3p + 7q = 55
7p + 7q = 91
What is p and q

Answer:The following algorithmic calculation tool makes it easy to quickly discover ... E.g: 11,21,10,42,53 ... Mean = sum of values / N (number of values in set); Variance = ((n1- ... Population Standard Deviation = use N in the Variance denominator if ... for data set 1,8,-4,9,6 compute the SD and the population SD.

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{x^2 + 8x = 9}[/tex]

[tex]\large\textsf{SUBTRACT 9 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 9 - 9}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE of the EQUATION}[/tex]

[tex]\mathsf{(x - 1)(x + 9) = 0}[/tex]

[tex]\large\textsf{SET the FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x - 1 = 0 \ OR \ x + 9 = 0}[/tex]

[tex]\large\textsf{Simplify above and you have your answer to the question above (also}\\\large\textsf{known as the results for your x-values)}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 1 or x = -9}}}\huge\checkmark[/tex]

[tex]\large\textsf{But, your overall answer should be:}[/tex]

[tex]\huge\boxed{\textbf{ADD \underline{16} to both sides}}[/tex]

[tex]\large\textsf{Because, you had to break down x}\mathsf{^2}\large\textsf{ to (x + 4)(x + 4) or you could}\\\large\textsf{simply say (x + 2)}\mathsf{^2.}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

We know

To get 2ab satisfied

16 must be added on both sides to get (x+4)²

9514 1404 393

Answer:

  (c)  x = 10

Step-by-step explanation:

The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.

  90 = 10x -10

  100 = 10x . . . . . add 10

  10 = x . . . . . . . . divide by 10

The value of x is 10.

Answer:

The equation of line FG is [tex]y = \frac{2}{3}x - 4[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

F(-3;-6), G(3; -2)

When we have two points, the slope is given by the change in y divided by the change in x. So

Change in y : -2 - (-6) = -2 + 6 = 4

Change in x: 3 - (-3) = 3 + 3 = 6

Slope: [tex]m = \frac{4}{6} = \frac{2}{3}[/tex]

So

[tex]y = \frac{2}{3}x + b[/tex]

Finding b:

(3; -2) means that when [tex]x = 3, y = -2[/tex]. We use this to find b.

[tex]y = \frac{2}{3}x + b[/tex]

[tex]-2 = \frac{2}{3}(3) + b[/tex]

[tex]2 + b = -2[/tex]

[tex]b = -4[/tex]

The equation of line FG is [tex]y = \frac{2}{3}x - 4[/tex]

Volume of the sphere = 4/3πr³

905 1/7 = 4/3*22/7*r³

6336/7 = 4/3*22/7*r³

r³ = (6336*7*3)/(4*22*7)

r³ = 133056/616

r³ = 216 

r = ∛216

r = 6 cm 

So, diameter = 6*2 = 12 cm

Surface area of the sphere = 4πr²

= 4*22/7*6*6

= 3168/7

Surface area of the sphere = 452.57 sq cm

Hope it helps.

sorry, I can help with this question but the question is cut off on the right, reply to me with the full question and id be happy to help :)

Answer:

B.

Step-by-step explanation:

a function is continuous, if the functional values are the same at the "connection" points of the various segments (and the segments themselves are continuous).

"continuous" simply means that the graph of the function is a continuous line without any "rips". it can have corners and such, but no "interruptions".

specifically it means : for every possible y value in the defined range of the function there is an x value that causes this y.

all defined segments are continuous functions.

so, let's look at

A. the first connection point is x=-2.

-2 + 6 = 0.5×(-2)²

4 = 0.5×4 = 2

4 = 2 is wrong. => here, at this point, the function "rips" apart and is not continuous.

B. x=-2

-2 + 4 = 0.5×(-2)²

2 = 2 is correct. continuous at this point.

second connection point x=4

0.5×4² = 20 - 3×4

0.5×16 = 20 - 12

8 = 8 is correct. continuous at this point

C. x=-2

-2 - 2 = 0.5×(-2)²

-4 = 2 is wrong. not continuous

D. x=-2

-2 + 4 = 0.5×(-2)²

2 = 2 is correct. continuous here.

now for x=4

4 + 4 = 25 - 3×4

8 = 25 - 12 = 13

8 = 13 is wrong. not continuous.

9514 1404 393

Answer:

  a4 = -666

Step-by-step explanation:

Use the recursive definition repeatedly.

  a1 = 6

  a2 = -5(6) +4 = -26

  a3 = -5(-26) +4 = 134

  a4 = -5(134) +4 = -666

Answer:

4444

Step-by-step explanation:

Answer:

819

Step-by-step explanation:

addinh jndenf,r fm,fd vm,fd  jngtjgntftb n

bm bm tm mt m

tmknmenmgv

etab

etbbbbbbehgeb

tbbbbbbbbbbb

Answer:

JK and LH

Step-by-step explanation:

if u look at it, they are the smaller arcs produced compared to HJ and KL which are much bigger

Answer:tôi chưa hiểu câu hỏi của bạn

Step-by-step explanation:

Answer:

The solution is D. x² + y² + 4x - 2y = -1

Step-by-step explanation:

The standard form of a circle with a center at (h,k) and a radius r is:

(x-h)² + (y-k)² = r²

Since the center is (-2,1) and the radius is

2, we know that:

Thus, the equation of the circle is:

(x-(-2))² + (y-1)² = 2²

This simplifies to be

(x+2)² + (y-1)² = 4

The equation of the circle is:

(x+2)² + (y-1)² = 4

x²+4x+4+y²-2y+1 = 4

x²+y²+4x-2y+5 = 4

x²+y²+4x-2y = 4-5

x²+y²+4x-2y = -1

Answer: (x+1)^2(x-5)^4(x+2)

Step-by-step explanation: 1. Cancel x  (x+1)^2(x-5)(x+2)(x-5)^3

Use The product Rule: x^a x^b= x ^a+^b and your answer should be (x+1)^2(x-5)^4(x+2)

2*-3y-6

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Let father's age be x

let son's age be y

x + y = 60 - (eq 1)

Six years ago,

(x - 6) = 5(y - 6) -(eq 2)

From (1)

x = 60-y

Therefore, 60-y - 6= 5y - 30

y = 14

in six years, y = 20

Answer:

$5555.73

Step-by-step explanation:

$16.99 per 1 person

300+50=350-23=. 327

327×$16.99= 5555.73

Try this and if it doesn't work then let me know

Answer:

0.2 amps

Step-by-step explanation:

Given data

The formula V=IR is the formula for ohms law

Which state that  the voltage is directly proportional to the current and the resistance in an electric circuit

Now

R= 15 ohms

V= 3volts

V= IR

3= I*15

I= 3/15

I= 0.2 amps

Hence he current flowing is 0.2 amps

Answer:

A

Step-by-step explanation:

i hope it help!!!!!!!!!

Answer:

A sample size of 3 is required.

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 - 0.96}{2} = 0.02[/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 - 0.02 = 0.98[/tex], so Z = 2.054.

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.

Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.

This means that [tex]\sigma = 3.6[/tex]

He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.

The sample size needed is of n, and n is found when M = 5. So

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

[tex]5 = 2.054\frac{3.6}{\sqrt{n}}[/tex]

[tex]5\sqrt{n} = 2.054*3.6[/tex]

[tex]\sqrt{n} = \frac{2.054*3.6}{5}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2[/tex]

[tex]n = 2.19[/tex]

Rounding up:

A sample size of 3 is required.

Answer:

g(x) = f(x) - 2

g(x) = f(x + 2)

Step-by-step explanation:

y-intercept of a function:

The y-intercept of a function is the value of y when x = 0.

Function f:

Graph given in this question

When [tex]x = 0, y = 6[/tex], so the y-intercept is 6.

Additionally, when [tex]x = -2, y = 4[/tex]

If g has a y-intercept at 4, which of the following functions could represent g?

Either we subtract 2 from f, that is:

[tex]g(x) = f(x) - 2[/tex]

Or we can also add 2 on the domain, that is, moving 2 units to the right, so:

[tex]g(x) = f(x+2)[/tex]

So the first two options are correct.

Answer:

the answer would be g(x)=f(x)-2

Step-by-step explanation:

i got it right

Answer:

A number that measures the likelihood that the event will occur.

Step-by-step explanation:

Probability is a measure of the frequency of occurrence of a phenomenon, the value of which can be expressed qualitatively or quantitatively. Probability is quantified as a real number between 0 and 1, although sometimes probability is also expressed as a percentage. The probability is 0 when the event cannot or will never happen, and the probability is 1 when it happens for sure or it always happens. If the probability is between these values, the event is not common and its occurrence is uncertain. The higher the probability value, the more common the event is or the more certain it will occur.

Answer:

Ok, cool

Step-by-step explanation:

Answer:

8,889

Step-by-step explanation:

1 twig = 10 leaves

1 branch = 10 twigs = 100 leaves

1 trunk = 10 branches = 1000 leaves

1 tree = 10 trunks = 10,000 leaves

The complete tree has 10,000 leaves

The woodcutter cut off:

1 trunk = 1000 leaves

1 branch = 100 leaves

1 twig = 10 leaves

1 leaf

Total number of leaves that were cut:

1000 + 100 + 10 + 1 = 1111

Leaves left on tree:

10,000 - 1,111 = 8,889

Answer:

x+4=72

x=72-4

x=68

Step-by-step explanation:

let x be one number and 4 be anothe number then sum of the two number be x and 4

Answer:

910,000 ÷ 2,000

Step-by-step explanation:

1 ton = 2000 pounds

therefor divide pounds by 2000 to get tons

910,000 ÷ 2,000

Answer:

[tex]a_{n}[/tex] = 4n + 11

Step-by-step explanation:

There is a common difference between consecutive terms, that is

19 - 15 = 23 - 19 = 4

This indicates the sequence is arithmetic with explicit rule

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 15 and d = 4 , then

[tex]a_{n}[/tex] = 15 + 4(n - 1) = 15 + 4n - 4 = 4n + 11