what is the first shape

Answers

Answer 1

Answer:

The first type of solid shapes to be discovered are known as Platonic solids, which include the cube, the tetrahedron, the octahedron, the dodecahedron, and the icosahedron


Related Questions

Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.) (-5, 10) and (5, -10) a. y = 2x-10 b. C. d. y = 2x y = -2x+ 20 y=-2x A​

Answers

Answer:

y = -2x

Step-by-step explanation:

It passes through -5, 10 and 5, -10

gradient = Δy/Δx

gradient = -10 - 10 / 5 -- 5

gradient = -20 / 10

gradient = -2

let's use -5, 10 for y = mx + b

10 = -2(-5) + b

10 = 10 + b

b = 10 - 10

b = 0.

the equation of the line is just y = -2x

Help solve and get 20 pts! (Math)

Answers

Since this is a quadratic function, we will be using a polynomial with a degree of 2.

The parent function of the quadratic function is x^2. Using this function for refrence, we see that there are some changed.

First, the function was shifted 2 units to the left, so we rewrite this as (x+2)^2, we also see that the function was also shifted 5 units up so we write, ((x+2)^2)+5, and finally, we see the function was flipped vertically, so we make this a negative,
(-(x+2)^2)+5.

Now, let's confirm this is the answer by plugging in the given coordinates!

5 = (-((-2)+2)^2)+5, ((0)^2)+5, 5.
1 = (-((-4)+2)^2)+5, ((-2)^2)+5, -4+5, 1.

Simplify this expression:

12a−8−5a+12

Answers

12a - 8 -5a + 12

arranging like terms

12a - 5a - 8 + 12

a ( 12-5) - 8 - 12

a(7) - 4(2 - 3)

a(7) -4(-1)

a(7) + 4

7a + 4

simplifing the expressions

Answer:

12a-5a-8+12

=(12-5)a+4

=7a+4

line / is parallel to line m. the slope of line / is 4/9. what is the slope of line m?

Answers

Answer: 4/9

Step-by-step explanation:

Parallel lines have equivalent slopes.

As line 'l' and line 'm' are parallel to each other ,then the slope of line 'm' is also 4/9.

Parallel lines have the same slope. The slope of line segments is identical because they are all similarly inclined with respect to the positive x-axis. If 'l', and 'm' are the slopes of two parallel lines,

then l = m

Slope-intercept notation for lines may be expressed as y=mx+b.

In this notation, b denotes the location of the line's y-axis intercept, and slope(m) indicates the slope of the line.

The slope of 'l'=4/9

The slope of the two parallel lines is the same.

Therefore, the slope of the parallel line "m" = 4/9.

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Solve for B -9/3+ B equals -1

Answers

Answer:

-2

Step-by-step explanation:

-9/3=-3

-3+b=-1

b=-1+3

b=-2

Question 3(Multiple Choice Worth 4 points)
Which expression is equivalent to 73.7-57
0 72
0 77
17

Answers

Answer: [tex]\frac{1}{7^{2}}[/tex]

Step-by-step explanation:

Using the exponent rule [tex]a^{b} \cdot a^{c}=a^{b+c}[/tex], we get that

[tex]7^{3} \cdot 7^{-5}=7^{-2}[/tex]

Then, using the exponent rule [tex]a^{-b}=\frac{1}{a^b}[/tex], we get that

[tex]7^{-2}=\boxed{\frac{1}{7^{2}}}[/tex]

Fireside Shop offers chimney caps for $120 less trade discounts of 25/10. The same chimney cap is being offered at Builder's Supply for $111 less trade discounts of 25/5. What is the price difference between the two companies?

Answers

The difference in price between the two companies is $81-$79.56 = $1.44

Fire side Shop

Price of Chimney cap =$120

First Discount = 25% of(120)=$30

Price after 1st Discount = $120-$30=$90

Second Discount = 10% of 90=$9

Price after 2nd Discount = $90-$9=$81

Builders' Supply

Price of Chimney Cap= $111

First Discount= 25% of 111 = $27.75

Price after 1st Discount = $111 - $27.75 = $83.75

Second Discount = 5% of $83.75 = $ 4.1875

Price after 2nd Discount = $83.75 - $4.1875 = $79.5625 ≈ $79.56

Therefore,

a) Builders supply offers the lower price.

b) Difference in price = $81-$79.56 = $1.44

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What is the distance between the two end points in the graph below

Answers

Step-by-step explanation:

10 that's what my teacher told me

help Which statement describes the pattern shown?
*
1 point
Captionless Image
A. Each figure has 3 fewer squares than the one before it.
B. Each figure has 6 fewer squares than the one before it.
C. Each figure has 3 more squares than the one before it.
D. Each figure has 6 more squares than the one before it.

Answers

A pattern is a recurring arrangement of numbers, forms, colours, and so on.

What is a pattern?

In mathematics, a pattern is a recurring arrangement of numbers, forms, colours, and so on. The Pattern may be applied to any form of event or object. A pattern is defined as a group of integers that are connected to each other in a specified way.

As per the pattern, Each figure has 3 more squares than the one before it.

Hence, the correct option is C.

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Helppppp meeeee pleaseeee?

Answers

Answer:

D

Step-by-step explanation:

A. The domain is not all real numbers since the domain of the inverse is the range of the square root function which is not all real numbers.

B and C. The domain is not x >= -4, that's the range since the domain and range are swapped relative to the original square root function which had a domain x >= 4 and a range x >= 0

D. This is true since the range of the square root function is x >= 0 which is now the range of the inverse.

Need help with Math (Quadratic)

Answers

Answer:

  f(x) = 2(x -3)² +5   or   f(x) = 2x² -12x +23

Step-by-step explanation:

The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.

__

vertex form

The vertex form equation for a parabola is ...

  f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'

equation

For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...

  f(x) = 2(x -3)² +5 . . . . . vertex form equation

Expanded to standard form, this is ...

  f(x) = 2(x² -6x +9) +5

  f(x) = 2x² -12x +23 . . . . . standard form equation

only 2/3 of the school districts kindergarten teachers are women. if 59 are men, how many kindergarten teachers in all are employed by the school district​

Answers

Answer:

177

Step-by-step explanation:

2/3 are women.

that means the remainder, 1/3, are men.

59 = 1/3 of all kindergarten teachers (3/3 = 1 representing the "whole").

so,

59×3 = 177

is the number of all kindergarten teachers employed by the school district.

A linear function on a coordinate plane passes through (minus 2, 3), (minus 1, 0), (0, minus 3), and (1, minus 6)
Which equation describes the line graphed above?

A.


B.


C.


D.

Answers

The equation of line is y = 3x + 3 that passes throgh the provided points option (C) y = 3x + 3 is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The options are missing.

The options are:

A) y = 3x - 3

B) y = -3x + 3

C) y = 3x + 3

D) y = -3x - 3

From the points [tex]\left(-2,3\right)[/tex] and [tex]\left(-1,0\right)[/tex]:

[tex]\rm y\ =\ \dfrac{3}{-1+2}\left(x+1\right)[/tex]

y = 3(x + 1)

y = 3x + 3

Thus, the equation of line is y = 3x + 3 that passes throgh the provided points option (C) y = 3x + 3 is correct.

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Write the mathematical expression for cost of each item if y items cost a
total of $25.00.

Answers

If each item is $25, it would be 25y

Rob bought a pair of jeans at 30% off the original price. If the original price was $55, how much did he pay for the jeans?​

Answers

Answer:

$38.50

Step-by-step explanation:

(100-30)% of $55

= 70% of $55

= $38.50

Hope this helps :)

A group of students at Brunel university took a test in marketing and they needed to score 50 to pass. The results showed that the final grades have a mean of 62 and a standard deviation of 8. Suppose we approximate the distribution of these grades by normal distribution. Based on this information, you are required to perform the following; a) what percetage(to 3 decimals) of the students scored more than 78? B) what percentage of the students to 3 decimal places scored under 50? And c) what percentage to 3 decimal places of the students scored between 60 and 80?

Answers

Answer:

My answer: 15.87%

Step-by-step explanation:

The Final grades follows normal distribution.

It means =70

The Given standard deviation =10

The normal random variable of a standard normal distribution is called a standard score or a z-score. In Every normal condition, random variable X will be transformed into a z score via the following equation:

z=(X)

But when X is a normal random variable, μ is the mean of X.

For That, it is X=60

Z=(60−70)/10=−1

P(X<60)=P(Z<−1)

=0.1587

Hence percent of students failed in test is 15.87%

Which statement is true of the function f(x) = Negative RootIndex 3 StartRoot x EndRoot? Select three options.

The function is always increasing.
The function has a domain of all real numbers.
The function has a range of {y|–Infinity < y < Infinity}.
The function is a reflection of y = .
The function passes through the point (3, –27).

Answers

the correct options are:

The function has a domain of all real numbers.The function has a range of {y|–Infinity < y < Infinity} (this is the same as saying that the range is the set of all real numbers.

Which statements are true about the function?

Here we have the function:

[tex]F(x) = -\sqrt[3]{x}[/tex]

First, this is a cubic root, so its domain is the set of all real numbers (same for the range). And we know that the cubic root is an increasing function, so if we put a negative sign before it, we will have a decreasing function.

Then the correct options are:

The function has a domain of all real numbers.The function has a range of {y|–Infinity < y < Infinity} (this is the same as saying that the range is the set of all real numbers.

The fourth option is incomplete, so we can't conclude if it is true or not, it would be true if it said:

"The function is a reflection over the x-axis of y = ∛x"

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Answer:

b, c, d

Step-by-step explanation:

"If a = − 8, b = − 7, c = 6, verify that (a+b) + c = a + (b+c)."

Answers

Answer:

The commutative property of addition says that changing the order of addends does not change the sum.

(a+b)+c = a+ (b+c)

( -8 + -7) + 6 = -8 + ( -7 + 6)

-15 + 6          =   -8 + -1

-9                  =  -9

Answer:

Hence, proved (a+b) + c = a + (b+c)."

Step-by-step explanation:

first take left hand side and insert the values of a, b, and c and similarly than take right hand side.

L.H.S

(a+b)+c

(-8+(-7))+6

(-8-7)+6

-15+6

-9

R.H.S

a+(b+c)

-8+(-7+6)

-8+(-1)

-8-1

-9

hence, proved (a+b) + c = a + (b+c)."

Which equations are true for x = -2 and x = 2? Select two options
Ox²-4 = 0
0x²= -4
3x² + 12 = 0
14x² = 16
2(x-2)² = 0

Answers

Answer:

x2-4 = 0

x2= 4

x = 2 or x = (-2)

The equations that are true for x = -2 and x = 2 are:

x² - 4 = 0

2(x - 2)² = 0

Options A and D are the correct answer.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

The values given for x are -2 and 2.

Therefore, we can substitute each value of x into the given equations to determine which are true for those values.

x² - 4 = 0

When x = -2, we have (-2)² - 4 = 0, which is true.

When x = 2, we have (2)² - 4 = 0, which is also true.

x² = -4

When x = -2, we have (-2)² = 4 which is not equal to -4, so this equation is false for x = -2.

When x = 2, we have (2)² = 4 which is not equal to -4, so this equation is false for x = 2.

3x² + 12 = 0

When x = -2, we have 3(-2)² + 12 = 0, which is false.

When x = 2, we have 3(2)² + 12 = 24, which is not equal to 0.

Therefore, this equation is false for x = 2.

14x² = 16

When x = -2, we have 14(-2)² = 56, which is not equal to 16.

Therefore, this equation is false for x = -2.

When x = 2, we have 14(2)² = 56, which is also not equal to 16.

Therefore, this equation is false for x = 2.

2(x-2)² = 0

When x = -2, we have 2(-2-2)² = 0, which is not equal to 0.

Therefore, this equation is false for x = -2.

When x = 2, we have 2(2-2)² = 0, which is equal to 0.

Therefore, this equation is true for x = 2.

Therefore,

The equations that are true for x = -2 and x = 2 are:

x² - 4 = 0

2(x-2)² = 0

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Estimate the solution to the following system of equations by graphing.
9x + 8y=26
3x + 2y=9

Answers

Solution of 9x+8y=26 and 3x+2y=9 are given by (C)  [tex]\mathbf{x=\frac{10}{3},y=-\frac{1}{2}}[/tex].

We have to plot the graphs of the given two lines or curves, then we have to find the intersection point(s) of the curves or lines. That point is the solution for the system of the equations.

Given equations are,

9x+8y=26 .................(1)

3x+2y=9 ...................(2)

Now multiplying 3 with (2) and then subtracting (1) from that we get,

3(3x+2y)-(9x+8y)=3(9)-26

9x+6y-9x-8y=27-26

-2y=1

y=-1/2, on dividing both sides by -2

Substituting the value of y in (1) we get,

9x+8(-1/2)=26

9x-4=26

9x=26+4

9x=30

x=30/9=10/3

Also if we draw the graphs of the given equations by using graphing calculator we get,

Here in the graph we can see that the lines represented by the given equations intersects each other at point [tex]\left(\frac{10}{3},-\frac{1}{2}\right)[/tex].

Hence the solution is [tex]x=\frac{10}{3},y=-\frac{1}{2}[/tex].

Thus the correct option is (C).

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juan tiene 400 y rosa 350. ambos se compran

Answers

Juan has 400 and pink 350. Both are bought ….

lim(lnx-ln4/x-4) as x approaches 4​

Answers

Answer:

1/4 = 0.25

Step-by-step explanation:

I assume you mean

lim((ln(x) - ln(4)) / (x - 4))

ln(x) - ln(4) = ln(x/4)

rule of l'hopital

lim f(x)/g(x) = lim f'(x)/g'(x)

if g'(x) <> 0

f(x) = ln(x/4)

g(x) = x - 4

ln(x)' = 1/x

ln(x/4)' = 1/x/4 × 1/4 = 1/x

(x - 4)' = 1

so,

lim f'(x)/g'(x) = 1/x / 1 = 1/x

which is for x approaching 4 : 1/4 = 0.25

Two fire trucks on the ground on either side of a burning building or 1.3 miles apart. they each measure the angle of elevation to the fire which are 58° and 52°. How far is each truck from the fire? Please help ASAP thank you so much!

Answers

The distance of the first truck from the fire is 0.578 mile and the distance of the second truck from fire is 0.722 mile.

Distance of each truck from the fire

Using sine rule, we find the length of AB and BC as shown in the image.

a/sin A = b/sin B = c/sin C

Angle C = 180 - (58 + 52) = 70⁰

1.3/(sin 70) = b/(sin 52)

b = (1.3sin 52) / (sin 70)

b = 1.09 mile

c = (1.3sin 58) / (sin 70)

c = 1.1732 miles

Bisect angle C, and use sine rule again to find the lengths of bisected line AB.

1.09/(sin 90) = x/[sin (90 - 58)]

1.09/(sin 90) = x/(sin 32)

x = (1.09 sin 32)/(sin 90)

x = 0.578 mile

Truck B's position from the fire = 1.3 miles - 0.578 mile = 0.722 mile

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Tom exercise a total of 150 minutes in two days he exercise 20 minutes less on the first day then on the second day how many minutes did he exercise each day?

Answers

Answer:

60 on the first day and 80 on the second

Step-by-step explanation:

the first day was lesser than the second day by 20 minutes.

so the second day was more than the first day by 20 minutes.

Answer 65 and 85 minutes
Reason
We know he exercised for 2 days
We know the second day was -20
We know the total minutes = 150
We don’t know x

Equation is 2x -20 = 150. Solve for x
Isolate x by subtracting (-20) from both sides.
2x = 170. Solve for x by dividing both sides by 2.
X= 85
Now we know the first day was (-20)
85-20= 65

Answer 85 + 65 = 150

This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!

Answers

Answer: A

Step-by-step explanation:

We can rewrite [tex]8^x[/tex] as follows:

[tex]8^{x}=\left(8^{9} \right)^{x/9}=\left(\frac{1}{8^{9}} \right)^{-x/9}[/tex]

Hence, [tex]A=\frac{1}{8^{9}}=\boxed{8^{-9}}[/tex]

consider the quadratic function f(x)= x^2 -8x-4 what is the value of the leading coefficient

Answers

The leading coefficient of the quadratic equation f(x)= x² – 8x – 4 will be 1.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

Then we have the quadratic equation given below.

f(x)= x² – 8x – 4

f(x)= x² – 8x + 16 – 16 – 4

f(x)= (x – 4)² – 20

Then the leading coefficient will be 1.

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A rectangular aquarium is 1m 20cm long, 90cm wide and 50cm deep. How many cubic centimeters of water can it hold

Answers

Answer:

540,000 cubic centimeters

Step-by-step explanation:

1 meter and 20 centimeters is equal to 120 centimeters.

[tex]120 \times 90 \times 50 = 540000[/tex]

What is the value of x?

Answers

The value of x in the segment is 3

How to determine the value of x?

Using the secant and segment theorem, we have:

x * (x + 21) = (x + 1) * (x + 1 + 14)

Evaluate the sum

x * (x + 21) = (x + 1) * (x + 15)

Expand

x^2 + 21x = x^2 + 15x + x + 15

Subtract x^2 from both sides

21x = 15x + x + 15

Evaluate the like terms

5x = 15

Divide both sides by 5

x = 3

Hence, the value of x is 3

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The solution set to 6 + 2n > 12 is n > 3. Which are correct representations of this solution? Select two options.

{n | n < 3}
{n | n ≥ 3}
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5.
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5.
(3, ∞)

Answers

The correct representations of this solution is {n | n > 3} an open circle appears at positive 3.

Solution to  inequality expression

Inequalities are expressions not separated by an equal sign. Given the inequality

6 + 2n > 12

Subtract 6 from both sides

2n > 12 - 6

2n >6

Divide both sides by 2

2n/2 >6/2

n >3

Hence the correct representations of this solution is {n | n > 3} an open circle appears at positive 3.

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Lily pads increase by 25% every 10 days.lf a pond starts with 22 lily pads,how many will there be after 50 days?

Answers

We conclude that after 50 days, there will be 67 lily pads.

how many will there be after 50 days?

We know that the number increases by 25% every 10 days.

In 50 days we have 5 groups of 10 days, so there will be five increases of 25%.

We know that the initial number is 22 lily pads, if we apply five consecutive increases of the 25% we get:

N = 22*(1 + 25%/100)*...*(1 + 25%/100%)

( the factor (1 + 25%/100%) appears five times)

So we can rewrite:

N = 22*(1 + 25%/100%)⁵

N = 22*(1 + 0.25)⁵ = 67.1

Which can be rounded to the nearest whole number, which is 67.

So we conclude that after 50 days, there will be 67 lily pads.

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