7 (w+13)= 35 what the value of w

20%

2800/560

= 0.2%

=20%

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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The value of the length DF is 17

The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.

So, we have:

AB = AD

AC = A F

BC = DF

Given that BC = 17;

The equation BC = DF becomes

17 = DF

Rewrite as:

DF = 17

Hence, the value of the length DF is 17

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Step-by-step explanation:

interest=90

principal=600

rate=5%

time = I × 100/p×r

= 90×100/600×5

= 3 years.

Answer: 24

Step-by-step explanation:

8 x 6 x 3 is 144

5 x 4 x 3 is 60

144 minus 60 is 84

Answer:

\( 2^{2x + 2} = 2^{4x - 4} \)

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

\( 2^{2(x + 1)} = 2^{4(x - 1)} \)

\( 2^{2x + 2} = 2^{4x - 4} \)

Answer:

The second box is correct.

Step-by-step explanation:

Answer:

its the first one to the left

Step-by-step explanation:

hope I helped :)

Step-by-step explanation:

The domain tells us the possible x values in a function.

Look at the function, it has a open circle at x=-4 and it has a closed circle at x=6. This means that we can any value of number that is between negative 4 and 6. It cannot be negative 4 since it has a open circle so our domain is

\( - 4 < x \leqslant 6\)

The range is possible y values. Looking at the function, the lowest y value is at y=-3 and it has a open circle,

the highest y value is 3 and it at a closed circle.

This means we can have any y value from -3 and 3 but not -3 since it at a open circle so our range is

\( - 3 < y \leqslant 3\)

The polar coordinates of (1, -9) are (9.06, -1.47 radians).

To convert from rectangular coordinates to polar coordinates, we can use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:

r = √(1² + (-9)²) = √82 ≈ 9.06

θ = tan⁻¹((-9)/1) ≈ -1.47 radians

Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).

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The answers both as whole numbers and fractions are given below:

In mathematics, the limit of a function is the value that the function approaches as its input (independent variable) gets arbitrarily close to a certain value, often denoted as a.

More precisely, given a function f(x), the limit of f(x) as x approaches a, written as "lim x → a f(x)", is the value that f(x) approaches as x gets arbitrarily close to a, but not necessarily equal to a.

If the limit exists and is equal to L, then we can write it as:

lim x → a f(x) = L

To solve this,

using the graph of y = f(x)

\(\lim_{x \to 4^+\} \frac{f(x) - 4}{f(x+3)}\) = 3-4/6 = -1/6

\(\lim_{x \to 1^-\}{f(fx) +4) = f(4 +4) = f(8)\) = 5

\(\lim_{h \to 0\} \frac{f(2+h) - f(2)}{h}\) = f^1(2) = 1

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Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

C=πd

r=21

d=42

C=132 ft, and D is your final answer. Hope it help!

Answer:

132

Step-by-step explanation:

D

9514 1404 393

Answer:

  476 +598 = 1074

Step-by-step explanation:

In order for the sum to be smallest, the two most-significant digits must be the smallest possible. That is, they must be 4 and 5.

The two least-significant digits must be even. The remaining even digits are 6 and 8. Then the tens digits are the digits left over: 7 and 9.

Possible sums are ...

  476 +598 = 1074

  478 +596 = 1074

  496 +578 = 1074

  498 +576 = 1074

The sum is 1074.

Answer:

If you subtract 69 from 769 giving you 700 and divide by 2. You will be get 350 hamburgers and 419 cheeseburgers.

Answer: Y= 400 (1-0.1t)

Step-by-step explanation:

Y the value after depreciation period

400 initial value

0.1 dep rate

T time

Answer:

7.9 + x because they all equal -79 except that one

Answer:

I belive it would be 1/5. ;;;

x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

Explanation

Step 1

subtract 7 in both sides

Step 2

divide both sides by 2

so, the answer is x=-5/2

Answer:

Road:

Distance to Greg's house = 3.2 + 1.7 =

4.9 miles

Time to get to Greg's house =

(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)

Shortcut:

Distance to Greg's house:

\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)

Time to get to Greg's house:

(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)

The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)

She earned 0.91 pounds for every $1 US dollar when a visitor traded $1,000 US dollars for 910 British pounds.

A proportion is an equation that sets two ratios equal to each other. For example, if there is one guy and three girls, the ratio may be written as 1: 3. (for every one boy there are 3 girls) One-quarter are males and three-quarters are girls. 0.25 are males (by dividing 1 by 4). According to the notion of proportion, two ratios are in proportion when they are equivalent. It is a formula or statement that shows that two ratios or fractions are equivalent.

Here,

For 910 pounds, she spent $1000 US dollars.

For $1,

=910/1000 pound

=0.91 pounds

For each $1 US dollar, she received 0.91 pounds as tourist exchanged $1,000 US dollars for 910 British pounds.

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Answer:

0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Rebekah wants tο read apprοximately 140.91 pages each day during summer vacatiοn. We can rοund this tο 141 pages per day.

Percentage is a way οf expressing a number as a fractiοn οf 100.

Let x be the number οf pages Rebekah wants tο read each day.

Accοrding tο the prοblem, she read 132% οf her gοal tοday, which is 186 pages:

132% οf x = 186

Tο sοlve fοr x, we can start by cοnverting the percentage tο a decimal:

132% = 132/100 = 1.32

Sο the equatiοn becοmes:

1.32x = 186

Dividing bοth sides by 1.32, we get:

x = 186/1.32

x ≈ 140.91

Hence, Rebekah wants tο read apprοximately 140.91 pages each day during summer vacatiοn. We can rοund this tο 141 pages per day.

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A round jacuzzi has a radius of 135 cm. It is measures 90 cm deep .

To find How many liters of water does the jacuzzi hold, that is to find the volume of the semicirlce.

The formula o find the volume of the semi circle is,

where r= 135 and h= 90.

The jacuzzi can hold 5150.385 liters of water.

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

The correct pattern of the series is option B.

What is Series?

Throughout the series, these phrases exhibit a consistent pattern. The candidate is expected to analyse the examples provided, recognise the patterns in the examples, and either finish the examples with the best possible replacement or identify the incorrect term in the examples.

Here the given series in first step we have blue quarter.

Then, next step blue quarter succeed by red quarter.

And the its followed by blue quarter Similarly here we have to follow this pattern , Then We can get Red Quarter.

In given option B is follow the pattern of the series.

Hence the  correct option is B.

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If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer:

1/5

Step-by-step explanation:

total CDs = 6 + 10 + 4 + 8 + 12 = 20 + 20 = 40

hip hop = 8

8/40

(8:8)/(40:8)

1/5