Answer:
Three arithmetic means between -16 and 4 are : 20 , 10 and [tex]\frac{20}{3}[/tex]
Step-by-step explanation:
we have to find out three arithmetic means between -16 and 4
-16 , ____ , ____ , ____ 4
so , lets take the mean like this ,
-16 , -16+d , -16+2d ,-16+3d , 4
First mean -: -16 +d = 4
d= 4+16
d = 20
second mean -: -16 +2d = 4
2d= 4+16 = 20
d= [tex]\frac{20}{2}[/tex]
d= 10
third mean -: -16+3d = 4
3d = 20
d=[tex]\frac{20}{3}[/tex]
Therefore , all the three arithmetic means between -16 ad 4 are 10 , 20 and [tex]\frac{20}{3}[/tex] .
From 1990 to 2000, the population of California can be modeled by P = 29, 816,591(1.0128) where t is the
number of years since 1990.
A. What was the population in 1990?
B. What is the growth factor?
C. What is the annual percent increase?
D. Estimate the population in 2007.
The population is modeled with an exponential equation, and using what we know about exponential equations we will see that:
A) P(0) = 29,816,591B) the growth factor is 1.0128C) 1.28%D) P(17) = 37,013,551.9How to identify the parts of the exponential equation?
Here we have the exponential equation:
P(t) = 29,816,591*(1.0128)^t
A) The population in 1990 will be given by P(0), this is:
P(0) = 29,816,591*(1.0128)^0 = 29,816,591
B) For an exponential:
A*(b)^x
We can rewrite it as:
A*(1 + r)^x
In this case, b is the growth factor, so in our function, the growth factor is 1.0128
C) Using the above notation, the percent increase by year is given by 100% times r, so first let's get the value of r.
r = b - 1 = 1.0128 - 1 = 0.0128
Then the percent increase is: 0.0128*100% = 1.28%
D) The year 2007 comes 17 years after 1990, so we need to evaluate the equation in t = 17, we will get:
P(17) = 29,816,591*(1.0128)^17 = 37,013,551.9
If you want to learn more about exponential equations, you can read:
https://brainly.com/question/11832081
Find N' after N(2, 3) was reflected over the line y = x + 2.
Answer:
Step-by-step explanation:
Did u find the answer?
The reflected over the line y=x+2 is A''(-3,-2). Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point, but is on the other side of the line.
What is meant by reflected over the line?Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point, but is on the other side of the line. This transformation is known as a reflection over line.
A transformational process turns a figure into a reflection. Figures can be reflected in a point, a line, or a plane. When reflecting a figure in a line or a point, the image and preimage coincide. A reflection converts each point of a figure from a point to an image across a fixed line.
From the additional image, you can see that the coordinates of image point A' are after reflection point A about the line y=-x (-3,2).
Next, the coordinates of reflection point A' about the x-axis are (-3,-2).
The complete question is : Find the image of A (-2,3) reflected in the line y= -x and then in the x axis
To learn more about reflected line refer to:
https://brainly.com/question/26642069
#SPJ2
9. D(-3, -8), E(1, -2)
Midpoint
You have $35.72 to spend for a sweatshirt. The sales tax is 7% what is your price limit for the sweatshirt?
Answer:
33.22
you multply 35.72 by 7%
why is " 3 meals a day" a unit rate
Answer:
its a unit rate because it compares 3 meals to 1 day (ex. breakfast, lunch, dinner all = 1 day)
Step-by-step explanation:
.
.
..
.
.
.
...
.
.
.
.
.
.
.
.
.
.
..
.
.
.
.
.
.
.
.
Write the equation of the line that passes through the given point and has the given slope. (-12,5)
slope = 1/3
Answer: y= 1/3x + 41
Answer:
[tex]_{\text{point-slope form}}[/tex]
[tex]\huge\boxed{y-5=\dfrac{1}{3}(x+12)}[/tex]
[tex]_{\text{slope-intercept form}}[/tex]
[tex]\huge\boxed{y=\dfrac{1}{3}x+9}[/tex]
[tex]_{\text{standard form}}[/tex]
[tex]\huge\boxed{x-3y=-27}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m[/tex] - slope
[tex](x_1;\ y_1)[/tex] - a point on a line
We have
[tex]m=\dfrac{1}{3};\ (-12;\ 5)\to x_1=-12;\ y_1=5[/tex]
Substitute:
[tex]y-5=\dfrac{1}{3}(x-(-12))\\\\y-5=\dfrac{1}{3}(x+12)\\==================[/tex]
[tex]y-5=\dfrac{1}{3}(x+12)\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\y-5=\dfrac{1}{3}x+4\qquad|\text{add 5 to both sides}\\\\y=\dfrac{1}{3}x+9\\=======================[/tex]
[tex]y=\dfrac{1}{3}x+9\qquad|\text{multiply both sides by 3}\\\\3y=x+27\qquad|\text{subtract}\ x\ \text{from both sides}\\\\-x+3y=27\qquad|\text{change the signs}\\\\x-3y=-27[/tex]
100 yards
40 yards
40 yards
100 yards
1.
What is the area of one of the blue half circles? HINT: Remember, Area = pi x radius squared.
So you will need to use the 40 (this is the diameter so make sure you find the radius). Then
since you only want a half circle, you will need to divide it by 2. SHOW ALL WORK!
Answer:
Depends on how the teacher wants the answer:
400π (in terms of pi) or 1256.6 (rounded to tenths place)
Step-by-step explanation:
40/2 = 20, the radius of one of the blue circles
Use the formula: πr², but divide it by 2 because it is a semicircle
π20² = 400π = 1256.63706
Let me know if you need help rounding it if the question asks you to.
Cole hauls heavy equipment from North Dakota to Winnipeg. After crossing into Canada, he sees a sign that says the weight limit for the road is 7 metric tons. He must decide whether to drive on this road or to take a detour. How many U.S. standard tons are allowed on the road?
Work Shown:
1 metric ton = 1.1023 US tons
7*(1 metric ton) = 7*(1.1023 US tons)
7 metric tons = 7.7161 US tons
Is 7 a solution to the compound inequality
Answer:
yes
Step-by-step explanation:
any number more than 5 works, even 5.01
A father is 34 years of age. At present his son is 8 years old. In how many years will the father be three times as old as his son ? (11 6 years (3) 4 years (2) 5 years (4) 3 years
can someone give me formulas to calculate area
Answer:
Step-by-step explanation:
Triangle
Area = ½ × b × h
b = base
h = vertical height
Square
Area = a2
a = length of side
Rectangle
Area = w × h
w = width
h = height
Parallelogram
Area = b × h
b = base
h = vertical height
Trapezoid (US)
Trapezium (UK)
Area = ½(a+b) × h
h = vertical height
Circle
Area = π × r2
Circumference = 2 × π × r
r = radius
Ellipse
Area = πab
Sector
Area = ½ × r2 × θ
r = radius
θ = angle in radians
Please help
Find the indicated side of the triangle
What is a= ?
Answer:
28[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The given is a special right triangle with angle measures : 45-45-90
The side lengths in this special triangle is follows as x[tex]\sqrt{2}[/tex]-x[tex]\sqrt{2}[/tex]-x
x represent the side length that sees the angle measure with 90 and it is given as 28 here so x[tex]\sqrt{2}[/tex] or a in this case is equal to
28[tex]\sqrt{2}[/tex]
Add 3 to a number and then double the result. If the total is 22, find the number.
omari bought some magnets and spinners. each magnet cost $2 and each spinner cost $4. he bought 7 more magnets than spinners and spent a total of $104. how many magnets did he buy?
Answer:
22 Magnets
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Write an equation that represents the line.
Use exact numbers.
Answer:
3x - 4y + 8 = 0
Step-by-step explanation:
In figure,
When x = 0, y = 2
x = 4, y = 5
Two points on the line are (0, 2) & (4,5).
Slope = (5 - 2)/(4 - 0)= 3/4
Equation is:
=> y - 2 = (3/4)(x - 0)
=> y - 2 = 3x/4
=> 4y - 8 = 3x
=> 3x - 4y + 8 = 0
Use synthetic division to find the expression for the area of the base of a rectangular prism with height x + 4 and volume x3 + 2x2 – 17x – 36.
2x2 – 9x
x2 + 6x – 24
x2 – 2x – 9
–4x2 + 8x + 36
The expression for the area of the base is x² – 2x – 9. Therefore, the correct answer is (C) x² – 2x – 9.
To use synthetic division, we first need to set up the divisor in the correct form. Since we are looking for the expression for the area of the base of the rectangular prism, we know that the volume of the prism is given by:
volume = (area of base) × (height)
We are given that the height is x + 4, and the volume is x³ + 2x² – 17x – 36. Therefore, we can write:
x³ + 2x² – 17x – 36 = (area of base) × (x + 4)
Now we can use synthetic division to find the expression for the area of the base. The divisor is x + 4, so we write:
-4 | 1 2 -17 -36
| -4 8 36
|-----------------
1 -2 -9 0
The last number in the bottom row is 0, which means that x + 4 is a factor of the polynomial. The other numbers in the bottom row give us the coefficients of the quotient polynomial. Therefore, we can write:
x³ + 2x² – 17x – 36 = (x + 4)(x² – 2x – 9)
So the expression for the area of the base is x² – 2x – 9. Therefore, the correct answer is (C) x² – 2x – 9.
Learn more about synthetic division here:
https://brainly.com/question/28824872
#SPJ7
Please help
45−3x=18x
Answer:
Your answer is: x = 15/7
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Sue jarred 30 ounces
of jam in 3 days.
How many ounces
of jam can Sue jar
in 5 days?
It’s one of those 2.
Answer:
50 ounces
Step-by-step explanation:
hope it helps you
Follow on insta for more help ankitakki45
thanks
One athlete runs around a track in 65 seconds.
The second athlete takes 70 seconds. If they
both start together
when will the first lap the second?
Answer:
in the 13th lap
Step-by-step explanation:
what are the missing numbers?
Answer:
30
19.5
16
Step-by-step explanation:
you need to find the rule, so divide 12 by 8 and see the factor is 1.5, so just multiply all the numbers by 1.5 to get the second column, and for the last one divide the number by the factor
Answer:
20 honey = 30 flour
13 honey = 19.5 flour
16 honey = 24 flour
Step-by-step explanation:
CROSS MULTIPLYING:
12x20=240, 240/8=30
13x12=156, 156/8= 19.5
8x24=192, 192/12=16
Where in the bible is there an indication of the value of pi.
Answer:
No where
Step-by-step explanation:
Will give brainliest
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario.
What number will complete the point-slope equation that models this scenario?
y−50,000=[_______](x−10)
−3,000
−2,000
2,000
3,000
Answer:
- 3000 is the answer
Step-by-step explanation:
just took the test on edu
The slope of the given equation is -3000.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
We are aware that the Havertown newspaper had 80,000 readers in the year 2000 (when x=0) and 50,000 readers in the year 2010 (when x=10). With this knowledge, we can determine the slope of the line that depicts this situation:
slope = (change in y) / (change in x) = (50,000 - 80,000) / (10 - 0) = -3,000
So the slope of the line is -3,000.
We also have a point on the line: (10, 50,000). Using the point-slope form of the equation of a line, we can write:
y - 50,000 = -3,000(x - 10)
Now we just need to find the value that goes in the blank to complete the equation.
Because the line's slope is -3,000, y reduces by 3,000 for every unit increase in x.
We can see that a one-unit increase in x corresponds to a one-year increase in the time since x indicates the number of years from the year 2000. As a result, we might conclude that 3,000 fewer copies of the newspaper were distributed annually.
The point-slope equation is complete when:
y - 50,000 = -3,000(x - 10)
So the answer is -3,000.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ7
Write an equation of a line that passes through the point Z (6, – 2) and is perpendicular to the line y=-1/3x + 2
Answer:
y = 3x - 20
Step-by-step explanation:
First, we have to find the slope of the equation. We can do by taking the opposite reciprocal of the slope of the original line.
The opposite reciprocal of-1/3 is 3/1 or 3.
So, the slope of our equation will be 3. Our equation so far is:
y = 3x + b.
To find b, or the y-intercept of the line, we can simply substitute the given coordinates into the equation. If we replace x with 6 and y with -2 and solve the equation, we can find the value of b.
-2 = 3(6) + b
-2 = 18 + b
-2 - 18 = b
b = -20
So the equation is,
y = 3x -20.
To check our equation, we can again substitute the coordinates into the equation and solve. If both sides are equal, then the equation is correct.
-2 = 6(3) - 20
-2 = 18 - 20
-2 = -2
The two lines are perpendicular if a 90° angle is formed when they
intersect.
The equation of the line that passes through point Z(6, -2) and is perpendicular to the line [tex]y = -\dfrac{1}{3} \cdot x + 2[/tex] is ; y = 3·x - 20
Reason:
The equation of the required line is, y = 3·x - 20
The given point is Z(6, -2)
Perpendicular to the line, [tex]y = -\dfrac{1}{3} \cdot x + 2[/tex]
Solution:
The slope of a line perpendicular to another line having a slope, m, is [tex]-\dfrac{1}{m}[/tex]
The slope of the given line is [tex]-\dfrac{1}{3}[/tex]
The slope of the perpendicular line is therefore;
[tex]m = -\dfrac{1}{\left(-\dfrac{1}{3}\right)} = \dfrac{3}{1} = 3[/tex]
The point and slope form of the equation of the given line is therefore;
y - (-2) = 3·(x - 6)
y + 2 = 3·x - 3×6 = 3·x - 18
y = 3·x - 18 - 2 = 3·x - 20
y = 3·x - 20
The equation of the line that passes through point Z(6, -2) and is perpendicular to the line [tex]y = -\dfrac{1}{3} \cdot x + 2[/tex] is therefore;
y = 3·x - 20
Learn more here:
https://brainly.com/question/14105283
The approximate distance between Earth and the Sun is 93,000,000 miles. Write this number in scientific notation. Do not include the units.
Answer:
9.3x107 (if I'm wrong I'm stoopid)
Step-by-step explanation:
Denise drew a diagram of part of a slide at a community playground.The slides ladder forms two angles with the ground.The measurement of one angle is half the measurement of the other.What are the measures of the angle show your work.
Applying the concept of supplementary angles, their measures are of 60º and 120º.
What are supplementary angles?Two angles are called supplementary if the sum of their measures is of 180º.
In this problem, we have that the measurement of one angle is half the measurement of the other, and they are supplementary, hence:
[tex]x + \frac{x}{2} = 180[/tex]
[tex]\frac{3x}{2} = 180[/tex]
3x = 360
x = 120
x/2 = 120/2 = 60º.
The measures of the supplementary angles are of 60º and 120º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:
f(x)
150
120 +
90
60
30
х
2
3
4
5
7
-
-3 -2 -1
-30
8
11
Part A: What do the x-intercepts and maximum value of the graph represent in context of the described situation?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit for the company in the situation described?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent in
context of the described situation?
I need help please !!!!!
Answer:
hello
4/14 x 5 /14 = 20/196 = 5 / 49
Step-by-step explanation:
Answer:
it's A. 1/3 because yes it's a
Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice to make cranberry-apple juice. He also wants to sell the juice at cost for $4.50 per quart. Which equation below represents the situation?
A. 3.60(q – 4) + 25.20 = 4.50q
B. 3.60q + 25.20 = 4.50(q + 4)
C. 6.30(q – 4) + 14.40 = 4.50q
D. 6.30q + 14.40 = 4.50(q + 4)
Answer:
The correct answer is D
Step-by-step explanation:
Cost of q quarts of Cranberry juice will be: $ 6.30q and cost of 4 quarts of apple juice will be $ (3.60×4)= $ 14.40. Total quarts of items would be q+4 , and he also wants to sell the juice at cost for $4.50 per quart. That means that the total cost to sell the juices will be $4.50(q+4) . Also, Total cost= Cost of q quarts of cranberry juice+cost of 4 quarts of apple juice.
PLZ HELP MEEEE!!!!!! IN TEST .....Use slope-intercept form to write the equation of a line that has a slope of −2
and passes through the point (-4, 1)
Answer:
you would end up at (-4,-1)
Step-by-step explanation:
Ye Samantha left home with $42.51. The subway fare was $1.20. At the sta-
tion she bought a magazine for $1.95. Lunch cost $4.36. After work she
bought a skirt on sale for $26.00. Her subway fare home was also $1.20.
At the station Shelly gave Samantha $5 to pay back a loan. How much
money did Samantha have at the end of the day?