Answer:
y= 5.99(g) + 6.49(u)
Step-by-step explanation:
1) First you determine the variable in the equation $5.99, $6.49, g, and u.
2) Then analyze the equation and identify that each gold baseball trophy (g) is worth $5.99, and each uniform baseball trophy (u) is worth $6.49 each.
3) Since you are finding the total you insert a plus sign.
The expression that could represent the total cost of all of the trophies will be C = 5.99g + 6.49u
Cost of gold baseball trophies = $5.99
Cost of uniform baseball trophies = $6.49
Number of gold baseball trophies ordered = g
Number of uniform baseball trophies ordered = u
Therefore, the total cost will be:
= (5.99 × g) + (6.49 × u)
C = 5.99g + 6.49u
Therefore, the expression that could represent the total cost of all of the trophies is C = 5.99g + 6.49u
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value of tan(90 - cot^-1(1/3))
Answer:
0.36
Step-by-step explanation:
We need to solve the first bracket first and then the others,
Value of Cos^ - 1(1/3) =70.53°
Then, 90 - the value of cosine
=19.47°
Then, put the new in the calculator:
Tan (19.47°)
and the answer comes 0.3535294237
then I use the nearest formula and got the answer = 0.36
Please help e it’s from my math class
Answer:
a - 1/2
Step-by-step explanation:
there are 3 even and 3 odd numbers so the probability is half of them
4
*
The moon is 250,000 miles away. How many inches is it away from earth?
Answer:
about 15 billion
Step-by-step explanation:
Please help dood pls
Answer:
[tex]\Large \boxed{\mathrm{\bold{B.} } \ x=7, \ y = 4\sqrt{2} }[/tex]
Step-by-step explanation:
We can split the shape into a right triangle and a rectangle.
tan θ = opp/adj
Let c be the missing base for the right triangle.
tan45 = 4/c
c = 4/tan45
c = 4
x = 3 + 4
x = 7
sin θ = opp/hyp
sin45 = 4/y
y = 4/sin45
y = [tex]4\sqrt{2}[/tex]
3. Michael goes on a Camel Safari in Africa.
He travels 5 km north, then 4 km east, and
then 5 km south.
Distance:
Displacement:
Answers:
Distance = 14 km
Displacement = 4 km east
==============================================
Explanation:
The total distance is simply the sum of the values given. So he traveled a total of 5+4+5 = 9+5 = 14 km overall.
----------------------
The displacement is where a drawing may come in handy. Draw an xy axis. Place point A at the origin (0,0). This is where Michael starts his trip. Then move up to (0,5) to indicate he goes 5 km north. Call this point B.
Afterward, mark point C at (4,5) to show he has gone 4 km east. Finally, point D is at (4,0) because he went 5 km south
The displacement is only concerned with two points: The start and end point. Nothing else matters. We started at A(0,0) and ended at D(4,0). So we've gone 4 km east overall. The direction is important when it comes to displacement. Simply saying "4 km" isn't enough. So in a sense, we could take a shortcut from A directly to D, bypassing the other points B and C.
See the diagram below for a visual.
Find the slope and y-intercept (if possible) of the equation of the line. 14x − 6y = 66
Answer:
The slope would be 7/3
The y-intercept would be -11
Step-by-step explanation:
To find the answer rearrange your equation.
First subtract 14x from both sides, getting -6y= -14x + 66.
Then divide both sides by -6, getting y= 7/3x -11
This is now written in y=mx+b form. Your m is your slope and b is the y intercept!
Simplify 8√63x^14y^9
Answer:
See step by step
Step-by-step explanation:
There are 11 reams of paper in a case. How many total reams of paper are in 12 cases?
add. 4x² – 5xy + 3y?, 8x + 7xy - 6y?, -2x? - 9xy + 13y
Answer:
0x²-7xy+10y²
Step-by-step explanation:
4x²-5xy+3y² + 8x²+7xy-6y²
4x²+8x²-5xy+7xy+3y²-6y²
=12x²+2xy-3y²
12x²-5xy+3y² + -2x²-9xy+13y²
12x²-5xy+3y² - 2x²-9xy+13y²
12x²-2x²-5xy-9xy+3y²+13y²
= 10x²-7xy+10y²
Hoped I helped
Spencer sampled 50 students of a private school who were questioned about their scores in Mathematics. Spencer wants to test the hypothesis that the private school students score better than the general public which has an average of 62 marks with a population standard deviation of 7 marks. Z= If the sample mean is 65 marks, what is the z-score? Answers are rounded to the hundredths place.
a.) -3.84
b.) 1.56
c.) 3.03
d.) -2.56
Answer:
C) 3.03
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 50
The Mean of the population (μ) = 62
The standard deviation of the Population (σ) = 7
Mean of the sample(x⁻) = 65
Z-score
[tex]Z= \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
Step(ii):-
[tex]Z= \frac{65 -62}{\frac{7}{\sqrt{50} } }[/tex]
Z = 3.03
Final answer:-
The Z-score = 3.03
You have two recipes that together use a pound of butter. One recipe takes a 1/4 pound more than the other one. How much butter does each recipe use?
Answer:
First recipe needs = 3/8
Second recipe needs = 5/8
Step-by-step explanation:
Given:
Two recipes needs butter = 1 pound
One recipe needs 1/4 pound more
Find:
Each recipe needs butter
Computation:
Assume;
First recipe needs = x
Second recipe needs = x + (1/4)
Two recipes needs butter = First recipe needs + Second recipe needs
x + x + (1/4) = 1
2 x = 1 - (1/4)
2 x = 3/4
x = 3/8 pound
First recipe needs = 3/8
Second recipe needs = x + (1/4) = (3/8) + (1/4) = 5/8
Second recipe needs = 5/8
“Simplify the following expression by combining like terms. 5x-y-3x+10+x+2y
Answer:
3x+10+y
Step-by-step explanation:
5x-y-3x+10+x+2y
5x-3x+x+10-y+2y
3x+10+y
Answer:
3x+y+10
Step-by-step explanation:
Since we are trying to combine like terms, we must rearrange the terms, and group the terms with an x, together, a y together, and the constants. Doing that, we get
(5x+x-3x)+(2y-y)+10
Now we start with the x terms, and we add 5x+x=6x and then 6x-3x= 3x, so you have 3x, and now for the y terms
we have 2y-y=y and lastly we have a ten, so adding them together, we get
3x+y+10
If log.. (125) = 3, then x =
At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes? If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?
Answer:
What is the cost of a chicken shawarma wrap?
$10.99
What is the cost of one order of spiced potatoes?
$4.99
If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?
3x + 2y = $42.95..........Eq 1
5x + 4y = $74.91..........Eq 2
Step-by-step explanation:
Cost of a chicken sharwarma wrap = a
Cost of an order of spiced potatoes = b
Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.
3x + 2y = $42.95 .............Equation 1
Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.
5x + 4y = $74.91 ................Equation 2
So we have:
3x + 2y = $42.95..........Eq 1
5x + 4y = $74.91..........Eq 2
We use Elimination method
Multiply Equation 1 by coefficient of y in Equation 2
Equation 2 by coefficient of y in Equation 1
3x + 2t= $42.95 .............Equation 1 × 4
5x + 4y = $74.91 ................Equation 2 × 2
12x + 8y = 171.80..............Equation 3
10x + 8y = 149.82..............Equation 4
Subtract Equation 3 from Equation 4
2x = 21.98
x = 21.98/2
x = 10.99
Therefore, x = Cost of Chicken sharwarma wrap = $10.99
Subtitute 10.99 for 9in Equation 1
3x + 2y = $42.95 .............Equation 1
3(10.99) + 2y = 42.95
32.97 + 2y = 42.95
2y = 42.95 - 32.97
2y = 9.98
y = 9.98/2
y = 4.99
y = Cost of an order of spiced potatoes = $4.99
Hence,
The cost of a chicken sharwarma wrap = $10.99
The cost of an order of spiced potatoes = $4.99
Erin is considering joining one of 2 clubs. Club A has no registration fee, but charges $105 per month. Club B charges members $80 per month plus a one-time registration fee of $375. For how many months is club A the cheaper option? Use system of equations
Answer:
4 months
Step-by-step explanation:
Club A
registration fee: $0
monthly fee: $105
After every month, the total cost increases by $105.
month 0: $0
month 1: $105
month 2: $210
month 3: $315
month 4: $420
month 5: $525
month 6: $630
Club B
registration fee: $375
monthly fee: $80
Notice how Club B's total reaches Club A's total after 2 months.
month 0: $375
month 1: $455
month 2: $535
month 3: $615
month 4: $695
what is the percentage of the total variation in candy bar sales explained by the regression model? a. 78.39% b. 88.54% c. 100% d. 48.19%
Complete question :
A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:
City - - - - - - - Price ($) -- - Sales
River City - - 1.30 - - - - - - 100
Hudson - - - 1.60 - - - - - 90
Ellsworth - - - 1.80 - - - - - 90
Prescott - - - - 2.00 - - - - 40
Rock Elm - - 2.40 - - 38
Stillwater - - 2.90 - - 32
Answer:
78.39%
Step-by-step explanation:
Given the data :
Price (X) :
1.30
1.60
1.80
2.00
2.40
2.90
Sales (y) :
100
90
90
40
38
32
The percentage of the total variation in candy bar sales explained by the regression model can be obtained from the value of the Coefficient of determination(R^2) of the regression model. The Coefficient of determination is a value which ranges between 0 - 1 and gives the proportion of variation in the dependent variable which can be explained by the dependent variable.
R^2 value is obtained by getting the squared value of R(correlation Coefficient).
The R value obtained using the online R value calculator on the data is : - 0.8854
Hence, R^2 = (-0.8854)^2 = 0.7839
Expressing 0.7839 as a percentage ;
0.7839 × 100 = 78.39%
Item 1 Evaluate. 1 1 3 +2 2 5 3 3 8 2 11 15 3 11 15 3 11 30
Answer:
add the expressions 832
Which of the following factors influences a consumer when deciding to buy a
product?
A. Opinion factor
B. Multiple factor
C. Stock market
D. External factor
The factor that influences a consumer when deciding to buy a product is D. External factor.
Who is a consumer?A consumer is a person or group who intends to order or uses purchased goods, products, or services primarily for personal, social, family, or household needs and is not directly involved in entrepreneurial or business activities.
Consumers consider a variety of factors, including the product's characteristics, the price charged, the product's availability at the required location, and much more. Personal factors include the consumer's age, occupation, lifestyle, social and economic status, and gender.
External factors such as the market economy, culture, social values, fashion, and corporate policies for consumers all have a large impact on consumer perceptions, attitudes, and behavior.
External factors may include family and friend expectations, cultural or gender stereotypes, and family responsibilities. These factors can have an impact on decision-making, either positively or negatively.
Therefore, based on the information illustrated, the correct option is D.
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Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Which measurement is closest to the side length of this canvas in inches? 8 in. 9 in. 19 in. 39 in. say the number and tell me why you got it.
Answer:
9 inStep-by-step explanation:
Since the square canvas was completely covered using 77.8 in.² of fabric without any overlap, to get the side length of the canvas, we will use the formula for calculating the area of a square.
Area of a square = Length * Length
A = L*L
A = L²
Given the Area of the area of the square canvas as 77.8 in², on substituting this values into the formula to get L we have;
77.8 = L²
Take the square root of both sides
√77.8 = √L²
L = √77.8
L = 8.82 in
L ≈ 9inches
The length 8.82in gotten was approximated to 9in because the first value after the decimal point is greater that 4 and once we have such case 1 will be added to the value before the decimal point i.e 8 to make it 9.
Hence measurement that is closest to the side length of this canvas in inches is 9inches.
Identify the correlation you would expect to see between the average amount of snowfall (inches) and the number of school closings.
Answer:
Simple Linear Regression Correlation
Step-by-step explanation:
When it snows normally the schools continue .But constant snowing affects the schools continuity. As more and more snow falls more schools are closed.
There may be a situation where all the schools are closed at a certain temperature.
So it is a simple linear regression correlation because in it there are two variables and one variable is dependent on the other. In this example the schools are dependent on the average snowfall.
If there's a snow blizzard or extreme weather all the schools are definitely closed .
It can be represented by a graph.
A fair die is rolled 72 times and the percentage of 6s is recorded. What is the probability that at most 10% of the rolls are 6s
Answer:
P ([tex]\hat p[/tex] ≤ 0.10)
Step-by-step explanation:
The probability in terms of statistics for this given problem can be written as follows.
Let consider X to the random variable that represents the number of 6's in 7 throws of a dice, then:
X [tex]\sim[/tex]Bin ( n = 72, p = 0.167)
E(X) = np
E(X) = 72× 0.167
E(X) = 12.024
E(X) [tex]\simeq[/tex] 12
p+q =1
q = 1 - p
q = 1 - 0.167
q = 0.833
V(X) = npq
V(X) = 72 × 0.167 × 0.833
V(X) = 10.02
V(X) [tex]\simeq[/tex] 10
∴ X [tex]\sim[/tex] N ([tex]\mu = 12, \sigma^2 =10[/tex])
⇒ [tex]\hat p = \dfrac{X}{n} \sim N ( p, \dfrac{pq}{n})[/tex]
where p = 0.167 and [tex]\dfrac{pq}{n}[/tex] = [tex]\dfrac{0.167 \times 0.833}{72}[/tex] = 0.00193
∴ P(at most 10% of rolls are 6's)
i.e
P ([tex]\hat p[/tex] ≤ 0.10)
Why is 1 a factor of every number
Answer:
because 1 is the smallest factor of a multiple and greatest factor of a multiple is the multiple itself
Step-by-step explanation:
hope that help and u can understand it :\
The electrical resistance of a wire, R, varies directly as its length, L, and inversely as its cross sectional area, A. If the resistance of a wire is 0.08 ohm when the length is 100 ft and its cross-sectional area is 0.05 in^2 , what is the resistance of a wire whose length is 4000 ft with a cross-sectional area of 0.02in^2 ? a) Write the variation equation. (R=k(l/a) b) Determine the value of the quantity indicated.
Answer:
see below
Step-by-step explanation:
a R=k(L/A)
Substitute what we know into the equation
.08 = k (100/.05)
.08 = k 2000
Divide each side by 2000
.08/2000 = k
.00004 = k
R=.00004 (L/A)
b R=.00004 (L/A)
We know L = 4000 and A = .02
R=.00004 (4000/.02)
R = 8
(3/5) divided by 4
please help !!!
Answer:
3/20
Step-by-step explanation:
3/5 ÷ 4
Copy dot flip
3/5 * 1/4
3/20
At the grocery store, Mr. Abroms saw eggplants that cost $1.79 each, apples that cost $0.59 each, bags of spinach that cost $2.55 each, and cartons of orange juice that cost $3.89 each. Which of these statements below are true? Choose the three correct answers.
Answer:
Option 1, 3 and 5 are correct
Step-by-step explanation:
Given
Eggplants = $1.79 each
Apples = $0.59 each,
Bags of spinach = $2.55 each
Cartons of orange juice = $3.89 each
Required
Select three true statements
To do this, we'll check the options one after the other
1. 4 eggplants cost about $0.50 less than 3 bags of spinach
First, we need to calculate the cost of 4 eggplants
4 Eggplants = 4 * 1 Eggplants
4 Eggplants = 4 * $1.79
4 Eggplants = $7.16
Next, we calculate the cost of 3 bags of Spinach
3 bags of Spinach = 3 * 1 bag of Spinach
3 bags of Spinach = 3 * $2.55
3 bags of Spinach = $7.65
Determine the difference
Difference = |Eggplants - Bags of Spinach|
Difference = |$7.16 - $7.65|
Difference = |-$0.49|
Difference = $0.49
This statement is true because $0.49 approximates to $0.50
2. Total cost of 4 apples and 2 eggplants $0.50 is more than $6.00
First, we need to calculate the cost of 4 apples
4 Apples = 4 * 1 Apples
4 Apples = 4 * $0.59
4 Apples = $2.36
Next, we calculate the cost of 2 Eggplants
2 Eggplants = 2 * 1 Eggplant
2 Eggplants = 2 * $1.79
2 Eggplants = $3.58
Add this two results together
Total = 4 Apples + 2 Eggplants
Total = $2.36 + $3.58
Total = $5.94
This statement is false because the sum is less than $6.00
3. Total cost of 4 eggplants, 4 apples and 1 carton of orange juice is $13.41
In (1) & (2) above
4 Eggplants = $7.16
4 Apples = $2.36
1 carton of orange juice = $3.89
Add the above together
Total = $7.16 + $2.36 + $3.89
Total = $13.41
This statement is true because the sum is $13.41
4. Total cost of 5 eggplants is greater than cost of 4 bags of spinach
First, we need to calculate the cost of 5 eggplants
5 Eggplants = 5 * 1 Eggplants
5 Eggplants = 5 * $1.79
5 Eggplants = $8.95
Next, we calculate the cost of 4 bags of Spinach
4 bags of Spinach = 4 * 1 bag of Spinach
4 bags of Spinach = 4 * $2.55
4 bags of Spinach = $10.20
This statement is false because 4 Eggplants costs less than $ bags of spinach
5. Total cost of 2 eggplants, 2 apples and 2 cartons of orange juice is $9.99 more than cost of 1 bag of spinach
From (2) above
2 Eggplants = $3.58
Next, we need to calculate the cost of 2 apples
2 Apples = 2 * 1 Apples
2 Apples = 2 * $0.59
2 Apples = $1.18
Next, we need to calculate the cost of 2 cartons of orange juice
2 Cartons = 2 * 1 Carton
2 Apples = 2 * $3.89
2 Apples = $7.78
Sum these up
Total = $3.58 + $1.18 + $7.78
Total = $12.54
1 Bag of spinach = $2.55 each
Subtract 1 Bag of spinach from the $12.54
Difference = $12.54 - $2.55
Difference = $9.99
This statement is true because the difference is $9.99
PLEASE ANSWER I REALLY NEED AND PEOPLE DONT ANSWER :(
1: identify the terms, coefficients, and constants in the expression 14x + 19.
Answer:
term=14x+19
cofficient=14+19
constant=19
Answer:
Terms :
14x , 19
Coefficients:
14
Constants:
19
Hope it helps.
Simplify. (-2xy4)^4
Step-by-step explanation:
[tex] {( - 2x {y}^{4} })^{4} [/tex]
[tex] = {( - 2)}^{4} \times {x}^{4} \times { {y}^{4} }^{4} [/tex]
[tex] = 16 {x}^{4} {y}^{16} [/tex]
What is 5x times (3x2 - 5)?
3x2 + 5x -5
A
B 15x2-5
с
15x3 - 5
15x3 - 25x
Answer:
15x3-25x
Step-by-step explanation:
5x(3x2 -5)
step1: distribute 5x to both sides
Step 2: 3x2 would change into 15x3 (because you're multiplying by 5x)
Step3: -5 would turn into -25x (because you are multiplying by 5x also)
Step4: put both answers together and your end product would be (15x3 - 25x)
Answer:
15x3-25x
Step-by-step explanation:
Express (1+i)²-3(2-i)³ in the from of a+ib
[tex](1+i)^2-3(2-i)^3=1+2i-1-3(8-12i-6+i)=2i-6+33i=\boxed{-6+35i}[/tex].
Hope this helps.
4(3 • 2) + (8 – 3)2 – 62 + 3 • 9 - 23 + 1
Answer:
-23
Step-by-step explanation: