What is the quotient of the synthetic division problem below, written in
polynomial form?
3 -2 15
-22
-16
A.2xd 121xr 41
B=
2,219x15
C. 2y 1 9g
40
D
2y7 - 21x 40

Step-by-step explanation:

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Answer:

7 hours

Step-by-step explanation:

just multiply 3 and 7 to get 21

Answer:

[tex]\fbox {7 hours}[/tex]

Step-by-step explanation:

⇒ Rate = -3F/hour

⇒ Starting : -21F

Solving :

⇒ -21/-3

⇒ 7 hours

[tex] \frac{ - 3}{5} \\ [/tex]

because , in the third quadrant , the value of cos is negative. Moreover , we can find the third side of the triangle using Pythagoras theorem.

then ,

[tex] \cos(\theta) = \frac{base}{hypotenuse} \\ \\ \dashrightarrow \: \cos(\theta) = \frac{ - 3}{5} [/tex]

hope helpful.

The answer is cos 0 = -3/5

Given :

tan 0 = 4/3 and is in the 3rd quadrant

this implies that both the perpendicular and base are negative.

Perpendicular = -4

Base = -3

Hypotenuse = [tex]\sqrt{(perpendicular)^{2} + (base)^{2} }[/tex]

Hypotenuse = [tex]\sqrt{(-4)^{2} + (-3)^{2} }[/tex]

Hypotenuse = [tex]\sqrt{25} = 5[/tex]

cos 0 = [tex]\frac{Base}{Hypotenuse}[/tex]

cos 0 = -3/5

Therefore, cos 0 = -3/5

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Answer:

k = 11, if I understand the question.

Step-by-step explanation:

Please rephrase the question if my interpretation is incorrect.  (BTW, isn't (k,9) a dog?)

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

I'll assume that we want to find the value of k as given by the equation of a line that has a slope of (1/2).  

Let's determine if we can establish an equation with what we know:

1.  It goes through point (3,5), and

2.  It has a slope of (1/2)

We'll look for a line with the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

From (2) we know y = (1/2)x + b.

We can find b by using the one known point that lies on the line (3,5).  Use y = (1/2)x + b, insert the point (3,5), and solve for b:

y = (1/2)x + b

5 = (1/2)(3) + b

5 = 1.5 + b

b = 3.5

The line is y = (1/2)x + 3.5.

Now use the point (k,9):

y = (1/2)x + 3.5

9 = (1/2)k + 3.5

(1/2)k = 5.5

k = 11

The point is (11,9) so k = 9

See the attached graph.

The Range of the function is  {y|y is a real number} , Option D is the correct answer

Range of a function is all the value a function can obtain.

From the figure it can be seen that the graph is moving slowly in either direction.

It extends from -∞ to +∞ ,

Therefore ,  {y|y is a real number} , Option D is the correct answer.

The complete question is

The graph shows a vertical translation of y = ³√x

What is the range of the translated function?

{y|y < 0}

{y|y ≥ 0}

{y|y is a natural number}

{y|y is a real number}

The image of the translated function is attached.

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Answer:

Length = 16 yds

Width = 13 yds

Step-by-step explanation:

P = 2w + 2l

l = w + 3

58 = (2w + 2(w + 3))

58 = 4w + 6

52 = 4w

w = 13

L = w + 3

= 13 + 3

= 16

The length and width of the rectangle are 16,13yd.

The Length and Width of the rectangle can be found as:

The length of the rectangle is 3yds longer than the width which means length = w+3

and the perimeter is given by 58yd

Let W be the width and L be the length

We know that the perimeter of a rectangle is 2(L+w)

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle

2(w+w+3)=58

2(2w+3)=58

2w=29-3

w=13

then the length of the rectangle will be w+3

                                                              13+3 = 16

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Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

When two lines cross at a single point, a linear pair of angles is generated. If the angles are next to each other after the two lines intersect, they are considered to be linear pairs. The total of the angles of a linear pair is always 180°. These angles are also referred to as supplementary angles.

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Answer:

3rd answer

Step-by-step explanation:

Pay attention to the arcs,  minor arcs are less than 180 degrees

The value of x is 60

The complete question is added as an image

From the image, we have:

ABD = 30

DBC = x

The sum of complementary angles is 90.

So, we have:

30 + x = 90

Subtract 30 from both sides

x = 60

Hence, the value of x is 60

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It is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.

When the numerator and denominator of improper fractions are in whole number form, it makes the division a lot easier.

For example;

what is the simplest form of 0.1/0.2?

To obtain the simplest form of the above function, we multiple the numerator and denominator by 10.

= (0.1 x 10)/(10 x 0.2)

= 1/2

Note: introducing factor of 10 to both numerator and denominator has not changed the function.

Thus, it is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.

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Answer:

B or 40.67mph

Step-by-step explanation:

To solve we will use formula distance over total time, so are distance is 183miles and are time is 4 hours and 30 minutes. If we put that in hours we get 4.5 hours. Now we simply divide 183/4.5 to get about 40.67 .

The 9th percentile of the bill amounts is 81.0634.

Population mean, µ = 110.56

Population standard deviation, σ = 22

a) p = 0.09

Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408

Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634

9th percentile = 81.0634

b) p = 0.66

Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125

Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342

66th percentile = 119.6342

c) Median = 0.50

Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0

Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56

Median = 110.56

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The confidence interval is  0.028, 0.872

862 of 1013 randomly selected adults  wear seat belts.

The 95% confidence interval for the proportion of adults who always wear seat belts.

A Confidence Interval is defined as a range of values we are sure our true value lies within it.

A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.

= 862/1013 = 0.85

At a 95% confidence interval ,the critical value is [tex]z_{0.025} = 1.96[/tex]

The 95% confidence interval for proportion is

[tex]\widehat p +/- z0.025 * sqrt(\widehat p * (1 - \widehat p)/n)[/tex]

[tex]= 0.85 +/- 1.96 * sqrt(0.85 * (1 - 0.85)/1013)[/tex]

[tex]= 0.85 +/- 0.022[/tex]

= 0.028, 0.872

The sample should use at least 10 successes and 10 failures.

[tex]n * \widehat p = 1013 * 0.85 = 861 > 10[/tex]

[tex]n * (1 - \widehat p) = 1013 * 0.15 = 152 > 10[/tex]

As the sample size is larger, we can use an approximate formula for the standard error.

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y = x²  is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)

The standard equation of a parabola is given by

y =a(x-h)² +k

Vertex at h , k

It is given that It has to be chosen from the options that whose parent function is

y = x²

As the plot of the first option is done , which is shown in the figure ,

The parabola is given by

y = (x +1)² +2

and the parent function is y = x²

Therefore the Option 1 is the answer.

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[tex]\mathbf{\frac{23}{90}}[/tex] fraction of all shapes are circles.

Given that the ratio of the number of white shapes to black shapes is 7:3

Let the number of white shapes be [tex]7n[/tex]

Then the number of black shapes be [tex]3n[/tex]

So total number of shapes [tex]=7n+3n=10n[/tex]

Now ratio of white circles to white squares is 2:7

So the fraction of circles to all white shapes [tex]=\frac{2}{2+7}=\frac{2}{9}[/tex]

Hence the number of white circles [tex]=\frac{2}{9}\times7n=\frac{14n}{9}[/tex]

Again given that the ratio of black circles to the number of black sqaures is 1:2

So the fraction of circles in all black shapes [tex]=\frac{1}{1+2}=\frac{1}{3}[/tex]

The number of black circles [tex]=\frac{1}{3}\times3n=n[/tex]

Total number of circles [tex]=\frac{14n}{9}+n=\frac{14n+9n}{9}=\frac{23n}{9}[/tex]

The fraction of all shapes are circle is [tex]=\frac{\frac{23n}{9}}{10n}=\frac{23n}{90n}=\frac{23}{90}[/tex]

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Answer:

B. shifting

Step-by-step explanation:

When the price is rising or shifting higher, the demand curve moves to the left. But, t here is a corresponding change in the demand curve in that scenario while the cost stays unchanged. Since it relies on variables other than price, the simultaneous shift might go either left or right. However, the upward-pointing line depicts a rise in price and a fall in supply. 

The information we can see from the given data is that the speed of Julie is three times the speed of Bailey.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

The speed of Bailey = x miles

The speed of the Julie = 3x miles

The ratio of the speeds will be given as:-

J / B = 3x / x

J / B = 3

J = 3 B

Therefore information we can see from the given data is that the speed of Julie is three times the speed of Bailey.

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[tex]\huge\purple{Hi!}[/tex]

Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.

Answer:

C)

Step-by-step explanation:

Prime factorize.

A) √30 is in its simplest form.

[tex]B) \sf \sqrt{45}= \sqrt{3*3*5} = 3\sqrt{5}\\[/tex]

[tex]C) \sqrt{75}=\sqrt{3*5*5}=5\sqrt{3}[/tex]

So, option C

The simplified expression of 5√3 is √75.

Hence, Option C is correct.

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

The given expression is,

5√3

So it can be written as,

⇒√5² x √3

⇒ √25 x √3

Since we know that,

Square roots are multiplied by both the whole number component and the square root component individually.

Therefore,

⇒√(25x3)

⇒√75

Thus,

5√3  = √75

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Step-by-step explanation:

[tex] = \frac{ \sqrt{12} }{ \sqrt{6} } [/tex]

[tex] = \sqrt{ \frac{12}{6} } [/tex]

[tex] = \sqrt{2} [/tex]

The answer is A.

The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.

The complete question is attached below.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of trapezoid and square.

Then the area of the geometry will be

Area = Area of trapezoid + Area of square

Area = 1/2 x (3 + 9) x 5 + 3 x 3

Area = 30 + 9

Area = 39 square meters

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Answer:

1.1, 1.2, 1.3, 1.4, 1.5     or        11/10, 12/10, 13/10, 14/10, 15/10

Explanation:

Rational numbers can be expressed as fractions (p/q), decimals, whole numbers, natural numbers, integers.

Some rational numbers between 1 and 2 are: -

1.05, 1.1, 1.15, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.95, 1.97

Five rational numbers are

Let's check

Remove root over and simplify 1+cot²Ø

Putting root over

Sin can be found also along with csc

Answer:

  (b)  y = 18/x; y = 9/4

Step-by-step explanation:

Different kinds of variation are generally described by the equation ...

  y = k·( ) . . . . . . . where k is the constant of proportionality

__

What goes in parentheses depends on the kind of variation. Here is a partial list of kinds that may be seen in algebra problems.

The value of k can be found by solving the variation equation with given values of the variables.

__

The variables x and y are said to vary inversely, so the appropriate equation is ...

  y = k(1/x) = k/x

Using the given values, we can find k:

  9 = k/2

  9·2 = k = 18

So, the equation is ...

  y = k/18

__

Using the above equation, the value of y for x=8 is ...

  y = 18/8 = 9/4

Note: you can also get there by realizing that x=8 is 4 times x=2, so the new value of y will be the old value of y multiplied by the inverse of this factor. 1/4 times the old value of y: (1/4)9 = 9/4.