<img src="https://tex.z-dn.net/?f=%20%5Cbf%7B%20%7B15%7D%5E%7B2%7D%20%5Ctimes%20%20%7B3%7D%5E%7B2%7D%20%20%20%5Cdiv%20%20%5Csqrt

All categories

3 years ago

%5B3%5D%7B125%7D%20%20%2B%20%20%7B9%7D%5E%7B3%7D%20%20%3D%20....%7D%20" id="TexFormula1" title=" \bf{ {15}^{2} \times {3}^{2} \div \sqrt[3]{125} + {9}^{3} = ....} " alt=" \bf{ {15}^{2} \times {3}^{2} \div \sqrt[3]{125} + {9}^{3} = ....} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

34kurt3 years ago

7 0

$\\ \tt\Rrightarrow 15^2\times 3^2\div \sqrt[3]{125}+9^3$

$\\ \tt\Rrightarrow 3^25^2\times 3^2\div 5^1+3^33^3$

$\\ \tt\Rrightarrow 3^45^1\div 3^6$

$\\ \tt\Rrightarrow 3^{-2}5$

$\\ \tt\Rrightarrow \dfrac{1}{3^2}5$

$\\ \tt\Rrightarrow \dfrac{5}{9}$

You might be interested in

3. A sphere has a volume of 3000 m.3 Find its diameter.

nekit [7.7K]

Answer:

8.565

Step-by-step explanation:

Volume=4/3pir^3

3000m^3=4/3pir^3

3000/4/3=pir^3

25/pi=r^3

approx 78.539=r^3

r=4.2825

we know,

2r=d

d=2×4.2825

d=8.565

You can round the answer off yourself :3

5 0

4 years ago

The circumference of a circle is 28. Contained in that circle is a smaller circle with area 36π. A point is selected at random f

Marrrta [24]

Answer:

$Pr = \frac{9}{49}$

Step-by-step explanation:

Given

$d = 28$ --- big circle

$A_2 = 36 \pi$ --- area of small circle

Required

Probability that a point selected lands on the small circle

Calculate the area of the big circle using;

$A_1 = \pi r^2$

Where

$r = d/2$

So, we have:

$r = 28/2 = 14$

This gives:

$A_1 = \pi * 14^2$

$A_1 = \pi * 196$

$A_1 = 196\pi$

The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle

This gives:

$Pr = \frac{36\pi}{196\pi}$

$Pr = \frac{36}{196}$

Simplify

$Pr = \frac{9}{49}$

3 0

3 years ago

HELLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

sleet_krkn [62]

Answer:

Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

Step-by-step explanation:

Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be done:

Adam + Brandon + Chen = 200

Damion + Erica = 150

Brandon + Chen + Damion = 215

Adam + Erica = 135

Chen + Damion + Erica = 224

Adam + Brandon = 126

Adam + Brandon = 126 + Chen = 200

Chen = 200 - 126

Chen = 74

Damion and Erica scored more than Chen

Chen + Damion + Erica = 224

74 + Damion + Erica = 224

Damion + Erica = 150

Damion = 75

Erica = 75

Brandon + Chen + Damion = 215

Brandon + 74 + 75 = 215

Brandon = 215 - 74 - 75

Brandon = 66

Adam = 350 - 75 - 75 - 74 - 66

Adam = 60

Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.

3 0

3 years ago

10. Use the vertical line test to determine if the graph below

klasskru [66]

The graph is a function. When drawing a vertical line, there will be two circumstances:

The line intersects only one point on a graph.
The line intersects more than one point on a graph ( POI > 1 )

For the first circumstance, the graph that has only one intersect with a line - it is a function. For the second circumstance, the graph cannot be a function as it gives more than one y-value for a single x-value.

The conclusion is that if a line only has one intersect on a graph then it is a function. Otherwise, not a function but a relation instead. All functions are relations, but not all relations can be functions.

Answer

The graph passes the vertical line test and is a function.

4 0

3 years ago

Can anyone help with #4

noname [10]

---------------------------------------------
Define x and y
---------------------------------------------
Let x be the amount of the cream (which has 2.5% of hydrocortisone)
Let y be the amount of the water-washable base. (which has 0% of hydrocortisone)

---------------------------------------------
Construct the 2 equations:
---------------------------------------------
Both x and y must add up to 120g
⇒ x + y = 120

Both x and y must add up to only 1% of hydrocortisone.
⇒0.025x + 0.0y = 0.01 x 120
⇒0.025x = 1.2

---------------------------------------------
Solve x and y:
---------------------------------------------
x + y = 120 ----------------- (equation 1)
0.025x = 1.2 ----------------- (equation 2)

---------------------------------------------
From equation 2:
---------------------------------------------
0.025x = 1.2
x = 1.2 ÷ 0.025
x = 48

---------------------------------------------
Substitute x = 48 into equation 1:
---------------------------------------------
x + y = 120
48 + y = 120
y = 120 - 48
y = 72

-------------------------------------------------------------------------------------------------------
Answer: 48g of 2.5% of the cream and 72g of the water washable base are needed to make 120g of the prescription.
-------------------------------------------------------------------------------------------------------

5 0

3 years ago