All categories

3 years ago

Is -7 greater than -4

Mathematics

2 answers:

bulgar [2K]3 years ago

8 0

Answer:

Step-by-step explanation:

-7 is smaller than -4 because the farther down the negative part of the number line, the "smaller" it gets

antiseptic1488 [7]3 years ago

5 0

No you’re welcome :)

You might be interested in

Please help!! Will give brainliest if correct!

zubka84 [21]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the standard equation of a sphere that has diameter with the end points given below. (3,-2,4) (7,12,4)

DiKsa [7]

Answer:

The standard equation of the sphere is $(x-5)^{2} + (y-5)^{2} + (z-4)^{2} = 53$

Step-by-step explanation:

From the question, the end point are (3,-2,4) and (7,12,4)

Since we know the end points of the diameter, we can determine the center (midpoint of the two end points) of the sphere.

The midpoint can be calculated thus

Midpoint = $(\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2}, \frac{z_{1} + z_{2} }{2})$

Let the first endpoint be represented as $(x_{1}, y_{1}, z_{1})$ and the second endpoint be $(x_{2}, y_{2}, z_{2})$ .

Hence,

Midpoint = $(\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2}, \frac{z_{1} + z_{2} }{2})$

Midpoint = $(\frac{3 + 7 }{2}, \frac{-2+12 }{2}, \frac{4 + 4 }{2})$

Midpoint = $(\frac{10 }{2}, \frac{10}{2}, \frac{8 }{2})\\$

Midpoint = $(5, 5, 4)$

This is the center of the sphere.

Now, we will determine the distance (diameter) of the sphere

The distance is given by

$d = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} + (z_{2}- z_{1})^{2} }$

$d = \sqrt{(7 - 3)^{2} +(12 - -2)^{2} + (4- 4)^{2}$

$d = \sqrt{(4)^{2} +(14)^{2} + (0)^{2}$

$d = \sqrt{16 +196 + 0$

$d =\sqrt{212}$

$d = 2\sqrt{53}$

This is the diameter

To find the radius, r

From $Radius = \frac{Diameter}{2}$

$Radius = \frac{2\sqrt{53} }{2}$

∴ $Radius = \sqrt{53}$

r = $\sqrt{53}$

Now, we can write the standard equation of the sphere since we know the center and the radius

Center of the sphere is $(5, 5, 4)$

Radius of the sphere is $\sqrt{53}$

The equation of a sphere of radius r and center $(h,k,l)$ is given by

$(x-h)^{2} + (y-k)^{2} + (z-l)^{2} = r^{2}$

Hence, the equation of the sphere of radius $\sqrt{53}$ and center $(5, 5, 4)$ is

$(x-5)^{2} + (y-5)^{2} + (z-4)^{2} = \sqrt{(53} )^{2}$

$(x-5)^{2} + (y-5)^{2} + (z-4)^{2} = 53$

This is the standard equation of the sphere

6 0

3 years ago

What is the volume of the following rectangular prism? 3 1/3 units^2 <br> 1 2/5 units

nlexa [21]

The Answer : 23.6 units

6 0

2 years ago

Read 2 more answers

Roxanne has 1/2 as many beads as Sherrie. The number of beads Sherrie has is 4/5 that of Ting Ting's. Ting Ting has 165 beads. H

gregori [183]

165 Ting Ting's beads* (4 Sherrie's beads/ 5 Ting Ting's beads)= 132 Sherrie's beads.
132 Sherrie's beads* (1 Roxanne's bead/ 2 Sherrie's beads)= 66 Roxanne's beads.
Now that we know the number of beads Roxanne and Ting Ting have, let's subtract:
165 beads- 66 beads= 99 beads.
Hope this would help :))

7 0

3 years ago

Read 2 more answers

You randomly choose one of the following numbers shown. Find the probability the event can occur choosing a number greater than

sergey [27]

<h3>Answer: 7/11</h3>

======================================================

Explanation:

The event space is the set of outcomes we want to happen.

The event space is {5, 6, 7, 8, 9, 10, 11} which consists of getting a value greater than 4. There are 7 items in this event space. Let A = 7.

The sample space consists of all possible outcomes. The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} and there are 11 items in the sample space. Let B = 11.

Divide the values of A and B to get the answer we're after

A/B = 7/11

This is the probability of selecting a value greater than 4.

7 0

2 years ago

Is -7 greater than -4​

Is -7 greater than -4