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3 years ago

5

Write an inequality to represent: One-fourth of r subtracted from ten is greater than five A) 1 4 r - 10 > 5 B) 1 4 r - 10 &l

t; 5 C) 10 - 1 4 r > 5 D) 10 - 1 4 r < 5

2 answers:

Lubov Fominskaja [6]3 years ago

6 0

10- $\frac{r}{4}$ >5

krek1111 [17]3 years ago

3 0

Answer:

10-1/4r>5

Step-by-step explanation:

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Find the value of x to the nearest tenth <br><br> X= <br><br> PLS HELP

dalvyx [7]

Step-by-step explanation:

i dont no correct answe 8

8 0

3 years ago

(1-i)^2 find 4 th root

sergiy2304 [10]

By de Moivre's theorem,

$1 - i = \sqrt2\,e^{-i\pi/4} \implies (1-i)^2 = 2\,e^{-i\pi/2}$

$\implies \sqrt[4]{(1 - i)^2} = \sqrt[4]{2}\,e^{i(2\pi k-\pi/2)/4} = \sqrt[4]{2}\,e^{i(4k-1)\pi/8}$

where $k\in\{0,1,2,3\}$ . The fourth roots of $(1-i)^2$ are then

$k = 0 \implies \sqrt[4]{2}\,e^{-i\pi/8}$

$k = 1 \implies \sqrt[4]{2}\,e^{i3\pi/8}$

$k = 2 \implies \sqrt[4]{2}\,e^{i7\pi/8}$

$k = 3 \implies \sqrt[4]{2}\,e^{i11\pi/8}$

or more simply

$\boxed{\pm\sqrt[4]{2}\,e^{-i\pi/8} \text{ and } \pm\sqrt[4]{2}\,e^{i3\pi/8}}$

We can go on to put these in rectangular form. Recall

$\cos^2(x) = \dfrac{1 + \cos(2x)}2$

$\sin^2(x) = \dfrac{1 - \cos(2x)}2$

Then

$\cos\left(-\dfrac\pi8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac{1 + \cos\left(\frac\pi4\right)}2} = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}$

$\sin\left(-\dfrac\pi8\right) = -\sin\left(\dfrac\pi8\right) = -\sqrt{\dfrac{1 - \cos\left(\frac\pi4\right)}2} = -\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}$

$\cos\left(\dfrac{3\pi}8\right) = \sin\left(\dfrac\pi8\right) = \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}$

$\sin\left(\dfrac{3\pi}8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}$

and the roots are equivalently

$\boxed{\pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} - i\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right) \text{ and } \pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} + i \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right)}$

7 0

2 years ago

8. A pizza shop charges $7.00 for a cheese pizza and $1.50 per topping. The total charge for Megan's pizza was $11.50. Write and

alexandr1967 [171]

Answer:

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

Step-by-step explanation:

Let the number of topping be x.

Cost of 1 topping = $1.50

Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x

Cost of cheese pizza = $7.00

Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping

Total cost for cheese pizza for x topping = 7 + 1.5x

Given that The total charge for Megan's pizza was $11.50

thus,

7 + 1.5x = 11.50

1.5x = 11.50 - 7

1.5x = 4.5

x = 4.5/1.5 = 3

Thus, there were three toppings

______________________________________

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

8 0

3 years ago

Compare the functions

4vir4ik [10]

Answer:

whats the other function besides p

Step-by-step explanation:

5 0

3 years ago

The length of a pole in a picture is 4 inches. The scale of the picture was given to be 1 inch x 13 inches. What would be the ac

katovenus [111]

Answer:

52 inches

Step-by-step explanation:

4×13=52 inches

4 0

3 years ago