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4 years ago

9(u-2) + 1.5u=8.25

Mathematics

2 answers:

lions [1.4K]4 years ago

8 0

U=2.5 because i had this question before ..

Colt1911 [192]4 years ago

6 0

Answer:

u= 2.5

Step-by-step explanation:

Using BIDMAS

Step 1: Expand the bracket

9(u-2) + 1.5u=8.25

9u-18+1.5u=8.25

Step 2: collect like terms

9u+1.5u=8.25+18

10.5u=26.25

Step 3: Divide both sides by 10.5 to get u

u= $\frac{26.25}{10.5}$ = 2.5

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The number of a particular fish in thousands x years after 1972 can be modeled by f(x)=230(0.886)x. Estimate the year when the n

sashaice [31]

Answer:

The year is 1979.

Step-by-step explanation:

Given:

The function relating fish population and number of years since 1972 is:

$f(x)=230(0.886)^x\\Where,\ f(x)\rightarrow \textrm{fish population}\\x\rightarrow \textrm{number of years passed after 1972}$

Now, when the fish population reaches 99 thousand, it means that $f(x)=99$ . Now, plugging in $f(x)=99$ in the above equation and solving for $x$ . This gives,

$99=230(0.886)^x\\\frac{99}{230}=0.886^x\\\\\textrm{Taking natural log on both sides}\\\ln(0.886)^x=\ln(\frac{99}{230})\\\\\textrm{Using log property: }\log a^b=b\log a\\x\ln (0.886)=\ln(0.43)\\x\times (-0.12)=-0.84\\x=\frac{-0.84}{-0.12}=7\ years$

Therefore, the year after 7 years passed since 1972 is given as:

1972 + 7 = 1979.

So, the year when the number of fish reaches 99 thousand is 1979.

8 0

3 years ago

PLEASE HELP WITH THIS AND SHOW WORK.

Angelina_Jolie [31]

Answer:

RECT and ANGL are similar triangles with a ratio of 9:16, and for TR, we have TR:24 in the ratio 9:16 so TR = 13.5

Hope this helps!

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3 years ago

Which equation represents a proportional relationship between x and y

Maru [420]

Answer:

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Step-by-step explanation:

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3 years ago

8. In the figure below, ABC is a right triangle, a + b - 135 degrees, and c + d = 55 degrees. Find x.

a_sh-v [17]

Answer:

x=80 degrees

Step-by-step explanation:

We are given that

ABC is a right triangle

Therefore, angle B=90 degrees

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Angle C=c+d=55 degrees

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We have to find the value of x.

We know that

In quadrilateral

Sum of all angles of quadrilateral=360 degree

$\angle A+\angle B+\angle C+\angle D=360^{\circ}$

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3 years ago

A group conducted a poll of 2025 likely voters just prior to an election. The results of the survey indicated that candidate A w

FrozenT [24]

Answer:

Check Explanation

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

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So, for each candidate, we can calculate the confidence interval for the population proportion of popular votes they would each receive.

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The true proportion of popular votes for the two candidates will lie between

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(45%, 49%)

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(44%, 48%)

So, the true proportion of popular votes for candidate A can take on any value from 45% to 49%, and that for candidate B can take on values from 44% to 48%.

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The clear winner cannot be determined from this confidence interval obtained from the survey, it really is too close to call!

Hope this Helps!!!

5 0

3 years ago