Answer:
Ray B.
AHD=120°.
AHB=DHB=60°.
I need help with questions
Answer:
B. The zeros are -2/3 and -3 because y=(3x+2)(x+3)
Explanation:
Given the equation:
\(y=3x^2+11x+6\)To find the zeros, first, factorize the expression:
\(\begin{gathered} y=3x^2+9x+2x+6 \\ y=3x(x+3)+2(x+3) \\ y=(3x+2)(x+3) \end{gathered}\)Next, set the factored expression equal to 0.
\(\begin{gathered} y=(3x+2)(x+3)=0 \\ \implies3x+2=0\text{ or }x+3=0 \\ 3x=-2\text{ or }x=-3 \\ x=-\frac{2}{3}\text{ or }x=-3 \end{gathered}\)Thus, the zeros are -2/3 and -3 because y=(3x+2)(x+3).
The correct choice is B.
A summary of data that shows the number of observations in each of several nonoverlapping bins is called a(n) _____.
A summary of data that shows the number of observations in each of several non-overlapping bins is called a histogram.
A histogram is a graph used to visualize the distribution of a dataset. The x-axis represents the different ranges of the data being observed, which are usually called bins. The y-axis displays the frequency or count of data values that fall into each bin.
The shape of a histogram can provide valuable insights into the underlying data distribution. For example, if a histogram is bell-shaped, it indicates that the data follows a normal distribution, which is a symmetrical distribution with most values clustered around the mean. If a histogram is skewed to the left, the data has a long tail on the left-hand side and is concentrated on the right-hand side. If a histogram is skewed to the right, the data has a long tail on the right-hand side and is concentrated on the left-hand side. In conclusion, a histogram is a useful tool for summarizing data and providing insights into its distribution.
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In order to make the same amount of money, they would have to each sell ______ bicycles. They would both make $______.
They would each need to sell 5 bicycles to make the same amount of money and if they both sell 5 bicycles, they would each make $500.
What do you mean by finding the break-even point ?
The key concept used here is the idea of finding the break-even point between two scenarios. In this case, the break-even point is the number of bicycles that Jim and Tom each need to sell in order to make the same amount of money. This is found by setting their total earnings equal to each other and solving for the number of bicycles. Once the break-even point is found, the total earnings for that number of bicycles can be calculated by plugging it back into the original equations. This concept is commonly used in business and finance to determine the minimum level of sales needed to cover costs and make a profit.
Calculating the number of bicycle and money :
To make the same amount of money, Jim and Tom would have to each sell the same number of bicycles, let's call it "b".
So Jim would make a total of:
250 + 50b dollars
Tom would make a total of:
400 + 20b dollars
To find the value of "b" where they both make the same amount of money, we can set the two expressions equal to each other and solve for "b":
250 + 50b = 400 + 20b
30b = 150
b = 5
Therefore, they would each need to sell 5 bicycles to make the same amount of money.
To find out how much they would make, we can substitute "b=5" into either of the expressions above:
Jim:
250 + 50(5) = $500
Tom:
400 + 20(5) = $500
Therefore, if they both sell 5 bicycles, they would each make $500.
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Write the domain as an inequality!!!
Answer: \(x \le -1\)
=================================================
Explanation:
The domain is the set of all possible x values of a function.
The largest x can get is x = -1, since this x value applies to the x coordinate of the right most point on the curve. The filled in circle indicates we include this endpoint as part of the domain.
There is no smallest x value due to the arrow showing the curve goes on forever in that direction.
We can write the domain as \(-\infty < x \le -1\) but it's better to write \(x \le -1\)
Put another way: the domain consists of values that are -1 or smaller.
If thrice a number is subtracted from 100,the difference is 67.Find the number.
Answer:
the answer is 167/3
Step-by-step explanation:
Help please branliest ASAP
Answer: (x+(-1), y+4)
Step-by-step explanation:
Figure II ==> Blue point: (0, -1)
Figure I ==> Black point: (1. -5)
(0, -1)-(1. -5)=
(0-1, -1-(-5))=
(-1, -1+5)=(-1,4) ==> (x+(-1), y+4)
What is an equation of the line that passes through the points (1,3) and (8,5)?
Answer:
y=2/7x+19/7
Step-by-step explanation:
Slope = m = (y₂-y₁)/(x₂-x₁) = (5-3)/(8-1) = 2/7
Therefore, our equation so far is y=2/7x+b where we can calculate b, the y-intercept by plugging in one of our given points [I used (1,3)]:
y=2/7x+b
3=2/7(1)+b
3=2/7+b
21/7=2/7+b
19/7=b
Therefore, our final equation is y=2/7x+19/7
solving equations with fractions- how do i solve this
Answer:
\(x=\frac{11}{18} =0.611\)
Step-by-step explanation:
1) Subtract \(\frac{2}{9}\) from both sides.
\(x=\frac{5}{6} - \frac{2}{9}\)
2) Simplify \(\frac{5}{6} - \frac{2}{9}\) to \(\frac{11}{18}\).
\(x=\frac{11}{18}\)
Decimal Form: 0.611111
I need help to find the missing probability. P(A and B)=33/100P(B/A)=3/5P(A)=?
we are given the probability of A and B and the conditional probability B/A. We can use the following formula to determine the probability of A:
\(P(A\wedge B)=P(A)\times P(\frac{B}{A})\)Solving for the probability of A:
\(P(A)=\frac{P(A\wedge B)}{P(\frac{B}{A})}\)Replacing the known values:
\(P(A)=\frac{\frac{33}{100}}{\frac{3}{5}}\)Solving the operations:
\(P(A)=0.55\)Therefore the probability of A is 55%
A large woven basket holds 30 ears of corn. A small woven box holds 6 ears of corn. How much corn can be carried in 12 large baskets and 20 small baskets? Show your work
A graphic designer creates a logo in the shape of an ellipse. The equation
+
64
= 1, with units in centimeters,
14.44
represents the outer edge of the logo. How tall is the logo?
Answer:
b
Step-by-step explanation:
The height of logo is 7.6 cm.
What is ellipse?An ellipse is a closed curve, the intersection of a right circular cone and a plane that is not parallel to the base, the axis, or an element of the cone.
Given:
x²/64 + y²/14.44=1
We know
x²/a² + y²/b² =1
On comparing
a²=64
and, b²=14.44
Also, a=8 and b= 3.8
So, length of logo will be = 2h
=2* 3.8
=7.6 cm
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Suppose you throw a ball straight up from the ground with a velocity of 176 feet per second. As the ball moves up, gravity slows it. Eventually, the ball begins to fall back to the ground. The height h of the ball after t seconds in the air is given by the equation h=−16t2+176t. Use the given information to answer parts a through c.
a. Find the height of the ball after four seconds
Therefore, the height of the ball after four seconds is 448 feet.
Define height.Height refers to the vertical distance between something's top and bottom or its base and anything above it. Height is used to describe everything that may be measured vertically, high or low.
What is distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
We need to plug t = 4 into the equation h = -16t^2 + 176t.
h = -16(4^2) + 176(4)
h = -16(16) + 704
h = -256 + 704
h = 448 feet.
So, 448 feet is the height after four seconds.
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Work out the values of a, b, c and d.
Step-by-step explanation:
The are two angles ie. 45 and 80 than find the third angle
80 will be vertically opposite and alternative angle to a
Multiply.
(-3.2) • 1.7
A. -5.44
B. -1.5
C. 1.5
D. 5.44
Answer: A
Step-by-step explanation:
please hurry , help please??? find the values of the variables
Answer:
x=60
Step-by-step explanation:
The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)
\(2x=120\\x=60\)
Hope this helps! :)
Use the Quadratic formula to solve the equation. Show your work.
3x^2 + 2x + 1 = 0
Answer:
\(x=\dfrac{-1 +\sqrt{2}\:i }{3}, \quad x=\dfrac{-1 -\sqrt{2}\:i }{3}\)
Step-by-step explanation:
Quadratic Formula
\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0\)
Given quadratic equation:
\(3x^2+2x+1=0\)
Therefore:
a = 3b = 2c = 1Substitute the values of a, b and c into the quadratic formula and solve for x:
\(\implies x=\dfrac{-2 \pm \sqrt{2^2-4(3)(1)} }{2(3)}\)
\(\implies x=\dfrac{-2 \pm \sqrt{4-12} }{6}\)
\(\implies x=\dfrac{-2 \pm \sqrt{-8} }{6}\)
\(\implies x=\dfrac{-2 \pm \sqrt{4\cdot2\cdot-1} }{6}\)
\(\implies x=\dfrac{-2 \pm \sqrt{4}\sqrt{2}\sqrt{-1} }{6}\)
\(\implies x=\dfrac{-2 \pm 2\sqrt{2}\:i }{6}\)
\(\implies x=\dfrac{-1 \pm \sqrt{2}\:i }{3}\)
Imaginary Number Rule
\(\boxed{\sqrt{-1}=i}\)
1. A manager has formulated the following LP problem. Draw the graph and find the optimal solution. (In each, all variables are nonnegative).
Maximize: 10x+15y, subject to 2x+5y ≤ 40 and 6x+3y ≤ 48.
The LP problem is to maximize the objective function 10x+15y subject to the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. By graphing the constraints and identifying the feasible region, we can determine the optimal solution.
To find the optimal solution for the LP problem, we first graph the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. These constraints represent the inequalities that the variables x and y must satisfy. We plot the lines 2x+5y = 40 and 6x+3y = 48 on a graph and shade the region that satisfies both constraints.
The feasible region is the area where the shaded regions of both inequalities overlap. We then identify the corner points of the feasible region, which represent the extreme points where the objective function can be maximized.
Next, we evaluate the objective function 10x+15y at each corner point of the feasible region. The point that gives the highest value for the objective function is the optimal solution.
By solving the LP problem graphically, we can determine the corner point that maximizes the objective function. The optimal solution will have specific values for x and y that satisfy the constraints and maximize the objective function 10x+15y.
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help me with this question plz I really need the help
Answer:
3
Step-by-step explanation:
Take 2 points, and count the rise (how far up you go to the 2nd point) and the run (how far over)
The results of a paired-difference test are shown below to the right. d = 5.6
a. Construct and interpret a 99% confidence interval estimate for the paired difference Sd =0.25 in mean values.
b. Construct and interpret a 90% confidence interval estimate for the paired difference n=16 in mean values_ (Round to two decimal places as needed:) Choose the correct answer below:
OA This interval will contain the true population mean 90% of the time_
OB. There is a 90% chance that the true population mean is contained in the interval.
Oc: If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean: 0
D. Approximately 90% of the differences will be contained in the interval.
If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.
When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.
This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.
The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.
In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.
It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.
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(sat prep) find the value of x
Answer:
140 degrees
Step-by-step explanation:
Im only a freshman, but i think i got it, i just assumed that the other small part at the bottom was also 20 degrees, which would mean that you are missing the 140 degrees from the 180 degree line
Answer:
120 degrees
Step-by-step explanation:
The bottom part is 40 degrees,
the two lines are parallel, so theoretically, you can just put them together. Then using vertical angles, you can tell it's 40 degrees.
40 + 20 = 60
180-60 degrees is 120 degrees.
If the mean, median, and mode for a given population all equal 25, then we know that the shape of the distribution of the population is ____________.
If the mean, median, and mode of a given population all equal 25, it suggests that the distribution of the population is likely to be symmetric.
This means that the data is evenly distributed around the central value of 25, resulting in a bell-shaped or symmetric distribution.
In a symmetric distribution, the mean, median, and mode all coincide at the center of the distribution, which in this case is 25. This indicates that the data is balanced on both sides of the central value, with an equal number of observations above and below 25.
A symmetric distribution is often associated with certain types of data, such as data that naturally exhibits a balance or symmetry, such as heights or weights of individuals, or measurements that are subject to minimal or no skewness.
However, it's important to note that having the mean, median, and mode equal to 25 does not guarantee a symmetric distribution.
It is possible for a distribution to have these three measures of central tendency equal but still exhibit some degree of skewness or other deviations from symmetry.
In summary, when the mean, median, and mode are all equal to 25, it suggests that the distribution of the population is likely to be symmetric, but additional analysis and examination of the data are necessary to confirm this assumption.
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10q-10q
what is the answer
Quick SOS
Answer:
The answer is 0.
Step-by-step explanation:
10q-10q can be subtracted due to the fact that they have the same variable, the answer would be zero as you are decreasing both by the same amount.
Answer:
\(0\)
Step-by-step explanation:
Let's simplify step-by-step.
\(10q -10q\)
\(=10q+-10q\)
\(= 0\)
10 records in her collection. Now she has 12 records. What is the percent increase of her collection?
10 records in her collection. Now she has 12 records. The percentage increase of her collection is by 20%.
Percentage:
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is usually represented by the percent sign "%", although 'it is abbreviated "pct.", "pct.", and sometimes "pc". Percentage is a dimensionless number (pure number); it is unmeasured Unit.
Example :
If 50% of the total number of pupils in a class are boys, this means that 50 out of 100 pupils are boys. If there are 500 students, 250 of them are men.
According to the Question:
We can use the rule of three to solve this problem.
If 100% is 10 records, the percentage of 12 records:
= 12 × 100%/10
= 120%
Then if subtracted 120% -100%, there will be a difference of 20%, i.e. 12 is 20% more, i.e. his collection has increased by 20%.
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what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17
Answer:
8n+7
Step-by-step explanation:
Use trigonometry to determine the m
Here, we seek the angle adjacent to one of the given sides' length.
When given the hypothenuse and the adjacent lengths, we employ the SOH CAH TOA formulae.
This gives us:
\(\begin{gathered} \cos \theta=\frac{adjacent}{hypothenuse}\text{ | Notice the first letters were used for the acronym} \\ \text{Therefore, }\theta=\cos ^{-1}\frac{adjacent}{hypothenuse} \end{gathered}\)Where
adjacent = 15
Hypothenuse = 34
Employing back into the formulae, we have:
\(\begin{gathered} \theta=\cos ^{-1}(\frac{15}{34}) \\ \theta=63.82^o \end{gathered}\)The missing angle is approximately 64 degrees
A piling for a high-rise building is pushed by two bulldozers at exactly the same time. One bulldozer exerts a force of 1850 pounds in a westerly direction. The other bulldozer pushes the piling with a force of 3250 pounds in a northerly direction. What is the direction of the resulting force upon the piling, to the nearest degree?
I need some help with this yall
The direction of the resulting force upon the piling is approximately 298.85 degrees
We can use vector addition to find the direction of the resulting force. Let's call the force exerted by the first bulldozer F1, and the force exerted by the second bulldozer F2. We can represent each force as a vector with a magnitude and direction.
F1 has a magnitude of 1850 pounds and points in a westerly direction. We can represent it as a vector (-1850, 0).
F2 has a magnitude of 3250 pounds and points in a northerly direction. We can represent it as a vector (0, 3250).
To find the resulting force, we need to add these two vectors. We can do this by adding the x-components and the y-components separately.
The x-component of the resulting force is -1850 (from F1) plus 0 (from F2), which is -1850.
The y-component of the resulting force is 0 (from F1) plus 3250 (from F2), which is 3250.
So the resulting force is a vector with components (-1850, 3250). We can find the direction of this vector by taking the inverse tangent of the ratio of the y-component to the x-component.
tan(theta) = (3250) / (-1850)
theta = -61.15 degrees
The negative sign indicates that the resulting force points to the southwest. To get the angle in the range of 0 to 360 degrees, we can add 360 degrees to the angle if it is negative.
theta = 360 - 61.15
theta = 298.85 degrees
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Please help me with this. Will give brainliest to the best answer. Image attached
Answer:
1: x= 10
Step-by-step explanation:
I only know the first one, sorry, but if its any help then for #2: x= 8
X3 + C = B
B = 24x83
B+X+C = Y
Answer:
X ^3 + C = B , B = 24 x ^83 , B + X + C = Y
Step-by-step explanation:
ou need to rent a truck for one day to move to a new house. uhaul charges $50 a day plus $0.99 per mile. to rent the same size truck from penske will cost $350 a day with no mileage charge. at how many miles will both companies have the same total cost? round your answer to the nearest whole number if needed.
The miles will be around 303 miles, both Uhaul and Penske will have the same total cost.
To determine at what point both companies have the same total cost, we need to set up an equation.
Let x be the number of miles driven.
For Uhaul, the cost will be $50 + $0.99x.
For Penske, the cost will be $350.
Setting these two expressions equal to each other, we get:
$50 + $0.99x = $350
Simplifying this equation, we get:
$0.99x = $300
U-Haul: Cost_UH = 50 + 0.99 * miles
Penske: Cost_P = 350
Set the equations equal to each other to find the number of miles where the costs are equal.
50 + 0.99 * miles = 350
Solve for the number of miles.
0.99 * miles = 350 - 50 0.99 * miles = 300 miles = 300 / 0.99
Calculate the number of miles and round to the nearest whole number if needed.
miles ≈ 303
So,
At approximately 303 miles, both companies will have the same total cost for renting a truck for one day.
Dividing both sides by $0.99, we get:
x ≈ 303.03
It is important to note that this calculation assumes that the only cost for Uhaul is the rental fee and mileage charge, and does not include any additional fees or charges that may be incurred during the rental period.
It is also important to consider other factors such as the availability of trucks, customer service, and any additional services offered by the rental companies before making a final decision.
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Which expression is not a polynomial?
Answer:
B.
Step-by-step explanation:
For an expression to be a polynomial , it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Answer:
B
Step-by-step explanation: