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3 years ago

Simplify the expression. 34 • 3

Mathematics

1 answer:

bekas [8.4K]3 years ago

3 0

Answer:

102

Step-by-step explanation:

34*3=102

the dot in the middle is just another way to say that it is multiplying the equation so it just mean that your are multiplying 34 by 3 which is 102

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Can someone please help me with this? I'd greatly appreciate it! Serious answers only please!

vampirchik [111]

First find the slope:
The slopes of perpendicular lines must multiply to -1.
-9m = -1 ----> m = 1/9

Next, use point-slope form:
y - y1 = m(x-x1) , where given point (0,5) is (x1,y1)
y - 5 = (1/9)(x - 0)

Finally, solve for y to put it in slope-intercept form:
y = (1/9)x + 5

6 0

3 years ago

When completing the square on the equation c2 + 110 = 12, the resulting solution is:<br> It

Delvig [45]

Answer:

$c=1$ and $c=-12$

Step-by-step explanation:

The correct equation is:

$c^2+11c=12$

To solve by completing the square method.

Solution:

We have:

$c^2+11c=12$

In order to solve by completing the square method we will carry out the following operations to the given equation to get a perfect square binomial.

We can write as:

$c^2+2.\frac{11}{2}c=12$

$c^2+2.\frac{11}{2}c+(\frac{11}{2})^2-(\frac{11}{2})^2=12$

$(c+\frac{11}{2})^2-(\frac{11}{2})^2=12$ [As $c^2+2.\frac{11}{2}c+(\frac{11}{2})^2=(c+\frac{11}{2})^2$ ]

Adding both sides by $(\frac{11}{2})^2$

$(c+\frac{11}{2})^2-(\frac{11}{2})^2+(\frac{11}{2})^2=12+(\frac{11}{2})^2$

$(c+\frac{11}{2})^2=12+\frac{121}{4}$

Taking LCD to add fraction.

$(c+\frac{11}{2})^2=\frac{48}{4}+\frac{121}{4}$

$(c+\frac{11}{2})^2=\frac{169}{4}$

Taking square root both sides.

$\sqrt{(c+\frac{11}{2})^2}=\sqrt{\frac{169}{4}}$

$c+\frac{11}{2}=\pm\frac{13}{2}$

Subtracting both sides by $\frac{11}{2}$ :

$c+\frac{11}{2}-\frac{11}{2}=\pm\frac{13}{2}-\frac{11}{2}$

$c=\pm\frac{13}{2}-\frac{11}{2}$

So, we have:

$c=\frac{13}{2}-\frac{11}{2}$ and $c=-\frac{13}{2}-\frac{11}{2}$

$c=\frac{2}{2}$ and $c=\frac{-24}{2}$

$c=1$ and $c=-12$ (Answer)

6 0

4 years ago

Rewrite 7 1/8 as an improper fraction.

Nimfa-mama [501]

It is 57/8 ! You should use this math calculater! it's called calculater soup!

5 0

4 years ago

Determine the marginal distribution of Gender. In paragraph form, how you calculated the marginal distribution. Include your cal

Furkat [3]

The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.

In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be

$\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}$

where G is a random variable taking on one of two values (male or female).

6 0

2 years ago

A solid right circular cone of diameter 14cm and height 8cm is melted to form a hollow sphere. If the external diameter of the s

pshichka [43]

Answer:

Step-by-step explanation:

Diameter of cone=14 cm

so, Radius of cone= 7cm

Height of cone= 8cm

∴ Volume of cone= 1/3*pi*r^2*h

=1/3*pi*49*8 cm^3

In Sphere, External Radius R=5cm

Let, Internal Radius = r

Volume of Sphere = External Volume- Internal Volume

= 4/3*pi*R^3-4/3*pi*r^3

=4/3*pi[R^3-r^3]

=4/3*pi[5^3-r^3]

But During Conversion Volume Remains Same

So, Volume of Sphere=Volume of Cone

4/3*pi[125-r^3]= 1/3*pi*49*8

4[125-r^3]=49*8

[125-r^3]=49*2

r^3=125-98

r^3=27

so, r =3 cm

Internal Radius= 3cm

So, Internal Diameter=3*2= 6cm

PLS MARK BRAINLIEST

5 0

3 years ago