Answer:
x= 2
Step-by-step explanation:
move 28 to the other side and flip the sign: -7x^2 = -28
divide by -7 on both sides: x^2 = 4
now take the exponent of x to the other side to isolate x (note: when taking an exponent to the other side to isolate a variable (x), the exponent will turn into a square root): x= \(\sqrt{4}\)
solve: x=2
Answer:
x= 2
Step-by-step explanation:
move 28 to the other side and flip the sign: -7x^2 = -28
divide by -7 on both sides: x^2 = 4
now take the exponent of x to the other side to isolate x (note: when taking an exponent to the other side to isolate a variable (x), the exponent will turn into a square root): x= \sqrt{4}4
As an estimation we are told £3 is €4.
Convert £27 to euros.
Answer:
The answer is 38 euros.
Step-by-step explanation:
Ayden rents skates at the skate park for
$1.25. He also spends $1.75 on snacks
and a drink each time he goes. If Ayden
has $20, which expression shows how
much money Ayden will have left over if
he visits the skate park a times?
A $20 + [($1.25 + $1.75) X a]
B $20 + ($1.25 + $1.75 X a)
c $20 - [($125 + $1.75) X aj
D $20- ($1.25 + $1.75 X a)
Answer:
C
Step-by-step explanation:
4. Provide an example of a point that could NOT be a part of a function that includes the points:
(1, -3), (2, 7), (3, 4), (4,-4), and (5,-2).
Answer:
(1, 6)
Step-by-step explanation:
While a function may NOT have two y-values assigned to the same x-value
(1,6) would not work because the x-value of 1 had already been used at the point (1,-3)
The following quadrilateral is a parallelogram.
R
S
6x + 4
10x
Q
P
Angle Q measures
degrees.
Answer:
70
Step-by-step explanation:
Angle Q and angle P are supplementary angles, so they add up to 180 degrees.
6x + 4 + 10x = 180
16x + 4 = 180
16x = 176
x = 176/16
x = 11
Put x in angle Q as 11 and solve.
6(11) + 4
66 + 4
= 70
Angle Q measures 70 degrees.
Cherries cost $2/b. Grapes cost $0.50/lb. You can
spend no more than $3 on fruit, and you need at least
3 lb in all. Create a graph showing the amount of each
fruit you can buy.
Help mhe please,, on line A, each time x increases by 1 y increases by ....
Choose the expression that represents a cubic expression. 19x4 18x3 − 16x2 − 12x 1 10x3 − 6x2 − 9x 12 −9x2 − 3x 4 4x 3
The expression that represents a cubic expression is equals to the 10x³ − 6x² − 9x + 12.
The expression is formed with variable and constant with arithmetic operation. A polynomial having degree three is known as a cubic polynomial or we it is also called a cubic expression.
The cubic expression is of the following form:ax³ + bx² + cx + d = 0.
Cubic expressions have at least one real root.Now, we check each part one by one :
a) 19x⁴ + 18x³ − 16x² − 12x + 1 , which is a four degree polynomial, so it is not cubic expression.
b) 10x³ − 6x² − 9x + 12, it is a three degrees polynomial with cofficient of x³ ≠0 so, it is a cubic expression.
c) −9x² − 3x + 4, it is a quadratic expression with degree two. So, it is not cubic.
d) 4x - 3, here degree of polynomial is one so, it is not cubic. Hence, required expression is 10x³ − 6x² − 9x + 12.
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Complete question:
Choose the expression that represents a cubic expression.
a) 19x⁴ + 18x³ − 16x² − 12x + 1
b) 10x³ − 6x² − 9x + 12
c) −9x² − 3x + 4
d) 4x - 3
I need help or me mommy will get mad
Answer:
2 inches
Step-by-step explanation:
\(\frac{.25}{4} =\frac{x}{32} \\\)
(0.25*32)/4=2
Answer:
2 inches
Step-by-step explanation:
please mark this answer as brainliest
PLS HELP
What is the circumference of a circular swimming pool with a diameter of 6 1/2 ft? (Use 22/7 for pi)
A. 6 3/7
B. 71 1/2
C. 20 3/7
D. 9 9/14
\(20\frac{ 3}{7}\) is the circumference of a circular swimming pool with a diameter of 6 1/2 ft.
Circumference of a circle is πd, where d is the diameter
From the question
d = 6½ feet = 13/2 feet
Circumference is
π × 13/2
= 22/7 × 13/2
= 143/7
= \(20\frac{3}{7}\)
What's the circumference?
The meaning of circumference is the distance around a circle or any twisted geometrical shape. It's the one- dimensional direct dimension of the boundary across any two- dimensional indirect face. In figure, the circumference( from Latin circumferens, meaning" carrying around") is the border of a circle or cirque. That is, the circumference would be the bow length of the circle, as if it were opened up and uncurled out to a line member.
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line will operate for 450 minutes per day. a. What are the maximum and minimum cycle times? Round your answers to one decimal place. Maximum cycle time: __________minutes Minimum cycle time: _______minutes b. How much daily output will be achieved by each of those cycle times? Round your answers to the nearest whole number. Daily output achieved by maximum cycle time: units/day Daily output achieved by minimum cycle time: units/day
The daily output achieved by maximum cycle time cannot be calculated by the given information. But, the daily output achieved by minimum cycle time is 1688 units per day (approx).
Given that the line will operate for 450 minutes per day.
The maximum cycle time can be calculated using the formula:
Maximum cycle time = Operating time / Minimum number of cycles
Maximum cycle time = 450 / 1
= 450 minutes
The minimum cycle time can be calculated using the formula:
Minimum cycle time = Operating time / Maximum number of cycles
So,
Minimum cycle time = 450 / (450/20)
= 20 minutes
a. The maximum cycle time is 450 minutes, and the minimum cycle time is 20 minutes.
Maximum cycle time = 450 minutes
Minimum cycle time = 20 minutes
b. The daily output achieved by maximum cycle time can be calculated using the formula:
Daily output = (Operating time * Efficiency) / Cycle time
We know that the operating time is 450 minutes.
Efficiency is not given.
Hence, the daily output cannot be calculated by the given information.The daily output achieved by the minimum cycle time can be calculated using the formula:
Daily output = (Operating time * Efficiency) / Cycle time
Daily output achieved by minimum cycle time = (450 * 75%) / 20
Daily output achieved by minimum cycle time = 1688 units per day (approx)
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I have a rectangle with a length of 7 cm and a perimeter of 38 cm. Find the area of the rectangle?
Answer:
first find the width
=11cm
find area
7×11=77
and=77
16m - (5 + 9m) which one is it
Answer:
B
Step-by-step explanation:
Answer:
B. 16m - 5 - 9m
Step-by-step explanation:
The "-" outside of the parentheses also can be interpreted as -1.
So multiply -1 with 5 and 9m within the parentheses.
That gets you 16m - 5 - 9m.
Crystal Ibarra
BIG IDEAS MATH
#151
Two angles form a linear pair. The measure of one angle is 26° greater than the measure of the other angle. Find the measure of each angle.
Smallest angle:
Largest angle:
Check the picture below.
Madelyn made note of all the bicycles and cars she could see parked or locked on a certain city block. All the cars had exactly four wheels, and all the bicycles had exactly two wheels. How many vehicles were on the block if there were 12 bicycles and 4 cars? How many vehicles were on the block if there were x bicycles and y cars?
Answer:
a) 16 vehicles
b) (x + y) vehicles
Step-by-step explanation:
According to US traffic laws, bicycles are also considered to be vehicles since they are a mode of transport as they can attain speeds far more than humans walking.
Now, if there are 12 bicycles and 4 cars, it means;
Number of vehicles = 12 + 4 = 16 vehicles.
If there are x bicycles and y cars, it means;
Number of vehicles = (x + y) vehicles
Which of the following statements cannot be assumed from the diagram?
Answer:
Can you give me any more context?
Solve for y
2y + 6 = 1 - 3y
Answer:
-1
Step-by-step explanation:
2y+6=1 -3y
add three to both sides and minus 6 from both sides becasue you want to get y by itself
5y=-5
now both sides by 5
y=-1
Answer:
y=−1
Step-by-step explanation:
2y+6=1−3y
Step 1: Simplify both sides of the equation.
2y+6=1−3y
2y+6=1+−3y
2y+6=−3y+1
Step 2: Add 3y to both sides.
2y+6+3y=−3y+1+3y
5y+6=1
Step 3: Subtract 6 from both sides.
5y+6−6=1−6
5y=−5
Step 4: Divide both sides by 5.
y=−1
6. Solve each system of equations. 7x – 12y = 180 7x = 84 b. | -16y = 4x 4x + 27y= 11
Answer:
1: y= -15x
2: in the ss
Step-by-step explanation:
13. a prospector thinks there is an even (50-50) chance that his property contains oil. any property suspected to have oil can go through two independent tests. the first test is 80% reliable; if there is oil on the property, it reports positive 80% of the time, and it reports negative 80% of the time whenever there is no oil. for the second test, it reports positive 75% of the time when there is oil, as well as reporting positive 50% of the time when there is no oil. what is the probability the property has oil, given that both tests report positive? assume event a: first test reports positive; event b: second test reports positive; event o: the property has oil.
The probability the property has oil, given that both tests report positive.
P(O|A∩B) = 0.6 * 0.5 / 0.8 = 0.375
P(O|A∩B) = P(A∩B|O)P(O) / P(A∩B)
P(A∩B|O) = 0.8 * 0.75 = 0.6
P(O) = 0.5
P(A∩B) = P(A|O)P(O) + P(A|¬O)P(¬O)
P(A|O) = 0.8, P(¬O) = 0.5
P(A∩B) = 0.8 * 0.5 + 0.8 * 0.5 = 0.8
P(O|A∩B) = 0.6 * 0.5 / 0.8 = 0.375
The probability theory is defined.The study of random events is the focus of probability theory, a subfield of mathematics. It is impossible to predict the outcome of a random event before it happens, although it could take any of numerous different forms. It is believed that chance played a role in how things turned out.
How does probability work?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
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If a voltage of 110 V is applied across a
load and the resulting current flow is 2.2 A,
what is the resistance of the load in Ohms
Answer:
50 ohms.
Step-by-step explanation:
Volts = current * resistance
110 = 2.2 * r
R = 110 / 2.2
= 50 ohms.
Please help me due in 2 mins!!! Use the picture below to help you answer the question!!!
Identify the variation as direct, inverse, joint or combined. Y = 7x inverse combined joint direct.
The given variation y = 7x is a direct variation where any increase in the variable x also increases the value of the variable y.
The given variation is represented as -
y = 7x
We have to identify if the given variation is direct or inverse or joint or combined.
Let us first the different mathematical relationships mentioned here.
Direct variation is a mathematical relationship established between two different variables that can be represented in the form of an equation where one variable is a multiple of the other by a constant.Inverse variation is a mathematical relationship established between two different variables where any increase in one variable leads to the decrease in the other variable.Joint variation is a mathematical relationship where one variable is dependent on two or more variables.Combined variation is a mathematical relationship which is basically a combination of direct, inverse, as well as joint variation.Now that we know the definitions of different types of variations, let us look into the given variation, which is -
y = 7x
We can see that the variable y is 7 times the multiple of another variable x. Thus, this is a case of direct variation such that any increase in the variable x also increases the value of the variable y.
Therefore, the given variation y = 7x is a direct variation type.
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help help help help help
Step-by-step explanation:
press the picture to see the answer I swear it has a solution too
Let be a binominal random variable with =9 and p=0.2. What is the probability of four successes; that is, P(=4)?
The probability of four successes in this binomial distribution is 0.2668, or approximately 26.68%. This means that if we conduct 9 trials with a 20% chance of success on each trial, we would expect to get exactly 4 successes with a probability of 0.2668.
To find the probability of four successes in a binomial random variable, we use the formula for the probability mass function (PMF) of a binomial distribution:
P(X=k) = (n choose k) * \(p^k\) * (1-p)\(^(n-k)\)
where n is the number of trials, p is the probability of success on each trial, k is the number of successes, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.
In this case, we have n = 9, p = 0.2, and k = 4. So, we can plug these values into the formula:
P(X=4) = (9 choose 4) * 0.\(2^4\) * (1-0.2)\(^(9-4)\)
= (126) * 0.\(2^4\) * 0\(.8^5\)
= 0.2668
Therefore, the probability of four successes in this binomial distribution is 0.2668, or approximately 26.68%. This means that if we conduct 9 trials with a 20% chance of success on each trial, we would expect to get exactly 4 successes with a probability of 0.2668.
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answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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SOMEONE FILL IN THAT BLANK PLEASE !!
Answer:
40,000
Step-by-step explanation:
Use the definition f(a) = lim x->a f(x) - f(a)/(x-a) to find the derivative of the given function at the indicated point.2) F(x) =-8 -×2, a = 2. A.) 2 B.) -2 c.) -4 d.)4
Answer:
B
Step-by-step explanation: HOPE IT HELP
mark spent a total of $12.33 on 9 oranges and a packet of strawberries. if the packet of strawberries costs $2.88 how much did each orange cost
Answer: $1.05 per orange
Step-by-step explanation:
12.33 - 2.88 = 9.45
9.45 ÷ 9 = 1.05
a survey showed that 4 out of 5 students own a bicycle based on this result how many 800 students in a school own a bicycle
The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 74 cm, find its length and width.
The length and the width are 21cm and 16cm respectively.
How to determine the length and widthThe formula for calculating the perimeter of a rectangle is expressed as;
P = 2(l +w)
Given that;
P is the perimeterl is the length of the rectanglew is the width of the rectangleBut we have that;
Length = 5 + w
Substitute the value
74 = 2(5 + w + w)
collect like terms
74=2 (5 + 2w)
expand the bracket
64 = 4w
Make 'w' the subject of formula
w = 16cm
Then, length = 5 + 16 = 21cm
Hence, the values are 16cm and 21cm
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How can you solve a linear system (Ax=b) using inverse matrices?
To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.
To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:
\(A^-1Ax = A^-1b\)
Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:
\(x = A^-1b\)
However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.
So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.
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