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3 years ago

Sooooooooo who here is good at mathhhh not meh

Mathematics

1 answer:

Phantasy [73]3 years ago

8 0

Answer:

The answer as a mixed number is $=15\frac{3}{4}.$

Step-by-step explanation:

Given:

5 1/4 ÷ 1/3.

Now, to solve as a mixed number in simplest form.

$5\frac{1}{4} \div \frac{1}{3}$

Now, changing the mixed fraction into improper:

$=\frac{21}{4} \div \frac{1}{3}$

So, to solve we change the division into multiplication.

Thus, R.H.S of the fraction will get reverse:

$=\frac{21}{4} \times \frac{3}{1}$

$=\frac{63}{4}$

Now, changing the improper fraction into mixed:

$=15\frac{3}{4} .$

Therefore, the answer as a mixed number is $=15\frac{3}{4} .$

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4 years ago

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What are the truck ID’s of trucks that have carried small shipments. Small shipments are defined as those that weigh less than 8

Ivanshal [37]

Table for the question is attached in the picture below :

Answer:

SELECT distinct(TRUCK_ID), WEIGHT from SHIPMENT where WEIGHT < 800 ;

Step-by-step explanation:

The Structured query language (SQL) defined above, returns only the TRUCK_ID and Weight column from the shipment table as they are the only two columns listed after the select keyword. The condition is added using the WHERE keyword on the weight table, this filters the result returned to include only rows where the weight value is less than 800. The distinct keyword used alongside the TRUCK_ID column ensures that a certian TRUCK_ID value isn't returned more than once (Hence, it is used to avoid duplicates).

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3 years ago

Evaluate using the finite geometric sum formula

Sever21 [200]

Answer:

$S_9=-18.703$ .

Step-by-step explanation:

The given series is,

$\sum_{i=1}^9(-\frac{1}{2})^{i-1}$

When we substitute $i=1$ , we get the first term, which is $a_1=-28(-\frac{1}{2})^{1-1}$

This implies that,

$a_1=-28(-\frac{1}{2})^{0}$

$a_1=-28(1)=-28$ .

The common ratio is

$r=-\frac{1}{2}$

The finite geometric sum is given by the formula,

$S_n=\frac{a_1(r^n-1)}{r-1} , -1\:$ .

Since there are 9 terms, we find the sum of the first nine terms by putting $n=9$ in to the formula to get,

$S_9=\frac{-28((-\frac{1}{2})^9-1)}{-\frac{1}{2}-1}$ .

$S_9=\frac{-28((-\frac{1}{512})-1)}{-\frac{3}{2}}$ .

$S_9=\frac{-28(-\frac{513}{512})}{-\frac{3}{2}}$ .

$S_9=-28(\frac{171}{256})$ .

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$S_9=-18.703$ .

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3 years ago

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What is the relationship between the two equations: 3x + 4y = 12 & 6x + 8y = 48

Igoryamba

Answer:

Their slope is the same. Perpendicular

Step-by-step explanation:

3x + 4y = 12

4y=12-3x

y=-3/4x+3

6x + 8y = 48

8y=48-6x

y=-3/4+6

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3 years ago

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suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for

lubasha [3.4K]

Equation: L= -0.5D+34.

The water level be 26 feet in 16 days.

Step-by-step explanation:

Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).

The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.

⇒m= -0.5.

The line equation is y = mx+c. Let us rewrite as L= mD+c.

Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.

⇒L= (-0.5)D+c.

To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.

34= (-0.5)(0)+c.

c=34.

∴L= (-0.5)D+34.

To find the days when the water achieves level as 26 feet:

26 = (-0.5)D+34.

26-34= (-0.5)D.

-8 = (-0.5)D.

D= $\frac{-8}{-0.5}$ .

D= 16.

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4 years ago