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3 years ago

Does the function ƒ(x) = 5e0.25x represent exponential growth, decay, or neither?

Mathematics

1 answer:

N76 [4]3 years ago

6 0

Step-by-step explanation:

it is exponential growth because the coefficient of x is not negative

the evidence is in the image above

the gradient increases

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.

Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be $(x+2)$

Third consecutive number will be $(x+4)$

Fourth consecutive number will be $(x+6)$

Now, as given seven times the first exceeds their sum by 18.

∴ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

solving the equation to find the number.

⇒ $[x+(x+2)+(x+4)+(x+6)]+18 = 7x$

Opening parenthesis

$x+x+2+x+4+x+6+18 = 7x$

⇒ $4x+30= 7x$

subtracting both side by 4x

⇒ $30= 3x$

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

First number is 10

Second consecutive number will be $(10+2)$ = 12

Third consecutive number will be $(10+4)$ = 14

Fourth consecutive number will be $(10+6)$ = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0

3 years ago

All boys grow up 3.75 inches per year. You measure a boy who is 9 years old

Brilliant_brown [7]

Answer:

UwU UwU UwU UwU

Step-by-step explanation:

5 0

3 years ago

28. Which of the following is the correct measure of

FrozenT [24]

Answer:

D) 44°

Step-by-step explanation:

According to the diagram we observe:

∠ACD is the exterior angle of triangle ABC.

As we know the exterior angle is same as the some of the remote interior angles.

It can be shown as:

m∠ACD = m∠CAB + m∠CBA

Substitute the values and solve for x:

5x - 18 = 3x - 2 + x + 14
5x - 18 = 4x + 12
5x - 4x = 12 + 18
x = 30

Find the measure of m∠ABC:

x + 14 = 30 + 14 = 44

The matching answer choice is D.

7 0

2 years ago

Ummmm i really need help

ratelena [41]

Answer:

Step-by-step explanation:

Angles a and b are complementary angles because they both add up to 90 degrees, which fulfills the definition of complementary.

3 0

3 years ago

Read 2 more answers

There is no sales tax on the food she buys. Susan pays for the items and receives $0.80 in change. What amount of money does Sus

zysi [14]

Note: You missed to add the complete question. Here is the complete question:

Susan buys the item listed below at a grocery store. 2 packages of chicken priced at $12.36 per package. 1/2 pound of broccoli priced at $1.98 per pound. 1gallon of milk priced at $3.49 per gallon. There is no sales tax on the food she buys. Susan pays for the items and recevies $0.80 in change. What amount of money does Susan use to pay for the items?

Answer:

If Susan receives $ $0.80$ in return, then she would have payed $ $30$ to begin with.

Step-by-step explanation:

The price for items:

Chicken price per package = $12.36

The price of broccoli per pound = $1.98

The price of 1 gallon of milk = $3.49

Her shopping items:

Chicken price for two packages = 2 × 12.36 = $24.72

The price of broccoli 1/2 pound = 1.98/2 = $0.99

The price of 1 gallon of milk = $3.49

As there are no sales tax

Therefore, adding her shopping items:

$24.72 + $0.99 + $3.49 - $0 = $29.2

If Susan receives $ $0.80$ in return, then she would have payed $ $30$ to begin with.

6 0

3 years ago