Question 5 of 12, Step 1 of 1
Correct
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Joan has $5.40 worth of change in nickels and dimes. If she has 4 times as many nickels as dimes, how many of each type of coin does she have?

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

Answer:

Step-by-step explanation:

We know that the coin has 2 sides, which is tails and heads.

the total number of options is 2. whereas if tails or heads, 1 options

For tails:

[tex](\frac{1}{2}) *n[/tex]

[tex]\frac{n}{2}[/tex]

For heads:

[tex](\frac{1}{2} ) * n[/tex]

[tex]\frac{n}{2}[/tex]

If he does this in a row and expects 1 head and tail:

[tex]\frac{n}{2} * \frac{n}{2}[/tex]

[tex]\frac{n^{2} }{4}[/tex]

Answer:

Depends on the amount of the original salary

Step-by-step explanation:

but here is your equation

x(1.0245)^5

Answer:

Steps to find the equation of a line from two points:

Find the slope using the slope formula

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Step-by-step explanation:

Well this is my way lol

mark brainliest if u want to cuz i need 5 more :)

Answer:

Step-by-step explanation:

You usually need to find the slope first.

When you have more than two points, you use the slope-intercept formula.

When you have one point and a slope, you use point-slope formula.

Hope this helps!

Answer:

± 189

Step-by-step explanation:

let the number be x then multiplied by itself is x² , so

x² = 567 × 63 = 35721 ( take the square root of both sides )

x = ± [tex]\sqrt{35721}[/tex] = ± 189

The number can be 189 or - 189

The value of the certain number  is mathematically given as

x=17860.5

Question Parameters:

Certain number which when multiplied by itself gives the same value as 567×63​

Generally the equation for the statement   is mathematically given as

x*x=567×63​

Therefore

2x=567×63​

x=17860.5

For more information on Arithmetic

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Hi!

55<35+10x

Move 35 to the left, using the opposite operation:

55-35<10x

20<10x

Divide both sides by 10:

2<x

Since 2 is greater than x, x is less than 2:

x<2 (Answer)

Hope it helps!

Enjoy your day!

~Misty~

Answer:

2x +2y= 123, or

8a +2x +2y= 191

Step-by-step explanation:

Perimeter of rectangle= 2(length) +2(width)

Let the length and the width of the picture be x and y respectively.

Perimeter of the picture= 2x +2y

2x +2y= 123 -----(1)

Let the width of the border be a.

Length of picture frame= a +x +a= 2a +x

Width of the picture frame= a +y +a= 2a +y

Outer perimeter of the frame= 191

2(2a +x) +2(2a +y)= 191

Expand:

4a +2x +4a +2y= 191

8a +2x +2y= 191 -----(2)

Substitute (1) into (2):

8a +123= 191

8a= 191 -123

8a= 68

a= 68 ÷8

a= 8.5 cm

Thus the width of the border is 8.5 cm.

Answer:

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

Consider the sum of the measures of the exterior angles for an n -gon.

N=180n−180(n−2)

Distribute 180 .

N=180n−180n+360 =360.

Step-by-step explanation:

Answer:

-4x - 17y + 12

Step-by-step explanation:

I combined like terms

-3x + 5y - 10x - 14y+4+9 -8y + 9x - 1

= -4x - 17y + 12

Answer:

the quotient of 9 and 14

= [tex]\frac{9}{14}[/tex]

Answer:

the answer is 9 upon 14 (⁹/14)

The fraction of the box of pancake that eliza used is; 1/8.

We are told that the box of pancake mix has 6 cups.

Now, Eliza uses 3/4 of a cup for a recipe.

Since there are 6 cups in the box, it means the fraction of the box of pancake that Eliza used is;

(3/4)/6 = 3/24 = 1/8

In conclusion, the fraction of the box of pancake that eliza used is 1/8.

Read more about fractions at; https://brainly.com/question/122227

Check the picture below.

We can conclude that -

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

Given is a parallelogram ABCD.

Now, we can state that -

∠A = ∠C

(y + 10) = (2y - 40)

y + 10 = 2y - 40

y = 50

{Opposite angles are congruent}

(4x) + (2y - 40) = 180

4x = 180 - 60

4x = 120

x = 30

{Consecutive angles are supplementary}

Therefore, we can conclude that -

To solve more questions on triangles and parallelogram, visit the link below -

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#SPJ2

Answer:

one post id plenty!

Step-by-step explanation:

sorry if wrong

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

Recall the Law of Cosines

[tex]a^2=b^2+c^2-2bc\cdot cos(A)[/tex]

Identify angles and sides

[tex]m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6[/tex]

Solve for side "a"

[tex]a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2[/tex]

Therefore, the length of line segment BC is about 8.2 units

Answer:

the answer is 8.2 units

Step-by-step explanation:

wait wait wait change my mind change my mind ill take champ back you didnt say nothin bout it meanin brave

Answer:

10 + (8 - 4)2 ÷ 2

= 14

Step-by-step explanation:

By using P.E.M.D.A.S you can get the answer you are looking for.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

In this situation you would do what's inside the parentheses, then divide, then multiply then add.

10 + (8 - 4)2 ÷ 2

10 + 4 × 1

10 + 4 = 14

Function represent relationship between variables. The value of f[g(x)] when f(x) = 7x+13  and g(x) = x+2 is 7x+27.

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

f(x) = 7x+13

g(x) = x+2

In order to find the value of f[g(x)], we will substitute the value of g(x) at the place of x in f(x).

[tex]f[g(x)] = 7(x+2)+13 \\\\ f[g(x)] = 7x+14+13 \\\\ f[g(x)] = 7x + 27[/tex]

Hence, the value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.

Learn more about Functions:

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Answer:

10.8 on hostas

Step-by-step explanation:

I don't know exact answer

The relationship between p(n) and n is given by p(n) = 0.0005n

An equation is an expression used to show the relationship between two or more numbers and variables.

Let p represent the weight in pounds and n represent the weight in tons.

1 pound = 0.0005 ton, hence:

p(n) = 0.0005n

The relationship between p(n) and n is given by p(n) = 0.0005n

Find out more on Equation at: https://brainly.com/question/13763238

Answer:

it could be 1.5 or 1

Step-by-step explanation:

because 1.5 times 2 is 3 and 1 times 2 equals 2

please mark brainliest if it helped

Answer:

No, it can exceed 3

Step-by-step explanation:

the variable could be anything from 600 to 600 million and when you double it's only going to get bigger.

Answer:

∠e and ∠a

Step-by-step explanation:

-Chetan K

Answer:

Answer:

>

Step-by-step explanation:

|-4| = 4

-|4| = -4

Breaking down this problem above, we know the absolute value of 4 is 4. Multiply that by -1, you get -4

Now, plugging in these answers, we have...

4 ___ -4

4 is greater than -4, so you put >

Answer:

C:no the first expression is equal to 1/25 and the second expression is equal to 625

Step-by-step explanation:

if you do  in the calculator it will give you 0.04(wich is ecual to 1/25)

and the second one is 5^3 (which is 125) *5 = 625

Answer:

b = 16.5; 13; 9.5; 6; 2.5

Step-by-step explanation:

Subscribe the given information to get an Answer.

b = 39 / 2 - 3 = 16.5

b = 32 / 2 - 3 = 13

b = 25 / 2 - 3 = 9.5

b = 18 / 2 - 3 = 6

b = 11 / 2 - 3 = 2.5

Hi!

I can help you with joy! :)

Let's solve this equation to find the value of k.

0-k=-4

-k=4-0

-k=4

Divide both sides by -1:

k=-4 (Answer)

I hope it helps!

Enjoy your day!

~Misty~

[tex]\bf{GracefulGirlies[/tex]

[tex]\bold{Heya~!}[/tex]

[tex]\underline{\large\huge{\mathfrak{Answer~:}}}}[/tex]

[tex]\sf{k~=~4}[/tex]

[tex]\huge{\boxed {\mathfrak{explanation:}}[/tex]

[tex]\sf{0~-~k~=~-4}[/tex]

[tex]\sf{0~-~k~=~-k}[/tex]

[tex]\sf{-k~=~-4}[/tex]

[tex]\sf{Divide~both~sides~by~-1}[/tex]

[tex]\sf{\frac{-k}{-1}~=~\frac{-4}{-1}[/tex]

[tex]\sf{Simplify:}[/tex]

[tex]\sf{k~=~4}[/tex]

Hope It Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer~:}[/tex]

Jace ~

Let years be x

[tex]\\ \tt\hookrightarrow 130.41-1.61x=70.84[/tex]

[tex]\\ \tt\hookrightarrow 1.61x=130.41-70.84[/tex]

[tex]\\ \tt\hookrightarrow 1.61x=59.57[/tex]

[tex]\\ \tt\hookrightarrow x=59.57/1.61[/tex]

[tex]\\ \tt\hookrightarrow x=37years[/tex]

[tex] \: \: [/tex]

[tex] \: \: \: [/tex]

[tex] \: \: \: [/tex]

[tex] \: \: \: [/tex]

The value of the expression, 5x^2 - 4, when x = 2 is: 16.

To find the value of an expression, plug in the given value of the variable and solve by simplifying.

Given the expression, 5x^2 - 4, when x = 2, we would have:

5(2)^2 - 4

5(4) - 4

20 - 4

= 16

Therefore, the value of the expression, 5x^2 - 4, when x = 2 is: 16.

Learn more about value of expression on:

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Answer:

0.6 or 40/1

Step-by-step explanation:

Oki 5/7 x 8/9 = 40/63 = 0.63 Do you mean like this way or the other ?

5/7 x 9 = 45/63 and 8/9 x 7 = 56/63 x 45\63 = 2520\63 = 40/1

Hope that this will help you.

Answer: R= 6.15

Step-by-step explanation:

i did it on a piece of paper