a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?

[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]

Answer:

x= -5/4

Step-by-step explanation:

4x+8=3

4x=3-8

4x=-5

x= -5/4

The four consecutive odd numbers are  - 11, - 9, - 7, - 5.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).

Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.

∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.

5(2n + 4) = 8(2n + 8) + 22.

10n + 20 = 16n + 64 + 22.

10n - 16n = 86 - 20.

- 6n = 66.

n = - 11.

So, The numbers are - 11, - 9, - 7, - 5.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Answer:

6.5

Step-by-step explanation:

6 to 9 so 39 divided by 6 and you get 6.5

Answer:

6:9 in-simplified is 23:39

Step-by-step explanation:

So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.

Answer:

5 crayons to 15 school supplies

Step-by-step explanation:

since its supplies in general, add 5 crayons, 4 pencils, and 6 erasers to get 15 total

Considerations based on the wattage of the available appliances are required when designing for the electricity.

Reasons:

The items used and the possible power consumption obtained from a similar are as follows;

Appliance [tex]{}[/tex]                                      Average power (Watts)

One air conditioner;  [tex]{}[/tex]                     3,500

Washing machine; [tex]{}[/tex]                         500

Clothing dryer;  [tex]{}[/tex]                              5,000

Computers × 2;  [tex]{}[/tex]                             70 × 2 = 140

Light bulbs × 4;  [tex]{}[/tex]                             60 × 4 = 240

Refrigerator;  [tex]{}[/tex]                                  600

Television × 2;  [tex]{}[/tex]                               240 × 2 = 480

The power, P, in watts that might be needed is found as follows;

Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460

The electric power in watts that might be needed, P = 10,460 Watts

Therefore;

The available wattage must be greater than 10,460 Watts

The inequality is; Available wattage > 10,460 Watts

Learn more about electricity design here:

https://brainly.com/question/24786034

Answer:

Step-by-step explanation:

The highest point in North America, Mount McKinley, in the Alaska Range, is 20,320 feet above sea level. The lowest point m North America is 282 feet below sea level and is in Death Valley in California. Which student correctly calculated the difference in elevations? Explain the error.

\begin{matrix} \text{Student A} & \text{Student B}\\ \text{20,320 - 282} & \text{20,320 - ( -282)}\\ \text{20,320 + (-282)} & \text{20,320 + ( + 282)}\\ \text{20,038 feet} & \text{20,602 feet}\\ \end{matrix}

Student A

20,320 - 282

20,320 + (-282)

20,038 feet

​

Student B

20,320 - ( -282)

20,320 + ( + 282)

20,602 feet

​

Answer:

X is 120° I hope this helps you

Answer:

Step-by-step explanation:

330,000,000,000,000,000,000,000 has 22 zeros, so we can immediately say

33x10^22

This should be expressed using just a single decimal point, so we can move the decimal point two more spaces to the left, and add 2 to the exponent:

3.33x10^23

The question states a one digit whole number, so make it 3x10^23, although it seems an insult to the 0.33.  Go with the one you prefer.

Step-by-step explanation:

so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.

d = 8km/h × 2h = 16km

Serena ran 16km in these 2 hours.

Answer:

the correct answer is 16km

Step-by-step explanation:

pl.z dont delete this

Answer:

See answer below.

Step-by-step explanation:

Pick any two ordered pairs that is on the given graph line.

The  Slope = (the change in the y-values)/(the change in the x-values) or

Answer:

213.7°

Step-by-step explanation:

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

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Part A: 135

Part B: 213.7  

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[RevyBreeze]

MATE!

213.7°

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

Part A: 135

Part B: 213.7  

Answer:

C

Step-by-step explanation:

Third expression asks you to basically divide by zero. That is, find a number that multiplied by 0 gives you 3, which is impossible.

Hello!

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Option C

Division by 0 is undefined.

6-6=0, and any expression that has 0 it its denominator is undefined.

I hope it helps you! (:

~SparklingFlower

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Step-by-step explanation:

I I think you have your answer now

Answer:

21.8

Step-by-step explanation:

1.9 + 9 = 10.9

10.9 x 2 = 21.8

Answer:

21.8

Step-by-step explanation:

2×1.9=3.8

2×9=18

total=21.8

Answer:

A. 49

Step-by-step explanation:

ratio of houses is 3 new to 7 old

21 new is 7 times more than 3, so 7 will also be 7 times more

so, 21 to 49

I hope that made sense

Answer: the answer is

y-4=6*(x-7)

Step-by-step explanation:

Answer:

NEED TRANSLATOR

Step-by-step explanation:

ENGLISH PLEASE

Answer: total is 200

Step-by-step explanation:

30% = 60

10% = 60/3 = 20

100% = 200

Answer:

0,212205882352941

Step-by-step explanation:

they look the same size but because of the 2 in front meaning it's going to be double than what the real answer it is (and it twelve Ike it's counter part) it would be six... yet someone already answered before me so credits to him.

ANSWER 6

Answer:

$1,104

Step-by-step explanation:

If the discount is 8%, then you would need to subtract 8% (0.08) from 1, which would be 0.92. Now multiply $1,200 by 0.92 and you'll get $1,104.

=================================================

[tex] \rightarrow [/tex] 1,200 x (100% - 8%)

[tex] \rightarrow [/tex] = 1,200 x 0.92

[tex] \rightarrow [/tex] = 1,104

Answer: To answer your question: If two of the angles of two triangles are the same, the triangles are similar. ... If two of the angles are known, the third can be found by subtracting the two known angles from 180. If the three angles of two triangles are the same, the triangles have the same shape and are similar.

Step-by-step explanation:: I have now explained  to you why the Angle- Angle Triangle Similarity Theorem works i hope Iwas able to help good luck

Answer:

slope = - 2.25

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x + 4y = 8 ( subtract 9x from both sides )

4y = - 9x + 8 ( divide through by 4 )

y = - 2.25x+ 2 ← in slope- intercept form

with slope m = - 2.25

Answer:

Therefore, Aroha is 17 yrs old and her brother is 14 yrs old.

Step-by-step explanation:

Let's represent Aroha's brother's Agee with the letter "b" yrs old.

If Aroha is 3yrs older than her brother, she's : (b+3) yrs old.

The sum of their ages is 31,

b+(b+3)=31

2b+3=31

Collect like terms,

2b=31-3

2b=28

Divide both sides by 2,

b=14

b+3=17

A cheerful teen hoping this helps,

stay techy, brilliant and positive!

Answer:

3.4 + 5.2 + 4.7 + 3.5 + 0.5

= 17.3

There are a total of 5 numbers

17.3 / 5

= 3.46