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3 years ago

Select all the expressions equivalent to (4x⁵)(5x⁶).

Mathematics

1 answer:

Liula [17]3 years ago

3 0

Step-by-step explanation:

$= 4 {x}^{5} \times 5 {x}^{6}$

$= (4 \times 5) {x}^{5 + 6}$

$= 20 {x}^{11}$

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A right angle has an area of 13m*2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the

Alex_Xolod [135]

The answer is: 117m²

The explanation is shown below:

1. You have the following information given in the problem:

- The triangle has an area of 13 m².

- The dimensions of the triangle are increased by a scale factor of 3.

2. Therefore, to solve the exercise you must multiply the area by $3^{2}=9$ , as following:

$A=(13m^{2})(9)\\A=117m^{2}$

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3 years ago

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If the sample is truly random, every member of the population should have an equal chance to be selected. Because of this, Paula and Peter's probability of being chosen will be equal: 1/9800

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3 years ago

Evaluate the imaginary number i^3

Pavlova-9 [17]

The answer to the problem i^3 is -i

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3 years ago

Graph the functions and approximate an x-value in which the exponential function exceeds the polynomial function. y = 4x y = 7x2

nordsb [41]

Answer:

The Exponential function is

$y=4^x$

And the polynomial function is

$y=7 x^2 +4 x -2$

And, we have to find the value of x for which, exponential function exceeds the polynomial function which can be written as

$4^x> 7 x^2 +4 x -2$

1. When , x= -1

LHS

$4^{-1}=\frac{1}{4}=0.25$

RHS

$=7*(-1)^2 +4 *(-1)-2\\\\=7-4-2=1$

2. When , x=0

L HS

$4^0=1$

RHS

$7*0+4*0-2= -2$

3. When ,x= 0.5

L HS

$4^{0.5}=2$

RHS

$=7*0.25 +4*0.5 -2\\\\= 1.75+2-2\\\\=1.75$

4. When , x=2

LHS

$4^{2}=16$

RHS

$=7*4^2+4*4-2\\\\=112+16-2\\\\=126$

The Minimum value for which exponential function exceeds the polynomial function is , x= 0.5

But,there is other value for which exponential function exceeds the polynomial function is , x=2.

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2 years ago

Kenneth earns $450 for working 37 1/2 hours. If Kenneth works for 42 hours next week, how much will he earn. A.255.00. B.12.00.

iren2701 [21]

Answer:

Kenneth will earn about $ 504 the next week

Step-by-step explanation:

The first thing we will have to figure out is how much Kenneth earns per hour. Then we can get how much he will earn when he wors for 42 hours.

to get Kenneth's wage per hour, we will divide the sum he is paid in the first week by the number of hours he worked that week.

This is 450/ 37.5 = 12 dollars per hour.

Kenneth earns $12 per hour.

If Kenneth works for 42 hours, he will earn 42 X 12 = $ 504 the next week

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3 years ago