Answer: 2 x c (variable for the amount paid)
Step-by-step explanation:
If Noah's burrito is just b, and Lin's is 2 x that amount then c (amount) = 2 times the amount of b then the answer is 2 times the amount of c (Noah's price).
three consecutive odd integers have a sum of 51. what is the smallest integer
Answer:
15
Step-by-step explanation:
Let 2n+1 be the first odd integer.
Therefore, the consecutive odd integers will be 2n+3 and 2n+5
If the sum of the consecutive odd integers is 51 then:
⇒ 2n + 1 + 2n + 3 + 2n + 5 = 51
⇒ 6n + 9 = 51
⇒ 6n = 42
⇒ n = 7
To find the values of the integers, substitute the found value of n into the expressions:
First integer: 2(7) + 1 = 15Second integer: 2(7) + 3 = 17Third integer: 2(7) + 5 = 19Therefore, the three consecutive odd integers that sum to 51 are 15, 17 and 19. The smallest of which is 15.
g(x) = 1/4 x + 5
Find x when g(x) = 8
Answer:
\(g(x) = \frac{1}{4} x + 5 = 8 \\ \frac{1}{4} x = 8 - 5 \\ \frac{1}{4}x = 3 \\ x = 3 \times 4 \\ x = 12 \\ thank \: you \)
Answer:
x = 12
Step-by-step explanation:
G(x) = 1/4x +5 Now G(x) is also equal to 8
This means we can set the problems equal to each other since they both equal G(x)
1/4x + 5 = 8 Now we want to isolate the x, so we subtract both sides by 5
1/4x = 3 Now we multiply both sides by 4 to get rid of the fraction (were using reciprocals) (1/4 x 4 = 1 and 3 4 = 12)
x = 12
Which statement is true?
Question 9 options:
A)
|–45| = 45 and |–96| = 96.
B)
–|–45| = 45 and –|–96| = –96.
C)
|–45| = 45 and |–96| = –96.
D)
|–45| = –45 and |–96| = –96.
Answer:
d can be right answer....
A hardware store owner has 1,152 screws. If she wants to put them in packages of 32, how many packages can she make?
ples hurry
i need answer ASAP
Answer:
i think 36
Step-by-step explanation:
1152 / 32= 36
What is the slope of a line perpendicular to the line whose equation is 10x-12y=-24.
The slope of a line perpendicular to the line whose equation is 10x - 12y = -24 is 5/6
Given equation,
10x - 12y = -24
This line's parallel has the same slope as this line. Solve for y to alter the equation in order to calculate the slope.
y = mx + b
Where m is the slope and b is the y-intercept.
From the given equation,
10x - 12y = -24
-12y = -10x - 24
y = -10x/-12 + 24/12
y = 5x/6 + 2
Therefore, m = 5/6
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What is the sum of the interior angles of a 14 sided polygon?
Answer:
2160 degrees
Step-by-step explanation:
The general equation to find the sum of interior angles in a polygon is;
\((n - 2) * 180\)
Where "n" is the sides of the polygon.
Substitute in 14 for "n"
( 14 - 2 ) * 180
Solve;
( 14 - 2 ) * 180
12 * 180
2160
Find a coterminal angle between 0° and 360°.
21) 860°
help
A coterminal angle between 0° and 360° is 140°.
What is a coterminal angle?Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side.
Possible coterminal angles of 860° -
860 - 360 = 500°
500 - 360 = 140°
140 - 180 = -40°
Since, we are asked about a coterminal angle between 0° and 360°, the only angle is 140°.
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An angle is geometric figure that consists of
Answer:
the union of two rays that share a common endpoint.
Step-by-step explanation:
Answer:two rays that share a common end point
Step-by-step explanation:
What is 2/3 ÷ 4/5 = ?
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5 = ⇒ changing division to multiplication by reciprocal of the second fraction2/3 × 5/4 = ⇒ simplify and multiply numerators and denominators5/6 ⇒ here is the answerIf a transversal crosses three non-parallel lines, how many pairs of vertical angles are formed? Explain your answer
Answer: Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)
Step-by-step explanation:
Simple Answer: Six pairs of vertical angles are formed, two for each line crossed by the transversal.
(●'◡'●) ^_^
each morning, danai buys breakfast on her why to work. In the past thirty days, she bought a bagel on 6 days, a banana on 12 days, a doughnut on 3 days, and an orange on 9 days. If she bought one item per day, what is the probability that she bought either a banana or an orange? Show or explain your work and write you answer in the space provided.
Answer:
0.7 or 70%Step-by-step explanation:
Total number of days
6 + 12 + 3 + 9 = 30The number of days she bought a banana or orange
12 + 9 = 21The probability of buying a banana or an orange is
P(b or o) = 21/30 = 0.7 = 70%Answer:
\(\sf \dfrac{7}{10}=0.7=70\%\)
Step-by-step explanation:
Given information:
Bagel bought on 6 daysBanana bought on 12 daysDoughnut bough on 3 daysOrange bought on 9 daysTotal number of days = 30
Probability Formula
\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)
Probability of buying a banana:
\(\implies \sf P(Banana)=\dfrac{12}{30}\)
Probability of buying an orange:
\(\implies \sf P(Orange)=\dfrac{9}{30}\)
Therefore,
\(\implies \sf P(Banana) \: or \: P(Orange)=\sf \dfrac{12}{30}+\dfrac{9}{30}=\dfrac{21}{30}=\dfrac{7}{10}\)
So the probability of buying either a banana or an orange is:
\(\sf \dfrac{7}{10}=0.7=70\%\)
There are 59 students going on a field trip if costs 2$ no taxes how much money does it cost for all the students to go to the field trip
Answer:
$118
Step-by-step explanation:
If there are 59 students going on the field trip, and the cost is $2 per student, then the total cost for all the students to go on the field trip would be:
Total cost = Number of students × Cost per student
Total cost = 59 × $2
Total cost = $118
It would cost $118 in total for all 59 students to go on the field trip, assuming there are no taxes or additional fees involved.
are lines y=3+5x and y=5x-1 parallel perpendicular or neither
Answer:
Step-by-step explanation:
y=mx+b is the standard form
m= slope
If the slopes are the same they are parallel
If the slopes are Opposite signed and reciprocals, then they are perpendicular
both of the slopes are 5, so the lines are parallel
how to find the area of a quadrilateral with coordinates
To find the area of a quadrilateral with given coordinates, you can use the Shoelace Formula.
The Shoelace Formula, also known as Gauss's area formula, provides a method to calculate the area of any polygon given its coordinates. Here's how it works for a quadrilateral:
Let's say you have the coordinates of the four vertices of the quadrilateral: (x1, y1), (x2, y2), (x3, y3), and (x4, y4).
1. Write down the coordinates in a clockwise order:
(x1, y1), (x2, y2), (x3, y3), (x4, y4), (x1, y1).
2. Multiply each x-coordinate by the y-coordinate of the next vertex.
For example, for the first vertex (x1, y1), multiply x1 by y2, and for the second vertex (x2, y2), multiply x2 by y3, and so on.
3. Multiply each y-coordinate by the x-coordinate of the next vertex.
For example, for the first vertex (x1, y1), multiply y1 by x2, and for the second vertex (x2, y2), multiply y2 by x3, and so on.
4. Add up all the results from Steps 2 and 3.
5. Take the absolute value of the sum calculated in Step 4 and divide it by 2.
By following the steps of the Shoelace Formula, you can calculate the area of a quadrilateral given its coordinates. Remember to ensure that the coordinates are listed in a clockwise or counterclockwise order to obtain the correct result. This method can be applied to any quadrilateral shape and provides an efficient way to find its area without requiring complex calculations or trigonometric functions.
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Required information In a sample of 100 steel canisters, the mean wall thickness was 8.1 mm with a standard deviation of 0.6 mm. Find a 95% lower confidence bound for the mean wall thickness. (Round the final answer to three decimal places.) The 95% lower confidence bound is Someone says that the mean thickness is less than 8.2 mm. With what level of confidence can this statement be made? (Express the final answer as a percent and round to two decimal places.) The level of confidence is %.
The lower bound of the 95% confidence interval is given as follows:
7.981 mm.
The level of confidence of the statement is of 95%.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
The variables of the equation are listed as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 100 - 1 = 99 df, is t = 1.9842.
The parameters for this problem are given as follows:
\(\overline{x} = 8.1, s = 0.6, n = 100\)
Hence the lower bound of the interval is given as follows:
8.1 - 1.9842 x 0.6/10 = 7.981 mm.
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Upload answer sheets Consider the relation schema RAB.CDE) with the following functional dupandencies FAB-SC DE AB-SE ESC) Compute the candidate toy for the given relation . Compute the minimal cover of F.
The correct answer is the minimal cover of F is:F = {AB→C, AB→S, AB→E, ES→S}
Given, relation schema R(ABC,DE) with functional dependencies F:AB→SCDE→ABAB→SEES→C.
The candidate key of a relation R is a minimal set of attributes that can uniquely identify each tuple in R. To find the candidate key, we can compute the closure of each subset of attributes in R. Let's begin by finding the closure of AB, the subset of R. We can use the functional dependency AB→SC to compute the closure of AB as follows: AB+ = ABSC (by AB→SC)
Next, let's compute the closure of DE, the other subset of R. We can use the functional dependency DE→AB to compute the closure of DE as follows: DE+ = DEABSE (by DE→AB and AB→SE)
Now we have two potential candidate keys, AB and DEABSE. However, we need to check if they are minimal. To do this, we check if any subset of these candidate keys can also function as a candidate key. We can see that neither AB nor DEABSE has any proper subset that can function as a candidate key.
Therefore, both AB and DEABSE are candidate keys for the relation R. Next, let's compute the minimal cover of F. The minimal cover of a set of functional dependencies F is a minimal set of functional dependencies that is equivalent to F.
To find the minimal cover of F, we can use the following steps:
Step 1: Eliminate redundant dependencies. We can eliminate the dependency AB→SC since it is implied by AB→C.
Step 2: Decompose dependencies. We can decompose the dependency AB→SE into two dependencies, AB→S and AB→E, since S and E are not a subset of any other attribute set in F.
Step 3: Eliminate extraneous attributes. We can eliminate the attribute C from the dependency ES→C since C is already determined by AB→C.
Therefore, the minimal cover of F is:F = {AB→C, AB→S, AB→E, ES→S}
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A lock requires a 3 number combination using the numbers 0 through 9, none of which may be repeated. How many outcomes are possible?
48
720
12010
Answer:
720
Step-by-step explanation:
The lock requires that repetition is not allowed.
The possibles numbers are 0 - 9, that is, 10 digits.
The first number in the combination can be picked from the 10 digits.
This means that there are 10 possible choices.
The second number in the combination can now only be picked from 9 digits.
This means that there are 9 possible choices.
The third number in the combination can now only be picked from 8 digits.
This means that there are 8 possible choices.
Therefore, the number of possible outcomes in the combination is:
10 * 9 * 8 = 720 outcomes
please help me and thank you.
Answer:
\(482.5\:\mathrm{in^2}\)
Step-by-step explanation:
The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.
Area of the rectangle: \(25\cdot 20=500\:\mathrm{in^2}\)
Area of the triangle: \(\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}\)
Thus, the area of the figure is \(500-17.5=\boxed{482.5\:\mathrm{in^2}}\)
Mel slides down waterslide A,
and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in
the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and
after 4 seconds, he was 50 feet in the air. Who was descending at a
faster rate?
Mel: (2, 50) and (5, 35)
Victor: (1, 60) and (4, 50)
Mel's rate of change is
second.
That means that her height in the air decreases
feet every
Victor's rate of change is
second.
That means that his height in the air decreases _
feet every
DONE
Intro
0 000
Answer:
Step-by-step explanation:
answer:
Mel was descending at a faster rate
Mel's rate of change is negative. That means that your height in the air decreases 5 feet every second.
Victor's rate of change is negative. That means that his height in the air decreases 3.33 feet every second.
Answer:
Mel (2, 50) and (5, 35)Victor (1, 60) and (4, 50)
Step-by-step explanation:
Edge 2020.
14. Olivia is considering membership to the Regional Teachers' Credit Union so
that she can save money on a loan. The credit union will lend her $8,000 for 3
years at 2.25% APR. The same loan at her savings bank has an APR of
2.9%. How much would Olivia save in finance charges if she joined the credit
union and took out her loan there? Round to the nearest ten dollars.
The amount hat Olivia would save in finance charges if she joined the credit union is $156.
How much would Olivia save?Finance charges are a form of compensation that is paid by the borrower to the lender for use of his or her funds. The finance charge is usually equivalent to the interest that would be paid on the loan.
The interest that would be paid on the loan would be determined using the simple interest formula. The interest paid is a function of the amount borrowed, the interest rate and the duration of the loan.
The APR represents the annual percentage rate. The higher the APR is, the higher the interest that would be paid on the loan. Thus, all things being equal, it is expected that the loan taken at 2.9 APR would be higher than the loan taken at 2.25% APR.
Interest paid = principal x APR x time
Interest paid if she borrows at 2.25% : 8,000 x 3 x 0.0225 = $540
Interest paid if she borrows at 2.9% : 8,000 x 3 x 0.029 = $696
The difference in interest that would be paid : $696 - $540 = $156
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Answer: she saves about 80 bucks (because round)
Step-by-step explanation:
Step 1: Calculate her monthly payments using the monthly payment formula: P * r * (1 + r)^t / ((1 + r)^t - 1)
P = Principal ($8000)
r = Rate or APR
t = Time or Number of Months (3 years or 36 months in this case)
Credit Union: M = ($8000(.0225/12)(1+.0225/12)^36)/((1+.0225/12)^36-1) = $230.01
Savings Bank: M = ($8000(.029/12)(1+.029/12)^36)/((1+.029/12)^36-1) = $232.29
Step 2: Find the finance charge by multiplying your monthly payment with interest by the time in months, and subtracting your principal from that value:
Credit Union: ($230.01 x 36) - $8000 = $280.36
Savings Bank: ($232.29 x 36) - $8000 = $362.44
Step 3: Find how much she would save in finance charges compared to her other option. Subtract to find the difference:
$362.44 - $280.36 = $82.08
Step 4: Round to the nearest ten dollars:
$80.00
Olivia would save about $80 in finance charges if she loaned from the credit union instead her savings bank.
Help pls and no links
Answer:
The answer is A. 4+y^2/2y^2
Daniel works at nearby electronics store he makes commissions of 15% on everything he sells if he sells a laptop for $293.00 how much money does Daniel make in a commission
Answer:
Step-by-step explanation:
15% = 15/100
293.00 * 15/100 = Daniel's commission
Daniel's commission = 4395 / 100
Daniel's commission = 43.95
How many sides does a rectangular pyramid
Answer:
Step-by-step explanation:
A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.
≧◉◡◉≦
NEED HELP ASAP PLEASE HELP ME
Answer: (1.7, 3.1)
Step-by-step explanation:
As an estimate, the x-coordinate does not lie perfectly on 1 or 2. So we have to read in between.
Is it closer to 1 or 2? Ask yourself.
It's closer to 2. Our x is now 1.7.
As a second estimate, the y-coordinate does not lie perfectly on 3, but just above the 3.
Our y is now 3.1.
Also: do you own a graphing calculator?
Go to y = and put in the equation they gave you.
y = -1/2x + 4 and see which choice lies on the line in the "table" option.
I have a Texas Instruments (TI-84) Graphing Calculator, and this is how I would have approached it.
Why are Cells Important
Answer:
Cells are the basic building blocks of all living things. The human body is composed of trillions of cells. They provide structure for the body, take in nutrients from food, convert those nutrients into energy, and carry out specialized functions.
Step-by-step explanation:
Hopes this help.
3. One gram of protein contains 7 calories and one gram of fat contains 9 calories. If a cheeseburger has a total of 500 calories and has 9 grams of protein, write an equation that can be used to find the number of grams of fat in the cheeseburger.
Solve the following 0-1 integer programming model problem by implicit enumeration.
Maximize 2x1 −x 2 −x 3
Subject to
2x 1 +3x 2 −x 3 ≤4
2x 2 +x 3 ≥2
3x 1 +3x 2 +3x 3 ≥6
x 1 ,x 2 ,x 3 ∈{0,1}
The given problem is a 0-1 integer programming problem, which involves finding the maximum value of a linear objective function subject to a set of linear constraints, with the additional requirement that the decision variables must take binary values (0 or 1).
To solve this problem by implicit enumeration, we systematically evaluate all possible combinations of values for the decision variables and check if they satisfy the constraints. The objective function is then evaluated for each feasible solution, and the maximum value is determined.
In this case, there are three decision variables: x1, x2, and x3. Each variable can take a value of either 0 or 1. We need to evaluate the objective function 2x1 - x2 - x3 for each feasible solution that satisfies the given constraints.
By systematically evaluating all possible combinations, checking the feasibility of each solution, and calculating the objective function, we can determine the solution that maximizes the objective function value.
The explanation of the solution process, including the enumeration of feasible solutions and the calculation of the objective function, can be done using a table or a step-by-step analysis of each combination.
This process would involve substituting the values of the decision variables into the constraints and evaluating the objective function. The maximum value obtained from the feasible solutions will be the optimal solution to the problem.
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True or False: In a pooled sample proportion, two samples are combined to estimate this single p instead of estimating p1 and p2 separately.
The pooled sample proportion requires two samples combined to estimate the single p instead of estimating p1 and p2 separately. Therefore, it's true.
What is a pooled sample?It should be noted that the pooled sample of a proportion is the weighted average of the proportion from the two samples.
In this case, the combined pool sample is called the poooled sample proportion and it's used in expression of the standard error.
In conclusion, the correct option is true.
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PLEASE HELP ANSWER THESE FAST, will give brainliest and 100 points
Step-by-step explanation:
11.
x is sin(60) in a circle with radius of 8.
x = sin(60)×8 = 6.92820323... ≈ 6.9
12.
x is sin(30) in a circle with radius "diagonal length".
6 is cos(30) in the same circle.
6 = cos(30)×r
r = 6/cos(30) = 6.92820323...
x = sin(30)×r = 3.464101615... ≈ 3.5
13.
similar to 12.
but we refer to the angle at the bottom right vertex.
remember, the sum of all angles in a triangle is always 180°.
so, the angle over there at the right is
180 - 90 - 68 = 22°
x = sin(22)×r
25 = cos(22)×r
r = 25/cos(22) = 26.96336857...
x = sin(22)×r = 10.10065565... ≈ 10.1
14.
9 is the sine of the complementary angle of 49 in a circle with radius x.
the complementary angle is the angle that adds up with the original angle to 90° and is therefore
90 - 49 = 41°
9 = sin(41)×x
x = 9/sin(41) = 13.71827778... ≈ 13.7
18.
we use the extended Pythagoras :
c² = a² + b² - 2ab×cos(C)
with c being the side opposite of the angle C.
so we have
LK² = 16² + 24² - 2×16×24×cos(29) =
= 256 + 576 - 768×cos(29) =
= 832 - 671.7079351... = 160.2920649...
LK = 12.66065026... ≈ 12.7
19.
law of sine
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being always opposite to the corresponding angles.
to find the angle at H we need to find the angle at G first, because we don't know GF yet.
so,
28/sin(76) = 18/sin(G)
sin(G) = 18×sin(76)/28 = 0.623761538...
G = 38.59134528...°
remember the 180° rule in triangles.
H = 180 - 76 - G = 65.40865472...° ≈ 65.4°
20.
GF is now calculated using the law of sine again.
28/sin(76) = GF/sin(H)
GF = 28×sin(H)/sin(76) = 26.23980579... ≈ 26.2
Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0).
The points on the ellipse 5x² + y² = 5 that are farthest away from (1, 0) are (-0.25, ±√4.6875).
The square of the distance from a point on the ellipse to the point (1, 0) is ...
d^2 = (x -1)^2 +y^2
Using the equation of the ellipse to write an expression for y^2, we have ...
d^2 = (x -1)^2 +5 -5x^2
d^2 = -4x^2 -2x +6
The expression on the right is that of a downward-opening parabola with ...
a = -4, b = -2, c = 6
The maximum is located at ...
x = -b/(2a) = -(-2)/(2(-4)) = -1/4
The value of y there is ...
y^2 = 5 -5(-1/4)^2 = 4 11/16
y = √4.6875
Hence the points on the ellipse farthest from (1, 0) are (-0.25,±√4.6875).
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