The values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3
How to solve for A, B, C and D?From the question, we have:
x^3 + 8x - 3 = Ax^3 + 5Ax + Bx^2 + 5B + Cx + D
Collect like terms
x^3 + 8x - 3 = Ax^3 + Bx^2 + 5Ax + Cx + 5B + D
By comparing the coefficients, we have:
Ax^3 = x^3
Bx^2 = 0
5Ax + Cx = 8x
5B + D = -3
Remove the x factors
A = 1
B = 0
5A + C = 8
5B + D = -3
Substitute A = 1 in 5A + C = 8
5(1) + C = 8
Solve for C
C = 3
Substitute B = 0 in 5B + D = -3
5(0) + D = -3
Solve for B
D = -3
Hence, the values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3
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How many solutions are there to the equation below?
4(x – 5) = 3x + 7
Answer:
one solution
Step-by-step explanation:
4(x - 5) = 3x + 7
4x - 20 = 3x + 7
4x - 3x = 7 + 20
x = 27
Answer:
1 solution
Step-by-step explanation:
x = 27
distribution of 4 into x and -5
4x-20 = 3x +7
-3x+20=-3x+20
x = 27
i need help with this question on my homework
Answer:
the angle would be 64°
Step-by-step explanation:
since the other angle is already 296° having the other angle would add to complete the 360 degrees of the circle
Answer:
Step-by-step explanation:
64 because you subtract 360 by 296
The figure below is made of 2 rectangular prisms.
What is the volume of this figure?
Answer:
6536 cubic in
Step-by-step explanation:
1. Split both the prisms apart- In doing so, you can simplify the problem.
2. Put in the #'s for the formula which in this case is V=L*W*H, we will start with the formula for the front one, V=7*8*1 or V=7*8
3. answer for the front is 56 cubic in, now we solve for the other half.
4. V=9*1*90 or V=9*90 which is 6480 cubic in.
5. add 6480 and 56 and your answer is 6536 cubic in as your answer.
Hope this helped ;D
Alla and Balla together drink 750 milliliters (ml) of water. If Alla drinks 50% more than
Balla, how much does Alla drink?
Answer:
Step-by-step explanation:
A + B = 750
A = 1.5 B
~~~~~~~~~~~~~~
750-B = 1.5 B
750 = 1.5 B + B
750 = B(1.5 +1)
750 = B (2.5)
B = 300
A = 450
your teacher plotted a set of cordinetes that contained a negative x and positive y Wich point graphed below could represent the point plotted
Answer:a
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
This set of coordinates does represent a point [tex]P(x,y)[/tex].
Considering a Euclidian plane, such that [tex]P(x,y) \in\mathbb{R}^2[/tex], we have [tex]x\in(-\infty, 0)[/tex] and [tex]y\in[0, \infty)[/tex] . Therefore, the point is in Quadrant II. You possibly forgot to give the points, but point like [tex](-1, 2), (-20, 5), (-1.234, 78)[/tex] could be the answer. In fact, you can just define the point as
[tex]P(x,y) \in\mathbb{R}^2 : x\in(-\infty, 0) \text{ and } y\in[0, \infty)[/tex]
A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the average number of runs scored by a Little League team in a game is 5.7. He chooses five games at random and finds the mean number of runs scored is 7.4 with a sample standard deviation of 2.88.
Required:
Is it likely that his team's scores is different than the national average?
Answer:
That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average
Step-by-step explanation:
The National average number of runs scored by a LL team is
μ = 5.7
Sample Information:
size sample n = 5
sample average x = 7.4
sample standard deviation s = 2.88
Is required to investigate if that sample average is statistically different from the National average
We will do a test with 95 % of confidence Interval that means
significance level α = 5 % or α = 0.05.
The sample size is 5 then even when we assume normal distribution the sample size indicates that we need to use t-student distribution. Furthermore, as the question is if the sample average is different from the national the test will be a two-tail test.
Then α = 0.05 α/2 = 0.025
df = n - 1 df = 5 - 1 df = 4
Then from t-student table we get t(c) = 2.132
Hypothesis test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
To calculate t (s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 7.4 - 5.7 )* 2.24 / 2.88
t(s) = 1.7* 2.24 / 2.88
t(s) = 1.32
Comparing t(s) and t(c)
1.32 < 2.132
That result implies that t(s) is in the acceptance region for H₀ then we accept H₀, there is not statistics difference between the LL team and the national average
Which expression is equivalent to (st)(6)?
s(t(6))
s(x) × t(6)
s(6) × t(6)
6 × s(x) × t(x)
Answer:
A
Step-by-step explanation
Answer:
the answer is c
Step-by-step explanation:
distributive property
Given:
p: 2x = 16
q: 3x – 4 = 20
RE
Which is the converse of p - q?
ООО
If 2x + 16, then 3x - 47 20.
If 3x - 420, then 2x + 16.
If 2x = 16, then 3x – 4 = 20.
If 3x - 4 = 20, then 2x = 16
Given:
The given statements are:
[tex]p:2x=16[/tex]
[tex]q:3x-4=20[/tex]
To find:
The converse of [tex]p\to q[/tex].
Solution:
The statement [tex]p\to q[/tex] means if p, then q and the converse of this statement is [tex]q\to p[/tex].
[tex]q\to p[/tex] means if q , then p.
We have, [tex]p:2x=16[/tex] and [tex]q:3x-4=20[/tex].
So, the converse of given statement is:
[tex]q\to p:[/tex] If [tex]3x-4=20[/tex], then [tex]2x=16[/tex].
Therefore, the correct option is D.
Answer: Therefore, the correct option is D.
Step-by-step explanation:
Given:
p: 2x = 16
q: 3x – 4 = 20
RE
Which is the converse of p - q?
ООО
If 2x + 16, then 3x - 47 20.
If 3x - 420, then 2x + 16.
If 2x = 16, then 3x – 4 = 20.
If 3x - 4 = 20, then 2x = 16
To find:
The converse of .
Solution:
The statement means if p, then q and the converse of this statement is .
means if q , then p.
We have, and .
So, the converse of given statement is:
If , then .
Therefore, the correct option is D.
Choose the Athat seems to be congruent to the given one.
R.
F
D
B
AEGFA
OEGD
o CGD
BGC
Answer:
a. ∆EGF ≅ ∆EGD
Step-by-step explanation:
Congruent triangles would have the same side lengths and the same measure of angles.
From the figure given:
EG in ∆EGF ≅ EG in ∆EGD
GF in ∆EGF ≅ GD in ∆EGD, also
EF ≅ ED.
The three angles in ∆EFG are also congruent to the three angles in ∆EGD.
Therefore, ∆EGD is congruent to ∆EGF.
∆EGF ≅ ∆EGD
At midday the temperature in Moscow was 7°C.
At midnight it was -3°C.
By how many degrees did the temperature fall?
Answer:
10 degrees C
Step-by-step explanation:
the difference between both temperatures is expressed by a subtraction
7 - -3 = 7 + 3 = 10
you could also do the subtraction the other way around :
-3 - 7 = -10
but the negative sign has no meaning for a distance between two points (a distance itself has no direction).
so, we are always using the absolute value of such difference calculations (when it is about lengths, distances, and so on, where the direction had no meaning).
and so, also the -10 is actually simply 10 for our problem here.
the temperature fell by 10 degrees.
What is the length of the line segment joining the points A(3, - 5) and B(-5,1)?
Divide the following two complex numbers.
3+2i
5-3i
Step-by-step explanation & answer:
Conjugate = 5+3i
Multiply fraction by conjugate:
(15+9i+10i+6i^2) / (25-9i^2)
Simplify:
(15+19i+6i^2) / (25-9i^2)
i^2 is -1:
(15+19i-6) / (25+9)
So:
9+19i / 34
Into a +bi form:
9/34 + 19i/34
Q2 find the degree of the polynomial
x4(4x+1)
Step-by-step explanation:
x⁴(4x+1)
4x⁵+x⁴
degree is 5
Over what interval is the parabola below decreasing?
3<. x. <∞
−∞ <. x. <3
−1<. x. <∞
−∞ < x < −1
Answer:
B. -oo < x < 3
Step-by-step explanation:
since the vertex (3, -1), so, x should be less than 3
-oo < x < 3
Find the measure of angle X. The horizontal lines are parallel. HINT: The sum
of all interior angles in a triangle is 180 degrees.
===========================================================
Explanation:
The angle adjacent and supplementary to the 107 degree angle is 73 degrees because 107+73 = 180.
Or you could say 180 - 107 = 73.
The base angles of the upper isosceles triangle are 73 degrees each, which means the third remaining angle (let's call it y for now) is
73+73+y = 180
146+y = 180
y = 180-146
y = 34
Refer to the diagram below. Notice how the 34 degree angle shows up twice because we have vertical angles. Consequently, the base angles of the bottom isosceles triangle are y = 34 degrees each
We can now solve for x
y+y+x = 180
34+34+x = 180
68+x = 180
x = 180-68
x = 112, so the answer is choice D
Can someone help me with this question please.
Answer:
40
Step-by-step explanation:
As the lawn size increases by 4 the weight increases by 8
The Madison Cosmetics Company has developed a new women's facial cleanser that they believe is superior to those currently on the market in the $5 - $10 range. They wish to test the cleanser against the two current best-sellers.
A. Identify a potential problem with using a completely randomized experimental design to test the cleanser. Explain.
B. The company executives decide to design and carry out a block design experiment to test the new cleanser against its competition. Choose an appropriate blocking scheme for the experiment and justify your choice.
C. Should the company put a control group into the experiment? Why or why not?
D. Could the experiment be a double-blind experiment? Explain.
Answer:
a. there could be a problem of high error
b. randomized block design can remove the issue of heterogeneity
c. yes they should
d, yes it could
Step-by-step explanation:
a. if their is a lack of homogeneity among the sample population, then the results that would be obtained are going to be with increased experimental error.
b. given the number of treatment, the randomized block design technique can be done. This would then remove the issue of heterogeneity. It also gives more information and the results from the test are easier. Even in the presence of missing data, the missing plot technique can be employed.
c. when a control group is used, it makes easier the examination of the market research in a more effective way.
d. Yes it could be a double blind one. This would help to take away the problem of bias.
6. Roll a pair of dice. What is the probability that a total of 12 will be face up?
Answer:
The Probability would be 2.78%
Step-by-step explanation: Hope this helps :)
Is 256.78 power by 10 100 or 1000
Answer:
I would say 100 since 256.78 is closer to 100 then 1000 or 10
Step-by-step explanation:
please help me please help me please help me please help me please help me please help me please
Answer:
1. -4
2(12,35,37). hope helpful answerAnswer:
Question 1 = 256
Question 2 = ( 7, 8, 12)
A graph is shown below:
A graph is shown. The values on the x axis are 0, 4, 8, 12, 16, and 20. The values on the y axis are 0, 16, 32, 48, 64, and 80. Points are shown on ordered pairs 0, 64 and 4, 48 and 8, 32 and 12, 16 and 16, 0. These points are connected by a line.
What is the equation of the line in slope-intercept form?
Answer:
b
Step-by-step explanation:
The equation of the line in slope-intercept form is y= 4x+0
What is slope intercept?The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
slope m,
= y2-y1/x2-x1
= 16-0/4-0
=16/4
=4
m=4
So, the equation will be , y= 4x+0
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what are the first five terms of the recursive sequence
Answer: Choice D
9, 30, 93, 282, 849
============================================================
Explanation:
The notation [tex]a_1 = 9[/tex] tells us that the first term is 9
The notation [tex]a_n = 3*(a_{n-1})+3[/tex] says that we multiply the (n-1)st term by 3, then add on 3 to get the nth term [tex]a_n[/tex]
So if we wanted the second term for instance, then we'd say
[tex]a_n = 3*(a_{n-1})+3\\\\a_2 = 3*(a_{2-1})+3\\\\a_2 = 3*(a_{1})+3\\\\a_2 = 3*(9)+3\\\\a_2 = 27+3\\\\a_2 = 30\\\\[/tex]
If we want the third term, then,
[tex]a_n = 3*(a_{n-1})+3\\\\a_3 = 3*(a_{3-1})+3\\\\a_3 = 3*(a_{2})+3\\\\a_3 = 3*(30)+3\\\\a_3 = 90+3\\\\a_3 = 93\\\\[/tex]
and so on.
The terms so far are: 9, 30, 93
You should find the fourth and fifth terms are 282 and 849 respectively if you keep this pattern going.
Therefore, the answer is choice D
Find the length of side x
Answer:
Step-by-step explanation:
tan(30) = x/1
sqrt(3) / 3 = x/1
x= sqrt(3) / 2
PLEASE HELP
If the absolute value represents the distance from zero, can we have a negative distance?
Answer:
No, you cannot have a negative distance.
Step-by-step explanation:
No, you cannot have a negative distance.
Let's say you were asked for the absolute value of -4. How many units is -4 away from 0? The answer would be 4. There is no negative distance from 0.
Hope this helps, please mark brainliest! :)
Write the phrase as an algebraic expression and simplify if possible. Let x represent the unknown number
Three times a number, decreased by five
(Simplify your answer.)
To express the phrase "Three times a number, decreased by five" as an algebraic expression, we can use the variable x to represent the unknown number: 3x - 5
Now, let's simplify this expression: Given that the unknown number is represented by x, we can substitute it into the expression above. Substituting x into the expression, we have: [tex]3(x) - 5 3x - 5[/tex] Therefore, the algebraic expression representing "Three times a number, decreased by five" is [tex]3x - 5.[/tex] At this point, there is no further simplification possible since the expression is already in its simplest form.
For example, let's assume the unknown number x is 7. We can plug in this value to evaluate the expression: [tex]3(7) - 5 = 21 - 5 = 16[/tex] Similarly, if x is -2, the calculation would be: [tex]3(-2) - 5 = -6 - 5 = -11[/tex] In conclusion, the algebraic expression 3x - 5 represents the phrase "Three times a number, decreased by five."
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Yam
190
Groundnuts
90
Vegetables
30. What is the ratio of the land used
for groundnuts to the land for
vegetables
Answer:
3:1
Step-by-step explanation:
90:30 simplified is 3:1
What is an equation of the line that passes through the points (5, 0) and (-5, -8)
Answer:
Step-by-step explanation:
m = (y2-y1) / (x2-x1)
m = (-8-0) / (-5-5) = 4/5
note that it does not matter which points you chose to be second or first
then use slope point equation again it does not matter which point from the slope you use
y - y1 = m ( x - x1 )
y - 0 = 4/5 ( x - 5)
y = 4/5x -4
please if you find my answer helpful mark it brainiest
If the distance from D to D' is 10 and the distance from A to D is 2 what is the scale factor?
Answer:
5
Step-by-step explanation:
10/2=5
The scale factor of the given case that the distance from D to D' is 10 and the distance from A to D is 2 will be 5.
What is the scale factor?
The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics.
The scale factor is the ratio between two big and small figures and the ratio is called a scale for the given geometry.
For example, if we have a triangle with a side of 10 meters and another triangle with a side of 5 then the scale ratio will be 10/5 = 2.
Given that
distance from D to D' is 10
distance from A to D is 2
So the scale ratio will be
DD'/AD = 10/2 = 5 hence scale ratio will be 5 for the given
geometry.
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ASSESSMENT:
Act as the person in the problem Do the activity. Record your
findings then answer
1. A farmer placed 250 mangoes in a crate, these are 150 ripe and 100 unripe
mangoes, his wife randomly selected 80 mangoes, she got 50 ripe mangoes
and 20 unripe mangoes, find the experimental probability of the mangoes she
selected.
2. A table tennis player has 40 orange table tennis balls, 30 white and 20 yellow
table tennis balls. After selecting 18 balls, he found out that he got 6 white
table tennis balls. Find out the experimental probability of getting white table
tennis table tennis balls.
please answer this
Answer:
in 1st his wife selected 80 mangoes 50 ripe and 20 unripe how it can be
Step-by-step explanation:
50+20=70 not 80
please share the correct question than I may help you
The quadratic function y = -x2 + 10x - 8 models the height of a trestle on a bridge. The x-axis represents ground level.
To find where the section of the bridge meets ground level, solve 0 = -x2 + 10x - 8.
Where does this section of the bridge meet ground level?
Answer: 0.876, 9.123
Step-by-step explanation:
The function is [tex]y=-x^2+10-8[/tex]
It meets the ground level when [tex]y[/tex] is 0
[tex]\Rightarrow -x^2+10x-8=0\\\Rightarrow x^2-10x+8=0\\\\\Rightarrow x=\dfrac{10\pm \sqrt{(-10)^2-4(1)(8)}}{2}\\\\\Rightarrow x=\dfrac{10\pm \sqrt{68}}{2}\\\\\Rightarrow x=5\pm \sqrt{17}\\\Rightarrow x=0.876,\ 9.123[/tex]
Thus, it touches the ground at two points given above