Evaluate the algebraic expression 2x + y- z when w = 12, x = 10, 5 and z = 9

Answer:

20$ (had to be 20 letters :")

Step-by-step explanation:

Answer: 40.425

Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount

Answer:

18.33

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:

Step-by-step explanation:

\(p(\frac{(1+i)^n-1}{i})\\i=.07/12=.0058333\\\\n=27*12\\96(\frac{(1+.0058333)^{12*27}-1}{.0058333})= 91882.2085266=91882.21\)

To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.

We have,

To eliminate the y-terms in this system of equations, we can multiply the second equation by 2 and add it to the first equation.

This will result in the y-terms canceling out, and we will be left with only x-terms on one side of the equation, which we can then solve for x.

So, multiplying the second equation by 2, we get:

2(3x + 4y) = 2(5)

6x + 8y = 10

Now, adding this to the first equation, we get:

4x - 8y + 6x + 8y = 20 + 10

10x = 30

Dividing both sides by 10, we get:

x = 3

Now, we can substitute this value of x back into either of the original equations to solve for y.

4x - 8y = 2

So,

4(3) - 8y = 20

12 - 8y = 20

-8y = 8

y = -1

Therefore,

The solution to the system of equations is (x, y) = (3, -1).

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Answer:

33/209

Step-by-step explanation:

11*19=209 . 3(11)=33 .  33/209  

Given parameters:

   Length of the rectangle  = \(\frac{11}{19}\) mile

   Width of the rectangle  = \(\frac{3}{11}\) mile

Unknown:

Area of the rectangle = ?

Solution:

The area of a rectangle is

   Area of rectangle  = length x  width

                                  = \(\frac{11}{19}\) x \(\frac{3}{11}\)

                                = \(\frac{3}{19}\)mile²

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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The probability that exactly 4 seeds out of 9 planted won't grow is 1.57%.

Let X be the number of seeds that don't grow.

X follows a binomial distribution with parameters n=9 and p=0.15 (the probability that a seed doesn't grow).

So, probability of exactly 4 seeds not growing is:

P(X=4) = \(9C4 * (0.15)^4 * (1-0.15)^5\)

P(X=4) = 70 * 0.00050625 * 0.4437053125

P(X=4) = 0.01572380701

P(X=4) = 1.57%

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Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

Answer:

Step-by-step explanation:

2 2/3

AE= 17.4 to nearest tenth

Step-by-step explanation:

Opposite + hypotenuse = SOH / sin

Sin 31 = 6/h

xh, then ÷ sin31

H= 6/sin31

H= 11.649....(a or b & 6 being a or b)

a^2 + b^2 = c^2

c = 13.1

Actually it's not a right-angle triangle

180 - 13+31 (or 44) = 136 degrees

Cosine rule: a^2=b^2+c^2 - 2bc cosA

AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136

= 17.3791......

AE= 17.4 to nearest tenth

Hope this helps!

Answer:

initial value is 1200, rate of growth is 0.3

Step-by-step explanation:

A(t) = P(1+r)^t

p= initial value

r= rate of growth

A(t)= amount after

t= time

The initial value is 1200 and rate of growth is 0.3.

An exponential function is a mathematical function of the following form: f ( x ) = \(a^x\) where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e

Given:

Function: Y=1200 x \((1+0.3)^t\)

Now, We know using the Amount formula

A(t) = P\((1+r)^t\)

where, p= initial value

r= rate of growth

A(t)= amount after

t= time

Then, Comparing it to the given function we have

Initial Value = 1200

and, Rate of Growth = 0.3

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The slope of the line that is perpendicular to y is m=6/7.

What do you mean by slope?

A number used to define a line's direction and steepness in mathematics is called the slope or gradient of the line.

The slope is denoted by m,

m = slope

According to the data in the given question:

We have to determine the slope of line that is perpendicular to y,

y=6/7x+2

For the slope, we need follow this equation, where m is slope,

y=mx+b............(1)

In the given question,

m=6/7

Therefore, the slope of the line is m=6/7.

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Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

no

Step-by-step explanation:

your beatiful just the way you are

dont change anything about yourself

Answer:

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

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Answer:

0.01344

Step-by-step explanation:

6/625×2×7/10 = 0.01344

Answer:

0.01344

Step-by-step explanation:

There is no pemdas to show, so you just go in order. 6/625 is 0.0096, then multiplied by 2 is 0.0192, then multiplied by 7 gets you 0.1344, then dividing by 10 gets you 0.01344.

The probability, using the binomial distribution, that at least one of the eight launches will result in cloud movement is of:

0.2786 = 27.86%.

The mass probability formula that calculates the probability of x successes is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are listed as follows:

In the context of this problem, the values of these parameters are given as follows:

n = 8, p = 0.04.

The probability of at least one cloud movement is given as follows:

P(X > 0) = 1 - P(X = 0).

In which the probability of none movement is given as follows:

P(X = 0) = (1 - 0.04)^8 = 0.7214.

Hence:

P(X > 0) = 1 - P(X = 0) = 1 - 0.7214 = 0.2786 = 27.86%.

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We know that the interior angles of any quadrilateral have to add 360°, then we add the expressions for each angle to get:

Solving for x we have:

Therefore x=40°.

Answer:

C

Step-by-step explanation:

\(\frac{9}{9}=1\)

\(1=\frac{20}{20}\)

\(\frac{19}{20} <\frac{20}{20}\)

\(\frac{13}{6}=2\frac{1}{6}\)

\(1<2\frac{1}{6}\)

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

n < 6

Step-by-step explanation:

I multiplied the entire equation by 3 to remove the fraction. This got me:

12 + n < 18

I then subtracted 12 (inverse operations) to get:

n < 6

I hope this helps!

Answer:

n=1

Step-by-step explanation:   n/3=3+4 is less than 6

Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

Answer:

the maximum price you should be willing to pay for the bond is $1,141.85.

Step-by-step explanation:

To calculate the maximum price you should be willing to pay for the bond, we need to calculate the present value of all future cash flows at a discount rate of 10%:

First, we need to calculate the semiannual coupon payment:

Coupon payment = (Coupon rate * Par value) / 2

Coupon payment = (9.75% * $1,000) / 2 = $48.75

Next, we need to calculate the number of periods, which is twice the number of years since the bond makes semiannual payments:

Number of periods = 2 * 10 = 20

Using the present value formula for an annuity, we can calculate the present value of the semiannual coupon payments:

PV of coupon payments = (Coupon payment / Discount rate) * [1 - 1 / (1 + Discount rate)^Number of periods]

PV of coupon payments = ($48.75 / 0.05) * [1 - 1 / (1 + 0.05)^20] = $764.96

Finally, we need to calculate the present value of the par value:

PV of par value = Par value / (1 + Discount rate)^Number of periods

PV of par value = $1,000 / (1 + 0.05)^20 = $376.89

The maximum price you should be willing to pay for the bond is the sum of the present value of the coupon payments and the present value of the par value:

Maximum price = PV of coupon payments + PV of par value

Maximum price = $764.96 + $376.89 = $1,141.85

Therefore, the maximum price you should be willing to pay for the bond is $1,141.85.

Answer:

mode = no mode. median = 133, mean = 133

Step-by-step explanation:

mode = most common value. all of the values appear once. so there is no mode.

median = arranging the data in numerical order, then finding middle value.

there are 8 values. we have 4 on one side (124, 126, 128, 130) and 4 on the other (136, 137, 140, 143).

median is halfway between 130 and 136. that is 133.

mean = add up the values/ how many there are

adding them up, you get 1064. there are 8 values.

mean = 1064/8 = 133

The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.

A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.

The model of the equation best for the plot is,

ŷ = -1.34x+21.5

At point (1,20),

ŷ  = -1.34x+21.5

20 = (-1.34 ×  1) + 21.5

20 ≈ 20.15

At point (3,19),

ŷ = -1.34x+21.5

19 = (-1.34 × 3) + 21.5

19 ≈17.45

At point (5,15),

ŷ = -1.34x+21.5

15 = (-1.34 × 5) + 21.5

15 ≈ 14.75

The model ŷ = -1.34x+21.5   is giving the best estimation.

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\(\frac{41-27}{41} \times 100 \approx \boxed{34\%}\)