A furniture delivery truck leaves the store at 8 A.M. It travels 6 miles east, then 4 miles south, then 2 miles west and then 4 miles north.
At the end of this route, how far is the truck from the store?

The perimeter of window is 28 feet

Answer:

Area of triangles 1 = 18 ft²

Area of triangles 2 = 16 in²

Area of triangles 3 = 90 yd²

Step-by-step explanation:

Given:

1] Height of triangle = 4 ft

Base of triangle = 9 ft

2] Height of triangle = 4 in

Base of triangle = 8 in

3] Height of triangle = 12 yd

Base of triangle = 15 yd

Find:

Area of triangles

Computation:

Area of triangles = (1/2)(Base)(Height)

Area of triangles 1 = (1/2)(4)(9)

Area of triangles 1 = 18 ft²

Area of triangles 2 = (1/2)(4)(8)

Area of triangles 2 = 16 in²

Area of triangles 3 = (1/2)(12)(15)

Area of triangles 3 = 90 yd²

Answer:

The equation for the curve is:

[tex]f(x) = 7*e^{2*x}[/tex]

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

[tex]f(x) = A*e^{k*x}[/tex]

Replacing that in the second equation, we get:

[tex]k*A*e^{k*x} = 2*A*e^{k*x}[/tex]

From that equation, we can conclude that k = 2

Then:

[tex]f(x) = A*e^{2*x}[/tex]

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

[tex]f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A[/tex]

Then we can conclude that the equation for the curve is:

[tex]f(x) = 7*e^{2*x}[/tex]

Answer:

what do u want exactly or it us a theorem

Answer  

Step-by-step explanation:

0-10

A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.

The probability of getting 5 on spinner is 0.25.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, on the spinner there are four numbers {3, 4, 5, 6}.

Number of favorable outcomes = 1

Total number of outcomes = 4

So, P(5) = 1/4

= 0.25

Therefore, the probability of getting 5 on spinner is 0.25.

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Answer:

hi please upload the photo so we can help :)

Answer:

A:12p^3r and D:54p^3

Step-by-step explanation:

72/360 = x/10pi

1/5 = x/10pi

x = 2pi

6.3 cm

Answer:

A. Qualitative - Column chart

Step-by-step explanation:

Data could either be qualitative or quantitative. Quantitative data are usually given in a definite number, i.e it can be counted. While qualitative deals with characteristics, i.e it can be collected either by the use of questionnaires, or any similar method.

Therefore for the given question, the data survey is qualitative. And since the result would be presented as a graph showing the percentage users for each application, a column chart would be appropriate.

Thus for the data and its presentation, the answer is A. Quantitative - Column chart

9514 1404 393

Answer:

Step-by-step explanation:

The standard form equation for a circle of radius r and center (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

For radius 3 and center (3, 5), this is ...

  (x -3)^2 +(y -5)^2 = 9 . . . . standard form equation

Expanding this and subtracting the constant on the right gives ...

  x^2 -6x +9 +y^2 -10y +25 -9 = 0

  x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation

Answer:

IGJ=90-38

=52

answer is option c

Answer:

Hello! answer: 84

Step-by-step explanation:

This is 360 degrees therefore 84 is the answer

84 + 84 + 96 + 96 = 360 degrees

Answer:

CU=-3(5,-12)

CU=36-15

CU=21

The answer is A=21

Answer:

[tex]=21[/tex]

Correct option is A

Step-by-step explanation:

[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]

Answer:

Mean number of holidays taken =26.6

Step-by-step explanation:

To find the mean,

We use Σfx/Σf

Σfx =150+234+189+84+0+60

=717

Σf= 6+9+7+3+0+2

=27

Σfx/Σf= 717/27

26.6

Answer:

72°

Step-by-step explanation:

360/5 = 72

Answer:

no solution

Step-by-step explanation:

__________

There are ''infinite number of solutions'' does this linear system have.

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

Given that;

Linear systems are,

⇒ y = -1/2x + 4  ... (i)

⇒ x + 2y = 8  .. (ii)

Now, From equation (ii);

⇒ x + 2y = 8

⇒ 2y = - x + 8

⇒ y = - 1/2x + 4

Which is same as equation (i).

Hence, There are infinite number of solutions does this linear system have.

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Step-by-step explanation:

-8=6x-1

You will move the-8 to the right hand side which will become +8 and then you move+6x to the right hand side which will become -6x

-6x=-1+8

-6x=7

You will divide both sides by-6

-6x/-6=7/-6

x=7/-6

Answer:

yes that's correct

Step-by-step explanation:

let's say a question was given with the base of a triangle as 5cm and the height triangle as 8cm.

you will go by

solution

area = 1/2 * b * h

area = 1/2 (5 * 8)

area = 1/2 (40)

area = 20cm²

hope this helps

Answer:

Number is 36

Step-by-step explanation:

Let the number be x

one half  of the number is  [tex]\frac{1}{2} x[/tex]

6 subtracted from one half is 12, That is,

                                                             [tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]

Answer:

The answer is "272.02 ".

Step-by-step explanation:

Please find the complete solution in the attached file.

Answer:

2^26

Step-by-step explanation:

For a true - false examination ; number of options or possible outcomes = 2

Number of questions = 26

Using the counting principle ; the number of elements in the sample space ;

(2 * 2 * 2 *... * 2) for the entire 26 questions

This is equivalent to : 2^26

2^26 = 67108864

Answer:

there are no real number solutions

Step-by-step explanation:

2x² + 8 = 0

x² + 4 = 0

x² = -4

these solutions all involve "i", the imaginary or complex numbers, as normally the square of any number has to be positive (and cannot be negative).

Answer:

x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)

Step-by-step explanation:

Factor each equation.

x^2-x-42= (x-7)(x+6)

x^2+x-56= (x-7)(x+8)

The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.

(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.

Answer:

Step-by-step explanation:

Given,

Sides of a square is = 7 + 3x

Therefore,

Perimeter of a square = 4 × side

= 4 × (7 + 3x )

= 28 + 12x (Ans)

Answer:

15/240 = 5/80= 1:16. helpful answer

Answer:

1+4=60

5=60

60/5

12#

Step-by-step explanation:

or,let it be X

1x+4x=60

5x=60

X=60/5

there fore

X=12#

Answer:

5

Step-by-step explanation: