What are the roots of the quadratic equation y=x^2 -10x +125?

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]

#a

Perimeter=Sum of sides

#b

Area:-

Answer:

Perimeter = 1436.3 m (nearest tenth)

Area = 94641.0 m² (nearest tenth)

Step-by-step explanation:

The perimeter is the sum of the lengths of all the sides.

[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]

What we know:

Lets first convert the mixed partial fraction --> improper fraction

       --> for easier calculation

After Conversion:

To find how many scoops of birdseed will Samantha put into the feeder we must:

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

Solve:

  [tex]Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4[/tex]

Thus the total number of scoops that Samantha will put into the bird feeder is 4

Answer: 4

Hope that helps!

Answer:

3 un wer

8 lnter

12 jin

Step-by-step explanation:

of the corret anwer

[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:

$48.

Step-by-step explanation:

$480-$48

=$432

after the discount

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:

[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:

B : 1.8 hours a day.

Step-by-step explanation:

For 5 days she practices for 4 hours.

Subtract the 4 hours by the combined 13 hours.

Divide the remainding 9 hours of video game time by the 5 days.

The inequality expression that accurately represents the phenomena described in the question is:
212– 1/500 e < 195 (Option A)

Inequalities can be used to represent many real-life problems. Inequalities are similar to equations.

The inequality above represents the situation in which the boiling point of the sea reduces as the altitude increases.

Learn more about inequalities at:

https://brainly.com/question/24372553

Answer:

d is equal to 3/6 or 1/2

Step-by-step explanation:

to solve this you need to convert 1/3 to have the demoninator of 6 by multiplying the top and bottom by a factor of 2 to get 2/6. then move 2/6 to the other side of thr equation by subtracting so 5/6 - 2/6 which is 3/6 or 1/2

Answer:

10⁵ / 10³ = 10^(5-3)= 10²

while diving the power gets subtracted if they have same base

Step-by-step explanation:

the volume is 4/3 × pi × r^3

4/3 × 3 × 4^3

the volume is 256 cm cubed.

the radius is 4 cm.

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

The correct answer would be- D: 1.601 x 10^9

Answer:

the answer is  D: 1.601 x 10^9

Step-by-step explanation:

Answer:

194,711

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

he ran 10meters last weekend

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

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:

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:

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:

Chose Cosine

Step-by-step explanation:

This is because cos = adj/hyp

Hope this helps!!!

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:

I believe that the answer is 4

Answer:

33 ounces.

Step-by-step explanation:

There are 16 ounces in a pound, so multiply 33/4 by 16, which gives you 132 ounces.  We can then divide this number by 4, 132/4, giving us 33 ounces of rice in each container.

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:

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]

Answer:

Austria-Hungary was home to many different ethnic groups.

Step-by-step explanation:

hope it helps ;))