b on edge

Step-by-step explanation:

Hi there,

please see below for solution steps :

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

First let us revise the rounding rules before getting down to the process of rounding :

\(\sf{763.9 \ to \ the \ nearest \ whole \ number :}\\\hfill\stackrel{\small\text{add 1 }}{3^{+1}}.\\\hfill\stackrel{\small\text{drop it}}{9}}\)

\(\sf{763.9\approx764}\)

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

Answer:

x²- √3 x +1/2

Step-by-step explanation:

To write a quadratic equation with roots only:

x² -(sum of the roots)x+(product of roots)

x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)

x² -(2√3)/2 + ( 9-1)/4

x²- √3 x +1/2

Solution

For this case we can use the following formula:

where:

P= 200

r= 0.09

n = 4

t= 4

And solving we got:

No, they are not relatively prime.

Answer:

$4.161616 =

As a fraction

= $[(4 × 62500) + 10101]/62500

= $(260101/62500)

As a mixed number =

$\(4\frac{10101}{62500}\)

Step-by-step explanation:

Cost of making a computer component = $4.161616

= $4 + $0.161616

6 numbers after the decimal , hence

0.161616 × 1000000/1000000

= 161616/1000000

= 10101/62500

We are told in the question to write the repetiting decimal cost as a fraction and as a mixed number

$4 + $0.161616 = $4 + 10101/62500

As a fraction

= $[(4 × 62500) + 10101]/62500

=$260101/62500

As a mixed number = \($4\frac{10101}{62500}\)

Answer: A & D

Step-by-step explanation:

A & D both are correct

Answer:

Degree: 88

Leading coefficient: 1313

Leading term: 13 x^{8}13x

Step-by-step explanation:

im very smart

a) Entering this into a calculator gives us:CI = (63.876, 88.524) b) test for the population is between 63.876 and 88.524 c)  If the standard deviation of the test scores had been 42.8 instead of 21.4, the width of the confidence interval would increase. d) . If the confidence level were reduced to 90%, the interval would be narrower. e) If the sample size was increased to 75 subjects, the interval would be narrower.

a. To find a 95% confidence interval for the mean score on the test, we can use the formula:

To find the confidence interval, we need to estimate the population standard deviation with the sample standard deviation. So:

CI = 76.2 ± 1.96 * (21.4/√27)

Entering this into a calculator gives us:

CI = (63.876, 88.524)

b. The confidence interval we found tells us that we are 95% confident that the true mean score on the test for the population is between 63.876 and 88.524. In other words, if we were to take many random samples of 27 people and compute a 95% confidence interval for each one, then about 95% of those intervals would contain the true population mean.

c. If the standard deviation of the test scores had been 42.8 instead of 21.4, the width of the confidence interval would increase. This is because a larger standard deviation means that the data are more spread out, which makes it more difficult to estimate the population mean accurately.

d. If the confidence level were reduced to 90%, the interval would be narrower. This is because a higher confidence level requires a larger z-score, which widens the interval. Conversely, a lower confidence level requires a smaller z-score, which narrows the interval.

e. If the sample size was increased to 75 subjects, the interval would be narrower. This is because a larger sample size decreases the standard error (σ/√n), which makes it easier to estimate the population mean accurately and results in a narrower confidence interval.

For more such questions on standard deviation

https://brainly.com/question/475676

#SPJ11

Solution:

Given:

The sum of exterior angles of a polygon is 360°.

The formula for calculating the size of an exterior angle is;

Hence,

Therefore, the measure of each exterior angle of a regular polygon with 80 sides is 4.5 degrees.

Answer:

125 degree

Step-by-step explanation:

As m // n, so angle 2 and angle 6 is the same so angle 2 = 55 degree, then angle 1 + angle 2 = 180 degree, so angle 1 = 180 - 55 = 125 degree.

If it is helpful, please give me Brainliest.

The expression for the area of the rectangle is (5 + 4)t or 9t.

Options C and E are the correct answer.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

From the figure,

Length = 5 + 4

Width = t

Now,

The area of the rectangle.

= Length x Width

= (5 + 4) t

= 9t

Thus,

The area of the rectangle is (5 + 4)t or 9t.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

The confidence level with which this statement can be made is this: 90%

To determine the confidence level for the given measurements, we will first determine the z-score with the formula: z = (x − μ)/ σ

First;

z * 311./√50

= 727.5  -  582.5 /2

= 72.5

z score = 72.5 *√50/ 311.7

= 1.6447

But, Z ≤  1.6447 = 0.95, and,

Z >  1.6447 = 0.05

α/2 =  0.05

So, 1 - α = 0.09 or 90%.

Learn more about confidence intervals here:

https://brainly.com/question/15712887

#SPJ4

The light bulb consumes

To calculate how long 5520 watt-hours would last, we will use the formula below

Which can be converted as

Hence,

It will take 5 days and 18 hours to consume 5,520 watt-hours

Answer:

3. 40 4. 132

Step-by-step explanation:

you multiply the length and the width

Answer:

3. 40. 4. 132

Step-by-step explanation:

You find the area by doing base x height so 10 x 4 is 40 and 12 x 11 is 132.

Answer:

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2%  2.2/100 =0.022  

time t= 18years

by applying the expression

\(V = Pe^{rt}\)

We have

\(V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90\)

Hence after 18years the money in the account will be $430.90

Answer:

my brain just died sorry

Step-by-step explanation:

Answer:

x = 6

4x2−10x=84

Step 1: Subtract 84 from both sides.

4x2−10x−84=84−84

4x2−10x−84=0

Step 2: Factor left side of equation.

2(2x+7)(x−6)=0

Step 3: Set factors equal to 0.

2x+7=0 or x−6=0

x=

−7

2

or x=6

Answer:

\(6^{4}\)

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\)

note that 6 = \(6^{1}\) , then

\(\frac{6^{5} }{6}\) = \(6^{(5-1)}\) = \(6^{4}\)

Using it's concept, the probability that a student plays basketball or soccer is given as follows:

B. 7/10.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

P(A or B) is the probability that a student plays basketball or soccer, hence, from the Venn diagram:

Hence the probability P(A or B), that is, the probability that a student plays basketball or soccer, is given as follows:

p = 7/10.

Which means that option B is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

-5, view below for what Maureen did wrong.

Given:

   -1.2+(-3.8)

A positive times a negative is a negative:

   -1.2-3.8

Subtract:

   -5

   Instead of distributing the positive sign into the -3.8 and subtracting, Maureen added 1.2 to -3.8, leading to -2.6 instead of -5.

Answer:

Look down!!

Step-by-step explanation:

A construction company is building a fence that is 2/3 miles long.They can build 1/6 mile of the fence every hour. How many hours will it take them to complete the fence? You can draw a picture to represent the problem. You can also use a division equation: (2/3)/(1/6).Think: How many 1/6's are in (2/3) ?(2/3) / (1/6)=2/3*6/1=4 It will take 4 hours for the company to build the fence. Suppose the length of the fence was 1 1/3 miles.

Hope this helps!!

Answer:

m∠x = 119°

m∠y = 61°

m∠z = 119°

Step-by-step explanation:

Angle x:

Angle y:

Angle z:

-Chetan K

Answer:

Step-by-step explanation:

60 hours in a minute.

150/60=2.5 hours

hope this helps

We can calculate that 150 munites is equivalent to 2.5 hours using the conversion factors.

A conversion factor, or a formula that shows how the units relate to one another, can be used to change the units of a measured quantity without changing the value.

A conversion ratio (or unit factor) will always have a numerator and a denominator that are the same number expressed in different units (1).

One unit of measurement can be converted into another using conversion factors.

Changes from the company's single-entry accounting system to a double-entry one are part of the conversion process.

So, we already have the knowledge that:

60 min = 1 hour

Then,

150 min = 2.5 hours

Therefore, we can calculate that 150 munites is equivalent to 2.5 hours using the conversion factors.

Know more about conversion factors here:

brainly.com/question/97386

#SPJ4

Therefore, the probability of selecting a white or blue marble is approximately 0.3910 or 39.10% when rounded to four decimal places.

To find the probability of selecting a white or blue marble, we need to determine the total number of white and blue marbles and divide it by the total number of marbles in the box.

Total white and blue marbles = Number of white marbles + Number of blue marbles

= 58 + 3

= 61

Total number of marbles = Number of red marbles + Number of white marbles + Number of blue marbles

= 95 + 58 + 3

= 156

Probability = (Total white and blue marbles) / (Total number of marbles)

= 61 / 156

≈ 0.3910 (rounded to four decimal places)

To know more about probability,

https://brainly.com/question/29150997

#SPJ11

Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

Using the Subtraction Formula for Sine, and then simplifying, we get :  sin(x - π) - (-sin x) = 0.

The identity to be proven is

sin(x - π) + sin x.

Use the subtraction formula for sine, and then simplify.

Solution:

Using the subtraction formula for sine,

sin(x - π) can be expressed as sin x cos π - cos x sin π.

Substituting π = 180° in radians,

cos π = -1 and

sin π = 0,

sin(x - π) = sin x cos(180°) - cos x sin(180°)sin(x - π)

= sin x (-1) - cos x (0)sin(x - π)

= -sin x

Now, we substitute the above result in the given identity,

sin(x - π) - (-sin x).sin(x - π) - (-sin x) = -sin x + sin xsin (x - π) - (-sin x)

= 0

This completes the proof.

To know more about Subtraction visit :

brainly.com/question/12302401

#SPJ11

Answer:

Step-by-step explanation:

What's the answer?

Answer:

Step-by-step explanation:

Tgjh +=%##