Answer: the answer that actually makes since is multiply 8 times 41.75 that also equals out to 334 which would be accurate
Step-by-step explanation:
Answer:
multiply 8 times 41.75
Step-by-step explanation:
i got it right on my test
10x^3 - 6x^2 + 50x - 30
Answer:
Step-by-step explanation:
22
Answer:
Factored :
2 (5x-3)(x^2+5)
Roots :
[tex]x=\frac{3}{5} , i\sqrt{5} , -i\sqrt{5} \\[/tex]
Step-by-step explanation:
25. Paulo's family arrived at the reunion at
8:30 A.M. How long do they have before
the trip to Scenic Lake Park?
DATA
Trip to Scenic
Lake Park
10:15 A.M. to 2:30 P.M.
Slide show
4:15 P.m. to 5:10 P.M.campfire 7;55p.m.to 9;30p.m
26. How much longer is dinner than the
25 states, Paulo's family arrived at the reunion at
8:30 A.M. How long do they have before
the trip to Scenic Lake Park?
So the question asks how long it takes.
8:30AM to 10:15AM would be a 1:15 hour difference. This would be the answer to #25.
Let me know if you have any extra questions.
25 states, Paulo's family arrived at the reunion at
8:30 A.M. How long do they have before
th
Step-by-step explanation:
A trapezoid has a set of parallel bases with lengths 3 inches and 5 inches and a height of 8 inches. What is the area of the trapezoid? Type a numerical answer in the space provided. Do not include units or spaces in your answers.
Answer:
The area \(A\) of a trapezoid can be calculated using the formula:
\[ A = \frac{1}{2} \times (b_1 + b_2) \times h \]
where \(b_1\) and \(b_2\) are the lengths of the parallel bases, and \(h\) is the height.
For this trapezoid:
- \(b_1 = 3\) inches
- \(b_2 = 5\) inches
- \(h = 8\) inches
Plugging in the values:
\[ A = \frac{1}{2} \times (3 + 5) \times 8 \]
\[ A = \frac{1}{2} \times 8 \times 8 \]
\[ A = \frac{1}{2} \times 64 \]
\[ A = 32 \]
The area of the trapezoid is 32.
Please help me!! I have been stuck for hours
Answer:
The optimum price to sell the app is $2.55
Step-by-step explanation:
Modeling With Functions
The equation of the demand for the app store is given by
U=10000-2000P
Where U is the number of units sold and P is the price for each unit.
a.
The money from sales (Revenue) is U times the price of each unit, so
[tex]S=U.P[/tex]
Using the equation above
[tex]S=(10000-2000P).P=10000P-2000P^2[/tex]
b. The upfront costs function is given by
[tex]C=2000+0.1U[/tex]
Again, we use the equation for U
[tex]C=2000+0.1(10000-2000P)[/tex]
[tex]C=2000+1000-200P[/tex]
[tex]C=3000-200P[/tex]
c.
The profit is the sales minus the cost
[tex]Profic=S-C=10000P-2000P^2-(3000-200P)[/tex]
[tex]Profit=10000P-2000P^2-3000+200P[/tex]
[tex]Profit=-2000P^2+10200P-3000[/tex]
d.
The vertex of a quadratic function shown as
[tex]f(x)=ax^2+bx+c[/tex]
has an x-coordinate equal to
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
The optimum price for selling the app can be found in the vertex of the above equation.
The P-coordinate of the vertex is given by
[tex]\displaystyle x=-\frac{10200}{-4000}=2.55[/tex]
The optimum price to sell the app is $2.55
If 4 bushels of oats weigh 112 kg, how much do 8.5 bushels of oats weigh?
Solve: 2(4x - 6) = 6x - 4 A) 4 Eliminate B) 8 C) -4 D) no solution
Answer:
x = 4
A
Step-by-step explanation:
2(4x - 6) = 6x - 4
8x -12 = 6x - 4
8x - 8 = 6x
8x = 6x + 8
2x = 8
x = 4
Hope this helps :)
a computer costs 400 dollars. Its 20 percent off with an additional 5 percent off, there's no sales tax. How much does the computer cost now?
The computer costs $304 now.
Step-by-step explanation:
Given,
Cost of computer = $400
First discount = 20%
Amount of discount = 20% of $400
Amount of discount = [tex]\frac{20}{100}*400=\frac{8000}{100}[/tex]
Amount of discount = $80
Price after first discount = 400-80 = $320
Additional discount = 5%
Amount of additional discount = 5% of price after first discount
Amount of additional discount = [tex]\frac{5}{100}*320=\frac{1600}{100}[/tex]
Amount of additional discount = $16
Final cost = 320-16 = $304
The computer costs $304 now.
Keywords: discount, subtraction
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Maya has $2740 of play money
Emily has $3560 of play money. Maya gives some money to Emily. If Emily ends up with 4 times Maya amount. How much money does each girl has in the end
Answer:
Maya = $1260
Emily = $5040
Step-by-step explanation:
2740+3560 =6300
M + (4M) = 6300
5M=6300
M=6300/5
M=1260
E=5040
Maya has $1260, and Emily has $5040 in the end. Maya gives $1480 to Emily.
How the amount of money was calculatedMaya has $2740, and Emily has $3560.
We're looking for the amount Maya gives to Emily so that Emily ends up with 4 times as much as Maya.
Let M be the amount Maya gives to Emily.
Emily ends up with 4 times Maya's amount:
Emily's amount = 4 * Maya's amount
$3560 + M = 4 * ($2740 - 4M
Simplify:
$3560 + M = $10960 - 4M
$3560 + M + 4M = $10960
5M = $10960 - $3560
5M = $7400
Divide by 5 to solve for M:
M = $7400 / 5
M = $1480
So, Maya gives $1480 to Emily.
To find how much each girl has in the end:
Maya: $2740 - $1480 = $1260
Emily: $3560 + $1480 = $5040
Maya has $1260, and Emily has $5040 in the end.
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At a local food store a child stole $500 from the shopkeeper's cash register to purchase goods in the store. The items the child purchased total $350 which he paid using the money he stole and received change of $150. How much money in total did the shopkeeper lose
Answer:
$650
Step-by-step explanation:
the child stole $500 then the shopkeeper gave him change of $150 that equals to the amount of money the shopkeeper lost.
working....
$500+$150=$600
Final answer:
The shopkeeper lost a total of $500 due to the child stealing $500, buying items worth $350, and receiving $150 in change.
Explanation:
The question involves determining the total amount of money the shopkeeper lost due to a theft. When the child stole $500 from the cash register and then used some of this money to buy items worth $350, the shopkeeper effectively lost that amount due to the child not legitimately paying for the goods. Furthermore, the child received $150 in change when they used the stolen money to pay for the items. Therefore, the total money lost by the shopkeeper is the sum of the cost of the goods taken and the change given out, which amounts to $350 + $150, equating to a total loss of $500.
Plz I need help with geometry homework FIND THE ANGLES
Answer:
a = 36°b = 36°c = 72°d = 72°e = 108°f = 16°g = 74°h = 70°Step-by-step explanation:
You are expected to know and make use of the following relations:
vertical angles are congruentangles of a linear pair are supplementaryangles of a triangle sum to 180°alternate interior angles are congruent (at parallel lines)corresponding angles are congruent (at parallel lines)acute angles of a right triangle are complementarybase angles of an isosceles triangle are congruent__
For this problem, it isn't always easiest to work the questions in order. It is best to start with the angles easiest to find from those given.
b and 144° are a linear pair, so b = 180° -144° = 36°
a and b are alternate interior angles, so a = b = 36°
2d and 144° are corresponding angles, so d = 144°/2 = 72°
e is the apex angle of an isosceles triangle with base angles 36°, so is 180° -2(36°) = 108° = e
f and 164° are a linear pair, so f = 180° -164° = 16°
g and f are complementary, so g = 90° -16° = 74°
g+h is a vertical angle with 144°, so is congruent to that. h = 144° -74° = 70°
c is the base angle of an isosceles triangle with b as the vertex angle. That means c = (180° -36°)/2 = 72°
Isaac purchased a house for $179,300,00. Every year, Isaac makes improvements so that the value of the house goes up by 4%.
Which of the following equations can be used to determine the number of years after purchase, that the value of Isaac's house will
be equal to 5197.230.002
Answer:
The number of years in which house value goes up is 145 years .
Step-by-step explanation:
Given as :
The initial purchased value of the house = p = $179,300,00
The value of house goes up every years at the rate = r = 4%
Let The number of years in which house value goes up = t years
The value of the house after t years = $A = $5197,230,002
Now, According to question
The value of the house after t years = The initial purchased value of the house × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
I.e A = $p × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]
Or,$5197,230,002 = $17930000 × [tex](1+\dfrac{\textrm 4}{100})^{\textrm t}[/tex]
Or, [tex]\dfrac{5197,230,002}{179,300,00}[/tex] = [tex](1+\dfrac{\textrm 4}{100})^{\textrm t}[/tex]
Or, 289.86 = [tex](1.04)^{t}[/tex]
Now, taking Log both side
So, [tex]Log_{10}[/tex]289.86 = [tex]Log_{10}[/tex] [tex](1.04)^{t}[/tex]
or, 2.462 = t × [tex]Log_{10}1.04
or, 2.462 = t × 0.01703
∴ t = [tex]\dfrac{2.462}{0.01703}[/tex]
I.e t = 144.56 ≈ 145
So, Number of years = t = 145 years
Hence The number of years in which house value goes up is 145 years . Answer
To determine the number of years it will take for the value of Isaac's house to reach $5,197,230.002 with an annual appreciation rate of 4%, use the compound interest formula. Solving for the number of years, the approximate result is 84 years.
Isaac purchased a house for $179,300. Every year, the value of the house increases by 4%. To determine the number of years after purchase that the value of Isaac's house will reach $5,197,230.002, we can use the formula for compound interest:
FV = PV × (1 + r)ⁿ
FV is the future value of the house, $5,197,230.002.PV is the present value or the initial value of the house, $179,300.r is the annual increase rate, 4% or 0.04.n is the number of years.We need to solve for n in the equation:
$5,197,230.002 = $179,300 × (1 + 0.04)ⁿFirst, isolate the exponential expression:
(1 + 0.04)ⁿ = $5,197,230.002 / $179,300(1.04)ⁿ ≈ 29Next, apply the natural logarithm to both sides to solve for n:
ln[(1.04)n] = ln(29)n × ln(1.04) = ln(29)n = ln(29) / ln(1.04)n ≈ 83.95 yearsSo, the value of Isaac's house will reach $5,197,230.002 approximately 84 years after purchase.
which equation could represent the area of a square as a function of a side A: A(s)=2s B: A(s)=4s C: A(s)= s2
Answer:
[tex]A(s)=s^2[/tex]
Step-by-step explanation:
we know that
The square is a regular polygon that has four right angles and four parallel and congruent sides.
The area of a square is equal to the length side squared
Let
s ----> the length side of the square
we have that
[tex]A(s)=s^2[/tex]
Simplify the expression 6y to the 4th power+3y to the 4th power.
Answer:
6y^4 + 3y^4
1296y + 81y
1377y
Step-by-step explanation:
If a single point satisfies the equations of two lines, the point is on both lines?
Answer:
yes
Step-by-step explanation:
Answer:
Yes. This is called a solution of the equations and is the intersection point.
Helllp!! Analyze the diagram below and answer the question that follows.
The parallel lines are:
▪ Option D that's FL // GKKnow more:-
In geometry, parallel lines are lines in a plane which do not meet; they do not intersect at any point and keeps a fixed minimum distancea closet has 10 pairs of sneakers and 4 pairs of flip flops. write the ratio of pairs of flip flops to the total pairs of sneakers in simplest form
Answer:
2:5
Step-by-step explanation:
The ratio of pair of flip flop to pair of sneakers is 4:10 we simplify it to 2:5 by dividing both sides by 2
Marissa bought four bottles of water Each bottle of water is 0.95 cents Write an equation with the same product as the total cost but different factors SHOW IN OWN WORDS SHOW YOUR WORK
Answer: Total cost = Cost of each bottle × Number of bottles
Step-by-step explanation: If each bottle of water Marissa bought cost 0.95cents. This means four bottles will cost = 0.95 + 0.95 + 0.95 + 0.95 = 3.80 cents
This can be written simply as 0.95 × 4 = 3.80 cents
Therefore, a general equation for calculating the total cost of bottle water will be;
Total cost = Cost of each bottle × Number of bottles.
P is the centroid of triangle ABC. AE = 21, CD = 14, and BF = 11. What is the length of AP?
Answer
[tex]AP=14[/tex]
Step by Step Explanation
1) Due to the Centroids Theorem we can say that:
AP=2/3AE
AP=2/3*21
∴AP=14
2) Finally, AE =AP+AE
21=14+7 ⇒21=21 True
AP =2PE verifies the Theorem too.
So, the size is 14 .
[tex]AP=14\:u[/tex]
Car Survey in a survey of 3,200 people who owned a certain type of car, 2,240 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
30%
Step-by-step explanation:
1.) subtract 3200 and 2240. Since you need to find the amount of people who were satisfied with the car.
2.) divide 960 and 3200. this is because you need to find the percent of people who were satisfied with the car.
Answer: 30%
The percentage satisfied with the purchase is 30%
The percentage who were satisfied can be calculated thus :
(Difference/ Number surveyed ) × 100%Difference = 3200 - 2240 = 960
Now we have :
(960 / 3200) × 100%
= 0.3 × 100%
= 30%
Hence, percentage who were satisfied is 30%
They’re 80 skittles in a bag 20% of them are read how many skittles a red
Answer: 16
Step-by-step explanation: 80x20=1600
Put the decimal place where it belongs
80% of 20=16
Hope this helps!
To find the number of red skittles in the bag, multiply the total number of skittles by the percentage of red skittles (in decimal form). In this case, there are 16 red skittles in the bag. So, there are 16 red skittles in the bag.
Explanation:To find the number of red skittles in the bag, we can use the concept of percentages. We know that 20% of the skittles are red, and there are 80 skittles in total. To find the number of red skittles, we multiply 80 by 20% (or 0.20).
80 * 0.20 = 16
So, there are 16 red skittles in the bag.
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What is the equation of the line in slope-intercept form?
Answer:
Step-by-step explanation:
Answer:
[tex]y=\dfrac{3}{5}x+3[/tex]
Step-by-step explanation:
From the given graph it is clear that the graph passes through the points (0,3) and (-5,0).
It a line passes through wo points then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The equation of given line is
[tex]y-3=\dfrac{0-3}{-5-0}(x-0)[/tex]
Add 3 on both sides.
[tex]y=\dfrac{-3}{-5}x+3[/tex]
[tex]y=\dfrac{3}{5}x+3[/tex]
Therefore, the required equation is [tex]y=\dfrac{3}{5}x+3[/tex].
The circumference of the Astrodome in Houston, Texas is 2,230 ft. Find the area of the astrodome and explain how you did this using the words area, circumference and radius. (π = 3.14)
Answer:
The radius of Astrodome is 355.09 foot,
The Area of Astrodome is 395919.146 square foot .
Step-by-step explanation:
Given as :
The circumference of Astrodome = 2230 foot
∵ The circumference of circular shape = 2 × [tex]\pi[/tex] × radius
where [tex]\pi[/tex] = 3.14
So, The circumference of Astrodome = 2 × [tex]\pi[/tex] × radius
Or, 2230 foot = 2 × 3.14 × radius
Or, 2230 foot = 6.28 × radius
∴ radius = [tex]\dfrac{2230}{6.28}[/tex]
I.e radius = 355.09 foot
Now,
∵The area of circular shape = [tex]\pi[/tex] × radius²
So, The area of Astrodome = [tex]\pi[/tex] × radius²
Or, The area of Astrodome = 3.14 × radius²
Put the value of radius = 355.09 foot
So , The area of Astrodome = 3.14 × (355.09)²
or, The area of Astrodome = 3.14 × 126088.9
∴ The area of Astrodome = 395919.146 square foot
Hence , The radius of Astrodome is 355.09 foot, and The Area of Astrodome is 395919.146 square foot . Answer
What is the equation of a line that contains the points (5.0) and (5,-2)?
x = 5
x = 0
y=0
y = 5
Answer:
C) y=0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-0)/(5-5)
m=-2/0
m=0
y-y1=m(x-x1)
y-0=0(x-5)
y-0=0
y=0+0
y=0
Answer:
x=5
Step-by-step explanation:
a
find the unit cost of each of the following to determine which is the better value: 8 CDs for $56.99 or 3 CDs for $22.99
Answer:
8 CD's for $56.99 is better value than 3 CD's for $22.99.
Step-by-step explanation:
We are given that,
Cost of 8 CD's is $56.99 and cost of 3 CD's is $22.99.
Now, to determine which is the better value, we will find the cost of 1 CD in both the cases. The case which will give cost per CD less will represent the better value.
CASE 1 :
Cost of 8 CD's = $ 56.99
So, cost of 1 CD = $ 56.99 ÷ 8 = $ 7.12 (approx.)
CASE 2 :
Cost of 3 CD's = $ 22.99
∴ Cost of 1 CD = $ 22.99 ÷ 3 = $ 7.66 (Approx.)
So, the CD's are available in cheaper rates in the first case in comparison to second case.
So, 8 CD's for $56.99 is better value than 3 CD's for $22.99.
Answer:
The unit cost of 8 CDs for $56.99 is $7.12 and the unit cost of 3 CDs for $22.99 is $7.66.
And the better value is of 8 CDs for $56.99.
Step-by-step explanation:
Given:
8 CDs for $56.99 or 3 CDs for $22.99.
Now, to find the unit cost to determine which is better value.
By using unitary method we find it:
So, to get the unit cost of 8 CDs for $56.99:
If 8 CDs cost $56.99.
Then, 1 CD cost = [tex]56.99\div 8=\$7.12.[/tex]
Thus, the unit cost = $7.12.
Now, to get the unit cost of 3 CDs for $22.99:
If 3 CDs cost $22.99.
Then, 1 CD cost = [tex]22.99\div 3=\$7.66.[/tex]
Thus, the unit cost = $7.66.
Now, on comparing we determine the better value is of 8 CDs for $56.99.
Therefore, the unit cost of 8 CDs for $56.99 is $7.12 and the unit cost of 3 CDs for $22.99 is $7.66.
And the better value is of 8 CDs for $56.99.
The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 101010 denarius per day to support 333 legionaries and 333 archers. It only costs 333 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables.
Can we solve for a unique cost for each soldier?
Answer:
The system cannot be solved by a unique cost for each soldier
Step-by-step explanation:
The correct question is
The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legionaries and 3 archers. It only costs 3 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables.
Can we solve for a unique cost for each soldier?
Let
x-------> the cost of a legionary per day
y-------> the cost of an archer per day
we know that
[tex]3x+3y=10[/tex]
isolate the variable y
subtract 3x both sides
[tex]3y=10-3x[/tex]
Divide by 3 both sides
[tex]y=-x+\frac{10}{3}[/tex] ------> equation A
[tex]x+y=3[/tex]
isolate the variable y
subtract x both sides
[tex]y=-x+3[/tex] ------> equation B
Remember , If two lines are parallel, then their slopes are equal
In this problem Line A and Line B are parallel lines, because their slopes are equal.
we know that that the solution of the system of equations is the intersection point both graphs
If the lines are parallel, then the lines don't intersect
see the attached figure to better understand the problem
therefore
The system has no solutions (Is a inconsistent system)
A recipe for cookies calls for 2⁄3 of a cup of chocolate chips and 4 cups of flour. If you want to make a bigger batch, using 6 cups of flour, how many cups of chocolate chips will you need?
If f(x) = x2 − 6x + 19, complete the square and determine the minimum or maximum value of the function.
A) f(x) = (x + 3)2 + 28 and f(x) has a maximum value f(3) = 28.
B) f(x) = (x + 3)2 + 28 and f(x) has a minimum value f(3) = 28.
C) f(x) = (x − 3)2 + 10 and f(x) has a maximum value f(3) = 10.
D) f(x) = (x − 3)2 + 10 and f(x) has a minimum value f(3) = 10. Eliminate
Final answer:
To complete the square for f(x) = x^2 - 6x + 19, we create a perfect square trinomial to rewrite the function as f(x) = (x - 3)^2 + 10, which has a minimum value at the vertex (3, 10).
Explanation:
To complete the square for the quadratic function f(x) = x2 - 6x + 19, we need to form a perfect square trinomial from the x2 and the -6x terms and then adjust the constant term accordingly.
First, we divide the coefficient of the x term, which is -6, by 2, getting -3, and then square it to get 9. We add and subtract this number inside the function to maintain the equality:
f(x) = (x2 - 6x + 9) - 9 + 19
Now, f(x) becomes:
f(x) = (x - 3)2 + 10
Since the coefficient of the x2 term is positive, the parabola opens upward, and the vertex represents the minimum value of the function.
The vertex of the parabola is at (3, 10), so f(3) = 10 is the minimum value of f(x). Therefore, the correct answer is:
D) f(x) = (x - 3)2 + 10 and f(x) has a minimum value f(3) = 10.
The price of a certain stock fell $2 each day for 4 consecutive days. Write an expression that you could use to find the change in the stock’s price after 4 days. Suppose the original price of the stock was $41. What was the price of the stock after 4 days?
Answer:
35
Step-by-step explanation:
[tex]d=-2\\n=4\\a_4=a_1+3d\\if\; a_1=41\; then\; a_4=41+3\times(-2)=41-6=35[/tex]
1. Find the missing side length.
Can someone please help??? I'll give extra points!!
And mark as brainliest. PLEASEEEE!!!
Answer:
Therefore the missing length is AC = 24.46 units
Step-by-step explanation:
Consider a Δ ABC with
∠ B = 43°
AB = c = 18
BC = a = 8
To Find:
AC = c = ?
Solution:
We know in a Triangle Cosine Rule Says that,
[tex]b^{2} =c^{2}+ a^{2}-2\times a\times c\times \cos B[/tex]
Substituting the given values in above formula we get
[tex]b^{2} =18^{2}+ 8^{2}-2\times 8\times 18\times \cos 43\\\\b^{2} =324+64+288\times 0.7313\\\\b^{2} =598.6144\\\\Squaare\ Rooting\\\therefore b = 24.46\ units[/tex]
Therefore the missing length is AC = 24.46 units
Answer:
13.32
Step-by-step explanation:
if the missing side length is b,
1.) b^2 = 18^2 + 8^2 - 2(8)(18)(cos43)
2.) b^2 = 177.3701
then take square root of 177.3701
3.) √(b^2) = √(177.3701)
4.) b = 13.32
see ya have a good day
Please help!! This is just geometry one. We are given that rag IE bisects angle KID and angle IED is congruent to angle IEK. We have to prove that triangle KID is isosceles. Thankyou!
Answer:
Step-by-step explanation:
We are given that IE bisects <KID
Using this, we can say that <EID is congruent to <EIK by the definition of an angle bisector.
We are also given that <IED is congruent to <IEK.
Since these two angles are congruent, we can say that <IDE is congruent to <IKE. This is proven with the 3rd angle theorem.
Since the two base angles are congruent, the triangle is isosceles by the definition of an isosceles triangle.