The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.
What is Area ?Area is the space occupied by any surface ,It is measure in square units of length.
It is given that
A photographer needs a frame for a 16 x 20 inch picture
total area is 340 sq. in
width of the frame =?
Let width of the frame be x
The frame is in the shape of a Rectangle
Side of the frame = ( 16+2x) and (20 +2x)
Area of a frame = Total Area - Area of the picture
Total Area = ( 16+2x) (20 +2x)
( 16+2x) (20 +2x) = 340
320 + 72x +4x² = 340
72x +4x²= 20
4x² + 72x = 20
The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.
To know more about Area
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A researcher is investigating the relationship between the length, in centimeters, and weight, in grams, of pineapples. The researcher will select a random sample of 15 pineapples from grocery stores in a region and construct a 95% confidence interval for the slope of the population regression line, where length is the explanatory variable and weight is the response variable. When computing a confidence interval for the slope of the population regression line, which of the following is not a condition that must be checked?
A. The true relationship between length and weight is linear.
B. The standard deviation for weight does not vary with length.
C. The values of weight are approximately normally distributed at each value of length.
D. The sum of the residuals is zero.
E. The observations are independent.
Answer:
D. The sum of the residuals is zero.
Step-by-step explanation:
The relation between length and weight of pineapples is observed. The observation should be independent and the values must be normally distributed in order to find the confidence interval for slope of population regression line.
1. Suppose the positive numbers a և b are such that a + b = 7.
A. b-1:
B. 1:
Գ. 0:
D. -1:
E. a
Can someone help finds the area of this figure
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Answer:
49 cm^2
Step-by-step explanation:
The shape is a 3 × 3 square on top of a 4 × 10 rectangle. The area of each rectangle is found by multiplying the dimensions.
Total Area = (3 cm)(3 cm) +(4 cm)(10 cm) = 9 cm^2 +40 cm^2
Total area = 49 cm^2
Martin is playing a probability game with his friend. He places 9 blue marbles, 8 red marbles, and 3 white marbles in a
bag. What is the probability that Martin picks out a red marble, places it in his pocket, and picks out a second red
marble? Enter your answer as a fraction in the box provided.
8/8 6/8 so your going to take 2 from 8/8 so that would be 6/8
What is the slope for the line that goes through the points?
(The answer should be a fraction (rise/run)
Answer: 2/1x
Step-by-step explanation:
you follow the graph from the y intercept to the next point
up 2 over 1
Answer:
2/1 or 2
Step-by-step explanation:
from point (0,2) to (1,4) it goes up 2 and to the left 1 so the rise is 2 and the run is 1
Since the enactment of a smoking ban in a particular city, the number of smokers has slowly declined. Statistics show that the number of smokers in this city has decreased for four consecutive months by 3%, 2%, 5%, and 2%. What was the overall percentage decrease in the number of smokers during this four month period? Round your answer to the nearest tenth of a percentage point.
Answer:
11.5%
Step-by-step explanation:
Let the number of smokers before ban = 100
Decrease in 1st month = 3% , of 100 = 3
Smokers after 1st month = 100 - 3 = 97
Decrease in 2nd month = 2%, of 97 = 1.94
Smokers after 2nd month = 97 - 1.94 = 95.06
Decrease in 3rd month = 5%, of 95.06 = 4.75
Smokers after 3rd month = 95.06 - 4.75 = 90.31
Decrease in 4th month = 2%, of 90.31 = 1.80
Smokers after 4th month = 90.31 - 1.80 = 88.51
Decrease in smokers after 4th month = (Decrease / old value) x 100[ (100 - 88.51) / 100 ] x 100 = (11.49 / 100) x 100
= 11.5%
Helpppp please
The athletics director at Peter's school has created a phone tree that is used to notify team players in the event a
game has to be canceled or rescheduled. The phone tree is initiated when the director calls two captains. During
the second stage of the phone tree, the captains each call two players. During the third stage of the phone tree,
these players each call two other players. The phone tree continues until all players have been notified. If there are
50 players on the teams, how many stages will it take to notify all of the players?
Answer:
Pppppppppppppppppppppppppp
the fifth term of an arithmetic sequence is 23 and the 12th is 72. determine the next three terms and general formula
Answer:
first three terms are -5 , 2, and 9
Step-by-step explanation:
term(n) = a + (n-1)d
term5 = a+ 4d = 23
term12 = a + 11d = 72
subtract them
7d = 49
d = 7
sub into a+4d = 23
a + 28 = 23
a = -5
WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answer: -2
Step-by-step explanation:
When x is 0, y is -2.
Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.
Answer:
Step-by-step explanation:
y= -1/4x
Please, I need help Try to explain if you can
Answer:
it the last choice
Step-by-step explanation:
you simply put the the x value and solove
i have no clue how to do this
Answer:
being e tnn 6t FCC CBC ni irdghyy42s nhi it a njugkinsa high by nigh
Please help 5 points
Answer:
below
Step-by-step explanation:
Table One-
0 -0
1- .5
2- 1
3 - 1.5
Table Two-
0 - 0
1 - .25
2 - .50
3 - .75
there are 4 roses for every 7 carnations in a bouqeuet. Mr rodriguez buys a bouqeuet with 12 roses in it. How many total flowers are in the bouqeuet Mr rodriguez bought?
Please explain
Answer:
Step-by-step explanation:
there is a 4 to 7 ratio in the first situation.
so if there is (4*3) the it would be (7*3) so it would be 21 carnations
this gives 12+21 for a total of 33 flowers.
the ratio is 4/7 so you could also go (4/7)(12) and then add that to the original 12 in the boqouet in order to get the same answer. Hope this helps!
6 1/8 liters of Lemonade and I use 1/4 for each cup how many cups can I fill?
Answer:
4
Step-by-step explanation:
Lol :b
Area of equilateral triangle with a perimeter of 96?
answer: 443.41
hope this helped :)
A right cylinder has a radius of 3 and a height of 12. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units
Answer:
[tex]A=72\pi\ units^2[/tex]
Step-by-step explanation:
Given that,
The radius of the cylinder, r = 3
Height of the cylinder, h = 12
We need to find the surface area of the cylinder. The formula for the surface area of a cylindrical object is given by :
[tex]A=2\pi rh\\\\=2\times \pi\times 3\times 12\\\\=72\pi\ units^2[/tex]
So, the surface area of the cylinder is equal to [tex]72\pi\ units^2[/tex].
Can someone please help. This is stressful
Answer:
132
Step-by-step explanation:
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
A bag of 33 tulip bulbs contains 11 red tulips, 12 yellow tulips, and 10 purple tulips. Suppose two tulip bulbs are randomly selected without replacement from the bag. What is the probability that two randomly selected tulip bulbs are both red
I need help with this if you get it right I will mark you
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Answer:
D 9/DF = 18/16
Step-by-step explanation:
Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.
For these isosceles triangles, the similarity statement could be written either of two ways:
ΔDEF ~ ΔABC or ΔDEF ~ ΔCBA
Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...
DF and AC (short sides)
DE and AB (long sides)
EF and BC (long sides)
For each (short side, long side) pair, we can write the proportion 4 ways:
DF/DE = AC/AB ⇒ DF/9 = 16/18DF/AC = DE/AB ⇒ DF/16 = 9/18DE/DF = AB/AC ⇒ 9/DF = 18/16 . . . . . matches choice DAC/DF = AB/DE ⇒ 16/DF = 18/9Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.
Please help
If m1 = 46°, what is m2?
A.
134°
B.
44°
C.
88°
D.
54°
Answer:
B. 44°
Step-by-step explanation:
That's it.
90° + 46° + 44° = 180°
Answer:
m2 = 44°.
Step-by-step explanation:
The sum of the measures of the angles of a triangle always equals 180°.
One of the angles is a right angle, so its measure is 90°.
Let n equal m2.
90+46+n=180
n=44
Therefore, m2 = 44°.
HIiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
hi the answer is 7.3
Step-by-step explanation:
hope it helps you have a good day
PLS HELPP
Find the surface area.
Answer:
To find the area of the rectangle, just multiply the two edges together. Area (bottom edge) = length times width = lw.
Step-by-step explanation:
l=12in
w=5in
h=3in
Area(all)=lw+lw+wh+wh+lh+lh
Area(all)=12×5+12×5+5×3+5×3+12×3+12×3
Area(all)=222 square inches
Find the surface of the triangular prism
17m 17m 15m 16m 10m
Which is equivalent to
?
V2
Ο ΑΜΣ
2
OB. 120
2
2x
O
C.
al
OD
x+V2
2
OE V2
The Graph of a function g is shown below. Find the following: g(10)
Answer: the graph is not shown, but I'll try to explain how hypothetically, you would be able to graph g(10). If you are given something like an image of the graph, find slope and y-intercept first. The y-intercept is the point (0, #), and is on the y-axis. After finding what g(x) = mx + b <- slope intercept form is, substitute 10 for x, then solve.
Step-by-step explanation:
DetermIne the inverse function of f(x) = 1/3 + 6
Please show work
Answer:
f(x)⁻¹ = 3x - 18
Step-by-step explanation:
I'm going to assume that 1/3 is the coefficient of the x.
f(x) = 1/3x + 6
y = 1/3x + 6
x = 1/3y + 6
x - 6 = 1/3y
3x - 18 = y
f(x)⁻¹ = 3x - 18
m
Which is equivalent to *_?
V2
OA.
xV2
2
2x
OB.
V2
Oc.
2x
12
OD.
D. **v2
2
O E V2x
work out the cost. 70cm of ribbon at £2.00 per metre.
I need help with this plsss
Answer:
8 boxes
Step-by-step explanation:
Surface area of the rectangular prism:
A=2(wl+hl+hw)
A = 2(5·4+7·4+7·5) = 166
The 166 represents the square ft of one box.
Take the total number of wallpaper she has, 1328 ft^2, and divide by 166 to find the number of boxes that she can cover.
[tex]\frac{1328}{166} = 8[/tex]
Hope that helps!
Answer:
Step-by-step explanation:
Firstly lets calculate the total surface area of the cuboid
Total surface area of cuboid (A1)
= 2( l*b+ b*h +l*h)
= 2( 7 * 5+ 5 * 4 + 7 * 4)
= 166 ft²
also given that
Total area of the wallpaper ( A2)= 1328 ft²
Now
Number of boxes that she can cover is
= A2 / A1
= 1328 / 166
= 8 BOXES.
hope it will help :)
⚠️⚠️⚠️⚠️ Help Mhanifa! XXXXTRA Points! Please I really need help on my math. No links please! Quality answer please! Answer all parts to the question. Thanks in advance. ⚠️⚠️⚠️⚠️
Answer:
36 unitsStep-by-step explanation:
Top base:
a = 6 unitsLeft leg:
b = 8 unitsBottom base:
d = 12 unitsRight leg:
c² = √6²+8² = √100c = 10 unitsPerimeter:
P = 6 + 8 + 10 + 12 = 36 units