write an quadratic equation with the x-intercepts of (0,0) and (16,0)

Step-by-step explanation:

First, this is how I read it.

[tex]\log(x^{125})=-3[/tex]

Next, this is how logarithms work:

[tex]b^y=x\implies \log_b(x)=y[/tex]

In your equation, we have all 3 numbers:

With that information, you can convert the logarithm into "normal" form:

[tex]10^{-3}=x^{123}[/tex]

The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.

Now, just solve for x:

[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]

That's about as simplified as it gets, unless you want this:

[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]

Thats 10^(3/125), numbers got very small.

I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.

Answer:

33 miles

Step-by-step explanation:

The cyclist traveled for 3 hours ar 11 miles per house to find how many miles she traveled simply multiply the speed times the amount of time traveled 11 times 3 is 33

1 hour = 11 miles

3 hours = 11 x 3 miles

             = 33 miles.

Ans: 33 miles

I know this is already answered but I was bored lol.

Answer:

1) 7.5 inches, 2) 12.5 inches, 3) 6.25 inches

Step-by-step explanation:

In the problem statement, it is stated that the original dimensions of the photo are 5 inches by 8 inches. The 3 parts of the problem are asking what the respective width of the new photo would be given a different length measurement.

Using the ratio (5:8) you can set up an equation with x representing the missing measurement, and cross multiply to calculate the new width.

1) If the length is 12 inches, the width is 7.5 inches

[tex]\frac{5}{8} = \frac{x}{12}[/tex]

[tex]60=8x[/tex]

[tex]\frac{60}{8} =x[/tex]

[tex]7.5 = x[/tex]

2) If the length is 20 inches, the width is 12.5 inches

[tex]\frac{5}{8} = \frac{x}{20}[/tex]

[tex]100=8x[/tex]

[tex]\frac{100}{8} =x[/tex]

[tex]12.5 = x[/tex]

3) If the length is 10 inches, the width is 6.25 inches

[tex]\frac{5}{8} = \frac{x}{10}[/tex]

[tex]50=8x[/tex]

[tex]\frac{50}{8} =x[/tex]

[tex]6.25 = x[/tex]

Answer:

you factories the equation

Step-by-step explanation:

Start by squaring both sides

cosA+sinA=[tex]\sqrt{2}[/tex]

[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]

Apply Trig identity

[tex]cos^2x+sin^2x=1[/tex]

2cosAsinA+1=2

2cosAsinA=1

Apply Trig Identity

2cosxsinx=sin(2x)

sin(2A)=1

2A=arcsin1

arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]

2A=[tex]\frac{\pi }{2}[/tex]

A=[tex]\frac{\pi }{4}[/tex]

[tex]\pi[/tex] [tex]radians=180^o[/tex]

A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]

Answer:

254 in the first blank

Step-by-step explanation:

There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

Given that

There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.

There are actually 254 counties.

The amount of error in Pedro's estimate is 4.

Now we need to find percent error in Pedro's estimate.

4/254×100

=0.0157×100

=1.574%

Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%

To learn more on Percentage click:

#SPJ5

Answer:

Step-by-step explanation:

A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.

__

A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...

  t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height

The height at that time is ...

  s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2

  s(3/4) = 11 . . . . feet at maximum height

Answer:

-2x^2-2x-2

Step-by-step explanation:

C) -2x(x+2)-(3-2x)(x+2)

-2x^2-3x+2x-x-2

-2x^2-2x-2

Answer:

−3x−6

Step-by-step explanation:

-2x(x+2)-(3-2x)(x+2)

= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)

= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x

= -3x-6

Hopefully this helps!!

Answer:

2030.4

Step-by-step explanation:

divided 85 and 7.0

Answer:

Step-by-step explanation:

Let the sum allotted is x and 18750 - x.

Interest rate is 5%.

The interest amount is:

We have equation below to compare final amounts:

Correct choice is C

184 people

groups of 13

How many vans needed to take the people to the hotel.

[tex] \frac{184}{13} [/tex]

[tex] = 14.1538461538[/tex]

[tex]nearest \: whole \: number = 14[/tex]

therefore, they'll need 14 vans to take the people to the hotel.

answer= option B

Answer:

8cm

Step-by-step explanation:

An equilateral triangle means that all the sides are equal (the same length). A triangle has 3 sides so all we have to do is:

24/3 = 8

Each side is 8cm long

Answer:

Length of each sides = 8 cm

Step-by-step explanation:

Given the perimeter of an equilateral triangle, 24 cm:

Equilateral triangles have three congruent sides.

Hence, to find the length of an equilateral triangle, simply divide the perimeter by 3 (since an equilateral triangle has three equal sides).

Perimeter of an equilateral triangle = 24 cm

Side = 24 cm ÷ 3 = 8 cm

Therefore, the length of each side is 8 cm.

Answer:

1)YES:This is a decimal neither terminates nor repeats

2)YES:Repeating decimal

3)NO: Terminating decimal

4)YES: this is a decimal neither terminates nor repeats.

Step-by-step explanation:

Hope it can help you lovelots

Answer:

It's the 2nd graph

Step-by-step explanation:

Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.

Answer:

(a) 1.0792 x 10³

(b) 3.769 x 10³

(c) 9.985 x 10³

This should be the answer to the problems, the rounding part got me confused for a second.

Significant digits are numbers after the decimal that aren't 0. So the 1.0792, the 0 isn't a significant digit.

Answer:

See answer below.

Step-by-step explanation:

y - 7 = -1/4(x - 4)

y - 7 = -1/4(x - 4)   in point slope form  

In slope intercept form: y - 7 = -1/4x + 1

                                       y = -1/4 x + 8

Answer:

3/8 or 0.375

Step-by-step explanation:

............

Answer:

5/4

Step-by-step explanation:

Area of a rectangle = length * width

A = 3/4, W = 3/5, L = ?

3/4 = L * 3/5

[tex]\frac{3}{4}= L\frac{3}{5}[/tex]

L * 3 * 4 = 3 * 5

12L = 15

L = 15/12 = 5/4

Answer:

It is 0.6 miles

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{10}x +9[/tex]

Step-by-step explanation:

y = mx + b

where m is slope (1/10)

c is y intercept (9)

Answer:

1.5 OR 3/2

Step-by-step explanation:

Slope (m) = ΔY/ΔX= 3/2=1.5

θ = arctan(ΔY/Δx)= 56.30993247402°

ΔX = 3 – 1 = 2

ΔY = 0 – -3 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

Equation of the line:

y = 1.5x – 4.5

or

y=3/2x-9/2

Thus, 3/2

Answer:

Step-by-step explanation:

Use the coordinates of two points on the graph:

Find the slope using slope formula:

Answer:

Tom is 43yo and Tim is 36

Tim will be 41 in 5 years.

Step-by-step explanation:

Answer:

On which body part a temporal lobe is placed?

answer-

behind the ears

The square root of 81 is?

answer-

9

Answer:

I think it's x=3 I think that's it

I think the answer is 3 because 4÷2=2. Hence, 6÷2=3

Step-by-step explanation:

1.A

2.A

3.A

4.C

5.A

6.A

7.C

8.D

9.A

10.C

11.C

12.C

13.D

14.B

15.B

16.A

17.C

18.A

19.B

20.C

21.B

22.D

23-27 Write in

Answer:

2x + 0.9 = 21.2

Step-by-step explanation:

Let x be the number

The number was doubled so it should be 2x, then add 0.9 equals to 21.2

Answer:  2x + 0.9 = 21.2

and x = 10.15

Step-by-step explanation:

Answer:

2mi/min

Step-by-step explanation:

Speed=Distance/Time

=160mi/80min

=2mi/min

Answer:

Attempt 4, Attempt 6, Attempt 7

Emma your face is always so blank, Like Give us an expression! And your nose so flat Like you've been hit with a pan Just like your chest. Sebastion Must be blind if he has a thing for You, I mean look at your flat lookin self you he must be built reta.rded. Maybe that's why his Mama Left him.