6. Social Security numbers are of the form XYZ - MN - ABCD.
a. The first three digits XYZ are referred to as the area number. The number is associated
with where you registered for your social security card. X is a number 1 - 7. Y and Z can
be any number 0 - 9. Also the area code 666 has never been used. How many area code
numbers are possible?
b. The middle two digits MN are referred to as the group number. The group number can
be any number from 01 to 99 (it cannot be 00). The last 4 digits ABCD are the serial
number. The serial number can be any from 0001 to 9999 (it cannot be 0000).
Additionally, the social security number 123-45-6789 is only used in advertisements.
How many social security numbers are possible?

Answer:

10  (5x−3)

Hope this helps!

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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The quadratic equation whose roots are (2α-β) and (2β-α) is given as follows:

y = x² - 5x - 23.02.

The quadratic equation for this problem is defined as follows:

x²-5x+3=0.

The coefficients of the equation are given as follows:

a = 1, b = -5, c = 3.

Hence the discriminant of the equation is of:

D = (-5)² - 4 x 1 x 3

D = 13.

Then the roots are given as follows:

Then the roots of the second equation are given as follows:

Applying the Factor Theorem, the quadratic function is defined as a product of it's linear factors, as follows:

y = (x + 2.91)(x - 7.91)

y = x² - 5x - 23.02.

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Answer:

A

Step-by-step explanation:

Answer:

z=  0.278

Step-by-step explanation:

Given data

n1= 60 ; n2 = 100

mean 1= x1`= 10.4;     mean 2= x2`= 9.7

standard deviation  1= s1= 2.7 pounds ;  standard deviation 2= s2 = 1.9 lb

We formulate our null and alternate hypothesis as

H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)

We set level of significance α= 0.05

the test statistic to be used under H0 is

z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂

the critical region is z > ± 1.96

Computations

z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100

z= 10.4- 9.7/ √ 7.29/60 + 3.61/100

z= 0.7/√ 0.1215+ 0.0361

z=0.7 /√0.1576

z= 0.7 (0.396988)

z= 0.2778= 0.278

Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0  at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.

Answer:

15 is 25% of 60

Step-by-step explanation:

15 x 4 = 60

25% x 4 = 100%

Answer:

I think that might be 60

Step-by-step explanation:

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

90

Step-by-step explanation:

77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong

Answer:

f(-4) = -6

g(2) = -14

Step-by-step explanation:

To evaluate a function we must plug in the values of x. So for:

f(x) = 2x+2

we have:

f(-4) = 2(-4)+2

then we simplify:

f(-4) = -8+2

so f(-4) = -6

Now the same steps are taken for g(x) in which the answer would be -14.

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

using the knowledge from the chapter similarity we can find how the two triangles are similar

Step-by-step explanation:

Triangle ABC and DEF

A B=DE

AC=DF

BC=EF

AB/DE=AC/DF=BC=EF

Answer:

The differential equation becomes -

\(\frac{dV}{dt} = k\sqrt[3]{V}\) i.e. \(\frac{dV}{dt} = kV^{\frac{1}{3} }\)

Step-by-step explanation:

Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.

To find - Write a differential equation that describes the relationship.

Proof -

Rate of change of volume V with respect to time t is represented by \(\frac{dV}{dt}\)

Now,

Given that,

The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.

⇒\(\frac{dV}{dt}\) ∝ \(\sqrt[3]{V}\)

Now,

We know that, when we have to remove the Proportionality sign , we just put a constant sign.

Let k be any constant.

So,

The differential equation becomes -

\(\frac{dV}{dt} = k\sqrt[3]{V}\) i.e. \(\frac{dV}{dt} = kV^{\frac{1}{3} }\)

Answer:

Step-by-step explanation:

1.) No. of student who can play an instrument= 20÷100×1,080 =0.2×1,080 = 216

2.) Minimum rate Sheila can work in =20 problems÷ 5 mins= 4 problems/min

3.) 75%

Answer:

30% increase

Step-by-step explanation:

percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = $35.10 - $27 = $8.10 , then

percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%

Answer:

Step-by-step explanation:

step 1:       35.10-27 =8.1

step 2:       8.1/27 x 100 = 30%

so therefore = 30% increase

Answer:

you can make 12 cans of them

Answer:

To simulate one trial of this situation using a random number table, we can follow these steps:Step 1: Assign the digits 00-04 to represent packages not delivered on time and 05-99 to represent packages delivered on time.Step 2: Generate a two-digit random number from the random number table.Step 3: If the generated number falls between 00 and 04, count it as a package not delivered on time. If the generated number falls between 05 and 99, count it as a package delivered on time.Step 4: Repeat steps 2 and 3 until we get a package not delivered on time.The correct option is: Read two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.

Step-by-step explanation:

Answer:

Percent increase = 30%

Step-by-step explanation:

Given that:

Old price of toy = £50

New price of toy = £65

Difference = New price - Old price

Difference = 65 - 50

Difference = £15

Percent increase = \(\frac{Difference}{Old\ price}*100\)

Percent increase = \(\frac{15}{50}*100\)

Percent increase = 0.3 * 100

Percent increase = 30%

Hence,

Percent increase = 30%

Answer:

It equals 140 because angle 5 is 140

Answer:

perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4

Answer:

hi

Step-by-step explanation:

\(7x - 15 + x= 180 \\ 8x = 180 + 15 \\ 8x = 195\\ x = 24.375 \\ x + 28 + 4x - 3 + 24 = 180 \\ 5x = 180 - 28 + 3 - 24 \\ 5x = 131 \\ x = 26.2\)

i think so

hope it helps

have a nice day

Answer:

N = 5

Step-by-step explanation:

Answer:

n=5

Step-by-step explanation:

Answer:

The cost price is Rs. 3332

Step-by-step explanation:

Selling Price = 3,467

Profit = 135

Original Cost,

Since we know that,

Profit = Selling Price - original cost,

so,

Original Cost = Selling Price - Profit

Original Cost = 3467 - 135

Original Cost = 3332

Answer:

Cost price=Rs3,332

Step-by-step explanation:

Selling price=Rs3,467

Profit=Rs135

Cost price=Selling price-Profit

Cost price=3,467-135

Cost price=Rs3,332

Answer:

A rectangle of 10.6 x 11.4 dimensions.

Step-by-step explanation:

(5.3*2)*(5.7*2)=5.3*4*5.7=10.6x11.4.

Step-by-step explanation:

y = x2 + 12x.

x= y2 + 12x           would also be 12 y

y2 = x - 12x               would be -x

y2=-11x  

y=\(\sqrt{-11x}\), for x > 0    negative  square root not possible

Describe the three errors?

The three errors made in finding the inverse of y = x² + 12x are,

⇒ First mistake to write 12y in place of 12x.

⇒ Second mistake to write the expression y² = x - 12x.

⇒ Third mistake because it never possible negative square root for x > 0.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = x² + 12x

Here, The process are,

⇒ y = x² + 12x.

⇒ x = y² + 12x

There is first mistake to write 12y in place of 12x.

⇒ y² = x - 12x

There is second mistake.

⇒ y² = -11x

⇒ y = √-11x, for x > 0

There is third mistake because it never possible negative square root for x > 0.

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As group size increases, the complexity of the group increases (option A).

What is group size?

Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.

As group size increases, the complexity of managing and coordinating the group also increases.

The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.

This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.

Therefore, the correct option is A.

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Answer:

B

Step-by-step explanation:

-(-a)/b = a/b

Option A is not equal to a/b

But Option B is, after cancelling out the negative sign

Answer:

\(\large \boxed{ \mathrm{B.} \ - \frac{a}{-b} }\)

Step-by-step explanation:

\(\displaystyle -\frac{-a}{b} =-(- \frac{a}{b} ) = \frac{a}{b}\)

The first option is not equivalent to a/b.

\(\displaystyle \frac{a}{-b}\neq \frac{a}{b}\)

The second option is equivalent to a/b.

\(\displaystyle -\frac{a}{-b} =\frac{-a}{-b} = \frac{a}{b}\)

The matching word are as follows:- center of dilation - C,corresponding angles - D,dilation - E,scale factor (of a dilation) - A,similar polygons - B respectively.

Corresponding angles are a pair of angles that have the same relative position at the intersection of two lines when one line is crossed by a transversal.

They are located in corresponding (matching) positions in congruent or similar figures, and are congruent if the figures are similar.

center of dilation: C.The fixed point that is parallel to each point on the pre-image and the corresponding point on the picture during a dilatation

corresponding angles: D.a pair of angles in two congruent or similar figures that are in the same relative position

dilation: E. The transformation in which each point on the image lies on the same line as the corresponding point on pre-image and a fixed point called the center of dilation.

scale factor (of a dilation): in a dilation, the constant  rate between the distance from the center of dilation and a point on the image and the distance from the center of dilation and the  matching point on thepre-image

similar polygons: B.two or  further polygons in which corresponding angles are  harmonious and the lengths of corresponding sides are in proportion.

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Answer: y=10

Step-by-step explanation: Divide both sides by 3, then add 5 to both sides. 15/3=5, 5+5=10.

Answer:

y = 10

Step-by-step explanation:

3(y-5) = 15

y - 5 = 5

y = 5 + 5 = 10