Answer:
y=6x-6
Step-by-step explanation:
find the slope
y2-y1/ x2-x1
then put one of the points in y-y1=m(x-x1)
sea level changes -73.5ft in 3minutes. what is the average change in the sea level each minute?
Answer
Average change in sea level per minute = -24.5 ft/minute
Explanation
The average change in sea level each minute is given as
[tex]\text{Average change in sea level per minute = }\frac{Sea\text{ level changes}}{Time\text{ Taken}}[/tex]For this question,
Sea level changes = -73.5 ft.
Time Taken = 3 minutes.
Average change in sea level per minute = (-73.5/3) = -24.5 ft/minute
Hope this Helps!!!
Solve...........................................
The sum of 25 and 35 using their greatest common factor is 60.
What are factors?It should be noted that factors simply means the numbers that.van be multiplied with another number which is also a factor to get the original number.
In this case, it should be noted that the sum of 25 + 25 based on their factor will be:
= 5(5) + 5(7)
= 5(12)
= 60
The sum is 60.
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the temperature was 88°F at 2pm the temperature decreases 4° per hour what time will the temperature be 72°f
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The correct statement are;
1. The radius of the circle is 3 units.
2. The center of the circle lies on the x-axis.
3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The equation of circle will be;
⇒ x² + y² - 2x - 8 = 0
The standard form of the equation of circle is;
⇒ x² + y² + 2gx + 2fy + c = 0
Where,
The center of circle = (-g , -f)
The radius of circle = √g² + f² - c
Since, The equation of circle will be;
⇒ x² + y² - 2x - 8 = 0
Compare with the standard form of circle, we get;
⇒ 2gx = - 2x
⇒ g = - 1
And, 2fy = 0
⇒ f = 0
Hence, The center = ( -g , -f) = (- (-1) , 0)
= (1, 0)
Clearly, This shows the center of circle is lies on x - axis.
Radius of circle = √g² + f² - c
Substitute all the values we get;
Radius of circle = √g² + f² - c = √(-1)² + 0 - (-8)
= √9
= 3
Thus, The radius of the circle is 3 units.
Now, For the equation of circle x² + y² = 9,
Radius = √9 = 3 units.
So, The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Therefore, The correct statement are;
1. The radius of the circle is 3 units.
2. The center of the circle lies on the x-axis.
3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
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help i don’t understand this question
The distance to your cousin's house is 666 miles, and the distance to Chicago is 37 miles. If it took 18 hours to drive to your cousin's house. howlong would you estimate the drive to Chicago to take?
We know that it took 18 hours to drive 666 miles. If we divide the distance by the hours (666 miles)/(18 hours)
We find that 666/18= 37 miles per hour . which means we travel 37 miles each hour.
So, we can estimate that driving 37 miles it will take 1 hour (the distance to Chicago).
Answer:
666/18=37miles/hour
it would take 1 hour to drive 37 miles
What is the constant of proportionality in the equation y = - 4.26x?
Answer:
im mexican im not good at math
What values of x and y satisfy the system
y = −2x + 3
y = 5x - 4
The most appropriate choice for simultaneous linear equation will be given by -
x = 1, y = 1
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here,
y = −2x + 3
y = 5x - 4
So, -2x + 3 = 5x - 4
5x + 2x = 3 + 4
7x = 7
[tex]x = \frac{7}{7}\\x = 1[/tex]
Putting the value of x in the first equation'
y = [tex]- 2\times 1 +3[/tex]
y = 1
So, x = 1, y = 1
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Corey’s cat weighed 4 pounds. A year later, it weighed 175% of its previous weight
Answer:
7 lbs
Step-by-step explanation:
75 percent of 4 lbs is 3 lbs
4+3=7
Answer:7 pounds
Step-by-step explanation:khan
model monster truck has a height of 3-inches tall. The model of the monster truck to
the actual monster truck is 1 inch: 38.4 inches. How many feet tall is the actual Monster
Truck?
Answer:38.4 times 3 divided by 2
Step-by-step explanation:
Help me please please
Answer:
second one . the ratio is 3/4 boys to girls and we have 175 girls . then you must put 175 in same level of 4. the same like answer 2 as it mention 3/4 = b/175.
Scott purchases food for his dog in large bags and feeds the dog the same amount of dog food each
day. The amount of dog food left in the bag at the end of each day can be modeled by an arithmetic
sequence. On a particular day, Scott opened a new bag of dog food and fed his dog. By the end of the third day there were 115.5 cups of dog food remaining in the bag and at the end of the eighth day
there were 108 cups of dog food remaining in the bag.
a) Find the number of cups of dog food
i) fed to the dog per day. Show your work.
The number of cups of dog food fed to the dog per day is 1.5 cups.
What is the number of cups of dog food fed to the dog per day?Since the same quantity of dog food is fed to the dog per day, the decrease in the cups of dog food can be modelled with a linear equation. A linear equation is an equation that has one variable that is raised to the power of one.
Number of cups of dog food fed to the dog per day = (cups left after the 8th day - cups left after the 3rd day) / change in the number of days
(108 - 115.5) / (8 - 5)
4.5 / 3 = 1.5 cups
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(1) Solve x² + x + 2 = 0 by formula method.
The roots of the quadratic equation x² + x + 2 = 0 is [tex]-1+\sqrt{-7} /2[/tex] and[tex]-1-\sqrt{-7} /2[/tex]
What are roots?Roots: In mathematics, a solution to an equation, usually expressed as a number or an algebraic formula. The square root of a number is a value that can be multiplied by itself to give the original number. The square root of 9 is 3, because when 3 is multiplied by itself, you get 9.
given quadratic equation is, x² + x + 2 = 0
to find the roots we have formula method ,
x=[tex]-b+\sqrt{b^2-4ac}[/tex][tex]/2a[/tex]
x=[tex]-b-\sqrt{b^2-4ac}[/tex][tex]/2a[/tex]
a=1, b=1 and c=2
sub the values in the above equation
x=[tex]-1+[/tex][tex]\sqrt{1-4(1)(2)}[/tex][tex]/2[/tex]
x=[tex]-1-\sqrt{1-4(1)(2)} /2[/tex]
x= [tex]-1+\sqrt{-7}/2[/tex] and x=[tex]-1-\sqrt{-7} /2[/tex] are the roots of the quadratic equation
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Please help identify the equation
And the answer
Two more than 4 times a number is -18
Answer:
x = -5
Step-by-step explanation:
4x + 2 = -18
or
2 + 4x = -18
(Subtract 2 from both sides) -20 = 4x
(Then you divide by 4) so you get... x = -5
Answer:
2 + 4x = -18
Step-by-step explanation:
Two more than: +2
4 times a number: 4x
is -18: = -18
Convert this equation to slope intercept form y-4= 2(x+7)
Answer:
y=2x+18
Step-by-step explanation:
y=mx+c --> let's solve now:
y-4=2x+14
y=2x+18
the "m" aka slope is 2.
the "y int." is 18
the sum of the perimeters of two equilateral triangles is $45$ inches, and the area of the larger one is $16$ times the area of the smaller one. what is the area, in square inches, of the larger triangle? express your answer in the simplest radical form.
The area, in square inches, of the larger triangle is 12.
What is a triangle?A triangle is a type of polygon having three sides and three vertices. In Euclidean geometry, if no three points are collinear, then we determine a unique triangle and a unique plane (that is, two-dimensional Euclidean space). That is, there is only one plane containing this triangle, and all triangles are contained in one plane. If all geometries were just Euclidean planes, there would be only one plane and all triangles would be in it.But this is not the case in high dimensional Euclidean space. This article is about triangles in Euclidean geometry, specifically the Euclidean plane, unless otherwise stated.To learn more about triangle from the given link :
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What is the slope 7y-2x=-16
what is the slope?
what is the y-intercept?
Answer:
slope = 2/7
y-intercept = -16/7
Step-by-step explanation:
We rewrite this equation in slope-intercept form as follows:
[tex] - 2x + 7y = - 16[/tex]
[tex]7y = 2x - 16[/tex]
[tex]y = \frac{2}{7} x - \frac{16}{7} [/tex]
The slope is 2/7, and the y-intercept is -16/7.
Angle DEB is 71°. State the size of angle ABD, giving a reason for your answer.
Check the picture below.
as an avid fisherman, nick was curious if the advertised strength of fishing line is accurate. to investigate, he used "6 pound" fishing line to hang a bucket, which he then filled with weights until the line broke. then nick measured the total weight of the bucket and its contents to determine the breaking strength of that piece of fishing line. after trying this with many different sections of the fishing line, he estimated that the distribution of breaking strength for this type of line is approximately normal with a mean of 6.44 pounds and a standard deviation of 0.75 pound.
Using the normal distribution, it is found that this type of fishing line have a breaking strength less than the advertised 6 pounds 27.76% of the time.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by the following rule:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above or below the mean, depending if the z-score is positive or negative.From the z-score table, the p-value associated with the z-score is found, and it represents the percentile of the measure X.The mean and the standard deviation for the breaking strengths are given as follows:
[tex]\mu = 6.44, \sigma = 0.75[/tex]
The proportion of times with breaking strength less than 6 inches is given by the p-value of Z when X = 6, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (6 - 6.44)/0.75
Z = -0.59
Z = -0.59 has a p-value of 0.2776.
Hence the percentage is of 27.76%.
What is the missing information?The question is:
How often will this type of fishing line have a breaking strength less than the advertised 6 pounds.
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i need to multiply 11x0.08 how would i do it?
Answer:
just use calculator ,88 is answer and hi
Step-by-step explanation:
okay so basically you do it likr jormally but you drag the decimal down
1 1
×0.08
____
0.88
Graph and label the image of the figure below after a dilation by a factor of 1/2.
M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)
see graph below
Explanation:Given:
The image of a quadrilateral on a coordinate plane
To find:
The coordinates of the new image after dilation of 1/2 have been applied to the original image.
Then graph the coordinates
First, we need to state the coordinates of the original image:
M = (3, -2)
F = (4, -2)
L = (1, -5)
W = (5, -5)
Next, we will apply a scale factor of 1/2:
[tex]\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}[/tex][tex]\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}[/tex]The new coordinates:
M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)
M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)
Plotting the coordinates:
Vince took out a $500 loan to buy a new
couch. He paid back the loan in 2 years and
paid a total of $570. What was the simple
interest rate for his loan?
Answer:
Step-by-step explanation:
The requried, simple interest rate for Vince's loan was 7%.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Amount = Principal [1 + rate×time]
We can use the simple interest formula to solve this problem, where:
Simple interest = Principal x Rate x Time
In this case, the principal is $500, and the time is 2 years. We can rearrange the formula to solve for the rate:
Rate = Simple interest / (Principal x Time)
The total amount paid back, including the principal and the interest, is $570. So, the simple interest can be calculated as:
Simple interest = Total amount paid - Principal
Simple interest = $570 - $500
Simple interest = $70
Substituting these values into the formula, we get:
Rate = $70 / ($500 x 2)
Rate = $70 / $1000
Rate = 0.07 or 7%
Therefore, the simple interest rate for Vince's loan was 7%.
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x to the power of 7 divided by x to the power of 4
Using the product rule of power, the expression, x^7 / x^4 = x³.
How to Divide Numbers with Powers but the same Base?If the bases are the same for two numbers having powers, the product rule of power or exponent states that we are to subtract their powers.
For example, if we are given m³ divide by m², that is m³ / m², therefore we would have:
m³ / m² = m^(3 - 2)
m³ / m² = m [the power will now be 1]
In the same vein, we can simplify "x to the power of 7 divided by x to the power of 4" as shown below:
x^7 / x^4 = x^(7 - 4) [based on the product rule of powers or exponents]
x^7 / x^4 = x³
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Which of the following is a geometric sequence?
O 0, 2, 6, 12, 72,
1 2 3 4 5
2'3'4'5'6'
O4, 9, 14, 19, 24,
O
O 1, 3, 9, 27, 81,
The geometric sequence is option(D) i.e, 1, 3, 9, 27, 81,..
What is Geometric sequence ?
A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
In this, the last option have the geometric sequence. since, there is a common ration between each term. If you multiplying the previous term in the sequence by 3 gives the next term.
Hence, The geometric sequence is 1, 3, 9, 27, 81,
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paula invited some friends to dinner, and she plans to make fajitas. at the grocery store, she spends $2.56 on red bell peppers and $1.92 on green bell peppers. if both types of bell peppers cost $1.60 per pound, how many total pounds of bell peppers does she buy?write your answer as a whole number or decimal. pounds
Answer:
2.8 pounds
Step-by-step explanation:
she spends on both types of bell peppers =
$2.56+$1.92=$4.48
$1.60 = 1 pound
$4.48 = ?
= 4.48/1.60
= 2.8 pounds
Plssss help plsssss it’s finding proofs
2) Supplementary Angles
3) Same-side Interior Angles Postulate
4) Substitution Property
5) Subtraction Property of Equality
Given: l || m
Prove:
∠4 = ∠6
2) m∠3 + m∠4 = 180
This is because angles 3 and 4 are supplementary as they lie on a straight line. If the total of two angles is 180 degrees, they are considered to be supplementary angles since they form a linear angle when combined.
3) m∠3 + m∠6 = 180
By the Same-side Interior Angles Postulate when a transversal connects two parallel lines, the interior angles on the same side are supplementary. Hence angles 3 and 6 are supplementary.
4) m∠3 + m∠4 = m∠3 + m∠6
Using Substitution Property we can replace angle 4 with angle 6, the value or sum will still remain the same i.e. 180.
5) m∠4 = m∠6
By the Subtraction Property of Equality, we can subtract the angle 3 from both sides of the equation in part(4) and the resultant equation will be m∠4 = m∠6.
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a triangle with sides of 5, 12,5,12, and 1313 has both an inscribed and a circumscribed circle. what is the distance between the centers of those circles?
The distance between the two centers is √[65] / 2
Incenter and circumcenter of the triangle:
Incenter:
The intersection point of all three interior angle bisectors of the triangle is known as the Incenter of the triangle. It is the center of the large circle that can fit in the triangle.
Circumcenter:
The point of intersection of perpendicular bisectors of three sides of a triangle. It will be equidistant from the three vertices of a triangle.
Here we have,
The sides of a triangle are 5, 12, 13
Let the given triangle is triangle ABC
then AB = 5, BC = 13 and AC = 12
[ For more understanding observe the given picture]
As we know (5, 12, 13) is a triplet
then the Given triangle is a right-angled triangle
Let us assume that the triangle is in a graph as the right angle at the origin then the vertices of the triangle are
A = (0, 0); B = (0, 5) and C = (12, 0)
Now find the incenter and circumcenters of the triangle using the above information
The incenter of the triangle
=> (x, y) = [tex][ \frac{0(BC) + 0(AC)+ 12(AB) }{AB+AC+AB}, \frac{0(BC) + 5(AC) + 0(AB) }{AB+AC+AB} ][/tex]
=> (x, y) = [tex][ \frac{0(13) + 0(12)+ 12(5) }{5+12+13}, \frac{0(13) + 5(12) + 0(5) }{5+12+13} ][/tex]
=> (x, y) = [tex][ \frac{60 }{30}, \frac{60 }{30} ][/tex] = (2, 2)
The circumcenter of the triangle
As we know in a right-angled triangle,
Circumcenter = Midpoint of Hypotenuse
= Midpoint of B(0, 5) and C (12, 0)
= [ (12 + 0) / 2 , (5 + 0) /2 ]
= (6, 5/2)
From the above calculations,
The incenter of the triangle is (2, 2)
The circumcenter of triangle is (6, 5/2)
Distance between two centers = √ [ ( 6 - 2)² + ( 5/2 - 2)² ]
= √[ (4)² + (1/2)² ]
= √ [16 + 1/4]
= √ [65] / 2
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The Hendrix family was draining their pool at the end of summer. They found that the water level goes down by 0.4 feet every hour. If the water level in the pool has changed by -1.4 feet, how long have they been draining the pool?
Answer:
The Hendrix family pool has been going down for 3 and a half hours
This is due tomorrow!! A creek is 3 feet deep. During a flood last month, it rose to 20 feet deep. The weather man said it rained 0.5 feet an hour. How many hours did it rain?
The number of hours of rain is 34.
The depth of the creek before the rain was 3 feet. There was a flood last month. The depth of the creek rose to 20 feet after the flood. The weather man said that it rained for 0.5 feet every hour.
The rise in the depth of the creek is the difference between the final and initial depths.
D = 20 - 3 = 17 feet
The number of hours for which it rained is the result of the division of the rise in the depth by the rate of rain.
N = 17/0.5
N = 34 hours
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in a study by giacobbi et al. (2014), it was determined that about 60% of the participants found imagery very helpful in enhancing their physical activity, but 40% said they would no longer use imagery in their exercise. the implication from these results is that
Before offering imaging programs, practitioners need to be aware of the reasons why exercise participants are doing it.
Define imagery in sports.When we use imagery, we simulate an actual situation in our minds rather than actually going through it. It differs significantly from daydreaming or simply thinking about anything because it is a cognitive activity that is consciously used by an athlete or exerciser to accomplish a certain task.
In this study, an analysis of secondary data from a recently published randomized controlled trial. In a community-based, group-mediated physical activity intervention for sedentary people 50 and older, the Active Adult Mentoring Program (AAMP) tested the effectiveness of peer volunteers as delivery agents. The AAMP was built on the social-cognitive and self-determination theories, and mentors were trained to lead discussions in groups that would help reinforce key ideas from both theories.
The adaptability of images makes it useful at different times and in varied settings. Athletes employ imagery most frequently right before a competition or during practice, but they do so during the entire season, including the off-season. Similar to how it's reported by athletes, visualization is frequently used before an activity session. For example, it would be more effective for a swimmer to mentally practice her race start by adopting the proper position on the starting block at the swimming pool, as opposed to sitting on a chair at home. Both types of people will typically imagine within the sport and exercise environment where the benefits of this technique are maximized.
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