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Given u = ⟨root3, -1⟩ and v = ⟨3, –4⟩, what is u · v?

Answer:

the slope is 4/3

Step-by-step explanation:

so the equation of your problem would be y=4/3x-2

-2 is your y-intercept (or your b)

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length : \(\sf \sqrt{89}\)

Explanation:

use the distance formula : \(\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}\)

\(\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}\)

\(\sf \rightarrow \sf \sf \sqrt{64+25}\)

\(\sf \rightarrow \sf \sf \sqrt{89}\)

Answer:

\(\sf \sqrt{89}\)

Step-by-step explanation:

Let A = \(\sf (x_1,y_1)\) = (-1, 9)

Let B = \(\sf (x_2,y_2)\) = (7, 4)

Distance formula:

\(\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Input values into the distance formula and solve for d:

\(\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}\)

\(\sf \implies d=\sqrt{8^2+(-5)^2}\)

\(\sf \implies d=\sqrt{64+25}\)

\(\sf \implies d=\sqrt{89}\)

Answer:

0.009854, 30%, 1.98, √9

Step-by-step explanation:

Convert to decimals:

0.009854, 1.98, 3.0, 0.3

0.009854, 0.3, 1.98, 3.0

Answer:

81 + 144i

Step-by-step explanation:

Original equation

\((-3\sqrt{-81})(-5+\sqrt-9) + 9i\)

Rewrite the radicals

\((-3\sqrt{81} * \sqrt{-1})(-5+\sqrt{9} * \sqrt{-1}) + 9i\)

Simplify the radicals

\((-3 * 9i)(-5+3i) + 9i\)

Simplify further

\((-27i)(-5+3i) + 9i\)

Distribute the -27i

\(135i - 81i^2 + 9i\)

Add like terms

\(- 81i^2 + 144i\)

Square the i

\(- 81 * (-1) + 144i\)

Simplify

\(81 + 144i\)

Answer:

True

Step-by-step explanation:

39/8 = 4.875

8*4 = 32

Therefore, 39 - 32 = 7

The height of the baseball after 1.7 seconds is 18.85feet

Given the function for calculating the height of the baseball from the table expressed as:

\(y=\frac{1}{2}x + 18\) where:

In order to get the height of the baseball after 1.7 seconds, we will simply substitute x = 1.6 into the expression as shown:

\(y=\frac{1}{2}(1.7)+ 18\\y=0.85 + 18\\y= 18.85 feet\)

Hence the height of the baseball after 1.7 seconds is 18.85feet

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To answer that question we need to apply the equation for vertical shooting. This particular case implies in fact to steps

Solution is:

h = 40.085× t -  (1/2)× g× t²  equation for the path

h(₁,₇) = 21.66 f

The annexed table gives information to determine Vo ( initial speed of the ball)

h the path of the ball is:

h = V₀× t - (1/2)×g×t²        

Let´s take the second point of the table  ( 1 ; 24 )

Then  

h = 24   = V₀× (1) - (32.17)×(1)²/2

24 = V₀ - 16.085

V₀  = 40.085  ft/sec

With the value of V₀ we can get the curve (model of the movement)

h = 40.085× t -  (1/2)× g× t²    (1)

Now for t = 1.7 seconds, by substitution en equation (1)

h = 40.085× 1.7 - (1/2)× 32.17× (1.7)²

h = 21.66 f  ( which means the ball is already going down

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Answer:

-3/12

Step-by-step explanation:

If demand has averaged 6105 units with a standard deviation of 243. the company currently has 6647 units in stock ,the service level is approximately 1.28%, which is option b.

To calculate the service level, we need to determine the probability that the demand does not exceed the available stock. We can use the Z-score formula to calculate this probability.

Given:

Average demand (μ) = 6105 units

Standard deviation (σ) = 243 units

Available stock (X) = 6647 units

First, we calculate the Z-score using the formula:

Z = (X - μ) / σ

Substituting the values, we get:

Z = (6647 - 6105) / 243

Z = 542 / 243

Z ≈ 2.231

Next, we need to find the corresponding probability using the Z-table or a statistical calculator. The Z-score of approximately 2.231 corresponds to a probability of approximately 0.988.

Since we are interested in the probability that the demand does not exceed the available stock, we subtract the obtained probability from 1:

1 - 0.9882 = 0.0128

Converting the probability to a percentage, we get 0.012 * 100 = 1.28%.

Therefore, correct option is B.

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Answer:

87

Step-by-step explanation:

If you look at the numbers upside down they are 86, 88, 89, 90 and 91 so the number that is covered by the car is 87.

The length of side AC in triangle ABC is approximately 13.898 cm.

To find the length of side AC in triangle ABC, we can use the law of cosines.

The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides, minus twice the product of the lengths of those two sides and the cosine of the included angle.

In triangle ABC, we are given:

∠A = 65°

AB = 7 cm

BC = 12 cm

We want to find AC.

Using the law of cosines, we have:

AC² = AB² + BC² - 2 * AB * BC * cos(∠A)

AC² = 7² + 12² - 2 * 7 * 12 * cos(65°)

AC² = 49 + 144 - 168 * cos(65°)

AC² ≈ 193.463

Taking the square root of both sides, we find:

AC ≈ √193.463

AC ≈ 13.898

Therefore, the length of side AC in triangle ABC is approximately 13.898 cm.

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Question

The length of side AC of the triangle △ABC when ∠A = 65°, AB = 7cm, and BC = 12cm.

Answer:

50

Step-by-step explanation:

29+42+61+?=180

add (29,42,61) that gives you 132

now 132-180=48

48 rounded to the nearest tenth is 50 sooo....

X= 50

Answer:

hi there

17 and 18

17 times 17 equals 289

18 times 18 equals 324

Step-by-step explanation:

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Answer:

The coordinates of F' are: (4,-3).

Step-by-step explanation:

6-2= 4

1-4= -3

Answer:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

Step-by-step explanation:

y = a (x − x₁) (x − x₂)

Expand:

y = a (x² − x₁x − x₂x + x₁x₂)

y = a (x² − (x₁ + x₂)x + x₁x₂)

Distribute a to the first two terms:

y = a (x² − (x₁ + x₂)x) + ax₁x₂

Complete the square:

y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²

y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)

Therefore:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

The name of the polygon is (B) hexagon.

To find the name of the polygon:

Therefore, the name of the polygon is (B) hexagon.

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The complete question is given below:

A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

A) Octagon

B) Hexagon

C) Heptagon

D) Quadrilateral

C

Step-by-step explanation:

Answer:

C!!! C would be ur answer

Step-by-step explanation:

I have to put more than 20  chraactares just ignore this

Answer:

a. D = R \ {13}

b. D = [-9;+∞)

D = R \ { \(\frac{-1}{2}\) }

Step-by-step explanation:

a. 13 - x ≠ 0

 x ≠ 13

D = R \ {13}

b. 9 + x ≥ 0

x ≥ -9

D = [-9;+∞)

c. 2x + 1 ≠ 0

x ≠ \(\frac{-1}{2}\)

D = R \ { \(\frac{-1}{2}\) }

The unit rate of demonstrated in the graph will be 4.5 miles per hour. Then the correct option is B.

The rate is the proportion of how much something is to the unit. For instance - Assuming that the speed of the vehicle is 20 km/h it implies the vehicle voyages 20 km in 60 minutes.

The incline is the proportion of rising or falling and running. The contrast between the ordinate is called rise or fall and the distinction between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, take two points from the graph which are (0, 0) and (27, 6).

Then the unit rate demonstrated in the graph will be given as,

Rate = (27 - 0) / (6 - 0)

Rate = 27 / 6

Rate = 4.5 miles per hour

The unit rate of demonstrated in the graph will be 4.5 miles per hour. Then the correct option is B.

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(a) The definite integral is  (3^50 - 1)/50 (b) The  value of the definite integral is -1,736,853.002.

a) The definite integral ∫(0 to 1) (1 + 2x)^49 dx can be evaluated using the power rule for integration.

By applying the power rule, we obtain the antiderivative of (1 + 2x)^49, which is (1/50)(1 + 2x)^50. Then, we can evaluate the definite integral by substituting the upper and lower limits into the antiderivative expression:

∫(0 to 1) (1 + 2x)^49 dx = [(1/50)(1 + 2x)^50] evaluated from 0 to 1

Plugging in the values, we get:

[(1/50)(1 + 2(1))^50] - [(1/50)(1 + 2(0))^50]

= [(1/50)(3)^50] - [(1/50)(1)^50]

= (3^50 - 1)/50

b) The definite integral ∫(-49 to 6.95) (27 + 2x)^2 dx can be evaluated by applying the power rule and integrating the expression. By simplifying the integral, we can find the antiderivative:

∫(-49 to 6.95) (27 + 2x)^2 dx = [(1/3)(27 + 2x)^3] evaluated from -49 to 6.95

Substituting the upper and lower limits:

[(1/3)(27 + 2(6.95))^3] - [(1/3)(27 + 2(-49))^3]

= [(1/3)(40.9)^3] - [(1/3)(-125)^3]

= 290,881.3733 - 2,027,734.375

= -1,736,853.002

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Answer:

10-x=d

(d = diferencia de 10 y x)

Answer: 6 containers

Step-by-step explanation:

Fraction division.

2/3 divided by 1/8.

Keep-change-flip. (or a similar method for dividing fractions)

2/3 times 8/1 is 16/3.

He will fill 5 and 1/3 containers, so 6 containers will have paint in them.

(っ◔◡◔)っ ♥

Hope this helps.

MM4343

The value after double integration is 45.73

We can evaluate rectangle integrals in any order we like in Cartesian coordinates. We treat the other integral as a constant regardless of which integral we assess first; this is something to keep in mind while choosing the order of integration.

We want that x to be constant; we can easily integrate with respect to y. So we will evaluate y first. We get:

\(\int\limits^ \int\limits^ \frac{6x}{1+xy} dA=6\int\limits^6_0 \int\limits^1_0 {\frac{x}{1+xy} } \, dydx\)

\(or, 6\int\limits^6_0 {[In(1+xy)}_{0} ^{1} ]} \, dx\)

\(or, 6\int\limits^6_0 {In(1+x)} } \, -In 1dx\)

\(or, 6\int\limits^6_0 {In(1+x)} } \, dx\)

\(or,[(1+x)In(1+x)-(1-x)]^{6} _{0}\)

\(or,[7In7-In1-7+1]\\or,6(7In7-6)\\or,45.73\)

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Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.

Thus, I am solving based on it. It would still clear your concept.

Answer:

The inverse of f(x)=9x+7

Step-by-step explanation:

Given the function

\(f(x)=9 x + 7\)

A function g is the inverse of function f if for y=f(x), x=g(y)

Replace x with y

\(x=9y+7\)

solve for y

\(9y=x-7\)

\(y=\:\frac{x-7}{9}\)

Therefore,

The inverse of f(x)=9x+7 is:

i.e.

\(\mathrm{Inverse\:of}\:9x+7:\quad \frac{x-7}{9}\)

Answer:

C

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 20 × (20 + 36) = 20 × 56 = 1120 ( take square root of both sides )

x = \(\sqrt{1120}\) = \(\sqrt{16(70)}\) = \(\sqrt{16}\) × \(\sqrt{70}\) = 4\(\sqrt{70}\)

Answer:

4x-4

Step-by-step explanation:

x-10+3x+6=4x-4

Hope helps :3

Answer: 4x-16

Step-by-step explanation:

Answer:

The answer would be: √x+3=13

Step-by-step explanation:

A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.

The option with √x would be only √x+3=13

To make the circle that circumscribes a triangle via the use of a straightedge and a compass, one can:

The other steps  to use are:

Draw the triangle as well as name the vertices D, E, and F. Find the midpoint of each side of the triangle, then draw a straight line that passes through each side of the triangle.

Make use of the compass, draw a circle with a point that is rise to to the separate between one of the vertices of the triangle and its comparing midpoint.   Draw a circle with a point rise to to the remove between the vertex and its comparing midpoint.

The point where all three circles cross is the center of the circle that circumscribes the triangle. To fulfill the construction, draw a circle with the center point.

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Answer:

12 and 18

Step-by-step explanation:

trial and improvement

10 and 15             too small

12 and 18              exact                   12 x 3=36    18 x 2=36

Answers:

The smaller number is 12.

The bigger number is 18.

Hope you could understand.

If you have any query, feel free to ask