Answer:
y=2x-3
Step-by-step explanation:
Hi there!
We are given the points (0, –3) and (4, 5)
We want to find the equation of the line between these points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{5--3}{4-0}[/tex]
Simplify
m=[tex]\frac{5+3}{4-0}[/tex]
m=[tex]\frac{8}{4}[/tex]
Divide
m=2
We found the slope of the line.
Here is the equation of the line so far:
y=2x+b
Now let's find b
As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0
One of the points we were given (0, -3) is actually the y intercept of the line!
The value of b is the value of y at the y intercept; in this case, b is equal to -3
Now substitute -3 as b in the equation.
y=2x-3
Hope this helps!
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Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?
Answer:
d
Step-by-step explanation:
The explicit rule for this sequence in simplified form is,
⇒ [tex]a_{n}[/tex] = 500n + 30,000
Where, n is number of months.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Mr. Red's first year salary is $30,000 and it increases by $500 each year.
Now, Let number of months = n
We can formulate explicit rule for this sequence in simplified form as,
⇒ [tex]a_{n}[/tex] = 500n + 30,000
Therefore, The explicit rule for this sequence in simplified form is,
⇒ [tex]a_{n}[/tex] = 500n + 30,000
Where, n is number of months.
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1. Match the picture of the triangle to the correct name for its center,
1. d 2. a 3. c 4. b
Step-by-step explanation:[tex]1.d\ \{The\ intersection\ of\ three\ high\ lines\}[/tex]
[tex]2.\ a[/tex]
[tex]3.\ C[/tex]
[tex]4.\ b\ \{The\ intersection\ of\ three\ angular[/tex]
[tex]bisectors\}[/tex]
I hope this helps you
:)
Answer:
dbcaStep-by-step explanation:
Various centers are defined for a triangle, depending on how they're constructed. Here, you're asked to match the construction with the name.
__
OrthocenterThe orthocenter is the intersection of the altitudes of the triangle. Each altitude intersects a vertex and is orthogonal to the opposite side. The orthocenter will not be inside the triangle if the triangle is obtuse. The orthocenter of a right triangle is the right-angle vertex.
Figure D depicts the intersection of altitudes.
__
IncenterThe incenter is the center of an inscribed circle of a triangle. The incenter must be the same distance from each side, so will be at the point of intersection of the angle bisectors. It always lies inside the triangle.
Figure B depicts the intersection of angle bisectors.
__
CentroidThe centroid is the "center of gravity" of the triangle, the point at which the triangle could be balanced. Each median divides the triangle into two equal areas, so the intersection of medians marks a spot with equal area (weight) in every pair of opposite directions.
Figure C depicts the intersection of medians.
__
CircumcenterThe circumcenter is the center of a circle that circumscribes the triangle. It is equidistant from the three vertices, so lies on the intersection of the perpendicular bisectors of the sides. It will lie outside the triangle for obtuse triangles. It is the midpoint of the hypotenuse of a right triangle.
Figure A depicts the intersection of perpendicular bisectors of the sides.
Determine whether the given value is a solution of the equation.
Answer:
Is a solution
Step-by-step explanation:
Just do the division [tex]\frac{52}{13}[/tex]
What is the area of a pillow that is 12 1/2 inches long and 15 1/2 inches wide?
Answer:
193.75in or 193 3/4 in.
Step-by-step explanation:
To find the area, multiply the length x width.
12.5 x 15.5 = 193.75in
:)
Answer:
193.75 inch
Step-by-step explanation:
Area= Length ×Width
12.5*15.5
What is the area of a circle with the diameter of 10
PLEASE HELP MATH. WILL GIVE BRAINLIST AND TONS OF POINTS
Answer:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
[tex]\sf 3.78\times 10^{4}[/tex]
Step-by-step explanation:
Scientific notation: [tex]\sf a \times 10^b[/tex]
(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)
Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:
[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]
Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]
[tex]\sf =0.378\times 10^{5}[/tex]
[tex]\sf =3.78\times 10^{4}[/tex]
(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)
On Tuesday, Karen finished all her chores in 3/4 of an hour. On Wednesday, she finished her chores in 5/12 of an hour. How much faster was Karen on Wednesday than Tuesday?
Could someone help me with this
What is -x<-29?
Answer:
its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive
Step-by-step explanation:
Answer:
Assuming you're hoping to solve the inequality for x, x > 29
Step-by-step explanation:
When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.
simplify the following 72÷6+3×2
Answer:
18
Step-by-step explanation:
Use PEDMAS
In this, we have to do first division , then multiplication and finally addtion.
72 ÷ 6 + 3*2 = 12 + 3*2 {division is done}
= 12 + 6 {Multiplication is done}
= 18
What are the coordinates of the point on the directed line segment from (-1, -1) to
(5,-5) that partitions the segment into a ratio of 1 to 3?
The partitions involves dividing the line into subsegments
The coordinate of the point on the directed line segment is (0.5,-2)
How to partition the line?The given parameters are:-
line segment = (-1, -1) to (5,-5)
Segment ratio = 1 : 3
The coordinates of the partition is calculated as:
[tex](x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})[/tex]
Substitute known values
[tex](x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})[/tex]
Evaluate the products
[tex](x,y) = (\frac{2}{4},\frac{-8}{4})[/tex]
Evaluate the quotients
[tex](x,y) = (0.5,-2)[/tex]
Hence, the coordinate of the partition is (x,y) = (0.5,-2)
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I will mark you brain list and Give you 90 point if you do it right and answer right thanks
Answer:
11 Students
Step-by-step explanation:
It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.
Answer:
Step-by-step explanation:
(Score for Question 1:
of 5 points)
1. The diagram shown is two intersecting lines. The measure of 5 is 47°
(a) What is the measure of 7? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of 6 can be represented by (2x-5). What equation can be written to solve
for the value of x?
(c) What is the value of x?
Answer:
Answer:
a ground fault circuit interrupted
Answer:
By using what we know about intersecting lines, we will see that: a) ∡7 = 47° b) 47° + (2x - 5)° = 180° c) x = 69 How to get the measures of the angles for two intersecting lines? When two lines intersect, 4 angles are formed. There are two properties that these angles have. If the angles are adjacent, then their measures add up to 180° If the angles are not adjacent, these angles have the same measure. a) We know that ∡5 = 47° And 7 is not adjacent to 5, then 7 has the same measure: ∡7 = 47° b) 6 and 5 are adjacent, then we must have that: ∡5 + ∡6 = 180° 47° + (2x - 5)° = 180° That is the equation we need to solve to get the value of x. c) To solve the linear equation we need to isolate x, let's do that: 47° + (2x - 5)° = 180° (2x - 5)° = 180° - 47° = 133° 2x - 5 = 133 2x = 133 + 5 = 138 x = 138/2 = 69. If you want to learn more about linear equations, you can read: brainly.com/question/1884491
Match each word with the correct part of the expression.
5x + 12
coefficient
5x + 12
variable
5x + 12
term
5x + 12
constant
Expression: 5x + 12
Coefficients (The number directly next to the variable): 5
Variable (A letter that stands for a unknown number): x
Term (A single mathematical expression): 5x , 12
Constant (A term that has no attached variables): 12
Answer:
Step-by-step explanation:
How come the π/6 is equal to 1/2 and radical 3 over 2?
Answer:
cos(π/6)= radical 3 over 2 sin(π/6) = 1/2
Step-by-step explanation:
In the unit circle the coordinates of the point for the particular angle can be expressed by cos(x) for the x value and sin(x) for the y value. For π/6, the point's x value is radical 3 over 2 as expressed by cos(π/6) and the y value is 1/2 as expressed by sin(π/6)
(10) The population of bacteria an experiment can be modeled by d p(d)= 400(1.56)^d , where d is the number of days the population has been growing.
(a) Find the average rate the population has been growing over the interval 0≤d≤7.
Round to the nearest integer and include appropriate units.
(b) If the population of bacteria was modeled as a function of the number of hours, h,
such that h p(h)= 400b^h then what would be the value of b to the nearest thousandth?
Show or explain how you found your answer.
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Let p represent the population of the bacteria after d days.
[tex]P(d)=400(1.56)^d\\\\P(7)=400(1.56)^7=8994\\\\P(0)=400\\\\\\Average\ rate\ of\ change=\frac{P(7)-P(0)}{7-0}=\frac{8994-400}{7-0} =1228[/tex]
b) 24 hours = 1 day, hence:
[tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
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¿ Cuanto es 3 por 5 centésimas ?
Answer:
0.15 or 3.05
Step-by-step explanation:
3*(5/100) = 15/100 = 3/20 = 0.15
or
3 5/100 = 305/100 = 61/20 = 3.05
dependiendo de lo que esté tratando de encontrar
lo siento si mi español es malo
espero que esto ayude
Help me please!!!!!!!!
Answer:
p(5,4)====P'(-4,5)....
Anyone help Please tysm
=========================================================
Explanation:
Count the number of leaves for each stem.
The first row has 5 leaves, the next has 8, and so on.
This is the list of leaf counts for each row when reading from top to bottom.
58873Add those leaf counts to get 5+8+8+7+3 = 31
There are 31 leaves total to represent the n = 31 values in this data set.
The median is in slot n/2 = 31/2 = 15.5 = 16 which is at the exact center.
Notice how 5+8 = 13 is too small compared to slot 16
But 5+8+8 = 21 is too big. Therefore, the median in slot 16 is somewhere in the third row.
Specifically, it's the third item in that row because 13+3 = 16
The third item in the the third row is the leaf 4. It pairs with the stem 3
stem = 3 and leaf = 4 combine to the value 34. The median is 34.
---------------------------------------
Another way to find the median:
Start with the first leaf in the first row (that value being 6). It pairs up with the last leaf in the last row (that value is 5). Cross those outer-most values from the list.
Repeat that step with the next outer-most values (7 in row one and 2 in row five). This process of crossing out the outer-most values will gradually narrow the list down until we approach the very middle item. You should arrive at the "4" in the third row.
This process is longer than the first method in the previous section, but it might be handy to see it being visual like this.
Answer: 26.533
Step-by-step explanation: add the leaf numbers and multiply them with the respective stem number and all those add together. the result divided by the sum of stem numbers.
Find a polynomial of the specified degree that has the given zeros.
Degree 5;
zeros -4, -3, 0, 4, 3
Answer:
f(x)=x(x+4)(x+3)(x-4)(x-3)
Step-by-step explanation:
hello :
an polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)
means : f(x)=x(x+4)(x+3)(x-4)(x-3)
1 ll cm 5 cm 5 cm Surface area
Answer:
pls send the image along with it. So it can be solved
A large set of data was collected and analyzed for the majors of college seniors in the U.S. From the scatter plots produced the following associations were observed. The linear model P(t) 2,376 + 73,219 can be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000 - The linear model B(t) = 2, 414t + 56, 545 can be used to estimate the number of college ( seniors who graduated with a bachelor's degree in biology, tyears after 2000. Which of the following statements are true? The number of psychology degrees increases by about 73,219 each year after 2000. The number of biology degrees increases by about 2.414 each year after 2000. About 73.000 students graduated with degrees in psychology in 2000. About 2.400 students graduated with degrees in biology in 2000. in 2000, more students graduated with psychology degrees than biology degrees
Using linear function concepts, it is found that the true statements are as follows:
The number of biology degrees increases by about 2.414 each year after 2000. About 73.000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.In this problem, for psychology, the model for the number of graduated students in t years after 2000 is:
P(t) = 2,376t + 73,219.
For biology, it is given by:
B(t) = 2,414t + 56, 545
Hence, the correct statements are:
The number of biology degrees increases by about 2.414 each year after 2000. About 73.000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.More can be learned about linear function concepts at https://brainly.com/question/24808124
Need help with this geometric question ASAP, Thank you
Find the mean of the data.
8,14,22,7,2,11,25,7,5,9 PLEASE!!!!!!!!
Answer:
11
Step-by-step explanation:
To find the mean:
Add up all data values to get the sum then count the number of values in your data set. Lastly, divide the sum by the count.
Solution:
Thus,
2+ 5+7+7+8+9+11+ 14+22+25=110
110/10 = 11
Therefore, the mean is 11.
~lenvy~
Answer:
Step-by-step explanation:
just put them in order from least to greatest then find the middle number
Jacori wants to estimate the proportion on seniors who will participate in graduation. He interviews a simple random sample of 40 of the 514 seniors at his school. He find that 34 are planning to participate. Is the normal condition for finding a confidence interval met?
Using the Central Limit Theorem, it is found that the condition is not met, as there are less than 10 failures.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, 34 of the 40 seniors are planning to participate in graduation, hence:
np = 34.n(1 - p) = 6 < 10.Since there are less than 10 failures, the normal condition for finding a confidence interval is not met.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let F represent temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
At 0°C, the temperature is 32°F. Also at 100°C, the temperature is 212°F, hence:
[tex]C-0=\frac{100-0}{212-32} (F-32)\\\\C=\frac{5}{9} (F-32)[/tex]
The relationship between the temperature in celsius to the temperature in Fahrenheit is C = (5/9)(F - 32)
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At the store grapes are on sale. You can buy 3 pounds for
$2 dollars. At that rate, how many pounds can you buy
for $8? Show how you know.
Answer:
If you buy 3 pounds for $2, and have 8 dollars to spend, then multiply 2x4 to get $8. Since we multiplied by 4 for the money, we do the same thing for the pounds of grapes. So, we multiply 3x4 to get 12 pounds. So, you can buy 12 pounds of grapes for $8.
Step-by-step explanation:
Hope this helps! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP.
What is the area of a triangle whose sides have length $\sqrt{70},$ $\sqrt{70},$ and $\sqrt{28}$?
Answer:
980
Step-by-step explanation:
[tex]A = \frac{H.B}{2} = \frac{28.70}{2} = 980[/tex]
Hope it helps!!!Brainliest pls!!!Answer:
21
Step-by-step explanation:
Ms Lim bought x pencils and two more pens than pencils. (b) Each pencil costs 60 cents and each pen costs $2. Write down, in terms of x, the total cost in dollars of the pencils and pens which Ms Lim bought
Answer:
0.60x + ((x+2)(2)) = total cost
Step-by-step explanation:
The pencils = 60 cents
0.60x = (0.60, the money, multiplied by x number of pencils)
The pens = 2 dollars
2(x+2) = (2, the money, multiplied by x number of pencils + 2 more pens)
Answer:
($2.60x + $4 = TC(x)
Step-by-step explanation:'
The number of pens bought would be x + 2, where x is the number of pencils bought. Then:
Total cost = ($0.60/pencil)x + ($2/pen)(x + 2) = ($2.60x + $4 = TC(x)
how do you write a solution set when there are infinite solutions
Answer:
it depends
Step-by-step explanation:
sometimes a teacher will accept "there are infinite solutions" but if you cant you may need to do something else(this applies to basically everything)
for an example lets use x=1
(1,+infinity)
or
(1,-infinity)
(this is being graphed.) (this may not apply to everything)
i hope this helps
Help! 10 Points !!
A line passes through the point (-8. 5) and has a slope of -5/4