All categories

3 years ago

Help pls image attached

Mathematics

2 answers:

zimovet [89]3 years ago

6 0

Answer:

Step-by-step explanation:

lapo4ka [179]3 years ago

3 0

Answer:

Last Option (8,6) is the right answer.

Step-by-step explanation:

The given function is f(x) = 8 - ∛x

We can rewrite the function f(x) = 2³ - ∛x as y = 2³ - ∛x

Now we will check for each point whether it lies on the graph.

For (-64,12)

y = 8 - ∛-64

y = 8 - ∛(-4)³ = 8 - (-4) = 12

Therefore this point lies on the graph.

For point (125,3)

y = 8 - ∛125

y = 8 -5 =3

Therefore the point lies on this graph.

For point (343,1)

y = 8 - ∛343

y = 8 - ∛7³ = 8 - 7 = 1

Therefore the point lies on graph.

For point (8,5)

y = 8 - ∛8

y = 8 - 2 = 6 ≠ 5

While the value of x coordinate of the given point is 8.

Therefore this point doesn't lie on the given graph.

You might be interested in

Sarah's restaurant bill came to us18.80 she usually leaves a 15%tip.how much tip did she leave

Zarrin [17]

Answer:

2.82

Step-by-step explanation:

.15 x 18.80 = 2.82

8 0

3 years ago

Find the perimeter of the triangle defined by the coordinates (7, 1), (-6, 1), and (10, 6). (Round to nearest tenth)

matrenka [14]

Answer:

$35.6\ units$

Step-by-step explanation:

we know that

The perimeter of triangle is equal to the sum of the length of the three sides

Let

$A(7, 1), B(-6, 1), C(10, 6)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(7, 1), B(-6, 1)$

substitute in the formula

$d=\sqrt{(1-1)^{2}+(-6-7)^{2}}$

$d=\sqrt{(0)^{2}+(-13)^{2}}$

$dAB=13\ units$

Find the distance BC

$B(-6, 1), C(10, 6)$

substitute in the formula

$d=\sqrt{(6-1)^{2}+(10+6)^{2}}$

$d=\sqrt{(5)^{2}+(16)^{2}}$

$dBC=16.8\ units$

Find the distance AC

$A(7, 1), C(10, 6)$

substitute in the formula

$d=\sqrt{(6-1)^{2}+(10-7)^{2}}$

$d=\sqrt{(5)^{2}+(3)^{2}}$

$dAC=5.8\ units$

Find the perimeter

$P=dAB+dBC+dAC$

$P=13+16.8+5.8=35.6\ units$

4 0

3 years ago

Dion has a collection of 15 model cars he wants to display them in an array how many ways can he arrange the cars

miv72 [106K]

Answer:

IN 3 Ways

Step-by-step explanation:

8 0

3 years ago

Find the 4th term in the expansion of (x-2)^11

Natali [406]

Answer:

4th term = 2048

Step-by-step explanation:

substitute x for 4

(4 - 2)^11

= 2^11

= 2048

8 0

3 years ago

Ariel has a plastic Ice cream cone in her food play set. The ice cream cone is a half sphere sitting on top of the cone. What is

nlexa [21]

Answer:

$753.6 cm^{3}$

Step-by-step explanation:

Given : The ice cream cone is a half sphere(hemisphere) sitting on top of the cone.

To Find : volume of the toy Ice cream cone.

Solution :

Refer the figure

We can see that radius of cone = radius of half sphere(hemisphere) = 6cm

Height of cone = 8 cm

Volume of the toy Ice cream cone = VOLUME OF CONE + VOLUME OF HEMISPHERE .

First calculate the volume of cone .

Formula of volume of cone : $\frac{1}{3} \pi r^{2} h$

Where r = radius of cone and h = height of cone and $\pi = 3.14$

So, the volume of ice cream cone :

⇒ $\frac{1}{3} \pi r^{2} h$

⇒ $\frac{1}{3} *3.14*(6)^{2} *8$

⇒ $\frac{1}{3} *3.14*36*8$

⇒ $\frac{904.32}{3}$

⇒ $301.44$

Thus the volume of cone is $301.44 cm^{3}$

Now formula of volume of sphere :

$\frac{2}{3} \pi r^{3}$

r = radius = 6 cm

$\frac{2}{3} *3.14*(6)^{3}$

$\frac{2}{3} *3.14*216$

$\frac{1356.48}{3}$

$452.16$

Thus the volume of the hemisphere is $452.16cm^{3}$

Now , Since we know that

Volume of the toy Ice cream cone = VOLUME OF CONE + VOLUME OF HEMISPHERE .

⇒ 301.44 +452.16

⇒ $753.6 cm^{3}$

Hence, The volume of the toy Ice cream cone is $753.6 cm^{3}$

8 0

3 years ago

Read 2 more answers