Answer:
This is a geometric sequence with a common ratio of -4
Step-by-step explanation:
Take the second term and divide by the first term
-4/1 = -4
Take the third term and divide by the second term
16/-4 = -4
Take the fourth term and divide by the third
-64/16 = -4
This is a geometric sequence with a common ratio of -4
This table shows values that represent a quadratic function.
What is the average rate of change for this quadratic function for the interval
from x= 1 to x= 3?
Answer:
D. -4
Step-by-step explanation:
Using the general formula, [tex] m = \frac{f(b) - f(a)}{b - a} [/tex] , average rate of change for the quadratic function from x = 1 to x = 3, can be calculated as shown below:
Where,
[tex] a = 1, f(1) = -2 [/tex]
[tex] b = 3, f(3) = -10 [/tex]
Plug in the above values in the average rate of change formula:
[tex] m = \frac{-10 - (-2)}{3 - 1} [/tex]
[tex] m = \frac{-10 + 2}{2} [/tex]
[tex] m = \frac{-8}{2} [/tex]
[tex] m = -4 [/tex]
Average rate of change is D. -4
Help! Complete the number pattern so that the numbrr in the blue is larger. Circle the sum of the two nunbers in the adjacent grey smaller circle. Indicate weather the solution is unique.
Answer:
Step-by-step explanation:
how do i circle? i know answer but how to tell you?
Tyler and Jamie decide to share a box of 50 candy bars. To their pleasant surprise, there are 5 extra candy bars in the box. They agree that Tyler gets at least eight more candy bars than Jamie. What is the minimum number of candy bars that Tyler gets. Can I get a step by step explanation please? Thank you!
Answer:
Minimum candy Tyler gets = 32
Step-by-step explanation:
Given:
Number of candy in box = 50
Extra candy = 5
Find:
Minimum candy Tyler gets
Computation:
Assume.
Number of candy Tyler gets = x
Number of candy Jamie gets = x - 8
Total number of candy in box = 50 + 5 = 55
So,
Number of candy Tyler gets + Number of candy Jamie gets = Total number of candy in box
x + x - 8 = 55
2x = 63
x = 31.5
So,
Minimum candy Tyler gets = 32
Find the area of each figure. Round to the nearest tenth if necessary.
Shape 1: TRIANGLE
Formula: A = 1/2 x bh
1/2 x (10)(5) = 25
AREA: 25 square yards
Shape 2: RECTANGLE
Formula: A = lw
(12)(10) = 120
AREA: 120 square yards
Sum (ADD)
25 yd^2 + 120 yd^2 = 145 yd^2
The area of the composite figure is 145 yd^2
What is the measure of the acute angle formed by the lines 3x–5y=–15 and 4x+2y=7?
Answer:
85.6 degrees.
Step-by-step explanation:
The given equations of lines are
[tex]3x-5y=-15[/tex]
[tex]4x+2y=7[/tex]
We need to find the measure of the acute angle formed by these lines.
[tex]Slope=\dfrac{-\text{Coefficient of }x}{\text{Coefficient of }y}[/tex]
Slope of given lines are
[tex]m_1=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]
[tex]m_2=\dfrac{-4}{2}=-2[/tex]
Angle between two lines is
[tex]\tan \theta = \left|\dfrac{m_1-m_2}{1+m_1m_2}\right|[/tex]
[tex]\tan \theta = \left|\dfrac{\dfrac{3}{5}-(-2)}{1+\dfrac{3}{5}(-2)}\right|[/tex]
[tex]\tan \theta = \left|\dfrac{\dfrac{3+10}{5}}{\dfrac{5-6}{5}}\right|[/tex]
[tex]\tan \theta = \left|\dfrac{13}{1}\right|[/tex]
[tex]\tan \theta = 13[/tex]
[tex]\theta = \tan^{-1}(13)[/tex]
[tex]\theta \approx 85.6^{\circ}<90^{\circ}[/tex]
Therefore, the acute angle between given lines is 85.6 degrees.
The five-number summary for the number of touchdowns thrown by each quarterback in the British Football League is shown in the following table. About what per cent of quarterbacks in the British Football League threw more than 13 touchdowns?
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
helpyffhvjvjnvhdfuguig
Answer:
x = 0, x = 4
Step-by-step explanation:
12x - 21 = 5x + 7(x - 3)
First, foil out the right side --> 5x² - 15x + 7x - 21, which simplifies down to 5x² - 8x - 21.
Move the 12x - 21 to the right side by subtracting --> 0 = 5x² - 20x.
Factor out a 5x --> 0 = 5x(x - 4)
If you want to solve for x, set 5x = 0 and x - 4 = 0.
For 5x = 0, divide both sides by 5 to isolate the x --> x = 0/5, which simplifies down to x = 0.
For x - 4 = 0, add 4 to both sides to isolate the x --> x = 0 + 4, which simplifies down to x = 4.
Plug the values back into the original equation to check if it works
12(0) -21 = 5(0) + 7((0) - 3) --> -21 = -21
12(4) - 21 = 5(4) + 7((4) -3) --> 27 = 27
Hope this helps!
i’ll mark you brainliest and give more points, please show workkkk
Answer:
10.5% compounded quarterly will be worth more at the end of 7 years.
Step-by-step explanation:
Investment 1:
Principal=$1,000
t=7 years
n=12 months
r=9%=0.09
FV=PV(1+r/n)^nt
Where,
FV=future value
PV=present value
r=interest rate
t=time (years)
n=number of periods
FV=PV(1+r/n)^nt
=1000(1+0.09/12)^12*7
=1000(1+0.0075)^84
=1000(1.0075)^84
=1000(1.8732)
=1,873.2
FV=$1,873.2
Investment 2:
Principal=$1,000
t=7 years
r=10.5%=0.105
n=4
FV=PV(1+r/n)^nt
=1000(1+0.105/4)^4*7
=1000(1+0.02625)^28
=1000(1.02625)^28
=1000(2.0658)
=2,065.8
FV=$2,065.8
10.5% compounded quarterly will be worth more at the end of 7 years.
Please help me with this!!!
Answer:
(f•g)(2)=3 and (g•f)(6)=7
Step-by-step explanation:
look at the tables
where x is equal to both 2 and 7 is where you will find your answer
Hope this helps you!
Plzzz help I’ll give brainlest
Answer:
cos y = r/q
Step-by-step explanation:
If we know sin y = 7/q, then we know that the base is 7 and the hypotenuse is q due to sine = opposite/hypotenuse.
If we know tan y = 7/r, then we know that the base is 7 and the right side is r due to tan = opposite/adjacent.
Cos = adjacent / hypotenuse
So cos y = r/q, because the right side is r and the hypotenuse is q.
Answer:
ignore sorry
Step-by-step explanation:
SOLVE OR SIMPLIFY THIS!! -6-(2x+7)=-2(x+6)-1
[tex]\\ \sf\longmapsto -6-(2x+7)=-2(x+6)-1[/tex]
[tex]\\ \sf\longmapsto -6-2x-7=-2x-12-1[/tex]
[tex]\\ \sf\longmapsto -2x-13=-2x-13[/tex]
[tex]\\ \sf\longmapsto 2x-2x=0[/tex]
[tex]\\ \sf\longmapsto 0[/tex]
Answer:
Step-by-step explanation:
(2x + 7) = - 2(x + 6) - 1
2x + 7 = - 2x + 12 - 1
2x - 2x = 12 - 7 - 1
0x = 4
= 4
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
Just ma duty to help the community
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.09) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2008? A. 9%; $440.36 million B. 19%; $479.99 million C. 9%; $404.00 million D. 19%; $240.89 million
Answer:
A. 9%; $440.36 million
Step-by-step explanation:
Using A(1+r)t, we can subtract 1-1.09=.09*100=9%.
That means the projected annual growth is 9%
Now we can calculate the worth of the company by replacing t=8, 2008-2000=8
[tex]w=221(1.09)^8\\=440.356=440.36 million[/tex]
Find the slope of each line. Then tell what the slope represents.
Answer:
5. Slope = 8.5
6. Slope = -12
7. Slope = 1
Step-by-step explanation:
Slope = y/x - y1/x1
5. => 68/8 - 25.5/3
=> 68 - 25.5 / 8 - 3
=> 42.5 / 5
=> Slope = 8.5
6. => 76/2 - 40/5
=> 76 - 40 / 2 - 5
=> 36 / -3
=> Slope = -12
7. => 4/5.5 - (-1/.5)
=> 4 - (-1) / 5.5 - .5
=> 4 + 1 / 5.5 - .5
=> 5 / 5
=> Slope = 1
Answer:
5. Slope = 8.5
6. Slope = -12
7. Slope = 1
Step-by-step explanation:
Slope = y/x - y1/x1
5. => 68/8 - 25.5/3
=> 68 - 25.5 / 8 - 3
=> 42.5 / 5
=> Slope = 8.5
6. => 76/2 - 40/5
=> 76 - 40 / 2 - 5
=> 36 / -3
=> Slope = -12
7. => 4/5.5 - (-1/.5)
=> 4 - (-1) / 5.5 - .5
=> 4 + 1 / 5.5 - .5
=> 5 / 5
=> Slope = 1
What is the distance between point A and point B? A) 4 units B) 3 units C) 5 units D) 3.5 units
Answer:
C) Distance =5 units
Step-by-step explanation:
[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]
Using the formula for the distance between two points, it is found that the distance between points A and B is given by:
C) 5 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are A(1,1) and B(5,4), hence:
[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]
Hence option C is correct.
More can be learned about the distance between two points at https://brainly.com/question/18345417
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Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink? arrowRight
Answer:
1 :2
Step-by-step explanation:
12 are yellow, 4 are pink
To find the number of red
24 -12 -4 = 8
There are 8 red balls
We want the ratio of
red: yellow or pink
8 : 12+4
8 :16
Divide each side by 8
8/8 : 16/8
1 :2
Answer:1:2
Step-by-step explanation: 12 yellow + 4 pink= 16
24 balls total minus 16 =8 red balls so 8:16=1:2
The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons. What was the total paper waste generated over these two years in the region, expressed in scientific notation?
91.8 ⋅ 107 tons
91.8 ⋅ 1014 tons
9.18 ⋅ 1014 tons
9.18 ⋅ 107 tons
Answer: [tex]9.18 x 10[/tex]⁷[tex]tons[/tex]
Step-by-step explanation:
Given: The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons.
Then, the total paper waste generated over these two years in the region :-
[tex]41,300,000 + 50,500,000 = 91,800,000[/tex]
In scientific notation,
[tex]91,800,800 = 9.18 x 10[/tex]⁷
Hence, the total paper waste generated over these two years in the region =
[tex]9.18 x 10[/tex]⁷ [tex]tons[/tex]
I hope this answer helps you out. Brainliest would be appreciated. Have a nice day :D
The tee for the fifth hole on a golf course is 355 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
184
Step-by-step explanation:
PLSSS HELP PLSSSSSSSS MARKING BRAINLIST QUESTION BELOW
Answer:
Hey there!
CarMart's rate of sales is 11 cars per day.
Winston's rate of sales is 10 cars per day.
Compared with CarMart, Winston is selling fewer cars per day.
Compared with CarMart, Winston started with 2 fewer cars.
Let me know if this helps :)
Answer:
CarMart's rate of sales is 11 cars in a day.
Winston's rate of sales is 10 cars in a day.
Compared with CarMart, Winston is selling less cars in a day.
Compared with CarMart, Winston started with two fewer cars.
Step-by-step explanation:
PLZZZZ ANSWER THIS..
Answer:
In 3 - 5:
3 + (-5), and -5 + 3
In 5 - 3:
5 + (-3), and -3 + 5
Step-by-step explanation:
Category : 3 - 5
Values must equal -2
3 + (-5) = 3 - 5 = -2
-5 + 3 = -2
Category : 5 - 3
Values must equal 2
5 + (-3) = 5 - 3 = 2
-3 + 5 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
help can somewon help me plzz
Answer:
I would say b
Step-by-step explanation:
3 x 10^-4
(5.3.4 journal: describing distributions) Looking at the box plots, do you agree or disagree with each team's conjecture? Explain your reasoning(3 points: 1 point for each row of the chart)
What will come in the circle
I will even rate who ever answer
And give brainliest
Answer:
1st circle: 1.25
Second circle: 2
Step-by-step explanation:
We can use the cross product property here to find the value of what's in the circles.
Let's first look at the first two fractions.
[tex]\frac{x}{5} = \frac{1}{4}[/tex]
We can multiply the cross values and divide by the number that is diagonal to the variable.
[tex]5\cdot1 = 5\\5\div4 = 1.25[/tex]
So 1.25 goes in the first circle.
Now let's look at the last two circles and use the same property to find the missing value.
[tex]\frac{1}{4} = \frac{0.5}{x}\\ 4\cdot0.5 = 2\\2\div1 = 2[/tex]
So 2 goes in the second circle.
Hope this helped!
Answer:
x = 5/4
Step-by-step explanation:
Use the variable 'x' instead of 'the circle.' Then:
x 1
----- = ------
5 4
Cross-multiplying, we get
4x = 5, and so x = 5/4
Math Question (10 Points):
Answer:
x-axis
Step-by-step explanation:
Answer:
It is the x-axis
Step-by-step explanation:
In a graph, the horizontal part of it is called the x axis.
Here is an definition: horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate plane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V1 and the aquarium. Question 4 options: A) 11 units B) 10 units C) 1 units D) units
Answer:
A
Step-by-step explanation:
To find the distance between V1 and AQ use the distance formula
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
First find the coordinates of both V1: (-6, 5) AQ: (5, 5)
Now plug it in and solve for d (11)
Please help! Dad will murder me if I don't have this done by the time he gets home! 100 points for whoever solves this!
Answer:
3(4)to the 3
Step-by-step explanation:
Express each of the following fractions as percentages
12/25
solution for class 7
[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]
[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]
[tex]\\ \sf\longmapsto 48\℅[/tex]
Plz help, will mark brainliest!
Answer:
-7
Step-by-step explanation:
The relative minimum is the smallest y value
The relative minimum is -7
HELPP (ESPECIALLY PART B) Answer the questions in this part of the task based on your understanding of the definition and the standard equation for the conic you chose. part a Inspect the equation for the type of conic section you chose. What attributes are necessary to graph it? Be sure to include specific points or equations to complete your answer. part b Explain how, if you have the attributes given below for the conic you chose, you can derive its equation in standard form.
The conic section chosen is a parabola, and the attributes for graphing of
a parabola as well as the standard form of the equation are as follows;
Part A: The attribute necessary to graph the equation of the parabola are three points, including, the vertex, the y-intercept and the image of the reflection of the y-intercept across the axis of symmetry.Part B: The equation in standard form is x = -0.25·y² + y + 3Reasons:
Part A:
The equation of the conic section of a parabola is; (x - 3)² = 12·(y - 2)
The vertex form of the equation of a parabola is; y = a·(x - h)² + k
Where (h, k) = The vertex
Rearranging the given equation gives;
(x - 3)² = 12·y - 24
12·y - 24 = (x - 3)²
12·y = (x - 3)² + 24
[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + \frac{24}{12} = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]
[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]
Therefore, the vertex of the parabola, (h, k) = (3, 2)
At the y-intercept, x = 0, which gives;
[tex]\displaystyle y = \frac{1}{12} \cdot \left(0 - 3\right)^2 + 2 = \frac{9}{12} + 2 = 2+\frac{3}{4}[/tex]
[tex]\displaystyle y = 2+\frac{3}{4} = 2.75[/tex]
The y-intercept = (0, 2.75)
The x-intercept is given at the point where y = 0, which gives;
(x - 3)² = 12·(0 - 2) = -24
x - 3 = √(-24) = An imaginary number
Therefore, the graph has no x-intercept
Given that a parabola is symmetrical about the vertex, we have a third
point on the parabola at the image of the y-intercept reflected across the
axis of symmetry as follows;
The y-intercept (0, 2.75) is 3 units to the left of the axis of symmetry, x = 3,
therefore, the third point will be 3 units to the right of the axis of symmetry
at the point (3 + 3, 2.75) = (6, 2.75)
Therefore, using the three points, (0, 2.75), (3, 2), and (6, 2.75), the curve
representing the parabola, (x - 3)² = 12·(y - 2), can be drawn.
Please find attached the graph of the parabola created with MS Excel
Part B; Given the attributes of the parabola; Vertex: (4, 2) and focus: (3, 2), we have;
The focus of a parabola is the point (h + p, k)
Where, (h, k) = The vertex
Therefore, by comparison, we have;
(h, k) = (4, 2)
h + p = 3
Therefore;
4 + p = 3
p = 3 - 4 = -1
The vertex form of the equation of the parabola is; (y - k)² = 4·p·(x - h)
Therefore, we get;
(y - 2)² = 4 × (-1) × (x - 4) = -4·(x - 4)
y² - 4·y + 4 = 16 - 4·x
4·x = 16 - (y² - 4·y + 4) = -y² + 4·y + 12
Which gives, the standard form as follows;
[tex]\displaystyle x = -\frac{y^2}{4} + y + 3 = -0.25 \cdot y^2 + y + 3[/tex]
Standard form of the the equation of the parabola; x = -0.25·y² + y + 3Learn more about the graph of a parabola here:
https://brainly.com/question/2489929
Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving. Graph the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes).
Answer:
Graph these two points: (0, 360), (30, 0)
Step-by-step explanation:
Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).
The straight line joining the points (0, 360) and (30, 0) will be the graph.
What is the equation of a straight line? What do you mean by domain and range of a linear function?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.
We can write the equation of graph as -
y = - 12t + 360
At t = 0 -
y = 0 + 360
y = 360
and
at t = 30 minutes -
y = - 12 x 30 + 360
y = - 360 + 360
y = 0
The straight line joining the points (0, 360) and (30, 0) will be the graph.
Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
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