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Sedaia [141]
1 year ago
7

__ + (-3) = 0Which number goes in the box to make the number sentence true?A. -6B. -3c. OD. 3E. 6

Mathematics
1 answer:
N76 [4]1 year ago
7 0

Given data:

The given expression is __ + (-3) = 0.

The given expression can be written as,

\begin{gathered} x+(-3)=0 \\ x-3=0 \\ x=3 \end{gathered}

Thus, the correct option is (D).

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Enter an algebraic expression that represents the sum of fifty-seven and x cubed.
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A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that mo
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E) The sample size is n = 1,000, and 50 percent of all students use the vending machines.

Step-by-step explanation:

CollegeBoard

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2 years ago
Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 15 grams
hram777 [196]

Answer:

X(16)=25.71grams

Step-by-step explanation:

let X(t) denote grams of C formed in  t mins.

For X grams of C we have:

\frac{2}{3}Xg of A and \frac{1}{3}Xg of B

Amounts of A,B remaining at any given time is expressed as:

40-\frac{2}{3}Xg of A and  50-\frac{1}{3}Xg  of B

Rate at which C is formed satisfies:

\frac{dX}{dt} \infty(40-\frac{2}{3}X)(50-\frac{1}{3}X)->\frac{dX}{dt}=k(90-X)\\\therefore \frac{dX}{(90-X)^2}=kdt->\int{\frac{dX}{(90-X)^2}} \, =\int {k} \, dt  \\\therefore \frac{1}{90-X}=kt+c->90-X=\frac{1}{kt+c}\\\\X(t)=90-\frac{1}{kt+c}

Apply the initial condition,X(0)=0 ,to the expression above

0=90-\frac{1}{c} \ \ ->c=\frac{1}{90}\\\therefore\\X(t)=90-\frac{1}{kt+\frac{1}{90}} \ \ ->X(t)=90-\frac{90}{90kt+c}

Now at X(8)=15:

15=90-\frac{90}{90\times 8k+1}  \ ->75=\frac{90}{720k+1}\\k=0.0002778

Substitute  in X(t) to get

X(t)=90-\frac{90}{0.0002778t\times 90+1}\\X(t)=90-\frac{90}{0.25t+1}\\But \ t=16\\\therefore X(t)=90-\frac{90}{0.025\times16+1}\\X(t)=25.71

5 0
2 years ago
What is the 5004300 in standard form
Svet_ta [14]

Answer:

In standard form,

5004300. Five Millon four thousand and three hundred.

6 0
3 years ago
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