Answer/Step-by-step explanation (ac > b² or b² < ac. )
A/c to question, we have to show:-
b² >ac in A.P ........ (1)
b² = ac in G.P .....(2)
b² < ac in H.P. ..... (3)
b = a+c/2 (A.P)
b = √ac ( G.P)
b = 2ac/a+c (H.P)
In A.P :
b² > ac = b² - ac
= (a+c/2)² - ac
= (a²+2ac+c²/4) - ac = a² + 2ac + c² - 4ac / 4
= a² - 2ac + c² / 4 = ( a - c ) ² / 4 > 0 Hence, b²>ac
In G.P:-
b = √ac
Hence, b² = ac
In H.P :- b² < ac = ac > b² = ac - b² = ac - ( 2ac / a+c)
= ac(a+c) - 2ac / a+c
= a²c + ac² - 2ac / a+c
= ac(2ac - 2) / a+c > 0
Hence, ac > b² or b² < ac.
4 shirts for every 3 pairs of pants
write as a rate
If ABD ~ HGE and AC and HF are angle
bisectors, find x. And If LJK ~ PQN, find x.
Answer:
Q1. 9.6, Q2. 33Step-by-step explanation:
Corresponding parts have same ratio:
Q1
x/24 = 14/35x = 24*2/5x = 9.6Q2
x/42.9 = 30/39x/42.9 = 10/13x = 42.9*10/13x = 33Answer:
Step-by-step explanation:
1. Based on data collected over several sessions, a statistically minded trainer of office typists modeled the linzoom in
between the number of hours of training a typist receives and the typist's speed (in words per minute) with the equauon
speed = 10.3 +5.4(hour). After some training, one of the typists was told that the speed he attained had a residual of 4.2
words per minute. How should he interpret this?
Choose the correct answer below.
1
A. He cannot interpret his residual without also knowing the correlation.
B. He cannot interpret his residual without also knowing the size of other people's residuals.
C. He types slower than the model predicted, given the amount of time he spent training.
D. He types faster than the model predicted, given the amount of time he spent training.
Answer:
Statement D is correct.
Step-by-step explanation:
Solution:
Data Given:
Linear Regression Relationship = Speed = 10.3 + 5.4 (hour)
Linear Regression Relationship = y = mx + c
Here,
m = slope = 5.4
c = 10.3 = y - intercept
The correct Answer is D)
Because:
As, the residual value is positive, it means the typist attained faster speed than the model predicted. As we know, residuals is the result of difference between predicted values of the model and data values. On the contrary, if residual would be negative then we would say that typist speed is slower than the model predicted.
Hence, Statement D is correct.
Find the ratio of lengths 3 meters to 6 cm
Step-by-step explanation:
Convert metre to centimetre
Recall: 1m = 100cm
That means,
3m = 3 * 100cm = 300cm
Now we compare them since they have the same unit.
300cm : 6cm
50 : 1
Answer = 50 : 1
Equations and Slope
Which shows a box-and-whisker plot for the following data?
57, 38, 27, 40, 48, 43, 37, 33, 33, 34, 38, 44, 37, 35, 52
HELP PLS
Answer:
D
Step-by-step explanation:
Find the min, Q1, median, Q3, and Max of the data given.
✔️Arrange the data in an ordered manner:
27, 33, 33, 34, 35, 37, 37, 38, 38, 40, 43, 44, 48, 52, 57
✔️Min = 27
✔️Q1 = the 4th data set = 34
✔️Median = the 8th data set = 38
✔️Q3 = 12th data set = 44
✔️Max = 57
Therefore, the box plot that has all these values represented corrected is the box plot in the last option (D).
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.
Given: 1) weight of Dylan= 45 pounds
2) weight of Alan= 3 pounds more than twice the weight of Dylan
3)weight of Bruce = 12 pounds less than three times the weight of
Dylan.
To Find: How much more does Bruce weighs than Alan .
Solution:
weight of Dylan= 45 pounds
weight of Alan= 3 pounds more than twice the weight of Dylan
= 3 + ( 2×45) pounds
= (3+ 90) pounds
= 93 pounds
weight of Bruce= 12 pounds less than three times the weight of Dylan
= (3× 45) - 12 pounds
= (135) - 12 pounds
= 123 pounds
therefore, the amount by which Bruce weighs more than Alan will be given by:
weight of Bruce - weight of Alan
= 123 pounds - 93 pounds
= 30 pounds
Hence, Bruce weighs 30 pounds more than Alan.
Write a numerical expression for the word expression. 100 decreased by 77
Answer:
100-77
Step-by-step explanation:
Write an equation in slope intercept form for the line with slope -2/3 and y intercept 8
Answer:
y=-2/3x+8
Step-by-step explanation:
Describe the solution set of each of the following quadratic inequality or not
Answer:
See below
All the inequalities can be solved by making a table, but once they are simple factored quadratic expressions, we already know what interval it will have.
Step-by-step explanation:
1)
[tex]x^2+9x+14>0[/tex]
Factoring the expression, we have
[tex](x+2)(x+7)>0[/tex]
Considering that
[tex](x+2)(x+7)=0[/tex]
for [tex]x = -2[/tex] and [tex]x=-7[/tex] you can see that for
[tex](x+2)(x+7)>0[/tex]
[tex]x \not\in (-7, -2)[/tex]
Therefore,
[tex]S = \{x\in\mathbb{R} : x<-7 \text{ or } x>-2 \}[/tex]
[tex]S = (-\infty,-7)\cup (-2,\infty)[/tex]
2)
[tex]x^2-10x+16<0[/tex]
You can factor it again.
[tex](x-2)(x-8)<0[/tex]
You can make the table to solve all the inequalities, but once we have the expression [tex]< 0[/tex], we know that
[tex]2<x<8[/tex], therefore,
[tex]S = (2, 8)[/tex]
3)
[tex]2x^2+11x+12<0[/tex]
Factoring we have
[tex](2x+3)(x+4)<0[/tex]
Find the solutions for
[tex](2x+3)(x+4)=0[/tex]
And we know that
[tex]-4<x<-\dfrac{3}{2}[/tex]
[tex]S = \left(-4,-\dfrac{3}{2}\right)[/tex]
One-eighth of a number is -4,200.
What is the number?
Answer:
-33,600.
Step-by-step explanation:
file:///var/mobile/Library/SMS/Attachments/c9/09/EDD6F50C-2A7A-4356-A142-874DDEA82BE9/63296923268__4EF12089-C66E-406A-B933-ADD5A94C0876.heic
Drag the integers to substitute for the variables in the
given expression, then simplify.
5(r - s)
r= 9 s= 1
5(
If r= 9 and s = 1, then 5(r-S) =
Answer/Step-by-step explanation:
Given:
5(r - s)
r = 9
s = 1
Required:
Evaluate and simplify
Solution:
5(r - s)
Plug in the values of r and s
5(9 - 1)
= 5(8)
= 40
is the line through points p(-8,-10) and q(-5, -12) perpendicular to the lines through points r(9, -6) and s(17, -5)? Explain.
Answer: Consider this option:
1. rule: if the scalar product PQ*RS=0, then PQ⊥RS.
2. PQ=(3;-2), RS=(8;1).
3. The scalar product of PQ*RS=3*8-1*2=22≠0. The line included PQ is not perpendicular to the line included RS.
Step-by-step explanation:
HELP ME PLEASE 30 POINTS
The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region.
2 dot plots with number lines going from 2 to 32 in increments of 2. A dot plot titled Highlands. There are 2 dots above 2, 3 above 4, 2 above 6, 3 above 8, 4 above 10, 3 above 12, 4 above 14, 5 above 16, 5 above 18, 4 above 20, 2 above 22, 1 above 24, 2 above 26, 2 above 28, 1 above 30 and 1 above 32. A dot plot titled Lowlands. There are 3 dots above 2, 5 above 4, 3 above 6, 3 above 8, 5 above 10, 7 above 12, 6 above 14, 4 above 16, 2 above 18, 1 above 20, 2 above 22, 1 above 24, 0 above 26, 2 above 28, and 0 above 30 and 32.
Which statement comparing the shapes of the dot plots is true?
Both the Highlands and the Lowlands data points are evenly distributed around the center.
Both the Highlands and the Lowlands data points are clustered toward the left of the plot.
The Highlands data points are evenly distributed around the center, while the Lowlands data points are clustered toward the left of the plot.
The Highlands data points are clustered toward the left of the plot, while the Lowlands data points are evenly distributed.
Answer C
On the graph, it shows how the Highlands has more dots to the middle so it is clustered there in that are.
If you look at the Lowlands, you can see that the dots are more on the left.
Hope this helps!!
Answer:
the answer is c because of what the text says
Susan subscribed to a video game rental service. She pays the same amount for each video game she rents plus a monthly fee to subscribe to the service. The cost for different numbers of
video game rentals are shown in the graph.
What is the monthly fee and the cost per video game that stsan pays
use the rental service?
A. $1.25 monthly fee and
$ 6.00 per video game
B. $1.25 monthly fee and $7.00 per video game
C. $6.00 monthly fee and $1.25 per video game
D. $6.00 monthly fee and $7.00 per video game
Answer:
C-$6.00 monthly fee and $1.25 per video game
Step-by-step explanation:
The monthly fee and the cost per video game that Susan pays
use the rental service is C. $6.00 monthly fee and $1.25 per video game.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
From the graph the two pair of points are (0, 6) and (8, 16).
So, slope(m) = (16 - 6)/(8 - 0).
slope(m) = 10/8.
slope(m) = 5/4.
slope(m) = 1.25.
So, The monthly subscription fee is $1.25.
Now, Cost of one video game can be obtained by equation y = mx + b.
6 = 1.25(0) + b.
b = 6, so the cost of per video game is $6.
learn more about slopes here :
https://brainly.com/question/3605446
#SPJ6
Solve the following equation algebraically
3x2 = 12
a. +3
b. +2
c. +3.5
d. +1.5
Answer:
B. +2
Step-by-step explanation:
I calculated logically
Devon earns a base salary of $600.00 per month, plus a 4% commission on his sales. Last month he brought in $15,000.00 in sales. Write an expression to represent his total compensation and calculate how much his total compensation was.
.4(600+s); $6,240
600+.04s; $1200
.04(600+s); $624
600+.4s; $6,600
Answer:
Total compensation = 600 + 0.04 * s and a total last month of $1200
(which agrees with the second answer shown in the provided list)
Step-by-step explanation:
Total compensation comes from the addition of base salary ($600) plus 4% (0.04) of the sales (s). That means:
Total compensation = 600 + 0.04 * s
and since last month he brought $15000 in sales, he got from sales:
0.04 * 15000 = $600
which added to the base salary gives:
$600 + $600 = $1200
I GIVEEEDDE BRAINLILSTTT
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
To find the scale factor of a dilation, we first find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the purple shape. The top edge of the black shape measures 15 units while the top edge of the purple shape measures 3 units
Now, we divide the length taken from the figure by the length taken from the original shape. In this case, we divide the length of 3 by the length of 15.
3/15=[tex]\frac{1}{5}[/tex]
I hope this helps!
f=2(3-5g) make g the subject
Answer:
The function 'f' in terms of 'g'
[tex]g = \frac{3}{5}-\frac{f}{10}[/tex]
Step-by-step explanation:
Explanation:-
Given function f = 2 (3-5g)
f = 6 - 10 g
10g = 6 - f
⇒ [tex]g = \frac{6-f}{10}[/tex]
[tex]g = \frac{6}{10}-\frac{f}{10}[/tex]
[tex]g = \frac{3}{5}-\frac{f}{10}[/tex]
A gardener uses 4 plots of land to plant 5 fruit trees each. On each of the fruit trees, there are 3
pieces of fruit. If the gardener picks 17 fruits in total, how many pieces of fruit are there left on the
land?
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box.
Answer:
y= -1/3x + -5
Step-by-step explanation:
y= mx + b
b= y-intercept, which is -5. (x-value where the lines goes through the y-axis)
To find the slope, you take the
Change of y/ Change of x
Take two points (I did, (0,-5) and (3, -6) ). (x,y)
-6 - (-5)= -1
3 - 0= 3
-1/3= m
A beverage company surveyed 450 adults to determine the demand for summer drinks.
How many people preferred drinking water?
WHO EVER ANSWERS GETS MARK AS BRAINLIEST
Answer:
174 people preferred drinking water.
Step-by-step explanation:
Given that:
A total of 450 males and females were surveyed.
203 were males.
Number of females = 450 - 203 = 247 females
247 females were surveyed.
Now, we will find the number of females who prefer water.
Let,
x be that number.
Total number of females = Soda + Iced tea + Lemonade + Water
247 = 28 + 44 + 67 + x
247 = 139 + x
247-139 = x
x = 108
Number of people who prefer water = 108 + 66 = 174
Hence,
174 people preferred drinking water.
Write the improper fraction as a mixed number in simplest form.
25/3 =
Can someone help me rq
Answer: The answer is 8 1/3
I hope this helps
Step-by-step explanation:
Answer:
the answer for your question is 8 1/3
The perimeter of a polygon is 96 ft.
Write and solve an equation to find “m”.
Answer:
m = 12
Step-by-step explanation:
Total perimeter = 3m + 3m + m + m = 96
so, 8m = 96
then m = 12
What is the measure of B?
Answer: ∠B = 82°
Step-by-step explanation:
To find the measure of B, you have to find the measure of A.
m∠143° + m∠A = 180° because they are a linear pair
m∠A + 143 = 180
Subtract both sides by 143
m∠A = 37
Since you know the measure of angle A, you can find angle B
Angle A, B, and C should add up to 180° as triangles' angles sum up to 180°.
∠B + ∠A + ∠C = 180°
Substitute
∠B + 37 + 61 = 180
∠B + 98 = 180
Subtract 98 from both sides
∠B = 82°
Solve the absolute value equation, if possible. If there is no solution, explain why.
| 5x + 10| = -7
Thank you!
Answer:
the equation | 5x + 10| = -7 has no solution for x ∈ R.
Step-by-step explanation:
Given the absolute value equation
| 5x + 10| = -7
We know that absolute value is always positive.Reason:
The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.
Conclusion:
Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.
Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.
Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 6)
f(x) =?
Answer:
[tex]f(x)=-7(x-3)^2+1[/tex]
Step-by-step explanation:
Vertex form of a quadratic is given by:
[tex]f(x)=a(x-h)^2+k[/tex]
Where (h, k) is the vertex and a is the leading coefficient.
We are given that the vertex is (3, 1). Hence, h = 3 and k = 1. By substitution:
[tex]f(x)=a(x-3)^2+1[/tex]
We are also given a point (2, -6). This means that when x = 2, f(x) = -6. Hence:
[tex]-6=a((2)-3)^2+1[/tex]
Solve for a. Subtract:
[tex]-6=a(-1)^2+1[/tex]
Simplify:
[tex]-6=a+1[/tex]
Therefore:
[tex]a=-7[/tex]
Hence, our quadratic is:
[tex]f(x) = -7 (x-3)^2 + 1[/tex]
Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, consecutive angles are supplementary, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
No (the attachment show the evidence)
Step-by-step explanation:
Can someone help me on this
Answer:
Step-by-step explanation:
I don’t get it too
Pls Help..... 50 points and brainliest if you answer correctly!
Answer:
5
Step-by-step explanation:
The left side is equal to:
x/(2.52-2.02) = x/0.5 = 2x
Let's simplify the numerator of the right side.
9*(31/20 - 1.05) = 9*(0.5) = 9/2
The denominator is 43/40 - 35/8 /7 = 43/40 - 5/8 = 43/40 - 25/40 = 18/40 = 9/20.
So 2x = (9/2)/(9/20) = 10
x = 5
Answer:
x=-2835/62 or (in decimal form) 45.726
Step-by-step explanation:
Hope this helps!
Brain-List?