smokey the bear is in a 140 foot observation tower and sees a fire! The angle of depression is 3 degrees. find the horizontal distance from the tower to the fire.

The Equation of line F is y= -9/2x  + 59/2.

The Equation of line G  is y = 1/10 x .

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

For Line F:

slope = -9 /2

and, Equation of line F as

y - (-2) = -9/2 (x -(7))

y + 2= -9/2( x- 7)

y = -9/2x + 63/2 -2

y= -9/2x  + 59/2

For Line G:

Slope = (0 -(1))/ ( 0-(10))

slope = 1/10

and, Equation of line G as

y - (1) = 1/10 (x -10)

y-1 = 1/10 x - 1

y = 1/10 x

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ1

Answer:

6.5×10'3=6,500.

5.5×10'5=550,000

1.1×10'3=1,100

so as u can see the second number is greater

by 548,900

Answer:C

Step-by-step explanation: 5.5 is 500 times better than 1.1 I did the math.

5.5 x 10^5 = 550,000

1.1 x 10^3 = 1,100

500 times greater

One quarter pound is equal to 4 ounces.  A quarter pound is a unit of weight commonly used in cooking and food preparation.

To convert from quarter pounds to ounces, simply multiply the number of quarter pounds by 4.

For example, if you have 2 quarter pounds of cheese, the equivalent weight in ounces would be 2 x 4 = 8 ounces.

It's important to note that the pound is a unit of weight commonly used in the United States and some other countries, while in other countries such as the UK and Canada, the metric system is more widely used, with weight typically measured in grams or kilograms.

Here you can learn more about ounces in pound

https://brainly.com/question/10091320#

#SPJ11

Answer: HONEY I NEED MORE INFO

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Producing rDNA involves isolating and cleaving DNA, inserting fragments into a vector, and transforming host cells. rDNA can be introduced via transformation, transfection, or viral vectors. Clinical applications include protein production, gene therapy, vaccines, and diagnostics.

Producing a recombinant DNA (rDNA) vector involves several general steps. Here are the three main steps involved in the process:

Isolation and Cleavage of DNA:

The first step is to isolate the desired DNA fragments from the source organism. This can be done using various techniques such as PCR (Polymerase Chain Reaction) or restriction enzyme digestion. Restriction enzymes are enzymes that cut DNA at specific recognition sites. By using the appropriate restriction enzymes, the desired DNA fragment and a vector DNA can be cut at specific sites. The vector is usually a plasmid, which is a small circular DNA molecule.

Insertion of DNA Fragments into the Vector:

Once the DNA fragments and vector have been cut, they are mixed together and joined through a process called ligation. DNA ligase is used to catalyze the formation of covalent bonds between the ends of the DNA fragments and the vector. This creates a recombinant DNA molecule containing the desired DNA fragment within the vector. The recombinant DNA molecule is then introduced into host cells for replication.

Transformation of Host Cells:

The recombinant DNA molecules need to be introduced into host cells to produce multiple copies of the recombinant DNA. This is typically done using a process called transformation. Host cells, such as bacteria or yeast, are treated in a way that makes them more receptive to taking up the recombinant DNA. Methods for transformation include heat shock, electroporation, or using chemical agents. Once the host cells have taken up the recombinant DNA, they can be grown in culture to produce large quantities of the desired DNA fragment.

Introduction of rDNA into Cells:

Recombinant DNA can be introduced into cells using various methods, depending on the type of cells being targeted. Some common techniques include:

Transformation: As mentioned earlier, host cells, such as bacteria or yeast, can be treated to make them receptive to taking up the recombinant DNA. This can be achieved by exposing the cells to heat shock, electroporation, or using chemical agents.

Transfection: This method is used for introducing rDNA into eukaryotic cells, including animal cells. It involves the use of techniques such as calcium phosphate precipitation, liposome-mediated transfection, or electroporation.

Viral Vectors: Certain viruses, such as retroviruses, adenoviruses, or lentiviruses, can be modified to carry the recombinant DNA. These viral vectors can then infect target cells and deliver the rDNA into the host genome.

Clinical Applications of rDNA:

Recombinant DNA technology has revolutionized biomedical research and has led to numerous clinical applications. Some important applications include:

Production of Therapeutic Proteins: rDNA technology allows for the production of large quantities of therapeutic proteins, such as insulin, growth factors, clotting factors, and monoclonal antibodies. These proteins can be used to treat various diseases, including diabetes, cancer, and genetic disorders.

Gene Therapy: rDNA vectors can be used to deliver functional copies of genes into target cells to correct genetic defects. This holds promise for the treatment of inherited diseases caused by single gene mutations, such as cystic fibrosis and muscular dystrophy.

Vaccine Development: Recombinant DNA technology has been instrumental in the development of vaccines. By expressing specific antigens from pathogens, recombinant vaccines can be created to stimulate an immune response without causing disease.

Diagnostic Tools: Recombinant DNA techniques are used to produce specific DNA or RNA probes for diagnostic purposes. These probes can detect the presence of specific genes or mutations associated with diseases, aiding in early detection and personalized medicine.

for such more question on isolating

https://brainly.com/question/27746495

#SPJ8

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

z = (raw score - mean) / standard deviation

So,

We can write,

Mean of 6 minutes and variance = 1 minutes, hence:

Standard deviation = √variance = √1 = 1 minutes

For > 6 minutes:

z = (6 - 5)/2 = 1/2=0.5

P(z > 0.5) = 1 - P(z < 0.5)

P(z > 0.5) = 1 - 0.6915

P(z > 0.5) = 0.3085

Therefore,

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

To learn more about information visit Decimal place :

brainly.com/question/23795454

#SPJ4

The probability that your class of 20 students will have a mean completion time greater than 60 minutes on the unit 5 test is of:

0%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 48, \sigma = 15, n = 20, s = \frac{15}{\sqrt{20}} = 3.354\)

The probability is one subtracted by the p-value of Z when X = 60, considering the standard error calculated with the Central Limit Theorem, hence:

Z = (60 - 48)/3.354

Z = 3.58

Z = 3.58 has a p-value of 1.

1 - 1 = 0.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

Answer:

\((x-7)^2+y^2=1\)

Step-by-step explanation:

Hi there!

Equation of a circle: \((x-h)^2+(y-k)^2=r^2\) where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

\((x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2\)

2) Plug in the radius (1)

\((x-7)^2+y^2=1^2\\(x-7)^2+y^2=1\)

I hope this helps!

Answer:

Step-by-step explanation:

the product of odd numbers is always odd

the product of even numbers is always even  

the product of odd number and even one is always even

the sum of two odd numbers is always even

and the sum of two even numbers is always even

so if x is even number we have:

x²=x•x   - even number

x⁴=x²•x²  - even number

3x²=3•x²  - even number

y = x⁴+3x²   - even number

and if x is odd number we have:

x²=x•x   - odd number

x⁴=x²•x²  - odd number

3x²=3•x²  - odd number

y = x⁴+3x²   - even number

Answer:

6ft = 72 in.

Step-by-step explanation:

1 foot = 12 inches

6 feet = 12 inches * 6 = 72 inches

Answer:

A: 34 degrees

B: 102 degrees

Step-by-step explanation:

Complementary angles = 90 degrees

Supplementary angles = 180 degrees

(a) 90 - 56 = 34

(b) 180 - 78 = 102

Answer:

87.92 m

Step-by-step explanation:

Circumference = pi*diameter

3.14*28m = 87.92 m

By using factοrs, the numbers are 17, 35, 12, 50.

A factοr is a number that can be evenly divided intο anοther number withοut leaving a remainder. In οther wοrds, when yοu divide οne number by anοther number and the remainder is zerο, then the secοnd number is a factοr οf the first number.

a) The οnly number less than 40 with 7 as a factοr is 7 itself. Since the sum οf the digits is 8, and 7 is already οne οf the digits, the οther digit must be 1. Therefοre, the number is 17.

b) The twο factοrs οf the mystery number are 3 and 5. The οnly number less than 100 with 3 and 5 as factοrs, and with digits that are 1 apart, is 35.

c) The cοmmοn multiple οf 3, 4, and 10 is 60, which is a factοr οf 120. The οnly factοr οf 120 with digits that add up tο 6 is 12 (1+2=3).

d) The cοmmοn multiple οf 2 and 5 that is a factοr οf 100 is 10. The οnly number less than 100 that is a multiple οf 2 and 5 and has digits that add up tο 5 is 50 (5+0=5).

To know more about factors visit:

brainly.com/question/30242986

#SPJ1

Answer:

2.5 cm is the radius

Step-by-step explanation:

Answer:

Step-by-step explanation:

ax2 + bx + c = 0

Answer:

Sides of the rectangle are 3 and 4

Step-by-step explanation:

x=width

y=length

Area = xy = 12

x = 12/y    plug this in to the next equation

x² + y² = 5² = 25

(12/y)² + y² = 25

144/y² + y² = 25    multiply by y² on both sides

144 + y⁴ = 25y²      rewrite the equation

y⁴ -25y² + 144 = 0

rewrite with z=y²  and  z²=y⁴

z² - 25z + 144 = 0    now you can use the quadratic formula to find the roots of z (a=1, b=-25, c=144).  Consider only the positive roots of z:

z = 16, 9

z = y² = 16, 9

y = √16, √9

y = 4, 3

x = 12/4 = 3

x = 12/3 = 4

x = 4 = length

y = 3 = width

ANSWER

• A = 55.5°

• B = 45.5°

• C = 79.1°

EXPLANATION

The lengths of the three sides of a triangle are given. We have to use the Law of Cosines to find the measures of the interior angles,

Solving each of the equations above for the angles, A, B, and C, we can find their measures,

Replace the known values and solve,

Repeat for angle B,

And for angle C,

Hence, the three interior angles of this triangle, rounded to the nearest tenth of a degree, are:

• A = 55.5°

• B = 45.5°

• C = 79.1°

Nombre de globules rouges dans un corps humain = 25 × 10¹²

Ainsi, le nombre de globules rouges dans un corps humain:

\( = \tt25 \times {10}^{2} \)

\( = \tt25 \times 1000000000000\)

\(\color{plum} =\tt 25000000000000\)

Ainsi, le corps humain contient 25000000000000 de globules rouges.

Pourcentage de globules rouges qu'un humain perd lorsqu'il est malade = 12%

Nombre de cellules sanguines qu'un humain aura laissées lorsqu'il est malade :

\( = \tt 12\% \: of \: 25000000000000\)

\( = \tt \frac{12}{100} \times 25000000000000\)

\( =\tt \frac{12 \times 25000000000000}{100} \)

\( =\tt \frac{300000000000000}{100} \)

\(\color{plum} =\tt 3000000000000\)

Le nombre de globules rouges qu'un humain a lorsqu'il est malade = 3000000000000

Cela peut être écrit en notation scientifique comme :

\(\color{plum} =\tt\bold{ 3.0 \times {10}^{12} }\)

▪︎Nombre de cellules sanguines qu'un humain a lorsqu'il est malade = 3.0 × 10¹²

Answer: 0

Step-by-step explanation:

Evaluate for x =64

64 − 64

Answer:

x=29

Step-by-step explanation:

The first triangle:the unknown angle is 58°

180°-58=122

122+2x=180

2x=180-122

2x=58

x=58/2=29°

Answer:

24.1 or 24 , 1

Step-by-step explanation:

The number to the immediate right of the comma/decimal is in the tenths place. Look at the number to the right of it. If it is a 0, 1, 2, 3, or 4, the number in the tenths place stays the same. If it is a 5, 6, 7, 8, or 9, the number in the tenths place goes up one digit.

Answer:

-4 and -2

Step-by-step explanation:

f(x) = 1 means y = 1

When y = 1, x could be either -4 or -2 so the values of x when y = 1 are -4 and -2

Answer:

4096pi/3

Step-by-step explanation:

Volume is pi * r^2 * h/ 3

r (radius) = 16

h (height)= 16

pi * 256 * 16/3 = 4096pi/3

Answer:

9%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since not provided, it is assumed that the spinner has 4 colors.

Probability of green is one out of four = 1/4

Probability of green out of 60 spins:

As spinner lands on green 10 times, then it is 5 times less than expected.

Answer:

Answer:

30.25

Step-by-step explanation:

All angles of a line must add up to 180. Since we already know that one angle is 90 degrees, we know that the other angles should add up to 90 degrees in order for all of the angles to add up to 180 degrees:

(3x-7)+(x+8)=90

4x+1=90

4x=89

x=22.25

22.25+8= 30.25

The equations represent four different parabolas with different shapes and orientations, but all of them have the same axis of symmetry, which is the y-axis (because there is no x term).

The collection of all points in a plane that are equally spaced from a fixed line and another fixed point in the plane that is not on the line is known as a parabola. The focus of the parabola is the fixed point (F) and the fixed point (D) is known as the directrix.

The equation of a parabola in standard form is:

y = a x² + b x + c

where "a" is the coefficient of the quadratic term (x^2), "b" is the coefficient of the linear term (x), and "c" is the constant term.

Looking at the given equations:

So, the equations represent four different parabolas with different shapes and orientations, but all of them have the same axis of symmetry, which is the y-axis (because there is no x term).

To graph each parabola, you can use the vertex form of the equation:

y = a (x - h)² + k

where (h, k) is the vertex of the parabola.

Learn more about equation of parabola on:

https://brainly.com/question/30285039

#SPJ4

Answer:

c = 1

Step-by-step explanation:

Given

x² + 2x + c

To complete the square

add ( half the coefficient of the x- term )² to x² + 2x

x² + 2(1)x + 1

= (x + 1)²

Thus

x² + 2x + 1 = (x + 1)² ← a perfect square

with c = 1