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1 month ago

Complete the equation describing how x and y are related

Mathematics

2 answers:

PIT_PIT [12.4K]1 month ago

5 0

y = 3x. Step-by-step clarification: -2 multiplied by 3 equals -6, -1 multiplied by 3 equals -3, 0 multiplied by 3 equals 0, 1 multiplied by 3 equals 3, 2 multiplied by 3 equals 6, and 3 multiplied by 3 equals 9.

Zina [12.3K]1 month ago

5 0

The result is 3. Step-by-step clarification: It can be observed that y is produced by multiplying x by 3.

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Tia Veronica Pam and Lily are sisters. Tia is eight years old and she’s two years older than Pam. Pam is five years younger than

Svet_ta [12734]

Answer:

Pam (6 years), Tia(8 years), Veronica(11 years), Lily (15 years)

Step-by-step explanation:

Tia's age is 8 years

______________________________________________

Since Tia is 2 years senior to Pam

this can be expressed as

Pam's age + 2 years = Tia's age

Pam's age + 2 years = 8 years

Thus, Pam's age is 8 years- 2 years = 6 years

______________________________________________

As Pam is five years younger than Veronica

it can be concluded that Veronica's age is Pam's age plus 5 years

In mathematical terms

Pam's age + 5 years = Veronica's age

6 years + 5 years = Veronica's age

Thus, Veronica's age = 11 years

______________________________________________

Since Veronica is four years younger than Lily

it can be expressed that Veronica's age is (Lily's age - 4 years)

Mathematically

Veronica's age = Lily's age - 4 years

11 years = Lily's age - 4 years

Therefore, Lily's age = 11 years + 4 years = 15 years

Lily's age = 15 years

______________________________________________

If we arrange the ages from youngest to oldest, we have

Pam is 6 years old

Tia is 8 years old

Veronica is 11 years old

Lily is 15 years old

Ranking the sisters from youngest to oldest

Pam, Tia, Veronica, Lily

3 0

2 months ago

The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)

lawyer [12517]

Answer:

Cardiac output: $F=0.055 L\s$

Step-by-step explanation:

Details: The cardiac output is assessed using the dye dilution technique with 3 mg of dye.

Goal: To determine the cardiac output value.

Solution:

Cardiac output formula: $F=\frac{A}{\int\limits^T_0 {c(t)} \, dt}$ ---1

A = 3 mg

$\int\limits^T_0 {c(t)} \, dt =\int\limits^{10}_0 {20te^{-0.06t}} \, dt$

Utilize integration by parts

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}$

$[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}$

Insert the value into 1

Cardiac output: $F=\frac{3}{54.49}$

Cardiac output: $F=0.055 L\s$

Consequently, Cardiac output: $F=0.055 L\s$

4 0

2 months ago

A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann

AnnZ [12381]

The calculated 95% confidence interval for the percentage of coffee drinkers expressing addiction ranges from 21% to 31%. By defining the sample proportion and acknowledging a sample size of 675, while also factoring in a maximum margin of sampling error set at ±5%, the final confidence interval for addiction rates among all surveyed coffee drinkers is established.

5 0

2 months ago

ΔMNO was dilated, then _____________, to create ΔYHQ.

babunello [11817]

The answer is rotated. When dilating figures, we either increase or decrease their dimensions. Knowing the scale factor is crucial as it indicates whether the figure enlarges or reduces; a positive scale factor suggests expansion, while a negative one indicates reduction. The center of dilation is where lines connecting the original and dilated shapes intersect. Conversely, to rotate a shape involves turning it around a designated fixed point known as the center of rotation.

8 0

2 months ago

Read 2 more answers