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3 years ago

PLEASE HELP ASAP! Classify the polynomial, 8m^3–10m^2– 7, by degree and number of terms.

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

The answer is m • (2m - 3) • (4m + 1)

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Steven has some money. If he spends $9.00, then he will have 3/5 of the amount he started with

ELEN [110]

Answer:

m - 9 = 3/5 m (Steve has some money. After spending $9, he now has 3/5 of his original amount)

So it's just the matter of isolating m. Subtract m from both sides:

-9 = -2/5 m

Now you just need to multiply both sides by -5/2 to get your final answer.

Step-by-step explanation:

8 0

3 years ago

A quadrilateral is formed by the points a(1, -1), b(0, 3), c(5, 5), and d(6, 1). plot the points and use the distance formula to

CaHeK987 [17]

The type of quadrilateral is rectangle.

What is distance formula?

The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]

Given coordinates: a(1, -1), b(0, 3), c(5, 5), and d(6, 1).

ab= √(0-1)² + (3+1)²

ab= √17

bc= √(5-0)² + (5-3)²

bc= √29

cd= √(6-5)² + (1-5)²

cd= √17

da=√(6-1)² + (1+1)²

da= √29

ac=√(5-1)² + (5+1)²

ac= √16+36

ac= √52

bd =√(6-0)² + (1-3)²

bd= √36+4

bd= √40

Learn more about this concept here:

brainly.com/question/12864470

#SPJ1

7 0

2 years ago

A town has 5000 people in year t = 0. Calculate how long it takes for the population P to double once, twice, and three times, a

UNO [17]

Answer:

Step-by-step explanation:

At the time t = 0, population of the town = 5000

Rate of population increase = 500 per year

Therefore, the equation that will represent the population will be

$P_{t}=P_{0}+500t$

Where $P_{t}$ = Population after t years

$P_{0}$ = Initial population

t = Time in years

a). For double once the population will be 500×2 = 10000

By plugging in the values in the equation,

10000 = 5000 + 500t

500t = 10000 - 5000

500t = 5000

t = $\frac{5000}{500}$

t = 10 years

For Double twice,

Population will be = 10000×2 = 20000

Now we plug in the values in the equation again

20000 = 5000 + 500t

500t = 20000 - 5000

500t = 15000

t = $\frac{15000}{500}$

t = 30 years

For double thrice,

Population of the town = 20000×2 = 40000

Now we plug in the values in the equation,

40000 = 5000 + 500t

500t = 40000 - 5000

500t = 35000

t = $\frac{35000}{500}$

t = 70 years

b). If the population growth is 5%.

Then the growth will be exponential represented by

$T_{n}=T_{0}(1+\frac{r}{100})^{t}$

$T_{n}$ = Population after t years

$T_{0}$ = Initial population

t = time in years

For double once,

Population after t years = 10000

$10000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{10000}{5000}$

$(1.05)^{t}=2$

Take log on both the sides

$log(1.05)^{t}=log2$

tlog(1.05) = log2

t = $\frac{log2}{log1.05}$

t = 14.20 years

For double twice,

Population after t years = 20000

$20000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{20000}{5000}$

$(1.05)^{t}=4$

Take log on both the sides

$log(1.05)^{t}=log4$

tlog(1.05) = log4

t = $\frac{log4}{log1.05}$

t = 28.413 years

For double thrice

Population after t years = 40000

$40000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{40000}{5000}$

$(1.05)^{t}=8$

Take log on both the sides

$log(1.05)^{t}=log8$

tlog(1.05) = log8

t = $\frac{log8}{log1.05}$

t = 42.620 years

4 0

3 years ago

The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 19 members, how

Valentin [98]

Answer:

Officers can be chosen in 5,814 different ways.

Step-by-step explanation:

Given that the bowling team at Lincoln High School must choose a president, vice president, and secretary, to determine, if the team has 19 members, in how many ways could the officers be chosen, the following calculation must be performed:

19 x 18 x 17 = X

342 x 17 = X

5.814 = X

Therefore, officers can be chosen in 5,814 different ways.

3 0

3 years ago

Helppp - find the area of each figure & round to the nearest tenth

Karo-lina-s [1.5K]

Answer:

112 ft

Step-by-step explanation:

9) Here, we are finding the area of a triangle. The equation for area is: