Select the correct answer. What are the solutions of the quadratic equation below? 4x2 − 30x + 45 = 0.
Answers
Answer:
Below
Step-by-step explanation:
Easiest is probably to use the Quadratic Formula with
a=4
b = - 30
c= 45
to find x = 15/4 ± 3 sqrt(5) / 4
OR:
x=5.42705 x=2.07295
Answer:
5.42 and 2.07
Step-by-step explanation:
When ax²+bx+c =0
Quadratic formula is x= -b ± √(b²-4ac)
2a
In 4x²− 30x + 45 = 0
a=4, b= -30, c= 45
x=30± √(900-720) = 30±√180 = 30±13.42 =5.42 and 2.07
8 8 8
sorry, if it is wrong
Related Questions
If one case of conductor ties weighs 22.15 pounds, how much will 3½ cases of ties weigh?
Answers
Let x represent one case of conductor ties
If one case of conductor ties weighs 22.15 pounds, i.e
\(x=22.15\text{pounds}\)For 3 1/2 cases of ties i.e
\(3\frac{1}{2}\times x=\frac{7}{2}\times x=\frac{7x}{2}\)The weight of will be,
\(\frac{7x}{2}=\frac{7\times22.15}{2}=\frac{155.05}{2}=77.525\text{pounds}\)Hence, it weighs 77.525pounds
Find the volume of a rectangular pyramid if the height is 13 m. and the base sides are 12m. and 15 m.
Answers
Answer:
it should be 780 m cubed.
Step-by-step explanation:
the formula is V= 1/3 (l × w × h) if you want to check.
Complete the missing parts of the
table for the following function.
y = (3)*
X -2 -1 0 1 2 3
y| [?] 2 [1
2
1
글을
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1
1
![Complete the missing parts of thetable for the following function.y = (3)*X -2 -1 0 1 2 3y| [?] 2 [121[]11](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/BfFaA0JXOK09YH077Ph4fQc966WYVqG0.png)
Answers
Answer:
y=1
Step-by-step explanation:
the missing parts of the table
The ending inventory of finished goods has a total cost of $11,600 and consists of 1,000 units. If the overhead applied to these goods is $3,894, and the overhead rate is 66% of direct labor, how much direct materials cost was incurred in producing these units?
Answers
AnsI had this question
Step-by-step explanation:
POSSIBLE PC
What is the value of |-x+ 5y] + vay
when x = 12 and y = 3?
A. 3
C. 16
B. 9
D. 33
Answers
Answer:
A. 3
Step-by-step explanation:
\( - x + 5y \\ - 12 + 5(3) \\ - 12 + 15 \\ = 3 \\ \)
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
Answers
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.
Could use some help with this math problem. Solve: 4y + 3 = 15.
Answers
Answer:
y = 3
Step-by-step explanation:
4y + 3 = 15 First subtract 3 from each side.
4y + 3 - 3 = 15 - 3 The 3 on the left will cancel.
4y = 15 - 3
4y = 12 Divide each side by 4
4y/4 = 12/4 The 4 on the left will cancel because 4/4 = 1
y = 12/4
y = 3
The semi annual compound interest of a sum of money in 1 year and 2years are Rs400 and Rs441 respectively.Find the annual compound interest for 2years
Answers
Answer:
Step-by-step explanation
Correct option is A)
C.I. for the third year = Rs. 1,452.
C.I. for the second year = Rs. 1,320
∴ S.I on Rs. 1,320 for one year = Rs. 1,452− Rs. 1,320= Rs. 132.
Rate of interest =
1,320
132×100
=10%.
Let the original money be Rs. P.
Amount after 2 year − amount after one year =C.I. for second year.
P(1+
100
10
)
2
−P(1+
100
10
)=1,320
P[(
100
110
)
2
−
100
110
]=1,320
⇒P[(
10
11
)
2
−
10
11
]=1,320⇒P(
100
121
−
10
11
)= Rs. 1,320
⇒P×
100
11
=Rs.1,320⇒P=
11
1,320×100
= Rs. 12,000
∴ Rate of interest =10%
and Original sum of money = Rs. 12,000
HELP MEEEE PLEASEEEE, 20 POINTS!!!!
Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent.
You draw one card at random from a shuffled deck of 52 playing cards. The deck has four 13−card suits (diamonds, hearts, clubs, spades).
The card is a heart or a spade.
The probability expressed as a fraction is ___
The probability expressed as a decimal is ___
The probability expressed as a percent is ___
Answers
Answer:
Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing ...
-by-step explanation:
62.5% of a number is 25. What is half of the same number.
Answers
let the number be b
62.5/100 x b = 25
0.625 x b = 25
b =25/0.625
b=40
half of b= 40/2 = 20
find x please will give brainliest!
Answers
The value of the angle x is 120 degrees
How to determine the value of the variableIt is important to note the following;
The sum of angles in a triangle is 180 degreesAngles on a straight line is 180 degreesAlternate angles are said to be equal or congruentFrom the information given in the diagram, we have that;
The variable x is laying on a straight line with one end of the triangle.
Also, angle 60 is alternate to the same angle on a straight line with x
So, we have that;
60 degrees + x degrees = 180 degrees
Solve mathematically as;
60 + x = 180
collect like terms
x = 180 - 60
Subtract the values
x = 120 degrees
Hence, the value is 120 degrees
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Solve 5(3C - 2) - 7c = 40 - 20
Answers
Answer:
Step-by-step explanation:
Answer:
C = 2 +
7c
15
Step-by-step explanation:
g Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 146 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.43
Answers
Answer:
0.0022 = 0.22% probability that the sample proportion is greater than than 0.43
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.
This means that \(p = 0.32\)
Mean and standard deviation:
Sample of 146 means that \(n = 146\)
\(\mu = p = 0.32\)
\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386\)
What is the probability that the sample proportion is greater than than 0.43?
This is 1 subtracted by the pvalue of Z when X = 0.43. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{0.43 - 0.32}{0.0386}\)
\(Z = 2.85\)
\(Z = 2.85\) has a pvalue of 0.9978
1 - 0.9978 = 0.0022
0.0022 = 0.22% probability that the sample proportion is greater than than 0.43
The polygons are similar. Find the value of x.
Answers
Answer:
x = 19.5
Step-by-step explanation:
Given that Polygon HIJK is similar to Polygon PQRS, their corresponding lengths are congruent, also, the the ratio of the sides of HIJK to the corresponding sides of PQRS would be the same.
Thus:
\( \frac{HI}{PQ} = \frac{IJ}{QR} \)
HI = 15
PQ = 5
IJ = x
QR = 6.5
Plug in the values
\( \frac{15}{5} = \frac{x}{6.5} \)
\( 3 = \frac{x}{6.5} \)
Multiply both sides by 6.5
\( 3*6.5 = x \)
\( 19.5 = x \)
x = 19.5
I will give the brainiest
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more
per pound than the almonds. She pays a total of $48. Select all the correct statements about
this situation.
A.One pound of pistachios plus 1 pound of almonds cost $20.
B.Reducing the number of pounds of almonds by one results in a total cost of $40.
C.The pistachios cost twice as much per pound as the almonds.
D.The costa, in dollars of 1 pound of almonds is modeled as 2(a - 4) + 3a = 48.
E.
The cost p, in dollars, of 1 pound of pistachios is modeled as 2p + 3(p - 4) = 48.
Answers
Answer:
A;C;E
Step-by-step explanation:
Let cost of almond per pound be X
Cost of 3 pounds of almonds=3X
cost of pistachios per pound = X+4
Cost of 2 pounds of pistachios=2X+8
Total cost=5X+8=48
5X+8=48
5X=40
X=8
cost of one pound almond is $8
cost of one pound pistachios is $12
Please mark it brainly
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X
y
X
y
X
y
X
y
0
2
0
0
-1
0
1
0
5
2
113
1
2
2
8
4
WIN
3
3
4
11
2.5 -2.5-7.5 -12.5
6
W/W
5
6
Select all table’s that represent proportional relationship between x and y
Answers
All tables that represent proportional relationship between x and y are:
B. table B.
E. table E.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the x-variable.x represents the y-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)
Constant of proportionality, k = 1.
Therefore, the required linear equation is given by;
y = kx
y = x
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Last month, sales were £180 000.
This month, sales reached £196 200.
What percentage increase is this?
Answers
The percentage of increase in sales from last month to this month is 9%.
Given,
Sales for last month = £180 000.
Sales for this month = £196 200.
To calculate the percentage increase, we must first find the difference in sales between the two months:-
Difference between the two months = £180,000 - £196,200 = £16,200
Percentage of this difference = (16,200 ÷ 180,000) * 100 = 9
Thus, the percentage of increase is 9% from the last month to this month.
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HELPPPP!!! On average, a gym claims that 65% of its members renew their memberships each year. If the gym has 440 members, predict how many will renew their members.
Answers
Answer:
260 people will renew their memberships
Step-by-step explanation:
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Answers
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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The table here shows the distance between the Sun and four of the planets in our Solar System. What is the distance between the Sun and the nearest planet that is listed?
A. 36 million mi.
B. 484 million mi.
C. 885 million mi.
D. 1780 million mi.
Answers
2. Find the equation of the perpendicular bisector of line PQ where the co-ordinates of P and Q are P (-2, 8) and Q (4,7)
Answers
Answer:
2y - 12x = 3
Step-by-step explanation:
gradient of line PQ= (7-8)/ 4+2
-1/6
gradient of perpendicular bisector of line PQ=
-1 ÷ -1/6
-1× -6
6
coordinates of the midpoint of line PQ
(-2+4)/2, (8+7)/2
(1, 15/2)
the perpendicular bisector passes through the midpoint of line PQ
Equation of the perpendicular bisector
y - 15/2 = 6(x - 1)
multiply through by 2
2y - 15 = 12(x - 1)
2y - 15 = 12x - 12
2y - 12x = 3
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
Answers
The length of side AB in right angled triangle ABC will be 48 cm.
What is a right angled triangle?Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.
Given,
∠B= 90°, AC = 96 cm, ∠C = 30°
Now, we know, Trignometric ratio sin θ in triangle can be given by-:
sin θ = \(\frac{perpendicular}{hypotenuse}\)
From given figure,
Perpendicular= AB= ?
and Hypotenuse= AC = 96
and θ= 30°
Hence,
sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)
\(\frac{1}{2} = \frac{AB}{96}\) (∵ sin 30°= 1/2)
\(AB=\frac{96}{2}\)
\(AB= 48 cm\)
Thus, AB= 48 cm
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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?
25% of Santa's 9 reindeer were playing reindeer games. How many of Santa's reindeer were NOT playing reindeer
games?
Answers
Answer:
75%, or 7
Step-by-step explanation:
100-25=75
75% of 9 is 6.75 (because 9x0.75)
so we can round to 7, unless there's a decapitated reindeer involved
Answer: 6.75
Step-by-step explanation:
for this math problem we need to find the percentage and subtract that from the original number ( 9 ) . . .
what is 25% if 9 ? 2.25
what is 9 - 2.25 ? 6.75
Question 8 - 10 PointsNov 25, 1:23:41 PMWhat is an equation of the line that passes through the point (-5, -3) and isparallel to the line 3x + 5y = 15?Answer:Submit AnswerPrivacy PolicyTerms of Service
Answers
we write the equation of the form y = mx +b
\(\begin{gathered} 3x+5y=15 \\ 5y=-3x+15 \\ \frac{5y}{5}=-\frac{3x}{5}+\frac{15}{5} \\ y=-\frac{3}{5}x+3 \end{gathered}\)therefore m = -3/5 and b = 3
the slope of the parallel line is the same
then:
\(\begin{gathered} y=mx+b \\ -3=-\frac{3}{5}(-5)+b \\ -3=3+b \\ -3-3=3+b-3 \\ b=-6 \end{gathered}\)the equation of thr line is
\(y=-\frac{3}{5}x-6\)
i need helppppppppp
Answers
Answer:
C.
Step-by-step explanation:
I checked it and it’s right I hope this helps!!
Hope this helps
Give the standard form of the equation of the circle with endpoints of a diameter at
(-6, 5) and(-2, —3).
Answers
Answer:
Hello!
I might be able to help you!
Step-by-step explanation:
(x−h)2+(y−k)2=r2 ( x - h ) 2 + ( y - k ) 2 = r 2 is the equation form for a circle with r radius and (h,k) as the center point. In this case, r=√26 and the center point is (2,7) . The equation for the circle is (x−(2))2+(y−(7))2=(√26)2 ( x - ( 2 ) ) 2 + ( y - ( 7 ) ) 2 = ( 26 ) 2 . We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms. The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r". This form of the equation is helpful, since you can easily find the center and the radius. Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation.
Stay safe and God bless you all!
Is 1/4 equal to 1/12
Answers
Answer: no
Step-by-step explanation:
First solution: 1/4 and 1/12 can be converted to decimals; 1/4 would be .25 and 1/12 would be .0833333
0.25 > 0.83333333
Second (simpler) solution: the larger the denominator, the less the numerator is worth
7 of 13-(18÷6+3)÷(9×3-25)
Answers
Answer:
3.
The moltiplications and divisions have priority over the sums and subtractions
Step-by-step explanation:
\( \:(3 + 3) \div (27 - 25)\)
\( \:(6 \div 2) = 3\)
h=6q-2u q=3 and u=-5 what is the value of h
Answers
The value of h in the equation h = 6q - 2u , when q = 3 and u = -5 is h = 28 .
In the question ,
it is given that ,
the equation is h = 6q - 2u ,
we have to find the value of h , when q = 3 and u = -5 .
Substituting the value of q = 3 and u = -5 in the equation ,
we get,
h = 6q - 2u
h = 6(3) - 2(-5) ....because 6(3) = 18 and -2(-5) = 10
h = 18 + 10
Simplifying the above equation further ,
we get ,
h = 28
Therefore , The value of h in the equation h = 6q - 2u , when q = 3 and u = -5 is h = 28 .
The given question is incomplete , the complete question is
Find the value of h in the equation h = 6q - 2u , when q = 3 and u = -5 ?
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solve for x.
Round to the nearest hundredth
Answers
Answer:
30.8088
Step-by-step explanation:
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