How many terms are in the following expression: 8y + (2 x 11) *

1) 0
2) 1
3) 2
4) 3

Answer:

I think it would be simply 6-8

Step-by-step explanation:

becuase 6-(-8) is really 6+8, which isn't correct. It could also be 6-(8), but I'm not sure.

Answer: 0x³ - 3x² + 7x - 4

           +

               -x³ + 0x²  + 5x - 2

Step-by-step explanation:

Without spectacles, Witney Pete has a 5/10 chance of hitting the bullseye. Witney Pete could strike the bullseye with his spectacles 0.7 of the time. This likelihood is far higher than hitting the bullseye without glasses. the probability that Pete hits five or fewer of his next ten shots is approximately 2.487.

Generally, To find the probability that Pete hits five or fewer of his next ten shots, we need to find the probability that he hits exactly 0, 1, 2, 3, 4, or 5 bull's eyes.

The probability that Pete hits exactly k bull's eyes in n throws is given by the binomial distribution:

P(k bull's eyes in n throws) = (n choose k) * p^k * (1-p)^(n-k)

where p is the probability of hitting a bull's eye on a single throw and n choose k is the binomial coefficient, which is equal to n!/(k!(n-k)!).

Substituting the given values, we get:

P(0 bull's eyes in 10 throws) = (10 choose 0) * (0.7)^0 * (0.3)^10 = 0.028 P(1 bull's eyes in 10 throws) = (10 choose 1) * (0.7)^1 * (0.3)^9 = 0.189 P(2 bull's eyes in 10 throws) = (10 choose 2) * (0.7)^2 * (0.3)^8 = 0.462 P(3 bull's eyes in 10 throws) = (10 choose 3) * (0.7)^3 * (0.3)^7 = 0.605 P(4 bull's eyes in 10 throws) = (10 choose 4) * (0.7)^4 * (0.3)^6 = 0.501 P(5 bull's eyes in 10 throws) = (10 choose 5) * (0.7)^5 * (0.3)^5 = 0.302

The probability that Pete hits five or fewer bull's eyes in his next ten shots is the sum of the probabilities of hitting exactly 0, 1, 2, 3, 4, or 5 bull's eyes:

P(hitting 5 or fewer bull's eyes in 10 shots) = 0.028 + 0.189 + 0.462 + 0.605 + 0.501 + 0.302 = 2.487

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Answer:

all of them are right except for A

Step-by-step explanation:

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

Answer:

Step-by-step explanation:

Answer:

=3

Step-by-step explanation:

given the general form ax2 +bx+c=0

there exist two solutions where: a=1,b=3andc=3

Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day

Answer:

x=0 y=-4

Step-by-step explanation:

QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }.

ANSWER :

B .

y =(1 — 6 ) ×

or.

C .

y = (2) ×

HOPE IT HELPS .

The area of the tile which is trapezoid is  70 cm².

A trapezoid is a four-sided geometric shape with one pair of parallel sides.

The two non-parallel sides are usually referred to as the "legs" and the other two sides are the "bases".

A trapezoid can be either isosceles or non-isosceles depending on the angles of the legs.

A trapezoid can also be equilateral if all four sides have equal lengths.

The formula for the area of a trapezoid is (base 1 + base 2) x height/2.

In this case, the base 1 is 3 cm and the base 2 is 6 cm and the height is 4 cm.

Plugging these values into the equation

we get (3 cm + 6 cm) x 4 cm/2 = 70 cm².

Therefore, the area of the tile shown is 70 cm².

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Answer: Part A: 31.25 miles. Part B: 62.5 miles.

Step-by-step explanation:

Part A: 50 / 1.6 = 31.25

Part B: 31.25 x 2 = 62.5

There are basically three to four rules for angles of a triangle.

sum of all interior angle of triangle is 180°.

.

Angle in triangle

Triangles are one of the most basic geometric shapes and have a variety of well-studied properties. Triangle: Largest interior angle and sides facing each other. The same rules apply for minimum angles and sides, medium angles and medium sides.

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Answer:

Yes

Step-by-step explanation:

In Isosceles triangle, any 2 angles must be equal.

The angle measurements are 68°, 68°, and 44°.

Here,

two angles are equal, (i.e) 68°.

Hence,

the given angles can form an isosceles triangle.

Answer:

It's isosceles since two angles are equal

Answer:

The area is 56.25 \(mm^{2}\)

Step-by-step explanation:

Hope this helps!! Please mark brainliest.

Answer:

1 ± i(1/2)√2

Step-by-step explanation:

Write this quadratic in standard form:  subtract 3 from both sides.  This results in 2x^2 - 4x - 3 = 0.  Let's apply the quadratic formula.  The coefficients of the x terms are 2, -4 and -3, so the discriminant is (-4)^2 - 4(2)(-3), or 16 - 24 = -8.

Following the format of the quadratic formula, we get

     -(-4) ±i2√8       4 ±i2√2        

x = ----------------- = --------------- =  1 ± i(1/2)√2

               4                    4

The missing lengths of each right triangle are, respectively:

Case 7: x = 5, y = 5√2 / 2
Case 8: x = 7, y = 7√2 / 2

In this problem we find two cases of right triangles whose internal angles are 45° - 45° - 90°, whose side relationships are listed below:

Now we proceed to determine the missing lengths:

Case 7:

Hypotenuse:

x = √2 × 5√2 / 2

x = 5

Leg:

y = 5√2 / 2

Case 8:

Hypotenuse:

x = √2 × 7√2 / 2

x = 7

Leg:

y = 7√2 / 2

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

2, 6, 10, 14, 18

An arithmetic sequence has a constant difference and is defined as

\(\:a_n=a_1+\left(n-1\right)d\)

compute the differences of all the adjacent terms

\(6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4\)

The difference between all the adjacent terms is the same.

Thus,

\(d=4\)

and

\(a_1=2\)

Therefore, the nth term is computed by:

\(a_n=4\left(n-1\right)+2\)

\(a_n=4n-2\)

Thus, position to term rule of 2, 6, 10, 14, 18  multiply by __4___ and subtract by __2__.

The values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.

To determine the values of the t statistic that are statistically significant at the α=0.005 level, we need to find the critical values of the t-distribution with 14 degrees of freedom (df = n - 1 = 15 - 1 = 14).

Using a t-table or a calculator, we can find that the critical values for a two-tailed test with α=0.005 are -2.977 and 2.977. This means that any t statistic less than -2.977 or greater than 2.977 would be considered statistically significant at the α=0.005 level.

In other words, if the calculated t statistic falls within the range of -2.977 to 2.977, we would fail to reject the null hypothesis (H0: μ=10) and conclude that there is not enough evidence to suggest that the population mean is different from 10. However, if the calculated t statistic falls outside of this range, we would reject the null hypothesis and conclude that there is evidence to suggest that the population mean is different from 10.

So, the values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.

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If they both were driving at 9 AM, Jean and Sally, based on their average driving speeds, would meet at 14:00 hours or 2:00 P.M.

The average speed is the quotient of the total distance traveled and the time interval.

As a scalar quantity, the average speed is represented by its magnitude.

From the distance, speed, and time formula, we can determine the time when Jeann and Sally will meet.

Time = Distance/Speed

Total distance covered = 445 miles

Jean's average driving speed = 43 mph

Sally's average driving speed = 46 mph

Combined average driving speed = 89 mph

Time used to cover the distance = 5 hours (445/89)

The time they started driving = 9 AM

Time they will meet = 2 PM (9 AM + 5 hours) or 14:00 hours

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To find the length of a line segment with endpoints Q(8, 2) and R(5, 7), we can use the distance formula. The measurement closest to the length of the line segment can be determined by calculating the distance between the two points using the formula and comparing the result to other given measurements.

The distance formula is used to find the length of a line segment between two points in a coordinate plane. The formula is given as:

d = √[(x2 - x1)² + (y2 - y1)²]

where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

In this case, the coordinates of the endpoints are Q(8, 2) and R(5, 7). We can substitute these values into the distance formula and calculate the distance between the points.

d = √[(5 - 8)² + (7 - 2)²]

  = √[(-3)² + 5²]

  = √[9 + 25]

  = √34

The length of the line segment QR is approximately √34 units. To determine which given measurement is closest to this length, you would compare the value of √34 to the other given measurements and select the one that is closest in value.

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Answer:

5(-2.1)-4(-8.9)= 25.1

Step-by-step explanation:

lol

Answer: 2

Step-by-step explanation:

1/4 ÷ 1/8 = 1/4 x 8 = 8/4 = 2

The exact values of cosθ, secθ, and cotθ are: cosθ = 4 / √65

secθ = √65 / 4 , cotθ = -4/7

To find the exact values of cosine (cosθ), secant (secθ), and cotangent (cotθ) of an angle θ, we need to determine the ratios of the sides of a right triangle formed in the coordinate plane.

Given that the point (4, -7) lies on the terminal side of θ, we can form a right triangle by drawing a line segment from the origin (0, 0) to the point (4, -7).

The hypotenuse of this triangle will be the distance between the origin and the point (4, -7), which can be calculated using the Pythagorean theorem.

The distance d is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Using the coordinates (x₁, y₁) = (0, 0) and (x₂, y₂) = (4, -7), we have:

d = √((4 - 0)² + (-7 - 0)²)

 = √(4² + (-7)²)

 = √(16 + 49)

 = √65

Now, let's find the values of the trigonometric functions:

1. cosine (cosθ):

cosθ = adjacent side / hypotenuse

      = x-coordinate of the point / distance

      = 4 / √65

2. secant (secθ):

secθ = 1 / cosθ

      = 1 / (4 / √65)

      = √65 / 4

3. cotangent (cotθ):

cotθ = adjacent side / opposite side

      = x-coordinate of the point / y-coordinate of the point

      = 4 / (-7)

      = -4/7

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Answer:

A horizontal line has a gradient = 0 and only has a y-intercept.

In the standard form this would mean that  

m =0,  and c =5  So, y  = 5

Step-by-step explanation:

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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Answer:   70

Step-by-step explanation:

   sumproduct(b1:b4,a1:a4)=(1)(9)+(2)(8)+(3)(7)+(4)(6)=9+16+21+24=70

   sumproduct(b1:b4,a1:a4)=70