Find nd the 10th term of the series attached.​

There are 15 two-point questions and 5 four-point questions.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Let x be two-point questions and y be four-point questions. We know that there are 20 questions so the number of two-point questions plus the number of four-point questions equals 20. So x + y = 20. We also know that the total number of points is 50, so 2x + 4y = 50.

Solving the system:

1) x + y = 20

2) 2x + 4y = 50

Isolate x in 1) to get x = 20-y, then plug into 2)

2(20-y) + 4y = 50

2y=10  

y = 5,

It means that there are 5 four-point questions. Plug y = 5 into either equation to get x = 15 so there are 15 two-point questions.

x + y = 20

x + 5 = 20

x = 15

Hence, there are 15 two-point questions and 5 four-point questions.

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Answer:

Step-by-step explanation:

the test ha 65 questions worth points and 5 questions worth 4 points

Answer:

[tex]\begin{gathered} \sf - 21 \div (2 - 5) + ( - 14) + 6 \times (8 - 4 \times 3) = \\\sf- 21 \div (2 - 5) + ( - 14) + 6 \times (8 - 12) = \\ \sf- 21 \div( - 3) + ( - 14) + 6 \times ( - 4) = \\ 7 + ( - 14) +( - 24) = \\ \sf 7 - 14 - 24 = \\ \sf - 7 - 24 = \\ \sf \green{ - 31}\end{gathered}[/tex]

When we solve combined calculations, we must first separate into terms when there is an addition or a subtraction.

Then, we solve the operations respecting the hierarchical order of the operations:

If the calculation has grouping signs, they must be solved in the following order:

Merry Christmas and Happy New Year

Answer:

negative 36

Step-by-step explanation:

You will useva method known as BODMAS its a principle of combined operations like the one above in mathematics.

B-brackets

O-Of (multipliction) ;commonly used when fractions are involved

D- division

M- multiplication

A- addition

S- subtraction

Working out:

first we will solve the brackets then rewrite the question with the answer obtained

-2-5=-7

8-4×3= minus 4

new question :

-21÷-7+-14+6×minus 4

Next is division since there is no of

-21÷-7=3

Negative divided by negative equals positive

3+minus 14 +6×minus 4

Now do multiplication 6×minus 4= minus24

3+ minus 14+minus 24=minus 36

1/34 is the probability of cards are not returned to the deck.

What does the math term "probability" mean?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                                   Statistics is the study of events subject to probability.

A = the first card of ace.

B = Drawing two ace from a standard deck

P(AB) = ²C₄ / ²C₃₂

P(A) = ¹C₄ ¹C₅₁ / ²C₃₂

P(B/A) =P(AB)/P(A)

           = ²C₄ /  ²C₃₂ *  ²C₃₂ /  ¹C₄ ¹C₅₁

            = ²C₄ /¹C₄ ¹C₅₁

             = 1/2 * 17

             = 1/34

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By using exponent, it can be calculated that

[tex](-2ab)^3 (-a^2b)[/tex] = [tex]8a^5b^4[/tex]

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a \times a \times a .... \times a[/tex] (m times), a is the base and m is the index.

The laws of indices are

[tex]a^m \times a^n = a^{m + n}\\\\a^m\div a^n = a^{m - n}\\\\(ab)^m = a^mb^m\\\\(\frac{a}{b})^m = \frac{a^m}{b^m}\\\\a^0 = 1\\\\(a^m)^n = a^{mn}[/tex]

Now,

The given expression is

[tex](-2ab)^3 (-a^2b)[/tex] =

[tex](-8a^3b^3)(-a^2b)\\[/tex]

[tex]8a^{3+2}b^{3+1}[/tex]

[tex]8a^5b^4[/tex]

So, the expression [tex](-2ab)^3 (-a^2b)[/tex] is simplified [tex]8a^5b^4[/tex]

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Answer: 40%

Step-by-step explanation:

Ummi's quotients in this situation represent the unit rates of the advertisement

You will not be able to draw a straight line through the points

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

2.90/10 = 0.29/1 3.48/12 = 0.29.1 4.48/16 = 0.28.1

These can be rewritten as

2.90/10 = 0.29/1

3.48/12 = 0.29/1

4.48/16 = 0.28/1

The quotients mean that

Unit rate = Total amount spent/Number of adverts

So, the quotient expressions represent the unit rate

Recall that

2.90/10 = 0.29/1

3.48/12 = 0.29/1

4.48/16 = 0.28/1

The values of the quotients are not equal

This means that it is not possible to draw a straight line through the points

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Answer: X = 5

Step-by-step explanation:

4x - 2 = 18

    +2    +2

4x = 20

/4     /4

x = 5

4(5) -2 =18

20 - 2 =18

18=18

-17 can be expressed as the sum of its integer and decimal parts.

-6.75+(-10.25)

Remove parentheses: (-a)=-a

=-6.75-10.25

Subtract the numbers: -6.75-10.25=-17

=-17

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

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The local maxima is(1,0) , local minima is indefinite and the saddle point is (1,0).

As per given in the question ,

f(x,y)=[x2+1 ]

          [-2y   ]

The critical points are therefore (1,0) and (1,0).

The Hessian is currently

∇²f(x,y)=[−2x     0

               0     −2]

2 and 2 are the eigenvalues of the function 2f(1,0).

As a result, (1,0) is a saddle point and 2f(1,0) is indefinite.

Two and two are the eigenvalues of 2f(1,0).

As a result, (1,0) is a maximum and 2f(1,0) is negative definite.

Critical point: If f (p) = 0, then a point p U is f's critical point.

In light of this, the tangent plane to z = f when f is differentiable (x) at (p, f (p)) is horizontal.

Theorem: Assume that f exists and possesses a local extremum at position p. Then, p is a f critical point, with the result that f (p) = 0.

Example: Take into account f (x, y) = x 2 y 2. Once again demonstrating that (0, 0) is the only crucial point of f, fx = 2x = 0 and fy = 2y = 0

However, (0, 0) is not a f local maxima.

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Answer:

  19 units

Step-by-step explanation:

You have midline LM marked as 6x+1 and parallel baseline IJ marked as -6x+56 in triangle IJK. You want to know the length of LM.

The midline of a triangle is half the length of the parallel base:

  LM = 1/2(IJ)

  6x +1 = 1/2(-6x +56) . . . . . substitute expressions

  6x +1 = -3x +28 . . . . . . . simplify

  9x = 27 . . . . . . . . . . . . sdd 3x-1

  x = 3

Now, we can find LM:

  6x +1 = 6(3) +1 = 19

The measure of LM is 19 units.

Answer: The new price for a hot pretzel is 1.50

Step-by-step explanation: 200*75/100=150

Answer:

Step-by-step explanation:

The slope of a line is defined as the change in y-coordinate divided by the change in x-coordinate between two points on the line. In this case, the change in y-coordinate between the two points is -11 - (-1) = -10, and the change in x-coordinate is 0 since both points have the same x-coordinate. Therefore, the slope of the line that passes through the points (-8, -1) and (-8, -11) is -10/0, which is undefined.

Answer:24.90

Step-by-step explanation: My brain

The solution to the given inequality 2(2.1z + 4.5) < 21.6 to solve for the unknown value of z is z < 3

Inequality refers to a statement that is of two quantities in which one is specifically less than (or greater than) another.

The symbols of inequality includes;

2(2.1z + 4.5) < 21.6

open parenthesis

4.2z + 9 < 21.6

substract 9 from both sides

4.2z < 21.6 - 9

4.2z < 12.6

divide both sides by 4.2

z < 12.6 / 4.2

z < 3

Hence, z < 3 satisfies the value of z in the inequality 2(2.1z + 4.5) < 21.6

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Answer:

4(10+x)

Step-by-step explanation:

find the gcf: 4

divide everything by the gcf: 4(10+x)

Answer:There are 3 answers 4(10+x), 4(10)+4(x), 40+4x

Answer: (0,2)

Step-by-step explanation:

to find the y intercept, solve for f(x) when x = 0

f(0) = 2(3)^0 = 2(1) = 2

therefore the coordinates of the y intercept are (0,2)

Answer: [tex]\{4, 5, 6\}[/tex]

Step-by-step explanation:

The range of a function is the set of outputs (which is the set of [tex]y[/tex]-coordinates).

3360, 8 digit codes could she make using the digits in her birthday.

What is the 4 digit code?

A quick, thorough, and evidence-based method for diagnosing the full range of outcomes seen in people who have had prenatal alcohol exposure is the 4-Digit Code.

Given the date:

Birth date = 12/24/2002       06/10/1961

Number of digits = 8 = 8! = (8*7*6*5*4*3*2*1) = 40320

Repeated digits :

digit 6 = 2 times = 2! = 2*1 = 2

digit 1 = 3 times = 3! = 3*2*1 = 6

Therefore the number of 8 digit codes that can be formed is :

8! / (2! * 3!)

40320 / (2 * 6)

40320 / 12

= 3360

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Using the table we find the constant of proportionality  is 15/8

The ratio that establishes a proportionate link between any two given values is referred to as the constant of proportionality. There are also other names for the constant of proportionality, such as constant ratio, constant rate, unit rate, constant of variation, and even rate of change.

Here,

Since from the table we have to find the constant of proportionality

So, the values of ounces of milk(x) are

30,45

and the values of amount of truffle(y) are

16,24

So for finding the constant of proportionality We take 2 cases,

a)Taking first values of x & y

x/y=30/16

x/y=15/8

b)Taking secondary values of x & y

x/y=45/24

x/y=15/8

Therefore the constant of proportionality  is 15/8

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The answer for all 3 of the boxes is 3. The number of observations for each class interval of a variable is shown in group frequency distributions.

DISTRIBUTION OF GROUPED FREQUENCIES

The greatest score is H, while the lowest is L.

By dividing the range by a number of groupings or classes, you can estimate the class width w.

Establish the class intervals.

Add up the scores for each period in the appropriate number.

The shopping time (in minutes) of the nine shoppers are:

15, 16, 18, 20, 22, 25, 27, 28, 29 (just to make it easier to read, I rearranged  everything from least to greatest.)

We can see, that 3 shoppers shopped for 15-20 minutes.

And, 3 shoppers shopped for 21-26 minutes.

And finally, 3 shoppers shopped for 27-32 minutes.

So the answer for all 3 of the boxes is 3.

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Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the formulas 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" between them.

Here,

If two lines have the same slope, they are considered to be parallel.

This will allow us to determine the equation for the line that is perpendicular to the graphed line and goes through the points (4, 1): y = -2*x + 9.

Let's try to locate the line as follows:

Finding the graphed line's slope is the first step towards locating the line.

Keep in mind that a generic statement is anything like:

y = a*x + b

where a represents the slope and b the y-intercept

If the line does indeed travel through the points (x1, y1) and (x2, y2), then the slope of that line can be expressed as follows:

[tex]m=\frac{y_{2}- y_{1}}{x_{2} -x_{1} }[/tex]

As seen below, the graphed line crosses (-3, 3) and (-2, 1). The slope will therefore be:

[tex]m=\frac{1- 3}{2 -(-3) }[/tex]

Since the parallel line's slope is likewise 2, it will look somewhat like this:

y = -2*x + c

Using the knowledge that this line passes through, we may determine the value of c. (4, 1).

Thus, y = 1 must exist when x = 4.

When we swap these out in the line equation, we get:

-2*4 + c = 1

-8 + c = 1

1 + 8 = c = 9

Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9

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The approximate percentage of women with platelet count between 3 and 4.1 is 350

We should know that platelet deals the cells that are found in our body which assemble together when they discover bad blood in the cells.

The range of women is given as 3-4.1

The average of the women is [tex]\frac{3+4.1}{2}=\frac{7.1}{2}[/tex]

Simplifying the expression we have

= 3.5

The appromimate percentage is 3.1*100=350 women

In conclusion the approximate percentage of women with blood platelet is 350 women

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Hugo needs 15 weeks to pay back his brother completely if he pays $2 a week.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division.

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

According to the given question:

Hugo decided to pay $2 a week to his brother to buy a bicycle.

The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.

To pay back to the brother he must owe no money which is y = 0.

∴ The weeks needed is,

0 - 10 = -2(x - 10).

- 10 = -2x + 20.

2x = 30.

x = 15.

He needs 15 weeks to pay back completely.

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Answer:

Step-by-step explanation:

If x equals -2 then you multiply 3 times -2 which equals -6 then add 1. Your total then is -5. Y equals -5

Answer: To find the value of f(5), we need to substitute 5 for x in the expression f(x) = 8x+5. This gives us:

f(5) = 8*5+5 = 45

So, the value of f(5) is 45.

Answer:

a. 240pieces

b. 4800+ 10x

Step-by-step explanation:

a. 40÷4=10, 120÷5=24, 10×24=240

b. (240×20)+ (x×10)= 4800+ 10x ===> x is the number of cars

Step-by-step explanation:

2 1/4 = 9/4

9/4 ÷ 4

9/4 x 1/4

9/16

so neither of these answers?

Answer:

2

Step-by-step explanation:

we replace x with -3

f(-3)=2(-3)+8

f(-3)=-6+8

f(-3)=2

hopes this helps please mark brainliest

Answer:

2 per day

Step-by-step explanation: