Answer: positive
Step-by-step explanation:
a tank truck holds 33.8 kl of oil. How many gallons does it hold
In ΔEFG, ∠E \cong≅∠G, GE = 7 and FG = 15. Find the length of EF.
Answer: EF = 15
Step-by-step explanation:
The given description is that of an isosceles triangle. The base angles are congruent, therefore the sides opposite of those angles are also congruent.
The base angles are ∠E and ∠G and the vertex angle is ∠F.
The sides opposite to the base angles are EF and FG.
Thus, EF ≡ FG.
Since FG = 15 and FG = EF, then 15 = EF.
Based on the definition of an isosceles triangle, the length of EF in the triangle is: 15 units.
What is an Isosceles Triangle?An isosceles triangle has two sides that are congruent. The angles opposite these congruent sides are also congruent.
ΔEFG is an isosceles triangle. The congruent sides are, FG and EF.
Therefore, EF = FG = 15 units.
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Solve (t-3)^2=6
The arrow is at a height of 48 ft after approx. ___ s and after ___ s.
The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.
To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:
s = v0t - 16t^2
Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.
Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:
48 = 96t - 16t^2
Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.
Rearranging the equation:
16t^2 - 96t + 48 = 0
Dividing the equation by 16 to simplify:
t^2 - 6*t + 3 = 0
We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.
Using the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values:
t = (6 ± √((-6)^2 - 413)) / (2*1)
t = (6 ± √(36 - 12)) / 2
t = (6 ± √24) / 2
Simplifying the square root:
t = (6 ± 2√6) / 2
t = 3 ± √6
Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.
In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.
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Note the complete question is
The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?
Solve (t-3)^2=6
The arrow is at a height of 48 ft after approx. ___ s and after ___ s.
A line passes through the point −6, 9 and has a slope of −2.
Write an equation in slope-intercept form for this line.
The equation of the line in slope-intercept form is y = -2x - 3.
In this case, we know that the line passes through the point (-6,9) and has a slope of -2. Therefore, we can use the point-slope form of the equation to find the equation in slope-intercept form.
Point-slope form:
y - y₁ = m(x - x₁)
Substituting the values we know, we get:
y - 9 = -2(x - (-6))
y = -2x - 3
Therefore, the equation of the line in slope-intercept form is y = -2x - 3.
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how many miles could he ride in 3 hr
In case whereby Jake rides his bicycle 6 miles in 3/5 of an hour. At this rate, the number of miles could he ride in 3 hours is 30 miles
How can the number of miles be calculated?The distance = bicycle 6 miles
number of hours =3/5 of an hour
then the rate = 6/ (3/5)
Then we can calculate the number of miles with the 6milesi n 3/5 hours as;
= (6 * 5/3 )
=30/3
=10
Then the rate will be 10 miles in 1 hour , hence the number of miles he will ride in 3hrs
=10 * 3 hours
= 30 miles
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I NEED HELPP Solve for PMR please
The angle PMR in the quadrilateral is 32 degrees.
How to find the angle PMR?The angle PMR can be found as follows;
The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.
∠RPM ≅ ∠WPM
Hence,
∠RPM ≅ ∠WPM = 58 degrees
Therefore,
∠WPM = 58 degrees
∠PWM = 90 degrees
Let's find ∠PMR as follows
∠PMR = 180 - 90 - 58
∠PMR = 90 - 58
∠PMR = 32 degrees
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Last year Lenny had an annual earned income of 58,475 he also had passive income of 1,255 and capital gains of 2,350 what was lennys total gross income for the year
58,475+1,255+2,350 =62,080
Answer:
The answer is D, $62,080
Find the dot product of u and v.
u = (−4, 1)
v = (5,-4)
UxV =
A random sample of people were surveyed on their favorite sport, as shown in the
table below sorted by the respondent's age.
under 21
21-34
35-54
55 and
older
Total
Basketball Football Soccer Baseball
10
8
6
8
32
6
9
9
7
Favorite Sport
31
9
5
9
10
33
5
6
7
7
25
Other/Hate
Sports
5
сл
5
8
7
25
Total
35
33
39
39
146
What percent of the people over the age of 55 prefer other sport and/or hate sports?
th
Approximately 17.95% of the people over the age of 55 prefer other sports and/or hate sports.
How to solve the probabilityThe number of people in the "55 and older" age group who prefer other sports or hate sports is 7.
Now we need to find the total number of people in the "55 and older" age group, which is 39.
To find the percentage, we'll use the following formula:
Percentage = (Number of people in the category / Total number of people in the age group) * 100
Percentage = (7 / 39) * 100
Percentage ≈ 17.95%
So, approximately 17.95% of the people over the age of 55 prefer other sports and/or hate sports.
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HELP QUICK!!
if you know that one figure has a greater surface area than another, do you know whether it has a greater volume
Answer:
Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.
Step-by-step explanation:
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Think about using decimal models to show 6.84. If you only used tenths what place would you not be able to model? How many tenths would you use to model the other two places?
Step-by-step explanation:
plase see it i work by paper worksheet
What is the mode of this data set?
{4, 15, 6, 11, 7, 4, 3, 14}
Answer:
4
Step-by-step explanation:
A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)
Bao walked 15 miles in 6 hours. What was her walking rate in miles per hour?
Group of answer choices
2.5 miles per hour
2 miles per hour
1 mile per hour
1.5 miles per hour
The solution is, 2.5 miles per hour was her walking rate in miles per hour.
We know that,
Speed is measured as distance moved over time.
The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time.
In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
Here, given that,
Bao walked 15 miles in 6 hours.
so, we get,
in 6 hours = 15 miles
so, in 1 hour = 15 / 6 miles
=2.5 miles
Hence, The solution is, 2.5 miles per hour was her walking rate in miles per hour.
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Evaluate the following functions.
Help
Chris bought 10.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chris bought?pls show work
Answer:
39.52 Liters
Step-by-step explanation:
Chris has 10.4 Gallons of gasoline, which needs to be converted into Liters. This is done by multiplying the number of Liters there are in 1 Gallon.
\(10.4*3.8=39.52\)
or you can set it up in a fraction and cross multiply to cancel out the units in Gallons
\(10.4G*\frac{3.8L}{1G}=39.52 L\)
The nth term of a sequence is 3n + 1.
Work out the 5th term of this sequence.
Answer:
\(3\)×\(5\)\(=15\)
\(15+1=16\)
What transformation is represented by the function f(x)=2sin(x−π/2)
up 2
down 2
left π/2
right π/2
down π/2
Answer:
right π/2
Step-by-step explanation:
The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .
Therefore, the correct answer is right π/2
Ben lost half of his candies while walking home. His mom gave him 8 more candies. Now he has
22 candies. How many candies did he have to begin with?
What are the roots of the quadratic equation x²-81=0
Answer:
What are the roots of the quadratic equation x²-81=0
Answer:
x = ± 9
Step-by-step explanation:
Given
x² - 81 = 0 ( add 81 to both sides )
x² = 81 ( take the square root of both sides )
x = ± \(\sqrt{81}\) = ± 9
Thus roots are x = - 9, x = 9
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
F(x)=4x>2+12x+9 Rewrite to function by completing the square F(x)=...(x+....)>2+...
Answer:
f(x) = 4( x + 3/2)^2
Step-by-step explanation:
F(x) =4 x^2 + 12x + 9
= 4 [ x^2 + 3x] + 9
Add (3/2)^2 - (3/2)^2 to the square bracket, we have:
4 [ x^2 + 3x+ (3/2)^2 - (3/2)^2] + 9
4[ (x + 3/2 )^2 - 9/4] + 9
4( x + 3/2)^2 - 9/4 ×4 + 9
4( x + 3/2)^2 - 9 + 9
4( x + 3/2)^2 +0
4( x + 3/2)^2
Note the (3/2)^2 - (3/2)^2 is decoded by dividing b by 2 and squaring it and then subtracting same. Look at the general equation of a circle given below
ax^2 + bx + c
To form a square expression we adopt (b/2)^2 - (b/2)^2 to the general equation provided a = 1;
To make a = 1; we had to factor out 4 from the coefficient of x; making perfect square is of concern when we have ax^2 + bx ; irrespective of 'c' or not.
This is usually referred to as method of completing the square in solving quadratic equation
The assets and liabilities of a local surf shop are listed below.
Building Mortgage $78,280
Other Debt $21,987
Accounts Receivable $15,403
Property Value $130,284
Long Term Investments $106,987
Small Business Loan $28,950
Long Term Liabilities $48,970
Owned Inventory $38,671
Cash $208,634
Savings Account $172,839
Owned Equipment $38,291
The surf shop owner receives notice that the property value has increased by $40,000. What is the net worth of the surf shop?
$532,922
$572,922
$711,109
$731,109
The net worth of the surf shop would be $572,922.
Option (B) is correct.
What is the net worth?
Net worth is a financial metric that represents the value of an individual or a company, and it is calculated by taking the total assets and subtracting the total liabilities.
To calculate this, you would add up all of the assets (property value, long term investments, cash, savings account, owned inventory, and owned equipment) and subtract all of the liabilities (building mortgage, other debt, small business loan, and long term liabilities).
In this case, the assets total:
$130,284 (property value) + $106,987 (long term investments) + $208,634 (cash) + $172,839 (savings account) + $38,671 (owned inventory) + $38,291 (owned equipment) = $731,109
And the liabilities total:
$78,280 (building mortgage) + $21,987 (other debt) + $28,950 (small business loan) + $48,970 (long term liabilities) = $178,187
So,
$731,109 (assets) - $178,187 (liabilities) = $572,922 (net worth)
hence, The net worth of the surf shop would be $572,922.
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Add. Write your answer in scientific notation. (8×106)+(7.92×109)
The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression is given below.
8 × 10⁶ and 7.92 × 10⁹
The addition of both terms 8 × 10⁶ and 7.92 × 10⁹ will be
⇒ 8 × 10⁶ + 7.92 × 10⁹
⇒ 8 × 10⁶ + 7920 × 10⁶
⇒ 7928 × 10⁶
⇒ 7.928 × 10⁹
The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.
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Round the number 0.86431 to 2 decimal places.
Answer:
0.86
Step-by-step explanation:
0.86431 -> 0.86
Answer:
0.86
Step-by-step explanation:
since the number is the third decimal place is lesser than five, the number in the second decimal place remains thee same and will not increase
Winona has two jobs; one pays $10.00 per hour and the other pays $9.25 per hour plus an average of 70% of the hourly pay in tips and bonuses. Each pay
period, 20% of her total pay goes to taxes.
Part 1 of 2
(a) Write and simplify an equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the
number of hours, y, worked at the second.
The total take-home pay from Winona's two jobs can be found using the equation
P=
Part 2 of 2
X
3
(b) If Winona is committed to work 30 hours per week at the first job, how many hours per week would she need to work at the second job if she needs
her biweekly take-home pay to be $800? Round the answer to one decimal place.
In order for her biweekly take-home pay to be $800, Winona needs to work
hours per week at her second job.
Answer:
76.5 hours
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
Part 1 of 2:
(a) The equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the number of hours, y, worked at the second job can be written as:
P = (10x) + (9.25y + 0.7 * 9.25y) - 0.2[(10x) + (9.25y + 0.7 * 9.25y)]
Simplifying the equation:
P = 10x + 9.25y + 0.7 * 9.25y - 0.2(10x + 9.25y + 0.7 * 9.25y)
Part 2 of 2:
(b) If Winona is committed to working 30 hours per week at the first job, let's assume x = 30. We need to find the number of hours per week, y, she would need to work at the second job to reach a biweekly take-home pay of $800.
Using the simplified equation from part (a), we substitute x = 30 and solve for y:
800 = (10 * 30) + (9.25y + 0.7 * 9.25y) - 0.2[(10 * 30) + (9.25y + 0.7 * 9.25y)]
800 = 300 + (9.25y + 0.7 * 9.25y) - 0.2(300 + (9.25y + 0.7 * 9.25y))
Now, we can solve for y:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2(300 + 9.25y + 0.7 * 9.25y)
Simplify the equation:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2 * 300 - 0.2 * 9.25y - 0.2 * 0.7 * 9.25y
Combine like terms:
800 = 300 - 60 + 9.25y - 1.85y - 0.1295y
800 = 240 + 7.32y
Subtract 240 from both sides:
560 = 7.32y
Divide both sides by 7.32:
y ≈ 76.5
Therefore, Winona would need to work approximately 76.5 hours per week at her second job to reach a biweekly take-home pay of $800.
1. The cost of powdered milk os Php 450.00 per 1 kg.
Another brand contains 1.5 kilograms at Php 485.00.
What is more economical ?
Answer:
see below
Step-by-step explanation:
brand A = 450 / 1
= P 450 per kg
brand B = 485 / 1.5
= P 323.33 per kg
therefore, brand B is much cheaper
A bacteria culture grows at a rate of 16% per hour. If there were 25 bacteria present in the culture to start, how many bacteria are present after one day?
Step-by-step explanation:
me kuch nhi karunga
When a solid directly changes to gaseous state on heating , without changing to the liquid state , the gaseous material so formed is called?Simplify the expression. (4.57u − 14) − (−6 + 7.6u) −3.03u + (−20) −3.03u + (−8) 12.17u + (−20)
After simplification of the given expression, the resultant answer is (B) −3.03u + (−8).
What are expressions?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
It's possible to multiply, divide, add, or subtract with this mathematical operation.
Keep in mind that terms can be coefficients, constants, or variables. So, 1+1 is a straightforward example of an expression.
This equation has one operation, two constant terms, and (addition). x3 is another illustration.
So, the given expression is:
(4.57u − 14) − (−6 + 7.6u)
Then, solve as follows:
4.57u - 14 - ( -6 + 7.6u)
4.57u - 14 + 6 - 7.6u
4.57u - 7.6u = -3.03u AND -14 + 6 = -8
-3.03u - 8 (or -3.03u + (-8) )
Therefore, after simplification of the given expression, the resultant answer is (B) −3.03u + (−8).
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Correct question:
Simplify the expression.
(4.57u − 14) − (−6 + 7.6u)
A. −3.03u + (−20)
B. −3.03u + (−8)
C. 12.17u + (−20)
D. 12.17u + (−8)
!!!!How many solutions does the equation have?
8 (3x - 6) = 6 (X + 8)
one solution
no solution
many solutions. explain your answer
Answer:
one solution since it's a lender equation