please help !!!!!
What is the slope of the line shown in the graph?

A. -3/2
B. -1/2
C. 3/2

Answer:

The answer is negative thirty

Answer:

The answer is -450/15 = -30

Step-by-step explanation:

3 3/5 and -8 1/3 are numbers in mixed fractions. For getting the answer, the numbers must be converted into improper fractions with the formula =

Quotient * Divisor + Remainder = Dividend

Therefore;

=>   3 3/5 = 3 * 5 + 3 = 18/5

=>   -8 1/3 = -8 * 3 + 1 = -25/3

Now, we multiply the improper fractions.

=>   18/5 * (-25/3)

=>   -450/15

=>   -30 is the final answer

Hope this helps you!

Please find attached herewith the solution of your question.

Answer: 2.8 m

Hope it helps.

If you have any query, feel free to ask.

The length of the longer wire is 82 feet.

Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.

We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.

In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:

cos(θ) = adjacent/hypotenuse = 16/L

Given that cos(θ) = 8/41, we can substitute this value into the equation:

8/41 = 16/L

To solve for L, we can cross-multiply and solve for L:

8L = 41 * 16

L = (41 * 16)/8

L = 82

Therefore, the length of the longer wire is 82 feet.

In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.

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Answer:

slope = \(\frac{2}{5}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = \(\frac{1-(-1)}{3-(-2)}\) = \(\frac{1+1}{3+2}\) = \(\frac{2}{5}\)

Answer:

A = 1/2bh

Step-by-step explanation:

The formula for an area of a triangle is always going to be one-half of the base times the height.

1. Flo Flea missed record for jumping from one dog's ear to the other by 7 mm and 2. Flynn Flea missed record by 1 mm.

When examining what two objects do not have in common, it is typical to start with their differences.

Given data:

1. Subtract Flo Flea' jump from  Record for jumping to get the number for record missed.

= 94 - 87

= 7 mm

Flo Flea missed record by 7 mm.

2. Subtract Flynn Flea' jump from  Record for jumping to get the number for record missed.

= 94 - 93

= 1 mm

Flynn Flea missed record by 1 mm.

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9514 1404 393

Answer:

  (A) -4 and -2

Step-by-step explanation:

The constant in the function tells you f(0) = 5.

You know that the positive leading coefficient means the value of f(x) will be negative for x-values smaller than some number. The offered answer choices indicate the value x = -4 is a lower bound on the value of c. So, -4 < c < 0, for sure.

To further refine the interval, you would need to know f(-2) and/or f(-1).

  f(-2) = (-2)³ -2(-2) +5 = -8 +4 +5 = 1

Then -4 < c < -2.

_____

I find a graphing calculator to be very helpful locating zeros of polynomials.

There are 896 trips will it take him to haul all of the dirt away.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The rectangular hole is 8 feet wide, 16 feet long, and 7 feet deep.

Now,

Since, The rectangular hole is 8 feet wide, 16 feet long, and 7 feet deep.

And, His pickup truck can haul one cubic meter.

Hence, Number of trips will it take him to haul all of the dirt away will be;

⇒ 16 × 7 × 8 / 1

⇒ 896

Thus,  Number of trips = 896

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Answer: If interest is not given, it would be 25,000+ interest as your answer

Step-by-step explanation:

Answer:

x > -5, so the correct answer is C.

Step-by-step explanation:

Radius (r) = 2.8 feet

circumference (c)

= 2πr

= 2 * 3.14 * 2.8

= 17.584 feet

Answer: D. 30.48 miles

Step-by-step explanation:

You basically use Pythagorean Theorem!

a2 + b2 = c2

Square root 20^2 +23^2

=√20^2 + 23^2

=20 x 2 + 23 x 2

= 929

And round it=

30.48 miles.

Answer:

6.09+3.84=9.93 is the desired answer

Step-by-step explanation:

Cashews total cost step by step

1.74×3.5

Multiply 1.74 and 3.5 to get 6.09.

6.09

Peanuts total cost step by step

1.92×2

Multiply 1.92 and 2 to get 3.84.

3.84

Answer:

csc θ = 13/12

Step-by-step explanation:

cos θ = 12/13

Formula: cos θ = 1/cscθ

Its just the reciprocal.

solve:

1/csc θ = 12/13

csc θ = 13/12

Answer:

\(\textsf{a)} \quad \text{cosec}\:\theta=\dfrac{13}{12}\)

Step-by-step explanation:

Given cosine trigonometric identity:

\(\boxed{\cos\theta=\dfrac{12}{13}}\)

To find the value of cosec θ, use the trigonometric identity:

\(\boxed{\text{cosec}\; \theta=\dfrac{1}{\cos\theta}}\)

Substitute the given value of cos θ into the cosec θ identity:

\(\implies \text{cosec}\:\theta=\dfrac{1}{\frac{12}{13}}\)

\(\implies \text{cosec}\:\theta=1 \div \dfrac{12}{13}\)

\(\implies \text{cosec}\:\theta=1 \times \dfrac{13}{12}\)

\(\implies \text{cosec}\:\theta=\dfrac{13}{12}\)

Therefore, the value of cosec θ is:

\(\boxed{\text{cosec}\:\theta=\dfrac{13}{12}}\)

Answer:

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

Vertex form of a quadratic function:

Given (h, k) = (-2, -13) and a point (0, - 5).

Substitute all into equation and solve for a:

The parabola is:

Convert it to the standard form:

Answer:

\(f(x)=2x^2+8x-5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given:

Substitute the given vertex and point into the Vertex formula and solve for a:

\(\implies -5=a(0-(-2))^2+(-13)\)

\(\implies -5=a(0+2)^2-13\)

\(\implies -5=4a-13\)

\(\implies 4a=8\)

\(\implies a=2\)

Substitute the given vertex and found value of a into the Vertex formula:

\(y=2(x+2)^2-13\)

The standard form of a quadratic function is  f(x) = ax² + bx + c

Expand the function in vertex form to standard form:

\(\implies y=2(x^2+4x+4)-13\)

\(\implies y=2x^2+8x+8-13\)

\(\implies y=2x^2+8x-5\)

Answer:

=0

Step-by-step explanation:

4(−2)2+(8)(−2)+(3)(−2)+6

=(4)(4)+(8)(−2)+(3)(−2)+6

=16+(8)(−2)+(3)(−2)+6

=16+−16+(3)(−2)+6

=0+(3)(−2)+6

=0+−6+6

=−6+6

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

x = -6

Step-by-step explanation:

Answer:

it is  she thought that the concentration of allicin might be to low.... decrease the number of new tumors

why? because its asking to selct the part where its revising her hypotheses and thats exaclty what she did she analyzed what happened.

Hello !

Answer:

\(\Large \boxed{\sf length=13cm}\)

Step-by-step explanation:

The volume of a pyramid is given by \(\sf V_{pyramid}=\frac{1}{3} \times B\times h\) where B is the area of the base and h is the height.

This is a rectangular pyramid. We have where \(\sf B=l\times w\) l is the length and w is the width (breadth).

So \(\sf V_{pyramid}=\frac{1}{3} \times l\times w\times h\)

Given :

Let's replace h, w, l, \(\sf V_{pyramid}\) with their values in the previous formula :

\(\sf 728=\frac{1}{3} \times x\times 8 \times 21\\728=56x\)

Let's solve for x !

Divide both sides by 56 :

\(\sf \frac{56x}{56} =\frac{728}{56}\\ \boxed{\sf x=13cm}\)

Have a nice day ;)

Answer:

3/7

Step-by-step explanation:

slope = \(\frac{y2 - y1}{x2 - x1}\) = \(\frac{5-8}{0-7}\) = -3/-7 = 3/7

Answer: 6

Step-by-step explanation:7 -1=6

Answer:

The bottom one ....see below

Step-by-step explanation:

Using reference angle of pi/8   and half angle trig identity:

cos ( angle/2) = -sqrt  (1 + cos (angle) /2)

cos ( pi/4  / 2) = - sqrt (1+ cos ( pi/4)/2)

  cos (pi/8)      = -    sqrt (1 + sqrt (2) / 2)

                 = - sqrt (1 + sqrt 2) / sqrt 2     rationalize the denominator

                    = - sqrt ( sqrt 2 + 2) / 2

re arrange to

          - sqrt ( 2 + sqrt2)  / 2        the fourth answer  

Answer:

C

Step-by-step explanation:

is not a polynomial because it has a negative exponent.

Answer:

False

False

True

True

True

Step-by-step explanation:

There cannot be an orange bead in the bag. FALSE

they never said how many colors are in the bag so there is always a possibility.

There must be exactly 1 yellow bean in the bag. FALSE

Just because Ryan only selected 1 yellow bean doesn't mean there is only 1 in the bag.

After 15 trials, Ryan has selected exactly 6 white beads. TRUE

2/5 = 6/15. Ryan has selected 6 white beads

After 16 trials, the experimental probability of selecting a blue bead is 1/4. TRUE

Ryan has selected 4/16 blue beads at the 16th trial.

After 17 trials, the experimental probability of selecting a red bead is 5/17. TRUE

at trial 17, the red bean ratio is 5/17.

1/3 = 5/15 and then 2 more trials make it 5/17.

Based on the information in the triangle, the measure of ZDEB is 54°.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

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Answer:

Amount borrowed from friend = 4000

From Bank = 8000

From insurance = 3200

Step-by-step explanation:

Given that:

Amount borrowed = $15200

Let amount borrowed from friend = x

x at 5% = 0.05x

From Bank = 2x at 8% = 0.08*2x = 0.16x

From insurance = 15200 - (x + 2x) at 4%

From insurance = 15200 - 3x at 4% ; (15200 - 3x)* 0.04 = 608 - 0.12x

Interest paid in first year = $968

Simple interest = principal * rate * time

968 =

968 = (0.05x + 0.16x + 608 - 0.12x)

968 - 608 = 0.05x + 0.16x - 0.12x

360 = 0.09x

x = 360 / 0.09

x = 4000

Hence,

Amount borrowed from friend = 4000

From Bank = 2x = 4000 * 2 = 8000

From insurance = 15200 - (4000 + 8000) = 3200

Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

Answer:

The percentage of respondents who said that they only play hockey is 40.75.

Approximately 75.92% of the respondents said that they only played hockey.

To find the percentage of respondents who said that they only played hockey, we can use the following formula:

percentage = (part / whole) x 100

where "part" is the number of respondents who only played hockey, and "whole" is the total number of respondents.

In this case, we have:

part = 1750

whole = 2302

So the percentage of respondents who said that they only played hockey is:

percentage = (1750 / 2302) x 100 = 75.92%

Therefore, approximately 75.92% of the respondents said that they only played hockey.

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