0.789x10^5

is this correct scientific notation

Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.

movies 1.75 each

games 5.75 each

The product that is represented with the algebra tiles is (2x + 2)(2x + 3)

From the question, we have the following parameters that can be used in our computation:

The algebra tiles

Representing the red tile with digit 1

So, we have

Vertical = 2x + 1 + 1 = 2x + 2

Horizontal = 2x + 1 + 1 + 1 = 2x + 3

The product that is represented with the algebra tiles is then calculated as

Product = Vertical * Horizontal

So, we have

Product = (2x + 2)(2x + 3)

Hence, the product is (2x + 2)(2x + 3)

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Answer:

JK and LH

Step-by-step explanation:

if u look at it, they are the smaller arcs produced compared to HJ and KL which are much bigger

For the scatter plot of the two variables provided the question which indicated a strong, positive linear association between the variables, the statement which is a correct interpretation of the word ""strong"" in the description of the association is that the actual time required to deliver all the items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least-squares model. (Option B)

Least-squares model refers to a statistical procedure used to determine the best fit for a date set by minimizing the sum of the offsets or residuals of points from the plotted curve. The behavior of dependent variables is predicted using least squares regression. The slope of a line illustrates the linear relationship between two variables. If the slope is positive, the relationship is considered as a positive linear association, i.e., as increases in one variable leads to increases in the other. A strong positive linear relationship means that the actual relationship is close the predicted relationship.

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Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

\(p = \frac{31}{365} = 0.0849\)

Group of 20 friends:

This means that \(n = 20\)

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773\)

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

we need to remember 2 things for right-angled triangles (which we need to use to find the sides of the rectangle, so that we then can calculate the area) :

1. Pythagoras

a² + b² = c²

with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs.

2. geometric mean theorem

height = sqrt(p×q)

with p and q being the segments of the baseline the height is splitting it into. in our case MA and AL.

so, to get the length of the rectangle (PL) we use Pythagoras :

PL² = 6² + 8² = 36 + 64 = 100

PL = 10 units

to get PM we first need to get ML. and for that we need to get MA.

6 = sqrt(MA × 8)

36 = MA × 8

MA = 36/8 = 4.5 units

that means ML = 8 + 4.5 = 12.5 units

and again Pythagoras

ML² = PL² + PM²

12.5² = 10² + PM²

156.25 = 100 + PM²

56.25 = PM²

PM = 7.5 = 7.5 units

so, the area of the rectangle is

10 × 7.5 = 75 = 75.00 units²

to "round" to the nearest hundredth.

Answer:

drag the protactor so that the the bottom, middle line is centered in point B, and the bottom edge is flat against line BC

the angle will be whatever number AB lines up with on the outer ring (the big numbers)

Step-by-step explanation:

Answer: The answer would be 133.97 cubic units

Step-by-step explanation:

\(V=\pi r^2*h/3\\V = 3.14 *4^2* 8/3\\V= 133.97\)(rounded to the nearest hundredths place)

\({\huge{\bold{\red{\tt{～Explanation}}}}}\)

The first subset contains 1 number, the second subset contains 2 numbers, the third subset contains 3 numbers, and so on. So the nth subset contains n numbers.

To find the first number in the nth subset, we need to find the sum of the first n-1 numbers. The sum of the first n-1 numbers is given by the formula:

1 + 2 + 3 + ... + (n-1) = (n-1)(n-2)/2

Therefore, the first number in the nth subset is:

(n-1)(n-2)/2+1

Simplifying this expression gives:

(n^2 - 3n + 2)/2

So the formula for the first member of the nth subset is (n^2 - 3n + 2)/2.

\(~~~~~(6x+4) +44 = 90\\\\\implies 6 x+ 48=90\\\\\implies 6x = 90-48\\\\\implies 6x = 42\\\\\implies x= \dfrac{42}6\\\\\implies x = 7\)

Given parameters:

Weight of Tan  = 146pounds

Unknown:

Weight of Minh = ?

Following this problem step wisely, we can derive a solvable algebraic equation;

  Let the weight of Minh  = M

In the second sentence, we see that Minh weighs 15pounds more than Tan;

    So;

              M  = 15 + Weight of Tan

Since we already know the weight of Tan,

  Weight of Minh  = 15 + 146  = 161pounds

We clearly see that Minh's weight will be 161 pounds.

Answer:

GMM,pooled OLC,even cross country OLC are most variables not difficult panel data analysis

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:

18

Step-by-step explanation:

Because 5/8×18 is 11 1/4

Answer:

what he said

Step-by-step explanation:

Answer:

Step-by-step explanation:

13 = 2*6 + 1         (m = 6)

27 = 2(13) + 1

121 = 2(60) + 1

Answer:

pppppppppppppppppppppppppppppppppppppppppp

Answer:Smith left 54 in the garden

Step-by-step explanation: 10% of 60 is 6

90% of 60 is 54

Hope this helps

Answer:

???

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

if you subtract 12 - 4 you get 8 and 4/8 = 1/4

Answer:

The quen is as following:

ABC is a right triangle at C,

Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.

The solution is:  m∠HCL = 30°

Step-by-step explanation:

See the attached figure.

∵The triangle is right at C   ∴∠C = 90°

∴∠A + ∠B = 90° ⇒(1)

∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

∴∠A = 5 times ∠B

Substitute at (1)

∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15°  and ∠A = 75°

∵CL is an angle bisector of ∠ACB

∴ ∠ACL = 90°/2 = 45°

∵ CH is an altitude to AB ⇒ ∠CHA = 90°

At the triangle AHC:

∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°

∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°

The inequality is graphed and attached

There are some points that help in interpreting inequality graphs.

the x values are also called the domain lets assume -4 0 4. this is substituted into the equation 3x - 2y > 2 to get the values in the y direction.

3x - 2 > y

y < 3x - 2

for x = -4

y < 3 * -4 - 2 = -14

for x = 0

y < 3 * 0 - 2 = -2

for x = 4

y < 3 * 4 - 2 = 10

table of values

x      y

-4   -14

0     -2

4     10

y < 3x - 2 is the equation

Then use of dashed lines of dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR < hence used for the problem

solid line means there is equality in the inequality  ≤ OR ≥

Another part is the shaded portion

shading above the line defines greater than shading below the line defines less than. The equation has less than and the shading is below the line

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The length of one side of the garage originally is 18.17 feet.

The length of one side of the garage now is 22.25 feet.

The percent increase is 22.4%.

A square is a quadrilateral with four sides of equal length. A square has two diagonals of equal length that intersect at right angles.

Given the area of a square, the length of one side can be determined by calculating the square root of the area.

Area of the square = length²

Length of one side of the square = √area

√330 = 18.17 ft

Area of the garage after it was increased : (1 + percentage increase) x initial area

(1 + 0.5) x 330

1.5 x 330 = 495 feet²

Length of the side of the garage after it is increased = √495 = 22.25 feet

The percentage increase = (22.25 / 18.17) - 1 = 0.224 = 22.4%

Here is the complete question:

Yossi used to have a square garage with 330ft of floor space. recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

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Answer:

10/18

Step-by-step explanation:

Multiply both the numerator and denominator by 2

Answer:

y = 4/3x + 4

Step-by-step explanation:

The y intercept is 4. So if we look the 2 points are (-3,0) and (0,4)

So the run is 3 and rise 4

so 4/3 is the slope

Answer:

5

Step-by-step explanation:

a+b=30

a=30-b------1

&a-b=20

a=20+b-----2

From eqn 1 and 2, we get

30-b=20+b

or, 10=2b

b=5

Now, a=20+5

a=25

Therefore, a/b=25/5

=5

Using a system of equation, the value of a/b obtained from the values of a and b calculated is 5

The system of equations:

From (1) :

a = 30 - b - - - (3)

Substituting a = 30 - b into (2)

30 - b - b = 20

30 - 2b = 20

30 - 20 = 2b

10 = 2b

b = 5

From (3) :

a = 30 - 5

a = 25

Hence,

a/b = 25 / 5 = 5

Hence, the value of a/b is 5

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