MATHEMATICS COLLEGE

A point travels East 3 spaces and South 8 spaces.Write the description in algebraic terms.

Answers

Answer 1

Answer:

Answer:

A point travels East 3 spaces and South 8 spaces.

Algebraic equation

$P'(x,y) = (x+3, y-8)$

Step-by-step explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:

$P'(x,y) =P(x,y) +T(x,y)$ (1)

Where:

$P(x,y)$ - Initial position of the traveller, dimensionless.

$T(x,y)$ - Translation vector, dimensionless.

$P'(x,y)$ - Final position of the traveller, dimensionless.

Let suppose that $y > 0$ represents the number of steps to the north, and $x> 0$ , the number of steps to the east.

If we know that $P(x,y) =(x,y)$ and $T(x,y) = (3, -8)$ , then the resulting equation is:

$P'(x,y) = (x,y) +(3,-8)$

$P'(x,y) = (x+3, y-8)$

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A cell phone company charges $15 for 120 minutes. What is the cost per minute? Round to the nearest cent.

Answers

Answer: The cost per minute is $0.13 or 13 cents.

Step-by-step explanation:

If it charges $15 for 120 minutes then to get to one minute we will have to divide it by 120.

so 15/120 = 0.125 which rounds to 0.13 to the nearest cent.

Answer:

Step-by-step explanation:

The Punic Wars had the GREATEST impact on the expansion ofes )
A)
the Roman Empire.
B)
the Roman Republic.
Egypt's "New Kingdom."
D)
Alexander the Great's Empire.
Submit

Answers

Answer:

it b 100%

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the surface area of the square pyramid represented by the net? Enter your answer in the box. cm² An unfolded square base pyramid with sides of the base being seven centimeters and the length from the base to the tip is nine centimeters.

Answers

The surface area of the square pyramid represented by the net is 175 cm².

Given is a net of the square pyramid.

A square pyramid has the base of the pyramid being the square and four triangular lateral faces.

Given that,

An unfolded square base pyramid with sides of the base being seven centimeters and the length from the base to the tip is nine centimeters.

Base length, a = 7 cm

Slant height of the pyramid, l = 9 cm

Surface area = a² + 2al

= 7² + (2 × 7 × 9)

= 49 + 126

= 175 cm²

Learn more about Surface Area here :

brainly.com/question/29298005

#SPJ2

Area of the base = 7 x 7 = 49 cm²

Area of the 4 triangles = 4 x [ 1/2 x 7 x 9]
Area of the 4 triangles = 4 x 31.5
Area of the 4 triangles = 126 cm²

Total Surface Area = 49 + 126 = 175 cm²

Answer: Total Surface Area = 175 cm²

Luis is doing his math homework. He has 30 problems in all. After an hour, he only has 1/6 of those problems left. How many problems does he have left?

Answers

Answer:

$\huge\boxed{5}$

Step-by-step explanation:

Luis has 30 problems and after one hour, $(1)/(6)$ of those problems are left. This means that the total number of problems left will be $30 \cdot (1)/(6)$ .

Multiplying by a fraction is the same as dividing by a whole. The denominator of $(1)/(6)$ is 6, so we can divide 30 by 6.

$30 / 6 = 5$

Hope this helped!

Answer: 25

Step-by-step explanation: 1/6 of 30 is 5, so 30 minus 5 equals 25.

Find the numerical value of the log expression HELP PLS

Answers

The value of $\rm{log\ 10^(19)$ is 19.

Logarithm

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c=b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

$\rm{log\ 1000 = 3$

Given to us

log a = 3,

log b = 4,

log c = -1,

Logarithm Values

log a = 3

$10^3 = a\n1000 = a\na=1000$

lob b = 4,

$10^4=b\n10000=b\nb=10,000$

log c = -1,

$10^(-1) = c\n\n(1)/(10) = c\n\nc = 0.1$

Simplifying

$\rm{log(b^7)/(a^5c^6)\n$

$=\rm{log(10,000^7)/(1,000^5* 0.1^6)\n$

$=\rm{log 10^(19)$

Hence, the value of $\rm{log\ 10^(19)$ is 19.

Answer:

Step-by-step explanation:

Given:

$(b^7)/(a^5c^6)$

log a = 3,

log b = 4,

log c = -1

Required:

Numerical value of the log expression

SOLUTION:

To solve this, we need to recall the rules to apply in each step:

$(b^7)/(a^5c^6)$

Step 1: Apply log of quotients => i.e. $log (a)/(b) = log(a) - log(b)$

$log(b^7) - (log(a^5c^6))$

Step 2: Apply log of products. i.e. log ab = log a + log b.

$log(b^7) - (log(a^5) + log(c^6))$

Step 3: Apply log of exponents. i.e. $log(a^n) = nlog(a)$ .

$7log(b) - (5log(a) + 6log(c))$

Step 4: Substitute log a = 3, log b = 4, log c = -1, into the equation.

$7(4) - (5(3) + 6(-1))$ .

$28 - (15 - 6)$ .

$28 - 9$ .

$= 19$ .

Which is the equation of an ellipse centered at the origin with foci on x-axis, x-intercepts +7, -7 and y-intercepts +2, -2?

Answers

we know that
foci on x-axis-------> is a ellipse with horizontal major axis

the equation is
(x²/a²)+(y²/b²)=1

major axis is the x-axis with length 2a
2a=14--------> a=7

minor axis is the y-axis with length 2b
2b=4-----> b=2

the equation is
(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1

the answer is
(x²/49)+(y²/4)=1

see the attached figure

Answer:

It's B on edge.

Step-by-step explanation:

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