There were 39 apples and 29 oranges at the grocery store. Write the ratio of apples to oranges

Using the law of sines, equation A). [tex]\frac{sin(51)}{2.6} = \frac{sin(76)}{z}[/tex] is correct and can be used to solve for the value of z.

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides. It is also known as the sine rule.

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Similarly, In triangle XYZ,

[tex]\frac{sin(51)}{2.6} = \frac{sin(76)}{z}=\frac{sin(53)}{x}[/tex]

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Answer:

13 = x      15 - x = 2

Step-by-step explanation:

15-x=2

15-13=2

9514 1404 393

Answer:

  a) f(-2.5) = 62.6875; f(-1.5) = -13.0625; (-2.5, -1.5) contains a real root

  b) there are 1 each of positive and negative real roots; 2 complex roots

  c) -2 and 1/3 are the rational real roots

  d) x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}

Step-by-step explanation:

a) f(-2.5) = 62.6875; f(-1.5) = -13.0625. The function changes sign between -1.5 and -2.5, so there is a real root in that interval.

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b) The given coefficients have one sign change, so there is one positive real root. Changing the signs of odd-degree terms makes the signs + - + - -, so there are three sign changes. There are 1 or 3 negative real roots, and possibly 2 complex roots. The constant term is non-zero, so zero is not a root. Here's your table:

  positive real roots: 1

  negative real roots: 1 or 3

  complex roots: 2 or 0

  zero roots: none

The graph is attached. It shows 2 real roots, one positive and one negative, so there are 2 complex roots. (There are 4 roots in total, so if only 2 are real, the other 2 are complex.)

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c) Possible rational roots are of the form ...

  ±{1, 2}/{1, 3, 9}

Listed, they are ...

  ±{1/9, 2/9, 1/3, 2/3, 1, 2}

The actual real roots are -2 and 1/3.

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d) The graph shows the real roots to be -2 and 1/3. The original leading coefficient of 3 is the product of the leading coefficients of the factors. Writing the factor (x -1/3) as (3x -1) lets us reduce the leading coefficient of the quadratic term from 9 to 3. The result of dividing factors (x+2) and (3x-1) from the original function is shown in the attachment. It is a parabola with vertex (-1/3, 2/3), so the factorization is ...

  f(x) = (x +2)(3x -1)(3(x +1/3)² +2/3)

The roots of the quadratic term are ...

  3(x +1/3)² = -2/3

  x +1/3 = ±√(-2/9)

  x = (-1 ±i√2)/3

So, the entire list of roots is ...

  x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}

_____

Additional comment

The roots of a quadratic are easily found by knowing its leading coefficient and its vertex. If factoring known real roots from a higher-degree polynomial results in a quadratic, then the remaining complex roots are easily found. A graphing calculator is a wonderful tool for this process.

Answer:

1239.3 cm^3

Step-by-step explanation:

The volume of a cone is 1238.7 cm³.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is (1/3)πr²h.

We have,

Height = 17.6 cm

Diameter = 16.4 cm

Radius = 16.4/2 = 8.2 cm

Now,

The volume of a cone = (1/3)πr²h.

V = 1/3 x 3.14 x 8.2 x 8.2 x 17.6

V = 1238.87 cm³

Thus,

The volume of a cone is 1238.7 cm³.

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Answer:

y = 60°

x = 12

Step-by-step explanation:

opposite angles of a parallelogram are equal

opposite sides of a parallelogram are equal

Answer:

The answer is B

Step-by-step explanation

As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.

Answer:

x = -1

Step-by-step explanation:

Answer:

Variability

Step-by-step explanation:

Variability in simple terms may be described as differences in measurement or reading of a certain construct or phenomenon. Variability measures include range, standard deviation or variance. In most cases, variation or degree of Variability is measured about a central value called the mean. This is because same measurement about a certain phenomenon or study would usually not yield the same result value. Hence, the mean is used to record the average of these measurement and the differences in each measurement from the mean is also recorded, this is called the standard deviation which is a Variability measure.

Thus VARIABILITY means successive observation of a phenomenon do not yield exactly the same result.

Answer:

2

Step-by-step explanation:

Answer:

First the line is positive so you can eliminate all negative choices for slope

Now start from a random point that lands on the graph

Now it can’t be 1 becuase it has am extra box but that line isn’t on a point

Now 1/2 it can’t be becuase if you rise 1 and go right 2 it’ll not land ona. Point

But for 2, you rise up 2 and right 1 and you land on a point on the graph so the final answer is 2

Answer:

The cost of 80 oranges =  480 nairas

Step-by-step explanation:

Given

The cost of 5 oranges = 30 naira

Determine

The cost of 80 oranges

Given that the cost of 5 oranges = 30 naira

so,

Unit rate = 30 nairas / 5 oranges

               = 6 nairas per orange

∴ The cost of 1 orange = 6 nairas

As the cost of 1 orange = 6 nairas

Thus,

The cost of 80 oranges = 6 × 80 = 480 nairas

Hence,

The cost of 80 oranges =  480 nairas

Answer:

8 hours

Step-by-step explanation:

it can't be 36 as the answer, and the next multiple before 36 is 32. And if you do 32 divided by 4 then you get 8. The answer is 8 hours.

Answer:

[tex]c = 2[/tex]

Step-by-step explanation:

In order to find the answer to this question you must add 7 on both sides.

[tex]c-7=-9[/tex]

[tex]+ 7 + 7[/tex]

[tex]-9 + 7 = -2[/tex]

[tex]c = -2[/tex]

Hope this helps.

Answer:

2.53%

Step-by-step explanation:

all you have to do is 1 / 39.51 = about 0.0253 = 2.53%

Answer: 10%×$650=$585

$585-$450=$135 Mark up.

HOPE THIS HELPS

Answer:

[tex]P(x = 1) = 0.10[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccc}x & {1} & {2} & {3} & {4} \ \\ P(x) & {0.10} & {0.30} & {0.40} & {0.20} \ \ \end{array}[/tex]

Required

Determine the probability of selling exactly 1 batch

This probability is represented with [tex]P(x = 1)[/tex]

From the table:

When x = 1; P(x) = 0.10

Hence:

[tex]P(x = 1) = 0.10[/tex]

In other words, the probability of selling exactly 1 is 0.10

Answer:

x=2y

Step-by-step explanation:

9514 1404 393

Answer:

  second step is wrong; x = 5

Step-by-step explanation:

The correct solution is ...

  3(x -3) +9 = 15

  3x -9 +9 = 15 . . . . . . . not 3x -3

  3x = 15

  x = 5

_____

Jeremy did what a lot of students do -- failed to apply the outside factor to all of the terms in parentheses.

Answer: -25•2^n-1 is the awnser

The explicit formula of the geometric sequence is -25 × 2ⁿ⁻¹.

Let's find the explicit formula for the geometric sequence as follows:

-25, -50, -100,- 200, ...

Using the geometric sequence formula,

nth term = arⁿ⁻¹

where

Therefore,

a = -25

r = -50 / -25 = 2

Hence,

nth term = -25 × 2ⁿ⁻¹

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Answer:0

Step-by-step explanation:

Annually compounded interest: 4,031.75

Simple interest: 3,900.00

Answer:

384 cm^3

Step-by-step explanation:

(16 times 4) times 6 = 384   :D

Answer:

Step-by-step explanation:

There are 12 months in one year, so there would be 12*y in y years.

Answer:

there 12 months in one 1 year

Step-by-step explanation:

Answer: [tex]0.416655[/tex]

Step-by-step explanation:

If random variable X has the binomial distribution B(n, p), then

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]

, where  n= Total number of trials, x = number of successes , p= probability of success in each trial.

Given: The random variable R has the binomial distribution B (12,0.35).

n= 12, = 0.35

[tex]P(R>4)=1-P(R\leq4)\\\\=1-[P(R=0)+P(R=1)+P(R=3)+P(R=4)]\\\\\\=1-[^{12}C_0(0.35)^{0}(1-0.35)^{12}+^{12}C_1(0.35)^{1}(1-0.35)^{11}+^{12}C_2(0.35)^{2}(1-0.35)^{10}+^{12}C_3(0.35)^{3}(1-0.35)^{9}+^{12}C_4(0.35)^{4}(1-0.35)^{8}]\\\\= 1-[(1)(0.65)^{12}+(12)(0.35)(0.65)^{11}+\dfrac{12!}{2!10!}(0.35)^2(0.65)^{10}+\dfrac{12!}{9!3!}(0.35)^3(0.65)^{9}+\dfrac{12!}{8!4!}(0.35)^4(0.65)^{8}]\\\\=1-0.583345\\\\\approx0.416655[/tex]

Hence, P(R>4)=0.416655

Answer:

3

Step-by-step explanation:

_+(-4) = -1

_-4 = -1

_ = 3

Answer:

it is %224 profit on the skates

Step-by-step explanation:

Answer:

42/55

Step-by-step explanation:

6/5 times 7/11 = 42/55

Answer:

-2

Step-by-step explanation:

2-4=-2