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3 years ago

How do I work all of these out separately

Mathematics

1 answer:

umka21 [38]3 years ago

6 0

I)
7^0 = 1

ii)
5^-1 = 1/5

iii)
9^1/2 = √9 = <span>√3^2 = 3

hope that helps</span>

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a rectangular prism has a base that is 6 M by 3.5 m in the prism is 9 meters high what is the surface area of the prism

alexira [117]

Answer:

213 meters squared

Step-by-step explanation:

The surface area of a rectangular prism is found using the formula A=2(wl+hl+hw). Here substitute l = 6, w = 3.5 and h = 9.

A = 2((3.5*6) + (9*6) + (3.5*9))

A = 2(21 + 54 + 31.5)

A = 2(106.5)

A = 213

7 0

3 years ago

Jlenok [28]

Answer:

(x - $\frac{5}{2}$ )² + $\frac{7}{4}$

Step-by-step explanation:

x² - 5x + 8

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 5x

x² + 2(- $\frac{5}{2}$ )x + $\frac{25}{4}$ - $\frac{25}{4}$ + 8

= (x - $\frac{5}{2}$ )² - $\frac{25}{4}$ + $\frac{32}{4}$

= (x - $\frac{5}{2}$ )² + $\frac{7}{4}$

5 0

2 years ago

What is the sum of the solutions of the equation 1.5x^2 - 2.5x -1.5 = 0? Round to the nearest hundredth.

BARSIC [14]

Answer:

$Sum = 1.67$

Step-by-step explanation:

Given:

$1.5x^2 - 2.5x -1.5 = 0$

Required

Determine the sum of the solutions

This question will be answered using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

Where:

$a = 1.5$

$b = -2.5$

$c = -1.5$

So, we have:

$x = \frac{-(-2.5)\±\sqrt{(-2.5)^2 - 4*1.5*-1.5}}{2*1.5}$

$x = \frac{2.5\±\sqrt{6.25 +9}}{3}$

$x = \frac{2.5\±\sqrt{15.25}}{3}$

$x = \frac{2.5\±3.91}{3}$

$x = \frac{2.5+3.91}{3}$ or $x = \frac{2.5-3.91}{3}$

The sum of the solution is then calculated as:

$Sum = \frac{2.5+3.91}{3} + \frac{2.5-3.91}{3}$

Take L.C.M

$Sum = \frac{2.5+3.91+2.5-3.91}{3}$

$Sum = \frac{5}{3}$

$Sum = 1.67$

5 0

3 years ago

In making a fruit punch for a party, you mixed 1/2 gallon of grape juice with 1/5 gallon of orange juice. How many gallons of pu

butalik [34]

The answer is 7/10 the common demontior is 10 so the numbers change to 2/10 + 5/10 witch equals 7/10

5 0

3 years ago

Read 2 more answers

Solve the inequality x - 4 < -3. Then graph the solution set. Show your work.

kari74 [83]

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

+ 4 +4 Do inverse operations by adding 4 on both sides

x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4 -3 -2 -1 0 1 2 3 4

The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

4 0

3 years ago