Calculate the surface area of the figure:

54ft
198ft
21ft
108ft

Answer:

1320ft

Step-by-step explanation:

1 mile is equal to 5280 feet, divide 5280/4

this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races

Given:

The equation of a line is:

[tex]y-1=4x[/tex]

A line parallel to the above line passes through the point P(2,5).

To find:

The equation of the parallel line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]         ...(i)

Where, m is the slope and b is the y-intercept.

The given equation is:

[tex]y-1=4x[/tex]

It can be rewritten as

[tex]y=4x+1[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=4[/tex]

It means the slope of the given line is 4.

We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.

The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=4(x-2)[/tex]

[tex]y-5=4x-8[/tex]

[tex]y=4x-8+5[/tex]

[tex]y=4x-3[/tex]

Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].

Answer:

65.60

Step-by-step explanation:

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(30−−22)2+(−25−15)2(30--22)2+(-25-15)2

= √522+(−40)2522+(-40)2

= √2704+16002704+1600

= √43044304 = 65.6049

Answer:

Im pretty sure its D.

Step-by-step explanation:

I think it would be option D. Is it considered the subsoil layer

Answer:

i dont know

Step-by-step explanation:

Answer:

-77·√30

Step-by-step explanation:

(-7)·√3·11·√10  =  (-77)·√3·10  =  -77·√30

Answer:Amount of blue paints used to paint bedroom walls=1.48 pints

Step-by-step explanation:

total pints of white paint and blue paint = 7.4 pints

Amount of white paint=4/ 5 x 7.4 pints=5.92pints

Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used

= 7.4 pints-5.92pints

=1.48pints

Answer:

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.

Answer:

the slope of the line​ is 1

Step-by-step explanation:

The line goes  1 up, 1 right, 1 up 1 right ........

1 divided into 1 = 1

Answer:

Strong association between X and Y.

Step-by-step explanation:

I got the question right on the Algebra Nation

Answer:

ok ok, i think it's the last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

It has 3 terms so it is a trinomial.

It can also be called a quadratic.

Answer:

a trinomial.

If that is what ur asking for

Step-by-step explanation:

Answer:

I would say use photomath if you cant find your answer.

Step-by-step explanation:

Answer:

1.91h

Step-by-step explanation:

0.06h+h+0.85h

1.91h

Answer:

The first one asdfghjkfruyctdf

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I don't have an explanation but i know its right!!!

Answer:

$2 is the answer ok no problem

Answer:

Step-by-step explanation:

18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7

Answer:

[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]

Step-by-step explanation:

we are given a logarithm equation

[tex] \displaystyle \log_{4}( {m}^{2} ) = \log_{4}(18 - 7m) [/tex]

notice that, we have [tex]\log_4[/tex] both sides therefore we can get rid of it

[tex] \displaystyle {m}^{2} = 18 - 7m[/tex]

in order to solve it we should make it standard form we know that

[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]

so right hand side expression to left hand side and change its sign:

[tex] \displaystyle {m}^{2} + 7m- 18=0[/tex]

now we can solve it by using factoring method

to do so rewrite the middle term as sum or subtraction of two different terms

in that case -2m+9m is good to use

[tex] \displaystyle {m}^{2} - 2m + 9m - 18 = 0[/tex]

factor out m:

[tex] \displaystyle m({m}^{} - 2 )+ 9m - 18 = 0[/tex]

factor out 9:

[tex] \displaystyle m({m}^{} - 2 )+ 9(m - 2)= 0[/tex]

group:

[tex] \displaystyle (m - 2)(m + 9) = 0[/tex]

hence,

[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]

remember that,

when we deal with logarithm equation we should always check the roots

let's check the root 1:

[tex] \displaystyle \log_{4}( {2}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]

simplify square:

[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]

simplify multiplication:

[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 14) [/tex]

simplify substraction:

[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(4) [/tex]

simplify logarithm:

[tex] \displaystyle 1 \stackrel{ \checkmark}{=} 1[/tex]

let's check root 2:

[tex] \displaystyle \rm \log_{4}( { - 9}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.( - 9)) [/tex]

simplify square:

[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{?}{=} \log_{4}(18 + 63) [/tex]

simplify addition:

[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{ \checkmark}{=} \log_{4}(81) [/tex]

therefore,

[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]

Answer:

1/2

Step-by-step explanation:

type it into the calculator

The value of logarithm log base 4(2 is 1/2.

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

Given:

Rewrite as an equation.

log base 4(2)=x

and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b  are positive real then

log (base b) x= y equivalent to [tex]b^y[/tex] = x

Create expressions in the equation that all have equal bases.

log base 4(2)=x

[tex](2^2)^x[/tex] = 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2x = 1

x= 1/2.

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Answer:

Mean: 4

Mode: 4

Median: 6

Range: 5

Step-by-step explanation:

Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Mode: Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

Answer:

13+4=17

Step-by-step explanation:

The required ladder reaches approximately 12.37 feet up the wall.

The Pythagorean theorem is a fundamental theorem in geometry that describes the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In algebraic terms, the Pythagorean theorem can be written as:

a² + b² = c²

where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.

Here,
We can use the Pythagorean theorem to solve this problem. Let's denote the distance from the bottom of the wall to where the ladder reaches the wall as h. Then we have,

h² + 4² = 13²

h² + 16 = 169

h² = 153

h ≈ 12.37

Therefore, the ladder reaches approximately 12.37 feet up the wall.

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The length of line height BC according to the given parameter is; 14√2.

It follows from the task content that the base edge length of the pyramid is 14 units.

On this note, it follows that length of the segment BC is given by Pythagoras theorem as;

BC² = 14² + 14²

BC = 14√2.

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Answer:

D. 14StartRoot 2 EndRoot units

Step-by-step explanation:

Edge

Answer:

35 members

Step-by-step explanation:

In a tennis club the ratio number of junior members : number of senior members is 7 : 10

From the above ratio

Number of junior member = 7

Number of senior members = 10

There are 18 more senior members than junior members.

S = 18 + j

10 + 18 = 28 senior members

Hence,

Total number of members = 28 senior members + 7 junior members

= 35 members

Answer:

50 students from each grade

Step-by-step explanation:

If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes

Also 50 is easily divisible by 750

Therefore the above represent the answer

Answer:

2560 J

Step-by-step explanation:

mv^2/2

80(8)^2/2

2560 J

Answer:

Step-by-step explanation:

Given function:

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

Vertex of the given function is:

b.

Cost at vertex is:

Answer:

(y+6)(y-1)

Step-by-step explanation:

literally factorising.

y^2 x -6 = -6y^2

u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.

Answer:

p = 6, q = - 1 , or p = - 1, q = 6

Step-by-step explanation:

Factorise the quadratic expression on the left side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1 , since

6 × - 1 = - 6 and 6 - 1 = + 5 , then

y² + 5y - 6

= (y + 6)(y - 1) = (y - 1)(y + 6)

Compare to (y + p)(y + q) , then

p = 6, q = - 1 or p = - 1, q = 6

Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39

Step-by-step explanation:

Answer:

A. the $5 off coupon

Step-by-step explanation:

10% off would only be 2.99 off the bill making it 26.91 but the $5 would take off more

The coupon I would use to save the most amount of money on the total bill is my friend's coupon worth $5.

Coupons reduce the price of an item. An item becomes cheaper after a coupon has been used. In order to determine the better coupon, calculate the price after each coupon has been used.

Coupon 1 : 10% x 29.9 = $3

Coupon 2 : 29.90 - $5 = $24.90

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