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3 years ago

If you double 4 and if you double 1/2 then add 1, add 8 +1

Mathematics

1 answer:

Anna35 [415]3 years ago

6 0

Answer:

19?

Step-by-step explanation:

double of 4 is 8, double of 1/2 is 1 and adding them all together is 19

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If f(n) = -6n + 2, find f (5/6)

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$f( \frac{5}{6} ) = - 6( \frac{5}{6} ) + 2 \\ f( \frac{5}{6} ) = - \frac{30}{6} + 2 \\ f( \frac{5}{6} ) = - 5 + 2 \\ f( \frac{5}{6} ) = - 3$

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3 years ago

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If two lines are cut by a transversal, the corresponding angles are equal in measure always, sometimes, never

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I would choose... sometimes

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3 years ago

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The world's tallest building is the Burj Khalifa in Dubai at 828 m tall. The CN Tower in Toronto is 553 m tall. Ryan wants to co

Taya2010 [7]

Answer:

Volume of Burj Khalifa Prism = 4000 $cm^2$

Volume of CN Tower Prism = 2671 $cm^2$

Step-by-step explanation:

Given

Height of Burj Khalifa = 828 m

Height of CN Tower in Toronto = 553 m

Base of rectangular prism is a square with sides 10 cm $\times$ 10 cm.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

$\Rightarrow 553 m$ is represented as $\frac{40}{828 } \times 553 = 26.71\ cm$

So, height of rectangular prism of CN Tower = 26.71 cm

Volume of a Prism is given by the Formula:

$V=Area\ of\ Base \times Height$

Base is a square, so Area of base = $Side^2$

Volume of Burj Khalifa Prism:

$V_B=10^2 \times 40 = 4000\ cm^2$

Volume of CN Tower Prism:

$V_C=10^2 \times 26.71 = 2671\ cm^2$

So, the answer is:

Volume of Burj Khalifa Prism = 4000 $cm^2$

Volume of CN Tower Prism = 2671 $cm^2$

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3 years ago

Which of the following lists contains only even numbers?

IceJOKER [234]

Answer:

Step-by-step explanation:

An even number is a number divisible by 2 and be an integer. An example would be 4/2 = 2

An incorrect even number would be 5

5/2 = 2.5 which isn't odd or even because it isn't an integer.

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3 years ago

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The function h(x) = x2 + 14x + 41 represents a parabola.

defon

Part A:

$h(x)= x^{2} +14x+41$

The first step of completing the square is writing the expression $x^{2} +14x$ as $(x+7)^{2}$ which expands to $x^{2} +14x+49$ .

We have the first two terms exactly the same with the function we start with: $x^{2}$ and $14x$ but we need to add/subtract from the last term, 49, to obtain 41.

So the second step is to subtract -8 from the expression $x^{2} +14x+49$

The function in completing the square form is
$h(x)= (x+7)^{2}-8$

Part B:

The vertex is obtained by equating the expression in the bracket from part A to zero

$x+7=0$
$x=-7$

It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape.
A quadratic function $a x^{2} +bx+c$ can either make U-shape or ∩-shape depends on the value of the constant $a$ that goes with $x^{2}$ . When $a$ is (+), the curve is U-shape. When $a$ (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will pass through the vertex, hence the symmetry line is $x=-7$

This function is shown in the diagram below

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4 years ago

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