Find the number of real number solutions for the equation. x2 − 2x + 9 =0
Possible answers-
:2
:0
:1

Answer:

The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Step-by-step explanation:

If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:

70 degrees and its corresponding angle (also 70 degrees)

x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)

Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:

x = 70 degrees

y = 180 - x = 180 - 70 = 110 degrees

To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:

z + 70 + 70 + 110 = 360

z + 250 = 360

z = 110 degrees

Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Answer:

Step-by-step explanation:

1.50/6 = 0.25

3/5 = 0.6

0.25*2 = 0.5

0.6*3 = 1.8
1.80+0.50 = 2.30

$2.30

Answer:

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

30+30+w+x+y+z = 360 (all angles round a point add up to 360)

Simplifying :

60 + w+x+y+z = 360

Subtracting 60 from both sides :

w+x+y+z = 300

Hope this helped and brainliest ?

Sum of entire angle=360°

so

Note that in the prompt above, the value of x is given as: 16°

To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.

As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

In ΔAOB

OA =  OB = R, the radius of the circle O,

therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.

Thus, ∠OAB = ∠OBA = 53°

Sum of all the angles of a triangle = 180°

∠O + ∠AOB + ∠OBA = 180°

We know ∠AOB = ∠OBA, therefore,

∠O + 2(∠AOB) = 180°

∠O + 2(53°) = 180°
∠O = 180 - 106

∠O = 74°

In ΔOBC,

BC is the tangent to the circle O, therefore,

∠OBC = 90°

Sum of all the angles of a triangle = 180°

∠O + ∠OBC + ∠OCB = 180°

74° + 90° + ∠OCB = 180°

∠OCB = 180° - 74° - 90°

∠OCB = 16°

Hence, the value of x is 16°.

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The projected 2015 population is approximately 86.3 million.

A quantity experiences exponential growth when the rate of increase is proportionate to its existing value. Exponential growth is used in population studies to simulate how populations increase through time under the assumption that growth is constant. Studies on population utilise exponential growth to predict future population numbers and examine how various factors affect population increase.

The exponential growth is given as:

\(Nt = N0 * e^{(kt)}\)

Here, t = 2015 - 2004 = 11 years.

Substituting the values, we get:

\(Nt = 70.5 * e^{(0.0141*11)}\)

Nt = 86.3 million

Hence, the projected 2015 population is approximately 86.3 million.

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I think its 2.8.

Reason why:

4/5 = 0.8

Then the 2 would a whole number...

so 2.8.

Answer:

Part a:

Since the calculated z= 8.1649 falls in the critical region  z < ± 1.28 we reject H0 and conclude that the assembly time using the new method is faster.

Part b:

P (Type II Error)=  0.6628

Step-by-step explanation:

The null and alternate hypothesis are

H0: μ1 ≥ μ2   against the claim Ha: μ1 < μ2

This is left tailed test

The critical region for this test at 0.10 ∝ is z < ± 1.28

The test statistic

z= x1-x2/ s/√n

z= 66-61/ 3/√24

z= 5/0.61238

z= 8.16486

Since the calculated z= 8.1649 falls in the critical region  z < ± 1.28 we reject H0 and conclude that the assembly time using the new method is faster.

Part b:

P (Type II Error)  = P ( accept H0/ H0 is false)

z ( ∝)= X-u/s/√n

1.28= X-61/0.61238

X= 61.7838

So I will incorrectly fail to reject the null as long as a draw a sample mean that greater than 61.7838

 The probability of a Type II error is given by

P (z> 61.7838-66/24)

P (z>- 0.42161)

From the tables

P (z>- 0.42161)=  0.6628

Answer:

Step-by-step explanation:

A quart is 1/4 gallon, so the total of liquid ingredients for the punch is ...

  (1 2/4 gal) +(3/4 gal) +(1 3/4 gal) = 2 8/4 gal = 4 gal

Samantha made 4 gallons of punch.

__

1 cup is 1/16 gallon, so 2 cups each for 25 students requires ...

  (1/16 gal)(2)(25) = 50/16 gal = 3 1/8 gal

Samantha made more punch than that, so there will be enough for 2 1-cup servings for each student.

The translation of a rectangle two units up and two units right is given by (x, y) ⇒ (x + 2, y + 2)

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples of rigid transformation are translation, reflection and rotation. Rigid transformation produces congruent figures.

Translation is the movement of a shape either up, left, right or down in the coordinate plane.

The translation of a rectangle two units up and two units right is given by (x, y) ⇒ (x + 2, y + 2)

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To be parallel it needs the same slope which is 8x. Now just replace the + 10 with the given y intercept.

Answer y = 8x -5

Answer:

y = 8x -5

Step-by-step explanation:

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Using the together rate, it is found that the time it would take the second pump, working alone, to fill the tank is:

B. 90 minutes

The together rate is the sum of each separate rate.

In this problem:

Then:

\(\frac{1}{150} + \frac{1}{x} = \frac{1}{60}\)

\(\frac{x + 150}{150x} = \frac{1}{60}\)

Applying cross multiplication:

\(150x = 50x + 9000\)

\(100x = 9000\)

\(x = \frac{9000}{100}\)

\(x = 90\)

Hence, it would take 90 minutes for the second pump, working alone, to fill the tank.

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Using the together rate, it is found that the time it would take the second pump, working alone, to fill the tank is:

B. 90 minutes

The together rate is the sum of each separate rate.

In this problem:

The together rate is of 1/60.

The first rate is of 1/150.

The second rate is of 1/x.

Then:

Applying cross multiplication:

Hence, it would take 90 minutes for the second pump, working alone, to fill the tank.

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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it’s C i took a benchmark and the answer was c

You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

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The sides of the rectangle should be in improper fractions, to calculate the area.

When a side has a measurement that is a mixed number, it's recommended to convert it to an improper fraction before using it in the formula for area.

To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction part and add the numerator.

Then, you put the result over the original denominator.

Once you have the sides of the rectangle as improper fractions, you can proceed to calculate the area using the formula: area = length x width.

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Answer:

a=28

Step-by-step explanation:

100^2-96^2=28

The possible polynomial function with the given properties is:

f(x) = -1/5(x2 - 10x + 16)

Now, Based on the given properties, a possible polynomial function would be:

⇒ f (x) = a(x + 2)(x - 4)

To satisfy the second-degree requirement, we need to have an x² term in the function.

By factoring the function above as shown, we can see that it has two roots: x = -2 and x = 4.

Therefore, we can say that this function has zeros at x = -2 and x = 4.

To determine the value of the coefficient "a", we can use the information that the function goes to -∞ as x → -∞.

This means that the leading coefficient of the function must be negative.

Since, we have a(x + 2)(x - 4), and the x² term has a coefficient of a, we can see that a must be negative.

To further simplify the function and reduce all fractions to lowest terms, we can distribute the negative sign and multiply out the factors:

f(x) = a(x + 2)(x - 4)

     = a(x² - 2x - 8x + 16)

     = a(x² - 10x + 16)

Therefore, The possible polynomial function with the given properties is:

f(x) = -1/5(x2 - 10x + 16)

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Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

$8,062

Step-by-step explanation:

you open the bank account with $5,800. since the interest is calculated by quarter which is 3 months, you take the interest on the $5,800 and multiply the interest rate times 3. so it would be, $5,800 + $754 + 754 + 754 = 8,062. the $754 amount is calculated by multiplying 5,800 dollars * 13% or .13

Answer:

B is greater than A by 1/4 of A

Step-by-step explanation:

Let's use the information given in the problem to write expressions for the values of a and b:

a = b - (1/5)b = (4/5)b

b is greater than a by the difference:

b - a = b - (4/5)b = (1/5)b

To express this difference as a fraction of a, we divide by a:

(b - a)/a = ((1/5)b)/((4/5)b) = 1/4

Therefore, b is greater than a by 1/4 of a.

Answer:

Step-by-step explanation:

The division verification is 81×24+3 = 1,947.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, Ultimate Fashion have a digital clock on the door counting down the number of hours until the grand opening.

The clock currently shows 1,947 hours.

Becky divided 1,947 hours by 24 hours.

That is,

24|1,947|81

    1944

_______

     3

Here, quotient =81  and remainder = 3

Verification: 81×24+3 = 1,947

Therefore, the division verification is 81×24+3 = 1,947.

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Step-by-step explanation:

x/4=9/x

x.x=4.9

x^2=36

√x=√6

x=6

Step-by-step explanation:

Since we have three sides and trying to find an angle, use Law of Cosines

\(c = \sqrt{ {a}^{2} + {b}^{2} - 2ab \times \cos(d) } \)

where c is

Solving for the angle d.

\( \cos {}^{ -1 } (( \frac{ {c}^{2} - {b}^{2} - {a}^{2} }{ - 2ab} ) = d\)

where d is in degrees

The angle d is the opposite of the side c.

It does not matter what a and b is(they can be either 4 or 5)

let

c=7

a=4

b=5

\( \cos {}^{ - 1} ( \frac{ - 1}{5} ) = d\)

This angle must be within 0 and 180

We get

\(d = 101.54\)

Answer:

A Positive

Step-by-step explanation:

Two negatives cancel out and make a positive.

For example: -5  x -6 = 30