Which is the other endpoint of a line segment with one endpoint at (1, 3) and midpoint at (3,5)?
A. (2,4)
B. (4,4)
C. (5,7)
D. (4,8)
E. (8.16)

Answer:

Step-by-step explanation:

There will be a +1 becuase the lines y intercept is +1.

We can then take two points on the line and then find the slope through them.

(0,1) and (4,2). 4-0 and 2-1.

4 and 1. The slope is 1/4.

y = mx + b

y = 1/4x + 1

Answer:

124

Step-by-step explanation:

350 times 35.5% = 124.25 and obviously .25 of a person cant go to a movie so you round down to 124.

SOH CAH TOA

Opposite is 7

Y is the hypotenuse - longest side

So, x is the adjacent

Find y first, we've got opposite & hypotenuse

=> SOH or Sin

Sin(30) = o/h

Sin(30) = 7/h

x h

h x sin(30) = 7

÷ Sin(30)

H = 14

Pythagoras' Theorem: a^2 + b^2 = c^2

(which I've already rearranged, to find value of x)

Square root of 14^2 - 7^2 = 7 root 3.

Thus, the missing lengths should be 14 and 7 root 3.

The answer is:

y = 14

x = 7 root 3

(root => a square root)

Hope this helps!

Answer:

42.5 or 43

Step-by-step explanation:

Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.

Hope this helped somewhat! ;(

Answer:

[tex]\huge\boxed{\sf 58\ m\²}[/tex]

Step-by-step explanation:

The figure is made up of two rectangles.

Area of the larger rectangle:

Length = 5 m

Width = 10 m

= Length × Width

= 5 × 10

= 50 m²

Area of smaller rectangle:

Length = 4 m

Width = 2 m

= Length × Width

= 4 × 2

= 8 m²

Area of the figure:

= Area of larger rectangle + Area of smaller rectangle

= 50 + 8

= 58 m²

[tex]\rule[225]{225}{2}[/tex]

Answer:

x<3

Step-by-step explanation:

The answer is x<3.

If the point were filled it would be one of these for example ≥

Answer: 37.5%

Step-by-step explanation:

Using the normal probability distribution and the central limit theorem, it is found that the probabilities are given by:

a) 0.0119 = 1.19%.

b) 0.121 = 12.1%.

c) 0.9257 = 92.57%.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The probability is the p-value of Z when X = 42600, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{42600 - 45000}{1060}[/tex]

[tex]Z = -2.26[/tex]

[tex]Z = -2.26[/tex] has a p-value of 0.0119.

The probability is of 0.0119 = 1.19%.

Item b:

The probability is the 1 subtracted by the p-value of Z when X = 46240, hence:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{46240 - 45000}{1060}[/tex]

[tex]Z = 1.17[/tex]

[tex]Z = 1.17[/tex] has a p-value of 0.879.

1 - 0.879 = 0.121.

The probability is of 0.121 = 12.1%.

Item c:

The probability is the p-value of Z when X = 46980 subtracted by the p-value of Z when X = 43190, hence:

X = 46980:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{46980 - 45000}{1060}[/tex]

[tex]Z = 1.87[/tex]

[tex]Z = 1.87[/tex] has a p-value of 0.9693.

X = 43190:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{43190 - 45000}{1060}[/tex]

[tex]Z = -1.71[/tex]

[tex]Z = -1.71[/tex] has a p-value of 0.0436.

0.9693 - 0.0436 = 0.9257.

The probability is of 0.9257 = 92.57%.

To learn more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

So basically what you have to is divide the log as you see the word quotient, therefore you need to take log^6 30 and divide 30 by 5 which will give you 6 right. Do you understanding so far? Moreover, you see log^6 2 so 15x2=30 it just basically itself breaking down.

Answer: Coach Lopez wants to divide his soccer team into a smaller, equal-sized group of players for practice. He noticed that he divided his team evenly into groups of 3.

Coach Lopez can form smaller equal-sized groups because the number of students on his team is a prime number.

This means that the number of players on the team has three factors.

Coach Lopez could possibly have 12 players on his team.

Answer:

600,000

Step-by-step explanation:

Your answer would be 600,000 because in the hundred thousands place there is a 6.

And that 6 in the hundred thousands place is asking the ten thousands place for help also the digit in the ten thousands place is a 1.

So if you know the rule the 6 can't round up because the 1 is below 4./the rule is 4 and below keep it low 5 or more give it one more.

Ok so the 1 is below 4 and can't bring 6 up so 6 has to stay in it's lane at 600,000

Hope this helps have a great afternoon:)

Answer:

Its 600000

Step-by-step explanation:

Hundred thousand refers to 6 numbers so we look at the number after 6 and its less than 5 so we round it back to 0

Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.

What is the time?

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

Here given that,

Two toy cars race around a circular track (both go in the same direction). One car can travel around the track in [tex]30[/tex] seconds. The other car travels around the track in [tex]50[/tex] seconds.

Case 1 :-

Track length every [tex]30[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{30}[/tex] of the track.

Case 2:-

Track length every [tex]50[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{50}[/tex] of the track.

Combining case 1 and case 2, we get

[tex]\frac{x}{30}=\frac{x}{50}+1\\\\\\frac{x}{30}-\frac{x}{50}=1\\\\\\frac{50x-30x}{1500}=1\\\\20x=1500\\\\x=\frac{1500}{20}\\\\x=75seconds[/tex]

Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.

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Step-by-step explanation:

Let the triangles be ADC and BEC.

Point D has coordinates of (0, 154), point E has coordinates of (0, 110).

ΔADC

The slope of AC

ΔBEC

The slope of BC

As we can see the slopes are equal

The y-intercept or initial value is represented by the point C and has coordinates of (0, 66)

The line is:

The initial value is the depth of 66 m where the shark is.

The slope is the 44 m increase of the depth every minute.

Answer:

  (d)  y = 3x² +2x -6

Step-by-step explanation:

The equation of a parabola through thee points can be found different ways. One is to use a quadratic regression tool. Another is to write and solve linear equations in the coefficients. (3 equations in 3 unknowns).

__

Here, we can eliminate answer choices that don't work to arrive at the correct answer choice.

The point (0, -6) is the y-intercept of the function. That means the value of the constant term in the quadratic is -6. (Eliminates A and C.)

The y-values of the other two points are both greater than -6, indicating the parabola opens upward. That means the leading coefficient is positive. (Eliminates B.)

The only reasonable choice is D:

  y = 3x² +2x -6

__

Additional comment

You get the same answer if you use a regression tool.

Answer:

[tex]y = 3\, x^{2} + 2\, x - 6[/tex].

Step-by-step explanation:

In general, the equation of a parabola is in the form [tex]y = a\, x^{2} + b\, x + c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], where [tex]a \ne 0[/tex].

Let [tex]y = a\, x^{2} + b\, x + c\![/tex] denote the equation of this parabola for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] where [tex]a \ne 0[/tex]. A point [tex](x_{0},\, y_{0})[/tex] is on this parabola if and only if the equation of this parabola holds after substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex]:

[tex]y_{0} = a\, {x_{0}}^{2} + b\, x_{0} + c[/tex].

Thus, each of the three distinct points on this parabola would give a equation about [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:

Simplify the equations:

[tex]\left\lbrace\begin{aligned}& 9\, a - 3\, b + c = 15 \\ & c = 6 \\ & 4\, a + 2\, b + c = 10\end{aligned}\right.[/tex].

Solve this linear system of three equations and three unknowns for [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:

[tex]\left\lbrace \begin{aligned} & a = 3 \\ & b = 2 \\ & c = (-6) \end{aligned}\right.[/tex].

Therefore, the equation of this parabola would be:

[tex]y = 3\, x^{2} + 2\, x - 6[/tex].

Answer:

y = x² + 8x + 16

Step-by-step explanation:

blue square = x × x = x²

green rectangle = 4 × x = 4x

yellow square = 4 × 4 = 16

Let y = total area of the square

⇒ y = blue square + green rectangle + green rectangle + yellow square

       = x² + 4x + 4x + 16

       = x² + 8x + 16

Area:-

Answer:

3/8 & 4/8

Step-by-step explanation:

1/2 - 1/8 = 4/8 - 1/8 = 3/8

x - 1/8 = 3/8

x = 4/8    

Answer:

(B) 10

Step-by-step explanation:

x = 15

y = 3

---------------------------------

9(5) - x / y =

The value of the given expression [tex]\dfrac{9(5)-x}{y}[/tex] is 10 when x = 15 and y = 3. So, the correct answer is (b) 10.

An expression is a combination of numbers, variables, mathematical operations, and many more.

To obtain the value of the given expression, the values of x and y will be inserted in the expression and the concepts of PEMDAS will be used.

Let's assume that the given expression is as follows:

[tex]z = \dfrac{9(5)-x}{y}[/tex]

Substitute x = 15 and y = 3 in the given expression:

[tex]z = \dfrac{9(5)-x}{y}\\z = \dfrac{9(5)-15}{3}\\z = \dfrac{45-15}{3}\\z = \dfrac{30}{3}\\z = 10[/tex]

Therefore, option (d) is correct, i.e., for x = 15 and y = 3, the value of the given expression is 10.

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Answer:

BFG

Step-by-step explanation:

The segment BF is the diagonal of the top face of the cube (GBCF)

Therefore, it is the hypotenuse of ΔBFG and ΔBFC

See attached diagram for visual of the cube.

Answer:

First, you find the volume of each box

Volume = Length * Width * Height

Box A

V = 13 * 40 * 5

V = 2600 cm^3

Box B

V = 8 * 10 * 25

V = 2000 cm ^3

Box C

V = 11 * 20 * 30

V = 6600 cm ^3

Since 7400, the cubes trying to be packed, is bigger than any of the volumes of the boxes, 2 boxes must be used

The boxes with volumes that add up to a number greater than 7400 are Box C with Box A or B (either works, as long as C is one of them)

The total volume of the boxes together can be found with simple addition

2600 + 2000 + 6600 = 11200 cm ^3

Answer: A local swiming

The answer is 40cm in cube 3

Considerando la definición de número complejo, su opuesto, conjugado y afijo, siendo z= -2-2i, se obtiene:

Los números complejos son combinaciones de números reales y números imaginarios. Su representación más común es la suma de una parte real y una parte imaginaria. Al mismo tiempo, la parte imaginaria se divide entre la parte imaginaria y la unidad imaginaria.

Esto es: z= a +bi

donde:

Dado un número complejo z = a+bi, se llama opuesto de z al número -z = -a-bi.

Esto es, el opuesto de un número complejo se calcula cambiando el signo de la parte real y de la parte imaginaria.

Dado un número complejo z = a+bi, se llama conjugado de z al número z = a-bi.

Esto es, el conjugado de un número complejo se obtiene al cambiar el signo de la parte imaginaria.

Los números complejos se representan mediante vectores. Al extremo del vector se le llama afijo del complejo. Esto es, el afijo del número complejo z=a +bi es (a,b)

Considerando las correspondientes definiciones:

Aprende más sobre números complejos:

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Answer:

2.02

....

.....

.....

......

......

Answer:

y=−2x+5

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is

y=mx+b , where m is the slope and b is the y-intercept.

y=mx+b

Find the values of

m and b

using the form

y=mx+b.

m=−2b=5

The slope of the line is the value of m , and the y-intercept is the value of

b.

Slope: −2

y-intercept:

(0,5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

Slope:  −2

y-intercept:  (0,5)

X|Y

0 5

1  3

Step-by-step explanation:

The required graph of the equation y = -2x +5 has been shown.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
As the given equation y = -2x+5 represents a straight line,
in order to graph the line,
We must know, the two points on the line,
So,
Put x = 0 on the equation,
y = 5,

And put y = 0,
0 = -2x + 5
x = 2.5,

Now, locate the points (0, 5) and (2.5, 0) on the graph and draw the straight curve joining these two points will be the required graph of the equation,

Thus, the required graph of the equation y = -2x +5 has been shown.

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Answer:

•100 + 10 + (10 - 5)²=135

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Question

100 + 10 + (10 - 5)²

Answer:

Step by step explanation:

=100 + 10 + (10 - 5)²

=100 + 10 +5²

=100 + 10 + 25

=110 + 25

=135

I hope this helps