Please help me. These are very confusing.
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Answer:

Bonnie needs [tex]67.8\ in[/tex] of ribbon

Step-by-step explanation:

we know that

A Kite is a quadrilateral that has two pairs of equal sides

so

To find out how much ribbon Bonnie needs calculate the perimeter of the kite

[tex]P=2(L1+L2)[/tex]

where

L1 is the length of one side

L2 is the length of the other side

[tex]P=2(13.2+20.7)=67.8\ in[/tex]

Answer:

  0.148623∠321.93°

Step-by-step explanation:

You can work these without too much brain work by converting the coordinates to rectangular coordinates, adding those, then converting back to a vector length and angle as may be required.

  0.111∠90° + 0.234∠300° = 0.111(cos(90°), sin(90°)) +0.234(cos(300°), sin(300°))

  = (0, 0.111) + (0.117, -0.2026499) = (0.117, -0.0916499)

The magnitude of this is found using the Pythagorean theorem:

  |E+F| = √(0.117² +(-0.0916499)²)  ≈ 0.148623

The angle can be found using the arctangent function, paying attention to the quadrant. This sum vector has a positive x-coordinate and a negative y-coordinate, so is in the 4th quadrant.

  ∠(E+F) = arctan(y/x) = arctan(-0.0916499/0.117) ≈ -38.07° = 321.93°

The vector sum is E+F = 0.148623∠321.93°.

__

You can also draw the triangle that has these vectors nose-to-tail and find the magnitude of the sum using the Law of Cosines. The two sides of the triangle are the lengths of the given vectors and the angle between those can be seen to be 30°. Then the length of the 3rd side of the triangle is ...

  |E+F|² = |E|² +|F|² -2·|E|·|F|·cos(30°) = .012321 +.054756 -.044988 = 0.0220887

  |E+F| = √0.0220887 ≈ 0.148623

The direction of the vector sum can be figured from the direction of vector E and the internal angle of the triangle between vector E and the sum vector. That angle can be found from the law of sines to be ...

  (angle of interest) = arcsin(sin(30°)·|F|/|E+F|) = 128.07°

Then the angle of the vector sum is 450° -128.07° = 321.93°.

A diagram is very helpful for keeping all of the angles straight.

  |E+F| = 0.148623∠321.93°

The answer is 40 shirts.

Explanation

Equation: y= ((616-(14*12))/16)+12

First, multiply the 12*14 because we know that 12 shirts were $14. You'll get $168. Next, subtract that from 616, the total number of dollars, to get the 12 shirts out of the way. Your answer will be $448. Then, divide by 16 because that's the remaining money that was spent on the $16 shirts. You'll get 28 shirts. However, we can't forget about the dozen $14 shirts, so add 12 to your answer and you get 40 shirts.

The value of the expression [tex]\rm { log _3 5}\times{log_{25} 9}[/tex] is 1

According to the law of base change

[tex]\rm \log _b a = \dfrac{ log _d b}{log_d a}[/tex]

The given expression is

[tex]\rm { log _3 5}\times{log_{25} 9}[/tex]

This can be written as

[tex]\rm \rm { log _3 5}\times{log_{25} 9} = \dfrac{ log _{10} 5 *log _{10} 9 }{log_{10} 3*log _{10}25}[/tex]

[tex]\rm \rm { log _3 5}\times{log_{25} 9} = \dfrac{ log _{10} 5 *log _{10} 3^2 }{log_{10} 3*log _{10}5^2}[/tex]

[tex]\rm \rm { log _3 5}\times{log_{25} 9} = \dfrac{ log _{10} 5 *2log _{10} 3 }{log_{10} 3* 2 log _{10}5}[/tex]

On solving this the value of the expression [tex]\rm { log _3 5}\times{log_{25} 9}[/tex] is 1

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Answer:

Step-by-step explanation:

Answer:

  f(x) = 4^x -3

Step-by-step explanation:

All of the listed functions are linear functions with a constant slope of 4. None of them goes through the point (0, -2).

__

So, we assume that there is a missing exponentiation operator, and that these are supposed to be exponential functions. If the horizontal asymptote is -3, then there is only one answer choice that makes any sense:

  f(x) = 4^x -3

_____

The minimum value of 4^z for any z will be near zero. In order to make it be near -3, 3 must be subtracted from the exponential term.

Answer:

$1.45

Step-by-step explanation:

The cost of a dozen doughnuts in 1970 is $1.44.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

To calculate the cost of a dozen doughnuts in 1970 we have to know the percentage increase in the price index from 1960 to 1970 and this will be:

Rate = [(48.2 – 29.6) / 29.6] × 100%

Rate = (18.6 / 29.6) × 100%

Rate = 62.83 %

Let's represent the price of a dozen doughnuts in 1970 by X and solve. This will be:

62.83  = (X - 0.89) × 100 / 0.89

(62.83  × 0.89 ) = 100X - 89

55.9 = 100X - 89

100X = 144.9

X = 144.9 / 100

X = $1.44

X = $1.44

Therefore, the cost of a dozen doughnuts in 1970 is $1.44.

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For this case we have by definition that the area of a parallelogram is given by:

[tex]A = b * h[/tex]

Where:

b: It's the base

h: It's the height

According to the data we have:

[tex]b = 38\ m\\h = 12 \ m[/tex]

Substituting in the formula:

[tex]A = 38 * 12\\A = 456[/tex]

The area of the parallelogram is [tex]A = 456 \ m ^ 2[/tex]

Answer:

[tex]A = 456 \ m ^ 2[/tex]

Answer:

A=456m²

Step-by-step explanation:

Answer:

  0.196 lbs

Step-by-step explanation:

The area of the cross section is the difference of the areas of circles with the different diameters. The volume of the pipe material is the product of its cross section area and its length:

  V = π(D² -d²)L/4 = π(0.82² -0.75²)36/4 ≈ 3.107 . . . in³

Then the weight of the material is this volume multiplied by the density.

  W = V·δ = (3.107 in³)(0.063 lb/in³) ≈ 0.196 lb

Finding the weight of the PVC pipe involves calculating the volumes of the outer and inner cylinders then finding the difference, which is multiplied by the weight per cubic inch of PVC.

The weight of a 36 inch piece of PVC pipe can be calculated using the formula for the volume of a cylinder and the given weight per cubic inch of PVC material. Firstly, calculate the volume of the outer cylinder, which we know the diameter and length (or height). The formula for the volume of a cylinder is πr²h, where r is the radius and h is the height. We need to halve the diameter to get the radius, which gives us 0.82/2 = 0.41 inches.

Secondly, we calculate the volume of the inner cylinder in the same way, except we use the inner diameter, which is 0.75 inches, halved gives us a radius of 0.375 inches. The volume of material used is then the volume of the outer cylinder minus the volume of the inner cylinder. Lastly, multiply the volume of material by the weight per cubic inch to get the total weight.

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Answer:

6

Step-by-step explanation:

Let's setup a proportion to find AB.

AB corresponds to A'B'.

BC corresponds to B'C'.

So setting up proportion this would look like:

[\tex]\frac{AB}{A'B'}=\frac{BC}{B'C'}[/tex]

[\tex]\frac{AB}{15}=\frac{3.8}{9.5}[/tex]

Cross multiply:

[tex]AB(9.5)=15(3.8)[/tex]

Divide both sides by 9.5:

[tex]AB=\frac{15(3.8)}{9.5)}[/tex]

Put into calculator:

[tex]AB=6[/tex]

Answer: AB=6 so A is correct, hope this help! Branliest would be awesome :)

Step-by-step explanation:

Since the larger rectangle and the smaller rectangle are essentially the same just bigger, they will be proportionate.

Therefore..

9.5/3.8=15/AB

You can cross multiply to find AB...

9.5AB=57

Divide 57 by 9.5 to separate AB, which you can think of like x...

AB=57/9.5

AB=6

Answer:

  $46,141.71

Step-by-step explanation:

This looks about right, based on weekly deposits for the duration. However, I cannot vouch for it entirely, as the number of weekly deposits in 15 years will actually be 782.

_____

Computing this by hand doing the initial balance separately from the weekly deposits, I get a total of $46,252.10 using 782 weekly deposits. For that purpose, I tried to figure an equivalent weekly interest rate given monthly compounding and the fact there are 52 5/28 weeks in a year on average.

I suspect the only way to get this to the cent would be to build a spreadsheet with payment dates and interest computation/payment dates. Some months, there would be 5 deposits between interest computations; some years there would be 53 deposits.

Answer:

546 nuts

Step-by-step explanation:

727272 / 666 = 1092 nuts in each location

crow stole half nuts in 1 location

1092 / 2 = 546 nuts stolen

Answer:

6 nuts.

Step-by-step explanation:

The number of nuts in each location  is 72 / 6 = 12 nuts.

So the crow stole 1/2 * 12 = 6 nuts.

Answer:

  neither

Step-by-step explanation:

The number of laps John has run is 3 + the number of laps David has run. That is, both numbers are not zero at the same time, so the relationship cannot be proportional.

The numbers have a constant difference, not a constant product, so they are not inversely proportional, either.

David's laps and John's laps are neither proportional nor inversely proportional.

The relationship between the number of laps David runs and the number of laps John has run is proportional because they increase at the same rate, with John always maintaining a 3-lap lead.

The question asks whether the relationship between the number of laps that David runs and the number of laps that John has run is proportional, inversely proportional, or neither. Since John and David are running at the same speed, but John started with a 3-lap lead, the relationship is linear. The more laps David runs, the more John runs as well, maintaining a constant gap of 3 laps. Thus, this scenario illustrates a proportional relationship where the number of laps run by each, ignoring the start difference, increases at the same rate. This relationship can be represented by a linear equation like y = x + 3, where x is the number of laps David runs, and y is the number of laps John runs.

Answer:

The tip of the man shadow moves at the rate of [tex]\frac{20}{3} ft.sec[/tex]

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

[tex]\frac{y - x}{y} = \frac{6}{15}[/tex]

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = [tex]\frac{15x}{9\\} y = \frac{5x}{3}[/tex]

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

[tex]\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}[/tex] ----(1)

We are given [tex]\frac{dx}{dt} = 4 ft/sec[/tex]. Plug in the equation (1), we get

[tex]\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec[/tex]

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

To find the speed at which the tip of the man's shadow is moving, we need to solve a proportional relationship between the length of the shadow and the distance of the man from the pole. Using similar triangles and setting up a ratio, we can find the length of the shadow and then find its rate of change with respect to time. The tip of the shadow is not moving when the man is 45 ft from the pole.

To solve this problem, we need to use similar triangles. Let's call the length of the shadow x. The height of the pole is 15 ft and the height of the man is 6 ft. So, we can set up the following ratio:

15 / x = 6 / (x + 45)

To find x, we can cross-multiply:

(15)(x + 45) = 6x

Now, we can simplify and solve for x:

15x + 675 = 6x

9x = 675

x = 75 ft

To find the rate of change of the shadow's tip, we can take the derivative of x with respect to time:

dx/dt = 0

So, the tip of the shadow is not moving when the man is 45 ft from the pole.

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Answer:

one large box is 40 pounds

one small box is 30 pounds

Step-by-step explanation:

let large be l and small be s ,

l + s = 70 ------- equation1

70l + 55s. = 4450 ------- equation 2

equation 1 multiply by 55,

55l + 55s = 3850 ------ equation 3

equation 3 - equation 2 ,

(70l + 55s) - (55l +55s) = 4450 - 3850

70l + 55s - 55l - 55s = 4450 - 3850

15l = 600

l = 40

sub l = 40 into equation 1

40 + s = 70

s = 70 - 40

s = 30

Answer:

The y-intercept is (0,-407/5).

Step-by-step explanation:

The y-intercept can be found by setting x to 0 and solving for y.

10x-5y=407

10(0)-5y=407

   0-5y=407

     -5y=407

Divide both sides by -5:

       y=(407/-5)

       y=-407/5

The y-intercept is (0,-407/5).

Answer: Option B.

Step-by-step explanation:

Given the polynomial:

[tex]16x^2-36x+9[/tex]

 Observe that [tex]16x^2[/tex] and [tex]9[/tex] are perfect squares. Then, you can rewrite the polynomial in this form:

[tex](4x)^2-36x+(3)^2[/tex]

You can identify that:

[tex]A=4\\B=3[/tex]

Then, we can check if [tex]2AB=36[/tex]

 [tex]2(4x)(3)=36x\\\\24x\neq 36x\\\\2AB\neq36x[/tex]

Since [tex]2AB\neq36x[/tex], the polynomial [tex]16x^2-36x+9[/tex] IS NOT a perfect square trinomial of the form [tex]A^2 - 2AB + B^2[/tex]

Answer: B

Step-by-step explanation:

Answer:

[tex]12x^8+15x^7-8x^6-10x^5[/tex]

Step-by-step explanation:

Start by using the FOIL method on your second and third terms.

[tex](3x^2-2)(4x^2+5x)\\12x^4+15x^3-8x^2-10x[/tex]

Next, multiply the first term ([tex]x^4[/tex]) against your result.

[tex]x^4(12x^4+15x^3-8x^2-10x)\\12x^8+15x^7-8x^6-10x^5[/tex]

For this case we must find the product of the following expression:[tex](x ^ 4) (3x ^ 2-2) (4x ^ 2 5x) =[/tex]

We must bear in mind that to multiply powers of the same base, the same base is placed and the exponents are added:

Multiplying the terms of the first two parentheses, applying distributive property we have:

[tex](x ^ 4 * 3x ^ 2-x ^ 4 * 2) (4x ^ 2 5x) =\\(3x ^ 6-2x ^ 4) (4x ^ 2 5x) =\\3x ^ 6 * 4x ^ 2 3x ^ 6 * 5x-2x ^ 4 * 4x ^ 2-2x ^ 4 * 5x =\\12x ^ 8 15x ^ 7-8x ^ 6-10x ^ 5[/tex]

Answer:

The product is: [tex]12x ^ 8 15x ^ 7-8x ^ 6-10x ^ 5[/tex]

Answer:

B. 259

Step-by-step explanation:

This is an exercise in PEMDAS, the order of mathematical operations:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

Parentheses:          [(18 − 6)⋅3 + 1]⋅7

       Subtraction: = [(12)·3 +1]·7

    Multiplication: = [36 + 1]·7

            Addition: = [37]·7

Parentheses:       = 37·7

    Multiplication: = 259

Answer:

259

Step-by-step explanation:

Answer:

  (4, -3)

Step-by-step explanation:

-2u +v = -2(-1, 5) +(2, 7) = (-2(-1)+2, -2(5)+7)

  = (4, -3)

Answer:use a VPN and also write down your passwords, never keep them saved on your computer in case of a leak/breach of privacy and information

Step-by-step explanation:

Other than that all you got a do is download a VPN and also write your passwords and then proceed to be careful by not sharing any private/key info to identify who you are

Answer:

There are 15 partitions of 7.

Step-by-step explanation:

We are given that a partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers, in which we don't care about the numbers in the sum .

We have to find the partition of 7

We are given an example

Partition of 4

4=4

4=3+1

4=2+2

4=1+2+1

4=1+1+1+1

There are five partition of 4

In similar way  we are finding  partition of 7

7=7

7=6+1

7=5+2

7=5+1+1

7=3+3+1

7=3+4

7=4+2+1

7=3+2+2

7=4+1+1+1

7=3+1+1+1+1

7=2+2+2+1

7=3+2+1+1

7=2+2+1+1+1

7=2+1+1+1+1+1

7=1+1+1+1+1+1+1

Hence, there are 15 partitions of 7.

Answer:

  sin(2x) = 120/169

Step-by-step explanation:

A suitable calculator can figure this for you. (See below)

__

You can make use of some trig identities:

Then your function value can be written as ...

  sin(2x) = 2sin(x)cos(x) = 2(sin(x)/cos(x))cos(x)² = 2tan(x)/sec(x)²

  = 2tan(x)/(tan(x)² +1)

Filling in the given value for tan(x), this is ...

  sin(2x) = 2(12/5)/((12/5)² +1) = (24/5)/(144/25 +1) = (120/25)/((144+25)/25)

  sin(2x) = 120/169

Answer:

The answer is 3093.

3093 (if that series you posted actually does stop at 1875; there were no dots after, right?)

Step-by-step explanation:

We have a finite series.

We know the first term is 48.

We know the last term is 1875.

What are the terms in between?

Since the terms of the series form a geometric sequence, all you have to do to get from one term to another is multiply by the common ratio.

The common ratio be found by choosing a term and dividing that term by it's previous term.

So 120/48=5/2 or 2.5.

The first term of the sequence is 48.

The second term of the sequence is 48(2.5)=120.

The third term of the sequence is 48(2.5)(2.5)=300.

The fourth term of the sequence is 48(2.5)(2.5)(2.5)=750.

The fifth term of the sequence is 48(2.5)(2.5)(2.5)(2.5)=1875.

So we are done because 1875 was the last term.

This just becomes a simple addition problem of:

48+120+300+750+1875

168      +   1050  +1875

          1218          +1875

                         3093

Answer:

5

Step-by-step explanation:

Since this is a rectangle, opposite sides are congruent.

That is, the perimeter in terms of w is:

(2w-1)+(2w-1)+(w)+(w)

or

2(2w-1)+2(w)

We can simplify this.

Distribute:

4w-2+2w

Combine like terms:

6w-2

We are given that the perimeter, 6w-2, is 28.

So we can write an equation for this:

6w-2=28

Add 2 on both sides:

6w   =30

Divide both sides by 6:

w   =30/6

Simplify:

w   =5

w is 5

Check if w=5, then 2w-1=2(5)-1=10-1=9.

Does 5+5+9+9 equal 28? Yep it does 10+18=28.

Answer:

w=5

Step-by-step explanation:

To find the perimeter of the rectangle

P = 2(l+w)

where w is the width and l is the length

Our dimensions are w and 2w-1 and the perimeter is 28

Substituting into the equation

28 = 2(2w-1 +w)

Combining like terms

28 = 2(3w-1)

Divide each side by 2

28/2 = 2(3w-1)/2

14 = 3w-1

Add 1 to each side

14+1 = 3w-1+1

15 = 3w

Divide each side by 3

15/3 =3w/3

5 =w

Answer:

Step-by-step explanation:

A graph shows the only real zero to be at x = 3.

Factoring that out gives the quadratic whose vertex form is ...

  y = (x -10)² +1

The roots of this quadratic are the complex numbers x = 10 ± i.

_____

For y = (x -10)² +1, the zeros are ...

  (x -10)² +1 = 0

  (x -10)² = -1 . . . . . . . . . . subtract 1

  x -10 = ±√(-1) = ±i . . . . .take the square root

  x = 10 ± i . . . . . . . . . . . . add 10

Answer:

3, 10±i

Step-by-step explanation:

Given is a function [tex]f(x) = x^3 - 23x^2 + 161x -303.[/tex]

By rational roots theorem, this can have zeroes as ±1, ±3,±101

By trial and error checking we find f(3) =0

Hence x-3 is a factor

f(x) = [tex](x-3)(x^2-20x+101)[/tex]

II being a quadratic equation we find zeroes using formula

[tex]x=\frac{20±\sqrt{400-404} }{2} =10+i, 10-i[/tex]

zeroes are 3, 10±i

Given that [tex]P(Q)=\dfrac{3}{5},P(R)=\dfrac{1}{3}[/tex]

Also,

[tex]P(Q\wedge R)=P(Q)\cdot P(R)=\dfrac{3}{5}\cdot\dfrac{1}{3}=\dfrac{1}{5}[/tex]

We can conclude that,

[tex]P(Q\vee R)=P(Q)+P(R)=\dfrac{3}{5}+\dfrac{1}{3}=\boxed{\dfrac{14}{15}}[/tex]

The answer is B.

Hope this helps.

r3t40

The greatest common factor (or GCF) is, as the name says, the greatest factor a set of numbers have in common. We can find this by listing out all the possible factors (multiples) of each number:

For 28:

1, 2, 4, 7, 14, 28

For 42

1, 2, 3, 6, 7, 21, 42

(note you don't need to list out all the factors, I just did it for visual purposes)

As you can see, 28 and 42 have 3 factors in common, with 7 being the greatest.

Therefore, the answer would be C: the GCF is 7.

Hope this helps! :)

Answer:

it is 14... have a blessed and amazing day

Step-by-step explanation:

Answer:

1st problem: b) [tex]A=2500(1.01)^{12t}[/tex]

2nd problem:  c) [tex]A=2500e^{.12t}[/tex]

Step-by-step explanation:

1st problem:

The formula/equation you want to use is:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

t=number of years

A=amount he will owe in t years

P=principal (initial amount)

r=rate

n=number of times the interest is compounded per year t.

We are given:

P=2500

r=12%=.12

n=12 (since there are 12 months in a year and the interest is being compounded per month)

[tex]A=2500(1+\frac{.12}{12})^{12t}[/tex]

Time to clean up the inside of the ( ).

[tex]A=2500(1+.01)^{12t}[/tex]

[tex]A=2500(1.01)^{12t}[/tex]

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

2nd Problem:

Compounded continuously problems use base as e.

[tex]A=Pe^{rt}[/tex]

P is still the principal

r is still the rate

t is still the number of years

A is still the amount.

You are given:

P=2500

r=12%=.12

Let's plug that information in:

[tex]A=2500e^{.12t}[/tex].

Answer:

positive

Step-by-step explanation:

Find the sign of (2-2x+y) for any point (x,y) in quadrant 2.

In quadrant 2, the x's are negative and the y's are positive.

So choose a negative value for x and a positive value for y and evaluate:

2-2x+y

Let's try (-4,5):

2-2(-4)+5

2+8+5

15 (positive)

Let's try(-1/2 , 10):

2-2(-1/2)+10

2+1+10

3+10

13 (positive)

Let's try in general Let (x,y)=(-a,b) where a and b are positive:

2-2(-a)+b

2+2a+b

Since a and b are positive, then 2+2a+b is positive because you are adding three different positive numbers.

Answer:

50 degrees

Step-by-step explanation:

The measure of an inscribed angle of a circle is half the degree measure of the intercepted arc.

m<Q = (1/2)m(arc)RS

m<Q = (1/2)(100 degrees)

m<Q = 50 degrees

Answer:

∠Q = 50°

Step-by-step explanation:

An inscribed angle whose vertex lies on a circle and whose sides are two chords of the circle is one half the measure of its intercepted arc.

arc RS is the intercepted arc, hence

∠Q = 0.5 × 100° = 50°