The total weight of the bottles the truck carries is 6020 ounces.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
Example:
2 + 1x + 4y = 7 is an expression.
3 + 3x + 3 = 7 is an expression.
We have,
Number of bottles the truck carries = 430
One bottle weight = 14 ounces
Now,
The total weight of the bottles.
= Number of bottles x Weight of one bottle
= 430 x 14
= 6020 ounces
Thus,
The total weight of the bottles the truck carries is 6020 ounces.
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Please help me I need help with algebra 2
Answer:If (x + 1) is a factor of the polynomial p(x), then p(x) can be written as:
p(x) = (x + 1) q(x)
for some polynomial q(x). By substituting x = -1 into this expression, we can find the value of c:
p(-1) = (-1 + 1) q(-1) = 0 q(-1) = 0
So,
0 = 5(-1)^4 + 7(-1)^3 - 2(-1)^2 - 3(-1) + c
= -5 + 7 - 2 + 3 + c
= c = 3
So, the value of c that makes (x + 1) a factor of the polynomial p(x) = 5x^4 + 7x^3 - 2x^2 - 3x + c is c = 3.
If your car gets 33 miles per gallon, how much does it cost to drive 350 miles when gasoline costs $2.80 per gallon?
Answer:
$29.68 to drive 350 miles
Step-by-step explanation:
To find the cost of driving 350 miles, we first need to calculate the amount of gasoline required for driving 350 miles. We can use the formula:
gasoline = distance ÷ miles per gallon
Plugging in the given values:
gasoline = 350 ÷ 33
gasoline = 10.606060606060606
So, we need 10.61 gallons of gasoline to drive 350 miles.
Next, we multiply the amount of gasoline needed by the cost per gallon to find the total cost:
total cost = gasoline × cost per gallon
total cost = 10.61 × 2.80
total cost = 29.6780
Therefore, it would cost approximately $29.68 to drive 350 miles when gasoline costs $2.80 per gallon and your car gets 33 miles per gallon.
Answer: 350 mi * 1 gal / 33 miles * $2.80 / 1 gal = 29.69$
which means the cost is 2.8*(350/33)=29.69$
Step-by-step explanation:
Here, 2.80$/1 Gal.
Now we need to cancel out gallons, so we add a ratio with gallons.
2.80$/1 Gal. x 1 Gal/33 mi.
Now add the last data element to cancel out miles.
2.80$/1 Gal. x 1 Gal/33 mi. x 350 mi.
Cancelling out units and numbers gives,
(2.80$ x 350)/33. Continue reducing to an answer:
980$/33 = 29.69$
In the triangle below, WXY is a equilateral triangle and XZ and WY
In the given equilateral triangle XYZ the relation which is true is WX = 2WZ. So option C is correct.
What are properties of equilateral triangle?An equilateral triangle is a particular kind of triangle in which the lengths of the three sides are equal. These are a few of its main characteristics:
Congruent angles exist for all three: An equilateral triangle has 60 degrees for each angle.
The three parties all agree: The perimeter of an equilateral triangle is three times the length of any one side because each side is the same length.
For any side, the same line serves as the altitude, median, and angle bisector:
A line segment perpendicular to the other side and drawn from one vertex is the altitude. A line segment called the median is drawn from one vertex to the middle of the other side. The line segment known as the angle bisector divides the angle made up of two sides.
Given that,
The triangle XYZ,
It is known that,
All the sides in the equilateral triangle are equal,
So it can be written as,
⇒ WX = WY = XY
⇒ WY = 2WZ = 2ZY
Therefore,
⇒ WX = 2WZ
Hence, the correct relationship is WZ = 2WZ.
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Answer:
WX=2 times WZ
Step-by-step explanation:
i just took the quiz on apex
Need help solving three questions on algebra homework
The values of the composite functions are (f + h)(5) = 7, (h - f)(2) = 0, (fh)(3) = 0 and (h/f)(0) = 3/5
How to evaluate the composite functionsFrom the question, we have the following parameters that can be used in our computation:
The graphs
Using the graphs as a guide, we have the following:
(f + h)(5) = f(5) + h(5)
(f + h)(5) = 3 + 4
(f + h)(5) = 7
(h - f)(2) = h(2) - f(2)
(h - f)(2) = 1 - 1
(h - f)(2) = 0
(fh)(3) = f(3) * h(3)
(fh)(3) = 4 * 0
(fh)(3) = 0
(h/f)(0) = h(0)/f(0)
(h/f)(0) = 3/5
Hence, the value of the function (h/f)(0) is 3/5
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That standard deviation of the ages of class members is 14.8. Find the range of ages that are within one standard deviation of the mean age.
I am so confused… brainlest if you answer quick and correct.. Ty.
The range of ages that are within one standard deviation of the mean age are given as follows:
M - 14.8 ≤ M ≤ M + 14.8.
In which M is the mean age.
How to obtain the range?The standard deviation of a data-set is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of observations.
The values that are within one standard deviation of the mean M have the bounds given as follows:
Lower bound: M - 14.8 -> one standard deviation below the mean.Upper bound: M - 14.8 -> one standard deviation above the mean.More can be learned about the standard deviation of a data-set at https://brainly.com/question/475676
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A cell phone plan charges $47.35 per month plus $13.94 in taxes, plus $0.60 per minute for calls beyond the 400-minute monthly limit. Write a piecewise-
defined function to model the monthly cost C(x) (in S) as a function of the number of minutes used for the month.
C(x).
18
for (Choose one) Y
for (Choose one) ▼
X
!!
The two pieces relate to the number of minutes used, since there's the 400-minute limit.
Piece #1: When you use less than or equal to 400 minutes:
Cost calculation: $47.35 + $13.94 = $61.29
Piece #2: When you use more than 400 minutes:
Cost calculation: $47.35 + $13.94 + $0.60(x-400)
The x-400 piece is because you're only charged the $0.60/minute beyond the 400 minutes, so 401 minutes needs just 1 minute of extra charge
Cost calculation cleaned up: 61.29 + 0.60x - 240 = 0.6x - 178.71
Now it looks weird to have that -178.71, but keep in mind that this is only used if x > 400.
[tex]C(x) = \left \{ {{61.29 ~~~~~~~~~~~~~~ \text{ if } ~0 \leq x\leq 400} \atop {0.6x - 178.71~~~~ \text{ if } x > 400} \right.[/tex]
Your system might not require the "0≤x", but it technically should be there.
if (x) - **4, g(x) = x= 2, and h(x) = 4x+1, what is (f• Hºg)(x)?
2x+16
o (fe hºg)(x) =
2x+4
o (fonog)(x)=
4x-3
o (f• hºg)(x)- Ax=1
4x-5
o (f• nºg)(x) = AX-
The solution is, the value of (f• Hºg)(x) = 4x+2.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
f(x) = x-4
g(x) = x+ 2,
and h(x) = 4x+1
now, (f• Hºg)(x)
= (f•(4(x+2)+1)(x)
=((4x+6)-4)
=4x+2
Hence, The solution is, the value of (f• Hºg)(x) = 4x+2.
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In an experiment with oat, the mean yield was 52.8 bushels per acre and the experimental
error variance was 20.31 with 36 df. A similar experiment under somewhat different
circumstances might have ȳ = 48.4 and s
2
= 45.06with 24 df.
Assuming the error variances are not homogeneous, test the null hypothesis that the
two population means are equal using a t-test at the 95% level of confidence.
Answer:
To perform a t-test for the equality of two population means with unequal variances, we can use the Welch's t-test. In this test, the formula for the t-statistic is:
t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)
Where x1 and x2 are the sample means, s1^2 and s2^2 are the sample error variances, and n1 and n2 are the degrees of freedom for the two samples.
Plugging in the given values, we have:
t = (52.8 - 48.4) / sqrt(20.31/36 + 45.06/24) = 4.25
Next, we need to find the critical t-value from the t-distribution table with degrees of freedom equal to the smaller of n1 and n2, which is 24. With a 95% confidence level, the critical t-value is approximately 2.492.
Since our calculated t-statistic (4.25) is greater than the critical t-value (2.492), we reject the null hypothesis that the two population means are equal. This suggests that there is strong evidence that the mean yield of oats is different between the two experiments.
Step-by-step explanation:
1: Amelia is organising a game for a charity fête.
She has put 1 orange, 1 pink, 1 green and 2 yellow counters into a bag.
To play, each person will pay £1 and take out a counter at random.
They will then replace the counter and then take a second counter at random.
The person will win £2.50 if both counters are the same colour.
autet
Amelia expects 200 people to play the game.
How much money would Amelia expect to raise for charity?
The amount of money that Amelia is expected to raise is given as follows:
£78.13.
How to obtain the expected amount?The outcomes of a person winning, and their probabilities, as given as follows:
Two orange: 1/4 x 1/4 = 1/16.Two pink: 1/4 x 1/4 = 1/16.Two yellow: 2/4 x 2/4 = 4/16.Hence the probabilities of winning and losing are given as follows:
Winning: 6/16.Losing: 10/16.Then the distribution of earnings for each person is given as follows:
P(X = -1) = 10/16. -> Lose.P(X = 2.5) = 6/16 -> wins.Hence, considering 250 people, the expected amount raised is given as follows:
E(X) = 250/16 x (2.5 x 6 - 1 x 10)
E(X) = £78.13.
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Write a recursive formula for an, the nth term of the sequence 50, -10, 2, ....
a1
an
11
Answer:do homework
Step-by-step explanation:
You (or your parents) purchase a new car for $19,725.00 plus 4.75% sales tax. The down payment is $2,175.00 and you (or your parents) have an average credit rating. How much interest is accrued after the first month?
Answer:
$90.12
Step-by-step explanation:
The principal amount of the loan is ...
(sale price)(1 + sales tax rate) - (down payment)
= $19,725×1.0475 -2175 = $18,486.94
For a secured loan, the APR charged for an average credit rating appears to be 5.85%, so the interest for the first month is
i = Prt = ($18,486.94)(0.0585)(1/12)
i = $90.12
Refrigerator a uses 500 watts per hour when the motor is operating. The motor needs to run an average of 12 hours per day, every day, to stay at a constant, cold temperature. This model of refrigerator lasts an average of 20 years before it needs to be replaced and costs $1,000. Each kwh of electricity costs $0. 12.
To determine the total energy consumption of refrigerator A in a day, we need to first convert the power usage from watts to kilowatts.
500 watts/hour * 1 kilowatt/1000 watts = 0.5 kilowatts/hour
Next, we can calculate the energy consumption in kilowatt-hours (kWh) per day:
0.5 kilowatts/hour * 12 hours/day = 6 kilowatt-hours/day
To find the daily cost of running the refrigerator, we can multiply the energy consumption by the cost per kWh:
6 kWh/day * $0.12/kWh = $0.72/day
To calculate the yearly cost of running the refrigerator, we can multiply the daily cost by 365 days:
$0.72/day * 365 days = $262.80/year
To calculate the total cost of running the refrigerator for 20 years, we can multiply the yearly cost by 20:
$262.80/year * 20 years = $5,256.00
In addition to the cost of running the refrigerator, there is also the cost of purchasing the unit itself. In this case, the cost is $1,000.
Therefore, the total cost of owning and operating Refrigerator A for 20 years is:
$5,256.00 (operating cost) + $1,000.00 (purchase cost) = $6,256.00
It's worth noting that this calculation assumes that the cost of electricity remains constant over the 20-year lifespan of the refrigerator. In reality, the cost of electricity may increase over time, which would increase the overall cost of running the refrigerator.
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Please help:) calculus asking about delta functions
The value of delta such that the statement is true is:
δ = 0.0002
How to find delta?
We want to find δ such that:
if |x -3| < δ, then |5x - 15| < ε
So we have two absolute value inequalities to work with.
With ε = 0.001
If we take the second inequality and replace epsilong, we will get:
|5x - 15| < 0.001
We can take 5 as a common factor on the left side to get:
5*|x - 3| < 0.001
Dividing both sides by 5 gives:
|x - 3| < 0.001/5
|x - 3| < 0.0002
Then the value of delta is 0.0002.
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in a certain test, there is a multiple choice question with the possible answers a, b, c, d, and e. By randomly guessing, the chances of getting the correct answer are stated as "1 in 5."Express the indicated degree of likelihood a a probability value between 0 and 1 inclusive
The width of a rectangle is fixed at 7 cm. Determine (in terms of an inequality) those lengths for which the area will be
less than 175 cm²
The lengths for which the area will be less than 175 cm² are less than 25 cm
How to determine the lengths of the areasFrom the question, we have the following parameters that can be used in our computation:
Width = 7 cm
Area = Less than 175 cm²
The formula of area is represented as
Area = Length * Width
Using the above as a guide, we have the following:
Length * Width < 175
substitute the known values in the above equation, so, we have the following representation
Length * 7 < 175
Divide by 7
Length < 25
Hence, the length is less than 25
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The tool crib is 144 inches. How many 12 inches pieces can you cut from it
Answer:
Step-by-step explanation:
12
144 divided by 12 is 12
Select the correct answer.
Which expression is equivalent to sin (2x) cos x?
The equivalent trigonometric expression to sin(2x)cos(x) is given as follows:
sin(2x)cos(x) = 2sin(x)cos²(x).
How to obtain the equivalent trigonometric expression?The expression for this problem is defined as follows:
sin(2x)cos(x).
The trigonometric identity used to simplify sin(2x) is given as follows:
sin(2x) = 2sin(x)cos(x).
Hence the expression can be written as follows:
sin(2x)cos(x) = 2sin(x)cos(x)cos(x)
sin(2x)cos(x) = 2sin(x)cos²(x).
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Solve -27 19 - 2x.
Enter your responses in the boxes.
-27 19 - 2x
H
-27-
23
-
-www
= -2x
1 = x
19-
-2x
Answer:
Simplifying
-27 = 19 + -2x
Solving
-27 = 19 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-27 + 2x = 19 + -2x + 2x
Combine like terms: -2x + 2x = 0
-27 + 2x = 19 + 0
-27 + 2x = 19
Add '27' to each side of the equation.
-27 + 27 + 2x = 19 + 27
Combine like terms: -27 + 27 = 0
0 + 2x = 19 + 27
2x = 19 + 27
Combine like terms: 19 + 27 = 46
2x = 46
Divide each side by '2'.
x = 23
Simplifying
x = 23
1. Find the semester GPA for the following. Show or explain your work.
Class Credit Hours Grade
MAT 171 4 C
HEA 112 2 A
ENG 111 3 B
ACA 111 1 D
BIO 112 4 A
2. Annie is a junior at a local university. She has 80 credit hours and a GPA of 2.1.
She wants to raise her GPA for a scholarship this semester.
She takes 16 credit hours and makes all A's, earning a 4.0 for this semester.
Annie averages the previous GPA of 2.1 and the current semester GPA of 4.0. She adds 2.1 + 4.0, then divides by 2, obtaining 3.05.
She believes she should now have a GPA of 3.05.
Is her reasoning correct? Justify your answer with 2 - 3 sentences.
Answer:
aiaiiwakkaoajdjsjzjhsjaj
how many groups of 1/2 in a 8
Answer:
Step-by-step explanation:
y=16. There are sixteen 1/2 in 8
PREMISES
y=8/.5
CALCULATIONS
y=8/.5
y=8(2)
y=
16
PROOF
If y=16, then the dependent value D(y) 8/.5 returns
y(.5)=8
Solve for x
2,4, and 6 i need help with
Answer:
2. 56°
4. 56°
For number 6, it is not shown on the photo, sorry!
Step-by-step explanation:
2. The square at the corner means that it is 90°, so 90 - 34 = 56
4. The line is straight, so it means that it is 180°, so 180 - 124 = 56
6) The sides of a triangle are 3x, 2 and 9. If you know that all the sides are whole numbers,
determine the value of x and the third side of the triangle. Is the triangle acute, obtuse, or
right?
The requried two sides are equal, this triangle is an isosceles triangle, which means that two of the angles are equal to 45 degrees or less, and the triangle is acute.
What is the isosceles triangle?A triangle with two sides and two congruent angles is called an isosceles triangle.
To determine the value of x and the third side of the triangle, we need to first ensure that the triangle is a valid triangle, meaning that the sum of the lengths of the two shorter sides must be greater than the length of the longest side.
In this case, the two shorter sides are 2 and 3x, and the longest side is 9. We have,
2 + 3x > 9
Solving for x, we get:
3x > 7
x > 7/3
Since x must be a whole number, the smallest possible value for x that would make the triangle valid is 3. With x = 3, the third side of the triangle would be 3 × 3 = 9, which is equal to the longest side.
Therefore, the triangle has sides 2, 9, and 9.
Since two sides are equal, this triangle is an isosceles triangle, which means that two of the angles are equal to 45 degrees or less, and the triangle is acute.
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What are the answers to these?
The values of the vacant spaces are $3.75, 4 oranges, 10 oranges, $15 and 20 percent of 160 is 32
What are the values?The table can be completed using the following values
If 8 oranges cost $10,
Then 1 orange will cost 10/8 = $1.25
This means that 3 oranges will cost 1.25*3 = $3.75
$5 can buy 8/10*5 = 40/10 = 4 oranges
In the same way, $12.50 will buy 8/10 * 12.50 = 10 Oranges
In the same manner, 12 oranges will cost 1.25*12 = $15
20% of 160 can be calculated as follows
Recall that percentage is a proportion of 100
This implies that 20/100 * 160 = 3200/100 = 32
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Martin gives 40% of £75 to his sister. How much money does Martin give to his sister?
Answer:
Step-by-step explanation:
75 x 0.40= £30
Please hurry!! Write one complete sentence to interpret the solution of the graph below.
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The coordinates of points where the two lines intersect, is the solution of the equations/lines, that is (6, 64)
what is the length of (3,5),(7,3)
Answer:
Step-by-step explanation:
The length of the line segment between two points in a plane can be calculated using the distance formula. Given two points (x1, y1) and (x2, y2), the distance between them is given by the following formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the two points are (3, 5) and (7, 3). Plugging these values into the formula, we get:
d = √((7 - 3)^2 + (3 - 5)^2)
d = √((4^2) + (2^2))
d = √(16 + 4)
d = √20
So, the length of the line segment between the two points (3, 5) and (7, 3) is √20.
What value of x will make the triangles similar by the SSS similarity theorem?
The required value of x is equivalent to 30 units.
What is Similarity?The state of likeness can be referred to as a similarity. When two elements, things, ideas, or people resemble one another, they are said to be similar. Example: In terms of the number of sides, a square and a rectangle are comparable ( four sides for each). The state of being different can be used to define a difference.
According to question:To find the value of x we will use the similarity which corresponding sides of similar triangle are Proportional.
So;
50/x = 75/45
2/x = 3/45
x = 30 units
Thus, required value of x is 30 units.
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Bailey is making festive cookie bags. She tried to split all her cookies evenly by putting 15 per bag, but the last bag had only 14 cookies. So, she tried putting 10 cookies per bag, but the last bag had only 9. Her mom brought 2 more cookies. Now, Bailey tries 9, then 8, cookies per bag, but she can’t do it. Finally, Bailey puts 7 cookies in each bag evenly! What is the least possible total number of cookies?
The least possible total number of cookies are 21.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, Bailey is making festive cookie bags. She tried to split all her cookies evenly by putting 15 per bag, but the last bag had only 14 cookies.
Here, 15+14=29
29 is our first number. Bailey cannot evenly split the cookies into each bag with that amount of cookies, so we must move on to the next number.
Now, 10+9+2=21
21 can be divided 3 times by 7. Now we know the least amount of cookies total, is 21.
Therefore, the total number of cookies are 21.
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ax+bx=c make x subject
Answer:
x=c/(a+b)
Step-by-step explanation:
ax+bx=c
x(a+b)=c
x(a+b)/(a+b)=c/(a+b)
x=c/(a+b)
Answer:
[tex]x=\dfrac{c}{a+b}[/tex]
Step-by-step explanation:
To make x the subject of the equation ax + bx = c, rearrange the equation using algebraic operations to isolate a single x-variable.
Given equation:
[tex]ax + bx = c[/tex]
Factor out x from the left side of the equation:
[tex]x(a+b)=c[/tex]
Divide both sides of the equation by (a + b):
[tex]\dfrac{x(a+b)}{(a+b)}=\dfrac{c}{(a+b)}[/tex]
Simplify:
[tex]x=\dfrac{c}{a+b}[/tex]
which expression is equivalent to 2^3/2^7
Answer:
Below
Step-by-step explanation:
2^3 / 2^7 = 2^(3-7) = 2^(-4) = 1/ (2^4) = 1/16 = .0625
~~~~pick your poison
The required expression [tex]2^3/2^7[/tex], after simplification is equivalent to 1/16.
To simplify the expression [tex]2^3/2^7[/tex], we can apply the rule of exponentiation that states when dividing two numbers with the same base, we subtract the exponents.
In this case, the base is 2.
Using the rule, we subtract the exponent of the denominator from the exponent of the numerator:
[tex]2^3/2^7 = 2^{7} = 2^{-4}[/tex]
The expression [tex]2^{-4}[/tex] can be further simplified by using the rule that states any number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent:
[tex]2^{-4} = 1/2^4[/tex]
= 1/16
Therefore, the expression [tex]2^3/2^7[/tex] is equivalent to 1/16.
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