Use the information in the diagram to determine the height of the tree to the nearest foot.
the diagram is not to scale.

A. 60
B. 30
C. 28
D. 120

Answer:

Step-by-step explanation:

14 cows

46 turkeys

If all the animals were turkeys, there would be 120 legs. There are 28 more than that. Replacing a turkey with a cow adds 2 legs, so there must be 14 such replacements.

There are 14 cows and 46 turkeys.

_____

Check

14×4 + 46×2 = 56 + 92 = 148 . . . . legs

14 + 46 = 60 . . . . . . heads

Answer:

x = 1 and y = 5

Step-by-step explanation:

Use substitution because you know that x = y - 4, and plug this into the first equation to get -10(y - 4) + 3y = 5, or -10y + 40 + 3y = 5. This is -7y = -35 so y = 5. Plug this into the 2nd equation to get that x = 1 and y = 5.

Answer:

Printer cost 265

Computer cost 795

Step-by-step explanation:

1060 / 4 = 265

he cost of the printer is $265, and the cost of the computer is $795.

The question involves solving a system of equations to find the cost of two items based on their total cost and the ratio of their costs. To find the cost of a computer and a printer, we can set up the equations based on the given information: the total cost is $1060, and the cost of the computer is three times the cost of the printer.

Let's define C as the cost of the computer and P as the cost of the printer. According to the problem, we have two equations: C + P = $1060 (total cost) and C = 3P (cost relationship). We can substitute the second equation into the first to find P: 3P + P = $1060, so 4P = $1060. Dividing both sides by 4, we get P = $265. Using this value, we can find C by multiplying P by 3, giving us C = 3 * $265 = $795.

Thus, the cost of the printer is $265, and the cost of the computer is $795.

Answer:

z=-0.35 ( Depending on value given)

Step-by-step explanation:

Let the value be x. For calculation purposes, let us take x as 3.68. ( as mean is 4.68). We may assume a higher value as well. Depends on the given value.

The formula for z score is given as-

z=(value-mean)/Standard Deviation

z=(3.68-4.68)/2.83

z=-0.35

Answer:

Step-by-step explanation:

1. For this sort of question a graphing calculator or spreadsheet are suitable tools. The attached shows the linear regression line to have the equation ...

... y = 0.937976x + 12.765

where x is years since 2000, and y is average tuition cost in thousands.

2. The y-intercept is the year-2000 tuition: $12,765.

3. Evaluating the formula for x=20 gives y ≈ 31.524, so the year-2020 tuition is expected to be $31,524.

4. The slope is the rate of change of tuition with respect to number of years. It is the average increase per year (in thousands). It amounts to about $938 per year.

5. [not a math question]

60%

The percent change can be found from ...

... ((new value)/(old value) -1) × 100%

... (1520/950 -1) × 100% . . . . . . filling in your numbers

... (1.6 - 1) × 100% = 60% . . . . . . simplify

Attendance this year was 60% higher than last year.

Answer:

C

Step-by-step explanation:

When x = 0, y = 9

When x = 11, y = 3

Find 11 on the horizontal line and go up to the crossing and the follow the line till the y-axis(going to the left direction(. Did you see the 3?

That is the (11 | 3) point

Answer:

1) By SAS theorem, ΔADE≅ΔCDF

2) By SSS theorem, ΔBDE≅ΔBDF

Step-by-step explanation:

Consider isosceles triangle ABC (see diagram).

1. In triangles ADE and CDF:

By SAS theorem, ΔADE≅ΔCDF.

2. In triangles BDE and BDF:

Be SSS theorem, ΔBDE≅ΔBDF.

Answer:

C.) 0.9656

Step-by-step explanation:

Using a z-table look for -1.82 and we obtain : 0.0344.  So what's the probability that z > -1.82 is the same as saying when is z > 0.0344? Since we're talking about probabilities of an outcome from ranging from 0% to 100% meaning 0 through 1 in decimals then:

1 - 0.0344 = 0.9656

So the probability that z>-1.82 is C.) 0.9656

Using the normal distribution, it is found that there is a 0.9656 probability that z is greater than -1.82, option B.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

z = -1.82 has a p-value of 0.0344.

1 - 0.0344 = 0.9656.

0.9656 probability that z is greater than -1.82, option B.

A similar problem is given at https://brainly.com/question/5954134

Answer:

Helen's salary increased more.

Step-by-step explanation:

We know that Clint's salary increased from ​$24000 to $36000 over a​ three-year period.​

So the increase in Clint's salary will be = 36000 - 24000 = $12000

While Helen's salary increased from ​$29000 to $43, 500 over the same period of 3 years.

So the increase in Helen's salary will be = 43500 - 29000 = $14500

Therefore, in absolute terms, Helen's salary has increased more.

Answer:

[tex]\begin{array}{ccc}\text{Radius}&\text{Volume of sphere}&\text{Volume of cylinder}\\&&\\1&\dfrac{4}{3}\pi &2\pi \\&&\\2&\dfrac{32}{3}\pi &16\pi \\&&\\3&36\pi &54\pi \\&&\\4&\dfrac{256}{3}\pi &128\pi \\&&\\5&\dfrac{500}{3}\pi &250\pi\end{array}[/tex]

Step-by-step explanation:

Use formulas for the volumes:

[tex]V_{sphere}=\dfrac{4}{3}\pi r^3,\\ \\V_{cylinder}=\pi r^2h=\pi r^2\cdot 2r=2\pi r^3.[/tex]

1. When r=1,

[tex]V_{sphere}=\dfrac{4}{3}\pi\cdot 1^3=\dfrac{4}{3}\pi,\\ \\V_{cylinder}=2\pi \cdot 1^3=2\pi.[/tex]

2. When r=2,

[tex]V_{sphere}=\dfrac{4}{3}\pi\cdot 2^3=\dfrac{32}{3}\pi,\\ \\V_{cylinder}=2\pi \cdot 2^3=16\pi.[/tex]

3. When r=3,

[tex]V_{sphere}=\dfrac{4}{3}\pi\cdot 3^3=36\pi,\\ \\V_{cylinder}=2\pi \cdot 3^3=54\pi.[/tex]

4. When r=4,

[tex]V_{sphere}=\dfrac{4}{3}\pi\cdot 4^3=\dfrac{256}{3}\pi,\\ \\V_{cylinder}=2\pi \cdot 4^3=128\pi.[/tex]

5. When r=5,

[tex]V_{sphere}=\dfrac{4}{3}\pi\cdot 5^3=\dfrac{500}{3}\pi,\\ \\V_{cylinder}=2\pi \cdot 5^3=250\pi.[/tex]

Note that for all r,

[tex]\dfrac{V_{sphere}}{V_{cylinder}}=\dfrac{\frac{4}{3}\pi r^3}{2\pi r^3}=\dfrac{2}{3}.[/tex]

Answer:

Please, see the attached file.

Thanks.

Step-by-step explanation:

Please, see the attached file.

Thanks.

Answer:

5 weeks

Step-by-step explanation:

John creates apps at the rate ...

... (3 apps)/(6 weeks) = 1/2 app/week

Ben creates apps at the rate ...

... (3 apps)/(2 weeks) = 3/2 app/week

Together, they create ...

... (1/2) app/week + (3/2) app/week = 2 app/week

So, the time for 10 apps is ...

... (10 app)/(2 app/week) = 5 week

_____

Comment on the problem

If the guys actually work at a uniform rate like this, the result after 5 weeks will be 9 completed apps and 2 half-completed apps. Their rate is 10 apps in 5 weeks, but their actual output in that time period may not be 10 completed apps.

One should beware of the "mythical man-month." Rates of job completion depend on many factors. Individual average rates cannot always be summed when folks "work together."

Answer:

Two answers are given because the question is "unexpected." cos(θ) = √(3/4) is more commonly seen in such problems than is cos(θ) = (√3)/4, which is what you have written here. Choose the answer that matches your intent.

Step-by-step explanation:

The cosine function is an even function, so cos(θ) = cos(-θ).

The relationship between sin(θ) and cos(θ) is ...

... sin(θ) = ±√(1 -cos(θ)^2)

For sin(θ) < 0 and cos(θ) = (√3)/4, ...

... sin(θ) = -√(1 -3/16) = -√(13/16)

... sin(θ) = -(√13)/4

For sin(θ) < 0 and cos(0) = √(3/4), ...

... sin(θ) = -√(1 -3/4) = -√(1/4)

... sin(θ) = -1/2

Answer:

-√13/4 took the test.

d. $50.94

The deposit is for 1 year (4 quarters) at an annual rate of 5% (1.25% per quarter). The table value for those parameters is 1.05094. Multiply this value by the $1000 amount Miguel deposited to find his ending balance.

... ending balance = $1000 × 1.05094 = $1050.94

Since his deposit amount was $1000, the interest earned is ...

... $1050.94 -1000.00 = $50.94

Answer:

hyperbola

Step-by-step explanation:

49x^ 2 - 16y^ 2 = 784

Divide each side by 784

49/784x^ 2 - 16/784y^ 2 = 784

x^2/16 - y^2/49 = 1

This is a hyperbola  centered at (0,0)

If it has subtraction, it has to be a hyperbola

Answer:

Thus, The conic which fits the given equation correctly is hyperbola

Step-by-step explanation:

The equation is given to be : 49x² - 16y² = 784

Now, we need to find the correct conic section which fits this given equation

So, to find the correct conic, we will reduce the given equation into the standard form :

So, make R.H.S. 1 by dividing each term by 784

[tex]\frac{49x^2}{784}-\frac{16y^2}{784}=\frac{784}{784}[/tex]

[tex]\implies \frac{x^2}{16}-\frac{y^2}{49}=1[/tex]

[tex]\implies\frac{x^2}{4^2}-\frac{y^2}{7^2}=1[/tex]

This is the standard equation of hyperbola, where a = 4 and b = 7

Thus, The conic which fits the given equation correctly is hyperbola

Answer:

3 gallons? haha

Step-by-step explanation:

The question did not make that much sense but the only amount of anything given in the question was 3 gallons.

The questions says the maid gets 3 gallons of milk from the cow everyday. SO if we are wondering how much she makes in one day it has to be 3 gallons because it does not give any other information...

Assuming the traditional context of 'The Twelve Days of Christmas' with 8 maids a-milking, each maid gets 3 gallons of milk from her cow, so they would collectively get 24 gallons of milk in one day.

The student is asking how much milk the maids a-milking would get in one day if each maid gets 3 gallons of milk from her cow. To find the total amount of milk gathered by the maids in one day, we need to know the number of maids a-milking. Assuming a traditional context of the song 'The Twelve Days of Christmas', there are 8 maids a-milking. Therefore, the calculation would be:

8 maids x 3 gallons per maid = 24 gallons

So, the maids a-milking would get a total of 24 gallons of milk in one day.

It is important to note that the unit of measurement appropriate for such a quantity of milk is gallons, which is useful for larger capacities, such as the amount produced by a dairy farm operation.

Answer:

HL Congruence Theorem

Step-by-step explanation:

Answer:

HL congruence theorem

Step-by-step explanation:

Given that WZX is an isosceles triangle with sides WX=WZ

Also given that WY is altitude on side XZ

Consider triangles WXY and WZY

WX=WZ             Given

WY=WY             REflexive property

Angle wyz =angle wyx     Right angle

Hence by HL congruence theorem, since one leg and hypotenuse are equal we get the two triangles to be congruent.

A. Yes, because both points are equidistant from the center of the circle.

The point (0, 5) is 5 units from the point (0, 0).

The point (0, -5) is 5 units from the point (0, 0).

The given points are equidistant from the circle center at (0, 0), so both will lie on the circle—along with any other points that are 5 units from (0, 0).

Answer:

27 and 40

Step-by-step explanation:

Final answer:

The sum of two numbers is 67 and the difference is 13. The two numbers are 40 and 27.

Explanation:

Let's solve this problem step by step:

Therefore, the two numbers are 40 and 27.

The problem is symmetrical, so proof for ΔCDG can serve as a model for proof for ΔCEH.

∠DGA ≅ ∠DCA ≅ 90° . . . . given

∠GAD ≅ ∠CAD . . . . definition of angle bisector AD

AD ≅ AD . . . . reflexive property

ΔDGA ≅ ΔDCA . . . . AAS congruence theorem

CD ≅ GD . . . . CPCTC

∴ ΔCDG is isosceles . . . . definition of isosceles triangle (2 sides congruent)

_____

To do the same for ΔCEH, replace "D" with "E", replace "G" with "H", and replace "A" with "B". The rest of the logic applies.

Answer:

y = 2 3/8

Step-by-step explanation:

Multiply by the denominator. This gives a linear equation that can be solved in the usual way.

... 3 = 8(y -2)

Divide by 8.

... 3/8 = y - 2

Add 2

... 2 3/8 = y

_____

In problems involving rational expressions, it often works well to multiply by the product of the denominators, or by their least common multiple, if that is easy to find. Doing this eliminates fractions. Here there is only one denominator (y-2), so we multiply by that.

Answer:

Jeff got 20 answers right.

Step-by-step explanation:

The maximum number of points Jeff can get is 100. (25 * 4) However, for each question he gets wrong, he's actually losing 6 points because he doesn't get the four points for getting right, and has the additional -2 points for getting it wrong. Since he only got a score of 70, that means he lost 30 points.

30/6 = 5. So he missed 5 question and got 20 question right.

As per the given values, Jeff got 20 questions right.

Total questions answered = 25

Total points for each correct answer = 4

Total points for each incorrect answer = 2

To find the number of questions Jeff got right, we can set up the equation:

4x - 2(25 - x) = 70,

where x represents the number of questions he got right.

Simplifying the equation, we get -

6x - 50 = 70.

Adding 50 to both sides, we have 6x = 120.

Dividing both sides by 6, we get x = 20.

Therefore, Jeff got 20 questions right.

https://brainly.com/question/40214390

#SPJ2

The answer is C) 41 hope this helped

The third-degree polynomial with – 3 and 2 as its only zeros is x³ + x² – 8x – 12, which can be factored as (x+3)(x-2)(x-2).

A third-degree polynomial with – 3 and 2 as its only zeros must be in the format of A(x+3)(x-2)(x-C), where A and C are constants, and C is possibly another zero of the polynomial.

Given the four options, the only polynomial that fits this format and has – 3 and 2 as zeros is x³ + x² – 8x – 12.

To verify, we can factor it: (x+3)(x-2)(x-2), which shows that 2 is a zero of multiplicity 2, and – 3 is also a zero.

There are no other real zeros besides these, so it is the correct polynomial.

Answer:

x=8

Step-by-step explanation:

Since this is  an isosceles triangle, the angles in the triangle are 4x, 4x, and 84.  The sum of the three angles in a triangle are 180.

4x+4x+ 84 = 180

Combine like terms

8x+84 = 180

Subtract 84 from each side

8x+84-84 = 180 - 84

8x = 96

Divide each side by 8

8x/8 = 96/12

x = 8

Evan has the most in his beaker.

This is because:

0.75 < 0.8 < 1.05 < 1.2.

Answer:

36 and 24

Step-by-step explanation

36 - 24 = 12

36 + 24 = 60

Answer:

1 min and 40 sec

Step-by-step explanation:

well for every ounce it takes 5 sec

5 x 20 = 100

I hope i did this right ^_^

Answer:

100 seconds

Step-by-step explanation:

We are given the following data in the question:

                              Time:      0       30       60       90      120      

Ounces of Bottles filled:      0        6         12         18       24

Where time is in seconds and the bottles are filled in ounces.

Amount of water filled in 30 seconds =  6 ounces

Amount of time taken to fill 1 ounce of water = [tex]\frac{30}{6}[/tex] = 5 seconds

We need to find the time to fill 20 Ounces

It is clear from the data that 18 ounces of water will fill in 90 seconds.

We have to find the time to fill 2 ounces of water.

Time taken to fill two ounces of water = [tex]2\times 5[/tex] seconds = 10 seconds.

Total time taken to fill 20 ounces of water =  990 + 10 = 100 seconds =  1 Minute 40 Seconds

Answer:

Answer - 160

Step-by-step explanation:

2L+2W = 430

L = 3W-5

2(3W-5)+2W = 430

6W-10+2W = 430

8W = 440

W = 55 and L = 3(55)-5 = 160

Answer:

Length = 160 and width = 55 yards

Step-by-step explanation:

Perimeter =  2L + 2W  where L = the length and W = the width.

L = 3W - 5   (given).

So substituting for L is the formula for the perimeter:-

2(3W - 5) + 2W = 430

6W - 10 + 2W = 430

8W = 440

W = 55 yards.

So the Length L = [430 - 2(55]) / 2  = 160 yards.