Answer:
58 degreess
3x+11=4x-5
-3x -3x
11=x-5
+5 +5
16=x
x=6
3(6)+11
18+11
29
29*2
58
Step-by-step explanation:
on a certain day the community took 82 people on whale watching trips there were 54 children ages 12 and under of which some children were under 3 years if x represents the number of children under 3 years which equation can be used to find the value of x where C represents the total amount of money collected from tickets that day
Info given
We have a total of people given (82). We also know that we have 54 children of under 12 years and under some children were under 3 years
We define x as the number of children under 3 years.
We want to find C for the total cost. We don't have the unitary prices but we can assume it as C1 (over 3 and lower than 12) and C2(adults) for children and adults.
Solution:
\(C=C_1(54-x)+C_2(82-54)\)With C the total amount collected and C1 and C2 described above.
What is the value of y?
Thank you :)
Answer:
60 is the ans hope it may help u
bcz 30 + 90 + y = 180 120 +y =180 , y = 180 -120 = 60
Answer:
30+y+90= 180
120+y=180
y=60
Step-by-step explanation:
i need help with (-2.3) * 4.7
(-2.3)*4.7 would be equal to -10.81
H(x) = 4x-5 and h(x)= 17.
Answer:
5.5
4*5.5=22-5=17
Step-by-step explanation:
Question 3 (1 point)
Which best describes the range of the function f(x)=2(3)^3?
Answer:
(0, ∞ )
Step-by-step explanation:
Basic exponential functions always take on values ranging from (but not touching) 0 upward.
Thus, the range of this particular exponential function is (0, ∞ )
a train begin a trip of 240 miles. the train averages 40 miles per hour, including stops. tasha wants to create a table to model how far the train is from its destination. her table is below. are the values in her table correct? if not, explain her mistake and create the correct table.
This table shows the distance remaining for the train at each hour of its journey.
Compare this table to Tasha's table to see if her values are correct.
If they differ, then her table is incorrect and you can use the table I provided as the correct one.
First, let's analyze the given information:
- Total trip distance: 240 miles
- Train's average speed: 40 miles per hour (including stops)
To find the time it takes to complete the trip, we can use the formula:
Time = Distance / Speed.
Time = 240 miles / 40 miles per hour = 6 hours
Now, Tasha wants to create a table to model how far the train is from its destination.
I will create a correct table for you and then you can compare it with Tasha's table to determine if her values are correct or not.
Table (Hours : Distance remaining in miles):
0 : 240
1 : 200
2 : 160
3 : 120
4 : 80
5 : 40
6 : 0.
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A car travels 250 miles in the first minute,310 miles in the next minute,and 370 in the third minute and so on.How far will the car travels within five minutes?
Answer:
I got it wrong the first time the person above me is correct. 490
Step-by-step explanation:
If you keep on adding 60 as the pattern for the next 2 numbers, you'll get 490.
Answer:
490miles
Explanation
It is rather a sequential problem that's to say a particular number is repeatedly being added in each case (take a look at the photo above)
Carpet sells for $4 per square foot and will cost you $616 to recarpet your rectangular room. if your room is 14 feet long, how many feet wide is it?
When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
Given,
The cost of Carpet per square foot = $4
Total cost of the carpet = $616
We know
Area of the rectangle = Length × Width
Length = 14 feet
Consider the width of the rectangular room as x
Then the area of the room = 14x
Total cost of carpet = Area of the rectangular room× Cost of carpet per foot
Substitute the values
14x×4=616
14x=154
x=11 feet
Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
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HELP ME PLEASE BECAUSE THE QUATER IS ALMOST OVER
The terms and properties of operations that complete the statement and reasons for the equivalent expressions are;
3. Same
4.The properties of operations to write the equivalent expressions are; (-4), (-4) Distributive property
(-4), (-4), Associative property
(-4), (-3) Distributive property
5. When x = 2, and y = -5 -28·x + 12·y is -116 = -116
What are equivalent expressions?Equivalent expressions are expressions that have the same value for the values of the input variable.
3. The completed statement is presented as follows;
Equivalent expressions evaluate to the same value when a given set of values of x and y are substituted into both expressions.
4. The expressions in the question can be expanded to collect like terms as follows;
Expression; -28·x + 12·y
The common factor of 28 and 12 is 4, therefore, we get;
-28·x + 12·y = (4 × (-7))·x + (4 × 3)·y
To make the coefficient of the leading term positive, we get;
-28·x + 12·y = (-4 * 7)·x + (-4 * (-3))·y; Distributive property
Factoring the algebraic expression on the right, where the common factor is -4, we get;
(-4 * 7)·x + (-4 * (-3))·y = -4 × (7·x) + -4 × (-3·y); Associative property
= -4 × ((7·x) + (-3·y));
Therefore; -28·x + 12·y = -4 × (7·x + -3·y); Distributive property
5. Evaluation of the left and right side of the expression, where; x = 2, and y = 5, we get;
-28 × 2 + 12 × -5 = -116
(-4) × ((7 × 2) + (-3 × -5)) = -4 × 29 = -116
The completed equations are therefore;
-28·x + 12·y = -4 × (7·x + -3·y)
-28 × 2 + 12 × (-5) = -4 × (7 × 2 + -3 × (-5))
-116 = -116
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The sum of the measure of the interior angles of polygon is 1440 classify the polygon by the number of slides
Cell phone plan A costs $52 a month plus a charge of $0.80 per text. Cell phone plan B costs $100 a month plus a charge of $0.20 per text. For what number of texts will the two plans be equal?
Answer:
80 months
Step-by-step explanation: Let's solve your equation step-by-step.
52
+
0.8
x
=
100
+
0.2
x
Step 1: Simplify both sides of the equation.
0.8
x
+
52
=
0.2
x
+
100
Step 2: Subtract 0.2x from both sides.
0.8
x
+
52
−
0.2
x
=
0.2
x
+
100
−
0.2
x
0.6
x
+
52
=
100
Step 3: Subtract 52 from both sides.
0.6
x
+
52
−
52
=
100
−
52
0.6
x
=
48
Step 4: Divide both sides by 0.6.
0.6
x
0.6
=
48
0.6
x
=
80
Each triangle in the STL file is defined by the vertices and inward pointing surface normal vector True O False Since the STL file is created from the Solid Model, it can be reconverted into the original CAD model O True False Which one of the following is NOT an advantage of using lattice structure? Reducing the weight Saving the material cost Simplifying the design and manufacturing process Increasing the heat exchange area for a heat exchanger
False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.
False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.
The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.
However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.
Therefore, increasing heat exchange area is not a direct advantage of lattice structures.
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the measures of the angles in a triangle are in a ratio of 2:2:4. find the exterior angle that is adjacent to the largest triangle.
The exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.
The exterior angle adjacent to the largest interior angle in a triangle is equal to the sum of the other two interior angles.
Let's call the measures of the angles in the triangle x, x, and 2x. Then,
x + x + 2x = 180 degrees,
so 4x = 180 degrees, and
x = 45 degrees.
The largest interior angle is 2x, or 90 degrees. The exterior angle that is adjacent to this angle is equal to 180 degrees minus the interior angle, which is 180 - 90 = 90 degrees.
So the exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.
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Given AABC with vertices A(7, 7) B(-5, 3) and C(3,-5),
1) If BE is a median, then point E is located at what coordinate?
2) If AL is a median, at what coordinate would L be located?
3) If LP is a perpendicular bisector, what would be the slope of LP?
4) An altitude is always.
to the side of the triangle.
ABC's vertices are points A, B, and C. ABC's sides are made up of the AB, BC, and CA segments.
How to calculate vertices of ABC?Determine the length of the median across vertex A of triangle ABC, which has vertices A (7,3), B (5,3), and C.
Assume M(x,y) represents the ABC median from A to BC.
M will be the point at which BC splits in half.
x 1 =5, y1 =3
x 2 =3,y2 =−1
Using the midpoint formula, x=(x 1 + x 2)/2
∴x=(5+3)/2=8/2=4
Using the midpoint formula, y=(y 1 + y 2 )/2
∴y=(3+(−2))/2=2/2=1
Consequently, M's coordinates are (4,1).
The distance formula reads d(AM)=
By distance formula, d(AM)= √[(x2 - x1)² + (y2 -y1)²]
x1 = 7,y1 = -3
x2 = 4,y2 = 1
∴d(AM) = √[(4- 7)² + (1 - (-3)²]
∴d(AM) = √(-3)² + (4)² = √9 + 16
∴d(AM) = √25 = 5
As a result, the median AM is 5 units long.
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At the Hawaii Pineapple Company, managers are interested in the size of the pineapples grown in the company's fields. Last year, the weight of the pineapples harvested from one large field was roughly normally distributed with a mean of 31 ounces and a standard deviation of 4 ounces. A different irrigation system was installed in this field after the growing season. Managers wonder if the the mean weight of pineapples grown in the field this year will be different from last.
Required:
a. Write out the null, and alternative hypotheses Hain terms of the population mean μ.
b. Explain Type 1 and Type 2 errors of the test in context e) What sample size should the managers use to ensure their test has power of at least 0.9 to detect a-33 (assuming Æ¡-4)?
a) The mean weight of pineapples grown in the field this year is different from the mean weight of pineapples grown last year. b) The power to detect an increase of 2 ounces in the mean weight of pineapples (μa = 33 ounces) is approximately 0.932, and the probability of making a Type 2 error with a true mean of 33 ounces is approximately 0.068.
(a) The null hypothesis (H0) and alternative hypothesis (Ha) can be written as follows:
Null Hypothesis (H0): The mean weight of pineapples grown in the field this year is equal to the mean weight of pineapples grown last year (μ = 31 ounces).
Alternative Hypothesis (Ha): The mean weight of pineapples grown in the field this year is different from the mean weight of pineapples grown last year (μ ≠ 31 ounces).
(b) To calculate the power and the probability of making a Type 2 error, we need to assume the population mean weight of pineapples this year (μa) is 33 ounces. We also need to determine the critical value for the given significance level (α) of 0.05.
Given that the sample size (n) is 30, the population standard deviation (σ) is 4 ounces, and the mean weight under the alternative hypothesis (μa) is 33 ounces, we can calculate the test statistic (z) using the formula:
z = (\(\bar x\) - μa) / (σ / √n)
where \(\bar x\) is the sample mean.
With \(\bar x\) = 31 ounces, σ = 4 ounces, μa = 33 ounces, and n = 30, we can calculate the test statistic:
z = (31 - 33) / (4 / √30)
z = -2 / (4 / √30)
z = -2 / (4 / 5.477)
z = -2 / 1.0954
z ≈ -1.825
Using a standard normal distribution table or calculator, we can find the corresponding p-value for this z-value. Let's assume it is approximately 0.034 (one-tailed test).
The power of the test can be calculated as 1 minus the probability of a Type 2 error. Since the alternative hypothesis is two-sided, we divide the significance level (α) by 2 and find the corresponding critical z-value. Let's assume it is approximately 1.96 (two-tailed test).
Now we can calculate the power using the formula:
Power = 1 - P(Type 2 Error) = 1 - P(z < -1.96 or z > 1.96)
P(Type 2 Error) = P(z < -1.96 or z > 1.96) ≈ 2 * P(z < -1.96) (assuming symmetry)
P(Type 2 Error) ≈ 2 * 0.034 ≈ 0.068
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constraints aregroup of answer choicesquantities to be minimized in a linear programming model.restrictions that limit the settings of the decision variables.input variables that can be controlled during optimization.quantities to be maximized in a linear programming model.
Constraints are restrictions that limit the settings of the decision variables in a linear programming model.
Constraints in a linear programming model are restrictions that limit the settings of the decision variables, which are input variables that can be controlled during optimization.
These decision variables are often defined by specific quantities to be maximized or minimized in the model.
Therefore, constraints are a group of answer choices or restrictions that must be considered when developing a mathematical model to optimize certain variables or quantities.
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What is the importance and advantage of using graph representation when organizing your data?
The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.
An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.
The following are the three advantages of graphs:
It makes data look good and makes it easy to understand.It helps to concisely summarize the data.Better data comparison is made possible by it.Know more about graphs here: https://brainly.com/question/17267403
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URGENT!! PLEASE HELP!! What method could be used to prove the below triangles similar?
Answer:
Step-by-step explanation:
1.
solve the
following
simultaneous equations graphically.
y = 8-x
y=x-2
Answer:
(5,3)
Step-by-step explanation:
Well to solve the following,
y = 8 - x
y = x - 2
Graphically.
We need to graph both equations,
Look at the image below ↓
By looking at the graph we can tell the intercept point is at (5,3).
Thus,
the solution is (5,3).
Hope this helps :)
15-2(3-2x)=46 what does the x equal
Exact form: 37 over 4
Decimal form: 9.25
Mixed number form: 9 and 1 over 4
a Which equation represents a line that passes through (-2, 4) and has a slope of 2/5?
y = 2/5x +24/5, is the equation which represents a line that passes through (-2, 4) and has a slope of 2/5.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
The slope intercept form of a line is
y = mx+b
where m is the slope and b is the y intercept
y = 2/5 x +b
Substitute the point (-2,4) into the equation and solve for b
4 = 2/5(-2)+b
4 = -4/5 +b
Add 4/5 to each side
20/5 +4/5 = b
24/5 = b
Hence, y = 2/5x +24/5, is the equation which represents a line that passes through (-2, 4) and has a slope of 2/5.
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is there any bias in the following survey question explain. So you prefer delicious chocolate ice cream or boring ice cream?
Answer:
yes, contains bias
Step-by-step explanation:
surveyor included their own opinions on chocolate ice cream being delicious and vanilla ice cream being boring.
Verticle angles are--------- which means they have---------‐ degree measures.
Answer:
Vertical angles are congruent which means they have equal degree measures.
=================================================
Explanation:
There's not much more to say. The term "congruent" means "equal or same".
For instance, congruent segments are the same length.
Another example: congruent triangles are clones of each other with the same corresponding side lengths and corresponding angles are the same measure as well.
While out shopping for new clothes, Xaoting sees a sign for cozy socks advertised on sale for $3. 50 per pair. The regular price of the socks is $5 per pair. Xaoting buys 3 pairs and notices that the socks do not ring up at the advertised sale price, so she has the cashier do a price check. If the sales tax is 8%, how much does Xaoting save by paying attention at the register? a. $3. 66 b. $4. 50 c. $4. 86 d. $5. 70.
The Xaoting will save $4.86
We have to find how much Xaoting will save
Therefore we need to calculate the prices of the socks without the advertised sales price.
We have given that $5.00 per pair,
Xaoting buys 3 pairs and notices that the socks do not ring up at the advertised sale price. and sales tax is 8%.
$5.00 per pair x 3 = $15
Sales tax = 8% or 0.08
What is the formula for total price?
Total price=total fixed cost+ total variable cost
Therefore,
Total price=total fixed cost+total variable cost
= (15.00 x 0.08) + 15.00
= 1.20 + 15.00
= $16.20
Total price = $16.20
Now have to find how much it would be if the socks were on the advertised price.
Advertise on sale for $3.50 per pair
So,
$3.50 x 3 = $10.50
Advertised Total price = (10.50 x 0.08) + 10.50
= 0.84 + 10.50
= $11.34
So,
To find how much Xaoting will save by subtracting the regular price to the advertised price.
Savings = $16.20 - $11.34
= $4.86
Therefore,
The Xaoting will save $4.86
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f(x) = 3x - 2
g(x) = x + 3
Find (f.g)(x).
O 3x^3+ 7x^2 - 6x
-
O 3x^2 + 11x – 6
O 3x^2 + 7x – 6
O3х^2 – 6
Answer:
the third option
Step-by-step explanation:
it is simple :
for the sum of 2 functions we need to sum the functional expressions.
for the product of 2 functions we need to multiply the functional expressions.
...
so,
(f.p)(x) = (3x - 2)(x + 3)
remember, when we multiply 2 expressions, then we have to multiply every term of one expression with every term of the other expression and sum up all the individual results (while considering the right signs, of course).
(3x - 2)(x + 3) = 3x² + 9x - 2x - 6 = 3x² + 7x - 6
A car dealer determines that if gasoline-electric hybrid automobiles are sold for x dollars apiece and the price of gasoline is y cents per gallon, then approximately h hybrid cars will be sold each year, where
h(x,y)=3,500−19x^1/2+6(0.1y+16)^3/2
She estimates that t years from now, the hybrid cars will be selling for
x(t) = 35,050 + 350t
dollars apiece and that gasoline will cost
y(t)=300+10(3t)^1/2
cents per gallon. At what rate will the annual demand for the hybrid cars be changing with respect to time 3 years from now? Will it be increasing or decreasing?
The annual demand for hybrid cars will be changing at a rate of approximately -756 cars per year 3 years from now. The demand will be decreasing at that time.
To find the rate of change of the annual demand for hybrid cars with respect to time, we need to calculate the derivative of the demand function h(x, y) with respect to time. Given the functions x(t) and y(t) that represent the price of hybrid cars and the price of gasoline in terms of time, we can substitute these functions into the demand function h(x, y) to get h(t).
Then, we take the derivative of h(t) with respect to t and evaluate it at t = 3 to find the rate of change of the annual demand at that time. Using the chain rule and simplifying the expression, we can calculate the derivative:
h'(t) = -19\((350t)^(-1/2)\) + 6(0.1 * 10\((3t)^(-1/2) + 16)^(3/2)\)
After substituting t = 3 into the derivative function and simplifying, we find that h'(3) ≈ -756. This means that the annual demand for hybrid cars will be decreasing at a rate of approximately 756 cars per year 3 years from now.
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the number of hours spent per week on household chores by all adults has a mean of 26.3 hours and a standard deviation of 7.4 hours. the probability, rounded to four decimal places, that the mean number of hours spent per week on household chores by a sample of 46 adults will be more than 26.75 is:
This question is about probability. The answer for this question is 34,09%.
Step-by-step explanation:
Suppose there was survey that state that the number of hours spent per week on house hold course of adult has mean 26,3 and standard deviatiador 7,4 and, sample are 46.
First, we need to know the base formula for probability given a mean and standard deviation.
First we need to know the z-score with this formula:
z-score =( x -μ )/ δ
Where:
X = individual data
μ = population mean
δ = population standard deviation.
But in this case, we were asked about the probabilty mean of 46 people. Then, we can use this formula :
Z-score =(x- μ) / (δ /√n)
Where :
X = sample mean
μ = population mean
δ = population standard deviation
Then we can find the z-score in z-table value.
Given :
X = 26,75
μ = 26,3
δ = 7,4
n = 46
Question :
Probability mean more than 26,75
Answer :
Z-score = (x- μ) / (δ /√n)
Z-score = (26,75 - 26,3)/ (7,4/√46)
Z-score = (0,45)/ (1,09)
Z-score = 0,4128
if we look in z-score table, we get number 0,6591.The probability that the mean hours spent per week on household chores by a sample of 46 adults will be more than 26.75 is 1 substract by the value of z-score ,
So, the probability mean for working adult more than 26,75 is 1 - 0,6591 = 0,3409 = 34,09%
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a person has a 5% chance of winning a free ticket in a state lottery. she plays the game 12 times. what is the probability she will not win? round your answers to three decimal places.
Answer:
0.540
Step-by-step explanation:
She has a 95% chance of not winning, which needs to happen 12 times. So, the probability is \((0.95)^{12} \approx 0.540\)
Factor 45+75. Write your answer in the form a(b+c) where a is the GCF of 45 and 75.
The greatest common factor of the numbers 45 and 75 will be 15.
What is the greatest common factor?Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expression is given below.
⇒ 45 + 75
Simplify the expression, then we have
⇒ 45 + 75
⇒ 15 · 3 + 15 · 5
⇒ 15(3 + 5)
The greatest common factor of the numbers 45 and 75 will be 15.
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What’s the name of the transformation???
Answer:
Translation
Step-by-step explanation:
Remember Translation as a 'Slide'
Answer:
translation
Step-by-step explanation:
hopes this help