To answer this question, we need to be careful with the variables in the graph. We have that:
• The variable, x, represents the number of songs downloaded, and
,• The variable, y, represents the total cost, in dollars, of the downloads.
Therefore, for the point (4, 12), we have that the graph represents x = 4, and y = 12, and it means that there were 4 downloads and a total of $12 for the 4 downloads.
Thus, the correct answer is option D: 4 downloads that cost a total of $12.
PLZ HELP ME NOW.....
A- solve bracket first so
3/4 + 2/9 +5/12 then multiply by 3.6 = 5
do the same with the rest and u get
A=5
B=1
C=15
D=3
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The polynomial
p(x)=24x3−46x2+29x−6
has three real roots. One of them is x=2/3 Find the others and list them in increasing sequence:
The other roots of the cubic equation p(x) = 24·x³ - 46·x³ + 29·x - 6 are;
x = 1/2
x = 3/4
What is a cubic equation in mathematics?A cubic equation is an equation that has 3 as the highest index.
The specified polynomial in the question is presented as follows;
P(x) = 24·x³ - 46·x² + 29·x - 6
The solution of the equation is; x = (2/3)
Therefore, (x - 2/3) is a factor of the equation and we get;
(24·x³ - 46·x² + 29·x - 6) ÷ (x - 2/3) has a remainder of 0
Dividing the above expression using long division, we get;
24·x² - 30·x + 9
(x - 2/3) \({}\) |(24·x³ - 46·x² + 29·x - 6)
\({}\) 24·x³ - 16·x² + 29·x - 6
\({}\) -30·x²
\({}\) -30·x² + 20·x
\({}\) 9·x - 6
\({}\) 9·x - 6
The other real roots of the specified equation can be found as follows;
The equation for the roots is; P(x) = 24·x³ - 46·x² + 29·x - 6 = 0
From the above long division, therefore;
24·x³ - 46·x² + 29·x - 6 = (24·x² - 30·x + 9) × (x - 2/3) = 0
Which indicates; (24·x² - 30·x + 9) = 0 or (x - 2/3) = 0
The other solution are;
24·x³ - 30·x + 9 = 0
3·(·8·x² - 10·x + 3) = 0
8·x² - 10·x + 3 = 0
Solutions for the above equation in the form; a·x² + b·x + c = 0 can be obtained using the quadratic formula as follows;
The quadratic formula; x = \(\dfrac{-b\pm\sqrt{b^2 - 4\cdot a\cdot c} }{2\cdot a}\)
By comparing the equation, 8·x² - 10·x + 3 = 0 to the equation, a·x² + b·x + c = 0, we get;
a = 8, b = -10, and c = 3
Therefore;
x = (10 ± √((-10)² - 4 × 8 × 3))/(2 × 8)
((-10)² - 4 × 8 ×3) = 2
Therefore;
x = (10 ± √((-10)² - 4 × 8 × 3))/(2 × 8) = (10 ± 2)/(16)
x = 3/4, and x = 1/2
Therefore, the other other roots in increasing sequence are;
x = 1/2 and x = 3/4
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On a map, the scale shown is 1 inch : 5 miles. If
a wildlife refuge is 50 square miles, what is the
area of the refuge on the map?
Use the proportion to solve for x.
1 in. 2
25 mi2
x in. ²
50 mi²
Cross
multiplication
can help!
=
The area of the wildlife refuge is [?] square
inches on the map.
Enter
Answer:
Step-by-step explanation:
6
Select the expressions that have a
quotient of 9.
1.35 ÷ 1.5
1.35 0.15
13.5 ÷ 1.5
13.5+ 0.15
Answer:
1.35/0.15
13.5/1.5
Step-by-step explanation:
We know the first and last ones are incorrect. The last is incorrect because it uses addition when the question is asking for the quotient. The first is incorrect because 1.35/1.5 = 0.9. The quotient (or answer) for the rest all equal 9.
1.35/0.15 = 9
13.5/1.5 = 9
Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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How do you factor and simplify 4x^2+ 25
Answer:
(4x + 5)(4x + 5)
Step-by-step explanation:
4x * 4x = 4x^2, and 5 * 5 = 25. Thus being 4x^2 + 25
find two whole numbers that are closest to v42. explain your reasoning
Answer:
The numbers are 6 and 7.
Step-by-step explanation:
4² = 16
5² = 25
6² = 36
7² = 49
√36 = 6
√42 = ?
√49 = 7
The numbers are 6 and 7.
100 people in a sports centre are surveyed. 36 regularly use the fitness suite and the swimming pool. 57 use the fitness suite. 49 use the swimming pool. Complete the Venn diagram
A submarine is at 200 meters below sea level to begin its mission. Then, it dives to a depth of 4 times its initial depth.Where is the submarine now located
Answer:
1000 meters below sea level
Step-by-step explanation:
Since the submarine dives at a depth of 4 times 200 meters, then it dives 800 meters.
Sso the submarine now is at 200 meters + 800 meters =1000 meters below sea level.
What is the least common denominator of 3/10 and 1/2
help asp
Answer:
the least common denomonater is 10
Step-by-step explanation:
3/10 = 3/10 × 1/1 = 3/10
1/2 = 1/2 × 5/5 = 5/10
Please give me brainliest! hope this helps god bless:)
The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.
Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)
1 9 8.1 7 8 7.6
2 7 6 8 11 8
3 11 3.6 9 10 8
4 12 4 10 12 6
5 8 5 11 6 8.6
6 7 10 12 6 8
Required:
a. Determine the regression equation.
b. Estimate the selling price of a 10-year-old car (in $000).
c. Interpret the regression equation (in dollars).
Answer:
ŷ = -0.47876X + 11.17724
$6.4
Step-by-step explanation:
Given the data :
Car Age (years) Selling Price ($000) Car Age (years) Selling Price ($000)
1 9 8.1 7 8 7.6
2 7 6 8 11 8
3 11 3.6 9 10 8
4 12 4 10 12 6
5 8 5 11 6 8.6
6 7 10 12 6 8
The estimated regression equation using a linear regression calculator is :
y = -0.47876X + 11.17724
With - 0.47876 being the slope ; and 11.17724 being the intercept
y = predicted variable (price of car) ; x = predictor variable (Age of car)
Selling price of a 10 year old car : x = 10
ŷ = -0.47876(10) + 11.17724
Price = 6.38964
About 6.4(000) dollars ($6,400)
According to the regression equation : The starting price of cars is about $11.18 (intercept) with the proved of cars declining by a value of $0.479(negative slope value) each year.
F(x) = 3x + 2
What is f(5)
Step-by-step explanation:
to find f(5) in f(x) , just put in '5' where 'x' is in the equation
f(5) = 3 (5) + 2 = 17
Answer:
f(5) = 17
Step-by-step explanation:
Let's evaluate the function for f(5)
\(\rm{f(x)=3x+2}\)Insert 5 everywhere x appears:
\(\rm{f(5)=3(5)+2}\)\(\rm{f(5)=15+2}\)\(\rm{f(5)=17}\)Therefore f(5) = 17
express the measure in standard notation 5 gal 6qt 48 oz
Answer: 880 oz
Step-by-step explanation:
We want to write it in the same units, let's use oz as our common unit.
1 gal = 128 oz
then 5 gal = 5*128 oz = 640 oz
1 qt = 32 oz
then 6 qt = 6*32 oz = 192 oz
Then we have:
640 oz + 192 oz + 48 oz = 880 oz
The value of standard notation is,
⇒ 880 oz
We have to given that,
Measures are,
⇒ 5 gal 6qt 48 oz
We have to change it into standard notation as,
We want to write it in the same units, let's use oz as our common unit.
1 gal = 128 oz
then 5 gal = 5 x 128 oz = 640 oz
1 qt = 32 oz
then 6 qt = 6 x 32 oz = 192 oz
Then we have:
⇒ 5 gal 6qt 48 oz
⇒ 640 oz + 192 oz + 48 oz
⇒ 880 oz
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help me plss to find the area
Answer:
A=88 square units
Step-by-step explanation:
A=B x H
A= 11 x 8
A=88 square units
A manufacturing company has an old machine which produces 25 components per hour. The company has recently installed a new machine which produces 35 components per hour. Yesterday, both machines were in operation for different periods of time. If 430 components were produced when the total number of hours of operation was 14 hours, determine for how many hours each machine was in operation
Answer: old machine 150, new machine 280
Step-by-step explanation:
given data:
Old machine = 25t
New machine = 35t
where t = hrs
we dont know the time for old machine so we assume it to be ( t ),
while that of the new machine is ( 14-t ) hours for new machine, and sum of 430 components.
therefore;
25t +490 - 35t = 430
-10t = -60
divide both sides by -10
t = 6 hours for the first machine.
6hrs * 25 components /hr
= 150 component parts For old machine.
for new machine
= 14 - t ........... eq1.
where ( t = 6 ), substitute t into the equation
= 14 - 6
= 8 hours for the second machine
= 8 * 35
= 280 components parts
Find the missing term in the pair of equivalent ratios.
_ : 24 = 15 : 5
Answer:
72 : 24 = 15 : 5
How do I Solve |24| - |-17|
Answer:
7
Step-by-step explanation:
|24| - |-17|
The absolute value of 24 is 24 so,
24 - |- 17|
and the absolute value of -17 is 17 so all you have to solve for is
24 - 17
which is 7
hope this helps :)
What is the length of the blue segment in A below?
Answer:
6.47
Since it's just asking for the other side of the diameter, it's equivalent to the radius given already.
Answer:
6.47
Since it's just asking for the other side of the diameter, it's equivalent to the radius given already.
Step-by-step explanation:
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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In simplest form, what is 4/5)^2 - 2/5?
Answer:
in the simplest form it would be 6/25
Step-by-step explanation:
thank me later <333
-5x + 9 = -3x + 1 solve the equation
Answer:
x=4
Step-by-step explanation:
Step 1: Add 3x to both sides.
−5x+9+3x=−3x+1+3x
−2x+9=1
Step 2: Subtract 9 from both sides.
−2x+9−9=1−9
−2x=−8
Step 3: Divide both sides by -2.
−2x/−2=−8/−2
Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś
Answer:
X | y
---------------
-2 | 3
-1 | 0
0 | -3
1 | -6
A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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person A buys 12 granola bars and 7 cups of yogurt for $15.50. person B buys six granola bars and 11 cups of yogurt for $11.50. find the cost of each
50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50.
What is the product?
Answer:
4.84096e+25
Hope This Helped!Answer:
3.) 4.84096 x 10^25Step-by-step explanation:
Hope it helps u!!!!what is the meaning of sequence in mathematic and
Answer:
A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.
Step-by-step explanation:
4. Standard Form
Amy deposited dimes and quarters into the CoinStar machine at
her local grocery store. The total money she deposited was
$11.35. If Amy had 26 dimes, write and solve a linear equation
to find the number of quarters she had.
The number of quarters that Amy deposited in the bank is 35.
How many quarters did she have?A linear equation is an equation that has a single variable that is raised to the power of one.
The general form of a linear equation is:
y = a + bx
Where:
a = intercept b = slopeThe form of the linear equation for this question is:
Total amount deposited = (value of a dime in dollar terms x number of dimes) + (number of quarters x value of quarters in dollar terms)
$11.35 = (26 x 0.1) + (0.25 x q)
$11.35 = 2.6 + 0.25q
$11.35 - 2.6 = 0.25q
$8.75 = 0.25q
q = $8.75 / 0.25
q = 35
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In two or more complete sentences explain how to balance the chemical equation and classify its reaction type. ___NaI + ___Pb(SO4)2 ⟶ ___PbI4 + ___Na2SO4
Answer:
4112
Step-by-step explanation:
Answer:
By applying law of conservation of mass.
Explanation:
Every balanced chemical equation follows law of conservation of mass.
This law states that mass can neither be created nor can be destroyed but it can only be transformed from one form to another form.
This law also states that the total number of individual atoms on the reactant side must be equal to the total number of individual atoms on the product side.
For the given reaction, the balanced chemical equation follows:
4Na1+Pb(SO4)__Pb14+2Na2SO4
On reactant side:
Number of sodium atoms = 4
Number of iodine atoms = 4
Number of lead atoms = 1
Number of sulfur atoms = 2
Number of oxygen atoms = 8
On product side:
Number of sodium atoms = 4
Number of iodine atoms = 4
Number of lead atoms = 1
Number of sulfur atoms = 2
Number of oxygen atoms = 8
Hence, the balanced chemical equation is written above.
Step-by-step explanation:
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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