Will give 30 points to who answers!

Answer:

[tex]\sf -11+7\sqrt{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }[/tex]

Rewrite 32 as 16 · 2:

[tex]\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }[/tex]

Apply radical rule [tex]\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]

[tex]\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }[/tex]

As [tex]\sf \sqrt{16}=4[/tex]:

[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }[/tex]

Multiply by the conjugate:

[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }[/tex]

[tex]\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}[/tex]

[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}[/tex]

As [tex]\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2[/tex]:

[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}[/tex]

[tex]\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}[/tex]

[tex]\sf \implies \dfrac{11-7\sqrt{2}}{-1}[/tex]

[tex]\sf \implies -11+7\sqrt{2}[/tex]

Answer:

900+250-100=1050

Step-by-step explanation:

computer cost plus printer cost subtracting his current amount equals the total amount left he needs to pay for both of the appliances.

Answer:

9

Step-by-step explanation:

Lowest chart value = 0

Highest chart value = 9

Range: highest chart value - lowest chart value

Range: 9 - 0

Range: 9

Hope this helps!

Answer:

Chose Cosine

Step-by-step explanation:

This is because cos = adj/hyp

Hope this helps!!!

Answer:

tanC = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{36}{15}[/tex] = [tex]\frac{12}{5}[/tex]

The function P(x) = -65(x - 4)² + 1000 of Dairy queen is an illustration of quadratic functions

Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

The function is given as:

P(x) = -65(x - 4)² + 1000

At zero profit, P(x) = 0

So, we have:

-65(x - 4)² + 1000 = 0

From the graph of the function (see attachment), we have:

x = 0.078 and x = 7.922

Hence, the prices that give zero profit are 0.078 and 7.922

To maximize profit, Dairy Queen should their blizzards at a price that yields maximum profit

We have:

P(x) = -65(x - 4)² + 1000

A quadratic function is represented as:

P(x) = a(x - h)² + k

Where:

Vertex = (h,k)

So, we have:

h = 4 and k = 1000

Hence, Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000

Read more about quadratic functions at:

https://brainly.com/question/4820005

Answer:

Austria-Hungary was home to many different ethnic groups.

Step-by-step explanation:

hope it helps ;))

Answer:

10⁵ / 10³ = 10^(5-3)= 10²

while diving the power gets subtracted if they have same base

Answer:

Step-by-step explanation:

Log Rules

Givens

1/2 log (x)

log (x)^(1/2)

2 log(2y)

log(2y)^2

log(2^2y^2)

log(4y^2)

3 log(z)

log(z^3)

Solution

log(x)^(1/2) * log(z^3) / log(4 y^2)

Answer: log(x^1/2)*(z^3)/(4y^2)

Answer:

[tex]y=\frac{3}{2}x-8[/tex]

Step-by-step explanation:

We can use the definition of slope-intercept form to answer this:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

So all we do is stick in the numbers and we get:

[tex]y=\frac{3}{2}x - 8[/tex]

Answer:

The correct polynomial is F. Calculation errors combining h terms and distributing -1.

Step-by-step explanation:

[tex]( - 4h + 3)( {h}^{2} + 9h - 1)[/tex]

[tex] - 4 {h}^{3} - 36 {h}^{2} + 4h + 3 {h}^{2} + 27h - 3[/tex]

[tex] - 4 {h}^{3} - 33 {h}^{2} + 31h - 3[/tex]

Answer:

3 un wer

8 lnter

12 jin

Step-by-step explanation:

of the corret anwer

The area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

The given pattern consists of rhombus and trapezoids

The formula for calculating the area of rhombus is expressed as:

A = pq/2

Area of trapezoid = 0.5(a+b)h

Given the following

height  = 2in

a = 2in

b = 3in

Ara of rhombus = 1(4)/2 = 2 square inches

Area of the trapezoid = 0.5(2+3) * 2

Area of the trapezoid  = 5 square inches

Hence the area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

Learn more on area of rhombus and trapezoid here: https://brainly.com/question/2456096

Answer:

a=tir

a=7×3.14

a=21.98

area=21.98 square feet

Answer:

3) $12.50

Step-by-step explanation:

12.50(1) = 12.50
Hope this helps :)

he ran 10meters last weekend

Answer:

a,c,e.

Step-by-step explanation:

2x+3x+4(2) is 5x+8. C is also. 2(2x) is 4x. 2(4) is 8. Add x is 5x+8

Answer:

$12.80

Step-by-step explanation:

The cost to get 8 bottles of juice and 4 bags of chips will be:

= 8($.105) + 4($1.10)

= $8.40 + $4.40

= $12.80

The cost for x bottles of juice and y bags of chips will be:

= (1.05 × x) + (1.10 × y)

= 1.05x + 1.10y

Answer:

194,711

Step-by-step explanation:

1,000,000 - 805, 289 = 194,711

The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

The formula for radian measure to calculate the central angle is given as,

[tex]\theta=\dfrac{s}{r}[/tex]

Here, (r) is the radius of the circle and (θ) is the central angle.

In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,

[tex]\theta=\dfrac{21}{12}\\\theta=1.75[/tex]

Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.

Learn more about the radian measure formula here;

https://brainly.com/question/12939121

Answer:1.75 radians

Step-by-step explanation: edge

Answer:

13,62$

Step-by-step explanation:

The total hours Riley worked last week: 7.5*3= 22.5 (hours)

Riley's hourly rate of pay: 306.45/ 22.5= 13.62$

(.25x)+5 ≤10 or .25x ≤5 i believe both should work.

20 is how many toppings....

you need four quarters to make a dollar and honestly i just counted with my fingers even though i could have just multiplied 5 x 4

sorry for missing the inequality part at first.........

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=550e^{0.03\cdot 6}\implies A=550e^{0.18}\implies A\approx 658.47[/tex]

Answer:

5/72

Step-by-step explanation:

I am pretty sure its right

Answer:

$48.

Step-by-step explanation:

$480-$48

=$432

after the discount

Answer:

7.235 cm

Step-by-step explanation:

Pythagorean theory

A^2 + B^2 = C^2

A = 4.7

B = 5.5

4.7^2 + 5.5^2 = C^2

22.09 + 30.25 = C^2

√52.34 = √C^2

7.235 cm ≈ C

Answer:

I believe that the answer is 4

Answer:

1.) $408.15 | 2.) $8,039.06 | 3.) 807,837.24 | 4.) $1,163.19

Step-by-step explanation:

1.) You need to know the exponential growth and decay formula.

The formula: y=ab^x

**For no.1**

Your initial amount is 300 which is the a

You need to do 100%+8% which is 108%

-This needs to be in decimal form: 1.08

4 years is the number of times the interests shall go up

Now do the equation:

y=300(1.08)^4  --> Multiply everything but do exponents first!!

y= $408.146688

$408.15 - This is the answer for no.1 it shall be rounded

**For no.2**

Same thing as last:

y=1500(1.75)^3

y= $8,039.0625

$8,039.06

**For no.3**

y=900(1.12)^60

y= 807,837.24

This had to be approximate

**For no.4**

y=820(1.06)^6

y= 1,163.1856

$1,163.19

Answer:

7-720= -714

Step-by-step explanation:6x2=12 60x12=720 so thats the brackets then substract from seven to get the answer -714