How do I find where my potato chip went

Answer:

36

Step-by-step explanation:

USE PYTHOGORAS THEOREM

A²=C²-B²

C²=3600

B²=2304

3600-2304=1296

√1296=36

hope it helps

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Answer:

8x +11y = 37 ---------(1)

_8x±y=_7 ----------(2)

-------------------

o+10y=30

Y=3

PUT  Y IN EQ 2

8X+3=7

8X=7-3=4

X=1/2

Ans

I hope this Ans is helpful for you

Step-by-step explanation:

Answer:

The magnitude of vector is:

[tex]\left|\begin{pmatrix}5&-6\end{pmatrix}\right|=\sqrt{61}[/tex]

v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6>  is heading towards SE.

Thus, option ( j ) is correct.

i.e.  [tex]\sqrt{61},\:SE[/tex]

Step-by-step explanation:

Given the vector

v = <5, -6>

Determining the magnitude of the vector

To find a magnitude of a vector v = (a, b) we use the formula

[tex]||v||\:=\:\sqrt{a^2+b^2}[/tex]

Magnitude of the vector is basically termed as the length of the vector, which is denoted by

[tex]|\left(5,\:-6\right)|=\sqrt{\left(5\right)^2+\left(-6\right)^2}[/tex]

            [tex]=\sqrt{5^2+6^2}[/tex]

             [tex]=\sqrt{25+36}[/tex]

             [tex]=\sqrt{61}[/tex]

Thus, the magnitude of vector is:

[tex]\left|\begin{pmatrix}5&-6\end{pmatrix}\right|=\sqrt{61}[/tex]

As the vector v = <5, -6> lies in 4th quadrant.

v = <5, -6> means the vector has x-coordinate x = 5 and y-coordinate y = -6, so the vector v = <5, -6>  is heading towards SE.

Thus, option ( j ) is correct.

i.e.  [tex]\sqrt{61},\:SE[/tex]

Answer:

We obtained the two exponential functions:

Step-by-step explanation:

As we know that the exponential function is of the form

f(x) = abˣ

Given the points

We know these points belong to the exponential function.

so substituting the values (3, 7) and (5, 63) in the function

putting (3, 7)

y = abˣ  

7 = ab³

also putting (5, 63)

y = abˣ

63 = ab⁵

Considering the 2nd equation

63 = ab⁵

as

[tex]a^b\times \:a^c=a^{b+c}[/tex]

so

63 = ab³×b²  

substituting 7 = ab³ in 63 = ab³×b²  

63 = 7 × b²

b² = 63/7

b² = 9

b = ± 3

If b = 3

plug in b = 3 in the equation 7 = ab³ to find the value 'a'

7 = ab³

7 = a(3)³

7 = a × 27

a = 7/27

so, a = 7/27 and b = 3 would give us the function

y = abˣ

[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex]

if b = -3

plug in b = -3 in the equation 7 = ab³ to find the value 'a'

[tex]\:7\:=\:a\left(-3\right)^3[/tex]

[tex]a\left(-27\right)=7[/tex]

[tex]a=-\frac{7}{27}[/tex]

so, a = -7/27 and b = -3 would give us the function

y = abˣ

[tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]

Thus, we obtained the two exponential functions:

Proof (reasons are given in brackets):

Consider [tex]\triangle ABC[/tex], [tex]\triangle EDC[/tex]:

[tex]\overline B \overline C = \overline D \overline C[/tex] (given)

[tex]\angle BCA = \angle DCE[/tex] (vertically opposite angles are equal)

[tex]\overline A \overline C = \overline E \overline C[/tex] (given)

[tex]\therefore \triangle ABC \cong \triangle EDC[/tex] (SAS)

Hope this helps :)

Answer:

Step-by-step explanation:

Given

[tex]y = \frac{1}{6}x + 60[/tex]

Required

Interpret the slope and y intercept

The general form of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m=slope[/tex]

[tex]b = y\ intercept[/tex]

By comparison

[tex]m = \frac{1}{6}[/tex]

[tex]b = 60[/tex]

Interpretation:

Slope represents rate and y intercept represents the number of chirps at time 0.

So, the interpretations are:

Slope: The cricket chirps at a rate of [tex]\frac{1}{6}[/tex] chirps per minute

y intercept: The initial number of chirps is 60

Answer:

true

Step-by-step explanation:

True is the answer

i hope this helps you

Please mark me as brainliest

Thanks!!

I think it's B

Not 100% sure but I think

Answer:

136

Step-by-step explanation:

20% * 680

Cheers! :)

Answer:

she did not get at least 2100 and definitely not 85% of the worth

Step-by-step explanation:

3000*0.85=2550

3000*0.7=2100

Answer:

Gia hoped to sell it for $2,550, but wanted at least $2,100. Because it sold for $1,800, she did not get what she hoped and/or wanted.

Step-by-step explanation:

85% of $3,000 can be solved by moving the decimal two places to the left and multiplying: 85.0% becomes 0.85. So, we multiply 0.85x3,000=$2,550.

We do the same thing to figure out 70% of $3,000. Again, solving it by moving the decimal two places to the left and multiplying: 70.0% becomes 0.70. So, we multiply 0.70x3,000=$2,100.

Answer:

6800

Step-by-step explanation:

9514 1404 393

Answer:

  $1400

Step-by-step explanation:

Let x represent the amount borrowed from Bank 1. For each loan, the interest is given by I=Prt, where P is the principal borrowed at rate r for t years.

Then the total interest over 3 years is ...

  3(4.3%·x +5.9%(5400 -x)) = 888.60

  -1.6%·x +318.60 = 296.20 . . . . . . . . . . . divide by 3, simplify

  -1.6%·x = -22.40 . . . . . . . . . . . subtract 318.60

  x = 22.40/0.016 = 1400

The student borrowed $1400 from Bank 1.

Answer:

y=5x and y=40 when x=8

Answer:

y = 5x

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 2

10 = 2k ( divide both sides by 2 )

5 = k

y = 5x ← equation of variation

Answer:

that answer is 47/20

Step-by-step explanation:

52-5=47

20-20=20

52/20-5/20=47/20

Answer:

50/20-5÷20=2.35

Step-by-step explanation:

I used a calculator i hope it helps : )

Answer:7th

Step-by-step explanation:

Answer:

2(x+3)(2x-1)

Step-by-step explanation:

Answer:

Objects

Step-by-step explanation:

Normally, we make use of reciprocal pronouns in cases where each of two or more subjects are acting in the same manner towards one another. For example, X is talking to Y, and Y is talking to Z.

Thus, the subjects in question must be the same objects for them to be able to relate in the same way.

Answer:objects

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Step-by-step explanation:

When the inequality uses < or >, it is a broken line.

For the point (0, 0) it means that x = 0 and y = 0.

Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.

Yes, the point (0,0) is part of the solution of y < - x² + 4x + 5.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To determine the border line of the graph of y < - x² + 4x + 5

A broken line results from the inequality using < or >.

x and y are both equal to zero at the coordinates (0, 0).

Substitute the values of x = 0 nad y = 0 in the inequality  y < - x² + 4x + 5

So, (0) < (0)² + 4(0) + 5

Since (0) < (0)² + 4(0) + 5 is valid,

Thus, the coordinates (0, 0) are part of the solution.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer

925 students brought their lunch.

Explanation

First let's rewrite the equation.

You know that "of" means multiply and "is" means equal.

Okay, so let's break it down.

The question says, "At your school, 74% of students brought their lunch at the cafeteria. There are 1250 students in the school."

This means that 74% of 1250 students brought their lunch at the cafeteria.

You are trying to find how many students brought their lunch. This will be x.

So the equation would be this.

74% × 1250 = x

74% is 0.74.

0.74 × 1250 = x

0.74 × 1250 = 925

So 925 students brought their lunch.

minimum value: 1

lower quartile: 3

median of the data: 6

upper quartile: 8

maximum value: 14

Sorry for the late answer, i hope this will help you in the future and everyone else who reads this.

Answer:

The coordinates of the dillated vertices are [tex]A'(x,y) = (2,2)[/tex], [tex]B'(x,y) = (4,4)[/tex], [tex]C'(x,y) = (8,2)[/tex] and [tex]D'(x,y) = (4,-2)[/tex].

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation, dimensionless.

[tex]P(x,y)[/tex] - Original point, dimensionless.

[tex]k[/tex] - Scale factor, dimensionless.

[tex]P'(x,y)[/tex] - Dilated point, dimensionless.

If we know that [tex]O(x,y) = (0, 0)[/tex], [tex]k = 2[/tex], [tex]A(x,y) = (1,1)[/tex], [tex]B(x,y) = (2,2)[/tex], [tex]C(x,y) = (4,1)[/tex] and [tex]D(x,y) = (2,-1)[/tex], then the dilated points are, respectively:

Point A

[tex]A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)][/tex] (2)

[tex]A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)][/tex]

[tex]A'(x,y) = (2,2)[/tex]

Point B

[tex]B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)][/tex] (3)

[tex]B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)][/tex]

[tex]B'(x,y) = (4,4)[/tex]

Point C

[tex]C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)][/tex]

[tex]C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)][/tex]

[tex]C'(x,y) = (8,2)[/tex]

Point D

[tex]D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)][/tex]

[tex]D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)][/tex]

[tex]D'(x,y) = (4,-2)[/tex]

The coordinates of the dillated vertices are [tex]A'(x,y) = (2,2)[/tex], [tex]B'(x,y) = (4,4)[/tex], [tex]C'(x,y) = (8,2)[/tex] and [tex]D'(x,y) = (4,-2)[/tex].

Answer:

x=2

Hope I helped

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

Answer:

That would be 38.4.

Answer:

50

Step-by-step explanation:

20/2=10

so this means 10 bottles per day

so there is 5 days

5 x 10 = 50

:)

Answer:

The answer to the  missing spot in the ratio is the number 50.

Step-by-step explanation:

10x5= 50

hope this helps :)