Answer:
Slope = -4
Step-by-step explanation:
Given:
Point 1: (6,-10)Point 2: (8,-18)Rate of change (Slope) formula:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1} }[/tex]
Where:
y₂ = y-coordinate of second point = -18y₁ = y-coordinate of first point = -10x₂ = x-coordinate of second point = 8x₁ = x-coordinate of first point = 6Substitute the coordinates of the given points in the formula to determine the slope of the line (Rate of change).
[tex]\implies \text{Slope} = \dfrac{(-18) - (-10)}{8 - 6 }[/tex]
Finally, let's simplify the fraction on the right hand side as needed.
[tex]\implies\text{Slope} = \dfrac{(-18) + 10}{8 - 6 }[/tex]
[tex]\implies \text{Slope} = \dfrac{-8}{2 } = -4[/tex]
Therefore, the slope of a line that passes through (6 , -10 ) and (8, -18) is -4.
A sound wave travels through iron at a rate of 3120 / s . At what rate does the sound wave travel in / h?
Answer:
11,232km/h
Step-by-step explanation:
You have 3120m/s and want kilometers per hour. There are 1000m in 1km, and 3600sec in 1h:
[tex] \frac{3120}{1} \frac{m}{s} \times \frac{1}{1000} \frac{km}{m} \times \frac{3600}{1} \frac{s}{h} [/tex]
Meters cancel. Seconds cancel. This leaves kilometers per hour:
[tex] \frac{3120 \times 3600}{1000} \frac{km}{h} = 11232 \frac{km}{h} [/tex]
If 5x+3/2=6-2/3x, what is the value of X
Answer:
x=12/17
Step-by-step explanation:
hope this helps
One hundred thirty people were asked to determine how many cups of fruit and water they consumed per day. the results are shown in the frequency table. a 4-column table with 3 rows. the first column has no label with entries less than or equal to 4 cups of water, greater than 4 cups of water, total. the second column is labeled less than or equal to 2 cups of fruit with entries 62, 18, 80. the third column is labeled greater than 2 cups of fruit with entries 20, 30 , 50. the fourth column is labeled total with entries 82, 48, 130. identify the conditional relative frequency by row. round to the nearest percent. the conditional relative frequency that someone ate more than 2 cups of fruit, given the person drank less than or equal to 4 cups of water is approximately . the conditional relative frequency that someone ate less than or equal to 2 cups of fruit, given the person drank more than 4 cups of water is approximately .
Answer:
24% and 38%
Step-by-step explanation:
Answer:
24% and 38%
Step-by-step explanation:
A and B are complementary. If mB=26 degrees what is the measure of A?
Answer:
26
Step-by-step explanation:
complementary means same. so A and B are 26.
) Which point on the number line shows the position of squared 77
point A
point B
point C
point D
x5 -6x³ -8x * 3a²x²
Multiplicar /Multiply
Answer:
Step-by-step explanation:
3a^2x^2 (x^5 -6x^3 - 8x)
= 3a^2x^2 * x^5 - 3a^2x^2 * 6x^3 - 3a^2x^2 * 8x
= 3a^2x^7 - 18a^2x^5 - 24a^2x^3.
A line has a slope of -3 and includes the point (-5,4) and (-7,q). What is the value of q
Answer:
q = 10
Step-by-step explanation:
[tex]\text{slope} =-3=\frac{q-4}{-7-(-5)} =\frac{q-4}{-2} \\\Longrightarrow -3=\frac{q-4}{-2} \\\Longrightarrow \left( -3\right) \times \left( -2\right) =q-4\\\Longrightarrow 6=q-4\\\Longrightarrow q=6+4\\\Longrightarrow q=10[/tex]
solve for x or find the value of x
Answer:
10
Step-by-step explanation:
see in the attached picture...
Question 5 of 5
Roshaun kept track of the number of hours that he spent
playing his saxophone each week for several weeks. He
spent 8, 2, 5, 10, and 5 hours.
What is the range of the data set?
O A. 10 hours
OB. 8 hours
O c. 5 hours
D. 6 hours
What is the value of log subscript 625 baseline 5? –4 negative one-fourth one-fourth 4
The value of log subscript 625 baseline 5 is 1/4.
What is a log function?The logarithmic function is an inverse function to exponentiation.
Rewrite as an equation.
[tex]\rm log_{625}{(5)} = x[/tex]
Rewrite log625 (5) = x in exponential form using the definition of a logarithm.
If x and b are positive real numbers and b does not equal 1, then log(x) = y is equivalent to b^y = x.
[tex]\rm 625^x=5[/tex]
Create expressions in the equation that all have equal bases.
[tex]\rm (5^4)^x=5^1\\\\5^{4x}=5^1\\\\4x=1\\\\x=\dfrac{1}{4}[/tex]
Hence, the value of log subscript 625 baseline 5 is 1/4.
To know more about the log function click the link given below.
https://brainly.com/question/15093298
Answer:
1/4
Step-by-step explanation:
What is the equation for this question. Not the answer, the equation.
Answer:
[tex]c=325m[/tex]
Step-by-step explanation:
Hope this helps
Please fill some for me for 100 points and Brainliest!
ASAP!
Answer:
PART ONE:
1.Most common sleep is: 8 1/2 hours of sleep.
2.There is a a outlinear in the data (6 1/2)
3. 10-6.5 = 3.5, So 3 1/2 hours diffence of sleep
4. 15 more people slept longer than 8 hours
The figure below is an example of a ____ ____ which is basically a solid that has been sliced by a plane
HELP PLEASE WORTH 23 points
Answer:
D. Cross section
Step-by-Step Explanation:
It is sliced showing the bottom part, so it is showing a cross section.
Sora correctly solved this inequality. Negative 2.1 w greater-than 12.81. w less-than negative 6.1. Which graph matches the inequality? A number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the right of the circle is shaded. A number line going from negative 6.5 to negative 5.8. A closed circle is at negative 6.1. Everything to the left of the circle is shaded. A number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the left of the circle is shaded. A number line going from negative 6.5 to negative 5.8. A closed circle is at negative 6.1. Everything to the right of the circle is shaded.
Answer:
Its the third one I think.
Step-by-step explanation:
I worked on it.
Answer:
c
Step-by-step explanation:
Question 4 of 10
True or false? The graph represents a function
A. True
B. False
SUBMIT
Answer:
A. TrueStep-by-step explanation:
This curved line is called a function.
What Function is it?
This function is called a nonlinear function.Nonlinear functions are curved lines, going through some of the axis.
Linear functions are straight lines, and it will forever go left and right.
PLS I NEED ANSWERS I posted this questions before but the answer that was given to me was very questionable so PLS I NEED THE ANSWERS NOW ASAP.
Answer:
Step-by-step explanation:
TOP:
2 rectangles 10x4
2 rectangles 10x3
2 rectangles 3x4
MIDDLE
1 rectangle 10x 9.4247
2 circles 9 π
BOTTOM
1 rectangle 6x15.7079
2 circles 25π
NEED EVIDENCE NOT JUST ANSWER There are 540 grams of sugar in 5 liters of soda. how many grams of sugar are in 3 liters of soda?
Work Shown:
(540 grams sugar)/(5 liter soda) = (x grams sugar)/(3 liter soda)
540/5 = x/3
540*3 = 5*x
1620 = 5x
5x = 1620
x = 1620/5
x = 324
3 liters of soda has 324 grams of sugar
5 less than a number n is - 1
Answer: n is 4
Step-by-step explanation: n-5= -1
Add 5 to both sides
n=-1+5
n=4
Step-by-step explanation:
5 Less than a number n 1. if you want 5 less than what you start with, you must take away 5
pls help for this question!!!
Answer:
I think it would be 4+10=14 and the bigger number is 10
Step-by-step explanation:
forgive me if I'm wrong
Jala has an aquarium in the shape of a rectangular prism with the dimensions shown. What is the height of the aquarium? Round your answer to the nearest tenths place.
height = 24.4in
hope it helps...!!!
Answer:
24.4in.
Step-by-step explanation:
31.25 x 15.5 = 484.375
11818.75 / 484.375 = 24.4in.
Pls help me I need the answer with how u did it pls
Answer:
125 degrees
Step-by-step explanation:
5x=3x+50
5x-3x+50
2x=50
x=25
5x=25x5
=125
In a 30 - 60 - 90° triangle x= 7.5 feet
What is the length of the hypotenuse?
We are on my trigonometry unit and I don’t understand this question. I need work shown if at all possible!
Answer:
Step-by-step explanation:
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
~~~~~~~~~~~~~~~~~
[tex]\frac{x}{sin41}[/tex] = [tex]\frac{4.5}{sin107}[/tex]
x = [tex]\frac{4.5sin41}{sin107}[/tex] ≈ 3.1 mi
[tex]\frac{y}{sin32}[/tex] = [tex]\frac{4.5}{sin107}[/tex]
y = [tex]\frac{4.5sin32}{sin107}[/tex] ≈ 2.5 mi
Ship A is 3.1 miles from the island.
Ship B is 2.5 miles from the island.
A map uses the scale 3 cm for every 50 km
If Dora measures a distance of 9 cm on
the map, what is the actual distance?
Let the distance be x
3/50=9/x3x=9(50)3x=450x=450/3x=150kmWhat is the product of (2p 7)(3p2 4p – 3)? 6p3 29p2 – 34p 21 6p3 29p2 – 22p 21 6p3 29p2 22p – 21 6p3 29p2 34p – 21
The product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
What is the product of two equations?To multiply the two equation, each term of the first equation is multiples from the second term.
The first equation provided in the form of binomial as,[tex]2p+ 7[/tex]
The second equation provided in the form of quadratic equation as,[tex]3p^2 +4p-3[/tex]
The product of these two equations are,
[tex]P=(2p+7)\times (3p^2 +4p-3)\\P=6p^3+8p^2-6p+21p^2+28p-21[/tex]
Arrange the equation with the same power terms,
[tex]P=6p^3+8p^2+21p^2-6p+28p-21\\P=6p^3+29p^2+22p-21[/tex]
Hence, the product of the two provided equations, obtained by multiplying each term of the first equation from the second one, is 6p³+29p²+22p-21.
Learn more about the multiplication of two equation here;
https://brainly.com/question/69383
sue spent 95% of her salary for the month. If she has $1500 remaining. What is Sue's total salary for the month?
Answer:
$30,000
Step-by-step explanation:
1500 would be the remaining 5%. Simply double that, which gives you 3000, which is 10%. Adding the other 90% would make the answer be $30,000
Answer:
2925 dollars.
Step-by-step explanation:
1500 x 0.95 = 1425
1500 + 1425 = 2925
I need awnser asappppppppppppppppppppppppppppp
A company has made a rubber ball for $0. 02 per square foot. The company wants to spend a maximum of $1 each on a new ball.
What is the diameter of the new ball to the nearest tenth of a foot?
A.
4. 6 feet
B.
2. 9 feet
C.
5. 8 feet
D.
2. 3 feet
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
How to find the diameter of the ball?Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
https://brainly.com/question/10171109
Por cinco boletos para un concierto de rock y tres boletos para un partido de fútbol se pagaron $720 y por dos boletos para el mismo concierto y seis para el mismo partido de fútbol se pagaron $480 ¿Cuál es el valor del boleto para cada uno de los eventos?
The value of tickets for rock concert is $120 and the value of tickets for soccer match is $40.
How to calculate the value?From the information, for five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480.
Let the value of tickets for rock concert = x
Let the value of tickets for soccer match = y
Based on the information given, the equation will be:
5x + 3y = 720 .... i
2x + 6y = 480 ..... ii
Multiply equation i by 2
Multiply equation ii by 5
10x + 6y = 1440
10x + 30y = 2400
Subtract
24y = 960
y = 960 / 24
y = 40
Therefore, x will be:
5x + 3y = 720
5x + 3(40) = 720
5x + 120 = 720
5x = 720 - 120
5x = 600
Divide
x = 600 / 5
x = 120
Learn more about equations on;
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Complete question
For five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480. What is the value of the ticket for each of the events?
All you need to know from problem 6 is that the obelisk is 27m tall. Could someone please help?
Answer:
250
Step-by-step explanation: