What is the measure of angle A?


250

140

70

110

Answer: 208

Step-by-step explanation:

[tex]\frac{p}{-1+17} =13[/tex]

[tex]\frac{p}{16} =13[/tex]

[tex](16)\frac{p}{16} =13(16)[/tex]

[tex]p=13*16[/tex]

[tex]p=208[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{p}{-1}+17=13 \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply \ the \ properties \ of \ fractions: \frac{a}{-b}=-\frac{a}{b}. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=-\frac{P}{1} } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply\:the\:rule \:\frac{a}{1}=a} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Subtract \ 17 \ from \ both \ sides. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Divide\:both\:sides\:by\:-1} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]

Answer:

16

Step-by-step explanation:

4 , 8 , 12 , 16 , 20 , ....................... ans goes on

The answer choice which describes the function is; Choice B; neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.

Rotational symmetry, otherwise termed radial symmetry, is the characteristic of a shape when it looks the same after some rotation by a partial turn. On this note, since the function represents a quartic graph, it follows that the function has neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.

Therefore, the function f(x) = −4x⁴ + 3x³ − 2x² − x + 5 is neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.

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The average rate of change of f(x) from x = 5 to x = 8 would be gotten by; B: Substituting 5 for x and 8 for h in the expression x + one-half h + 15

The difference quotient is defined as a measure of the average rate of change of a function over an interval.

The limit of the difference quotient which is the derivative is the instantaneous rate of change.

This differential quotient in calculus is usually expressed as;

[f(x + h) - f(x)]/h

We are given the differential quotient as;

f(x) = x + ¹/₂h + 15

Thus, the average rate of change of f(x) from x = 5 to x = 8 would be gotten by;

Substituting 5 for x and 8 for h in the expression x + one-half h + 15

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In accordance with the function velocity, the car will have a complete stop after 6 seconds.

Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:

0.5 · t² - 10.5 · t + 45 = 0

t² - 21 · t + 90 = 0

By the quadratic formula we get the following two roots: t₁ = 15, t₂ = 6. The stopping time is the least root of the quadratic equation, that is, the car will have a complete stop after 6 seconds.

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Answer: D

Step-by-step explanation:

The graph is narrower, so the coefficient of [tex]x^2[/tex] has an absolute value more than 1.

Also, because g(x) opens down, the coefficient of [tex]x^2[/tex] is negative.

This leaves D as the answer.

Answer:

18

Step-by-step explanation:

When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.

2*9 = 18

Children learning to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable is a true statement.

This involves the regularity or repeated way in which something is done or arranged.

Children are very inquisitive and tend to make logical connections when dealing with patterns due to their reasoning skills thereby aiding their learning process.

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Answer:

6,4

Step-by-step explanation:

I'm not sure if 4 is correct but 6 definitely is. I hope this helps

By subtracting decimals, how much farther she ran on Saturday than on Sunday is determined as: 1.078 kilometers.

When subtracting decimals, the number value is taken into consideration.

Distance ran by Keisha on Saturday = 3.218 kilometers.

Distance ran by Keisha on Sunday = 2.41 kilometers.

Subtract both decimals to determine how much farther she run on Saturday than on Sunday.

3.218 - 2.14 = 1.078 kilometers.

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Considering the p-value, the decision is described as follows:

Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].

Depends on if the p-value is less or more than the significance level:

In this problem, we have that:

Hence:

Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].

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Answer:

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

=18÷[7+2{7+2(7-6)}+2]

=18÷[7+2{7+2×1}+2]

=18÷[7+2×9+2]

=18÷[7+18+2]

=18÷27

=[tex] \frac{18}{27} [/tex]

=9 two is 18 and 9 three is 27

So,

=[tex] \frac{2}{3} [/tex]

The slope of a line parallel to this line is -5 and the slope of a line perpendicular to this line is 1/5

The slope is given as:

m = -5

Parallel line have the same slope.

So, the slope of a line parallel to this line is -5

However, perpendicular lines have their slopes to be opposite reciprocal

This means that:

The slope of a line perpendicular to this line is 1/5

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The expression to represent the information will be 2(2m + 3n + 4p)

From the information given, Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens.

There are m number of games required.

There are n number of games that require 3 token.

Therefore, the expression to represent the information will be:

= 2(2 × m) + 2(3 × n) + 2(4 × p)

= 2(2m + 3n + 4p)

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Answer:

The other person who answered is incorrect!! The real answer is 2m + 3n + 4p

Step-by-step explanation:

have a good besti!!!!

-leeknowishawt

The exact distance and direction that Patrick is from Johnny is; 177.81 ft and 215.52°

Let the distance of Johnny to Patrick be x.

The angle opposite x would be; (90 - 50) + 90 + 30 = 160°

We will therefore use the cosine rule to find x;

X² = A² + B² - 2ABcosx

Where;

A and B are the distance of Johnny to Rob and Rob to Patrick respectively. Thus;

X² = 130² + 50² - 2(130)(50)cos160

X²= 16900 + 2500 + 12216.004

X² = 31616.004

X = 177.81 ft

To get the direction "y" we will use sine rule;

50/siny = 177.809/sin160

50/siny = 177.809/0.342

50/siny = 519.9094

Siny = 50/519.904

Siny = 0.09617

y = sin⁻¹(0.09617)

y = 5.52°

The bearing of Patrick from Johnny is;

5.52 + 30 + 180 = 215.52°

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The correct option regarding the correlation coefficient is given as follows:

strong negative linear relationship between protein amount and calories.

In this problem, the coefficient is of -0.87, which is a negative value with absolute value greater than 0.6, hence the relationship is strong is the correct option is given as follows:

strong negative linear relationship between protein amount and calories.

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The Minimum Spanning Tree diagram associated with ZTX's project is indicated as attached. The total cost associated with it is $1,664,550

A graph spanning tree is a set of linked edges that encompass every vertex in the graph but do not create a cycle. A graph may have several such spanning trees.

The Minimum Spanning Tree, on the other hand, has the least cumulative edge weights.

The starting point is Seattle.

The total minimum cost is given as:
(1306 + 629 + 435 + 1983 + 1225 + 1483 + 661 + 1145 + 1709 + 183 + 338) x 150

= $1,664,550

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The simple interest rate that the money would be paid is 20%

From the question, we are to determine the interest rate that the money would be paid

Using the formula for simple interest,

S.I = PRT/100

Where S.I is the simple interest

P is the principal

R is the rate

and T is the time

From the given information,

P = 2000

S.I = Amount - Principal = 3600 - 2000 = 1600

R = ?

T = 4

Putting the parameters into the equation, we get

1600 = (2000 ×R × 4) / 100

1600 = 20 × R × 4

1600 = 80R

R = 20%

Hence, the simple interest rate that the money would be paid is 20%

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Answer:

$21.15

Step-by-step explanation:

(235)(.045)(2)

Answer:

[tex]\frac{15}{2}[/tex]

Step-by-step explanation:

The absolute value of a number is just its distance from zero. In other words, if it's negative, the absolute value would make the number positive. This makes the absolute value [tex]\frac{45}{6}[/tex]. Now, reduce to get[tex]\frac{15}{2}[/tex].

Answer:

51.6 megabytes

Step-by-step explanation:

It is asking you what 18.9 percent of 273 is. To find this you multiply 18.9 x 273 and then divide it by 100 which equals 51.597.

You then round it to the nearest tenths which gives you 51.6

The solutions to the given quadratic equation are x = -6 and x = -2

From the question, we are to solve the given quadratic equation

The given equation is

y = x² + 8x + 12

To solve the equation, we will set it equal to 0

That is,

x² + 8x + 12 = 0

Solving

x² + 8x + 12 = 0

x² + 2x + 6x + 12 = 0

x(x +2) +6(x + 2) = 0

(x +6)(x + 2) = 0

x +6 = 0 OR x +2 = 0

x = -6 OR x = -2

Hence, the solutions to the given quadratic equation are x = -6 and x = -2

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Answer: 4766125

//////////

Answer:

Step-by-step explanation:

first you we need to times 350,000 4.75 and you got 1662500 then subtract 1662500 - 13 years you got 1662487.

Answer:

obtuse

Step-by-step explanation:

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

In the above problem, it's given that one of the angles of the triangle exceeds 90° [ that is : 97° ]

[tex] \qquad \large \sf {Conclusion} : [/tex]

hence, it's an obtuse angled triangle

In order to define the quantity of which of the two website produces a larger amount of content per single writer, Charlotte thought of:

Charlotte wants to know which website has more content per writer which means that she wants to know which website is more productive with writing.

One way she can do this is to check the average number of posts per writer per website. This would show her which website has a writer that writes more content on average.

Charlotte could also use average number of words per writer. This shows just how much writing the writers in each websites are doing, in terms of words. The website with the higher average words per writer is therefore providing more content.

Options for this question include:

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Answer: the initial amount or starting point.

Step-by-step explanation:

Answer:  [tex]\displaystyle \boldsymbol{-\frac{1}{2}}[/tex]

================================================

Work Shown:

[tex]\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{1-\text{x}}{\text{x}^2-1}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-(\text{x}-1)}{(\text{x}-1)(\text{x}+1)}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-1}{\text{x}+1}\\\\\\\displaystyle L = \frac{-1}{1+1}\\\\\\\displaystyle L = -\frac{1}{2}\\\\\\[/tex]

In the second step, I used the difference of squares rule to factor.

The (x-1) terms cancel which allows us to plug in x = 1. We plug this value in because x is approaching 1 from the right side.

Answer:

  HM = 3   or   HM = 15

Step-by-step explanation:

The product of segment lengths is the same for both chords.

  FM·EM = GM·HM

  GM +HM = 18

Substituting for GM, we have ...

  FM·EM = (18 -HM)·HM

  5·9 = (18 -HM)·HM

Effectively, we want two factors of 45 that have a total of 18. Looking at the factors of 45, we have ...

  45 = 1·45 = 3·15 = 5·9

The totals of these pairs are 46, 18, 14. The factor pair we're looking for is 3·15.

Either of these factors could be HM. The other will be GM.

There is nothing in the problem description that suggests the length of HM relative to other lengths on the diagram. (We know the diagram is not to scale.) So, there are two possible solutions:

  HM = 3   or   HM = 15

The second option saves time and cleaning elements, so that one is better.

We know that every day you sell a total of 50 bowls, and each one needs 8 oz of onion, this means that you need:

50*8 oz = 400 oz

So you need 400 ounces of onion per day.

If you buy at $1.99 per pound (1 lb = 16 oz)

Then the cost per ounce is:

c = $1.99/16

And the cost of 400 ounces is:

C = ($1.99/16)*400 = $49.75

In the case of the pre-sliced onions, the total cost would be:

C' = ($2.99/16)*400 = $74.75

So in the first case, each portion costs:

$49.75/50 = $0.995

And in the second case:

$74.75/50 =$1.495

So the extra cost is returned by the extra time and savings in cleaning elements, thus, the second option is better.

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[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

There is one angle and an adjacent side of the triangle given equal to corresponding angle and side of the other triangle and if we observe the figure we can see that there's also a adjacent side XY common in both the Triangles.

Hence, the two triangles are congruent by SAS congruency criteria.

[tex] \qquad \large \sf {Conclusion} : [/tex]