Andy wants to find the distance across a river. In
order to find the distance CD, Andy stands at point
D, directly across from point C, and walks 200 feet
to the left, placing a marker at a point E. Andy
continues walking another 300 feet to point A, and
then follows the path to the left, walking until the
markers at points and C line up. Andy marks this
location B and measures AB. What is CD?

Answer:

28 m,  112 m

Step-by-step explanation:

x = length of short piece

4x = length of long piece

x + 4x = 140

5x = 140

x = 140/5 = 28

4x = 4(28) = 112

Answer:

Step-by-step explanation:

Factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278. There are 17 integers that are factors of 2556. The biggest factor of 2556 is 1278. Positive integers that divides 2556 without a remainder are listed below.

Every number is divisible by itself and 1.

Calculating factors of 2556

2556/1 = 2556        gives remainder 0 and so are divisible by 1

2556/2 = 1278        gives remainder 0 and so are divisible by 2

2556/3 = 852        gives remainder 0 and so are divisible by 3

2556/4 = 639        gives remainder 0 and so are divisible by 4

2556/6 = 426        gives remainder 0 and so are divisible by 6

2556/9 = 284        gives remainder 0 and so are divisible by 9

2556/12 = 213        gives remainder 0 and so are divisible by 12

2556/18 = 142        gives remainder 0 and so are divisible by 18

2556/36 = 71        gives remainder 0 and so are divisible by 36

2556/71 = 36        gives remainder 0 and so are divisible by 71

2556/142 = 18        gives remainder 0 and so are divisible by 142

2556/213 = 12        gives remainder 0 and so are divisible by 213

2556/284 = 9        gives remainder 0 and so are divisible by 284

2556/426 = 6        gives remainder 0 and so are divisible by 426

2556/639 = 4        gives remainder 0 and so are divisible by 639

2556/852 = 3        gives remainder 0 and so are divisible by 852

2556/1278 = 2        gives remainder 0 and so are divisible by 1278

2556/2556 = 1        gives remainder 0 and so are divisible by 2556

Answer:

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7 × 98

7 × 98 = 686

Answer:

77.4 inches

6 feet 4 inches

Step-by-step explanation:

what persent of 14 is 10.83 is 77.35

what persent of 84 is 77.3571428571 is 92.08

what is 92.08% of 84 is 77.34

77.34 inches to feet is 6 feet and 4 inches

There are 2 divisors of 4! x 3! x 2! x 1! which are perfect squares.

A number system is defined as a system of writing to express numbers.

The factorial 4! is 24

Factorial value of 3!=6

Factorial value 2!=2

Factorial value 1!=1

4! x 3! x 2! x 1! =24×6×2×1=288

288 can be written as a product 2 and 144 which are perfect squares.

So 2 and 144 are the divisors of 4! x 3! x 2! x 1!

Hence, there are 2 divisors of 4! x 3! x 2! x 1! which are perfect squares.

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The value of  Avogadro's number is 6.02214076 × 10²³. The ratio of the actual mass of an element to its atomic mass is always constant which is known as  Avogadro's number.

What is one mole?

One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.

The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.

The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of  6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.

It shows how many atoms or molecules make up one gram of an element's or compound's molecular weight. The value is "6.022 × 10²³" when the atomic mass of an element is divided by the actual mass of its atom.

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On solving the provided question, we can say that by equation 8 trainees are in group X

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Let a be the number of trainees in group X

76*a + 70 (30 - a) = 30*74

76a + 2,100 - 70a = 2,220

6a = 120

a = 20

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Answer:

79%

Step-by-step explanation:

Most of today's student calculators have built-in statistical functions.  I will use my old TI-83 Plus here:

normalcdf(20, 30, 25, 4)

The calculator returns 0.789.

Approximately 79% of the trees are between 20 and 30 years old

Answer:

68%.

Step-by-step explanation:

The mean is 25 and the standard deviation is 5. So 20 is one standard deviation below the mean and 30 is one standard deviation above the mean.

According to the Empirical Rule, 68% of the normal curve is between ±1 standard deviations. So the answer is 68%.

Each child's real height falls between 1.60 and 1.28, with the tallest child's height difference at 0.32 and the smallest child's height difference at 0.04 respectively.

a) The ranges that each child's actual height falls within is ;

Here, Daisy is 1.28 meters short while Isaac is 1.56 meters tall at his tallest.

b) The largest height difference between the tallest and shortest child is 1.60-1.28 =0.32m , while the smallest height difference is 1.60-1.56 = 0.04meters.

A number's possible range of values before being rounded or truncated is known as an error interval. Inequalities are frequently used to express error intervals as a range having a lower bound and an upper bound.

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Answer:

Acc.to question,

A+B=90° (since,they are complementary angles)

or,A+ A/2=90°(since,A is. twice the measure of B)

or,3A/2=90°

or,A=(90°×2)/3

:.A=60°

Also,

B=A/2=60/2=30°

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as calculated from the given data is 5.20 and 7.60.

The confidence interval for the difference of the population mean is calculated as,

CI = ( x1 - x2 ) +- z x √SD1²/n1 + SD2²/n2

= ( 82.9 - 76.5) +- 1.96 x √7.97²/293+ 6.66²/n2.82

=6.4 ± 1.199

=(v5.201 , 7.599)

therefore , approximately 5.20 , 7.60 .

Therefore , the confidence interval between them is found to be as , ( 5.20 , 7.60 ) answer.

The confidence interval is a calculation based on the statistics of the observed data that estimates the amount of uncertainty associated with a sample.

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Answer:

(10 1/3, 42)

Step-by-step explanation:

a1 = 1

a2 = a1×2 + 1/3 = 2 1/3

a3 = a2×2 + 1/3 = (a1×2 + 1/3)×2 + 1/3 = a1×4 + 2/3 + 1/3 =

= 4 + 3/3 = 5

a4 = a3×2 + 1/3 = ... = 10 1/3

b1 = 0

b2 = (b1 + 1/2)×4 = (0 + 1/2)×4 = 1/2 × 4 = 2

b3 = (b2 + 1/2)×4 = ((b1 + 1/2)×4 +1/2)×4 = 16×b1 + 16/2 + 4/2=

= 16/2 + 4/2 = 8 + 2 = 10

or (to check we made no mistake)

= (2 + 1/2)×4 = 8 + 2 = 10. => all ok, no mistake

b4 = (b3 + 1/2)×4 = ... = (10 + 1/2)×4 = 40 + 2 = 42

so, the fourth ordered pair (= the fourth elements of each sequence) is therefore (10 1/3, 42)

Answer:

$7.00

Step-by-step explanation:

20% = 0.2

35(0.2) = 7

Answer:

i believe it's (1, -3)

hope it helps!

By setting up the equation and solving we get the positive number is 2/5.

A positive number is a number greater than zero. In mathematical terms, it is a number that is greater than zero on the number line. Positive numbers are often represented with a "+" sign in front of them, but this is not always necessary as the positive sign is the default and is usually omitted.

An equation is a mathematical statement that asserts the equality of two expressions. It is a statement that asserts that the two expressions on either side of the "=" sign are equal and have the same value. The expressions on either side of the "=" sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation.

For example:

2x + 3 = 7

x(2x+x/2)=x

2x^2+x^2/2=x

5x^2/2=x

5x^2=2x

5x=2

x=2/5

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Step-by-step explanation:

a linear function is following

y = ax + b

that means the ratio of the y and x differences between the data points is constant (a).

an exponential function is in the form y = a^x. or some constant variations of it.

the base is constant (a), and the exponent of the constant is the variable (x).

1.

clearly exponential.

this is the typical graph of an exponential function.

it looks like y = 2^x, as e.g. f(4) = 2⁴ = 16, and the graph seems to be at least very close to this.

2.

exponential.

y = 3^(x - 0.5)

3¹ = 3

3² = 9

3³ = 27

3⁵ = 243

this is just y = 3^x shifted to the right by 0.5 units.

3.

linear.

the difference ratio between the data points is constant :

x is the row number (1, 2, 3, 4, 5, ...).

y is the number of seats per row (14, 16, 18, 20, 22, ...).

so,

(16-14)/(2-1) = 2/1 = 2

(18-16)/(3-2) = 2/1 = 2

...

(22-14)/(5-1) = 8/4 = 2

always constant (2).

4.

neither.

it is y = x²

when you compare 4. and 1. you see the clear difference between the 2 graphs.

5.

exponential.

remember, y = a^x.

well, here, a = 1/2. but that is still constant and doesnot change the principle.

the factor 10 stretches the graph a bit up (in fact, this 10 is the starting number of an exponential growth). but the function in its core is still exponential.

6.

linear.

when written that way, it just means that x = n, and for every increase of n by 1, y (f(n)) increases by +4.

so, the difference ratio stays constant (4/1 = 4).

Answer:

maybe c?... I'm sorry that's just my educated guess..

Answer:

No. 4/10 >4/6

Step-by-step explanation:

I hope this helps you :)

Answer:

y = -3x + 5/2

Step-by-step explanation:

y = -3x + 5/2

Answer:

A) Vertical angles

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

1 and 3 and 2 and 4 are vertically opposite angles or vertical angles, so option A is correct.

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

hope it helps...

have a great day!!

The line 2 is pointing towards the body of the cell, in the given image of a neuron.

The soma, or cell body, is the spherical part of the neuron that houses the nucleus. The cell body is linked to the dendrites, which transport information to the neuron, and the axon, which sends information to other neurons.

When one neuron receives information from another, the dendrites send it to the cell body. Depending on the signal strength, the cell body may then send the information to the axon.

The cell body's role is to regulate all of the cell's functions. It has several important organelles that aid in this process. Organelles are tiny organelles found within cells that each perform a specific function. The nucleus is the most important organelle within the cell body.

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Answer:

10

Step-by-step explanation:

The equation of a triangle is that all the angles add up to 180°.

So,

180 = 90 + 27 + (6x+3)

180 = 117 + (6x+3)

( Subtract 117)

63 = (6x+3)

( Subtract 3)

60 = 6x

( Divide by 6)

10 = x

For the given complementary angles, the measure of angle  A is found to be 45°.

For the stated question-

Angle A is complementary to Angles B.

So,

Angle A  + Angles B = 90°

Angle A  + 55° = 90°

Angle A = 90° - 55°

Angle A = 45°

Thus, the measure of angle  A is found to be 45°.

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Answer: Probably negative 69

Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

#B4nliest!

Answer:

☆ Emily has $16 more

Step-by-step explanation:

FOR JAXON:

You want to calculate the interest on $600 at 2.5% interest per year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $600.00.

r is the interest rate, 2.5% per year, or in decimal form, 2.5/100=0.025.

t is the time involved, 3....year(s) time periods.

So, t is 3....year time periods.

To find the simple interest, we multiply 600 × 0.025 × 3 to get that:

The interest is: $45.00

Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),

or 600.00 + 45.00 = 645.00.

Jaxon will have $645 after he closes his account.

FOR EMILY

You want to calculate the interest on $600 at 5.1% interest per year after 2 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $600.00.

r is the interest rate, 5.1% per year, or in decimal form, 5.1/100=0.051.

t is the time involved, 2....year(s) time periods.

So, t is 2....year time periods.

To find the simple interest, we multiply 600 × 0.051 × 2 to get that:

The interest is: $61.20

Usually now, the interest is added onto the principal to figure some new amount after 2 year(s),

or 600.00 + 61.20 = 661.20.

Emily will have $661 when she closes her account.

☆ Therefore, Emily will have $16 more than Jaxon.

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Step-by-step explanation:

7x-2 ) + (١١x -34)

so u will get the answer

after getting it u can easy get y

Answer:

Step-by-step explanation:

SHOW HIGH CLARITY IMAGE, BUT USE CONGRUENCE OF TRINALGES AND FIND X BY EQUATING THE GIVEN SIDE I GUESS

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