What is the equation for 5 more than 3 times a number is 0

17. Santino loves to rock different colored polo shirts every day. He recently wore the following colors:

qaws [65]

Answer:

The mode for the colors that Santino wore recently is Blue.

Step-by-step explanation:

The mode of a data set is the term or observation that presents most of the time.

The frequency table of different colored polo shirts worn by Santino is:

Color Frequency

Yellow 2

Blue 3

Green 1

Pink 1

Brown 1

Orange 1

Chartreuse 1

Black 1

Puce 1

The color Blue has the highest frequency, i.e. 3.

So, the mode for the colors that Santino wore recently is Blue.

3 0

3 years ago

Which best describes the relationship between the two triangles below?

Nostrana [21]

Answer:

They are SIMILAR triangles

Step-by-step explanation:

Given triangles MNL and FHG with two of their angles to be 51° and 36° respectively. Their third angle is expressed as:

180°-(51°+36°)

= 180°-87°

= 93°

Their third angle is 93°

Since both triangles have the same angles in them, both triangles are considered as similar triangle even though the value of their sides are different due to angle differences in both.

Note that individual triangles are scalene triangles since their angles are not the same but the both triangles are similar triangles based on their relationship.

3 0

4 years ago

a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and

fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

$x(t) = -4.9t^{2} + 9.8t$

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format $x(t) = at^{2} + bt + c$

The vertex is the point $(t_{v}, x(t_{v}))$ , in which

$t_{v} = -\frac{b}{2a}$

In this question:

$x(t) = -4.9t^{2} + 9.8t$

So $a = -4.9, b = 9.8$

Vertex:

$t_{v} = -\frac{9.8}{2*(-4.9)} = 1$

The time taken for the upward motion is 1 second.

$x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9$

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

$-4.9t^{2} + 9.8t = 0$

$4.9t^{2} - 9.8t = 0$

$4.9t(t - 2) = 0$

$4.9t = 0$

$t = 0$

Or

$t - 2 = 0$

$t = 2$

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0

3 years ago

A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will

Scorpion4ik [409]

Due to the common probability formula I can solve that task. Refering to the task you gave, we have all the information we need. We solve it like that: $\frac{10-12}{0.8} = -2.5; Probability(-2.5)=.0.00621; Probability = 0.621%$
So the answer is the first option <span>0.621%</span>

5 0

3 years ago

Read 2 more answers

What value of x satisfies the equation 7x+1=2.4 ?

yuradex [85]

5.6 because 7=1=8 so 8-2.4=5.6

hope this helped please leave a thank you

3 0

3 years ago

Read 2 more answers