...........................

Answer:

Height = 4 feet

Step-by-step explanation:

To determine how tall I can be we take the difference between the shadow cast by the 32-feet tree and the distance away from the tree

But the tree is 32 feet tall but on shadow it's 160

So lemme determine how long I'll be in my shadow first

Distance away from tree= 140 feet

Length of shadow cast by tree

= 160 feet

Length of shadow= 160-140

Length if shadow= 20 feet

My height= x

X/20= 32/160

X= 20*32/260

X = 4 feet

Height = 4 feet

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Step-by-step explanation:

Let X2 be y

Y2+4Y+4=0

solving the quadratic equation becomes: Y=-2

But Y=X2

-2=X2

X=root -2 or X= -root-2

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

From the question, we have the following parameters that can be used in our computation:

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

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Answer:

707,957

Step-by-step explanation:

x= 518*tan(42°) + 518*tan(25°) =518*(tan(42°)+tan(25°))≈518*1.367=707.957

Answer:

707,957

Step-by-step explanation:

To find the GCF between two number. we have to find the same number that divides both of our numbers without reminder.

We can write 9 and 15 like.

We see that both numbers can be divides by 3 without reminder but we can divide 9 by 5 without a reminder.

So, the GCF of 9 and 15 is 3.

The range of values of  (f + g)(x) is for all values of x  -infinity to + infinity

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are Given f(x) = |x| + 9 and g(x) = –6,

Required the range of (f + g)(x)

First, calculate

(f + g)(x) = f(x) +  g(x)

Substitute values for f(x) and g(x)

(f + g)(x) = |x| + 9 - 6

(f + g)(x) = |x| + 3

The above expression shows that (f + g)(x) ≥3

Range = (f + g)(x) ≥3 for all values of x

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Answer:

The numbers are 6 and 7.

Step-by-step explanation:

4² = 16

5² = 25

6² = 36

7² = 49

√36 = 6

√42 = ?

√49 = 7

The numbers are 6 and 7.

Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:

Yo, listen up, the parallelogram is where it's at,

A shape so brilliant, the angles are sat.

Parallel sides that never converge,

Internal angles that never diverge.

Each side an equal length,

A geometry prodigy's dream length.

The diagonals intersect, another line through the middle they meet,

Creating symmetry so neat.

A rectangle it could be,

But it's oblong, not square, can't you see?

With depth and width in perfect balance we see,

A two-dimensional form of complexity.

While the square is simple, the parallelogram is hip,

A mathematical masterpiece, skip, skip, skip!

four right angles keep the shape so tight,

Parallel lines dominate left and right.

Rotated or reflected without a care,

Its structural integrity beyond compare.

triangles form at each corner you'll note,

Acute or obtuse, depends on the protractor's groove.

A versatile shape with reason and purpose galore,

The parallelogram, simply, carries the floor.

From geometry to art, its angles they intrigue,

As a basis for patterns, its potential we can truly plug.

A forgotten form that deserves more acclaim,

Put the parallelogram on geometry's game!

This shape so underrated, rarely appreciated it seems,

But with logic and virtue, strong foundations it gleams.

The parallelogram, the parallelogram, Hooray!

This is why the parallelogram is the best shape, I say!

Answer:

C. (-1)(15+15+15+15)

D. (-15)+(-15)+(-15)+(-15)

Step-by-step explanation:

The original expression: 4(-15)=-60

Let's try choice A: 15+15+15+15=60(not a negative number, so does not work)

Let's try choice B: 4+4+4+4=16(nowhere near -60)no

Let's try choice C: (-1)(15+15+15+15)=(-1)(60)=-60--yes

Let's try choice D: (-15)+(-15)+(-15)+(-15)=-60--yes

Only choices C and D work.

Answer:

c and d

Step-by-step explanation:

just did it

(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

From the question, we have the following parameters that can be used in our computation:

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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Note that the total length of the fencing that Mark needs to surround all 4 gardens with is: "110 feet". This is a perimeter problem.

We are told that there are 4 rectangular gardens each with:

L = 9 1/4; where L = Lenght

W = 4 1/2; where W is Width

to derive the perimeter of one garden, we go:

2 (Lenght + Width)

⇒ 2( 9 1/4 + 4 1/2)

⇒ 2( 37/4 + 9/2)
= 2( 37/4 + 18/4)

= 2 [(37 + 18)/4]

= 2 * 55/4;

= 55/2 or 27.5 feet.

Given the above result, the perimeter of all 4 gardens will equal,

4 * 27.5

= 110 Feet.

Hence, it is correct to state that the total length of the fencing that Mark needs to surround all 4 gardens with is: "110 feet".

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Full Question:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length of fencing Mark needs to surround all 4 gardens?

If we total up the dots plot for 3, 4, and 5 pets, we find that 3 people have 2 pets at home, 10 individuals have at least 3 pets at home.

The fact that dogs are the most common pet in the world shouldn't be shocking. There is a reason why there are tens of millions of dogs living in the United States alone, which is why some people say that dogs are a man's greatest friend. Around the world, at least one dog is kept in one-third of all households.

A fully domesticated animal kept constitutes a "household pet." a pet kept by you for personal company, like a dog, cat, reptile, bird, or mouse. Any kind of horse, cow, pig, sheep, goat, chicken, turkey, other captive fur-bearing animal is not considered a household pet, nor is any animal that is typically kept for food or profit.

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The total number of people with pets at home is 11, which is the sum of the heights of the columns.

What is equation?

A math equation is a method that links two claims and represents equivalence using the equals sign (=). An equation is a mathematical statement that establishes the equivalence of two mathematical expressions in algebra.

Based on the given dot plot, we can answer the following questions:

How many people have 2 pets at home?

Answer: Two people have 2 pets at home, as indicated by the two dots in the second column.

How many people have at least 3 pets at home?

Answer: Six people have at least 3 pets at home, as indicated by the dots in the third column and beyond.

How many more people have 2 pets than 5 pets?

Answer: There are no dots in the last column, which represents 5 pets. Therefore, the difference between the number of people with 2 pets and those with 5 pets is 2 - 0 = 2.

How many people have less than 3 pets at home?

Answer: Three people have less than 3 pets at home, as indicated by the dots in the first two columns.

Therefore, the total number of people with pets at home is 11, which is the sum of the heights of the columns.

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Answer:

Step-by-step explanation:

sin(x)=cos(x) × tan(x)

=(-2√23)×(√24)

=(-2√23)×(2√6)

=(-4√138)

=(-4(2√(3×23)))

=(-8√69)

Answer:

1. Multiply each expression by a number to make a variable cancel out. The numbers can be different:

1(2x + 5y = 10)

5(x-y = -9)

Use the distributive property, then add the expressions together.

2x + 5y = 10

5x - 5y = -45

7x = -35

x = -5

2. Solve the inequality as if there was an equal sign.

-9x -6 < 3 - 2x

-7x < 9

Flip the inequality sign around if you have to multiply/divide by a negative number.

x > -1.2857...

3. Find the y-intercept and slope of each line. If the line is shaded below, it is <. If it is shaded above, it is >.

blue line: y < -0.5x - 3

red line: y > -1.5x -5

Answer:

3.1 x \(10^{13}\)

Step-by-step explanation:

\(\frac{2x10^{20} }{6.37x10^{6} }\)

3/6.37 is about .31

When you are dividing with powers, you subtract the exponents

20 - 6 = 14

.31 x \(10^{14}\)  This is not in scientific notation because .31 is less than 1

3.1 x \(10^{-1}\)x\(10^{14}\)  When we multiply powers with the same base we add the exponents

3.1 x \(10^{13}\)

The system of inequalities that can be used to determine he number of pencils that Mr.Carnegie can buy is 0.15x +0.75y < 30 and y < 3x.

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The total amount spent on pens and pencils cannot exceed $30. Thus, the inequality sign to be used is <. Thus, the equation is: 0.15x +0.75y < 30 and 3x > y

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The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

it would need 40 liters of natural oil

8x5=40

Answer:

\(y=\frac{2}{3} x-1\)

Step-by-step explanation:

Hi there!

We are given the slope of the line and a point that it passes through.

It's easy to identify the equation of the line:

y=mx+b (slope-intercept)

\(y=\frac{2}{3} x-1\)

Thus, \(y=\frac{2}{3} x-1\) is our answer.

Hope it helps! Enjoy your day!

\(\bold{GazingAtTheStars}\)

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer: 39 ft2

Step-by-step explanation:

The area of the trapezoid is 39 square feet.

To find the area of a trapezoid, you can use the formula:

Area = (1/2) × (base1 + base2) × height

Given that the bases of the trapezoid are 16 feet and 10 feet, and the height is 3 feet, we can substitute these values into the formula:

Area = (1/2) × (16 + 10) × 3

Area = (1/2) × 26 × 3

Area = (1/2) × 78

Area = 39 ft^2

Therefore, the area of the trapezoid is 39 square feet.

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The centroid of the region  is

x CM =1/2 and

y CM=5/12.

What is centroid?

In mathematics  the centroid, can be described as geometric center or center of figure, of a plane figure or solid figure. It is the arithmetic mean position of all the points in the surface of the figure.

The centroid of the area is given by the function f(x).

Given that f(x)= x⁴ and f(x)=√x. Here we take the convention for the 2nd function as g(x). i.e. g(x)= √x.

Now the formula for centroid is given by:

x*= \(\frac{1}{A} \int\limits^a_b {x(f(x)-g(x))} \, dx\)  ---------(1)

and y*= \(\frac{1}{2A} \int\limits^a_b {(f(x)+g(x))(f(x)-g(x))} \, dx\)------------(2)

where A= \(\int\limits^a_b {(f(x)-g(x))} \, dx\)-------------(3)

Now f(x)-g(x)= x⁴ - √x

At first we will find the value of A.

A= ∫ (x⁴ - √x)dx

   = ∫ x⁴ dx - ∫ √x dx

   = x⁵/5 - (2/3) \(x^{3/2}\)

Taking limit from 0 to 1 we get,

A= (1/5)-(2/3)

  = -7/15

Now x*= -15/7 ∫ x( x⁴ - √x)dx  [ putting the values in (1)]

           =-15/7 [∫ x⁵ dx - ∫ x √x dx]

           = -15/7 [ x⁶/6 - (2/5)\(x^{5/2}\)]

Taking the limit from 0 to 1 we get,

x*= (-15/7)×(-7/30)

  = 1/2

y*= -15/14∫(x⁴+√x)(x⁴-√x) dx [ putting the values in (2)]

   = -15/14 ∫ (x⁸ - x)dx

  = -15/14 [x⁹/9 - x²/2]

Taking limit from 0 to 1 we get,

y*= (-15/14)×(-7/18)

  = 5/12

Hence the centroid  is 1/2 and 5/12.

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Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

Answer:

B. $104.95

Step-by-step explanation:

$160.45-$55.50=$104.95

Answer:

c... health

Step-by-step explanation:

Answer:

ecosystem biodiversity is often used a measure of its overall health.

Step-by-step explanation:

Answer:

Major Arc

Step-by-step explanation:

A major arc is the larger angle between two points of a circle -- greater than 180 degrees of rotation, whereas minor arcs are the smaller of the two possible arcs, arcs that are less than 180 degrees.