MATHEMATICS HIGH SCHOOL

Write an expression that is equivalent to 5(t+3) .

Answers

Answer 1
Answer:

Answer: 5t+15

Step-by-step explanation: Distribute the 5 into the parenthesis.

5 x t = 5t

5 x 3 = 15

You will get 5t +15.
Answer 2
Answer:

Answer: 5t+15

This is equivalent to 5t+5*3

To get the answer, you multiply the outer term 5 by each term inside

5 times t = 5*t = 5t

5 times 3 = 5*3 = 15

Then you add up those products to get 5t+15.

This is using the distributive property.

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URGENT PLEASE HELP ME WITH THIS MATH QUESTION

Find the volume of this square pyramid.48 cm3
96 cm3
144 cm3
288 cm3

Answers

Formula:

V = 1/3 * b^2 * h

Plug in what we know:

V = 1/3 * 6^2 * 4

Simplify exponent:

V = 1/3 * 36 * 4

Multiply all 3 numbers together:

V = 48cm^3
V=a^(2)·(h/3)
a=base edge
h= height
V=6^(2)·(4/3)
V=36·(4/3)
V=48
48 cm³

If the circumference of a baseball is 24 cm what is the volume of the object

Answers

2\pi R=24cm\ \ \ /:2\pi\n\nR=(24)/(2\pi)\n\nR=(12)/(\pi)\ (cm)\n\nV=(4)/(3)\pi R^3\n\nV=(4)/(3)\pi\cdot\left((12)/(\pi)\right)^3=(4)/(3)\pi\cdot(1728)/(\pi^3)=(2304)/(\pi)\ (cm^3)\approx=(2304)/(3.14)\approx733.76\ (cm^3)

Let $f(x) = x^2$ and $g(x) = \sqrt{x}$. Find the area bounded by $f(x)$ and $g(x).$

Answers

The area bounded by the functions f(x) and g(x) in graph below.

The given function are f(x)=x² and g(x)=√x.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To find the area between two curves defined by functions, integrate the difference of the functions. If the graphs of the functions cross, or if the region is complex, use the absolutevalue of the difference of the functions.

Area bounded = |x²-√x|

Find the domain by finding where the expression is defined.

Interval Notation:

[0,∞)

Set-Builder Notation:{x|x≥0}

Therefore, the area bounded by the functions f(x) and g(x) in graph below.

To learn more about the function visit:

brainly.com/question/28303908.

#SPJ2

Answer:

\large\boxed{1(1)/(3)\ u^2}

Step-by-step explanation:

Let's sketch graphs of functions f(x) and g(x) on one coordinate system (attachment).

Let's calculate the common points:

x^2=√(x)\qquad\text{square of both sides}\n\n(x^2)^2=\left(√(x)\right)^2\n\nx^4=x\qquad\text{subtract}\ x\ \text{from both sides}\n\nx^4-x=0\qquad\text{distribute}\n\nx(x^3-1)=0\iff x=0\ \vee\ x^3-1=0\n\nx^3-1=0\qquad\text{add 1 to both sides}\n\nx^3=1\to x=\sqrt[3]1\to x=1

The area to be calculated is the area in the interval [0, 1] bounded by the graph g(x) and the axis x minus the area bounded by the graph f(x) and the axis x.

We have integrals:

\int\limits_(0)^1(√(x))dx-\int\limits_(0)^1(x^2)dx=(*)\n\n\int(√(x))dx=\int\left(x^(1)/(2)\right)dx=(2)/(3)x^(3)/(2)=(2x√(x))/(3)\n\n\int(x^2)dx=(1)/(3)x^3\n\n(*)=\left((2x√(x))/(2)\right]^1_0-\left((1)/(3)x^3\right]^1_0=(2(1)√(1))/(2)-(2(0)√(0))/(2)-\left((1)/(3)(1)^3-(1)/(3)(0)^3\right)\n\n=(2(1)(1))/(2)-(2(0)(0))/(2)-(1)/(3)(1)}+(1)/(3)(0)=2-0-(1)/(3)+0=1(1)/(3)

several friends each had 2/5 of a bag of peanuts left over from the baseball game. they realized that they could had bought two fewer bags of peanuts between them. how Manny friends went to the game?

Answers

the answer is 5.

5 times 2/5 = 2 bags

752988 rounded to the nearest ten thousand

Answers

to the nearest ten thousand is 750,000

Does the table represent an exponential function?|X: 1|2|3|4|
|Y: 4|8|12|16|

-Yes
-no

Answers

Hello,

the table is y=4x is linear not exponential
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