Answer:45 degrees
Step-by-step explanation: The opposite angles theorem
Answer:
45
.................. . ...
There are 11900 films on Netflix. 13% of the films are action. How many films are action?
13% of 11900 films are action films =1547 films.
Answer:
\({ \tt{ = \frac{13}{100} \times 11900 }} \\ = 1547 \: action \: films\)
Write an integer that describe the situation. A decrease of 250 attendees
The integer would be -250, since it is a decrease.
Use differentials to estimate the amount of metal in an open top rectangular box that is 12 cm long, 8 cm wide, and 10 cm high inside the box if the metal on the bottom and in the 4 sides is 0.1 cm thick.
59.2 cm³
192 cm³
96 cm³
29.6 cm³
49.6 cm³
Among the given answer choices, the closest approximation to 57.6 cm³ is 59.2 cm³.
To estimate the amount of metal in the box, we need to calculate the volume of the metal used for the bottom and the four sides of the box.
The metal on the bottom of the box is a rectangle with dimensions 12 cm long and 8 cm wide. Since the metal is 0.1 cm thick, the volume of the metal for the bottom is approximately (12 cm) * (8 cm) * (0.1 cm) = 9.6 cm³.
The metal on the four sides of the box can be thought of as a rectangular prism with dimensions 12 cm long, 10 cm high, and 0.1 cm thick. The volume of the metal for each side is approximately (12 cm) * (10 cm) * (0.1 cm) = 12 cm³. Since there are four sides, the total volume of the metal for the four sides is 4 * 12 cm³ = 48 cm³.
the estimated amount of metal in the box is the sum of the volume of the metal for the bottom and the four sides: 9.6 cm³ + 48 cm³ = 57.6 cm³.
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given the parent function f(x)=x^3 calculate f(-3) and f(3)
Answer: f(-3) = -27 & f(3) = 27
Step-by-step explanation:
(-3)^3
-27
(3)^3
27
1.What is the coefficient of y in the expression -3x+5y+7?
A) -3 B) 5 C) 7 D) 5y
2.How many terms does this expression -3x+5y+7have?
-3 B) 5 C) 3 D) 2
A radio transmission tower is 160 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is to make an angle of 29\deg with the ground? Give your answer to the nearest tenth of a foot.
x = 147 / 0.5446 ≈ 270.2 ft
To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.
Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:
x = √((160 - 13)² + x²)
Next, we apply the tangent function to the given angle:
tan(29°) = (160 - 13) / x
Simplifying, we have:
0.5446 = 147 / x
To solve for x, we rearrange the equation:
x = 147 / 0.5446 ≈ 270.2 ft
Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.
Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.
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find the area of the parallelogram with the given information:
Answer:
There is a area of triangle and there is two trapezium so 8×17=136
1)In a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of
A)zero.
B)-1.
C)1.
D)any value.
In a multiple regression model, the error term (often denoted as ε or e) is assumed to be a random variable with a mean of zero.
This assumption is a key component of the regression model and is often referred to as the assumption of zero conditional mean or the assumption of homoscedasticity. The assumption of a mean of zero for the error term means that, on average, the errors have no systematic bias or tendency to overestimate or underestimate the predicted values. It implies that the model's predictions are unbiased and that any deviations from the true values are due to random chance or other factors not captured by the model. The other options presented in the answer choices (B) -1, (C) 1, and (D) any value are incorrect. The mean of the error term is specifically assumed to be zero, as it represents the average deviation of the observed values from the predicted values in the model.
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Quadrilateral WXYZ is a square. If WT=6, find each measure?
We know that the diagonals of a square bisect each other which results in the formation of 4 - 90° angles . Which means ZX = 2 × WT . Then ,
= ZX = 2 × 6
= ZX = 12 ( ZX is a diagonal )
Side XY =
XY = √2 d/2
XY = √2 . 12/2
XY = 8.48528
m∠WTZ = 90° ( as the diagonals of a square intersect to form a complete angle ( 360° ) which is divided into four equal parts , each part being 90° )
m∠WTZ = 90°
m∠WYX = 45° ( WYX is half of one of the interior angles in this square which will mean it will be equal to 45° )
Therefore , m∠WYX = 45°
In short :ZX = 12
XY = 8.48528
m∠WTZ = 90°
m∠WYX = 45°
What is the product? (2 x minus 1)(x 4) 2 x squared minus 4 2 x squared 4 2 x squared 7 x minus 4 2 x squared minus 7 x minus 4
The product of the given equation (2x - 1)(x +4) is 2x^{2} +7x -4.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The given expression is
\((2x - 1)(x +4)\)
Multiply term by term,
\(2x \times x + 2x \times 4+ (-1)\times x + (-1)\times 4\\2x^{2} +8x -x -4\\2x^{2} +7x -4\)
Thus, The product of the given equation is \(2x^{2} +7x -4\).
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Please help with both! This is due on Monday!
The least number of wood that the carpenter can buy would be D. 9 lengths.
The ratio of chopped carrots to total cups of chopped vegetables is C. 4 to 18.
How to find the number of wood pieces and ratio?Since there are 12 inches in a foot, a 4-foot length of wood is 4 x 12 = 48 inches long. Each dowel is 6 inches long, so the carpenter can cut:
48 inches / 6 inches = 8 dowels
From each 4-foot length of wood. The carpenter needs to make 70 dowels, so they will need:
70 dowels / 8 dowels per length = 8.75 lengths of wood
Since the carpenter cannot buy a fraction of a length of wood, they will need to buy at least 9 lengths of 4-foot wood to make all 70 dowels.
We have:
2 cups of chopped onions
1.5 cups of chopped celery
1 cup of chopped carrots
The total cups of chopped vegetables is:
2 cups (onions) + 1.5 cups (celery) + 1 cup (carrots) = 4.5 cups
The ratio of chopped carrots to total cups of chopped vegetables is:
1 cup (carrots) / 4.5 cups (total) = 1/4.5 = 2/9 or / 4/18
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Hello, I am reposting this question because I diddn’t get a solution last time. If anyone is seeing this could they pls help solve, I will mark branliest for step by step solution.
Answer:
I think the answer to this would be D.
Step-by-step explanation:
since a+b=c
c+b=a
c+a=b
Then i think the answer would be d...
which of the following is the binary equivalent to the decimal number 218?
O 1101 O 10101110 O 110110 O 11111100 O 1110
The binary equivalent to the decimal number 218 is 1101 1010.
To convert decimal to binary, we need to continuously divide the decimal number by 2 until the quotient is 0. The remainder of each division will give us the binary digits from right to left. In this case, 218 divided by 2 gives a quotient of 109 with a remainder of 0 (LSB). We then divide 109 by 2, which gives a quotient of 54 with a remainder of 1. We continue this process until we reach 0. The binary digits are read from the remainder column in reverse order, which gives us 1101 1010. This is the correct binary equivalent to the decimal number 218.
The binary equivalent of the decimal number 218 is 11011010. Here's a breakdown of the conversion process:
218 ÷ 2 = 109, remainder = 0 (2^1)
109 ÷ 2 = 54, remainder = 1 (2^3)
54 ÷ 2 = 27, remainder = 0 (2^2)
27 ÷ 2 = 13, remainder = 1 (2^4)
13 ÷ 2 = 6, remainder = 1 (2^5)
6 ÷ 2 = 3, remainder = 0 (2^3)
3 ÷ 2 = 1, remainder = 1 (2^1)
1 ÷ 2 = 0, remainder = 1 (2^0)
Putting the remainders together from top to bottom: 11011010
Therefore, the binary equivalent of 218 is 11011010.
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Suppose the market is competitive. Sketch the supply and demand and state the equilibrium quantity.
Suppose the market is competitive. Sketch the supply and demand and state the equilibrium quantity. 1.) Using the multipoint drawing tool, graph the market demand from the four hospitals. Label your line 'Demand'. (Use the "Esc" key after you have placed your last point to exit the drawing tool.) 2.) Using the multipoint drawing tool, graph the market supply of the four producers. Label your line 'Supply'. (Use the "Esc" key after you have placed your last point to exit the drawing tool.) The equilibrium quantity of ventilators sold is units. Carefully follow the instructions above and only draw the required pbjects.
In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.
To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.
Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.
The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.
By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.
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A scientist needs 72 milliliters of distilled water for each of 15 experiments. She has a bottle that contains 975 milliliters of distilled water. Is there enough water in the bottle for all 15 experiments? Explain.
Answer:
No
Step-by-step explanation:
To solve this equation you need to divide 975 by 72. After you divide those 2 numbers, you get 13/5... This means, that the scientist does not have enough distilled water for all 15 experiments. She only has enough for 13 experiments since about 1/2 is not a full amount.
No , The scientist does not have enough distilled water for all the 15 experiments
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The total number of experiments = 15 experiments
The amount of water required for the experiments = 72 milliliters
The total amount of distilled water with the scientist = 975 milliliters
So , the equation will be
The total amount of water required for the experiments = total number of experiments x amount of water required for the experiments
Substituting the values in the equation , we get
The total amount of water required for the experiments = 15 x 72
The total amount of water required for the experiments = 1080 milliliters
Now , 975 milliliters < 1080 milliliters
So , The total amount of distilled water with the scientist < The total amount of water required for the experiments
Hence , No , The scientist does not have enough distilled water for all the 15 experiments
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Simplify the expression.
40 -2.32
A. 4
B. 342
C.
22
D. 28
Answer:
37.68
Step-by-step explanation:
40 -2.32
= 37.68
Answer: is C. 22
Step-by-step explanation:
help me solve this Algebra problem please
Answer:
39858075
Step-by-step explanation:
Hello,
One basic way to see it is to compute the values.
75 = 25 * 3
225 = 75 * 3
675 = 225 * 3
etc ...
We can notice that this is multiplied by 3 every 10 years so we can compute as below.
year population
1970 25
1980 75
1990 225
2000 675
2010 2025
2020 6075
2030 18225
2040 54675
2050 164025
2060 492075
2070 1476225
2080 4428675
2090 13286025
2100 39858075
So the correct answer is 39858075
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Let’s check the amount of flow which is provided from a source Φ (r, θ) = Q log (r); Q >0.
(1) Set a unit circle whose center locates on the origin, and estimate the total amount of flow which crosses perpendicular to this unit circle. (Suggestion: Line integral along the unit circle)
(2) What are the pressures at the origin (r = 0) and at the infinity (r → [infinity])?
1) Therefore, the total amount of flow that crosses perpendicular to this unit circle is 0 and 2)The pressure at the origin (r = 0) is zero, and at infinity (r → [infinity]) is infinite.
(1) For estimating the total amount of flow that crosses the unit circle, we use the line integral along the unit circle, i.e.,
∫ C Φ(r,θ) · d l.
By definition, the line integral of a vector field along a curve gives the total of a function of the position, which describes some physical aspects of the system being studied, along the direction of the curve.
Using this logic here, we can express the length element dl as rdθ (since the circle has a unit radius of one). Thus, the line integral can be written as-
∫02π Q log(r)rdθ
On integration, it gives,
Q[θ log(r)]02π
= Q log(r)2π(θ2-θ1),
where θ1 and θ2 are the initial and final angles. Since the flow is being crossed perpendicular to the unit circle, both the initial and final angles are zero.
Hence, Q log(r)2π(0-0) = 0
Therefore, the total amount of flow that crosses perpendicular to this unit circle is 0.
(2) The pressure at the origin (r = 0) is zero, and at infinity (r → [infinity]) is infinite.
Since the flow is being crossed perpendicular to the unit circle, both the initial and final angles are zero.
Hence, Q log(r)2π(0-0) = 0
Therefore, the total amount of flow that crosses perpendicular to this unit circle is 0.Hence, the amount of flow crossing any point in the unit circle is zero.
Therefore, there can be no pressure difference between the origin and the points along the unit circle. However, as r tends to infinity, the logarithmic term grows without limit, indicating that the velocity of the fluid flowing from the source increases without bound.
Consequently, the pressure at infinity will become infinite.
A similar concept can be applied in aerodynamics, whereby a flow potential is used to describe the velocity field of a flow, and pressure is derived as the gradient of this potential. \
1. The total amount of flow that crosses perpendicular to this unit circle is 0.2.
The pressure at the origin (r = 0) is zero, and at infinity (r → [infinity]) is infinite.
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What is the simplified form of the expression -(2a + 5s) + (10a - 3s)?
Select one:
a. 8a - 25s
b. 8a - 35s
c. 12a + 25s
d. 12a - 35s
Answer:
b. 8a-35s
Step-by-step explanation:
at the north campus of a small liberal arts college, 10% of the students are women. at the south campus, 50% of the students are women. the campuses are merged into one new central campus. if 40% of the 1200 students at the central campus are women, how many students did each of the north and south campuses have before the merger?
Before the merger, there are 300 and 900 students in campuses in the north and south.
Why is it called a substitute?A substitute is somebody or a thing that steps in to replace the initial. To replace as a verb implies to implement such a change. Although the word substitute is used in many different situations, it is probably most often connected to substitute teachers and athletes who step in to perform in place of another participant in a team activity.
Let N=total students at North campus
Let S=total students at South campus
Given
North campus merged with South campus to create east campus of 1200 students
Eq 1, total students: N+S=1200
Eq 2, women: 0.10N+0.50S=0.40*1200=480
Step 1: N+5S=4800 multiply eq 2 by 10
Step 2: N=1200-S solve for N in eq1
Step 3: (1200-S)+5S=4800 substitute step 2 into step 1
Step 4: 4S=3600 group similar terms
Step 5: S=900
Step 6: N=1200-S
Therefore,
N=1200-900=300
Validate
Go to eq1 and eq2 substitute S=900 and N=300
N+S=300+900=1200 checked
0.1N+0.5S=480
= 0.1*300+0.5*900
= 30+450
= 480 checked
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Anton wants to make 5 lb of sugar syrup. How much water and how much sugar does he need to make each concentration of sugar syrup?.
Answer:
0.075 lb of sugar, 4.925 lb of water.
Step-by-step explanation:
Let's make a proportion.
x/5=1.5/100
We then cross multiply so 5x1.5=7.5 and 100x.
7.5=100x. We divide 100 into both sides getting 0.075=x
5-0.075=4.925
a) To make 75% sugar syrup, Anton needs 3.75 lb of sugar and 1.25 lb of water.
b) To make 1.5% sugar syrup, Anton needs 0.075 lb of sugar and 4.925 lb of water.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given,
Anton wants to make 5 lb of sugar syrup
To make 75% sugar syrup
Amount of sugar = (75/100) × 5
= 0.75 × 5
= 3.75 lb
Amount of water = 5 - 3.75 = 1.25 lb
To make 1.5% sugar syrup
Amount of sugar = (1.5/100) × 5
= 0.015 × 5
= 0.075 lb
Amount of water = 5 - 0.075 = 4.925 lb
Hence,
a) 3.75 lb of sugar and 1.25 lb of water is needed to make 75% sugar syrup,
b) 0.075 lb of sugar and 4.925 lb of water is needed to make 1.5% sugar syrup.
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Complete question is below:
Anton wants to make 5 lb of sugar syrup. How much water and how much sugar does he need to make
a) 75% syrup?
b) 1.5 % syrup?
A box contains some green and yellow counters. 7/9of the box is green counters. Are 24 yellow counters. There How many green counters are there?
If 7/9 of the box is green counters, and there are 24 yellow counters in the box, then there are 84 green counters .
Let's assume that the total number of counters in the box is x.
We are given that 7/9 of the box is filled with green counters, which means that the remaining 2/9 of the box must be filled with yellow counters. We are also given that there are 24 yellow counters in the box.
We can set up an equation to represent the relationship between the number of yellow counters and the total number of counters:
2/9 x = 24
To solve for x, we can multiply both sides of the equation by the reciprocal of 2/9, which is 9/2:
(2/9) x * (9/2) = 24 * (9/2)
x = 108
This means that there are a total of 108 counters in the box. To find out how many of these are green counters, we can use the fact that 7/9 of the box is filled with green counters:
(7/9) * 108 = 84
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whats 2 square root 810
Answer:
1145 is the correct answer
i need help on this one2.8n = 9.8
Step 1
write out the eqaution
2.8n = 9.8
Step 2
Divide through by coefficient of unknown variable 'n'
\(\begin{gathered} \\ \frac{2.8n}{2.8}\text{ = }\frac{9.8}{2.8} \\ n\text{ = 3.5} \end{gathered}\)
Ten six graders will each eat 1/4 of a pizza. How many whole pizza pies need to be
ordered for the ten students? Show your work
Answer:
3 whole pizzas
Step-by-step explanation:
\(10 \times \frac{1}{4} = \frac{10}{4} = \frac{5}{2} = 2 \frac{1}{2} \)
So 3 whole pizzas will need to be ordered.
Answer:
2 and a half pies
Step-by-step explanation:
ten sixth graders eat 1/4 each, therefore 4 kids eat 1 whole pie. similarly, 8 kids eat two whole pies, since two kids are remaining they eat 2/4 of a pie.
which can also be put in as 1/2. this means they eat half a pie. and that is how altogether it is 2 and a half pies.
hope this helps!
PLEASE HELP ME.What letter should appear next in the sequence? V,T,S,R
Answer:
in what sentence all i see is the letters no image above
Equation of the line that is parallel to the graph of y=1/2x+6 and whose y-intercept is -2
Answer:103
Step-by-step explanation:vrefdvrt
Translate: 7p. Select all that apply. *
7 times p
the product of 7 and p
7 multiplied by p
the sum of 7 and p
7 minus p.
Answer: 7 times p
the product of 7 and p
7 multiplied by p
Step-by-step explanation: anything that has to do with multiplying the two is correct
B. Describe the relationship between bridge length and breaking weight. How is thatrelationship shown by patterns in your table and graph?C. Use your data to predict the breaking weights for bridges of lengths 3,5, 10, and 12 inches.Explain how you made your predictions.D. Compare your data from this experiment to the data from the experiment on bridges withdifferent numbers of layers. How is the relationship between the number of layers in a bridgeand its breaking weight similar to the relationship between bridge length and breakingweight? How is it different?
ANSWER and EXPLANATION
B. We are to describe the relationship between bridge length and breaking weight.
To do this, we need to check the graph.
In doing that, we will see that the breaking weight appears to decrease as the Bridge length increases.
We can conclude then that the breaking weight and bridge length have an inverse relationship.
That is shown in the graph.
The highest value of the breaking weight is 14 and that is when the value of bridge length is at its lowest (4).
The lowest value of the breaking weight is 3 and that is when the value of the bridge length is at its highest (11)
Hence, there is an inverse relationship between them.4)
please help asap will mark brainliest
Answer:
The second one...the answer for n is +ive not -ive so it cant be a fraction