Identify the slope for (2,-1) and (10,-3).
Answers
You can find the slope using the following formula:
\(\text{Slope}=m=\frac{y_2-y_1_{}}{x_2-x_1}\)Where:
\(\begin{gathered} (2,-1)=(x_1,y_1) \\ (10,-3)=(x_2,y_2) \end{gathered}\)Therefore:
\(m=\frac{-3-(-1)}{10-2}=\frac{-2}{8}=-\frac{1}{4}=-0.25\)Related Questions
What inequality is shown by the graph?
Answers
Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.
No. of players = 29
No. of coaches = 4
Total fabric used for headbands = 773.85 inches
Total no. of people for headbands = 29 + 4
= 33
Fabric used for headband for 1 person = 773.85/33
= 23.45 inches
Total fabric used for wristbands = 279.56 inches
Total no. of people for wristbands = 29
Fabric used for headband for 1 person = 279.56/29
= 9.64 inches
Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.
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- The Alam family has saved $260 to spend on
entertainment activities for one week. They
money each day. Which is the best estimate
want to spend about the same amount of
0
how much they can spend each day?
A
$200
Answers
Answer:
$37
Step-by-step explanation:
They have $260 and 7 days in a week which is spent and even amount everyday. Meaning we would divide 260 by 7. Therefore, your answer would be 37.14 meaning they could only spend the most of $37 a day.
solve equation of
5/2x=25/4
Answers
Answer:
x = 5/2
Step-by-step explanation:
Solve for x:
(5 x)/2 = 25/4
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (5 x)/2 = 25/4 by 2/5:
(2×5 x)/(5×2) = 2/5×25/4
Hint: | Express 2/5×5/2 as a single fraction.
2/5×5/2 = (2×5)/(5×2):
(2×5)/(5×2) x = 2/5×25/4
Hint: | Express 2/5×25/4 as a single fraction.
2/5×25/4 = (2×25)/(5×4):
(2×5 x)/(5×2) = (2×25)/(5×4)
Hint: | Cancel common terms in the numerator and denominator of (2×5 x)/(5×2).
(2×5 x)/(5×2) = (5×2)/(5×2)×x = x:
x = (2×25)/(5×4)
Hint: | In (2×25)/(5×4), divide 25 in the numerator by 5 in the denominator.
25/5 = (5×5)/5 = 5:
x = (2×5)/4
Hint: | In (2×5)/4, divide 4 in the denominator by 2 in the numerator.
2/4 = 2/(2×2) = 1/2:
Answer: x = 5/2
Find the x-intercept and y-intercept of the graph of 2x+6y=6 . Then graph.x-intercept = (,0)y-intercept = (0,)12345-1-2-3-4-512345-1-2-3-4-5Clear All Draw: LineParabolaAbsolute valueCircleDotQuestion HelpQuestion 2: Video1
Answers
SOLUTION:
Step 1:
In this question, we are meant to find the x-intercept and y-intercept of the graph of :
\(\text{2x + 6y = 6}\)First, we are meant to graph it
Second, we are meant to find:
a) x-intercept
b) y - intercept
Step 2:
The graph of :
\(\text{2 x + 6y = 6}\)is as follows:
Step 3:
Given the equation:
\(\begin{gathered} 2x\text{ + 6y = 6} \\ For\text{ the x-intercept, we have that:} \\ \text{when y = 0, we have that:} \\ 2x\text{ + 6 (0 ) = 6} \\ 2\text{ x+ 0 = 6} \\ 2x\text{ = 6} \\ \text{Divide both sides by 2 , we have that:} \\ \text{x = }\frac{6}{2} \\ \text{x = 3} \\ \text{Then , the x - intercept = ( 3, 0 )} \end{gathered}\)Next, given the equation:
\(\begin{gathered} 2x\text{ + 6 y = 6} \\ For\text{ the y - intercept, we have that:} \\ \text{when x = 0 , we have that:} \\ 2\text{ ( 0 ) + 6 y = 6} \\ 0\text{ + 6y = 6} \\ 6y\text{ = 6} \\ \text{Divide both sides by 6, we have that:} \\ y\text{ = }\frac{6}{6} \\ y\text{ = 1} \\ \text{Then , the y -intercept = ( 0 , 1 )} \end{gathered}\)
Need help ASAP.
No 10 points to anyone who answers, and I will give the brainiest answer!
Answers
Answer:
I believe it's C
Answer:
B. 4/10 of 2/3
Step-by-step explanation:
The blue is 2/3 of the entire figure.
the striped is 4/10 of the blue.
Therefore it is 4/10 of 2/3.
The specifications for an electronic device state that it is to be operated in a room with relative humidity ℎ defined by |ℎ − 50| < 30. What are the minimum and maximum relative humidities for the operation of this device?
Answers
Answer: \(\Large\boxed{20 < h < 80}\)
Step-by-step explanation:
Given inequality
\(|h-50| < 30\)
The goal of the question
To find the minimum and maximum of the relative humidities
For this question, we need to solve the inequality
Simplify the absolute value sign
\(h-50 < 30\) or \(h-50 > -30\)
Add 50 on both sides
\(h-50+50 < 30+50\) or \(h-50+50 > -30+50\)
\(\Large\boxed{h < 80}\) or \(\Large\boxed{h > 20}\)
Hope this helps!! :)
Please let me know if you have any questions
1× 1 ÷58 +26=........
Answers
Answer:
= 117/58
Step-by-step explanation:
First of all 1*1 = 1 because a number multiplied by 1 is always itself. We then have to divide 1 by 58 is 0.017 and that +26 is equal to 26.017. Lastly, we have our answer 26.017 or if you wanted it as a fraction 26 1/58!
I need help with this. Thanks!
Answers
Answer:
C & D
Step-by-step explanation:
A. p = 29
B. p= 29
C. p = 0
D. p = 0
E. p = 29
________
Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.
If dx/dt=−2, find dy/dt when y=π/4.
a-) -√2 / 2
b-) 4
c-) -2√2
d-) √2
e-) 2√2
Please, someone help me!
Answers
Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:
a-) -√2 / 2.
What is implicit differentiation?Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.
In this problem, the function is:
xcos(y) = 2.
The derivative is relative to t, applying the product rule, as follows:
\(\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0\)
\(\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}\)
Since dx/dt=−2, we have that:
\(\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}\)
When y = π/4, x is given by:
xcos(y) = 2.
\(x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}\)
Hence:
\(\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}\)
\(\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}\)
Since cot(pi/4) = 1, we have that:
\(\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}\)
Which means that option a is correct.
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4,7,14,49, next number is what
Answers
Help plz:))) I’ll mark you BRAINLIEST
Third time asking ):
Answers
1000 ml of lemonade contains 250 ml of lemon juice.
How much lemon juice does 600 ml of lemonade contain?
how do i work this out
Answers
By finding the ratio of total volume to lemmon juice, we can see that In 600ml of juice we have 150ml of lemmon juice.
How much lemon juice does 600 ml of lemonade contain?We know that 1000 ml of lemonade contains 250 ml of lemon juice. Then the ratio to total volume to lemon juice is:
R = 250/1000 = 0.25
Then in 600ml of juice, we will have 0.25 times that of lemmon juice, it gives:
0.25*600ml = 150 ml
In 600ml of juice we have 150ml of lemmon juice.
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The parking garage at the airport has 72 empty parking spaces and 28 full parking spaces.
What percentage of the spaces in the garage are empty?
Answers
Answer:
72% of the parking spaces are empty.
Step-by-step explanation:
There are 72 open spaces out of 100 total. 72/100=.72, .72*100= 72%.
Answer:
72% because 72+28 is 100 and 72/100 is 72%
Step-by-step explanation:
Question 20
Mr. Stakur rolls a 20-sided die ten times. He rolls were 1,2,3,3,4,6,7,7,8, and 11,
Find the experimental probability Find the experimental probability of Norris rolling at least 10,
Was this higher or lower than what should have theoretically happened?
А
10 percent, Lower
B
20 percent, Higher
С
20 percent, Lower
D
10 percent, Higher
Answers
The correct option regarding the probability of rolling a number that is at least 10 is given by:
А 10 percent, Lower
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:
pT = 11/20 = 0.55 = 55%.
For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:
pE = 1/10 = 0.1 = 10%.
Which is lower than the theoretical probability, hence option A is correct.
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HELP PLS!!!!!!!!!!!!!
Answers
what is the pythagoras theorum in terms of shakespear?
Answers
Answer:*
Step-by-step explanation:
The automatic opening device of a military cargo parachute has been designed to open when the parachute is 185 m above the ground. Suppose opening altitude actually has a normal distribution with mean value 185 and standard deviation 32 m. Equipment damage will occur if the parachute opens at an altitude of less than 100 m. What is the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes
Answers
Answer:
0.0193 = 1.93% probability that there is equipment damage to the payload of at least one of five independently dropped parachutes.
Step-by-step explanation:
For each parachute, there are only two possible outcomes. Either there is damage, or there is not. The probability of there being damage on a parachute is independent of any other parachute, which means that the binomial probability distribution is used to solve this question.
To find the probability of damage on a parachute, the normal distribution is used.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
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.
Probability of a parachute having damage.
The opening altitude actually has a normal distribution with mean value 185 and standard deviation 32 m, which means that \(\mu = 185, \sigma = 32\)
Equipment damage will occur if the parachute opens at an altitude of less than 100 m, which means that the probability of damage is the p-value of Z when X = 100. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{100 - 185}{32}\)
\(Z = -2.66\)
\(Z = -2.66\) has a p-value of 0.0039.
What is the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes?
0.0039 probability of a parachute having damage, which means that \(p = 0.0039\)
5 parachutes, which means that \(n = 5\)
This probability is:
\(P(X \geq 1) = 1 - P(X = 0)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{5,0}.(0.0039)^{0}.(0.9961)^{5} = 0.9807\)
Then
\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9807 = 0.0193\)
0.0193 = 1.93% probability that there is equipment damage to the payload of at least one of five independently dropped parachutes.
A farmer has both sheep and chickens on his farm. All the animals have the expected number of parts. When his animals are all
together, there are 90 legs and 32 heads. How many of each animal does he have?
Answers
Answer:
13 sheep, 19 chicken
Step-by-step explanation:
You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as \(x\) and the number of chickens there are as \(y\).
Because each sheep has 4 legs, the number of legs for each sheep would be \(4x\). Similarly, because each chicken has 2 legs, the number of legs for each chicken would be \(2y\). Each animal would have 1 head, so the number of heads would just be \(x\) and \(y\). Because the number of legs in total are 90, \(4x + 2y=90\). Because the number of heads in total are 32, \(x+y=32.\)
There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation, \(2x+2y=64\). Then, I would subtract that from the first equation, eliminating \(y\). \(2x=26\). Solving for x gives 13. We can then plug that value into the second equation, making y be \(32-13=19\). This means that \(x=13\) and \(y=19\), meaning that there are 13 sheep and 19 chicken.
what is the minimum value of the function 3x^2 -4x +8
Answers
Step-by-step explanation:
f(x)=3x²-4x+8
f(1)=(3*1)²-4(1)+8
f(1)=3²-4+8
f(1)=9-4+8 or using BODMAS
f(1)=5+8 or f(1)=9-12
f(1)=13 or f(1)=-3
bubba buys a $95 calculator on sale for 30% off. what's the discount and sales price?
Answers
95 * 30/100= 28,5
95-28,5= 66,5
help me please if that's okay , thank you sm
Answers
Answer:
9. is true
10. is false
hope this helps
Step-by-step explanation:
Step-by-step explanation:
9 is true and 10 is true as well
100 Points! Algebra question. Photo attached. Only looking for an answer to B. Thank you!
Answers
(a) The amplitude of the function is 2.
(b) The amplitude of the function is 3.
What is amplitude?Amplitude is interval between the resting position and the maximum migration of the wave.
Formula for amplitude of the function is:
y = A sin (ωt + Ф) or y = A cos (ωt + Ф), where A represent the amplitude.
Given:
(a) y = 2 cos [3(Ф + 45)]
Formula for amplitude is:
y = A cos (ωt + Ф)
(b) y = 3 sin [2(Ф - 90)]
Formula for amplitude is
y = A sin (ωt + Ф)
After compare amplitude with equation than we get amplitudes are 2 and 3.
Therefore, the amplitude of the following function are 2 and 3 respectively.
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A radioactive element has a half-life of six days. What is the approximate decay rate of the element after the first day?
0.9%
1.5%
8.3%
10.9%
Answers
Answer: 8.3 or C
Eplanation: This is because a half life is 50 percent of a normal life so 50 percent divided by 6 is 8.3
\(8.3\)% is the approximate decay rate of the element after the first day.
What is Radioactive decay ?
Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common types of decay are alpha decay, beta decay, and gamma decay, all of which involve emitting one or more particles.
What is decay rate?
The rate of decay, or activity, of a sample of a radioactive substance is the decrease in the number of radioactive nuclei per unit time.
According to question, a radioactive element has a half-life of six days.
A half- life is \(50\)% of a normal life.
So, the approximate decay rate of the element after the first day
\(=\frac{50}{6}\)% \(=8.3\)%
Hence, we can conclude that \(8.3\)% is the approximate decay rate of the element after the first day.
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please help will give brainliest This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 25.
What is the surface area of the image after the dilation?
206 2/25 m²
268 4/5 m²
515 1/2 m²
582 2/5 m²
Answers
The pre-image that has undergone dilation with a scale of 2 / 5 has a surface area of the image after the dilation as \(206\frac{2}{25}\) m²
How to find the surface area after dilation?The surface area of the image after dilation is calculated as follows;
a₂ = a₁ k²
where
a₁ = surface area of the pre-image
a₂ = surface area of the image
k = represents the scale factor = \(\frac{2}{5}\)
Therefore,
a₁ = (7 × 20) + 2(1 /2 × 24 × 7) + (20 × 25) + (20 × 24)
a₁ = 140 + 168 + 500 + 480
a₁ = 1288 m²
Therefore,
a₂ = 1288 × (2 / 5)²
a₂ = 1288 × 4 / 25
a₂ = 5152 / 25
a₂ = \(206\frac{2}{25}\) m²
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Find the area of the green region in the circle to the nearest tenth
Answers
The area of the green region of the circle is 96.4 ft².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the green region of the circle, we use the formula below
Formula:
A = πr²∅/360Where:
A = Area of the green regionr = Radius of the circle∅ = Angle of the sector at the center of the circleFrom the diagram,
Given:
r = 17/2 = 8.5 feet∅ = (180-27°) = 153°π = 3.14Substitute these values into equation 1
A = 3.14×8.5²×153/360A = 96.4 ft²Learn more about area here: https://brainly.com/question/28470545
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The area of the green region in the circle given is expressed as approximately: a. 96.5 square feet.
How to Find the Area of a Sector in a Circle?The sector of a circle is calculated as:
A = ∅/360 * πr², where r is the radius and ∅ is the reference or central angle of the sector.
Given the following:
Central or reference angle (∅) = 180 - 27 = 153 degrees
Radius (r) = 17/2 = 8.5 feet
Plug in the values:
Area of the green region = 153/360 * π * 8.5²
Area of the green region ≈ 96.5 square feet.
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i need help can someone help me
Answers
The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the sine of angle 41°
sin 41° = 2.5/x {opposite/hypotenuse}
x = 2.5/sin 41° {cross multiplication}
x = 3.8106
Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
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3(3x-2)=39
Solve equation
Answers
Help me solve these two problems! Show the work
Answers
Answer:
see explanation
Step-by-step explanation:
2
4x² + 64 ← factor out the common factor of 4 from each term
= 4(x² + 16)
3
(a - 10)² = 121 ( take square root of both sides )
a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )
a = 10 ± 11
then
a = 10 - 11 = - 1
a = 10 + 11 = 21
I need help this assignments due at 9 eastern time plzzzz
