A cyclist starts from the point si = (7, 7, 4) at t = 0 and moves with a constant velocity of v → =(4, 5, 5) and cyclist motion can be depicted by the expression, s = si + vt which gives position vector of cyclist. Determine the distance travelled by the cyclist between t = 4 s and t = 23 s. (Distance is in meters)
A. 154.36 m
B. 157.36 m
C. 152.36 m
D. 155.36 m

Answer:66.3

Step-by-step explanation:

Answer:

∠1 and ∠6

Step-by-step explanation:

Supplementary angles are two or more angles added together make 90°.

Right angles indicated by the small square at the corners.

∠2 and ∠5 are right angles.

So, any pair with ∠2 and ∠5 are not supplementary.

The only pair of angles that are not associated with ∠2 and ∠5 is: ∠1 and ∠6.

Answer:

The mean of K is 180 calories.

Step-by-step explanation:

Mean of a sum of normal distribution:

The mean of a sum of normal distributions is the sums of the mean.

In this question:

Lunch:

One ounce of chicken sandwich, with mean 110 calories.

Half a cup of lemonade, with mean 140/2 = 70 calories.

Let K be the random variable that represents the total number of calories in this lunch. The mean of K is

110 + 70 = 180 calories

The mean of K is 180 calories.

Answer:

45 teaspoons of baking powder

Step-by-step explanation:

Let x = amt of baking powder needed.

2/240 = x/540

240x = 1080

x = 45 teaspoons of baking powder

Answer:

A) x, y turns into -x, -y

B) x, y turns into -y, x

Step-by-step explanation:

Angle 6 is only equal to angle 2 if the lines are parallel. The horizontal line is being intersected by two lines, if they are parallel then <6 = <2. They are equal because the horizontal line is straight, meaning anything crossing it that are parallel wil creat equal angles

Answer:

sln

-6+w/4=-2

w/4=-2+6

w/4=4

w=4x4

w=16

Step-by-step explanation:

anewer is 30 cubic inches.

Answer:solutions, search about Complex Numbers

Step-by-step explanation:−2||=−6

−

2

|

x

|

=

−

6

||=−6−2=3

|

x

|

=

−

6

−

2

=

3

The value inside the absolute value brackets could be positive or negative and give a positive result.

()=3

(

x

)

=

3

 OR  −()=3

−

(

x

)

=

3

=3

x

=

3

 OR  =−3

x

=

−

3

On a number line, that would translate to a number line with two dots on it, one at -3 and one at +3.

x equal to 24 and it c

There are 310 bacteria are present after 10 hours.

The first is the correct option.

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

Given:

The population of a bacterial culture grows at a rate of 4.5% every hour.

If there were 200 bacteria at the start,

then the number of bacteria after 10 hours are,

y = 200(1 + 0.045)¹⁰

y = 310.6

Therefore, 310.6 bacteria are present after 10 hours.

To learn more about the exponential growth;

https://brainly.com/question/12490064

#SPJ2

Answer:

I know the mixed number will be 1 because u subtracts that's all I know and just subtracts the fractions ok sorry

Answer:

[tex]6\frac{7}{10}x + 9[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]3(\frac{7}{5}x + 4)-2(\frac{3}{2}-\frac{5}{4}x)[/tex]

[tex](3*\frac{7}{5}x) + (3 * 4) + (-2 * \frac{3}{2}) + (-2 * -\frac{5}{4}x)[/tex]

[tex]\frac{21}{5}x + 12 + \frac{-6}{2} + \frac{10}{4}x[/tex]

Step 2:  Combine Like Terms

[tex]12 - 3 + \frac{21}{5}x + \frac{5}{2}x[/tex]

[tex]9 + (\frac{21*2}{5*2}x + \frac{5*5}{2*5})[/tex]

[tex]9+(\frac{42}{10}x + \frac{25}{10}x)[/tex]

[tex]9+\frac{67}{10}x[/tex]

[tex]6\frac{7}{10}x + 9[/tex]

Answer:  [tex]6\frac{7}{10}x + 9[/tex]

Please let me know if you need to make it more clear!  :)

Answer:

if b²=256

then b=16

....................

Answer:128

Step-by-step explanation:

bsqured=256 squre root. b=256÷2. =128

Answer:

225

Step-by-step explanation:

1275 / 5 = 225

I know this because five can go into the 1275 225 times

Answer:255

Step-by-step explanation:

I’m not completely sure what your asking but 1275 divided by 5 is 255

Answer:

24

Step-by-step explanation:

m × n = 3m - n ÷ 2

6 × (3 × 1)

6 × 4

24

Answer:

The answer is j+15.

Step-by-step explanation:

4j-3j+15

=j+15

Answer:

532.79yards²

Step-by-step explanation:

Surface area of a pyramid = A + 1/Ph

A is the base area

P is the perimeter of the base

h is the height of the pyramid

Given the following

Height of triangular base = 17.3yards

Base of the triangle = 20yards

Height of prism = 12yards

Base Area = 1/2 × 20×17.3

Base Area = 10×17.3

Base Area = 173yd²

For the Perimeter P

Get the slant height using Pythagoras theorem

s² = (20/2)²+17.3²

s² = 10²+17.3²

s² = 100+299.29

s² = 399.29

s = √399.29

s = 19.98

Perimeter = 19.98+19.98+20

Perimeter = 59.96yards

Substitute

Surface Area = 173+1/2((59.96)(12)

Surface Area = 173+6(59.96)

Surface Area = 173+359.79

Surface Area = 532.79yards²

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot.

I would suggest calculator soup they have a trigonometric function calculator

And here is how to solve trigonometric function,

Put the equation in terms of one function of one angle.

Write the equation as one trig function of an angle equals a constant.

Write down the possible value(s) for the angle.

If necessary, solve for the variable.

Answer:

C. 99 yd^2

Step-by-step explanation:

The formula for solving for area of a triangle is 1/2*b*h.

18*11=198

198/2=99

Answer:

4x + 5 y = 15

Step-by-step explanation:

Answer:

70 = 7 x 5 x2 x 1. When asked to find out the total number of factors of 70, you have to write down all the multiples of 70 such as, Factors of 70 are: 1, 2, 5,7,14, 10, 35 and 70 = 8 factors.

Answer:

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

Step-by-step explanation:

If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.

Answer:

The equation 15 - 3 = x will help solve for x.

x = 12

Step-by-step explanation:

15 - 3 = 12

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

x = 15 - 3

Step-by-step explanation:

We need to isolate the variable for this. Simply subtract by 3 to get the equation.

x + 3 = 15

   -  3    - 3

x = 15 - 3

the real answer would be 12, if you need that.

Answer:

Slope: -1

Step-by-step explanation:

(0, -2) and (1, -3)

m= (y2-y1)/(x2-x1)

m= (-3+2)/(1-0)

m= (-1)/(1)

m = -1

Answer:

trust your instincts

Step-by-step explanation:

im on a chalnge i will let you decide your destiny on your own

Answer:

The area is 0.0316

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X

Find the area under the standard normal curve that lies outside the interval between z = -2.16 and z = 2.14

Below z = -2.16 or Above z = 2.14

Below z = -2.16

z = -2.16 has a pvalue of 0.0154, which means that this area is 0.0154

Above z = 2.14

z = 2.14 has a pvalue of 0.9838, which means that this area is 1 - 0.9838 = 0.0162

Total:

0.0154 + 0.0162 = ​0.0316

The area is 0.0316

Answer:

$140

Step-by-step explanation:

2 diveded by 40 is 20. 20 multiplied by 7 is 140.

Answer:

$140

Step-by-step explanation:

1 cake = $20

7 cakes * $20 per cake

= $140

Answer: 14x,4+4x ^2-3x

Step-by-step explanation:

1. Simplify  6x\times 26x×2  to  12x12x.

2x+12x,10+4{x}^{2}-3x-6

2x+12x,10+4x  

2

−3x−6

2 Simplify  2x+12x2x+12x  to  14x14x.

14x,10+4{x}^{2}-3x-6

14x,10+4x  

2

−3x−6

3 Collect like terms.

14x,((10-6)+4{x}^{2}-3x)

14x,((10−6)+4x  

2

−3x)

4 Simplify  (10-6)+4{x}^{2}-3x(10−6)+4x  

2

−3x  to  4+4{x}^{2}-3x4+4x  

2

−3x) Hope that helps

Answer:

28

Step-by-step explanation:

7x=196

divide by 7

x=28

Answer:

28

Step-by-step explanation:

7x=196

divide by 7

X = 28