9. Given p = 2i + 2j + k and q = 4i + k. Find
(a) p • q
please help ASAP for 25 points and brainliest :)​

Answer:

32

Step-by-step explanation:

p=8/1/4

p=8÷¼

p=8×4

p=32

hope this helps

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Combining similar terms:

Answer:

71.875

Step-by-step explanation:

p = q

180 - 36.25 = 143.75

p + q = 143.75

143.75 ÷ 2 = 71.875

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

Answer:

c = 5a - 7

Step-by-step explanation:

2a +3c =17a - 21

Subtract 2a from 17a, leaving 15a as a result.

3c = 15a - 21

Divide 3 by all numbers on the other side, getting your answer.

c = 5a - 7

Answer:

x = 3/8y + -13/8

Step-by-step explanation:

Step 1: Add 3y to both sides.

8x − 3y + 3y = −13 + 3y

8x = 3y − 13

Step 2: Divide both sides by 8.

8x/8 = 3y − 13/8

Hopefully this is right. Just Lmk

The probability that a random sample of 21 has a mean between 564 and 587 is of:

0.2641 = 26.41%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 555, \sigma = 72, n = 21, s = \frac{72}{\sqrt{21}} = 15.7\)

The probability that a random sample of 21 has a mean between 564 and 587 is the p-value of Z when X = 587 subtracted by the p-value of Z when X = 564, hence:

X = 587:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (587 - 555)/15.7

Z = 2.04

Z = 2.04 has a p-value of 0.9798.

X = 564:

Z = (564 - 555)/15.7

Z = 0.57

Z = 0.57 has a p-value of 0.7157.

0.9798 - 0.7157 = 0.2641 = 26.41%.

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Answer:

24

Step-by-step explanation:

4/5 = x/30, then (4×30)/5 =24

The missing value is 24.

We have,

From the figure,

We can write an expression as:

4:5 = x : 30

This can be written as,

4/5 = x/30

Now,

Cross multiply.

x = 4 x 30 / 5

x = 4 x 6

x = 24

Thus,

The missing value is 24.

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85

Step-by-step explanation:

Given,

\({ \pink{ \sf{h(x) = 1 - 7x}}} \: { \to} \: { \tt{eq}^{n} (1)}\)

Put x = 9 in Eqⁿ (1)

\({ \pink{ \sf{h(9) = 1 - 7(9)}}}\)

\({ \pink{ \sf{h(9) = 1 - 63}}}\)

\({ \red{ \boxed{ \pink{ \sf{h(9) = - 62}}}}}\)

Let

\({ \green{ \sf{23 - h(9)}}} \: { \to} \: { \tt{ {eq}^{n} (2)}}\)

Substitute the value of h(9) in Eqⁿ (2)

\({ \green{ \sf{23 - ( - 62)}}}\)

\({ \green{ \sf{23 + 62}}}\)

\( = { \pink{ \boxed{ \red{ \sf{85}}}}}\)

Answer: 225

Step-by-step explanation:

Create a ratio part/whole for radians = part/whole for degrees

\(\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}\)      Keep change flip because you are dividing fractions for left side

\(\frac{5\pi }{4} (\frac{1}{2\pi }\)) = \(\frac{x}{360}\)

\(\frac{5}{8} (\frac{360}{1} ) =x\)

x = 225

Answer:

6 3/4

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

1. c

2.b

The equation of the sphere with center (8, 4, 6) are\((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 36\), \((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 16\), \((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 64\)

Given that, center of the sphere of sphere is (8, 4, 6)

a) If the sphere is touching the xy- plane , its radius is same as the magnitude of z- coordinate of the center which is 6.

The equation of the required sphere is

\((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 6^{2}\)

b) If the sphere is touching the yz- plane , its radius is same as the magnitude of x- coordinate of the center which is 8.

The equation of the required sphere is

\((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 8^{2}\)

c) If the sphere is touching the xz- plane , its radius is same as the magnitude of x- coordinate of the center which is 4.

The equation of the required sphere is

\((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 4^{2}\)

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Answer:

C

Step-by-step explanation:

The simplified expression of the given expression -5\(w^2y^{-2\) / -15\(w^{-6}y^2\) is \(w^{16\).

The expression -5\(w^2y^{-2\) / -15\(w^{-6}y^2\)  can be simplified as follows:

= -5 * \(w^{2 - (-6)\) * \(y^{-2 - 2\) / -15 * \(w^{-6 - 2\) * \(y^{2 - (-2)\)

= -5 * \(w^8\) * \(y^{-4\) / -15 * \(w^{-8\) * \(y^4\)

= (-5 / -15) * (\(w^8\) / \(w^{-8\)) * (\(y^{-4\) / \(y^4\))

= 1 * \(w^{16\) * \(y^0\)

= \(w^{16\)

Therefore, the simplified expression is w^16.

Here is a breakdown of the steps involved in the simplification:

The powers of w and y are combined using the distributive property of exponents.

The negative exponents are changed to positive exponents by dividing by the same base raised to the power of the negative exponent.

The factors of 5 and 15 are simplified.

The common factors of w and y are simplified.

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The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

The solution is, D.) 11,115 is the total value of his assets.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

Malcolm's net worth is $3,475.

His liabilities are $7,650.

now, we have,

the total value of his assets is:

we just have to add them.

$3,475 + $7,650

=11125

Hence, The solution is, D.) 11,115 is the total value of his assets.

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Answer:

Large - PR - 15 and QR - 9 Missing degrees is P - 37

Small - Missing degree is 53

They are similar because they have the exca same degrees and if you divided by 3 on each side of the larger triangle you get the small triangle.

Step-by-step explanation:

Pythagorean theorem

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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C(N(x)) = 45 + 15(150 - x) = 45 + 2250 - 15x = 2295 - 15x. C(N(x)) = 2295 - 15x, which equals $2295 minus $15 for each guest fewer than 150. Therefore, $795 would be needed to prepare for 50 guests.

A group of terms joined with the operations +, -, x, or  form an expression, such as 4 x 3 or 5 x 2  3 x y + 17. A statement that starts with an equals sign, such as 4 b 2 = 6, says that two statements are equal in value and is known as an equation.

The functions are: C(x) = 45 plus 15x (Cost per guest)

N(x) = 150 - x (Number of guests)

We must simplify and replace the formula for N(x) with C(x) in order to evaluate C(N(x)):

C(N(x)) = 45 + 15(150 - x) = 45 + 2250 - 15x = 2295 - 15x

The expense of catering for x guests who are less than 150 is denoted by the expression 2295 - 15x.

The expense of catering a celebration for x guests fewer than 150 is denoted by the formula: C(N(x)) = 2295 - 15x, which equals $2295 minus $15 for each guest fewer than 150. This expression provides the total expense of catering for the number of guests defined by the function N.(x). For instance, if the event has 50 guests, then x = 100 and the expense of catering for 50 guests.

C(N(100)) = 2295 - 15(100)

= 2295 - 1500

= 795

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Answer:

105 ≤ x ≤ 255

Step-by-step explanation:

Given that :

Let weight range = x

130 ≤ x ≤ 280

Total weigh of gear = 25 pounds

The weight range without gear that is acceptable :

130 - weight of gear ≤ x ≤ 280 - weight of gear

130 - 25 ≤ x ≤ 280 - 25

105 ≤ x ≤ 255

Answer:

$18.28

Step-by-step explanation:

To complete this problem is a straightforward answer:

First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!

Answer:

0.0106

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

25% is equal to .25 in decimal form.

You simply multiply the decimal by the number you're trying to get the percentage from. .25 times 20=5.

Answer:

13

Step-by-step explanation:

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