Answer:
Step-by-step explanation:
Please help
AD=BC
Find Angle B
The measure of m ∠ABC is 50°.
What is angle?In Euclidean geometry -
an angle is the figure formed by two rays known as the sides of the angle and sharing a common endpoint known as the vertex of the angle.
Given is a triangle as shown in the image.
We can write -
∠ACD = 180 - (60 + 40)
∠ACD = 80 ...... Eq { 1 }
Now, -
∠ABC + (180 - ∠ACD) + (90 - ∠DAC) = 180
∠ABC + 100 + 30 = 180
∠ABC = 50°
Therefore, the measure of m ∠ABC is 50°.
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Identify the property that justifies the work between Step 3 and Step 4.
Step 1: 19 < 4x - 5
Step 2:
19 + 5 < 4x - 5 + 5
Step 3: 24 < 4x
Step 4:
(1/4) * 24 < (1/4) * 4x
Step 5: 6 < x
The property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 19 < 4x - 5
By the addition property, add 5 on both sides
19 + 5 < 4x - 5 + 5
24<4x
By Multiplication and division property, divide both sides by 4
(1/4)24<(1/4)4x
6<x
Hence, the property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.
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Use a proportion to solve the problem about direct variation.
The amount of water used to take a shower varies directly as the amount of time that the shower is in use. A shower lasting 17 minutes requires 11.9 gallons of water. Find the amount of water used in a shower lasting 5 minutes.
The amount of water used in a shower lasting 5 minutes is 3.5 gallons.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, A shower lasting 17 minutes requires 11.9 gallons of water.
Let the amount of water used in a shower lasting 5 minutes be x.
Here, the proportion is
17:11.9 :: 5:x
Now, 17×x=11.9×5
17x=59.5
x=59.5/17
x=3.5 gallons
Therefore, the amount of water used in a shower lasting 5 minutes is 3.5 gallons.
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Which TWO linear inequalities are shown in the graph below?
The two linear inequalities shown in the graph below are y > -2 and
x - y > -1.
What is linear inequality?According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this phrase can be replaced by any of the inequality symbols, such as greater than (>), less than (<), more than or equal to (≥), less than (≤), or not equal to (≠).
Given a graph of linear inequalities,
shows a line parallel to the x-axis which means the value of x is zero,
and the shaded portion is on the positive side of x and y,
from the graph, we find that the equation for the line parallel to the x-axis is
y > -2.
The second line passe from (-1, 0)and (0, 1)
linear equation for the line will be,
y = x + 1
y - x = 1
but the shaded portion is below the line,
so the equation of inequality is y - x < 1
multiply -1 on both sides we get,
x - y > -1
Hence options A and H are correct.
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find the exact value of each of the remaining trigonometric functions of 0. rationalize denominators when applicable.
sin 0 = v3/6 given that cos 0 = 0
Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).
sin^2(0) + cos^2(0) = 1
sin^2(0) = 1 - cos^2(0)
sin^2(0) = 1 - 0^2
sin^2(0) = 1
So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.
However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.
trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.
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The Hawaii Visitors Bureau collects data on visitors to Hawaii. The following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights.
• This trip to Hawaii is my: 1st, 2nd, 3rd, 4th, etc.
• The primary reason for this trip is: (10 categories, including vacation, convention, honeymoon)
• Where I plan to stay: (11 categories, including hotel, apartment, relatives, camping)
• Total days in Hawaii
a. What is the population being studied?
b. Is the use of a questionnaire a good way to reach the population of passengers on incoming airline flights?
c. Comment on each of the four questions in terms of whether it will provide categorical or quantitative data.
a. Passengers on incoming airline flights, b. Yes, it is a good way, c. 1st, categorical; Reason, categorical; Stay, categorical; Days, quantitative.
The population being studied is passengers on incoming airline flights. Using a questionnaire to collect data from this population is a good way to reach a large number of travelers quickly and easily. The first question is asking about the number of visits to Hawaii, which will provide categorical data. The second question is asking about the primary reason for the trip, which will also provide categorical data. The third question is asking about where the person plans to stay, which will also provide categorical data. The fourth question is asking about the total days in Hawaii, which will provide quantitative data.
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Let L be the line with equation (10 3) + (-2 1)t. Let be v a vector from the origin to a point on L. Find the minimum value of ||v||.
The minimum value of ||v|| is 0, since the vector v can be the zero vector, which points from the origin to the origin.
The equation (10 3) + (-2 1)t describes the line L, where the vector (10 3) is the point on the line L and the vector (-2 1) is the direction vector. The equation can be re-written as v = (10 3) + (-2 1)t, where v is the vector from the origin to a point on L and t is a scalar.
Since t can be any real number, the vector v can be anything from the origin to a point on L. In particular, the vector v can be the zero vector, which points from the origin to the origin. Therefore, the minimum value of ||v|| is 0.
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Find the slope of a line parallel to the line whose equation is 3x+2y=8. fully simplify your answer.
Answer:
-3/2
Step-by-step explanation:
Parallel lines have the same slope, but different y-intercepts. We can find the slope by converting to slope-intercept form:
[tex]\displaystyle 3x+2y=8\\\\2y=8-3x\\\\y=4-\frac{3}{2}x\\\\y=-\frac{3}{2}x+4[/tex]
Hence, the slope of the parallel line will also be -3/2
in a survey of 20-year-olds in china, germany, and the united states, people were asked the number of foreign countries they had visited in their lifetime. the following box plots display the results.
Part a: Data from Germany are skewed to the left.
Part b) More Germans survey respondents have visited upwards.
Part c) These box plots show that 20-year-old Chinese rarely venture .
Explain about the box plots?Box plots are utilized to display a group's general reaction patterns. They offer a practical method for visualizing the range or other traits of replies for a sizable group. A range of various box plot placements and forms are shown in the diagram below.For the stated question:
a) Data from Germany, China, as well as the United States are all skewed to the right. Data from Germany are skewed to the left.
b) More Germans survey respondents have visited upwards of eight foreign countries so the box plot for Germany indicates that for at least 50 percent of Germans survey conducted have visited eight or many foreign countries, while a box plot for said United States indicates that less than 25% of US people involved have done so.
c) These box plots show that 20-year-old Chinese rarely venture outside of the country.
Germans are frequent travelers; 50% of Germans have visited a minimum of 8 foreign nations. In the US, 25% of people have never been abroad while 25% have been to at least five different countries, showing that there is the widest range of experiences.To know more about the box plots, here
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The complete question is-
In a survey of 20-year-olds in China, Germany, and the United States, people were asked the number of foreign countries they had visited in their lifetime. The following box plots display the results.
a. In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected.
b. Have more Americans or more Germans surveyed been to over eight foreign countries?
c. Compare the three box plots. What do they imply about the foreign travel of 20-year-old residents of the three countries when compared to each other
identify the terms that are substituted for supply chain. (check all that apply.) multiple select question. supply web supply network extended enterprise demand chain lean operation
The following phrases are used in place of supply chain:
Supply network ; Demand chain ; Extended enterprise ; Supply web.
Explain about the supply chain?The supply chain is a networked system of businesses, people, information, and assets created to locate, produce, and transport items from their point of origin to their final destination, which is often from the a supplier to a customer.
Modern supply chains sometimes span several nations and involve numerous processes, making them exceedingly complicated.
The fundamental steps in such a supply chain are as follows:
original source or raw material extractiontransforming raw materials into simple componentsputting together basic components into completed goodsdistributing finished goods to customersdelivering completed goods to customers or end usersThus, the following phrases are used in place of supply chain:
Supply network ; Demand chain ; Extended enterprise ; Supply web.
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Find the value of x and/ory in each diagram below.
Answer:
3.) x=49 4.) x=29
Step-by-step explanation:
3.)
2x+82=180
2x=98
x=49
4.)
3x+3(91)=360
3x+273=360
3x=87
x=29
determine which of the above equations are eigenfunctions of the momentum operator, px, and identify the corresponding eignevalue
The eigenfunctions of the momentum operator px are wave functions which, when acted upon by px, result in a scalar multiple of the wave function itself, with the scalar being the eigenvalue.
To determine which wave functions are eigenfunctions of the momentum operator px, one can start by solving the eigenvalue equation, px ψ = ħkψ, where ψ is the wave function and ħk is the eigenvalue. In this equation, ħ is Planck's constant divided by 2π and k is the wave number.
To find the eigenvalue, one can multiply both sides of the equation by the complex conjugate of the wave function and integrate over all space. The result is ħk times the normalization constant, which can be used to find the eigenvalue.
The wave functions that satisfy this equation are the eigenfunctions of the momentum operator px, and their corresponding eigenvalues are proportional to their wave numbers.
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given a collection of images with 50% dog images and 50% cat images, sample 2 images with replacement. what is the probabilities of (round to two decimal places e.g. 0.12):
The probability of getting both a dog and a cat image is 0.25.
The probability of getting two dog images with replacement is 0.25. This is because when selecting with replacement, each draw is independent of the previous draw. Thus, the probability of getting one dog image is 0.50 and the probability of getting a second dog image is 0.50. Thus, the probability of getting two dog images is 0.50 x 0.50 = 0.25. Similarly, the probability of getting two cat images with replacement is 0.25.
The probability of getting one dog image and one cat image with replacement is 0.50 x 0.50 = 0.25. Thus the probability of getting both a dog and a cat image is 0.25.
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drag each expression to the correct location on the table. determine which expressions represent purely real numbers and which expressions represent non-real complex numbers.
The expression 9/4 is a real number, whereas the expression 9i is a non-real complex number.
Real Numbers:
9/4
The expression 9/4 is a real number. This can be seen by dividing the numerator (9) by the denominator (4) to get the answer 2.25. This is a real number as it can be written with a decimal.
Non-Real Complex Numbers:
9i
The expression 9i is a non-real complex number. This can be seen by taking the coefficient (9) and multiplying it by the imaginary number i. The result is 9i, which is a non-real complex number because it cannot be written with a decimal. The imaginary number i is defined as the square root of -1, which is not a real number.
The expression 9/4 is a real number, whereas the expression 9i is a non-real complex number.
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Zachariah and Khai collect stamps. Zachariah has 9 American stamps out of 15 stamps. Khai has 13 American stamps out of 20 stamps. Which statement is correct?
Zachariah has a higher ratio of American stamps than Khai because 9 over 15 is greater than 13 over 20.
Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is greater than 13 over 20.
Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is less than 13 over 20.
Zachariah and Khai have the same ratio of American stamps.
Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is less than 13 over 20.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Zachariah has 9 American stamps out of 15 stamps
Zachariah's ratio is 9 / 15 = 3 / 5=0.6
Khai has 13 American stamps out of 20 stamps.
Khai's ratio is 13 / 20 = 0.65.
0.65>0.6
Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is less than 13 over 20.
Hence, Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is less than 13 over 20.
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april borrows $23000 at an interest rate of 6% to purchase a new automobile. at what rate (in dollars per year) must she pay back the loan, if the loan must be paid off in 5 years? (use decimal notation. give your answer to two decimal places.) withdrawal rate: $ 5980 per year
Answer:
6155.84
Step-by-step explanation:
23000
6% annual
5 years
23000*(1+6%)^5= 30799.19
so 6155.84 per year
April must pay back her auto loan at a rate of $5980 per year. This is calculated by first determining the total repayment sum (principal + interest), and then dividing this total by the number of repayment years.
Explanation:In this problem about loan repayment, we are asked to find the rate at which April must pay back her loan of $23000 with an interest rate of 6%, which is to be paid off in 5 years. First, we need to determine the total amount to be paid back which is the principal plus the interest. The interest April will pay is given by the formula: Interest = Principal x Rate x Time. So, Interest = $23000 x 0.06 x 5 = $6900. Thus, the total amount to be repaid is $23000 (the principal) + $6900 (the interest) = $29900.
To find out how much she must pay per year, we divide the total payment by the number of years. Therefore, Annual Payment = $29900 / 5 = $5980 per year. So, April must pay back the loan at a rate of $5980 per year.
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Find the minimum, maximum, and range for the given set of data. {30, 24, 8, 21, 35, 23, 23, 19, 13, 17} A. minimum = 8, maximum = 35, range = 43 B. minimum = 17, maximum = 30, range = 47 C. minimum = 8, maximum = 35, range = 27 D. minimum = 17, maximum = 30, range = 23 Please select the best answer from the choices provided A B C D
Answer:
Step-by-step explanation:
D
a + (-7) = 3 a =
1.9 + b = -3.2 b =
-1/6 +7/6 = c c=
The value of the equations are a = 10 , b = -5.1 and c = 1
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
Substituting the values in the equation , we get
a + ( -7 ) = 3 be equation (1)
On simplifying the equation , we get
a - 7 = 3
Adding 7 on both sides of the equation , we get
a = 3 + 7
a = 10
Substituting the values in the equation , we get
1.9 + b = -3.2 be equation (2)
Subtracting 1.9 on both sides of the equation , we get
b = -3.2 - 1.9
b = -5.1
Substituting the values in the equation , we get
-1/6 + ( 7/6 ) = c be equation (3)
c = ( 7 - 1 ) / 6
c = 6/6
c = 1
Hence , the equations are solved
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A map has a scale of 1cm: 4 kilometres.
The actual distance between two cities is 52 kilometres.
What is the distance between the cities on the map?
Answer:
Step-by-step explanation:
You can use conversion to solve for cm
52 km x 1 cm / 4 km = 13 cm
where km cancels out leaving your answer in cm.
the actual distance on the map would be 13 cm
Find the greatest common factor for the list of the terms. 70x² , 30x³ , 60x⁸
Answer: 70x²= 1 30x ALSO= 1 60x⁸= 1 again
Step-by-step explanation: To find the Greatest Common Factor of these three terms you must first factor each term separately:
Solve the equation using the steps:
2(x + 8)= 2x + 8
After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.
How to solve the given equation: 2(x + 8)= 2x + 8?Before moving to solve the equation , let's learn how to solve any algebraic expression:
Step 1: Determine whether the Distributive is necessary.
Property. If so, spread the word!
Step #2: Group similar terms together on either side of the equals symbol.
(meaning: combine all of the similar factors AND
Add up each and every integer (number).
Step #3: Align the variables so that they are all to one side of the equals symbol.
utilizing the inverse process. REMEMBER: No matter what you do
You MUST do to the other side of the equals sign what you did to the one side.
equals (symbol).
Fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
You MUST do anything you do to one side of the equals sign.
the reverse of the equals symbol).
Step #5: Using the variable's ALONE state, isolate it
the opposite process. DO NOT FORGET: No matter what you do to one
You MUST change the other side of the equals symbol to the equals symbol
Given:
2(x + 8)= 2x + 8
2 × x + 2 × 8= 2x + 8
2x+16= 2x+ 8
16= 8
So, x∈∅.
In this equation , the value of x could not be find because variable x is dissolved in itself.
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If y varies directly as x^2 and y=4 when x=-1 find y when x=3
The value of y when x = 3 is 36.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 8 is an equation.
We have,
y varies directly as x².
This means,
y = kx²
Now,
When x = -1, y = 4
So,
4 = k(-1)²
k = 4/1
k = 4
Now,
y = 4x²
For x = 3,
y = 4 x 3²
y = 4 x 9
y = 36
Thus,
The value of y is 36.
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The first month Tan had his new phone, he downloaded 5 apps. Six months later, he has 22 apps on his phone. What is the percent increase in the number of apps Tan has on his phone from when he initially had his phone to six months later?
The percent increase in the number of apps Tan has on his phone is 340%
What is the percent increase in the number of apps?Number of apps downloaded in months 1 = 5 apps
Number of apps downloaded in months 7 = 22 apps
Percentage increase in the number of apps = changes in the number of apps downloaded/ Number of apps downloaded in months × 100
= (22 - 5) / 5 × 100
= 17/5 × 100
= 3.4 × 100
= 340%
In conclusion, Tan downloaded 340% more apps on his phone after 6 months.
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1
Write the reason for each step of the proof. Be sure to number each step.
2.
Convert the two column proof that you just wrote into a paragraph proof. Remember to use proper spelling, grammar and punctuation.
The required triangle WYV and XYU are congruent triangles with the SAS postulate.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
Here,
Consider triangle WYV and XYU
XY = WY [Given ]
VY = UY [Given ]
∠WYV = ∠UYX [Alternate interior angles for two intersecting lines are always equal]
ΔWYV ≅ ΔXYU by SAS congruency postulate.
As triangles, WYV and XYU are congruent triangles then,
VW = UX [sides of a congruent triangle are always equal]
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A spinner with 6 equally sized slices has 2 blue slices and 4 yellow slices. The dial is spun and stops on a slice at random. What is
the probability that the dial stops on a red slice?
Write your answer as a fraction in simplest form.
The probability that the dial stops on a red slice is given as follows:
0.
How to obtain the probability?A probability is obtained with the division of the number of desired outcomes by the number of total outcomes in the context of a problem.
The number of total outcomes for this problem is given as follows:
6.
The number of desired outcomes for this problem is given as follows:
0, as there are only blue slices and yellow slices, no red slices.
Then the probability that the dial stops on a red slice is obtained as follows:
p = 0/6
p = 0%.
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consider the following hypothesis test: : : a sample of is used. identify the -value and state your conclusion for each of the following sample results. use . a. with and , the -value is - select your answer - can it be concluded that the population mean is less than ?
The -value of -2.576 is less than the critical value of 0.05, we can reject the null hypothesis and conclude that the population mean is not less than .
The -value is the probability of observing a test statistic result as extreme or more extreme than the observed result given that the null hypothesis is true. In this hypothesis test, the null hypothesis is that the population mean is less than , and the alternative hypothesis is that the population mean is not less than . With and , the -value can be calculated using the t-distribution as follows:
The t-distribution has degrees of freedom (df) equal to the sample size minus 1. Therefore, the df for this hypothesis test is .
Using the t-distribution with df = , the -value can be calculated as:
-value = P(t≤-2.576)
The -value is the probability of observing a test statistic result as extreme or more extreme than the observed result given that the null hypothesis is true.
Since the -value of -2.576 is less than the critical value of 0.05, we can reject the null hypothesis and conclude that the population mean is not less than .
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A bucket is 1/2 full of water. When 12 litres of water is added, it is 3/4 full. How many litres will the tank hold?
Answer:
48 liters.
Step-by-step explanation:
Going from 3/4ths full to 1/2 full has a difference of 1/4; that makes 12 liters 1/4 of the tank.
12 times 4 is 48.
Answer:
48
Step-by-step explanation:
assume holds x litres
1/2 x + 12 = 3/4 x
so 1/4 x =12
x =48
which of the following comes from the conservation of mass? bernoulli's equation. neither the continuity equation or bernoulli's equation. both the continuity equation and bernoulli's equation. the continuity equation.
The continuity equation comes from the conservation of mass.
It can be a mathematical statement of the principle of conservation of mass.
According to this, mass inflow in control volume should be equal to the mass outflow from that region at a particular time and the mass can neither be created nor be destroyed.
A continuity equation is an equation that shows the behavior of a quantity as it moves or is transported from one point or state to another
The general form of the continuity equation:
Where p=density of the fluid,
u,v,w=components of velocity in x,v, and z directions respectively.
The above equation is applicable for steady as well as unsteady, uniform s well as non-uniform, compressible as well as incompressible flow.
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3. What is the value of the expression 6(10a + 2b)
Write an expression that shows the sum of exactly two terms
that is equivalent to 6(10a + 2b).
Answer:
60b + 12b
Step-by-step explanation:
given that y squared equals x y plus 6. when y equals 3, x apostrophe (t )equals negative 1. determine y apostrophe (t )
The value of y = 3 and x' = -1, y' = -3/7.
Derivative of y with tGiven the equation y² = xy + 6 and knowing that y = 3 and x' = -1, we can use implicit differentiation to find the derivative of y with respect to t, y'.
First, differentiate both sides of the equation with respect to t:d/dt (y²) = d/dt (xy + 6)
2y * y' = x' * y + x * y' + 0
Next, substitute in the known values of y and x':2 * 3 * y' = -1 * 3 + x * y'
6 * y' = -3 + x * y'
Finally, isolate y' by subtracting x * y' from both sides:6 * y' - x * y' = -3
(6 - x) * y' = -3
Divide both sides by (6 - x) to find y':y' = -3 / (6 - x)
Substitute x' = -1 to find y':y' = -3 / (6 - -1)
y' = -3 / 7
So, when y = 3 and x' = -1, y' = -3/7.
The specific case we were discussing is finding the derivative of y with respect to t, given the equation y² = xy + 6, and the values of y and x' at a certain time t. This is a problem in calculus, which is a branch of mathematics that deals with the rate of change and slopes of curves. By differentiating both sides of the equation and substituting in known values, we were able to find the value of y' at a specific time t. This method of finding derivatives is called implicit differentiation and it is used to find the derivative of an implicit equation, where one variable is expressed in terms of another.
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