Using the diagram below, find the measure of angle A.
A
101°
92°
B
68°
C

Answer:

the correct answer is c (x+8)

Step-by-step explanation:

x+8=0

=x= -8

put x= -8 in the given polynomial

(-8)²+5(-8)-24

= 64-40-24

=24-24= 0

Data definition involves describing the properties of the data that go into each database table, specifically the fields or columns that make up the database.

What is a field record table and query?

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The true statement for f(x) = 2(3)^x is the y-intercept is (0, 2).

The function is given as:

f(x) = 2(3)^x

Set x = 0 to determine the y-intercept

f(0) = 2(3)^0

Evaluate

f(0) = 2

This means that the y-intercept of f(x) = 2(3)^x is (0,2)

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The average rate of change will be 5 miles per hour from 0.75 to 1 hour.

The average rate of change is the ratio of change in the y-value or the function value by the change in the x-value.

So according to the question,

the interval between 0.75 to 1 hour is =1-0.75=0.25 hour.

At 0.75 hours elapsed, the distance traveled is 3.5 miles

at 1 hour elapsed, the distance traveled is 4.75miles.

during the interval, 0.75 hours to 1-hour distance travelled=4.75-3.5=1.25 miles.

the average rate of change will be = change in distance traveled during the interval/interval time.

=(4.75-3.5)/(1-0.75)=1.25/0.25=5 miles per hour

Therefore the average rate of change will be 5 miles per hour from 0.75 to 1 hour.

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Answer:

B

Step-by-step explanation:

If you don’t want to read

When sampling is finished without replacement, each member of a population could also be chosen just once. during this case, the chances for the second pick are full of the results of the primary pick. The events are considered to be dependent or not independent.

lets understand with the help of an Example

You have a good, well-shuffled deck of 52 cards. It consists of 4 suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) of that suit.

Sampling without replacement:

Suppose you decide three cards without replacement. the primary card you choose out of the 52 cards is that the K of hearts. you place this card aside and pick the second card from the 51 cards remaining within the deck. it's the three of diamonds. you place this card aside and pick the third card from the remaining 50 cards within the deck. The third card is that the J of spades. Your picks are . Because you have got picked the cards without replacement, you can not pick the identical card twice.

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The y-intercept which is the point at which x = 0 is; A: -10

The general form of an equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

We are given the slope;

m = -4

Now, the line passes through the point 0, -10. Thus;

(y - y1)/(x - x1) = -4

(y + 10)/(x - 0) = -4

y + 10 = -4x

y = -4x - 10

Thus, the y-intercept which is the point at which x = 0 is; y = -10

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The probability that the student will pass the test is 0.057

In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli,[1] is the discrete probability distribution of a random variable which takes the value 1 with probability [tex]p[/tex] and the value 0 with probability [tex]{\displaystyle q=1-p}[/tex]. Less formally, it can be thought of as a model for the set of possible outcomes of any single experiment that asks a yes–no question. Such questions lead to outcomes that are boolean-valued: a single bit whose value is success/yes/true/one with probability p and failure/no/false/zero with probability q.

The student will pass if he at least answers 14 questions correctly .

This can be written as a Bernoulli distribution function [tex]P(Q=i)= 20C_{i} (\frac{1}{2} )^i(1-\frac{1}{2} )^(20-i)[/tex]

P(Q≥ 14) = P(Q=14) + P(Q=15) + P(Q=16) +P(Q=17) + P(Q=18)+ P(Q=19) +   P(Q=20)

 P(Q=14) = 20[tex]C_{14}[/tex][tex](1/2)^{20}[/tex]

 P(Q=15) = 20[tex]C_{15}[/tex][tex](1/2)^{20}[/tex]

 P(Q=16) = 20[tex]C_{16}[/tex][tex](1/2)^{20}[/tex]

 P(Q=17) = 20[tex]C_{17}[/tex][tex](1/2)^{20}[/tex]

 P(Q=18) = 20[tex]C_{18}[/tex][tex](1/2)^{20}[/tex]

 P(Q=19) = 20[tex]C_{19}[/tex][tex](1/2)^{20}[/tex]

 P(Q=20) = [tex]20C_{20}(1/2)^{20}[/tex]

On summing up all we get,

P(Q≥ 14) = (38760 + 15504 + 4845+ 1140 + 190 + 20 + 1)/2^(20)

= 15115/262144=0.057

Thus the probability that the student will pass the test is 0.057

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Here,

y=mx+c

the slope of the line 6x+4y= -16 is -20.

if the two lines are perpendicular, the slope of 1st line * slope of second line=-1

the slope of the 2nd line is -1/2

y-y1=m(x-x1)

y-13=-1/2(x- -18)

when you solve, you get the equation of the line as 2y+x=50

In basic geometry, if two geometry objects intersect at right angles (90 degrees or π / 2 radians), they are vertical.

If two lines intersect at right angles, the line is perpendicular to another line. Explicitly (1) if two lines intersect, the first line is perpendicular to the second line. (2) At the intersection, the straight line angle on one side of the first line is cut by the second line into two congruent angles. Verticality can be shown as symmetric. That is, if the first line is perpendicular to the second line, then the second line is also perpendicular to the first line. Therefore, two straight lines can be said to be perpendicular (to each other) without specifying the order.

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Barack be able to bring 1029 dirham with him.

The amount of one currency needed to buy items in another is shown by conversion rates.

Currency rates and spot prices on the foreign exchange market are comparable to conversion rates.

In relation to supply and demand, conversion rates are impacted.

Governments and central banks implement policies in response to supply and demand dynamics that affect the conversion rate.

According to the question,

The conversion rate from cad to uae dirham is 2.94

Money, in dirham,  Barack would be able to bring with him,

=(350*2.94) dirham

=1029 dirham

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If they sell all the pancakes, they will win $7

We know that they can make a batch of 14 pancakes, such that each one can be sold for $0.50

Then the total amount that they get if they sell all the pancakes is given by the product:

P = 14*$0.50 = $7

If they sell all the pancakes, they will win $7

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Yes, the planner has met the minimum height, as the minimum height was 9 feet and the maximum height of the arc is 9.6 feet

As we can see that at the mid value, for x=4, the value of f(x)=9.4

It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.

It means that the planner has met the minimum height, as the minimum height was 9 feet and the maximum height of arc is 9.6 feet

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Answer: 115.5 cubic m

Step-by-step explanation:

[tex]V=\frac{1}{2}(7)(11)(3)=115.5[/tex]

The approximate measure of angle G is 41.4°. The correct option is C. 41.4°

From the question, we are to determine the measure of angle G

From the law of cosines, we can write that

[tex]cos\ G =\frac{e^{2}+f^{2}-g^{2} }{2ef}[/tex]

In the diagram,

e = 12

f = 10

g = 8

Putting the values into the equation

[tex]cos\ G =\frac{12^{2}+10^{2}-8^{2} }{2\times 12 \times 10}[/tex]

[tex]cos\ G =\frac{144+100-64 }{240}[/tex]

[tex]cos\ G =\frac{180}{240}[/tex]

cosG = 0.75

G = cos⁻¹(0.75)

G = 41.4°

Hence, the approximate measure of angle G is 41.4°. The correct option is C. 41.4°

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area = pi * r^2

here, the radius is 2 as its the diameter/2.

so the area is 4pi.

circumference = 2*pi*r.

so the circumference is 4pi as well.

The probability of at least one of them being a physics instructor is 120 ways to form the committee.

Sometimes, simply the occurrence of the event at least once matters when computing independent events. The "At Least One" Rule is used to describe this. The complement of the probability of the event never occurring will be used to calculate the probability of the event occurring at least once.

There are five chemistry instructors and six physics instructors at a college. If a committee of four instructors is selected.

Starting with 6, choose two because we require at least two professors. Let's move on to the remaining 8 individuals (there were initially 10, but now there are just 8): and select 3.

6 select 2; 8 select 3

15×56 =840

We then chose 5 individuals from a group of 10, at least 2 of whom were lecturers.

(9) = 20 options for selecting the professors. 3

(3) = 6 options for selecting the professors.

(9) (¹) = 20 × 6 = 120 ways.

Therefore, 120 ways to form the committee.

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Complete question:

There are five chemistry instructors and six physics instructors at a college. If a committee of four instructors is selected, find the probability of at least one of them being a physics instructor?

• Using distributive property

[tex]6x + 6 = 3x - 15[/tex]

• Solving the like terms

[tex]6x - 3x = - 15 - 6[/tex]

[tex]3x = - 2 1[/tex]

[tex]x = - \dfrac{21}{3} [/tex]

[tex]x = - 7[/tex]

Hope it helps you any confusions you may ask!

Answer:

Horizontal reflection

Step-by-step explanation:

a math chart that was labeled had these pattern examples with the the translation and transformation.

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

In this problem we have the following relationship bewteen the two quadratic equations: g(x) = f(k · x), which means that for all y the following relationship between f(x) and g(x):

[tex]k = \frac{x_{g}}{x_{f}}[/tex]

Let suppose that y = 3, then [tex]x_{f} = - 5.5[/tex] and [tex]x_{g} = - 1.8[/tex], then the value k is:

k = (- 5.5)/(- 1.8)

k = 3.056

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

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Answer:

Step-by-step explanation:

The correct answer is D.  If we are multiplying by 10 we would move the decimal place one place to the right to show that the number is now 10 times bigger.  If we multiply by one hundred.  We are getting 100 times bigger, so we would move the decimal place 2 places to the right.

The opposite is true if we are dividing.  Instead of moving the decimal to the right to show that the number is getting bigger, we move to the left to show that the number is getting smaller.  If we are getting smaller by 10, we would move the decimal one place to the left. In this case, we are getting 100 times smaller so we move the decimal two places to the left.

The vertex of the transformed parabola with the equation [tex]y=a(x-h)^2+k[/tex] is (h, k).

The transformation rules are:

Translation: (x, y) → (x + a, y) or (x, y) → (x - a, y) (Horizontal shift)

Translation: (x, y) → (x , y + b) or (x, y) → (x , y - b) (Vertical shift)

It is given that, the transformed parabola is [tex]y=a(x-h)^2+k[/tex]

This parabola has vertex at (h, k).

Since this equation is obtained by shifting h units horizontally and k units vertically.

So, the original vertex is at (h - h, k - k) = (0, 0)

Thus, the equation of the actual parabola is [tex]y=ax^2[/tex]

Therefore, the given transformed equation of parabola has vertex (h, k).

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Answer:

B] (h,k)
The next answer is Vertex (-5, -4)

☆
EDGE2022; Good luck :3!!!!

Answer:

4a²*(9a + 3)

Step-by-step explanation:

Prime factorize 32 and 12. Then find GCF.

 32a³ = 2 * 2 * 2 * 2 * 2  * a³

12a²  = 2 * 2 *  3 * a²

GCF = 2 * 2 * a² = 4a²

32a³ + 12a² = (4a²*9a) + (4a²*3)

                   =4a²*(9a + 3)

Answer: A

Step-by-step explanation:

See attached image.

The product of a complex number and its conjugate is (a + i b) · (a - i b), where a and b are real numbers, and the result for the complex number 2 + i 3 is 13.

Let be a complex number a + i b, whose conjugate is a - i b. Where a and b are real numbers. The product of these two numbers is:

(a + i b) · (a - i b)

Then, we proceed to obtain the result by some algebraic handling:

a · (a + i b) + (- i b) · (a + i b)

a² + i a · b - i a · b - i² b²

a² - i² b²

a² + b²

If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:

[tex]z\cdot \bar z = 2^{2} + 3^{2}[/tex]

[tex]z\cdot \bar z = 13[/tex]

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Answer:

(C) reflection of f(x) = 5x² across the x-axis and translated down 2 units

Answer:

she rides her bike at a rate of 8mph during the second part of the trip.

Step-by-step explanation:

for the first part of the trip, she rides 18 miles in 2 hours which means that she bikes at a rate of 9 miles per hour.

subtracting 18 from 58 gives us the distance she biked during the second part of her trip (which is 40 miles). subtracting 2 from 7 gives us that she biked for 5 more hours. Putting this together means she biked 40 miles in 5 hours.

Now divide miles by hours [tex]\frac{40mi}{5hrs} =8mph[/tex] to get your average rate of change for the second part of the trip.

Answer:

c

Step-by-step explanation:

Starting price is $5.50. And for every mile it costs $1.50.

Answer:

Total cost is $177.50.

Step-by-step explanation:

Rackets:

Divide the cost for racket by 6 to find the cost per racket.

186÷6=31

Multiply 31 by 5 to find the cost for 5 rackets.

31×5=155

$155

Tubes of balls:

Divide 27 by 6 to find the cost per a tube of balls.

27÷6=4.50

Multiply 4.50 by 5 to find the cost for 5 tubes of balls.

4.50×5=22.50

$22.50

Add the amounts for rackets and tubes of balls to find the total cost.

155+22.50=177.50

The total cost is $177.50.

Hope this helps!

Answer:

width is 8, length is 32

Step-by-step explanation:

* = multiply or times

Let the width be x, then the length would be 4x

Perimeter = 2*length+2*width

80 = 2*4x+2*x

80 = 8x+2x

80 = 10x

8 = x (width)

32 = 4x (length)

Answer:

60%

Step-by-step explanation:

324/540 x100=60%

Np!

Answer:

f[g(x)] = 6x + 47

Step-by-step explanation:

The expression f[g(x)] represents a composite function. You need to plug the function g(x) into the "x" value of the f(x) function. Then, you can simplify.

f(x) = 6x + 11               g(x) = x + 6

f[g(x)]                                                    <----- Composition expression

f[g(x)] = 6(x + 6) + 11                             <----- Plug g(x) into x

f[g(x)] = 6x + 36 + 11                             <----- Multiply terms in parentheses by 6

f[g(x)] = 6x + 47                                  <----- Add 36 and 11