j need help w number 4 algebra to have to show all work

Answer:

Opposite angles are the same measure.

Angles around a point = 360°

When you add all the angles, you get 360.

Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.

Then, you half that value( divide by 2) and this is to find the measure of the other angle

Answer:

12

Step-by-step explanation:

Answer:

The first 12 terms of the series are represented by:

[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]

Step-by-step explanation:

The summation notation for the series [tex]-1 + 2 -4 + 8 -16...[/tex] is represented by the expression [tex]f(n) = \Sigma\limits_{i = 1}^{n} [(-1)^{n} \cdot 2^{n-1}][/tex].

The first 12 terms of the series are represented by:

[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]

Answer:

15.38%

Step-by-step explanation:

There are 4 7's in a deck of 52 cards.

There are 4 Aces in a deck of 52 cards.

4+4 = 8

8/52, or 15.38%

=================================================

Explanation:

There are four cards labeled "7", and four cards that are aces. We have 4+4 = 8 cards that we want to find. This is out of 52 total.

The probability we're after is 8/52 = (4*2)/(4*13) = 2/13

2/13 = 0.1538 = 15.38% approximately

Answer: $9

Step-by-step explanation:  Rounding $9.49 to the nearest dollar consider the tenths’ value of $9.49. Which is 4 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of $9.49, $9, remains $9, and the decimal point and all digits (.49) are removed.

Answer:

x = -4, -2

Step-by-step explanation:

Given equation is,

x² + 6x + 8 = 0

Let the equation to be graphed is,

y = x² + 6x + 8

y = x² + 2(3x) + 9 - 1

y = x² + 2(3x) + 3² - 1

y = (x + 3)² - 1

Table for the Input-output values  

x           -6          -4            -3            -2            -1            0            

y            8           0            -1              0             3            8      

Now we can plot these points on the graph as attached.

Since, this graph is intersecting x-axis at x = -4, -2

Therefore, solutions of the given equation will be x = -4, -2

SAS IS YOUR ANSWER!

HOPE THISE HELPS

Answer:

After four years the house was worth $128,891.03

Step-by-step explanation:

170828(x)^12 = 73828

solve for x

x = 0.932 (House depreciates by 6.8% yearly)

plug in x and change into function and substitute 4 for 12 because it's 4 years

170828(0.932)^4

128891.0334

Answer:

Match the packaging type with the number of seedlings it contains.

gerbera daisy cell pack

gerbera daisy flat

standard flat

standard cell pack

Step-by-step explanation:

Answer:

720 I think not sure if im right

Answer: 720 pennies

Step-by-step explanation:

1/2 = 3/6 and 2/3 = 4/6

So the 120 pennies she added was 1/6 of the total size

6 x 120 = 720

Answer:

n + 45

Step-by-step explanation:

The question is asking to write an algebraic expression for the sum of a number and 45. We know we are adding a number to 45. So we use addition. But, we don't which number we are adding to 45. So we just use a variable. I used "n", but use whatever letter you want ( x, y, z, etc). I recomend using the same variable that your intrcuctor uses.

Hope this helps.

Answer:

Step-by-step explanation:

⅕ of 5¼ pounds = ⅕ × 5¼

= ⅕ × 21/4

= 21/20 pounds

Answer: 138

Step-by-step explanation:

(65*2)=130

(4*2)=8

130+8=138

Answer:

2 (l+b )=2 (65+4)=2×69=128

Answer:

0 = 0 = 0 = 0 = 0 < 1/

2

< 7/

8

< 7/

2

< 49/

8

< 12 < 271/

2

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1/

2

is less than 7/

8

is less than 7/

2

is less than 49/

8

is less than 12 is less than 271/

2

0/

8

= 0/

8

= 0/

8

= 0/

8

= 0/

8

< 4/

8

< 7/

8

< 28/

8

< 49/

8

< 96/

8

< 1084/

8

Step-by-step explanation:

Answer:

x = 9.6

Step-by-step explanation:

25x = 12 x 20

25x = 240

x = 9.6

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.

Solution:

Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.

Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³

Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³

Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:

number of cone cups = 45π in³ / π in³ = 45 cups

Hence 45 cups of the cone would be needed to fill the cylindrical bottle

In other words, choices 2 and 4 are false while everything else is true.

==========================================================

Explanation:

The boxplot, or box-and-whisker plot, is a visual way to display a five number summary. Recall that the five items of a five number summary are:

The min and max are exactly what they sound like: They're the smallest and largest values. Visually, this means they are the left and right most edges of the whiskers. This assumes that there are no outliers on either side.

The visual representation of Q1 and Q3 are the left and right edges of the box in that order. The gap between them is the IQR (interquartile range). The wider the box, the larger the IQR will be. The diagram shows the north cars have a larger IQR compared to the south ones.

Choice 1) is one of the answers since it is a true statement.

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

The median is visually shown as a vertical line somewhere inside the box. It doesn't have to be at the exact midpoint of the left and right edges. We could have the median be closer to the left edge for instance, as the north cars boxplot shows.

Choice 2 is false because the diagram shows that the cars going south have a higher median speed, due to that lower vertical line being more to the right compared to the upper vertical line. In other words, the median speed of the cars going south is 64 mph while the median speed of the cars going north is 62 mph.

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

Choice 3 is a bit tricky since the left edge of the blue box isn't lined up with a value on the number line. But it appears to be halfway between 58 and 60, so it seems like Q1 = 59 for the southbound cars. The value of Q3 for the southbound cars is Q3 = 68. The IQR is therefore,

IQR = Q3 - Q1 = 68-59 = 9

It's very likely that choice 3 is true

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

For the northbound cars, we have

Q1 = 56

Q3 = 71 (assuming the right edge of the green box is exactly in the middle of the tickmarks of 70 and 72)

So,

IQR = Q3 - Q1 = 71 - 56 = 15

We don't get a result of 27, so choice 4 is not a true statement.

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

Choice 5 is a true statement. The max speed of the northbound cars is larger than the max of the southbound cars. This is because the right tip of the north's whisker is further to the right compared to the south's corresponding whisker.

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

The lower quartile is another name for "Q1" or "first quartile". So we'll be looking at the left edges of each box. The northbound cars have a smaller Q1 value because

Q1 = 56 for northbound cars

Q1 = 59 (or somewhere between 58 and 60) for southbound cars

Therefore, choice 6 is true.

Answer:

the equation will be

Step-by-step explanation:

2x+y+5=0

Answer:

2x + y + 5 = 0

Step-by-step explanation:

The equation of line is x-2y = 14 and we need to find the equⁿ of line which passes through (-1,-3) and is perpendicular to given line.

=> x - 2y = 14

=> 2y = x - 14

=> y = x-14/2

=> y = x/2 - 7

=> Slope (m) = 1/2 .

Now the slope of line perpendicular to it , will have a slope ,

=>[tex] m_{perp}[/tex] = -1/m

=>[tex] m_{perp}[/tex] = -1/½

=> [tex] m_{perp}[/tex] = -2

=> m = (y - y₁) / ( x - x₁)

=> -2 = { y - (-3) } / { x - (-1) }

=> -2 = y + 3/x + 1

=> -2(x + 1) = y + 3

=> -2x -2 = y + 3

=> y + 2x +3+2 = 0

=> 2x + y + 5 = 0

Answer:

28pi, 10pi

Step-by-step explanation:

So, lets go over a few things.

What is circumference?

Circumference is the permiteter of a circle.

The formula for it is 2*r*pi.

Now, lets go over what radius and diamater is.

Diamater is the distance between the two opposite sides of the circle.

The radius is half of the diamater, and is the distance between one side of the circle and the middle.

Problem #1:

The distance from the middle to the side of the circle is 14.

This will be the radius, not the diamater.

Lets plug this into the formula:

2*14*pi

=

28*pi

=

28pi

This is your answer.

Problem #2

The distance from the two opposite sides of the circle is 10.

So the radius will be half of this, being 5.

Now lets plug this in:

2*5*pi

=

10*pi

=

10pi

This is your answer.

Hope this helps!

The measure of m<3 is 105 degrees

Using the law that states that the sum of an interior angle of a rectangle is equal to the exterior.

From the given diagram;

m<X + m<Y = m<3

Given that m<X= 55 degrees and m<Y = 50 degrees

m<3 = 55 + 50

m<3 = 105 degrees

Hence the measure of m<3 is 105 degrees

Learn more here: https://brainly.com/question/24193697

Answer:

B. No

Step-by-step explanation:

I calculated it logically

Answer: 2^3 x 2^4

Step-by-step explanation:

The value of the exponential expression is A = 2³.2⁴ = 128

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the value of the exponential equation be A

Now , the first expression is p = 2³

The value of p = 8

Now , the second expression is q = 2⁴

The value of q = 16

From the laws of exponents , we get

p.q = 2³.2⁴ = 2³⁺⁴

The value of A = 2⁷ = 128

Hence , the exponential equation is 2⁷ = 128

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ5

Answer:

a. 22.3°

b. 2940.16 ft/s

Step-by-step explanation:

Here is the complete question

A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x, y) at the relationship cot theta = 2x/2y + gt^2 where theta is the angle of elevation of the launcher and g is the acceleration due to gravity (32.2 feet/second^2). An artillery man is firing at an enemy barker located 2275 feet up the side of a hill that is 6325 feet away. He fires a round, and exactly 2.84 seconds later he scores a direct hit.

a. What angle of elevation did he use? theta = degree (Do not round until the final answer. Then round to one decimal place as needed.)

b. f the angle of elevation is also given by sec theta = v_0 t/x, where v_0 is the velocity of the weapon, find the muzzle velocity of the artillery piece he used. v_0 = feet/second (Round to two decimal places as needed.)

Solution

(a) What angle of elevation did he use?

Given that cosθ = 2x/(2y + gt²) where x = horizontal distance of projectile = 6175 feet away,y = vertical distance of projectile = 2450 feet up, g = acceleration due to gravity = 32 ft/s² and t = time of hit = 2.27 s

So, cosθ = 2x/(2y + gt²)

cotθ = 2 × 6175 ft/(2 × 2450 ft + 32 ft/s² × (2.27 s)²)

cotθ = 12350 ft/(4900 ft + 32 ft/s² × 5.1529 s²)

cotθ = 12350 ft/(4900 ft + 164.8928 ft)

cotθ = 12350 ft/(5064.8928 ft)

1/tanθ = 2.4384

tanθ = 1/2.4384

tanθ = 0.4101

θ = tan⁻¹(0.4101)

θ = 22.3°

(b) If the angle of elevation is also given by sec θ = υ0t/x. where υ0 is the muzzle velocity of the weapon, find the muzzle velocity of the artillery piece he used.

Making u0 subject of the formula, we have

u0 = xsecθ/t

u0 = x/tcosθ

since x = 6175ft, t = 2.27 s and θ = 22.3°, then

u0 = x/tcosθ

u0 = 6175 ft/(2.27 s × cos22.3°)

u0 = 6175 ft/(2.27 s × 0.9252)

u0 = 6175 ft/(2.1 s)

u0 = 2940.16 ft/s

Answer:

B. 99.098%

Step-by-step explanation:

The probability that the person will not die in the next year is 99.098% .

Correct option is B.

Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (Event) = Favorable Outcome/Total Outcome = x/n  

Given,

Probability of a person will die next year = 902/100000

sum of the probabilities of all events in the sample space is 1.

Then probability of the person will not die in the next year

= 1 - 902/100000

= 1 - 0.00902

= 0.99098

= 0.99098 × 100/100

= 99.098%

Hence, 99.098% is the probability that the person will not die in the next year.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ7

Answer:

Distributive Property

Step-by-step explanation:

You are distributing 3 to x and -4

Answer:

9 pi

Step-by-step explanation:

Answer:

28.274 cm^2 (remember units are important)

Step-by-step explanation:

The answer is the area of the cookie. The area of the cookie (neglecting its thickness) is:

A = pi(r^2)

here the radius is 1/2 the diameter of 6 cm:

A = 3.14159 * 3^2 or A = 3.14159* 9 = 28.274 cm^2

Answer:

1/6

Step-by-step explanation:

Double the original amount: 1/3. Which is 1/6, not 2/6, if it was 2/6 then people waould get 1/3 instead (not equal).

Answer:

B=(-3, -5)

Step-by-step explanation:

Answer:

34.1cm^2

Step-by-step explanation:

Area of triangle = 1/2 x base x height

=1/2 x6.2 x11

=34.1cm^2