If

m ≤ f(x) ≤ M

for

a ≤ x ≤ b,

where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then

m(b − a) ≤

b


If

m ≤ f(x) ≤ M

for

a ≤ x ≤ b,

where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ f(x) dx ≤ M(b − a).

f(x) dx ≤ M(b − a).

Use this property to estimate the value of the integral.

8

(10x − 20 sin(x)) dx

7

Answer:

35.09 pounds

Step-by-step explanation:

280.72/8 = 35.09

Answer:

The base is 24 cm

Step-by-step explanation:

There are three ways to look at this problem:

12 + 12 + 24 + 24 = 72

or

2(12+b) = 72

b = 24

or

24 · 12 = 72

I hope this helps!

Answer:

y = -x + 14

Step-by-step explanation:

(6, 8) to (-2, 16)

Left 8, up 8

slope = -1

y-int = 14

Answer:

-800

Step-by-step explanation:

-1200+400=-800

Answer:

The answer is 38 euros.

Step-by-step explanation:

Answer:

insurance payments every month

Answer:

The answer is D: Insurance

Step-by-step explanation:

Answer:

Domain: {-2,6,18}

Range: {-1,2,3}

This relation is not a function.

Step-by-step explanation:

The domain is all of the x values given listed in order from least to greatest and not repeating any numbers. The range is the same thing, but with the y values given. This is not a function because multiple ordered pairs have more than one output for the input. Let's take -2 in these ordered pairs. It has two different outputs, 3 and 2. Because of this, it is not a function.

Hope this helps!!

Answer:

18/10 or 1 4/5

Step-by-step explanation:

32/10 - 7/5

Remember that in order to subtract fractions, you always need to have the same denominator.

The denominator of 32/10 is 10.

The denominator of 7/5 is 5.

Are the denominator the same? In other words, are 10 and 5 equal? No, so now we need to make the denominator the same so that they are equal. To do that, find the LCM of 10 and 5.

List the LCM:

10: 10, 20, 30

5: 5, 10, 15, 20

Do you see any numbers in the list of the two numbers that are the same? Yes, 10 and 20. But since we are finding the LCM (Least common multiple), we need to use the smallest common multiple, which is 10.

Now that we found the LCM, make the denominator of 7/5 the same as 32/10.

To do that, just multiply the numerator and the denominator of 7/5 by 2; 7 times 2 is 14, 5 times 2 is 10. The final fraction should be 14/10.

Do 14/10 and 32/10 have the same denominator now? Yes, right?

Now, it’s the simple part. We now have the expression, 32/10 - 14/10.

Just subtract across, but keep the 10 as the denominato. 32 - 14 is 18. Keep the denominator 10, and you get 18/10 as your answer.

Therefore, 18/10 or 1 4/5 (if turned into a mixed fraction and simplified) is the answer. Hope this helps!

Answer:

She pays $31.50

7.25 x p    OR (7.25 x p) - 4.75 if coupon included

Step-by-step explanation:

7.25 x 5 = 36.25

36.25 - 4.75 = 31.50

Answer:

$30

Step-by-step explanation:

Answer:

610 virus cells

Step-by-step explanation:

let 10,000,000 be y And 12hrs be z and the cells left at the end of the week be x

I.e

[tex]x = y { \binom {1} {2}} ^{ \binom{t}{tx} } [/tex]

where tx is how long it takes for 1/2 of it to decay and t is the number of hours it's supposed to decay

So

[tex]x \: = \: 10000000 \: \times {{\frac{1}{2}}} ^{ \frac{24 \times 7}{12} } [/tex]

t is 7 weeks × 24 to convert to hours

so, therefore, 24 × 7 ÷ 12 is 14 [tex]x = 10000000 \times \frac{1}{ {2}^{14} } [/tex]

so 10,000,000 ÷ 2^14

10,000,000 ÷ 16,348 = 610.4

therefore there are approximately 610 viruses left after one week

Answer:

reflection

Step-by-step explanation:

The transformation rule is (x, y) → (x-1, y) and the square A is translated as 1 unit left.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

A square A shown in the picture is translated to square A'

As we can see in the picture.

The square A is translated as 1 unit left.

The transformation rule:

(x, y) → (x-1, y)

Thus, the transformation rule is (x, y) → (x-1, y) and the square A is translated as 1 unit left.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

Two quadrilaterals are congruent when their corresponding sides and angles are equal.

The corresponding sides and angles are;

39. ∠A corresponds to ∠E

40. [tex]\overline{EF}[/tex] corresponds to [tex]\overline{AB}[/tex]

41. [tex]\overline{BC}[/tex] corresponds to [tex]\overline{FG}[/tex]

Reasons:

The known relationship between the quadrilaterals are;

ABCD = EFGH

Therefore, we have that the corresponding sides are;

[tex]\mathbf{\overline{AB}}[/tex] corresponds to [tex]\mathbf{\overline{EF}}[/tex]

[tex]\mathbf{\overline{BC}}[/tex] corresponds to [tex]\mathbf{\overline{FG}}[/tex]

[tex]\mathbf{\overline{CD}}[/tex] corresponds to [tex]\mathbf{\overline{GH}}[/tex]

[tex]\mathbf{\overline{DA}}[/tex] corresponds to [tex]\mathbf{\overline{HE}}[/tex]

The corresponding angles are;

∠A corresponds to ∠E

∠B corresponds to ∠F

∠C corresponds to ∠G

∠D corresponds to ∠H

The sides and angle that corresponds to each part are;

Learn more here:

https://brainly.com/question/11590323

Step-by-step explanation:

PYTHAGORAS THEOREM

[tex] {c}^{2} - {b}^{2} = {a}^{2} \\ {7}^{2} - {5}^{2} = {x}^{2} \\ 49 - 25 = 24 \\ \sqrt{24} = 4.89897948557[/tex]

Using the principle of probability, the probability that the outcome of both spins does not land on "bankrupt" is 1/144

Given the Parameters :

Recall :

First spin :

Second spin :

P(neither lands on bankrupt) = 1/12 × 1/12 = 1/144

Therefore, the probability that neither lands on bankrupt is 1/144

Learn more : https://brainly.com/question/18405415

Answer:

.84

Step-by-step explanation:

got it right on kahn

Answer:

heather bought 37 yards of ribbon

Step-by-step explanation:

25-22.04=2.96

2.96/0.08=296/8

296/8=37

Answer:

Step-by-step explanation:

$25 - $22.04 = $2.96

$2.96 / 8 cents = (Not sure how American currency works, so you'll have to do the calculation yourself, my apologies)

The answer to that is your answer

Answer:

A. graph A

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 0 , 6 )

Focus:  

( 0 , 73 /12 )

Axis of Symmetry:  

x =  0

Directrix:  

y  =  71 /12

x

y

−

2

18

−

1

9

0

6

1

9

2

18

5 x n = -95

Divide both sides by 5:

N = -95/5

N = -19

The answer is -19

bitwduQUEd

Step-by-step explanation:

Answer:

15.................

Step-by-step explanation:

please Mark my answer in brainlist

Answer:

[tex](3x + 6) + (x + 10) = 90(being \: complementary \: angle) \\ \\3x + 6 + x + 10 = 90 \\ 4x + 16 = 90 \\ 4x = 90 - 16 \\ x = \frac{74}{4} \\ x = 18.5[/tex]

Answer:

Step-by-step explanation:

A) $51.5

B) two children tickets

Step-by-step explanation:

Given that the cost of admission for the Flemington Aquarium is $11.50 for each senior citizen, $14.75 for each adult and $7.25 for each child.

The cost of admission for the family of 3 adults and 1 child will be

(3 × 14.75) + (1 × 7.25)

44.25 + 7.25 = 51.5 dollars

What if two more tickets for admission are purchased for a total of $14.50?

Since there is no ticket of that amount, we can determine what type of tickets the family purchases by taking the amount of child tickets away from the amount. That is

14.5 - 7.25 = 7.25

The remaining money amount to child ticket again. We can therefore conclude that the two more tickets for admission purchased for a total of $14.50 are for 2 children tickets

hope this helped<3!!

15 feet hope this helps UwU

Answer:

3:10 bcs 6:20 simplify by 2

Answer:

100

Step-by-step explanation:

100  liters to kilometers i think hope this helps

Answer:

x<16

Step-by-step explanation:

let x be the number

2x8>x

16>x

Answer:

5 × 7

Step-by-step explanation:

To divide by a fraction, multiply by its reciprocal.

To divide by the fraction 1/7, multiply by the reciprocal of 1/7 which is 7.

5 ÷ 1/7 = 5 × 7

Answer:

Edward earned $720 in interest.

Step-by-step explanation:

3% of 6000 is 180

0.03*6000 is 180

180*4=720

$720

Answer: interest = 720

Step-by-step explanation:

3/100 x 6,000/1 = 180/1 = 180

since it's 4 years

180 x 4 = 720

Percentage is roughly always out of a 100

Answer: y = (-11/2)x -52

Aka y=mx*b

Step-by-step explanation:

[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{3})\qquad(\stackrel{x_2}{-8}~,~\stackrel{y_2}{-8})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-8}-\stackrel{y1}{3}}}{\underset{run}{\underset{x_2}{-8}-\underset{x_1}{(-10)}}}\implies \cfrac{-11}{-8+10}\implies \cfrac{-11}{2}[/tex]

[tex]\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{11}{2}}[x-\stackrel{x_1}{(-10)}]\\\\\\ y-3=-\cfrac{11}{2}(x+10)\implies y-3=-\cfrac{11}{2}x-55\implies y = -\cfrac{11}{2}x-52[/tex]