The equation that has the solution x = -2 is:
O x² + 3x + 12 = 0
What number is halfway between 10 and 17
Answer:
13.5
Step-by-step explanation:
10+17=27
27/2=13.5
Answer:
13.5
Step-by-step explanation:
What number is halfway between 10 and 17
nvrm i got it i am him
What is the circumference of the circle? Use 3.14 for π
. Round your answer to the nearest hundredth. please help 100 points
Answer:
b)
Step-by-step explanation:
a private student loan at 4.25%, but the rate for such a loan could be 12.59%. Under the same circumstances as Self Check 2 ($10,000 principal, no interest paid while in school) and a rate of 12.59%, what would the principal be when you make your first payment 51 months later? What are some recent examples of community change that involves a clash between different cultures that helped disadvantaged communities and the populations.?
The principal when making the first payment 51 months later on a private student loan with a principal of $10,000 and a rate of 12.59% would be $15,307.13.
What is the principal?To calculate the principal when making the first payment 51 months later on a private student loan with a principal of $10,000 and a rate of 12.59%, we first need to calculate the amount of interest that has accrued over the 51 months.
Using the formula:
Interest = Principal x Rate x Time
where Principal = $10,000,
Rate = 12.59% per year,
Time = 51/12 years (since the interest is compounded monthly):
Interest = $10,000 x 0.1259 x (51/12)
= $5,307.13
So the total amount owed after 51 months would be:
Total amount owed = Principal + Interest
= $10,000 + $5,307.13
= $15,307.13
Therefore, the principal when making the first payment 51 months later on a private student loan with a principal of $10,000 and a rate of 12.59% would be $15,307.13.
As for recent examples of community change that involves a clash between different cultures that helped disadvantaged communities and the populations, one example is the Black Lives Matter movement, which has brought attention to systemic racism and police brutality in the United States. Another example is the #MeToo movement, which has raised awareness about sexual harassment and assault and has led to changes in workplace policies and cultural attitudes toward these issues.
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If f(x)={x+4 if x≤−2
-x if x>−2,
what is f(−4)?
A. -2
B. 4
C. -4
D. 0
Since -4 is less than or equal to -2, we use the first part of the definition of f(x) which is f(x) = x + 4 if x ≤ -2. Therefore,
f(-4) = (-4) + 4 = 0.
So, the answer is D. 0.
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
Based on the data in the sample, we can estimate that 900 people in attendance would prefer mustard on a hot dog.
How to find the number of people that would prefer mustard on a hot dogAccording to the data provided, out of the 150 people surveyed, 27 people prefer mustard on a hot dog.
To estimate how many people in attendance would prefer mustard on a hot dog, we can use a proportion:
27/150 = x/5000
Where x is the number of people in attendance who would prefer mustard on a hot dog.
To solve for x, we can cross-multiply:
27 x 5000 = 150 x
Simplifying the equation, we get:
x = (27 x 5000)/150
x = 900
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In a survey, 150 shoppers were asked whether they have access to a computer at home and if they have a personal e-mail account. Their responses are summarized in the following table. E-Mail account No e-mail account Computer access at home 44 22 No computer access at home 7 77 (a) What percentage of the shoppers have an e-mail account? (b) What percentage of the shoppers do not have computer access at home?
In linear equation, 44% of the shoppers have an e-mail account and 56% of the shoppers do not have computer access at home.
What is a linear equation in mathematics?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
Total number of the shoppers who were surveyed = 150
a). Number of shoppers who have an e-mail account = Shoppers who have email accounts and computer access at home + Shoppers who have email accounts but no computer access at home
= 44 + 22
= 66
Percentage of the shoppers having an e-mail account = 66/150 * 100
= 44%
b). Total number of shoppers who do not have computer access at home
= 7 + 77
= 84
Percentage of the shoppers having computer access at home
= 84/150 * 100 = 56%
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A bag contains 41 U.S. quarters and nine Canadian quarters. (The coins are identical in size.) If six quarters are randomly picked from the bag, what is the probability of getting at least one Canadian quarter? (Round your answer to one decimal place.
%
Answer:
The coins are picked without replacement.
The probability of picking at least one Canadian quarter is 1 minus the probability of picking 6 U.S. quarters:
[tex]1 - ( \frac{41}{50} )( \frac{40}{49} )( \frac{39}{48} )( \frac{38}{47} )( \frac{37}{46} )( \frac{36}{45} ) [/tex]
[tex] = 1 - .28296 = .71704[/tex]
So the probability of picking at least one Canadian quarter is about 71.7%.
How to solve it and the answer
Answer: The answer is, y=18x
Step-by-step explanation: This is going up by 18 as the y axis increases by 9. Hope this helped :)
Each of forty-nine moviegoers was asked, "What is your favorite movie type?"
Here are the results.
12 men and 10 women chose "Drama".
. 14 men and 13 women chose "Action".
Construct a two-way frequency table for the data.
The numbers in each cell represent the frequency of people who chose that combination of gender and movie type.
What is the frequency?
The number of periods or cycles per second is called frequency. The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.
To construct a two-way frequency table for the data, we need to organize the responses by gender and movie type. The table is in the attached image.
The rows represent the gender of the moviegoers, and the columns represent the movie type.
The numbers in each cell represent the frequency of moviegoers who chose that combination of gender and movie type.
For example, there are 12 men who chose Drama as their favorite movie type, and there are 13 women who chose Action as their favorite movie type.
The total number of moviegoers who chose Drama is 22, and the total number who chose Action is 27. The total number of moviegoers is 49.
Hence, The numbers in each cell represent the frequency of people who chose that combination of gender and movie type. For example, 12 men chose Drama as their favorite movie type.
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Jeff car travels 25 miles on a gallon so f gas. The car’s gas tank has a capacity of 10 gallons. Before work, Jeff , stopped at a gas station where 10 gallons of gas would cost 41.90. His tank was already 2/5 full and he only spent 16.76 on gas. What is the maximum distance that he can travel
question attached
A. 5
B. 16
C. function is not defined for this value
D. 9
F(4)=9 is the value for this function.
What is piecewise function?A function that is defined by numerous smaller functions across various time intervals is known as a piecewise function. The domain of a function is the sum of all the smaller domains, and each sub-function has its own formula and domain. The input value and the function that establishes that interval determine the function's output.
The typical functional notation, which represents the body of a function as an array of functions and related subdomains, can be used to define piecewise functions. Together, these subdomains must encompass the entire domain; frequently, it is also necessary for them to be pairwise disjoint, or constitute a partition of the domain.
x=4 is bigger than or equal to 0 because it.
we use the third function definition
F(x)=x+5.
Therefore, F(4)=4+5=9.
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Given this equation what is the value of y at the indicated point?
Answer: y=2
Step-by-step explanation:
We're given x=1 so we can plug this in 3x - y =1 and isolate to solve for y.
[tex]3(1)-y=1\\3-y=1\\-y=-2\\y=2[/tex]
Which expressions are equivalent to -8/13
The expressions that are all equivalent to 3/5 - 8/13 +2/9 are:
- 8/13 + 3/5 +2/9(3/5 +2/9) - 8/13How can the expressions be known?A mathematical expression is a combination of numbers, variables, operators, and symbols that represents a mathematical relationship or calculation. Mathematical expressions can be written using a variety of mathematical notations, such as algebraic notation, set notation, or calculus notation.
We were given the expression 3/5 - 8/13 +2/9, then we can see that the only negative value is - 8/13 , then we can see that the only options that have a negative value of - 8/13 is option B,D. Therefore, option B and E are correct.
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complete question;
Which expressions are all 3/5 - 8/13 +2/9 ?
Find the Volume of this shape.
Therefore, the volume of the prism is 60 cubic feet.
What is volume?Volume is the amount of space occupied by a three-dimensional object or the capacity of an object. It is typically measured in cubic units such as cubic meters, cubic feet, or cubic centimeters. The formula for finding the volume of a solid object depends on its shape. In general, the volume of a shape can be found by dividing it into smaller, more easily measured shapes and adding up their volumes. This is known as the method of integration in calculus, and it is used to find the volumes of irregularly shaped objects or fluids. Understanding the concept of volume is important in many fields, such as architecture, engineering, physics, and chemistry. In these fields, volume is used to determine the capacity of containers, the displacement of fluids, and the amount of materials needed for a construction project.
Here,
The volume of a prism is given by the formula:
V = Bh
where B is the area of the base and h is the height of the prism.
Substituting the given values:
V = (20 ft)(3 ft)
V = 60 cubic feet
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during the winter months, Starbucks has a sale every 4 days and a McCafe has a sale every 5 days. If stores had a sale today, when is the next time both stores will have sales on the same day
Check the picture below.
so we can just look at it as the LCD and 4 and 5 is 20, so they'll have a simultaneous sale every 20 days or every LCD time.
Tyrone has $800 in a savings account that earns 10% annually. The interest is not compounded. How much will he have in total in 1 year?
Answer: $80
Step-by-step explanation:
If Tyrone's savings account earns a simple 10% annual interest and is not compounded, then the interest for one year can be calculated using the formula:
Interest = Principal × Rate × Time
where:
Principal = $800
Rate = 10% = 0.1
Time = 1 year
Interest = $800 × 0.1 × 1 = $80
Tyrone will earn $80 in interest in 1 year. To find the total amount in his account after 1 year, we add the interest to the principal:
Total amount = Principal + Interest
Total amount = $800 + $80 = $880
In 1 year, Tyrone will have $880 in total in his savings account.
Answer:
$880
Step-by-step explanation:
10% = .1
800 x .1 = 80
80 + 800= 880
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass.
Starting with 155 grams of radioactive isotope, how much will be left after 5 half-lives?
Use the calculator provided and round your answer to the nearest gram.
After 5 half-lives, only 3.9 g of the original 155 g of radioactive isotope will remain.
What is number?Number is a mathematical object used to count, measure, and label. It is an abstract concept that can be represented in a variety of forms, such as the natural numbers, real numbers, and complex numbers. Numbers can be used to describe physical quantities, such as volume, mass, and time, as well as abstract quantities, such as sets, functions, and abstract objects. Numbers are also used to represent concepts such as truth, beauty, and goodness.
To calculate this, we can use the formula:
Final Mass = Initial Mass * (1/2)Number of Half Lives
In this case, the Initial Mass is 155 g, and the Number of Half Lives is 5. Therefore, the equation to use is:
Final Mass = 155 g * (1/2)⁵
Plugging the numbers into the equation, we get:
Final Mass = 155 g * (1/2)⁵
Final Mass = 155 g * (1/32)
Final Mass = 3.9 g
Therefore, after 5 half-lives, only 3.9 g of the original 155 g of radioactive isotope will remain. This is due to the fact that the half-life of a radioactive isotope is the amount of time it takes for the isotope to be reduced to half its original mass. As the number of half-lives increases, the amount of the isotope left decreases exponentially.
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Sketch 3 points to make a figure what kind Of polygon did you draw
If three points that are provided are not collinear then the only possible polygon that can be formed by connecting these points would be a triangle.
What is a polygon?A polygon is a closed two-dimensional shape made up of straight line segments called sides. It is formed by connecting three or more points (vertices) in a specific order. The sides of a polygon do not intersect, and each vertex is connected to exactly two sides. The region enclosed by the sides of a polygon is called its interior, while the points outside the polygon but on the same plane are called its exterior.
If three points are provided and they are not collinear (i.e., they do not lie on the same straight line), then the only possible polygon that can be formed by connecting these points would be a triangle(refer image attached). A triangle is a polygon with three sides and three angles.
The specific type of triangle (e.g., equilateral, scalene, isosceles) would depend on the lengths of the sides and the measure of the angles formed by connecting these points in a specific order. Different orders of connecting the points may result in different types of triangles.
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What is the domain of the function graphed at right?
Answer:
d. x > 2 or x < -2
Step-by-step explanation:
Domain describes the range of x-values in a function.
Domain
The domain of a graph is all of the x-values covered by the function. The domain does not reflect the y-values of a function. This means that answers A and B are automatically wrong.
By looking at the graph, we can tell that there is a gap where some x-values are not covered. This gap is known as a discontinuity. The discontinuity begins at -2 and ends at 2. All of the x-values in the discontinuity are not a part of the domain, and any parts of the graph that are continuous, are included in the domain. The graph is continuous at all points greater than 2 and less than -2, so all of those values are included in the domain. Now, we just need to find out if the endpoints are included in the domain.
Included Values
We know that the domain includes all x-values greater than 2 and less than -2, but we need to know if the domain includes 2 and -2. On a graph, included values will be shown as a closed circle and non-included values will be shown as an open circle. By looking at the graph, we can tell that 2 is not included but -2 is. This means that the domain is x > 2 or x < -2 because the domain does not include x = 2.
One-fourth of a number is one-eighth. Find the number.
Step-by-step explanation:
x = the number
1/4 * x = 1/8 <====given, Multiply both sides of the equation by 4
4 * 1/4 x = 4 * 1/ 8
x = 4/8 = 1/2
Step-by-step explanation:
Let the given number Be X
SO given thatone fourth of X is one eighth
x/4 = 1/8
x = 1/2
x = 0.5
so the given number is 0.5Dravin is painting a cone -shaped centerpiece for the school dance . The centerpiece had a diameter of 12 inches and slant height of 19 inches . What is the total surface area that needs painting? Round your answer to the nearest whole number
The total surface area that needs painting is approximately 487 square inches.
What is the cone total surface area?
The total surface area (TSA) of a cone is given by the formula:
TSA = πr(r + l)
The surface area of a cone can be calculated using the formula:
[tex]Surface Area = \pi r(r + \sqrt{(r^2 + h^2)} )[/tex]
where r is the radius of the base of the cone and h is the slant height of the cone.
Given:
Diameter of the cone = 12 inches
Radius (r) = Diameter / 2 = 12 / 2 = 6 inches
Slant height (h) = 19 inches
Plugging in the values into the formula, we get:
[tex]Surface Area = \pi * 6 * (6 + \sqrt{(6^2 + 19^2)} )[/tex]
Calculating the value inside the square root:
[tex]\sqrt{(6^2 + 19^2)} = \sqrt{(36 + 361) } = \sqrt{397} = 19.92[/tex] (rounded to two decimal places)
Substituting the value back into the formula:
[tex]Surface Area = \pi * 6 * (6 + 19.92) = \pi * 6 * 25.92 = 487.34[/tex] square inches (rounded to two decimal places)
Hence, the total surface area that needs painting is approximately 487 square inches.
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50 Points! Multiple choice algebra question. Shen is simplifying the expression (3x^4+4x^2) (x^3-2x^2-1). Which of the following shows the correct product. Photo attached. Thank you!
So, multiple choice algebra questions. the correct answer would be option D: [tex]3x^7 - 6x^6 - 11x^4 + 4x^5 - 4x^2[/tex].
To simplify the given expression [tex](3x^4+4x^2) (x^3-2x^2-1)[/tex], we can use the distributive property of multiplication to multiply each term of the first expression by each term of the second expression. This gives us:
[tex](3x^4+4x^2) (x^3-2x^2-1) \\= 3x^4(x^3) + 3x^4(-2x^2) + 3x^4(-1) + 4x^2(x^3) - 4x^2(2x^2) - 4x^2(1)[/tex]
Simplifying each term, we get:
[tex]= 3x^7 - 6x^6 - 3x^4 + 4x^5 - 8x^4 - 4x^2[/tex]
So, the correct answer would be option D: [tex]3x^7 - 6x^6 - 11x^4 + 4x^5 - 4x^2.[/tex]
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please help me in this question
Answer:
step by step explanation:
All you have to do is expand and reduce the expressions
then evaluate -2 being a root of the expressions
To do that you need to substitute -2 into the simplified expressions
if the result comes as zero then f(-2) is factor of f(x) according to the factor theorem.
Example 1.
simplify (-5x-2)(7x-4)-2x+3
if you substitute f(x) as f(-2)
then substitute x with -2
when you simply and evaluate the expression you will get that the expression is equal to -137
which means -2 isn't a root since the expression must be equal to 0
-2 is not a root
do the same for the other expressions
A trucking firm wants to purchase 10 trucks that will provide exactly 28 tons of additional shipping capacity. A model A truck holds 2 tons, a model B truck holds 3 tons, and a model C truck holds 5 tons. How many trucks of each model should the company purchase to provide the additional shipping capacity?
Answer: Let's assume that the trucking firm purchases x trucks of model A, y trucks of model B, and z trucks of model C.
We know that the total number of trucks purchased should be 10, so:
x + y + z = 10
We also know that the total additional shipping capacity provided by the trucks should be 28 tons, so:
2x + 3y + 5z = 28
Now we have two equations with three variables. We can solve for one variable in terms of the other two, and substitute that expression into the other equation to get an equation with only two variables. For example, we can solve the first equation for x:
x = 10 - y - z
And substitute into the second equation:
2(10 - y - z) + 3y + 5z = 28
Expanding and simplifying:
20 - 2y - 2z + 3y + 5z = 28
Combining like terms:
y + 3z = 4
Now we have two equations with two variables:
x + y + z = 10
y + 3z = 4
We can solve for y in the second equation:
y = 4 - 3z
And substitute into the first equation:
x + (4 - 3z) + z = 10
Simplifying:
x + 1z = 6
x = 6 - z
Now we have three equations with three variables:
x + y + z = 10
2x + 3y + 5z = 28
x = 6 - z
We can substitute the expression for x into the first equation:
(6 - z) + y + z = 10
Simplifying:
y = 4 - (6 - z)
y = z - 2
Now we have expressed all three variables in terms of z. We can substitute these expressions into the second equation and solve for z:
2(6 - z) + 3(z - 2) + 5z = 28
Simplifying:
12 - 2z + 3z - 6 + 5z = 28
Combining like terms:
6z + 6 = 28
Solving for z:
z = 3
Now we can use the expressions for x and y to find how many trucks of each model the company should purchase:
x = 6 - z = 3
y = z - 2 = 1
Therefore, the company should purchase 3 trucks of model A, 1 truck of model B, and 6 trucks of model C to provide exactly 28 tons of additional shipping capacity.
Step-by-step explanation:
A researcher is standing in a corner (point c) of a triangler plot. the angle to point a is S76E the angle to point b is N32E The distance between point c and point a is 210 ft and the distance between point c and point b is 150 ft
find the distance between point a and point b
The distance between points A and B is approximately 170.4 ft.
How to find the distance between point a and point bTo solve the problem, we can use the law of cosines. Let's call the angle between points A and B "x". Then we have:
cos(x) = (150^2 + 210^2 - 2(150)(210)cos(180°-76°-32°))/ (2(150)(210))
Simplifying this expression, we get:
cos(x) = 1/2
To solve for x, we take the inverse cosine of both sides:
x = cos^(-1)(1/2)
Using a calculator, we find that:
x ≈ 60°
Now we can use the law of sines to find the distance between points A and B:
sin(76°) / 210 = sin(60°) / d
where d is the distance between points A and B.
Simplifying this expression, we get:
d = 210sin(60°) / sin(76°)
Using a calculator, we find that:
d ≈ 170.4 ft
Therefore, the distance between points A and B is approximately 170.4 ft.
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Explain how to find the length of XY
The length of XY uisng the midpoint theorem is 40 units
Finding the length of XYThe midpoint theorem states that if a line segment is drawn connecting the midpoints of two sides of a triangle, then that line segment is parallel to the third side of the triangle, and its length is half the length of the third side.
In this case, we have a triangle XYZ, and points A, B, C are the midpoints of sides XY, YZ, and ZX respectively.
By the midpoint theorem, we know that AB is parallel to ZX and has a length of half of ZX.
Similarly, BC is parallel to XY and has a length of half of XY, and AC is parallel to YZ and has a length of half of YZ.
We are given that BC has a length of 20, and we want to find the length of XY.
Using the midpoint theorem, we know that
XY is twice the length of BC
So
XY = 2 * BC = 2 * 20 = 40.
Therefore, the length XY is 40 units
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can u slove ASAP please
Answer:
B) 352
Step-by-step explanation:
45% = 0.45
640 x 0.45= 288
288 is how many students walked to school
So to find how many took the bus to school
640- 288= 352
How to simplify algebraic expression by combining the like terms 1/3+2x+1/2
Answer:
2x + [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
The like terms that you want to combine is 1/3 and 1/2. You need a common denominator which would be 6
[tex]\frac{1}{3}[/tex] = [tex]\frac{2}{6}[/tex]
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]
2x + [tex]\frac{2}{6}[/tex] + [tex]\frac{3}{6}[/tex]
2x + [tex]\frac{5}{6}[/tex] You cannot combine this with the 2 because the 2 is multiplied by x.
Helping in the name of Jesus.
All the students in the sixth grade either purchased their lunch or bought their lunch from home on Monday. 24% of the students purchased their lunch. 190 students bought their lunch from home. How many students are in the sixth grade?
There are 250 students in the sixth grade.
How to find number of students?First, let's define some variables:
The total number of sixth-grade students is called "x."
The number of students who purchased their lunches will be referred to as "p."
The number of students who brought their lunch from home will be referred to as "h."
We know that from the problem statement that
p + h = x (since all students either purchased their lunch or brought their lunch from home)
p = 0.24x (since 24% of the students purchased their lunch)
h = 190 (since 190 students brought their lunch from home)
We can use these equations to solve for x:
p + h = x
0.24x + 190 = x (substituting in the value of p and h from the other equations)
0.76x = 190 (subtracting 0.24x from both sides)
x = 250 (dividing both sides by 0.76)
Therefore, there are 250 students in the sixth grade.
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