Answer:
(x-4.34)(x+1.84)=0
Step-by-step explanation:
2x^2 -5x-16=0
delta=
\(25 + 4 \times 2 \times 16 = 153\)
x1,2=
\((5 + \sqrt{153} ) \div 4 = 4.34 \\ (5 - \sqrt{153} ) \div 4 = - 1 .84\)
In a bag of counters 2/5 are blue. 18 are blue.
Work out the total number of counters in the bag.
Answer:
45 is the answer I think I don't know
pls help! Thank you! (10 points)
Answer:
{-1, 1}
Step-by-step explanation:
The x-intercept is the x value when y = 0.
Another way to reword that is when the graph crosses the x-axis.
We see from the graph that the graph crosses the x-axis when x = -1 and x = 1. Therefore, those are our x-intercepts.
If the car continued at the same acceleration (meaning the slope of the line does not change), how fast
would it be going in 15 seconds?
Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.
Select the correct answer.
Which complex number is equivalent to the given expression?
(2 + i)(8 – 3i) – (23 + 34i)
Answer:
-47
Step-by-step explanation:
Answer:
-4 - 32i
Step-by-step explanation:
Got it right on the test
Tatiana has a bank account balance of $-120 before another check worth $40 is withdrawn from her account. What is her new account balance?
can someone help plis??
Answer:-
Step-by-step explanation:
-120 - 40- would be -160 because when negative you go up when subtracting.
(not sure if I'm right. take this answer at your own risk)
What is the value of cos 30° cos 90° - sin 30° sin 90°
Answer:
--1/2 or -0.5
Step-by-step explanation:
Step-by-step explanation:
cos 30° cos 90° - sin 30° sin 90°
cos 30° = √3/2
cos 90°=0
sin30°= ½
sin 90°=1
= √3/2(0) -½(1)
=-½
A section of a highway is constructed with a 23% grade. What angle does the highway make with a horizontal line
If a section of a highway is constructed with a 23% grade, the angle that the highway will make with a horizontal line will be: 13°.
How to determine the angleUsing the SOH CAH TOA formula, the angle that the highway will make with the horizontal line can be gotten by finding the tangent which is the
vertical/horizontal
Horizontal = 100 ft
Angle of inclination = 0.23
For the 23% grade, we will have
tan⁻1 of 0.23 = 12.9527°
= 13.0°
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Michele was making tuna salad for a party. The recipe for 10 servings called for 8 oz of mayonnaise. A total of 240 people were expected to be at the brunch. How much mayonnaise would Michele need?
1. Divide 240 by 10 = 24
2. Multiply 24 • 8 = 192
Michele will need 192 oz. of mayonnaise.
Answer:
192 oz
Step-by-step explanation:
Hi there!
1) Create a proportion
\(\frac{8 (oz)}{10(servings)} =\frac{x(mayo)}{240(servings)} \\\frac{8}{10} =\frac{x}{240}\)
2) Solve for x
\(\frac{8}{10} =\frac{x}{240}\)
Multiply both sides by 240
\(\frac{8}{10} *240=x\\192=x\)
Therefore, Michele would need 192 oz of mayonnaise.
I hope this helps!
If i add (2x-3y=10) and (5x+3y=-4) what is the result
Answer:
7x = 6
Step-by-step explanation:
2x - 3y = 10
+ 5x + 3y = -4
------------------------
7x = 6
12. Let f(x)= -8x+5. Find f(1/2)
13. Let g(x) = -x^2+5x+2. Find and simplify g(-3)
14. Let f(x) = -5x+6. Find and simplify f(x+3)
f(x+3) =
let w = span{u1, u2} where u1 = 2 5 −1 and u2 = −2 1 1 . let y = 3 2 1 , find the orthogonal projection of y onto w
The orthogonal projection of y onto the subspace spanned by w is (2 2 0).
To find the orthogonal projection of vector y onto the subspace spanned by vectors u1 and u2, we can use the formula:
Proj_w(y) = ((y · u₁) / (u₁ · u₁)) * u₁ + ((y · u₂) / (u₂ · u₂)) * u₂
where "." represents the dot product.
Let's calculate step by step:
Calculate the dot products:
y·u₁ = 3 * 2 + 2 * 5 + 1 * (-1) = 6 + 10 - 1 = 15
u₁·u₁ = 2 * 2 + 5 * 5 + (-1) * (-1) = 4 + 25 + 1 = 30
y·u₂ = 3 * (-2) + 2 * 1 + 1 * 1 = -6 + 2 + 1 = -3
u₂·u₂ = (-2) * (-2) + 1 * 1 + 1 * 1 = 4 + 1 + 1 = 6
Calculate the scalar multiples:
((y·u₁) / (u₁·u₁)) = 15 / 30 = 0.5
((y·u₂) / (u₂·u₂)) = -3 / 6 = -0.5
Calculate the orthogonal projections:
Proj_w(y) = 0.5 * u₁ + (-0.5) * u₂
Now we substitute the values of u₁ and u₂ into the equation:
Proj_w(y) = 0.5 * (2 5 -1) + (-0.5) * (-2 1 1)
= (1 2.5 -0.5) + (1 -0.5 -0.5)
= (1 + 1 2.5 - 0.5 - 0.5)
= (2 2 0)
Therefore, the orthogonal projection of y onto w is (2 2 0).
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to solve m + 9 = 45, should you add or subtract 9 from both sides of the equation
Answer:
subtract 9 from both sides
Step-by-step explanation:
m + 9 = 45 ( subtract 9 from both sides )
m = 36
Answer:
Subtract
Step-by-step explanation:
You should subtract since the equation says to add.
You basically do the opposite of what it says.
For example, if it was m - 9 = 45 you would add 9 on both sides, but in this case, you would subtract since its m + 9 = 45
m + 9 = 45
subtract nine by 9 and 45:
m = 36
36 + 9 = 45
Simplify -2(4 – 5s + 12t – 2u)
Answer: -8+10s-24t+4u
Steps: Multiply the parantheses by -2
-2×4-2×(-5s)-2×12t-2×(-2u)
Multiply the numbers and calculate the product.
-8+10s-2×12t-2×(-2u) → -8+10s-24t-2×(-2u) → -8+10s-24t+2×2u
And you get -8+10s-24t+4u
Hope this helps ʕ•ᴥ•ʔ
Expand (x + 3)2
pls include a lot of details
Answer:
2x+6
Step-by-step explanation:
1) Re-order terms so constants are on the left.
(x+3) · 22(x+3)2) Distribute.
2(x+3)2x+6Answer:
Thats your answer with steps
Step-by-step explanation:
Alison used a coordinate grid to show where the trees are in her backyard. She wants to put a birdbath exactly halfway between the two oak trees. What are the coordinates of this location? If each grid represents 1 foot, how far apart are the two oak trees? What is the perimeter of the triangle determined by the three trees? (Round your answer to the nearest foot)
Answer:(5,4)
Step-by-step explanation:
Given that P(BA) means the probability of event B occurring given that event A will occur or has occurred, which of the following correctly calculates this probability?
A) P(B)
B) P(A and B)/P(B)
C) P(A)/P(B)
D) P(A and B)/P(A)
Answer:
D
Step-by-step explanation:
the answer is d because b and a have to happen at the same time
To find the required probability the formula is, P(B|A) = P(A and B)/P(A)
The the correct answer is an option (D) P(A and B)/P(A)
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
What is conditional probability?"It is the possibility of an event occurring, based on the occurrence of a previous event."
What is conditional probability formula?the conditional probability of event A, given that event B has occurred
P(A|B) = P(A and B)/P(B)
For given example,
the probability of event B occurring given that event A will occur or has occurred,
Using conditional probability formula,
P(B|A) = P(A and B)/P(A)
Therefore, the correct answer is an option (D) P(A and B)/P(A)
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Can some Please help me with this please please :(((( (The Image is In The Question)
When Hana goes to the mall, she always buys the same lunch and also buys some books. The table shows the number of books she buys, x, and the total amount of money she spends, y.
If this data were displayed in a scatter plot, select ALL statements that would be true about a good trend line summarizing the data.
SELECT GROUP OF ANSWER CHOICES
A. The y-intercept approximates the average cost of one book.
B. The y-intercept approximates the cost of Hana's lunch.
C. The slope approximates the cost of Hana's lunch.
D. The trend line goes through the origin.
E. The slope approximates the average cost of one book.
The odds against Ishaq getting hired for a job are 15:16. Determine the probability (a) Ishaq gets hired. (b) Ishaq does not get hired. a. The probability Ishaq gets hired is (Simplify your answer.) b. The probability Ishaq does not get hired is (Simplify your answer.)
The odds against Ishaq getting hired are 15:16, which means that out of 31 potential outcomes (15+16), 15 of them represent him not getting hired and 16 represent him getting hired.
a. To determine the probability that Ishaq gets hired, we need to divide the number of favorable outcomes (16) by the total number of outcomes (31):
Probability (Ishaq gets hired) = 16/31
b. To determine the probability that Ishaq does not get hired, we need to divide the number of unfavorable outcomes (15) by the total number of outcomes (31):
Probability (Ishaq does not get hired) = 15/31
a. To find the probability that Ishaq gets hired, we need to first understand the given odds. The odds against Ishaq are 15:16, which means there are 15 unfavorable outcomes (not getting hired) and 16 favorable outcomes (getting hired).
To find the probability, we'll use this formula:
Probability = Favorable outcomes / Total outcomes
In this case, the total outcomes are the sum of favorable and unfavorable outcomes (15 + 16 = 31). Now, we can calculate the probability that Ishaq gets hired:
Probability Ishaq gets hired = Favorable outcomes / Total outcomes = 16 / 31
So, the probability that Ishaq gets hired is 16/31.
b. To find the probability that Ishaq does not get hired, we can use the unfavorable outcomes:
Probability Ishaq does not get hired = Unfavorable outcomes / Total outcomes = 15 / 31
So, the probability that Ishaq does not get hired is 15/31.
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The graph of a proportional relationship passes through the given point and (1, y). Find y.
Given point: (19, 342)
Answer: 4/3
Step-by-step explanation:
The digit to the right of the hundreds place is?
The number is 3.2906
Answer:
3.2906, The 9
hope this helps :)
Zendaya has 5/6 yard of wood to make racks for a wood game . Each rack needs to be 1/6 yard long. How many racks can Zend ayah make from her piece wood? Show how you found the answer.
Answer:
Number of rack made from total wood = 5 rack
Step-by-step explanation:
Given:
Length of wood Zendaya has = 5/6 yard
Length of each rack = 1/6 yard
Find:
Number of rack made from total wood
Computation:
Number of rack made from total wood = Length of wood Zendaya has / Length of each rack
Number of rack made from total wood = [5/6] / [1/6]
Number of rack made from total wood = [5/6][6/1]
Number of rack made from total wood = 5 rack
sss asa sas aas hL or None
Answer:
B E A F and G are the answers to this question.
Step-by-step explanation:
Answer:
g is none
Step-by-step explanation:
in the regression line y = a+ bx + e, a is the slope of the regression line.
In the regression line y = a+ bx+ e, a is the slope of the regression line.
The above statement is False.
The correct Statement is :
The linear regression line has an equation of the form Y =a + bX
where, Y is called the dependent variable or response.
X means independent or predictor or explanatory variable.
a is the y-intercept and b is the slope of the line.
Regression Line:
A regression line is a statistical tool that shows the correlation between two variables. Specifically, it is used when the variation of one (the dependent variable) depends on changes in the value of the other (the independent variable).
Simple linear regression has two cases:
The equation is Y on X, and the value of Y changes as the value of X changes. The formula is X over Y, and the change in X varies with the deviation of the Y variable.The formula for the least squares regression line (LSRL) from Y to X is:
Y=a + bX + ɛ
where,
Y is the dependent variable.
a is the Y intersection.
b is the slope of the regression line.
X is the independent variable.
ɛ is the residual (error).
and
b = (N∑XY-(∑X)(∑Y) / (N∑X2– (∑X)2) ;
and
a = (∑Y – b ∑X) / N
where, N is the total number of observations.
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an exam has 12 problems. how many ways can (integer) points be assigned to the problems if the total of the poitns is 100 and each problem is worth at least five points
The number of ways integer points can be assigned to the 12 problems, given that the total points is 100 and each problem is worth at least five points, can be calculated using a combinatorial approach.
To determine the number of ways, we can use the concept of stars and bars, which is a combinatorial technique used to distribute indistinguishable objects into distinguishable groups. In this case, the stars represent the total points (100) and the bars represent the dividers between the problems.
Since each problem is worth at least five points, we can consider a minimum of five points already assigned to each problem. This means we need to distribute the remaining points (100 - 12*5 = 40 points) among the 12 problems.
Using the stars and bars approach, we have 40 stars (representing the remaining points) and 11 bars (representing the dividers between the 12 problems). The number of ways to arrange these stars and bars is equivalent to the number of ways to assign points to the problems.
The answer, therefore, can be calculated using the formula for combinations with repetition: C(n + k - 1, k - 1), where n is the number of stars (40) and k is the number of bars (11).
Hence, the number of ways to assign integer points to the problems is C(40 + 11 - 1, 11 - 1) = C(50, 10).
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The number of ways of arranging all trials to be failures in a binomial distribution is:?
In a binomial distribution, the number of ways of arranging all trials to be failures is 1. This means that there is only one way to have all trials result in failures, as each trial can only have one possible outcome - a failure.
1. In a binomial distribution, each trial can result in either a success or a failure. Let's assume that there are n trials in total.
2. To arrange all trials to be failures, we need to ensure that no trial results in a success. Therefore, for each trial, there is only one possible outcome - a failure.
3. The number of ways of arranging all trials to be failures can be calculated using combinations. In this case, we need to select 0 successes from n trials. The number of ways to do this is given by the combination formula: C(n, 0) = 1, where C represents the combination.
Therefore, the number of ways of arranging all trials to be failures in a binomial distribution is given by the combination formula, C(n, k) = n! / (k! * (n-k)!).
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The number of ways of arranging all trials to be failures in a binomial distribution is always 1. This is because there is only one way to have no successes in a set of trials.
Regardless of the number of trials or the probability of success, the number of ways of arranging all trials to be failures in a binomial distribution is always 1.
The number of ways of arranging all trials to be failures in a binomial distribution can be determined using the formula for the binomial coefficient.
The binomial coefficient, often denoted as nCk or n choose k, represents the number of ways to choose k items from a set of n items, without considering their order. In the context of a binomial distribution, n represents the total number of trials and k represents the number of successes (in this case, 0).
To find the number of ways of arranging all trials to be failures, we can use the binomial coefficient formula:
nCk = n! / (k!(n-k)!)
In this case, since we want all trials to be failures, k is equal to 0. Thus, the formula simplifies to:
nC0 = n! / (0!(n-0)!) = n! / (0! * n!) = 1
For example, if we have 5 trials and we want all of them to be failures, there is only one possible arrangement: FFFFF, where F represents a failure.
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Is the sequence bellow
geometric?
6, 12, 18, 24, 30, 36, 42
Answer:
Yes because its a pattern of sixes???
Answer:
No
Step-by-step explanation:
There is no common ratio between these numbers
12/6 = 2
18/12 = 1.5
24/18 1.333 etc
However, this is an arithmetic progression as it has a common difference of 6
Will give brainly help!!!!
Answer:
See below
Step-by-step explanation:
At 160 miles, Maya will have less gas by what looks like a gallon (hard to tell becuase the picture is blurry)
At 200 miles they have the same amount of gas, Maya still has less gas remaining
a floating 40-in.-thick piece of ice sinks 1 in. with a 500-lb polar bear in the center of the ice. what is the area of the ice in the plane of the water level? for seawater, s = 1.03.
The area of the ice in the plane of the water level can be calculated using the formula A = W/s, where A is the area, W is the weight of the polar bear, and s is the specific gravity of seawater.
Given that the weight of the polar bear is 500 lbs, and the specific gravity of seawater is 1.03, we can plug these values into the formula:
A = 500/1.03
A = 485.44 square inches
Since the ice is 40 inches thick and it sinks 1 inch with the polar bear on it, the area of the ice in the plane of the water level is 485.44 square inches multiplied by the thickness of the ice, which is 40 inches:
A = 485.44 * 40
A = 19417.6 square inches
Therefore, the area of the ice in the plane of the water level is 19417.6 square inches.
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Function g is a transforamtion of the parent cosine function such that g (x) =3cos(x+2)+1 which paragrsugh representz g?
The correct option is (C) The graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.
The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.
A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Option (C) gives a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.
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Answer:
see photo
be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.
Step-by-step explanation:
Plato/Edmentum