What is the gradient of the blue line

Answer:

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

Step-by-step explanation:

End points of the diameter of the circle are:

[tex](-2,\:4) \implies x_1= -2, \: y_1= 4[/tex]

[tex](4,\:2) \implies x_2= 4, \: y_2= 2[/tex]

Equation of circle in diameter form is given as:

[tex](x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0[/tex]

Plugging in the values of [tex]x_1, \: y_1,\:x_2, \: y_2[/tex] in the above equation, we find:

[tex][x-(-2)](x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies (x+2)(x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies x^2-2x-8+y^2-6y+8=0[/tex]

[tex]\implies x^2-2x+1-9+y^2-6y+9-1=0[/tex]

[tex]\implies (x^2-2x+1)-9+(y^2-6y+9)-1=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2-10=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

This is the required equation of circle in standard form.

Answer:

Part A: Yes. For every 10 employees, an increase of 80 products produced.

Part B: y = 8x + 120

Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees

Step-by-step explanation:

Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees

Part B: For y = mx + c ,

m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8

c = Y-intercept, when X = 0. Therefore c = 120

Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.

Answer:

the answer is 3.25 x 10^-4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hey there!

In this question, it is asking us what table doesn't have a proportional relationship

In table A, there is no seen relation ship between the numbers, columns, or rows

In all of the other tables, the numbers in each column is increasing by a number again and again meaning A is the incorrect table.

Answer:

A i believe

Step-by-step explanation:

Its not B because it is proportional by 0.6666666

Its not C because it is proportional by 3

It not D because its proportional by 1.33333333

Please mark as brainliest

Answer:

i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5

Step-by-step explanation:

Can I please have brainliest

Answer:

(x − 2)×(3x+1)

Step-by-step explanation:

We can use this method:

[tex]\begin{aligned}3 x^{2}-5 x-2 &=3 x^{2}-5 x-x+x-2 \\\\&=3 x^{2}-6 x+x-2 \\\\&=3 x \cdot(x-2)+(x-2) \\\\&=(x-2)(3 x+1)\end{aligned}[/tex]

All I did is Subtracting x then adding x which will not affect the result because  -x + x = 0

Answer:

1/32  lb per slice

Step-by-step explanation:

We want the pounds per slice, or lb/slice.

We have 0.25 lbs and 8 slices, so:  (0.25 lb/8 slices)

(0.25 lb/8 slices) = (1/8)(0.25)

(1/8)(0.25)(4/4) = 1/32 lb per slice

Check:

(8 slices)*(1/32 lb/slice) = 8/32 lb

8/32 = 1/4 lb total  YES

Answer:

1/2

Step-by-step explanation:

It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!

Answer: the answer is 1 over 2 as a fraction

Step-by-step explanation:

Answer: About 5.59

Step-by-step explanation:

        The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.

        Here is what it looks like.

[Step 1]

        Find the average.

[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]

[Step 2]

       Find the absolute value of each data from the mean.

|52 - 56.14| = 4.14

|65 - 56.14| = 8.86

|63 -  56.14| = 6.86

|48 -  56.14| = 8.14

|52 -  56.14| = 4.14

|53 -  56.14| = 3.14

|60 -  56.14| = 3.86

[Step 3]

      Find the average of these values.

[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Area of whole shape = Area of greater rectangle - area of smaller rectangle

Area of greater rectangle :

[tex]\qquad \sf  \dashrightarrow \:11 \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:110 \: \: ft {}^{2} [/tex]

Area of smaller rectangle :

[tex]\qquad \sf  \dashrightarrow \:7 \times 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:56 \: \: ft {}^{2} [/tex]

Area of composite figure :

[tex]\qquad \sf  \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: {ft}^{2} [/tex]

Answer:

4.5 minutes or 36/8 minutes or 9/2 minutes

Step-by-step explanation:

So we simply find 3/8 of 12 by multiplying:

[tex]\frac{3}8} \times 12[/tex]

This gives us 36/ 8

Now, depending on how you want your answer formulated, we just reduce it to either 9/2 minutes, or 4.5 minutes.

Hope this helpss!!!

Answer:

D.

Step-by-step explanation:

Not for sure sorry but i think its D or A so so sorry

Answer: the answer is D

Step-by-step explanation:V = pi (d/2)^2  *  h

V =  pi  (d^2  / 4)   * h

 h =  4V  /  ( pi  * d^2)       (meters) 

Answer:

Step-by-step explanation:

100 cm = 1 m

25 cm =  25 ÷ 100 = 0.25 m

1000mm = 1m

25 mm  = 25 ÷ 1000 = 0.025

0.250   +

0.025

0.275

25 cm 25 mm = 0.275 m

Answer:

same as other answer

Step-by-step explanation:

Answer:

2.5%

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

Substituting given values into the formula and solving for r:

⇒ 60 = 800 · r · 3

⇒ 60 = 2400r

⇒ r = 0.025

Converting r to percentage:

0.025 × 100% = 2.5%

Answer:

2.5%

Step-by-step explanation:

Given:

Formula:

Simple interest = (Principle × Rate × Time)/100

Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.

[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]

Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.

[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]

[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]

Simplify both sides of the equation:

[tex]\implies60 ={ 24\times \text{Rate}}[/tex]

Divide both sides by 24.

[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]

Simplify both sides as needed:

[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]

[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]

[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]

Thus, the rate of interest per annum is 2.5%.

Students who will attend community college are not required to take SAT or ACT exams.

Given that,

Based on the information.

Therefore, Students who will attend community college are not required to take SAT or ACT exams.

Learn more: https://brainly.com/question/7567975

Answer:

p = [tex]\frac{q-4}{3}[/tex]

Step-by-step explanation:

q - 2p = p + 4

=> p + 2p = q - 4

=> 3p = q - 4

=> [tex]\frac{3p}{3} =\frac{q-4}{3}[/tex]

=> p = [tex]\frac{q - 4}{3}[/tex]

hope this helps!! p.s. i really need brainliest :)

Answer:

p = (q - 4)/ 3.

Step-by-step explanation:

q - 2p = p + 4

q - 2p - p = 4

-3p = 4 - q

p = -(4 - q)/3

p = (q - 4)/ 3

The shape is not normal since the sample size (6) is less than 30.

The mean and standard deviation of the sample distribution is 39, and 0.82 repectively

The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.

Given that

n = 6, mean = 39 and standard deviation o = 2.

Hence:

The shape is not normal since the sample size (6) is less than 30.

The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82

Find out more on normal distribution at: https://brainly.com/question/4079902

Answer:

15 mph

Step-by-step explanation:

Answer:

760 in^2

Step-by-step explanation:

2(22*10)+2(22*5)+2(5*10) = 760in^2

Answer:

150m

Step-by-step explanation:

work = force x distance

w=fd

d=w/f

d= 4500/30 = 150

The pair of algebraic expressions which are like terms is; 20x and 0.8x.

Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.

check all options:

20x, 0.8x

same variable and exponent

17, 3x

Not same variable

14x, 14x²

Same variable, not same exponent

0.5x, 0.5y

Not same variable

On this note, it follows that the terms 20x and 0.8x are like terms.

Read more on like terms;

https://brainly.com/question/480769

Answer:

1200

Step-by-step explanation:

buckets can hold 300 ponds so 0.25 divided by 300

Answer:

Greater than

Step-by-step explanation:

The quotient of 3 and 1/4 would be 3/(1/4).

You could then multiply by the inverse of 1/4 to simplify the expression. This would give you [tex]3*\frac{4}{1}[/tex] or just 3 times 4. 3 * 4 = 12.

Since 12 is greater than 3, the quotient of 4 and 1/4 is greater than 3.

Answer:

Hi! I'm not too bad at math so I hope I can help you. Except, I can't seem to find your question so please comment your question(s) to me so that I can help you. Have a great day:)

Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².

Given the following parameters of the right triangle:

Apply the Pythagorean theorem:

b = √(4² - 3²)

b = 2.6 cm (nearest tenth)

Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

Learn more about Pythagorean theorem on:

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