How to solve? What are the rules in BODMAS

Answer:

degree 1

Step-by-step explanation:

The trapezoidal rule is exact when the second derivative is zero.  This occurs when the polynomial is degree one or less

Answer:

no

Step-by-step explanation:

Let's plug in -2 for x.

8 - 2 (-2) <12

8 + 4 < 12

12 < 12

Since this is a false statement, -2 is not a solution to the inequality.

Answer: No

Step-by-step explanation: To determine whether x = -2 is a solution to the inequality, substitute a -2 in for r.

So we have 8 - 2(-2) < 12.

Notice that I used parentheses.

This is a great habit to get into when

substituting numbers in for variables.

So we have 8 - (-4) which can be changed to 8 + (+4) or +12.

Since 12 is not less than 12, -2 is not a solution.

Answer:

-6

Step-by-step explanation:

f(x) = 2x + 8

Put x as -7.

f(-7) = 2(-7) + 8

Multiply first.

f(-7) = -14 + 8

Add.

f(-7) = -6

Answer:

28.6 × 100

⇒ 286/10 × 100

⇒ 286 × 10

⇒ 2860

Answer:

3/5

Step-by-step explanation:

(3/5) · (1/2) over (3/5) · (1/2) + (2/5) · (1/2)

= 3/5

Answer:

$3360

Step-by-step explanation:

First you have to do 20 times 2 to find out how many new seats there are.

Then you have to multiple that number by the cost to get the cost of all the new seats.

I hope this helped ;)

Answer:

118.3

Step-by-step explanation:

area = base * height / 2

The two sides forming a right angle can be used as base and height.

area = 13 m * 18.2 m / 2

area = 118.3 m^2

Answer:it is 118.2977011m^2 because the instruction says do not round

Step-by-step explanation:

Answer:

(i) [tex]80-x[/tex]

(ii) [tex]S(x) = 40 - 0.10x[/tex]

(iii) $36.5

Step-by-step explanation:

Given that:

1. Total Number of fruits = 80

2. Number of mangoes = x

3. Both mangoes and oranges are there in the basket.

Solution (i):

Only mangoes and oranges are there in the basket and the basket is full.

so, Number of mangoes + Number of oranges = Total number of fruits

x + Number of oranges = 80

Number of oranges = [tex]80 -x[/tex]

Solution (ii):

Given:

Cost of an orange = 50 cents = $0.50

Cost of a mango = 40 cents = $0.40

Cost for x mangoes = [tex]\$ 0.40x[/tex]

Cost for ([tex]80-x[/tex]) oranges = [tex]\$ 0.50 \times (80-x)[/tex]

[tex]\Rightarrow S(x) = 0.50 (80-x) + 0.40x\\\Rightarrow S(x) = 40 -0.50x + 0.40x\\\Rightarrow S(x) = 40 - 0.10x[/tex]

Solution (iii):

Put value of x = 35 in S(x)

[tex]S(35) = 40 - 0.10 (35)\\\Rightarrow S(35) = 40 - 0.35\\\Rightarrow S(35) =\$ 36.5[/tex]

Hence, answers are:

(i) [tex]80-x[/tex]

(ii) [tex]S(x) = 40 - 0.10x[/tex]

(iii) $36.5

Answer: A=12, B=2, C=11

Step-by-step explanation:

With the given problem, you would first expand the numerator.

[tex]\frac{x^1^5y^3z^1^2}{x^3yz}[/tex]. Then you can simply from there. You can subtract the exponents. [tex]x^1^2y^2x^1^1[/tex]

Answer:

[tex] \hat p =\frac{14}{250}= 0.056[/tex]

And for this case that represent the 5.6% of the homeless persons who are veterans

Step-by-step explanation:

We know that in a survey of 250 homeless persons 14 were veterans. We can find the estimated proportion of homeless persons who are veterans with the following formula:

[tex] \hat p =\frac{X}{n}[/tex]

The last one is an unbiased estimator of the true population proportion p

And replacing the info given we got:

[tex] \hat p =\frac{14}{250}= 0.056[/tex]

And for this case that represent the 5.6% of the homeless persons who are veterans

Answer:

Charlie spent 5$ per sandwich

Step-by-step explanation:

He ordered 6 sandwiches

6x5 =30

He spent 2$ on kids meal

30+2 = 32$

Hope this helped, if you want please mark branliest it would be appreciated

Answer:

5

Step-by-step explanation:

remove the kids meal first

32-2=30

now, divided 30 dollars by the 6 sandwiches

30÷6 = 5

each sandwhich is 6 dollars

Answer:

The student got 16 problem correct

Step-by-step explanation:

Take the number of problems and multiply by the percent correct

20 * 80%

20 *.80

16

The student got 16 problem correct

Answer: The student got 16 problem correct.

Step-by-step explanation: To solve this problem, you first want to take the number of problems that are on the math test and multiply that by the percent the student got correct.

So we have 20 × 80%

Now write 80% as a decimal to get .80.

So we have 20 × .80 which is equal to 16.

So the student got 16 problems correct

and 4 problems incorrect on their test.

Answer:

This, polynomial has order 7.

Step-by-step explanation:

Given the polynomial

P(x) = 3 – 2x2 + 5x5 – 7x7

[tex]P(x) = 3 - 2x^2+ 5x^5 - 7x^7[/tex]

Order for any polynomial is highest exponential value for variables . The exponent for polynomial is also called as degree.

Hence in terms of degree, the term in polynomial which has  the highest degree . That degree is the order of the polynomial.

For example ,

in [tex]x^5 + x^8 + x^9[/tex]

here we see that variable x has highest power of 9. Thus, order of the given equation is 9.

Similarly for the polynomial given we see that

in the polynomial [tex]P(x) = 3 - 2x^2+ 5x^5 - 7x^7[/tex]

x has three power 2, 5 and 7 .

As 7 is the highest power of P(x) = 3 - 2x^2+ 5x^5 - 7x^7

This, polynomial has order 7.

Answer:

A. p(x) = 19x - 15

Step-by-step explanation:

→Set it up, like so:

[tex](25x)-(6x+15)[/tex]

[tex]25x - 6x-15[/tex]

→Add like terms (25x and -6x):

[tex]19x - 15[/tex]

Answer:

d) 3 feet by 4 feet

Step-by-step explanation:

Volume of the prism = 48 feet³

Height if the prism = 4 feet

To determine the possible values of the length and width of the prism let's divide the volume by the height.

So 48/4 = 12

So we'll be looking for a product of two numbers to give us 12

And it's between 12 and 1, 4 and 3 , and 6 and 2.

We have only 4 and 3 in the option.

Answer:

Esther made the right option which gives her maximum value at the end of 3 years than Vida and Clair.

Step-by-step explanation:

The life is all about making the right choices. Esther has made a decision to collect GH¢1000 now. To calculate future value of Esther choice at the end of 3 year we will use formula below,

FV = PV [tex](1 + r)^{t}[/tex]

discount factor at year 3 t 10% is 0.751

FV = 1000 (0.751) / (1.1)3

FV = GH¢2487.

Vidha choose to collect GH¢3000 at end of 3 year, the present value of GH¢3000 at 10% discount rate will be;

PV = FV [tex](1 + r)^{-t}[/tex]

PV = 3000 (0.751)

PV = GH¢2253.

Clair is indifferent from the choices given but this is also not a smart choice.

Esther has made the right choice among the three women and she gets maximum value of GH¢2487.

Answer:  c) 3 x 5

Step-by-step explanation:

When multiplying matrices of dimension m x n, the "inside" values MUST be the same. The dimension of their product is the "outside" values.

P = 3 x 4

Q =      4 x 5

The "inside" values are both 4 so the product can be found.

The "outside" values are 3 & 5 so the dimension of the product is 3 x 5.

If the problem was flipped to: find QP, we would get the following:

Q = 4 x 5

P =        3 x 4

the "inside" values of 3 & 5 are not the same so the product does not exist.

Answer:

380

Step-by-step explanation:

Order of operations!

(458+56)-134

(514)-134

514-134

380

done!

Answer:

3.8%

Step-by-step explanation:

After evaluating the expression you get 380. You take 380, and turn it into a percentage, move the decimal to the left twice. Giving you 3.8%

Answer:

a) 99.95 grams are remaining after 4 years.

b) The percent of carbon-14 remaining is about 99.95%

Step-by-step explanation:

The amount of carbon 14 remaining after t years is given by the following equation:

[tex]C(t) = 100(0.99988)^{t}[/tex]

a) Amount remaining after 4 years.

[tex]C(t) = 100(0.99988)^{4} = 99.95[/tex]

99.95 grams are remaining after 4 years.

b) Percentage remaining after 4 years:

[tex]p = \frac{100*C(4)}{C(0)} = \frc{100*99.95}{100} = 99.95[/tex]

The percent of carbon-14 remaining is about 99.95%

a) 99.95 grams are remaining after 4 years.

b) The percent of carbon-14 remaining is about 99.95%

a.

The amount of carbon should be

[tex]C=100(0.99988)^4[/tex]

= 99.95 grams

b. The percent is

[tex]= 100 \times 99.95100[/tex]

= 99.95%

Learn more: https://brainly.com/question/6269728?referrer=searchResults

Answer:

Take an example in a triangle:

The orthocenter is the intersection point of 3 altitudes.

The centroid is the intersection point of 3 medians.

The circumcenter is the intersection point of 3 bisectors.

Centroid, orthocenter, and circumcenter are collinear.

Hope this helps!

:)

Answer:

1) (x+4)2 =49

Step-by-step explanation:

x^2+8x-33 = 0   Factor this equation

(x + 11)(x - 3) = 0     Set each equation equal to 0

x = -11 and 3

Test the first equation to see if it has the same solution

(x+4)2 = 49      Simplify the parentheses

(x+4)(x+4) = 49     FOIL the equation

x^2 + 8x + 16 = 49     Subtract 49 from both sides

x^2 + 8x - 33 = 0       This is the correct solution.

Answer: correct answer is A

Step-by-step explanation:

Answer:

domain is [-6,6] or -6 ≤ x ≤6

Step-by-step explanation:

domain is x value of given function

dark circle means that that number is included in domain

Answer:

x = 98

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

x + 24 = 122

Subtract 24 form each side

x+24-24 =122-24

x =98

Answer:

[tex] x = 98 \: \: degrees \\ [/tex]

Step-by-step explanation:

The exterior angle is equal to sum of opposite interior angles in a triangle.

[tex]24 + x = 122 \\ x = 122 - 24 \\ x = 98 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-7. negative

Step-by-step explanation:

49 + -56

49 - 56

-7

Answer:

20

Step-by-step explanation:

The rectangle is 2 x 8.

2 + 2 + 8 + 8

Answer: 10 questions.

Step-by-step explanation:

The optimal aproach would be divide the total range in half, for example, she can ask:

Is the number equal or greater than 500?

if he answers no, now she knows that the numer is in the range 1 to 499

if he says yes, she can know that the number is in the range 500 to 1000.

Now, suppose that the answer is yes.

Now she can ask if the number is equal or greater than 750.

Now we have two possible sets. (500, 749) and (750 , 1000).

Now we can divide those sets again, depending on the answer.

suppose we got the set of (750, 1000)

we can divide it into two sets and so on.

So, we have 999 options and we want to divide it by 2 until we reach to 1., the number of divisions by 2 is the number of times that she asked a question.

999/2^n ≤ 1.

we must find the smaller n that keeps the above inequality true.

999 ≤ 2^n

knowing that 2^10 = 1024.

999/1024 = 1024

So in the worst case, she should ask 10 questions.

Answer:

Yes, the new equipment appear to be effective in reducing the variation of​ weights.

Step-by-step explanation:

We are given that Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065.

A simple random sample of 25 quarters is obtained from those manufactured with the new​ equipment, and this sample has a standard deviation of 0.047.

Let [tex]\sigma[/tex] = standard deviation of weights of new equipment.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\sigma \geq[/tex] 0.065      {means that the new equipment have weights with a standard deviation more than or equal to 0.065}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\sigma[/tex] < 0.065      {means that the new equipment have weights with a standard deviation less than 0.065}

The test statistics that would be used here One-sample chi-square test statistics;

                           T.S. =  [tex]\frac{(n-1)s^{2} }{\sigma^{2} }[/tex]  ~ [tex]\chi^{2}__n_-_1[/tex]

where, s = sample standard deviation = 0.047

           n = sample of quarters = 25

So, the test statistics  =  [tex]\frac{(25-1)\times 0.047^{2} }{0.065^{2} }[/tex]  ~  [tex]\chi^{2}__2_4[/tex]   

                                     =  12.55

The value of chi-square test statistics is 12.55.

Now, at 0.05 significance level the chi-square table gives critical value of 13.85 at 24 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of chi-square as 12.55 < 13.85, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the new equipment have weights with a standard deviation less than 0.065.

Answer:

19.7 or 20 rounded

Step-by-step explanation:

A = $ 1,861.65

A = P + I where

P (principal) = $ 630.00

I (interest) = $ 1,231.65

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / e^rt

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

Answer:

13 cm

Step-by-step explanation:

To find the answer, you can use the formula to calculate the volume of a cone and isolate the height:

V= πr^2[tex]\frac{h}{3}[/tex]

V= volume= 218 cubic centimeters

π= 3.14

r= radius= 4 cm

h=height

218= 3.14*4^2*[tex]\frac{h}{3}[/tex]

218*3=3.14*16*h

654=50.24*h

h=654/50.24

h=13

According to this, the height of the container is 13 cm.

Answer:

$405.60

Step-by-step explanation:

If Isaac works for 40 hours will earn $8.45×40=$388. Since he worked 4 extra hours, he will earn $8.45×2×4 since he worked 4 extra hours. $8.45×2=$16.90, which is the amount he earns for every extra hour he works. $16.90×4=$67.60. Now if we add $67.60+$388=$405.60.

Hope this helps!