Answer:
I'd say 42 degrees, but I might be wrong.
Step-by-step explanation:
It looks the same as the other labeled angle, which is 42 degrees, so that would make angle b 42 degrees.
Martina has two dogs. The ratio of the dogs’ weights is 2:3. If the
total weight of the two dogs is 40 pounds, how much does each
dog weigh?
Answer:
Dog 1: 16 pounds
Dog 2: 24 pounds
Step-by-step explanation:
2x+3x=40
5x=40
x=8
2x = 16
3x=24
Answer:
The dogs' weights are 16 pounds and 24 pounds
Step-by-step explanation:
Equations:
Martina has two dogs. Their combined weight is 40 pounds. Let's set:
x = weight of one of the dogs.
40-x = weight of the other dog
The ratio between them is 2:3, thus:
\(\displaystyle \frac{x}{40-x}=\frac{2}{3}\)
Cross multiplying denominators:
3x = 2(40 - x)
Operating:
3x = 80 - 2x
Adding 2x:
5x = 80
Dividing by 5:
x = 80/5 = 16
x = 16 pounds
The weight of the other dog is 40-16=24 pounds.
The dogs' weights are 16 pounds and 24 pounds
Living on less than what you make means not
Answer:
living beyond your means.
Step-by-step explanation:
Pay for what you need and don't go into debt.
find the number of strings over the alphabet {a, b, c, d} that satisfy the following condition length 4, begins with a or c and ends with b or c
There are 4 strings over the alphabet {a, b, c, d} that satisfy the conditions of length 4, beginning with a or c, and ending with b or c.
To find the number of strings over the alphabet {a, b, c, d} that satisfy the given conditions, we can use the counting method. Let's consider each condition separately:
Length 4: The number of strings of length 4 over the alphabet {a, b, c, d} is 4 * 4 * 4 * 4 = 256.
Begins with a or c: There are 2 choices for the first character (a or c).
Ends with b or c: There are 2 choices for the last character (b or c).
The number of strings that satisfy all three conditions is the product of the number of choices for each condition:
2 * 2 = 4
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Simplify the expression. 19m – 4m^2 + 4m^2
Answer:
19m
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
19m - 4m² + 4m²
Step 2: Simplify
[Addition] Combine like terms: 19mAnswer:
19m-4m^2+4m^2
-4m^2+4m^2; since both are opposite you subtract which is zero
Answer=19m
Sample Space and Probability
The solution is, probability for getting an apple is 25%.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
the bag contains, 10 oranges, 5 apples, 5 peaches.
now, we get,
total Sample space = 20
the no of outcome for getting an apple = 5
so, required probability = 5/20
=1/4
=25%
Hence, The solution is, probability for getting an apple is 25%.
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6 pounds more than twice the weight, w
2x+6 is the required weight.
The weight of an object is defined as the force acting on the object due to gravity. It is a scalar quantity. Weight is measured in newtons.
In Physics, the gravitational force with which the earth attracts all the masses to its center is called weight.
In the given question,
Let the weight of an object is x.
6 pounds more than twice the weight means the required weight of an object will be the 2×weight of the object(x) + 6 pounds.
Therefore,
2x+6 is the required weight of the object.
The complete question is,
The weight of 1st object is x. The weight of the second object is 6 pounds more than twice the weight. What is the weight of the second object?
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The needed weight is 2x+6.
The force exerted on an object by gravity is known as the weight of the object. It has a scalar value. Newtons are a unit of weight.
Weight is the term used in physics to describe the gravitational force that pulls all masses toward the center of the earth.
In the posed query,
Let's say that an object weighs x pounds.
The needed weight of an object is the weight of the object(x) plus 6 pounds, which is 6 pounds more than twice the weight.
Therefore,
The object must weigh at least 2x+6.
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The complete question is:-
The first item weighs x pounds. The second object weighs 6 pounds more than it does, or more than twice as much. What does the second object weigh?
Consider the diagram below.
42°
18
y
Find x. Round to the nearest whole number!
Answer:
step by step Explanation:
Since this is a right triangle,
We can find the length b by using the Pythagoras theorem
a2+b2=c2
Plugin the values
→22+b2=62
→4+b2=36
→b2=32
Take the square root of both sides
→√b2=√32
→b=√16⋅2
⇒b=4√2
4x + 7y - 6z + 6y - 9x like terms
Answer:
-5x + 13y - 6z
Step-by-step explanation:
Another one the last one ASAP
Answer:
13m²
Step-by-step explanation:
Area=6.5*4÷2=13
Answer:
13m
Step-by-step explanation:
1/2 × bas × perpendicular height
Which of the following is a valid application of the distributive property?
Answer:
Only A
Step-by-step explanation:
Be is not distrubitive property and a is opening the parenteses
How do I tell if scatterplot is linear?
Susan gets $12.75 per hour for babysitting. If she babysits for 2.5 hours, how much money will she earn?
Answer:
31.42
Step-by-step explanation:
. Twice a number decreased by eight. if the number N, the expression is
Answer:
2n-8
Step-by-step explanation:
twice n is 2n. decreased by 8 is the -8
f(x) = 3x + 1
g(x) = 4x - 2
> (f + g)(2) + (2f + g)(1) = ?
9514 1404 393
Answer:
(f+g)(2) = 13(2f+g)(1) = 10Step-by-step explanation:
We can start by finding values of the functions at x=1 and x=2.
f(1) = 3(1) +1 = 4
f(2) = 3(2) +1 = 7
g(1) = 4(1) -2 = 2
g(2) = 4(2) -2 = 6
__
(f +g)(2) = f(2) + g(2) = 7 +6 = 13
__
(2f +g)(1) = 2f(1) +g(1) = 2(4) +2 = 10
At a restaurant, two salads, two sandwiches, and one drink cost $23. Three salads, one sandwich, and three drinks cost $24.50. A salad costs twice as much as a drink. How much does each item cost?
Answer:
Salad cost = $4
Sandwiches cost= $6.5
Drinks cist= $2
Step-by-step explanation:
Let salad = x
Sandwiches= y
Drinks= z
2x+2y+z= 23...... equation one
3x+y+3z= 24.5 .... equation two
X= 2z.... equation three
Substituting equation three into equation one and two
2(2z) +2y +z= 23....
3(2z)+y +3z= 24.5....
2y +5z= 23.... equation 4
y + 9z= 24.5...equation 5
Multiplying equation 5 with 2
2y +5z= 23
2y + 18z= 49
Solving simultaneously
13z= 26
Z= 26/13
Z= 2
2y +5z= 23
2y +5(2)= 23
2y= 23-10
2y= 13
Y= 6.5
X= 2z
X=2(2)
X= 4
Salad cost = $4
Sandwiches cost= $6.5
Drinks cist= $2
your friend claims that the average maximum amount of time people can hold their breath is less than 60 seconds. to check whether your friend's claim is true, you take a random sample of the maximum amount of time 10 people can hold their breath. 42 45 47 50 58 60 61 63 64 68 assume the population is approximately normal. perform a hypothesis test to determine whether the average maximum amount of time people can hold their breath is less than 60 seconds. use the alpha =0.05 level of significance.
a. state the null and alternate hypothesis
b. compute the value of the test statistic. round your intermediate calculations and final answer to at least three decimal places.
c. give the p-value
d. determine whether to reject the null hypothesis
e. state a conclusion in the context of the question (in the story of the problem)
Using the t-distribution, it is found that:
a)
The null hypothesis is: \(H_0: \mu \geq 60\)
The alternative hypothesis is: \(H_1: \mu < 60\)
b) t = -1.47
c) 0.0878.
d) Do not reject the null hypothesis.
e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
Item a:
At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:
\(H_0: \mu \geq 60\)
At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:
\(H_1: \mu < 60\)
Item b:
We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean. \(\mu\) is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:
\(\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10\)
Hence, the value of the test statistic is:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}\)
\(t = -1.47\)
Item c:
The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.
Using a t-distribution calculator, this p-value is of 0.0878.Item d:
The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.
Item e:
Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
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what would be your first step in completely factoring 6a^2-15a+6
The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).
In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:
3(2a^2 - 5a + 2)
Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.
The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:
3(2a - 1)(a - 2)
Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
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Given the graph of the quadratic function, identify the solutions.
Explanation:
The solutions, or roots, are the x intercepts of the graph. This is where the curve crosses or touches the x axis. In this case, the two x intercepts are -6 and 0.
HARDEST QUESTION EVER! WHAT IS 2+2=? NOBODY CAN GET THIS
Answer:
4
Step-by-step explanation:
its 4 duh
Answer:
Step-by-step explanation:
2 + 2 = 4
Aubrey and Charlie are driving to New York City. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Complete the function that models the distance they drive as a function of time. function notation in slope-intercept form: f(x) = f(x)= 50x + 20 Use the function you wrote in to complete the following: f(1.5) = . The value indicates that after hours of driving, Aubrey and Charlie will have traveled miles.
Answer:
ttttttttttttttttttttttttttt
Step-by-step explanation:
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is
shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²
= √1 + 4
= √5
-
What error, if any, did Heather make?
A. She substituted incorrectly into the distance formula.
B. She subtracted the coordinates instead of adding them.
C. She made a sign error when simplifying inside the radical.
OD. She made no errors.
The distance between points R and S is \(\sqrt{ (185)\). The correct answer is D. She made no errors.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²= √1 + 4
= √5
The error is with the order of subtraction in the formula for the distance between two points.
Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.
The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;
dAB = \(\sqrt{ ((x^2 - x1)^2 + (y2 - y1)^2)\)
Comparing the given question with the formula above, we have;
A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.
Therefore, we have;
RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)
On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS
= \(\sqrt{ (8^2 + 11^2)RS\)
= \(\sqrt{ (64 + 121)RS\)
= \(\sqrt{ (185)\)
Therefore, the distance between points R and S is \(\sqrt{ (185)\).
From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.
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Given: Parallelogram LMNO; MO ⊥ LN
Prove: LMNO is a rhombus.
Parallelogram L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. A square is drawn around point P. Sides L M and O N are parallel and sides L O and M N are parallel.
The proof of LMNO is a rhombus is shown below.
What is Rhombus?A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.
Given:
|LO|=|MN| and |LM|=|ON|
Since Opposite sides of a parallelogram are equal.
Now, LN⊥OM
So, ∠LPO = ∠NPO = 90° ( by definition of perpendicular lines)
LPO ≅ ∠NPO (by definition of congruent angles)
|LP|=|PN| (diagonals of a parallelogram bisect each other)
Thus, LMNO is a rhombus
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Answer:
♣: ✔ All right angles are congruent.
♦: ✔ reflexive property
♠: ✔ Opposite sides of a parallelogram are congruent.
All of the following are equivalent except
O 4y
O (4)
04.y
O 4+ y
Answer:
I think it's 4y
Step-by-step explanation:
I think it's 4y is because if y = 0 they all work but 4y which is 0 while all the others are 4
simplify fully 40/56
Answer:
5/7 i think
Step-by-step explanation:
prove that not every finite poset admits an embedding into the ordered set of triples of real numbers as in example 2.1.1.
Discrete Math
To prove that not every finite poset admits an embedding into the ordered set of triples of real numbers as in example 2.1.1, we need to find a finite poset that cannot be embedded into the ordered set of triples of real numbers. One such example is the poset consisting of four elements a, b, c, and d with the following relations: a < b, a < c, and b < d, c < d. This poset is shown below:
```
d
/ \
b c
\ /
a
```
This poset cannot be embedded into the ordered set of triples of real numbers because there is no way to assign real numbers to the elements a, b, c, and d such that the relations a < b, a < c, and b < d, c < d are preserved. If we try to assign real numbers to the elements in the form of triples (x, y, z), we will find that there is no way to satisfy all of the relations at the same time. For example, if we assign (1, 1, 1) to a, (2, 2, 2) to b, (3, 3, 3) to c, and (4, 4, 4) to d, then the relations a < b and a < c are satisfied, but the relations b < d and c < d are not satisfied. Similarly, if we assign (1, 1, 1) to a, (2, 2, 2) to b, (2, 2, 3) to c, and (3, 3, 3) to d, then the relations a < b, a < c, and b < d are satisfied, but the relation c < d is not satisfied. Therefore, we can conclude that not every finite poset admits an embedding into the ordered set of triples of real numbers as in example 2.1.1.
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a hexagonal pyramid is located ontop of a hexagonal prism. How many vertices are there?
The number of vertices when a hexagonal pyramid is located on top of a hexagonal prism is 13
How to determine the numberThe diagram takes that the base of the hexagonal pyramid is same as the hexagonal prism. This means that it has the same dimensions as the face of the hexagonal prism.
The common vertices are A,B,C,D,E,F and are 6 in numberThe bottom vertices are G,H,I,J,K,L, are also 6 in numberThe top of the pyramid, is 1 vertexSo, the total number of vertices will be the sum of all these vertices and is
= 6 + 6 + 1
= 13
Hence, the number of vertices when a hexagonal pyramid is located on top of a hexagonal prism is 13
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The circumference of a circle is 7π in. Find its radius, in inches.
Answer:
3.5 in
Step-by-step explanation:
Circumference = 2π(radius)
7π = 2π (radius)
7π/2π = radius
Pi in numerator and denominator cancel each other.
7/2 = radius
3.2 in = radius
Answer:
\( \bf \huge \: 11 \: inches.\)
Step-by-step explanation:
Given :The circumference of a circle is 7π in.to find :Find its radius, in inches.formula used :r = c/2where,
r = radius c = circumference explanation :⟼ r = c/2
⟼ r = 7×22÷7/2 in
⟼ r = 22/2 in
⟼ r = 11 in.
Hence, radius is 11 inches.In the state of Mississippi, there are limits to the numbers of fish from particular species that recreational fishers are allowed to catch. On one week 404040 recreational fishers caught king mackerel fish. The dot plot below shows the numbers of mackerel that they caught.
It should be noted that a dot plot, is also known as a strip plot or the dot chart. It is a form of data visualization which consists of the data points that are plotted as dots on a graph with an x- and y-axis.
How to illustrate the information?Your information is incomplete. Therefore, an overview will be given.It should be noted that fit plots are tge types of charts that are used to graphically show certain data trends or groupings
A dot plot is the graphical display of data using dots. It should be noted that a good example is the choice of foods that one and their friends ate for snacks.
A dot plot is a graphical display that is used in statistics that uses dots to represent data. They can be used for univariate data; which is, data with only one variable which is being measured. They are useful when the variable is quantitative.
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Happy Paws charges $16.00 plus $3.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $4.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
Answer:
First, set up equations for total cost for both Happy Paws and Woof Watchers.
x= number of hours
y= total cost
Happy Paws
y=3.50x +16
Woof Watchers
y=4.75x+11
4.75x+11=3.50x+16
x=4
You can check your answer by doing the following:
Happy Paws: (3.50)(4)+16= 30
Woof Watchers: (4.75)(4)+11= 30
Write the slope of tangent and normal to the curve y=f(X) at (x1,y1).
The slope of the tangent line is:
a = (df(x1)/dx)
The slope of the normal one is:
a' = -1/(df(x1)/dx)
How to find the slope of the tangent line?For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.
So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:
df(x1)/dx
And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:
a*(df(x1)/dx) = -1
a = -1/(df(x1)/dx)
Where df/dx reffers to the derivative of f(x).
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