Answer:
[tex]98533 \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2956}{0.03}=\frac{295600}{3}=98533 \frac{1}{3}[/tex]
The equation for the motion of an object with constant acceleration is d=vt+0.5at2where d is distance traveled in ft, v is starting velocity in ft/s, a is acceleration inft/s2, and t is time in seconds. A racecar begins with a velocity of 200 ft/s andaccelerates at 100 ft/s2.8Write an expression for the distance the car travels after t seconds.
Replacing the values in the equation, we have:
D(t) = (200 ft/s)*t + 0.5*(100 ft/s2)*t^2
D(t) = (200 ft/s)*t + (50 ft/s2)*t^2 (Multiplying)
The answer is:
D(t) = (200)*t + (50)*t^2 (Distance in ft)
I need help solving this practice problem from my trig prep book
The period of a trigonometric function is the distance between each repetition of the function.
In this case, we have:
As we can see in the graph of the function, the distance between each repetition is 2π.
Therefore, the period of f(x) = csc(x) is 2π.
A restaurant leaves comment cards on all of its tables to learn about customer satisfaction. Each comment card is a brief survey that customers can fill out if they choose to.
To learn about customer satisfaction, a restaurant places comment cards on each table. Each comment card contains a brief survey that customers can complete if they want to participate in the voluntary response sample.
What is meant by voluntary sample?Voluntary sampling occurs when researchers seek willing subjects for their study. You can solicit volunteers in person, online, through open postings, and a variety of other methods. When using voluntary sampling, a researcher frequently neglects to manage sample makeup.A voluntary response sample is a sample made up of volunteers. When compared to a random sample, these types of samples are almost always biased.A voluntary response sample is made up of people who freely chose to participate in the sample group. Those who want to participate in a voluntary response sample usually do so because they are interested in the survey's topic.
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2 cubed x what x 5 = 120
please i really need help
Answer:
2x3x5=120
Step-by-step explanation:
Answer:
30 is the missing number.
Step-by-step explanation:
The equation is,
→ 2³ × x × 5 = 120
Then the value of x will be,
→ 2³ × x × 5 = 120
→ 8 × x × 5 = 120
→ x × 40 = 120
→ x = 120/40
→ [ x = 30 ]
Hence, the value of x is 30.
Factor the expression. - 35a - 30
Answer:
-5(7a+ 6)
Explanation:
Given the expression:
-35a - 30
-35a = -5 * 7 * a
-30 = -5 * 6
You can see from the factors that -5 is common to both
Hence -5 is the GCF
Factoring out -5 from the expression will give;
-5(7a+ 6)
This gives the correct factor
What does -(-82) mean and my teacher said evaluate too
Answer:
82
Step-by-step explanation:
it means minus of minus 82. minus times minus equals to plus so the given number is a positive number.
Write the quadratic equation in Standard From whose graph has the following: x-intercepts: 2, 5 passes through the point (4, -2) Group of answer choices
The equation of the quadratic equation is y = x² - 7x + 10.
What is x-intercept of a graph?
The points where a line crosses x- axis and y- axis are known as the x-intercept and the y-intercept, respectively.
Given that the x-intercepts of the graph are 2 and 5.
If a and b x-intercepts of a graph, then the equation of the graph is y = A(x -a)(x - b).
Assume the equation of the quadratic equation will be y = A(x -2)(x - 5).
The graph is passes through the point (4, -2).
Putting x = 4 and y = -2 in the equation y = A(x -2)(x - 5)
-2 = A(4 -2)(4 - 5)
-2 = -2A
A = 1
The equation of the quadratic equation is y = (x -2)(x - 5)
y = x² - 7x + 10.
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Solve: -8 + | 1 + 9x | ≤ 2
Answer:
-11/9 and 1
Step-by-step explanation:
Section 1/3 (From our Algebra 2 textbook) Solve the system of linear equations in two variables by elimination or substitution. 33. 3x + y =7 - 2x - y =9
Answer:
The solution to the given system of linear equation is;
[tex]\begin{gathered} x=16 \\ y=-41 \end{gathered}[/tex]Explanation:
Given the linear system of equation;
[tex]\begin{gathered} 3x+y=7\text{ ---------------1} \\ -2x-y=9\text{ --------------2} \end{gathered}[/tex]We want to solve the simultaneous equation by elimination.
We need to eliminate either x or y. from the given equation, we can see that by adding equation 1 and 2 together we can eiminate y;
So, let's add equation 1 and 2 together;
[tex]\begin{gathered} 3x-2x+y-y=7+9 \\ x=16 \end{gathered}[/tex]Since we have the value of x, we can use it to get y by substituting into equation 1;
[tex]\begin{gathered} 3x+y=7 \\ 3(16)+y=7 \\ 48+y=7 \\ y=7-48 \\ y=-41 \end{gathered}[/tex]Therefore, the solution to the given system of linear equation is;
[tex]\begin{gathered} x=16 \\ y=-41 \end{gathered}[/tex]AyA(-5,6)B (3,6)D(-5,-1)C(3,-1)-20-laFind the area of the rectangle ABCD.B. 72 square unitsA. 40 square unitsC. 56 square unitsD. 36 square units
Given:
Given a rectangle with coordinates A(-5, 6), B(3, 6), C(3, -1) and D(-5, -1).
Required: Area of rectangle ABCD
Explanation:
First, find the length and width of the rectangle.
[tex]\begin{gathered} \text{ Length, }DC=\sqrt{(-5-3)^2+(-1-(-1))^2} \\ =\sqrt{(-8)^2+0^2} \\ =8 \\ \text{ Width, }BC=\sqrt{(3-3)^2+(6-(-1))^2} \\ =\sqrt{0^2+7^2} \\ =7 \end{gathered}[/tex]The are of the rectangle is
[tex]\begin{gathered} A=\text{Length}\times\text{Width} \\ =8\times7 \\ =56 \end{gathered}[/tex]Option C is correct.
Final Answer: Rectangle ABCD has area 56 square units.
Simplify the expression: 2-5-(2/3
6
1
12
5-(²/3 + 10)
Answer:
you can get back to you on that date is
Step-by-step explanation:
yay I will get back to you on that date is the family
Given that 1+i is a root of the equation
x³ + 2x² + λx + μ = 0,
(a) find the values of the real constants λ and μ,
(b) find all the other roots of the equation.
[10]
(a) The values of the real constants λ and μ are -6 and 8, respectively.
(b) The roots of the equation are (1 + i), (1 - i), and -4.
We are given an equation. The equation is cubic in nature. It means the equation has three roots. The equation is given below.
x³ + 2x² + λx + μ = 0
One of the roots of the equation is given to us. The known root is "1 + i". The given root is a complex root. We know that complex roots occur in conjugate pairs. So, another root of the equation is "1 - i". Let the third root be represented by the variable "a". We can form the factors as given below.
[x - (1 + i)][x - (1 - i)](x - a) = 0
[x² - x(1 - i) - x(1 + i) + (1 + i)(1 - i)](x - a) = 0
[x² - x + ix - x - ix + (1² - i²)](x - a) = 0
[x² - 2x + (1 + 1)](x - a) = 0
(x² - 2x + 2)(x - a) = 0
x³ - ax² - 2x² + 2ax + 2x - 2a = 0
x³ - (a + 2)x² + (2a + 2)x - 2a = 0
This equation must be the same as the given equation. Now we will compare the coefficients of different powers of "x".
First, we compare the coefficient of x².
2 = -(a + 2)
a + 2 = -2
a = -4
Now, we compare the coefficient of x.
λ = 2a + 2
λ = 2*(-4) + 2
λ = -8 + 2
λ = -6
Now we compare the constant terms.
μ = -2a
μ = -2*(-4)
μ = 8
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
What is the answer to: -32/40 - 35/40
Answer:
To subtract fractions, find the LCD and then combine.
Exact Form:
− 67/40
Decimal Form:
− 1.675
Mixed Number Form:
− 1 27/40
Step-by-step explanation:
Please give the brainliest.
Answer:
− 67/40 or -1 27/40
Step-by-step explanation:
Subtract:
-32/40 - 35/40 =
-67/40
Change into a mixed number (optional):
− 67/40 =
− 1 27/40
Not equivalent to 3x -6
The equivalent equation for 3x - 6 is 3(x - 2).
What is equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
Given equation:
3x - 6
Take 3 as common from both the term,
= 3(x - 2)
Therefore, the equivalent equation for 3x - 6 is 3(x - 2).
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PLEASE HELP ASAP! I am struggling fr rn
Answer:
1. -8
2. -4
3. 17
Step-by-step explanation:
To solve these questions, all you need to do is plug in the number into the function.
1. (2)² - 4(2) - 4
= 4 - 8 - 4
= -8
2. (4)² - 4(4) - 4
= 16 - 16 - 4
= -4
3. (-3)² - 4(-3) - 4
= 9 + 12 - 4
= 17
find the perimeter of the following polygon in these sorts of junk food the correct unit in your answer
Solution
Given a trapezoid with the following dimensions
[tex]10ft,10ft,11ft,15ft[/tex]To find the perimeter, P, of the polygon, we add up all the side lengths i.e the formula to find the perimeter, P, of the trapezoid is
[tex]\begin{gathered} P=a+b+c+d \\ \text{Where a, b, c and d are the side lengths} \end{gathered}[/tex]Where
[tex]\begin{gathered} a=10ft \\ b=10ft \\ c=11ft \\ d=15ft \end{gathered}[/tex]Subsitute the values into the formula above
[tex]\begin{gathered} P=10+10+11+15=46 \\ P=46ft \end{gathered}[/tex]Hence, the perimeter is 46ft
Catherine drives to school each day and lives 5 miles away. After school, she drives to Kroger , which is 2 additional miles away from her house. Then she heads home and studies for a test before having dinner. Sketch a graph showing Catherine's distance from her home throughout the day.
The total distance covered by catherine is 10 miles as the problem says, " Catherine drives to school each day and lives 5 miles away. After school, she drives to Kroger , which is 2 additional miles away from her house. Then she heads home and studies for a test before having dinner".
What is distance?Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point. The magnitude or size of displacement between two positions is defined as distance. The distance between two points differs from the distance traveled between them. The total length of the path traveled between two points is referred to as the distance traveled. Travel distance is not a vector. Distance refers to "how much ground an object has covered" while moving, whereas displacement refers to how far an object is out of place. Displacement is a Vector quantity, whereas distance is a Scalar quantity.
Here,
The total distance from home to school=5 miles
She goes to kroger that is 2 miles from her home,
so, 5-2=3 miles
So she travels 3 miles back from school.
Then she goes 2 miles from kroger to home.
5+3+2=10 miles
According to the problem, Catherine's total distance traveled is 10 miles "Catherine lives 5 miles away and drives to school every day. She drives to Kroger after school, which is two miles away from her house. She then returns home to study for a test before eating dinner ".
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Data can be displayed in many different ways: using tables, graphs, and equations. What are the benefits and drawbacks of each of these models?
Answer:
There are many different ways to portray your findings for an individual to view and understand. However, each have their pros and cons. When using a table, all of the specific numbers of your data can clearly be seen and compared with one another without having to analyze a picture. However, since there is no visual correlation that shows the growth and decline of your data, someone who best comprehends visually may not be able to understand your findings. It sis best to vary your sources of displaying information to make sure that it is all able to be understood by any viewer. When using a graph, you have a clear visual representation of the correlation of your variables in your experimentation. This allows the viewer to comprehend your data as a picture and see the change as the picture moves. However, it take further analysis and cross referencing to get specific quantitative data as you are required to read across and down the graph. And finally, when using equations you can show the direct way that the change was caused in your experiment. Each equation has a specific input and output. However, the drawback is the person viewing your data may have to solve the equations themselves to find out your data or simply be confused as equations don’t directly show data, but rather how to find it. It is important to have a varied combination of these things to allow for your data to be throughly understood by anyone viewing it. I hope this helps! :)
Step-by-step explanation:
What are the next four multiples of 1/7
What are the next four multiples of 1/7 ?
so, it will be :
[tex]\begin{gathered} 2\cdot\frac{1}{7}=\frac{2}{7} \\ \\ 3\cdot\frac{1}{7}=\frac{3}{7} \\ \\ 4\cdot\frac{1}{7}=\frac{4}{7} \\ \\ 5\cdot\frac{1}{7}=\frac{5}{7} \end{gathered}[/tex]Restrict the domain of the function so that the function is a one-to-one function and has an inverse. Find the inverse function, State the domain and ranges of the function and its inverse. Explain your results.
The radius of a circle is 3 centimeters. What is the circumference?Give the exact answer in simplest form. ___ centimeters (pi, fraction)
ANSWER
[tex]18\frac{6}{7}[/tex]SOLUTION:
The formula for circumference is 2 * pi * r
the value of pi can be estimated as 3.14 or 22/7
Using the formula
[tex]\begin{gathered} 2\text{ }\times\text{(}\frac{22}{7}\text{)}\times3 \\ \frac{132}{7} \\ 18\frac{6}{7} \end{gathered}[/tex]What is the perpendicular slope to your line? I got the Slope along with the slope-intercept. but I keep getting 0.33333 (etc) for the perpendicular and i dont know if it right tells me to show all my work
The perpendicular slope of the given line is -1/3.
What is a perpendicular?In elementary geometry, two geometric objects are perpendicular if they intersect at right angles.The squareness condition can be represented graphically using the squareness symbol ⟂.Can be defined between two lines, between a line and a plane, and between two planes.Two perpendicular lines make a right angle.The word "perpendicular" means "right angle".This is because when two straight lines intersect, they form a right angle.Vertical lines can point in any direction.
Slope formula = y₂-y₁ / x₂₋x₁Now, insert values in the formula and calculate as follows:
Slope = y₂-y₁ / x₂₋x₁Slope = -1 -3 / 4 - (-8)Slope = -4/12 = -1/3Therefore, the perpendicular slope of the given line is -1/3.
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HELP!!!!!!!!!! I NEED THIS ASAP PLEASE!!!
Graph the systems of equations.
Both the equations are plotted on the graph and they intersect each other on (2, 4).
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, graph the equation as follows:
2x + y = 8-x + 2y = 6So plot as:
(Refer to the graph attached below)The lines of both equation intersect at (2, 4).Therefore, both the equations are plotted on the graph and they intersect each other on (2, 4).
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Which of the following is an equivalent expression of 18x² +14x + 7?
Answer:
The second one
Step-by-step explanation:
....is just the equation with the order of the terms re-arranged
2.1 A new field is to be turned into a soccer ground. It is covered in weeds and volunteers are needed to clear it. It was estimated that it would take 2 men 12 days to weed. The following table was drawn up: No. of Volunteers 3 5 6 No. of days 12 4 2.1.1 Complete the table above. (6) 2.1.2 Is the relationship represented direct or indirect proportion? Give a reason for your answer. (3) 2.1.3 Give the names of the two variables given above and indicate which is independent and which is dependent? (4) 2.1.4 If the field must be complete in 1 day, how many volunteers will be needed? (2) 2.1.5 Draw a graph on the set of axes provided below to represent the data given (5) above. Number of days to weed a field. 12 11 10 9 No. 00 N of 6 5 days 1 3 2 1 0 0 1 2 3 5 6 7 8 DO 9 11 12
For 2 Volunteers hours= 12 days
For 3 = X days = 10 days
For 4= 8 days
For 5 = 6 days
from 12 to 4 there are 8
And from 6 to 2, there are 4
Then divide 8/4= 2
Part B) Is an INVERSE relationship, because more volunteers, means less time
Part C) Independent variable is , number of volunteers
Dependent variable is time to clear soccer field
Part D) How many volunteers in 1 day ?
= 12+2= 14 volunteers
If you would like to make $2283 in 9 years, how much would you have to deposit in an account that pays simple interest of 5%
To solve this question, we would use the formula of simple interest.
[tex]\begin{gathered} S\mathrm{}I=\text{PRT} \\ s\mathrm{}i=\text{simple interest} \\ p=\text{ principal} \\ r=\text{rate} \\ t=\text{time} \end{gathered}[/tex]So the given data are
[tex]\begin{gathered} p=\text{?} \\ s\mathrm{}i=2283 \\ t=9 \\ r=5\text{ \%=0.05} \end{gathered}[/tex]We would need to find the principal
[tex]\begin{gathered} 2283=p\times0.05\times9 \\ 2283=0.45p \end{gathered}[/tex]Divide both sides by the coefficient of p
[tex]\begin{gathered} \frac{2283}{0.45}=\frac{0.45p}{0.45} \\ p=5073.33 \end{gathered}[/tex]In order to make an interest of 2283 in 9 years, you would have to save $5073.33 now
A street light is at the top of a 17ft tall pole. A woman 6ft tall walks away from the pole with a speed of 4ft/sec along a straight path. How fast is the tip of her shadow moving when she is 45ft from the base of the pole?
A woman 6 ft tall walks away from a 17 ft tall pole with a street light on top of it.
Graphically:
From the diagram, we can say that:
[tex]\frac{x}{6}=\frac{y}{11}\ldots(1)[/tex]The laws of motion of the woman and the shadow with respect to the base of the pole are:
[tex]\begin{gathered} y(t)=y_0+v_y\cdot t \\ x(t)=x_0+v_x\cdot t \end{gathered}[/tex]Where x0 and y0 are the initial positions, vx and vy are the shadow speed and the speed of the woman, respectively. We know that vy = 4 ft/s, so if we say that the starting point for the woman was 11 feet away from the pole, then using equation (1):
[tex]\begin{gathered} y_0=11 \\ \frac{x_0}{6}=\frac{y_0}{11}\Rightarrow x_0=6 \end{gathered}[/tex]Then, the laws of motion are:
[tex]\begin{gathered} y(t)=11+4\cdot t \\ x(t)=6+v_x\cdot t \end{gathered}[/tex]We now calculate the instant of time when y = 45 ft. Using the law of motion of the woman:
[tex]\begin{gathered} 45=11+4\cdot t \\ 34=4\cdot t \\ t=8.5\text{ sec} \end{gathered}[/tex]Again, using the equation (1):
[tex]\begin{gathered} \frac{x(8.5)}{6}=\frac{y(8.5)}{11} \\ x(8.5)=\frac{6\cdot45}{11} \\ 6+v_x\cdot8.5=\frac{270}{11} \\ 8.5v_x=\frac{204}{11} \\ v_x=\frac{24}{11}\text{ ft/sec} \end{gathered}[/tex]Mcm de 2,5,10,25 grupo de valores
i don't know the answer
two thirds of a number is negitive 20
Answer:
The number is -30.
Step-by-step explanation:
Given statement,
→ two thirds of a number is negative 20.
The equation will be,
→ (2/3)x = -20
Now the value of x will be,
→ (2/3)x = -20
→ 2x = (-20) × 3
→ x = (-60)/2
→ [ x = -30 ]
Hence, the value of x is -30.
Answer:
[tex]-30[/tex]
Step-by-step explanation:
Set up the equation where [tex]x[/tex] is the unknown number:
[tex]\frac{2}{3}x = -20[/tex]
Divide both sides by [tex]\frac{2}{3}[/tex]:
[tex]x = -20 \div \frac{2}{3}[/tex]
Rewrite division by a fraction as multiplication by its reciprocal:
[tex]x = -\frac{20}{1} \times \frac{3}{2}[/tex]
Multiply:
[tex]x = -\frac{60}{2}[/tex]
Simplify:
[tex]x = -30[/tex]