1.6(5x-10)-(12x+15) I WILL AWORD BRILLNESTTTT

Answer:

y = -3x + 150

Step-by-step explanation:

2 points on the graph:

(30, 60) and (40, 30)

Slope:

m=(y2-y1)/(x2-x1)

m=(30 - 60)/(40 - 30)

m= (-30)/10

m= -3

Slope-intercept:

y - y1 = m(x - x1)

y - 60 = -3(x - 30)

y - 60 = -3x + 90

y = -3x + 150

Answer:

-1247400

Step-by-step explanation:

See the Image below:) I believe this is what you are looking for.

Answer:

1586.91 m³

Step-by-step explanation:

From the diagram attached,

Applying,

A = πrl.................. Equation 1

Where A = surface area of the cone, l = slight heigth of the cone, π = pie.

make l the subject of the equation,

l = A/πr.............. Equation 2

From the question,

Given: A = 628.32 m², π = 3.14, r = 8 m

Substitite these values into equation 2

l = 628.32/(3.14×8)

l = 25 m

But,

l² = h²+r².................... Equation 3

Where h = height of the cone.

h = √(l²-r²)

h = √(25²-8²)

h = √(625-64)

h = √(561)

h = 23.69 m

Also Applying,

V = 1/3πr²h

Where V = volume of the cone.

Therefore,

V = (3.14×8²×23.69)/3

V = 1586.91 m³

Answer:

Step-by-step explanation:

stay safe, stay healthy and blessed.

thank u

Answer:

a b c d e

Step-by-step explanation:

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20

Answer:

75 miles

Step-by-step explanation:

Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)

[tex]\frac{25}{2} = \frac{x}{6}[/tex]

Step 2: Divide the given values (Given values are 25 over 2. We are doing this because we need to know the difference between those two figures.)

[tex]\frac{25}{2}\\\\25 \div 2\\\\= 12.5 \:or\: 12\frac{1}{2}[/tex]

Step 3: Multiply the result to the 6 (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]12\frac{1}{2}\times6\\\\= 75[/tex]

Therefore, 75 is the distance in miles.

Answer:

Below.

Step-by-step explanation:

y + 2 > -3(x + 1)

y + 2 > -3x - 3

y > -3x - 5

The graph will be the graph of the line y = -3x - 5 (dotted line),  with the area above the line shaded.

Rhombus LMNO is shown with its diagonals.

Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.

Angle MLO measures 112°. What is the measure of angle MLP?

45°

56°

68°

90°

Step-by-step explanation:

B

Answer:

Step-by-step explanation:

A+B+C+D=360 degree (being one complete turn)

360 degrees

Step-by-step explanation:

because it a venticular angle you one side(180) and the other side (180) given you 360 degrees

Step-by-step explanation:

A:x=5-7

x=-2

B:x=-16+2

x=-14

l have answered only A and B

Answer:

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams

The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

The question is the base of the triangle, so we use the formula : b²=c²–a²

——————————————————————

[tex] {b}^{2} = \sqrt{c^{2} - {a}^{2} }[/tex]

[tex] {b}^{2} = \sqrt{ {16}^{2} - {8}^{2} } [/tex]

[tex] {b}^{2} = \sqrt{256 - 64} = \sqrt{192} [/tex]

[tex] \sqrt{192} =8 \sqrt{3} [/tex]

Answer:

b= 0.09475

Step-by-step explanation:

Answer:

[tex] - 3x + 4y = 24 \\ 3x - 4y = - 24 - - - (a) \\ 6x + 2y = - 18 - - - (b) \\ 2 \times (a) - (b) : \\ = > 0x - 10y = - 30 \\ 10y = 30 \\ y = 3 \\ \\ 3x = - 12 \\ x = - 4 \\ { \boxed{x = - 4}} \: \: \\ { \boxed{y \: = \: 3}}[/tex]

Answer:

40

Step-by-step explanation:

Inscribed Angle =  1/2 Intercepted Arc

<A = 1/2 (80)

<A = 40

Answer:

4000 fish left in lake after 5 years

Step-by-step explanation:

12 x 5 = 60 (60%)

10000 - 60% = 4000

Answer:

(1,4)

Step-by-step explanation:

(1,-4) is over 1 and down negative 4 so reflected over the x-axis(the horizontal one) it would be four up so the answer is (1,4)

Answer: (1,4)

Step-by-step explanation:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (1,-4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (1,4)

Answer:

False

Step-by-step explanation:

Precision  describes repeatability.  

Accuracy  describes the closeness of a measurement to the actual value.

 So your measurements may be precise but not accurate; for example if you used a faulty measurement system. And of course, you could get accurate results SOME of the time (which describes the exprerience of most researchers).

Errors in precision are usually detected.........eventually, invariably after you have shot your mouth off to your professor.

Answer:

i think the * is 100000, each number times 10

Answer:

4/5

Step-by-step explanation:

here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{2\sqrt{3} + 6}{12}[/tex]

Step-by-step explanation:

Simplify the denominator of [tex]\frac{1 + \sqrt{3} }{\sqrt{12} }[/tex] completely.

[tex]=> \frac{1 + \sqrt{3} }{ \sqrt{(4 \times 3)} } = \frac{1 + \sqrt{3} }{\sqrt{4} \times \sqrt{3} } = \frac{1 + \sqrt{3} }{2\sqrt{3} }[/tex]

Now, to rationalise it you need to make the denominator rational.

[tex]=> \frac{1 + \sqrt{3} }{2\sqrt{3} } \times \frac{2\sqrt{3} }{2\sqrt{3} }[/tex]

[tex]=> \frac{(1 + \sqrt{3})\times 2\sqrt{3} }{2\sqrt{3} \times 2\sqrt{3} }[/tex]

[tex]=> \frac{2\sqrt{3} + 6 }{12}[/tex]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Jon:

Initial investment (PV)= $14,500

Interest rate (i)= 0.05/4= 0.0125

Number of periods (n)= 4 quarters

Sara:

Initial investment (PV)= $16,250

Interest rate (i)= 0.04/365= 0.00011

Number of periods (n)= 365 days

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+ i)^n

Jon:

FV= 14,500*(1.0125^4)

FV= $15,238.71

Sara:

FV= 16,250*(1.00011^365)

FV= $16,915.67

Sara will have $1,676.96 more than Jon.

Answer:

y=6

Step-by-step explanation:

the equation that relates x and y is y=30(1÷x)

Answer:

D. 144

Step-by-step explanation:

Find volume of shipping container:

2 2/3 = 8/3

2 x 1 = 2

8/3 x 2/1 = 16/3

Find volume of cube:

1/3 x 1/3 = 1/9 x 1/3 = 1/27

Find how many boxes fit in container:

16/3 ÷ 1/27

16/3 x 27/1

Simplify:

16/1 x 9/1 = 144/1

Answer: 144

Answer:

[tex]P(x \le 21) = 0.69146[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]n = 64[/tex] --- population

[tex]\mu = 20[/tex] --- population mean

[tex]\sigma = 16[/tex] -- population standard deviation

Required

[tex]P(x \le 21)[/tex]

First, calculate the sample standard deviation

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

[tex]\sigma_x = \frac{16}{\sqrt {64}}[/tex]

[tex]\sigma_x = \frac{16}{8}[/tex]

[tex]\sigma_x = 2[/tex]

Next, calculate the sample mean [tex]\bar_x[/tex]

[tex]\bar x = \mu[/tex]

So:

[tex]\bar x = 20[/tex]

So, we have:

[tex]\sigma_x = 2[/tex]

[tex]\bar x = 20[/tex]

[tex]x = 21[/tex]

Calculate the z score

[tex]x = \frac{x - \mu}{\sigma}[/tex]

[tex]x = \frac{21 - 20}{2}[/tex]

[tex]x = \frac{1}{2}[/tex]

[tex]x = 0.50[/tex]

So, we have:

[tex]P(x \le 21) = P(z \le 0.50)[/tex]

From the z table

[tex]P(z \le 0.50) = 0.69146[/tex]

So:

[tex]P(x \le 21) = 0.69146[/tex]

Answer:

e) The company's daily cost to manufacture 80 items of the product is $500.

Step-by-step explanation:

We have that:

c is the cost in hundreds of dollars to manufacture n items. The input is the number of items, and the output is the cost, in hundreds of dollars.

Inverse function:

In the inverse function, the input and the output are exchanged from the original function, that is, in this situation, the input in the cost, in hundreds of dollars, and the output is the number of manufactured items.

c^-1(5)=80

Input of the inverse function is 5, which is the cost, in hundreds of dollars, that is, $500, to manufacture 800 itens. This means that the correct answer is given by option e.

Answer:

D). 100

Step-by-step explanation:

The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100