Which graph represents the solution of x2 + (y – 2)2 < 36 and y2 > 8x?

Answer:

$8200

Step-by-step explanation:

rounded to the nearest dollar

The required interest earned is $8200.

Given that,
Suppose Shelly invests $2650 semiannually into an annuity for six years. At the end of this time, she has $40,000.
To determine how much of this balance is from interest.

Simple interest is defined as the percentage of earnings on the lending for a period of time.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Total balance earned = $40,000
Total investment in 6 year = 6*2*2650
                                            = 31,800
Interest earned = 40,000 - 31800
                          = $8200

Thus, the required interest earned is $8200.

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9514 1404 393

Answer:

  about 1.57×10^27 (see below for the exact value)

Step-by-step explanation:

  1,570,042,899,082,081,611,640,534,563  

__

Most calculators do not carry enough internal digits to compute the exact value of this number. Fortunately, there are "infinite precision" math packages around that will find this value for you.

Answer:

0.0485 = 4.85% probability that you miss the bus.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We have to find the distribution for the difference in times between when you arrive and when the bus arrives.

You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:

[tex]\mu = 0 - 5 = -5[/tex]

The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So

[tex]\sigma = \sqrt{2^2 + 3^2} = \sqrt{13}[/tex]

The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?

You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.

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

[tex]Z = \frac{1 - (-5)}{\sqrt{13}}[/tex]

[tex]Z = \frac{6}{\sqrt{13}}[/tex]

[tex]Z = 1.66[/tex]

[tex]Z = 1.66[/tex] has a pvalue of 0.9515

1 - 0.9515 = 0.0485

0.0485 = 4.85% probability that you miss the bus.

Answer:

answer for the 9 question

Answer:

(8.1744 ; 9.0056) ;

With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around this value.

Step-by-step explanation:

Given that :

Sample size, n = 14

Mean, xbar = 8.59

Standard deviation, s = 0.72

Tcritical at 95%, df = 13 - 1 = 12 confidence level = 2.160

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.160 * 0.72/sqrt(14)

Margin of Error = 0.4156446

Lower confidence boundary :

8.59 - 0.4156 = 8.1744

Upper confidence boundary :

8.59 + 0.4156 = 9.0056

Confidence interval : (8.1744 ; 9.0056)

Hence, we can conclude with a confidence of 95% that the true mean proportional limit stress of all joints exists within the interval above.

Answer:

10. 200 sq.in

11. 56 sq.in

Step-by-step explanation:

10.

area = 16×2 + 12×10 + 1/2 × 8 ×12

= 32+ 120 + 48

= 200

11.

area= 1/2 ×3 × 4+ 1/2×5×4 + 8×5

= 6+ 10 + 40

=56 sq.in

Answer:

3 plus 15x should be the correct answer.

Step-by-step explanation:

hope this helped

Answer:

3+8x+7x3+1518+x11x+718x

=3+8x+7x3+1518+x12+718x

Step-by-step explanation:

Answer:

multiply 3 to the second eqn

Answer:

$414

Step-by-step explanation:

Steps to take to derive the answer to this question :

1. Determine the price after the 10% discount

2. Use the price gotten above to determine the price after the 15% raise

price after discount = original price - discount

Discount = 0.1 x $400 = $40

Price after discount = $400 - $40 = $360

Price after raise = discounted price + raise

15% raise = 0.15 x $360 = $54

Price after raise = $360 + $54 = $414

Answer:

38?  

Step-by-step explanation:

Answer:

z = -17

Step-by-step explanation:

If the average of x and y is 11, then;

x+y/2 = 11

x+y = 2 + 11

x+y = 22 .... 1

similarly, if average of x, y and z is 5, then;

x+y+z/3 = 5

x+y+z = 3*5

x+y+z = 15

Since x+y = 22

22 + z = 5

z  = 5 - 22

z = -17

Hence the value of z is -17

-#(1(1+#&$:3:+343;2()1-^|•{`}÷~^¢™¢

Step-by-step explanation:

Given,

[tex]y = - 3(x - 2) + 4[/tex]

then,

[tex]y = - 3x + 6 + 4 \\ y = - 3x + 10[/tex]

also,

[tex]y + 3x = 10 \\ 3x + y = 10 \\ multiply \: equation \: by \: 2 \\ 6x + 2y = 20[/tex]

From here you can see,options C and E are the answer

Answer:

490 in.^3

Step-by-step explanation:

volume = length * width * height

volume = 7 in. * 10 in. * 7 in.

volume = 490 in.^3

Volume = edge^(3).

Volume = (7)(10)(7) inches

Volume = 490in^3

Answer:

C

Step-by-step explanation:

Answer:

x¹y¹=2,3

x²y²=7,9

ans

prove

and

last

=

rhs

Answer:

$1497.04

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The sum of the short two sides must exceed the length of the longest side. That is not the case for lengths {4, 5, 15} or {5, 5, 10}.

Triangles can be formed from {3, 5, 7} and {4, 5, 6}.

Answer:

Step-by-step explanation:

2 + 4 + 6 = 12 / 3 = 4

Average of even numbers = 4

1 + 3 + 5 + 7 = 16 / 4 = 4

Average of odd numbers = 4

The averages are equal, since both are 4.

Hope that helps!

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

hi lol Idek anyways tell me if its wrong

Answer:

h - c + c = h

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

If you have H - C + ____ = H you would need something to cancel out C and I believe that would just be a positive C

Answer:

tanθ=1.17

Step-by-step explanation:

please see the attachment below

Answer: x = 14/5.   Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5

Answer:

Step-by-step explanation:

2(x +3) = 8 - 3 (x-4)

=> 2x + 6 = 8 - 3x + 12

=> 2x + 3x = 8 - 6 + 12

=> 5x = 14

[tex] = > x = \frac{14}{5} [/tex]

=> x = 2.8 (Ans)

Answer:

x^2+y^2=5

25x^2+25y^2=1

x^2+y^2=0.25

x^×+y^2=0.0025

Answer:

U= ka +ba=a (Given)

Step-by-step explanation:

U=ka + baa= Ukinana HAHAHA

Answer:

[tex]a = \frac{u}{k + b} [/tex]

Step-by-step explanation:

Factor out the common term a.

[tex]u = a(k + b)[/tex]

Divide both sides by k + b.

[tex] \frac{u}{k + b} = a[/tex]

Switch sides.

[tex]a = \frac{u}{k + b} [/tex]

hence, the answer is u/k + b.

The polynomial 49 · x · y + 34 · y - 72 · z has three variables (x, y, z) and each of these variables has a degree of 1.

Variables and degrees are the most important features in polynomials. A variable is a letter that represents at least one value of an expression and the degree of the variable is the maximum number of the exponent associated to the variable. According to the statement, the polynomial has three variables (x, y, z), each of them has an degree of 1, that is:

grade (x) = 1, grade (y) = 1, grade (z) = 1

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Answer:

Solution given:

A(x,y))----reflection about x axis--->A'(x,-y)

P(2,1)---reflection about x axis----->Q(2,-1)

R(-6,-5)----reflection about x axis-->S(-6,5)

Answer:

Step-by-step explanation:

Reflection rule across the x-axis:

Correct choice is A

Answer:

C. π ft ²

Step-by-step explanation:

:)

Answer:

c. 3.14^2

Step-by-step explanation:

A= pi × R^2

have a good day

Answer:

Step-by-step explanation:

1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°

2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side

3) Isosceles triangle theorem states that the angles opposite the equal sides of an isosceles triangle are congruent

4) Converse of the Isosceles theorem states that the sides opposite the equal angles of an isosceles triangle are congruent

5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to

6) Concurrency of medians theorem states that the medians of a triangle intersect at a point within the triangle

Step-by-step explanation:

1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°

Proof: To draw a triangle ABC starting from the point A we move 180° - ∠A to get to ∠B

From ∠B we turn 180° - ∠B to get to ∠C and from ∠C we turn 180° - ∠C to get back to A we therefore have turned 360° to get to A which gives;

180° - ∠A + 180° - ∠B + 180° - ∠C = 360°

Hence;

- ∠A - ∠B  - ∠C = 360° - (180°+ 180°+ 180°) = -180°

-(∠A + ∠B  + ∠C) = -180°

∴ ∠A + ∠B  + ∠C = 180°

2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side

Proof: Given ΔABC with height h from B to D along AC, then

AC = AB×cos∠A + CB×cos∠C

Since ∠A and ∠C are < 90 the cos∠A and cos∠C are < 1

∴ AC < AB + CB

3) Isosceles triangle theorem

Where we have an isosceles triangle ΔABC with AB = CB, we have by sine rule;

Therefore;

sin(C) = sin(A) hence ∠A = ∠C

4) Converse of the Isosceles theorem

Where we have an isosceles triangle ΔABC with ∠A = ∠C, we have by sine rule;

Therefore;

sin(C) = sin(A) hence AB = CB

5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to

Given triangle ABC with midsegment at DF between BA and BC respectively, we have;

in ΔABC and ΔADF

∠A ≅ ∠A

BA = 2 × DA, BC = 2 × FA

Hence;

ΔABC ~ ΔADF (SAS similarity)

Therefore,

BA/DA = BC/FA = DF/AC = 2

Hence AC = 2×DF

6) Concurrency of Medians Theorem

By Ceva's theorem we have that the point of intersection of the segments from the angles in ΔABC is concurrent when the result of multiplying ratio the ratios of the segment formed on each of the triangle = 1

Since the medians bisect the segment AB into AZ + ZB

BC into BX + XB

AC into AY + YC

Where:

AZ = ZB

BX = XB

AY = YC

We have;

AZ/ZB = BX/XB = AY/YC = 1

∴ AZ/ZB × BX/XB × AY/YC = 1 and the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).

PLZ MARK ME BRAINLY

Answer:

The answer is the last line.

Step-by-step explanation:

Use the quadratic formula

a = 1

b = -a

c = a^2 - b

x = -b +/- sqrt(b^2 - 4ac)

      =================

                 2a

x = a +/- sqrt(a^2 - 4(1)*(a^2 - b)

    ========================

                     2

x = a +/- sqrt(a^2 - 4a^ + 4b)

    =====================

                     2

x = a +/- sqrt(4b - 3a^2)

    ===================

                   2