Answer:
m=√14,−√14
Decimal Form:
m=3.74165738, -3.74165738
Step-by-step explanation:
Find the value of x.
If we know that W is a subset of the vector space V and we know that W contains the zero vector 0, then W must be a subspace of V.
True
False
The statement that W must be a subspace of V is "true."
What exactly is a vector's subspace?A vector space that's also enclosed inside another vector space is referred to as a subspace. So each subspace is a vector space in and of itself, but it is also defined in relation to another (larger) vector space.Fr the given question;
To demonstrate that a subset is indeed a subspace, you must demonstrate three things:
Show that it is closed in addition. Demonstrate that it is closed under scalar multiplication. Demonstrate that vector 0 is included in the subset.As, it is given in the question that;
W is a subset of the vector space V. W contains the zero vector.Which shows that the W must be within the subspace of V.
Thus, the set W is the subspace of V is true statement.
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The integral of
f(x)=100x^99+20x^4+2/x^2+3/x+9
is
Answer:
(a)
Step-by-step explanation:
You want to identify the integral of f(x)=100x^99+20x^4+2/x^2+3/x+9.
Power ruleFor all powers of x except x^-1 = 1/x, the power rule applies:
[tex]\int{x^n}\,dx=\dfrac{x^{n+1}}{n+1}[/tex]
LogarithmThe power rule cannot apply when n=-1, as that would make the integral undefined. Instead, the integral is ...
[tex]\int{x^{-1}}\,dx=\ln{(x)}[/tex]
ConstantsAny constant multiplier (k) of the expression being integrated will be a constant multiplier of the integral of that expression.
Any indefinite integral may have a constant (c) added.
[tex]\displaystyle k\cdot\int{f'(x)}\,dx=k\cdot f(x)+c[/tex]
Applying these rules, we get the integral shown in the attachment.
Work out
(
4
×
10
4
)
×
(
2.2
×
10
8
)
Give your answer in standard form.
Answer:
I think it’s 28160
Answer:
8.8×10^12
Step-by-step explanation:
4×10^4 = 40000
2.2×10^8 = 220000000
220000000×40000=8800000000000
8800000000000 = 8.8×10^12
Resolver
4+5.2+3·6÷2=
Answer:
11
Step-by-step explanation:
[tex]4+5.2+3.6 \div 2 \\ \\ =4+5.2+1.8 \\ \\ =9.2+1.8 \\ \\ =11[/tex]
Evaluate x³ - y¹ if x = 2 and y = 7.
Step-by-step explanation:
x³-y¹ if x=2,y=7 we will just substitute for the value
2³-7¹
=8-7
=1
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El conjunto de todos los
números Cardinales entre 4 y 14
El conjunto de todos los
números Cardinales entre 4 y 14
=4,5,6,7,8,9,10,11,12,13,14
números Cardinales:
Los números cardinales son los números que se usan para contar algo. También se dice que estos son cardenales. Los números cardinales son los números de conteo que comienzan desde 1 y continúan secuencialmente y no son fracciones.
El significado de los cardenales es "cuántos" de cualquier cosa existen en un grupo.
o
Los cardenales significan "cuánto" existe en un grupo.
Por ejemplo, si queremos contar el número de manzanas que hay en la cesta, tenemos que hacer uso de estos números, como 1, 2, 3, 4, 5… y así sucesivamente. Los números nos ayudan a contar el número de cosas o personas presentes en un lugar o grupo. Los números cardinales denotan la colección de todos los números ordinales.
El conjunto de todos los
números Cardinales entre 4 y 14
=4,5,6,7,8,9,10,11,12,13,14
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Eight rational numbers are plotted on a number line.
A number line with Point A labeled at negative three halves. Point B is labeled at negative four thirds. Point C is labeled at negative three fourths. Point D is labeled at negative two thirds. Point E is labeled at two thirds. Point F is labeled at three fourths. Point G is labeled at four thirds. Point H is labeled at three halves.
Which of the following is true about opposite numbers?
Point B and Point C are opposite rational numbers because they are the reciprocal of each other.
Point B and Point F are opposite rational numbers because they are the opposite reciprocals of each other.
Point B and Point E are opposite rational numbers because Point B is farther away from zero than Point E.
Point B and Point G are opposite rational numbers because they are the same distance away from zero.
The option that is true about opposite numbers is; Option D: Point B and Point G are opposite rational numbers because they are the same distance away from zero.
What are the Opposite Numbers?Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides, or in opposite directions.
We are given the points on the number line as;
A = -3/2
B = -4/3
C = -3/4
D = -2/3
E = 2/3
F = 3/4
G = 4/3
From the above, we can tell that;
Points B and G are opposite numbers
Points C and F are opposite numbers
Points D and E are opposite numbers
Looking at the given options, the only correct one is; Option D: Point B and Point G are opposite rational numbers because they are the same distance away from zero.
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Question below 100 points
The statements that are also valid based on the proportion are given as follows:
(m/p) = (n/q).(n/m) = (q/p).(q/n) = (p/m).How to obtain the valid statements?
The proportion for this problem is given as follows:
(m/n) = (p/q).
Applying cross multiplication, the proportion can also be written as follows:
mq = pn.
Then each statement in which the application of cross multiplication results in this product is valid.
Thus the third, fourth, and fifth options are the correct options, as the application of the cross multiplication for each of them results in the expression mq = pn.
For the first, second and sixth statements, they are not valid, as the application of cross multiplication would result in a different expression to mq = pn.
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Find the equation of the line shown.
Answer:
Step-by-step explanation:
y = mx +[tex]y_{0}[/tex]
y = 1/1 x + 1 = x +1
HELP!! WILL GIVE BRAINIEST WHO ANSWERS CORRECTLY
you are standing near a street lamp that is 12 feet tall. suppose you are 5.5ft tall and your shadow casted on the ground is 10 ft long. how far are you standing from the lamp post?
Using proportions, it is found that you are standing 31.8 ft from the lamp post.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, when the measures have a degree of proportionality among them, using operations such as multiplication or division.
For this problem, the procedure is relatively simple, as we just find the proportional relationship between the the heights and shadows, and apply a rule of three to find the desired measure.
For this problem, we have that the heights and shadows are related as follows:
Height of 5.5 ft, shadow of 10 ft.Height of 12 ft, distance of d - 10, due to the shadow.Hence the following proportional equation is built:
5.5/10 = 12/(d - 10)
0.55 = 12/(d - 10).
Applying cross multiplication, we can solve for d as follows:
0.55d - 5.5 = 12
0.55d = 17.5.
d = 17.5/0.55
d = 31.8.
You are standing 31.8 ft from the lamp post.
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what is
9 divided by 2113
Geneva treated her parents to dinner at their favorite restaurant. The bill was $77.25. She wants to leave 16% of the total bill as a tip. How much should the tip be, in dollars?
Answer:
Step-by-step explanation:
Given that;
Amount paid for dinner = $74.25
Percentage of tip = 16% = 0.16
Find: Amount of tip
Computation: Amount of tip = (Amount paid for dinner)(Percentage of tip)
Amount of tip = (74.25)(0.16)
Amount of tip = $11.88
HELP I ONLY HAVE 1 MORE CHANCE TO DO THIS PLEASE!!!
Hello and Good Morning/Afternoon:
The table shows a linear function:
[tex]\hookrightarrow \text{This means that the slope is consistent between all the points}\\[/tex]
Thus we can use any point to help us find our slope:
[tex]\hookrightarrow \text{let's pick two points}[/tex]
(x₁, y₁) = (2,7)(x₂,y₂) = (5,16)[tex]\hookrightarrow \text{Slope} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{16-7}{5-2} =\dfrac{9}{3} =3[/tex]
Answer: 3
Hope that helps!
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A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. A student answered 5 questions incorrectly. How many points did the student lose?
The points did the student lose is 15.
20 questions make up a test. If the response is accurate, the test provides 3 points, and if it is erroneous, 1 point is deducted. A student gave wrong answers to five questions.
To toal number of question = 20
Points for 20 question = 20 × 3
= 60
( because 3 points for 1 correct answer and 1 point for 1 incorrect answers )
So, the number of incorrect questions = 5
Points for 5 questions = 5 × 1
=5
A student attempt correct question = 20 - 5 = 15
Points for 15 questions = 15 × 3
=45
The students lose points = 60 - 45
= 15
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I need help with the question in this photo
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal
In a class of 50 students, on average, 10 will be left-handed. If a class includes 15 "lefties", estimate how many students are in the class.
The class has approximately students.
Answer: approximately 75
Step-by-step explanation: We know that 10 is 1/5 of 50, so I multiplied 15 x 5 and got 75.
how do i find the range of this?? (pt 2)
The range for the given domain is represented by set {-9,-7,-5,-3,-1} or the interval [-9,-1] .
Domain and RangeThe domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
The question gives:
equation: y=2x-5domain: {-2,-1,0,1,2}You should find the values of y for each value of x in the domain. Thus
For x=-2y=2*(-2)-5=-4-5= -9
For x=-1y=2*(-1)-5=-2-5= -7
For x=0y=2*(0)-5=0-5= -5
For x=1y=2*(1)-5=2-5= -3
For x=2y=2*(2)-5=4-5= -1
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factor 6a^3-18ab please show work
Answer:
The given expression is
We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.
Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.
Now let's group terms which have the same variables.
We can see that there are two groups:
Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.
If we put the groups back together into the expression,
We can see that . So (D) is the answer. Hope this helped.
Step-by-step explanation:
6a(a^2 −3b)
Step-by-step explanation:6a^3 −18ab
Factor out 6.
6(a^3 −3ab)
Consider a^3 −3ab. Factor out a.
a(a^2 −3b)
Rewrite the complete factored expression.
6a(a^2 −3b)
The flow rate of a hose, found by dividing the volume of water that leaves the hose in cubic yards during a period of time measured in seconds
The flow rate of the hose calculated mathematically is 0.0127425 m³/s.
What is defined as the flow rate?The amount of water which flows through a pipe per unit time is measured as its flow rate. It is typically calculated by dividing the volume of water by the total time it requires to flow. A pipe's flow rate is typically assessed in meters cubes per second as well as litres per second.The flow rate of a pipe is determined by dividing this same volume of water leaving the pipe in cubic yards by the time in hours.
unit = cubic yard/ hours
The mathematical units are as follows:
1 cubic yard equals 0.764555 cubic meter.
The units in meters cubes per second are calculated as follows:
unit = 0.764555 cubic meter/60 seconds
unit = 0.0127425 cubic meter/ seconds
or, 0.0127425 m³/s
Thus, the flow rate is calculated mathematically is 0.0127425 m³/s.
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The complete question is-
The flow rate of a pipe, found by dividing the volume of water that leaves the pipe in cubic yards during a period of time measured in hours. What are the units mathematically?
An investor wants to save money to purchase real estate. She buys an annuity with monthly payments that earn 5.3% interest, compounded monthly. Payments will be made at the end of each month. Find the total value of the annuity in 16 years if each monthly payment is $59
Answer:
I'm sa today because I stepped on my dog
(5+9)+3+6(4+5)+6+9(4-3)
Answer:
86
Step-by-step explanation:
We calculate the ones in the brackets, then multiply or divide and lastly add and minus
(5+9)+3+6(4+5)+6+9(4-3)
= 14+3+6x9+6+9x1
= 14+3+54+6+9
= 86
Answer: i think 86....
Find the equation of the line passing through (0.5, 5) and parallel to the line 4x - 2y = 11
The equation of the line is y = 2x + 4.
Here, we are given that a line passes through point (0.5, 5) and parallel to the line 4x - 2y = 11.
Now, two lines that are parallel to each other will have the same slope.
Therefore, let us first find the slope of line 4x - 2y = 11.
Let us convert the equation to y = mx + c form where m is the slope and c is the y intercept.
4x - 2y = 11
4x - 11 = 2y
2y = 4x -11
y = 4x/2 - 11/2
y = 2x - 11/2
Thus, the slope of line 4x - 2y = 11 is 2
Hence, the slope of the line parallel to it will also be 2.
Now, the equation of a line can be found by the slope intercept form as-
y - y1 = m(x - x1)
here, x1 = 0.5 and y1 = 5
y - 5 = 2( x - 0.5)
y - 5 = 2x - 1
y = 2x - 1 +5
y = 2x + 4
Thus, the equation of the line is y = 2x + 4.
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A random number generator will pick a whole number from 1 to 20 ten times. Predict how many times you think it will pick two numbers that are 8 or less. Explain.
The prediction of the number of times it will pick two numbers that are 8 or less is 4 times
How to predict the number of times it will pick two numbers that are 8 or less?The given parameters are
Sample space = Whole number from 1 to 20Number of trials, n = 10Probability values: Values that are 8 or lessThe sample size of whole number from 1 to 20 is
Sample Size = 20
While the sample size of the probability values that are 8 or less is
Probability Size = 8
So, the probability of selecting a value that is 8 or less is
P = Probability Size/Sample Size
So, we have
P = 8/20
The prediction of the number of times it will pick two numbers that are 8 or less is
Prediction = P * n
So, we have
Prediction = 8/20 * 10
Evaluate the product
Prediction = 4
Hence, the prediction of the number of times it will pick two numbers that are 8 or less is 4 times
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for questions 1-3, the polar coordinates of a point are given. Find the rectangular coordinates of each point. 1. (2,3pi/4)
The rectangular coordinates of each point are (x, y) = (- √2, √2), (x, y) = (2√3, 2) and (x, y) = (- 1 / 3, - √3 / 3).
How to convert polar coordinates into rectangular form
Polar coordinates are of the form (r, θ), where r and θ are the the distance with respect to the origin and the direction in standard position. The coordinates in rectangular form can be described in polar terms by the following formula:
(x, y) = (r · cos θ, r · sin θ)
Now we find the polar coordinates equivalent to each pair of rectangular coordinates:
Case 1
(x, y) = (2 · cos (3π / 4), 2 · sin (3π / 4))
(x, y) = (- √2, √2)
Case 2
(x, y) = (- 4 · cos (7π / 6), - 4 · sin (7π / 6))
(x, y) = (2√3, 2)
Case 3
(x, y) = ((2 / 3) · cos (- 2π / 3), (2 / 3) · sin (- 2π / 3))
(x, y) = (- 1 / 3, - √3 / 3)
RemarkThe statement is incomplete. Complete form is shown below:
For questions 1 - 3, the polar coordinates of a point are given. Find the rectangular coordinates of each point: 1) (2, 3π / 4), 2) (- 4, 7π /6), 3) (2 /3, - 2π / 3).
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What mistake, if any, did she make?
Answer:
She didn't make a mistake. All of her work is correct.
Step-by-step explanation:
12.07 - (0.104 + 132.8)
12.07 - (132.904)
12.07 - 132.904
-120.834
I hope this helps!
2432233455677788889999900000000000000000000000+4656557575775756675676676-1+2=
Anwser:2.4322335e+45Y
Step-by-step explanation:
A certain population demographic may be defined as someone 45 and older, but less than 51 years of age
Answer:
45 > 51
Step-by-step explanation:
I need help to find how many terms there are
Answer: Four terms
Step-by-step explanation:
The terms are the "separate values" in the problem. For this question, we have four terms.
Our terms are;
[1] x³
[2] + 5x²
[3] + 2x
[4] + 7
n^2- 5n- 4
when n=-3
Answer: 2
Step-by-step explanation:
[tex] \large{\tt {n}^{2} - 5n - 4} \\ \large{\tt = { - 3}^{2} - 5( - 3) - 4 } \\\large{ \tt = - 9 + 15 - 4 }\\ \large{\tt = 6 - 4} \\ \large{ \red{\boxed{ \tt = 2 }}}{ \large \green ✓ }[/tex]
[tex] \: [/tex]
hope helps:')