What is the pH of a solution with a 1.50 × 10−9 M hydroxide ion concentration? (4 points) 0.176 5.18 8.82 9.20

Let u and v be a vectors. Then u can be broken up into two components, r and s such that r is parallel to v and s is perpendicular to v.

The component of u perpendicular to v is referred to as s, while r is referred to as the projection of u onto v. Then, u v = u1v1 + u2v2 + + unvn is the dot product of u with v.

Keep in mind that u v is defined when u and v have the same number of components and that the dot product of two vectors is a scalar. Though the dot product is a union of two vectors, the outcome is not a vector, which is an intriguing observation.

In particular, u (v w) makes no sense if u, v, and w are vectors because v w is a scalar. Before confirming that the dot product has the desired geometric characteristics, we'll mention.

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When given vector u = (1, 2) and v = (1, -4), Then the value of 4u + 3v = ⟨7, -4⟩, graph in attachment.

The component of u perpendicular to v is referred to as s, while r is referred to as the projection of u onto v. Then, u v = u1v1 + u2v2 + + unvn is the dot product of u with v.

Keep in mind that u v is defined when u and v have the same number of components and that the dot product of two vectors is a scalar. Though the dot product is a union of two vectors, the outcome is not a vector, which is an intriguing observation.

Given u = (1, 2) and v = (1, -4),

4u + 3v = 4(1, 2) + 3(1, -4)

= (4, 8) + (3, -12)

= ⟨4 + 3, 8 + (-12)⟩

= ⟨7, -4⟩

Thus, 4u + 3v = ⟨7, -4⟩

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Answer:

1/3

Step-by-step explanation:

We can see that the units of the lengths aren't the same, in order to make this question easier to understand, let's transfer the units first.

The three sides are 1.2m(which is 120cm), 1m(which is 100cm), and 40cm.(It's better to transfer all of them into centimeter so that their will be no decimals)

Now, from 120cm, 100cm and 40cm, surely 40cm is the shortest, and 120cm is the longest, so we divide 40 into 120: 40/120=1/3

Hope this will help:)

The combination of scores that won the National Championship for Baylor are 18 free throws, 24 two point field goals and 6 three-point field goals.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Given Baylor University defeated Michigan State University by a score of 84 to 62.

Score of Baylor University = 84

Baylor won by scoring a combination of two-point field goals, three-point field goals, and one-point free throws.

Let the number of free throws = x

The number of two-point field goals was six more than the number of free throws.

Number of two point field goals = x + 6

Also, the number of two-point field goals was four times the number of three-point field goals.

Number of two point field goals =  4 (number of three-point field goals)

So, 4 (number of three-point field goals) = x + 6

Number of three-point field goals = (x + 6) / 4

Score for free throw = 1 point × x

Score for 2 point field goal = 2 points × (x + 6)

Score for 3 point field goal = 3 points × [(x + 6)/4]

[1 × x] + [2 (x+6)] + [3 ((x+6)/4] = 84

x + 2x + 12 + 3/4 x + 18/4 = 84

3.75x + 16.5 = 84

3.75x = 67.5

x = 18

Number of free throws = x = 18

Number of two point field goals = x + 6 = 18 + 6 = 24

Number of three-point field goals = (x + 6) / 4 = 24/4 = 6

Hence the combination are 18 free throws, 24 two point field goals and 6 three-point field goals.

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The unit tangent vector T(t) is (7/√53, -2 sin t/√53, 2 cos t/√53), and the unit normal vector N(t) is (0, -2 cos t/2√53, -2 sin t/2√53).

The given vector function is r(t) = (7t, 2 cos t, 2 sin t).

To find the unit tangent vector T(t), we need to differentiate r(t) with respect to t and divide the resulting vector by its magnitude.

Differentiating r(t) with respect to t, we get:

r'(t) = (7, -2 sin t, 2 cos t)

Now, we need to calculate the magnitude of r'(t) using the formula:

|v| = √(v₁² + v₂² + v₃²)

Substituting the values, we have:

|r'(t)| = √(7² + (-2 sin t)² + (2 cos t)²)

|r'(t)| = √(49 + 4 sin² t + 4 cos² t)

|r'(t)| = √(49 + 4(sin² t + cos² t))

|r'(t)| = √(49 + 4)

|r'(t)| = √53

To obtain the unit tangent vector, we divide r'(t) by its magnitude:

T(t) = r'(t)/|r'(t)|

T(t) = (7/√53, -2 sin t/√53, 2 cos t/√53)

Now, to find the unit normal vector N(t), we differentiate T(t) with respect to t, and divide the resulting vector by its magnitude.

Differentiating T(t) with respect to t, we get:

T'(t) = (0, -2 cos t/√53, -2 sin t/√53)

|r'(t)| = √((0)² + (-2 cos t/√53)² + (-2 sin t/√53)²)

|r'(t)| = √(4 cos² t/53 + 4 sin² t/53)

|r'(t)| = √(4(cos² t + sin² t)/53)

|r'(t)| = √(4/53)

|r'(t)| = 2/√53

To obtain the unit normal vector, we divide T'(t) by its magnitude:

N(t) = T'(t)/|T'(t)|

N(t) = (0, -2 cos t/2√53, -2 sin t/2√53)

Therefore, the unit tangent vector T(t) is (7/√53, -2 sin t/√53, 2 cos t/√53), and the unit normal vector N(t) is (0, -2 cos t/2√53, -2 sin t/2√53).

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Answer:

18π

Step-by-step explanation:

Answer:

183.079764 if you round it would be around 183

Step-by-step explanation:

Have amazing day!

Answer:

Caterer One: C = 55n

Caterer Two: C = 40n + 550

Caterer Three: C = 35n + 800

Step-by-step explanation:

The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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We can increase complex numbers to a power according to De Moivre's theorem. It says that the equation zn may be found using the following formula for any complex number z = r(cos + i sin ) and any positive integer n:\((Cos n + i Sin n) = Zn = RN\)

In this instance, we're looking for the complex number's cube (-53 + 51). First, let's write this complex number down in polar form:

\(r = √((-5√3)^2 + 51^2) = √(75 + 2601) = √2676\)

The formula is: = arctan((-53) / 51) = arctan(-3) / 17.

De Moivre's theorem can now be used to determine the complex number's cube:

\([cos(3 arctan(-3)/17) + i sin(3 arctan(-3)/17)] = (-5 3 + 51) 3 = (26 76) 3\)

We can further simplify the statement by using a calculator:

\((-5√3 + 51)^3 = 2676^(3/2) [3 arctan(-3 / 17)cos(3 arctan(-3 / 17)i sin(3 arctan(-3 / 17)i]]\).

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Therefore, the function that matches the mosquito counts is'(w) = 8(\(1.5^{w}\)).

by the question.

To determine which function matches the mosquito counts, we can plot the given data points on a graph and see which function fits the curve. Here are the counts for the first few weeks:

Week Mosquito Count

0 8

1 20

2 50

3 125

4 312

Plotting these points on a graph with weeks on the x-axis and mosquito count on the y-axis, we get:

mosquito graph

Looking at the graph, we can see that the curve increases rapidly and seems to be exponential. This rule out option A (which is linear), leaving us with options B, C, and D.

To determine which of these options matches the data, we can try plugging in the week numbers and seeing which one gives us values close to the actual counts. We can also use a calculator or graphing technology to help us with this.

Option B gives us the following mosquito counts for the first five weeks:

Week Mosquito Count

0            8

1         19.5

2        47.25

3       114.19

4       276.32

Option C   gives us:

Week Mosquito Count

0       8

1        12

2       18

3       27

4       40.5

Option D is not a function of mosquito counts with weeks as the input variable, so we can rule it out.

Comparing the values from options B and C to the actual counts, we can see that option C is the closest match.

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Answer:

22 7/9

Explanation: Add the whole numbers together then to get the same denominator you multiply 2/3 by 2 that would give you 1/9 and 6/9 then you add the fractions together and get the answer.

Answer:

Step-by-step explanation:

i think its 7(1+3) because (1+3)= 4 28/4 = 7

Answer:

Hope this helps

Step-by-step explanation:

Sum of series is donated by the for formula below

\( \sf \: Sn = \frac{n}{2} [2a + (n - 1)d]\)

Example 3,6,9,12,...

Let's say we're finding the sum of the 20 series

n = 20, a = 3, d = 6-3 = 3

Where,

n means number of terms

a means the first term

d means the constant value between terms

S20 = 20/2[2(3) + (20-1)d]

S20 = 10[6+19(3)]

S20 = 60 + 570

S20 = 630

Voila!!

Answer:

x = - 7, x = 3

Step-by-step explanation:

To find the x- intercepts let f(x) = 0 , that is

x² + 4x - 21 = 0

Consider the factors of - 21 which sum to give the coefficient of the x- term (+ 4)

The factors are + 7 and - 3, since

7 × - 3 = - 21 and 7 - 3 = + 4, then

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 3 = 0 ⇒ x = 3

the real solutions of the equation 8x^2 + 6x - 9 = 0 are x = 3/4 and x = -3/2.

To find the real solutions of the equation 8x^2 + 6x - 9 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation, the coefficients are:

a = 8

b = 6

c = -9

Plugging these values into the quadratic formula, we get:

x = (-6 ± √(6^2 - 4(8)(-9))) / (2(8))

x = (-6 ± √(36 + 288)) / 16

x = (-6 ± √324) / 16

x = (-6 ± 18) / 16

This simplifies to two possible solutions:

x₁ = (-6 + 18) / 16 = 12/16 = 3/4

x₂ = (-6 - 18) / 16 = -24/16 = -3/2

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Answer:

The average rate of change of the function over the given interval is -6

Step-by-step explanation:

The function we want to find its average rate of change is;

F(x) = 17 - x^2

Mathematically, the average rate of change of a function F(x) over an interval (a,b) can be calculated as;

{F(b) - F(a)}/(b-a)

According to this question, a = 1 and b = 5

F(a) = F(1) = 17 -(1)^2 = 17 -1 = 16

F(b) = F(5) = 17 - 5^2 = 17-25 = -8

So making the substitution; we have

(-8)-16/(5-1) = -24/4 = -6

Answer:

A: -6

Step-by-step explanation:

The part of the z-score denoting hundredths is found in the interior of the table.

In a standard normal distribution table, also known as a z-table, the z-scores are presented with two parts: the tenths and the hundredths. The tenths are found in the row headings (or sometimes column headings) on the edges of the table, while the hundredths are located in the columns within the interior of the table.

To find a specific z-score in a z-table, first identify the tenths value in the row headings, and then locate the corresponding hundredths value in the columns of the same row. The intersection of the row and column will provide you with the desired probability associated with that particular z-score. The z-table helps in calculating the area under the curve in a standard normal distribution, which is essential for various statistical analyses and probability calculations.

Remember, the z-score is a measure of how far a data point is from the mean in terms of standard deviations. A positive z-score indicates that the data point is above the mean, while a negative z-score indicates that it is below the mean.

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The shapes of the curves in the AS/AD (Aggregate Supply/Aggregate Demand) model are based upon the relationship between the price level and the output level in an economy.

The AD curve shows the relationship between the overall price level and the quantity of goods and services demanded by all buyers in an economy. It has a negative slope, indicating that as the price level increases, the quantity of goods and services demanded decreases.

The AS curve shows the relationship between the overall price level and the quantity of goods and services that firms are willing and able to supply. In the short run, the AS curve is upward sloping, indicating that as the price level increases, firms are willing to supply more output due to higher profits. In the long run, the AS curve becomes vertical, indicating that the level of output is determined by the factors of production and technology, not the price level.

Thus, the shapes of the curves in the AS/AD model are based on the behavior of buyers and sellers in an economy and their response to changes in the overall price level.

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Answer:

"Work out the percentage discount offered with the family ticket option."

A = adult (55 euro)  C = children ( 45 euro )

( A x 2 ) + ( C x 2)

= (55x 2) + ( 45 x 2 )

= 110 + 90

= 200 base value of prices of ticket :

Family = F ( in point we want to find the percentage discount offered with the family ticket option ) we need :

200 -170= 30

F =30 : 200

F = 0.15

F= 15%

:) hope this helping you . happy day ( yay )

The probability that a standard normal random variable, Z, is between -1.65 and 1.82 can be found by subtracting the cumulative probability at -1.65 from the cumulative probability at 1.82.

To find the cumulative probability, you can use a standard normal distribution table or a calculator. The cumulative probability at -1.65 is 0.0495, and the cumulative probability at 1.82 is 0.9656.

So, the probability that Z is between -1.65 and 1.82 is 0.9656 - 0.0495 = 0.9161.

In other words, the probability of Z being between -1.65 and 1.82 is approximately 0.9161.

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Answer:

$638.50

Step-by-step explanation:

1100*0.085=93.5

545+93.5=638.5

Then first replace

How many digits

Olivia memorized 6 digits

Olivia want to be engineer

------------------------------------------

Winner memorized 25 digits

Winner love Pecan pie

Winner want to be astronaut

-----------------------------------------

Lucas memorized 13 digits

Lucas want to be firefighter

Lucas loves Key lime pie

----------------------------------------

Ava will be teacher or astronaut

Ava memorized 9 digits

Ava loves Pumpkin

Ava is teacher then

9. Winner,Lucas, Ava, Olivia

------------------------------------------

Noah is winner 25 digits

Noah wants to be astronaut

The arc length of a point that moves with a constant speed of 60 mph along a circle in 15 minutes, with a radius of 5 miles, will be 3 miles.

The arc length of a point that moves with a constant speed of 60 mph along a circle in 15 minutes would be;

Arc Length = (Speed × Time) ÷ Radius

First, we need to convert the speed from mph to miles per minute by dividing it by 60:

60 mph ÷ 60 minutes = 1 mile per minute

Next, we need to find the radius of the circle.

Now the radius of the circle is 5 miles:

Arc Length = (1 mile per minute × 15 minutes) ÷ 5 miles

= 3 miles

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Answer:

I believe it is 2 grams.

Step-by-step explanation:

there are 1000 grams in 1 kg, there are 500 crayons, therefore each crayon weighs 2 grams

Answer:

B.

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees, and those two angles added to angle 1 would be equal to 180 degrees since they are straight lines.

Answer:

C

Step-by-step explanation:

Supplementary - adds up to 180

Equation to represent l the length of rabbit pen in feet as function of w, width in feet is l = (24 - w) / 2.

A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are several uses in real life for perimeter calculations.

The area is the volume a flat, two-dimensional item occupies in a plane. The space occupied by a three-dimensional object is referred to as its volume. Area is measured in square units. Volume is measured in cubic units.

Let's say that the width of the rabbit pen is w feet, and the length of the rabbit pen is l feet. Since Tyler wants to fence in three sides of the pen, and he has 24 feet of fencing, we can represent this as an equation:

w + l + l = 24

This equation says that the width of the pen plus twice the length of the pen is equal to 24 feet.

Alternatively, you could write this equation as:

l= (24 - w) / 2

This equation says that the length of the pen is equal to half of the difference between 24 and the width of the pen.

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Answer:

What is the formula of area of Circumcircle?

Image result

We know that area of circle = π*r2, where r is the radius of given circle. We also know that radius of Circumcircle of an equilateral triangle = (side of the equilateral triangle)/ √3. Therefore, area = π*r2 = π*a2/3.

Step-by-step explanation:

The solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are respectively:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

we shall write the equations as:

7x - 4y = -12...(1)

x - 2y = 4...(2)

multiply equation (2) by 7 to get equation (3)

7x - 14y = 28...(3)

subtract equation (1) from (3) to eliminate x

7x - 14y - 7x + 4y = 28 + 12

-10y = 40

divide through by -10

y = -4

put the value -4 for y in equation (2) to get y

x - 2(-4) = 4

x + 8= 4

x = -4

x - y = 4...(1)

2x + y = 5...(2)

Add equations (1) and (2) to eliminate y

2x + y + x - y = 5 + 4

3x = 9

divide through by 3

x = 3

put the value 3 for x in equation (1) to get y

3 - y = 4

y = -1

4x - 3y = 17...(1)

2x - 5y = 5...(2)

multiply equation (2) by 2 to get equation (3)

4x - 10y = 10...(3)

subtract equation (3) from (1) to eliminate x

4x - 3y - 4x - 10y = 17 - 10

7y = 7

divide through by 7

y = 1

put the value 1 for y in equation (2) to get y

2x - 5(1) = 5

2x - 5 = 5

x = 5

5x + 6y = -6...(1)

7x - 3y = -54...(2)

multiply equation (1) by 7 to get equation (3) and equation (2) by 5 to get equation (4)

35x + 42y = -42...(3)

35x - 15y = -270...(4)

subtract equation (4) from (3) to eliminate x

35x + 42y - 35x + 15y = -42 + 270

57y = 228

divide through by 57

y = 4

put the value for y in equation (1) to get x

5x - 6(4) = -6

5x + 24 = -6

x = -6

Therefore, the solutions for the system of equations: 7x - 4y = -12 and x - 2y = 4, x - y = 4 and 2x + y = 5, 4x - 3y = 17 and 2x - 5y = 5, 5x + 6y = -6 and 7x - 3y = -54

by elimination are:

x = -4, y = -4

x = 3, y = -1

x = 5, y = 1

x = -6, y = 4

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To find the height of the cylinder, we can use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height.

We are given the volume and the radius, so we can substitute these values into the formula and solve for h.

First, we need to convert the volume from milliliters to cubic centimeters, since the units of the formula are in cubic centimeters. We know that 1 milliliter is equal to 1 cubic centimeter, so we can simply use 1,494.54 cm³ as the volume.

V = πr²h

1,494.54 = π(5.7)²h

1,494.54 = 102.06πh

h = 1,494.54 / 102.06π

h ≈ 4.56 cm

Therefore, the height of the cylinder is approximately 4.56 cm.

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