Sarah walked ½ mile yesterday morning and ¾ mile yesterday afternoon. What was the total distance walked by Sarah?

Answer:

a + b = ⟨-4, -9, 0⟩

a - b = ⟨6, 1, 4⟩

2a = ⟨2, -8, 4⟩

3a + 4b = ⟨-17, -32, -2⟩

|a| = √21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Vectors

Step-by-step explanation:

Adding and subtracting vectors are follow the similar pattern of normal order of operations:

a + b = ⟨1 - 5, -4 - 5, 2 - 2⟩ = ⟨-4, -9, 0⟩

a - b = ⟨1 + 5, -4 + 5, 2 + 2⟩ = ⟨6, 1, 4⟩

Scalar multiplication multiplies each component:

2a = ⟨2(1), 2(-4), 2(2)⟩ = ⟨2, -8, 4⟩

Remember to multiply in the scalar before doing basic operations:

3a + 4b = ⟨3(1), 3(-4), 3(2)⟩ + ⟨4(-5), 4(-5), 4(-2)⟩ = ⟨3, -12, 6⟩ + ⟨-20, -20, -8⟩ = ⟨-17, -32, -2⟩

Absolute values surrounding a vector signifies magnitude of a vector. Follow the formula:

|a| = √[1² + (-4)² + 2²] = √21

[tex] \frac{{3}^{2} \times {5}^{5} \times {3}^{3} \times {5}^{3} }{ {3}^{4} \times {3}^{4} } \\ = \frac{ {3}^{5} \times {5}^{8} }{ {3}^{8} } \\ = \frac{ {5}^{8} }{ {3}^{3} } \\ = \frac{390625}{27} \\ = 14467.592592......[/tex]

This is the solution.

Answer:

9.6

Step-by-step explanation:

20 divided by 25 = 0.8

Then, 0.8 times 12 = 9.6

I bet that helped! :D

Answer:

The correct answer is - 97.74%.

Step-by-step explanation:

Given:

sample mean = 281

Std Dev = 47 ==> Sample

Std Dev (s) = std dev/sqrt(n) = 6.0677

Solution:

Find : P( x > 268 )

z = ( x - u )/s = ( 268 - 281 )/6.0677

= -1.9558

then, P( x > 270) = P( Z > -1.9558)

= P( Z <1.9558)

= 0.9747

change into percentage:

= 97.471%

Answer:

The graph is given below.

Step-by-step explanation:

X intercept = - 2

slope, m = 3

The point t which the line intersects the X axis is (-2 , 0) .  

The equation of line passing through a point and the slope is given

y - y' = m (x - x')

y - 0 = 3 (x + 2)

y = 3 x + 6

So, the graph is given below.

Compare by y = m x + c .

here y intercept is 6 .  

Answer:

78 yards

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)

346 = 2(95+w)

Divide each side by 2

346/2 = 2/2(95+w)

173 = 95+w

Subtract 95 from each side

173-95 = 95+w-95

78 = w

Answer:

D

Step-by-step explanation:

(x^2+3)(x-5)

That's the answer

Answer:

[tex]C=\pi d\\\\d=\frac{C}{\pi }[/tex]

Make d the subject:

C = πd

C/π = d

Your answer: d = C/π

Answer:

A.

Step-by-step explanation:

π/4 radians = 45°

In a 45-45-90 degree angle, the ratio of the lengths of the sides is

1 : 1 : √2

x = y = 1/√2

x = y = √2/2

Answer: A.

Answer:

A

Step-by-step explanation:

π/4 rad is 45°

cos 45° and sin 45° are both equal to (√2 / 2)

If you're curious, cos delta = x-coordinate while sin delta = y-coordinate

Answer:

y = 2x - 7

Step-by-step explanation:

Parallel lines have the same slope so only the y-intercept is different. Therefore nothing is changed between the two equations except the y-intercept is -7.

Answer:

this mean amount of coffee to be dispensed would be 11.99, approximately 12

Step-by-step explanation:

first of all we have this information available to answer this question.

standard deviation σ = 0.006 ounces

prob(x > 12) = 0.04

we use this formular to find the mean

z = x - μ/σ

 the value of the z score at 4% is equal to 1.7507

such that

[tex]1.7507 = \frac{12-u}{0.006}[/tex]

we cross multiply from this stage

1.7507*0.006 = 12-μ

0.0105042 = 12-μ

μ = 12 - 0.0105042

herefore, the mean amount μ = 11.99 this can be approximated to 12

Answer:

72.47

Step-by-step explanation:

FV cos 43 = TV

FV (0.73135370161 ) = 53

FV = 72.468 = 72.47

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{TV}{FV}[/tex] = [tex]\frac{53}{FV}[/tex] ( multiply both sides by FV )

FV × cos43° = 53 ( divide both sides by cos43° )

FV = [tex]\frac{53}{cos43}[/tex] ≈ 72.47 ( to 2 dec. places )

Answer:

-6m² - 16mw + 5w²

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(-10m² - 11mw - 7w²) - (-4m² + 5mw - 12w²)

Step 2: Simplify

Answer:

-6m² - 16mw + 5w²

Step-by-step explanation:

(−10m2−11mw−7w2)−(−4m2+5mw−12w2)=−10m2−11mw−7w2+4m2−5mw+12w2

Use the commutative property to bring the like terms together and simplify.

−10m2−11mw−7w2+4m2−5mw+12w2=−10m2+4m2−11mw−5mw−7w2+12w2=−6m2−16mw+5w2

Answer

Attach a file for us to see the problem

Step-by-step explanation:

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

[tex]\large\text{When you hear/see the word of in mathematics, it usually means }\\\large\text{\bf multiplication. }[/tex]

[tex]\large\text{So, when you think of think of the word \underline{of} think of its asking you to}\\\large\text{\bf multiply }[/tex]

[tex]\large\text{Now that we got that run down out of the way lets answer your given}\\\large\text{question}[/tex]

[tex]\large\textsf{0.25\% of 2,000}[/tex]

[tex]\large\textsf{= 0.25\%} \times \large\textsf{2,000}[/tex]

[tex]\large\textsf{0.25\%} = \mathsf{\bf \dfrac{25}{100}}[/tex]

[tex]\mathsf{= \dfrac{25}{100} \times 2,000}[/tex]

[tex]\mathsf{\dfrac{25}{100}= \bf 0.0025}[/tex]

[tex]\large\textsf{= 0.0025} \times \large\textsf{2,000}[/tex]

[tex]\large\text{= \bf 5}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 5}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Honda : 16,000

each year depreciates 8% from 100% so will be left with 100-8 =92% or 0.92

in 5 years : 16,000* 0.92^5 ≈ $10,545.30

in 10 years : 16,000* 0.92^10 ≈ $6,950.22

Kia : $12,000

each year depreciates 12 % from 100% so will be left with 100-12 =88% or 0.88

in 5 years : 12,000* 0.88^5 ≈ $6,332.78

in 10 years : 12,000* 0.88^10 ≈ $3,342.01

Jess should buy the Honda if wants to use it for 5 years or less because although is more expensive than Kia, it depreciates less in 5 years.

In 5 years the difference in depreciation is 10,545.30 -6,332.78= $ 4,212.52 this is greater that the difference in the actual price 16,000-12,000 =$ 4,000

Jess should buy the Kia if wants to use the car for 10 years or more because Kia will depreciates less than Honda in 10 years.

In 10 years the difference in depreciation is 6,950.22 -3,342.01 =$ 3, 608.21 this is lower that the difference in the actual price 16,000-12,000 =$ 4,000

Answer:

Choice A.

[tex]y = - {2}^{x} + 4[/tex]

Step-by-step explanation:

Use graphing calculator

Answer:

Choice A.

Step-by-step explanation:

Answer:

1^1 + 0^1 =1

Step-by-step explanation:

sin^2 theta + cos^2 theta = 1

sin^2 (pi/2)   + cos^2  (pi/2)  =1

1^1 + 0^1 =1

The [tex]\pm[/tex] symbol means "plus minus".

Writing [tex]1.5 \pm 0.85[/tex] is the same as saying [tex]1.5 + 0.85\ \text{ or } \ 1.5 - 0.85[/tex]

The lower bound, or left endpoint, is 1.5 - 0.85 = 0.65

The upper bound, or right endpoint, is 1.5 + 0.85 = 2.35

Based on what you have, it looks like you probably followed those steps. However, you have the items in the wrong order. You should have 0.65 listed first and 2.35 listed last. Also, you need to have "or equal to" as part of the inequality sign.

So you should have [tex]0.65 \le x \le 2.35[/tex]

As for your graph, you have the endpoints in the wrong spot.

The left endpoint should be between the 0.6 and 0.7 to indicate 0.65

The right endpoint should be between 2.3 and 2.4 to indicate 2.35

See the diagram below.

Answer:

π×64×4=804.25

Step-by-step explanation:

Formula of cylinder is π×square of radius×height

Answer:

803.8

Step-by-step explanation:

it's 3.14×8×8×4 which would give you 803.84 and then you round which would give you 803.8

Answer:

Tedyxhcj eydyfhxrstetdhsawe

Answer:

(−14.850850 ; 0.565135)

Step-by-step explanation:

Confidence interval :

Xd ± Tcritical * Sd/√n

Population 1 :30 35 23 22 28 39 21

Population 2 : 45 49 15 34 20 49 36

d = -15,-14,8,-12,8,-10,-15

The mean of d, Xd = Σx / n = - 7.14285714

The standard deviation of the difference, Sd = 10.4948967 (using calculator)

Sample size, n = 7

Tcritical at 90%, df = 7 - 1 = 6

Tcritical = 1.943176

Confidence interval :

- 7.14285714 ± 1.943176 * 10.4948967/√7

Confidence interval :

- 7.14285714 ± 7.7079925

(−14.850850 ; 0.565135)

Answer:

A. 32.44

Step-by-step explanation:

Automobile owner has 40% chance for one accident in a year and 60% of zero accident in a year.

Let x is the loss of accident and y is the payment by insurer.

Y = 0 if X < 40,

x - 40 if 40 < x < 130

130 if x [tex]\geq[/tex] 170

Then, Var [y] = E y^2

Var [y] = 1052.16

E = 32.437.

Answer:

this is the answer

Step-by-step explanation:

thank you

Answer:

-196/4 = -49

Step-by-step explanation:

Mental math. If you can't do that then use a calculator. It's faster to type it in on g oogle

Answer:

D

Step-by-step explanation:

Assuming that the expression is referring to sin²(2πft) and not sin²(2)πft, we can solve as follows:

One trigonometric identity states that sin²x+cos²x = 1. We want to express this in terms of cos²x, so we need to solve for sin²x. Subtracting cos²x from both sides, we get 1-cos²x = sin²x. Plugging (2πft) for x, we get

1-cos²(2πft) = sin²(2πft)

We can plug that into our equation to get

P = I₀²R(1-cos²(2πft)), or D

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Website 1 : 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 377999 / 36 = 10499.9722

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 1 :), s = 110.239865

Website 2 : 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 395197 / 36 = 10977.6944

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 2), s = 132.617995

2.)

Yes, the viewership between the two websites are different with the second website has a higher mean viewership with a mean of 10977.6944.

3.)

The probability of 12000 views per month on each website :

Probability = Mean viewership per month / required viewership

Website 1 :

P(12000) = 10499.9722 / 12000 = 0.8749

Website 2 :

P(12000) = 10977.6944 / 12000 = 0.9148

4.)

More consistent website :

We use the standard deviation value, the higher the standard deviation, the higher the variability :

Website 1 should be more consistent has it has a Lower standard deviation score, hence, should show lower variability than website 2.

5.)

Website suitable for advertisement should be one with higher viewership per month in other to reach a larger audience. Hence, website 2 should be recommended for advertisement.

Answer and Step-by-step explanation:

To find x, we must find the interior angles first, then we can find the value of x.

To find the interior angle, we need to use the exterior angle. We subtract the exterior angle from 180 to get the interior angle.

180 - 157 = 23

180 - 78 = 102

Now we need to find the last interior angle.

180 - 23 - 102 = 55

Now to find x.

180 - 55 = 125

x = 125

#teamtrees #PAW (Plant And Water) #ALM (All Lives Matter)

I hope this helps!

Answer:

the value of x is 124

Step-by-step explanation: