Answer:
Step-by-step explanation:
2x < - 4
divide both sides by 2
[tex]\frac{2x}{2}<\frac{-4}{2}[/tex]
x < -2
x= {.........-5, -4 , - 3}
All values less than -2
An____solutions is a value that arises from the algebraic method of solving but is NOT a solution of the original
equation.
Answer: an infinity many solutions
Step-by-step explanation:
If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system.
Final answer:
An extraneous solution is a value that arises from the algebraic method of solving but is NOT a solution of the original equation.
Explanation:
An extraneous solution is a value that arises from the algebraic method of solving but is NOT a solution of the original equation. Extraneous solutions can occur when certain algebraic manipulations are performed that introduce additional solutions that are not valid in the context of the problem. For example, if we square both sides of an equation, we may introduce extraneous solutions. These extraneous solutions need to be identified and discarded when solving equations.
Plot V2 and V3 on the number line.
Which statements are true? Check all that apply.
O v2 <2
O v2 < V3
o 12 > 1.5
o 13 <3
o v is about 0.5 less than 13.
O v3 is about 0.3 greater than v2.
Answer:
Step-by-step explanation:
0.........................1.......V2..1.5..V3.....2........................3....................
V2 <2
V2<V3
12>1.5
V3 is about 0.3 greater than V2 (V3 =1,7...and V2=1,4...)
V? is about 0.5 less than 13 ( it is not complete)
Answer:A, B, D and F
Your welcome
Step-by-step explanation:
I just took it
Select each set of events that are independent.
Roll a number cube, then flip a coin
Roll two number cubes
Pick a green candy from bag, eat the candy, then pick a yellow candy from a different bag
Pick a Jack from a deck of cards, don't put it back, then pick a King from the same deck
Pick a blue candy from a bag, eat the candy, then pick a red candy from the same bag
Pick a yellow marble from a bag, don't put it back, pick a green marble from the same bag
which ones are independent?
Answer:
Options A, B and C are all independent events while the rest are all dependent events.
Step-by-step explanation:
Please kindly check the attached files for explanation.
help me examine this stem and leaf plot!
Luke has 4 more than triples the number of model cars that Andrew has. Luke has 31 cars. How many cars does Andrew have? {Write and solve an equation}
Answer:
Andrew has 9 cars
Step-by-step explanation:
Let's start by defining what our unknowns are and how to name them:
For the number of cars Andrew has: let's use the letter A
For the number of cars Luke has: let's use the letter L
Not write the first sentence in mathematical terms:
"Luke has 4 more than triples the number of cars that Andrew has."
L = 3 * A + 4
The second phrase results on a very simple equation since it just states the number of cars that Luke has:
L = 31
Now we can combine these two equations by replacing the variable "L" in the first equation with the second equation and then solve for A:
L = 3 * A + 4
31 = 3 * A +4
31 - 4 = 3 * A
27 = 3 * A
A = 27/3
A = 9
Therefore, Andrew has 9 cars.
If a road has a grade of 30°, this means that it's angle of elevation is 30°. If you travel 1.5 miles on this road, how much elevation have you gained in feet (5280ft = 1 mile). Round to the nearest foot.
3450ft
3998ft
3960ft
2760ft
The elevation gained after travelling 1.5 miles will be 3960ft.
Step-by-step explanation:
Angle of elevation = 30°
Distance travelled= 1.5 miles
1 mile = 5280 ft.
1.5 miles = 5280 x 1.5
= 7920 ft.
The height from the ground can be calculated by,
sin 30° = height / 7920
1/2 = height / 7920
Height = 7920/2
= 3960 ft.
The elevation gained after travelling 1.5 miles will be 3960ft.
Final answer:
To determine the elevation gain over 1.5 miles on a road with a 30° angle of elevation, the sine function reveals that the elevation gain is 0.5 * 1.5 miles * 5280 feet/mile, which calculates to approximately 3960 feet.
Explanation:
To calculate the elevation gain when traveling 1.5 miles on a road with a 30° angle of elevation, we can use trigonometric functions. Specifically, the sine function is useful, because it relates the angle of a right triangle to the ratio of the opposite side (elevation gain) over the hypotenuse (distance traveled).
The sine of a 30° angle is 1/2, and if the hypotenuse is 1.5 miles, we can find the length of the opposite side by multiplying:
sine(30°) = elevation gain / (1.5 miles)
0.5 = elevation gain / (1.5 miles * 5280 feet/mile)
elevation gain = 0.5 * 1.5 miles * 5280 feet/mile
elevation gain = 0.5 * 1.5 * 5280 feet
elevation gain ≈ 3960 feet
Therefore, you would gain approximately 3960 feet in elevation after traveling 1.5 miles on the road.
The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9
feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?
Door 1
Door 2
diagonal: 10 feet
Door 3
diagonal: 3/10 feet
Door 4
diagonal: 6
feet
diagonal: 12 feet
Door 1
Door 2
Door 3
Door 4
Answer:
Door 2
Step-by-step explanation:
b is the answer
Answer:
B
Step-by-step explanation:
door 2
Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?
Answer: D.
Step-by-step explanation:
To solve this problem, you first need to find the distance between the center and the point on the circle. This will give you your radius.
There are 12 units between -2 and 10 on the x-axis.
There are 5 units between 5 and 10 on the y-axis.
To find the distance of the slope, you can treat the distance as the hypotenuse and the distances of the two sides as your variables.
Using the Pythagorean theorem:
12^2 + 5^2 = 13^2. Your radius is 13 units long.
The equation for a circle is shown as the following:
[tex](x - h)^{2} + (y - k)^{2} = r^2[/tex]
Where the center is (h, k), and the radius is r.
When the center is at (-2, 10) and the radius is 13, then the equation is shown here:
[tex](x +2)^2 + (y - 10)^2 = 169[/tex]
Answer: D
Step-by-step explanation:
a recipe calls for 5 tablespoons of orange juice a can of orange juice is 11 fluid ounces how many tablespoons of juice are in a can
By using the conversion factor that 1 fluid ounce is equal to 2 tablespoons, an 11 fluid ounce can of orange juice contains 22 tablespoons of juice.
Explanation:To find out how many tablespoons of juice are in a can, we will use the given conversion factors. We know that 1 fluid ounce (fl oz) is equivalent to 2 tablespoons (tbsp). The can contains 11 fluid ounces of orange juice.
Multiply the number of fluid ounces in the can by the number of tablespoons per fluid ounce to find the total tablespoons in the can: 11 fl ozTherefore, there are 22 tablespoons of orange juice in a can.
convert the following decimal into a percentage 0.4973
if it takes 33 pounds of sugar to make a cake what fraction of the cake can be ade with 11 pounds of sugar
Answer:
one third or 1/3
Step-by-step explanation:
Answer: 1/3 of the cake.
Step-by-step explanation: 33 divided by 3 is equal to 11, which makes 11 one third of 33.
Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey. Of graduates in the sample, what fraction came from university A?
https://gyazo.com/024c033fb3022b87aee5e6ca3695277b
75 graduates from University A had an income under $20,000.
From the two-way table, we can see that 35 graduates from University A had an income under $20,000. In addition, 40 graduates from University B had an income under $20,000. However, we should not simply add these two numbers together, as some graduates from each university may have been counted twice.
To avoid double counting, we need to look at the total number of graduates who responded to the survey. This number is 35 + 90 + 35 + 37 = 197. Therefore, we know that there were 197 unique graduates who responded to the survey.
Since there were 197 unique graduates and 40 graduates from University B had an income under $20,000, this means that there must have been 197 - 40 = 157 graduates from University A who responded to the survey.
Finally, we can see from the two-way table that 35 graduates from University A had an income under $20,000. Therefore, there were a total of 75 graduates from University A who had an income under $20,000.
Question
Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.
How many graduates from University A had an income under $20,000?
________graduates
i need help please asap
Answer:
5/6
Step-by-step explanation:
To add fractions the denominator (or lowest number must be the same)
They are not in this case, so we need to make it that way.
3 can be turned into 6 by multiplying by two. BUT REMEMBER, whatever you do to the top, you do to the bottom and vise versa.
[tex]\frac{2}{3} *\frac{2}{2} =\frac{4}{6}[/tex]
[tex]\frac{4}{6} +\frac{1}{6} =\frac{5}{6}[/tex]
Answer:
5/6
Step-by-step explanation:
I hope this is what you need
What percent of 105 is 63 (round to the nearest hundredth)
Answer:
60
if you use a calculator then 63÷105×100
Hope this helps!
Please read the picture and give me the answer pls ill give u brainliest if you give me the correct answer
Answer:
19.59 meters
Step-by-step explanation:
26 (sin 90) sin 37 / (sin 53) = 19.5924053
An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
Answer: gallons
Step-by-step explanation:
Answer:Gallons
Step-by-step explanation:
You got to think of a pool and then relate it to the other measurements
|4x−4(x+1)|=4
find x
Answer: x= 5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+2=2(x+6)
Step 1: Simplify both sides of the equation.
4x+2=2(x+6)
Simplify: (Show steps)
4x+2=2x+12
Step 2: Subtract 2x from both sides.
4x+2−2x=2x+12−2x
2x+2=12
Step 3: Subtract 2 from both sides.
2x+2−2=12−2
2x=10
Step 4: Divide both sides by 2.
2x /2 = 10 /2
x=5
Can you help please
I don't think I can answer it
Answer:
Step-by-step explanation:
area=area of trapezium ABCD with parallel sides 6 ft and 4 ft separated by distance 4 ft.+ area of square CEGD
=1/2(6+4)×4+4×4
=1/2 (10)×4+16
=20+16
=36 ft²
In a science class, Paula made a mixture by adding 2.05 milliliters of
hydrogen peroxide and 6.15 milliliters of water together. Equal amounts of
the whole mixture were poured into 5 empty containers. How much of the
mixture, in milliliters, did she pour into each container?
Answer:
1.64 ml
Step-by-step explanation:
2.05 + 6.15 = 8.2
8.2 / 5 = 1.64
Paula poured 1.64 milliliters of the mixture into each of the 5 containers after combining the volumes of hydrogen peroxide and water to get a total volume of 8.20 milliliters.
Explanation:To find the amount of the mixture Paula poured into each container, we first need to calculate the total volume of the mixture she made by adding the volume of hydrogen peroxide to the volume of water.
The total volume of the mixture is 2.05 milliliters of hydrogen peroxide plus 6.15 milliliters of water, which equals 8.20 milliliters. Since the mixture was evenly distributed into 5 containers, we divide the total volume by the number of containers.
Amount per container = Total volume / Number of containers
Amount per container = 8.20 milliliters / 5 containers
Amount per container = 1.64 milliliters
Therefore, Paula poured 1.64 milliliters of the mixture into each container.
Help with C please!!
Answer: 2.3
Step-by-step explanation:
Once you add all of the numbers of shoes together you get 14 pairs. To find the mean, you have to divide the total number by the number of values which is 6.
hence solve the equation x^3+x^2-6x=0
The solution of the equation x³ + x² - 6x = 0 are x=0, x=2 and x=-3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x³ + x² - 6x = 0
x cube plus x square minus six times of x equal to zero.
Take x as common
x(x² + x - 6) = 0
Now factorize the equation within the parenthesis
x(x² + 3x - 2x - 6) = 0
x[x(x + 3) - 2(x + 3)] = 0
x(x - 2)(x + 3) = 0
Now
x = 0
x - 2 = 0 => x = 2
x + 3 = 0 => x = - 3
Hence, the solution of the equation x³ + x² - 6x = 0 are x=0, x=2 and x=-3.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Final answer:
The equation [tex]x^3 + x^2 - 6x = 0[/tex]is factored into x(x + 3)(x - 2) = 0 to find the roots, which are x = 0, x = -3, and x = 2.
Explanation:
To solve the equation [tex]x^3 + x^2 - 6x = 0[/tex], we first recognize that the equation is not a quadratic, but a cubic equation. However, we can factor out an x, which simplifies the equation to [tex]x(x^2 + x - 6) = 0.[/tex]The cubic term now has been factored into a linear term and a quadratic term. The quadratic equation [tex]x^2 + x - 6[/tex] can be factored further into (x + 3)(x - 2).
The roots of the equation are the values of x that make the equation equal to zero. By setting each factor equal to zero, x = 0, x + 3 = 0, and x - 2 = 0, we find the solutions to be x = 0, x = -3, and x = 2.
NEED ANSWER NOW!!!!!!!!!!
Which two ratios form a proportion?
A)
6/
9
and
3/
1
B)
6/
9
and
1/
3
C)
6/
9
and
2/
3
D)
6/
9
and
3/
2
Jay placed 32 seats in 4 rows for the debate. What is the unit rate of seats per row?
A)
4
B)
6
C)
8
D)
12
First Answer: C.
C is the answer, because when doing cross product with the proportion you get 18 for both answer meaning they are proportional since they both equal the same amount.
Second Answer: C.
The answer is C, because when you divide 32 and 4 you get 8 seats per row.
What is the y- intercept of
y= 3 - 4x
The y-intercept of the equation y=3-4x is the constant term, which is 3. Hence, the line crosses the y-axis at the point (0, 3).
Explanation:The y-intercept of the equation y = 3 - 4x can be found by looking at the constant term in the equation, which is the term without the 'x'. In this case, the constant term is 3. Therefore, the y-intercept of the line is the point (0, 3) where the line crosses the y-axis; that is when x=0, y=3.
In the linear equation \(y = 3 - 4x\), the y-intercept occurs when \(x = 0\). To find the y-intercept, substitute \(x = 0\) into the equation:
\[ y = 3 - 4(0) \]
This simplifies to \(y = 3\). Therefore, the y-intercept is \(y = 3\). In terms of interpretation, the y-intercept represents the point where the graph intersects the y-axis, indicating that when x is zero, the corresponding y-value is 3. So, the y-intercept for this equation is the point (0, 3) on the coordinate plane.
Simplify this exponent
10^6
Answer: [tex]10*10*10*10*10*10[/tex]
Since the exponent is 6 we'll write 10×10 6 times.
[tex]10^6=10*10*10*10*10*10[/tex]
[tex]10^6=1000000[/tex]
[tex]10*10*10*10*10*10=1000000[/tex]
What is the remainder R when the polynomial p(x) is divided by (x + 5)? Is (x + 5) a factor of p(x)?
p(x) = x3 - 5x2 + 2x - 10
A) R = 0, no
B) R = 0, yes
C) R = -270, no
D) R = -270, yes
Answer:
R= -270, no
Step-by-step explanation:
25 % of __is 30
I forgot who do slove this bc of quartine :
Answer:
120
Step-by-step explanation:
its easy 25 might as well be 1/4 so 30+30+30+30=120
An airline ticket states that the flight takes 2 hours and 45 minutes. The flight time is actually 2 hours and 54 minutes. What is the percent error in the flight time?
Answer:
5.45%
Step-by-step explanation:
Given:
An airline ticket states that the flight takes 2 hours and 45 minutes.
The flight time is actually 2 hours and 54 minutes.
Question asked:
What is the percent error in the flight time?
Solution:
As we know:
[tex]Percent\ error=\frac{Experimental\ value - Theoretical\ value}{ Theoretical\ value}} \times100[/tex]
Theoretical value = 2 hours and 45 minutes
1 hour = 60 minutes
2 hours 45 minutes = 60 [tex]\times[/tex] 2 + 45 = 120 + 45 = 165 minutes
Experimental value = 2 hours and 54 minutes
1 hour = 60 minutes
2 hours 54 minutes = 60 [tex]\times[/tex] 2 + 54 = 120 + 54 = 174 minutes
[tex]Percent\ error=\frac{174-165}{165} \times100\\ \\ Percent\ error=\frac{9}{165} \times100\\ \\ Percent\ error=\frac{900}{165} \\ \\ Percent\ error=5.45[/tex]
Thus, the percent error in the flight time is 5.45%
Answer:
Step-by-step explanation:
Question asked:
What is the percent error in the flight time?
Solution:
As we know:
Theoretical value = 2 hours and 45 minutes
1 hour = 60 minutes
2 hours 45 minutes = 60 2 + 45 = 120 + 45 = 165 minutes
Experimental value = 2 hours and 54 minutes
1 hour = 60 minutes
2 hours 54 minutes = 60 2 + 54 = 120 + 54 = 174 minutes
Thus, the percent error in the flight time is 5.45%
Plssss help me, I’ll mark y’all brainliest
Answer:
1 ray is intersecting point O
Step-by-step explanation:
A ray can be defined as a part of a line that has a fixed starting point but no end point.
AD and EC both go on forever but OB has one endpoint and goes on forever.
which expression is equivalent to x + 1 − x + 2x + x + 1? A)3x B)3x + 1 C)3x + 2 D)4x + 1
A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest tenth.
Use 3.14 for
cubic inches
Answer:
[tex]V=753.6\ \text{inches}^3[/tex]
Step-by-step explanation:
Given that,
Radius of a paint can, r = 4 inches
Height of a paint can, h = 15 inches
We need to find the volume of the paint can. We know that the shape of a paint can is in the form of cylinder such that the volume of cylinder is given by :
[tex]V=\pi r^2h[/tex]
Substituting all the values we get
[tex]V=3.14\times (4)^2\times 15\\\\V=753.6\ \text{inches}^3[/tex]
So, the volume of the paint can is 753.6 cubic inches.