Answer:
the sun and the dream
Step-by-step explanation:
because in dreams you can see the sun
If you drive 565 miles a day, how far will you have gone at the end of a week?
Determine the dimensions of Nul A and Col A for the matrix shown below. A = [1 0 0 0 4 0 0 0 -5 1 0 0 2 -4 1 0 -4 -3 -3 0 6 -1 -4 0 -1 -6 6 0] The dimension of Nul A is and the dimension of col A is
The dimension of Nul A = 0 and the dimension of Col A = 4. means that the matrix A has no solutions for the homogeneous equation A × x = 0, which means that its null space is trivial, and it has 4 linearly independent columns, which means that its column space is 4-dimensional.
In other words, it is the number of linearly independent vectors x that satisfy the equation Ax = 0.
The dimension of Col A, also known as the column space of the matrix A, is the dimension of the subspace spanned by the columns of the matrix A. In other words, it is the number of linearly independent columns of matrix A.
In general, it is not possible to determine the dimensions of Nul A and Col A of a matrix just by looking at its elements. In order to find the dimensions, we need to perform the row echelon form or reduced row echelon form of the matrix to find the rank and the nullity which is the difference in the number of columns and rank.
For the specific matrix A provided, the rank of the matrix is not provided, thus we can not determine the dimension of the Nul A and Col A.
To learn more about the matrix at
https://brainly.com/question/17081673?referrer=searchResults
#SPJ4
a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.
The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.
To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.
The coordinates of the image point L' will be:
L' = (-4 × 7, 0 × 7) = (-28, 0)
Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
for such more question dilation
https://brainly.com/question/4526933
#SPJ11
Find the area of the shaded region:
Answer:
34560
Step-by-step explanation:
You have to multiply to get your answer
Hope I'm right...
Hope this helps plz like and brainly :D
It costs Camp, Inc. $38 per unit to manufacture 1,000 units per month of a product that it can sell for $54 each. Alternatively, Camp could process the units further into a more complex product, which would cost an additional $33 per unit. Camp could sell the more complex product for $81 each. How would processing the product further affect Camp's profit?
Further processing of the product will lead to a decrease Camp in profit by $6,000.
What is profit?Profit is the money left with a company after paying for business expenses from the question;
In the first scenarioWe calculate the profit as;So, Profit in current = 1,000 units × ( $54 - $38)= $16,000In the second scenario;
If we process further, than the profit will be as follows:
Profit after processing = 1,000 units × ( $81 - ( $38 + $33))
= 1,000 units × ( $81 - $71)= $10,000
So, Change in profit = $10,000 - $16,000 = -$6,000 (negative shows decrease)So, Further processing will decrease profit by $6,000.
Learn more about profit on:
https://brainly.com/question/1078746
#SPJ1
Suppose one-seventh of a certain company's sales are made in New England. If New England sales amount to $800,000, what are the total sales (in dollars) of the company?
Answer:
1,039,000
Step-by-step explanation:
The total sales of the company are $5,600,000.
If one-seventh of the company's sales are made in New England, we can set up the following equation:
New England Sales = (1/7) * Total Sales
Given that New England sales amount to $800,000, we can plug this value into the equation:
$800,000 = (1/7) * Total Sales
To find the total sales (in dollars) of the company, we can rearrange the equation to solve for Total Sales:
Total Sales = $800,000 * 7
Total Sales = $5,600,000
Therefore, the total sales of the company are $5,600,000.
To know more about company:
https://brainly.com/question/31783642
#SPJ2
what times 2/3 is -8?
well, is really "x", now
\(x\left( \cfrac{2}{3}\right)~~ = ~~-8\implies \cfrac{2x}{3}=-8\implies 2x=-24\implies x=-\cfrac{24}{2}\implies x=-12\)
Sally was driving her own car and collided with a pick-up truck. Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries. If her coverage was 100/300/50, what are the total medical expenses the insurance company would pay for this accident?
The insurance company would pay a total of $101,000 for the medical expenses resulting from the accident.
In this scenario, Sally's car insurance policy has coverage limits of 100/300/50. These numbers represent the maximum amount the insurance company will pay for different types of damages in an accident. Let's break down what these numbers mean in the context of the collision.
The first number, 100, represents the maximum amount (in thousands of dollars) that Sally's insurance company will pay for bodily injury per person. Since Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries, the insurance company will cover Sally's medical expenses up to the policy limit, which is $100,000.
The second number, 300, represents the maximum amount (in thousands of dollars) the insurance company will pay for bodily injury per accident. In this case, both Sally and her passenger were injured, so the insurance company will cover their combined medical expenses up to the policy limit, which is $300,000.
The third number, 50, represents the maximum amount (in thousands of dollars) the insurance company will pay for property damage per accident. However, since the question only mentions injuries and not property damage, we can disregard this number for now.
Therefore, the total medical expenses the insurance company would pay for this accident would be $100,000 for Sally's injuries and $1,000 for her passenger's injuries, totaling $101,000.
To learn more about insurance
https://brainly.com/question/989103
#SPJ8
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
How can I solve this? Thank you in advance!!
One number is randomly selected from {1, 2, 3, 4, 5, 6, 7, 8, 9}. Find the probability that the selected number is an odd number or a multiple of 3.
Answer:
The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.
The maximum grain yield for corn is achieved by planting at a density of 37,000 plants per
acre. A farmer wants to maximize the yield for the field represented on the coordinate grid.
Each unit on the coordinate grid represents one foot. How many corn plants, to the nearest
thousand, does the farmer need? (Hint: 1 acrt = 43,560 ft?)
у
500 fx
E
F
X
-500
0
500
G
-500
H
The farmer needs approximately
corn plants.
According to the question, there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants
Determining the area of a trapezium?The trapezium is a 2 -dimensional plane shape with the area calculated as shown below:
The formula for calculating the area of a trapezoid is expressed as:
Area = 0.5(a + b)h
Given the following parameters
a = 500 ftSubstitute the given parameters
Area = 1/2 (500 + 900) * 800
Area = 1/2 (1400) * 800
Area = 560000 square feet
Since 1 acre is equivalent to 43560 square feet, hence the total acre required is expressed as:
Total acre = 560000/43560
Total acre = 12.856 acres
Also since there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants
Learn more on area of trapezoid here: https://brainly.com/question/1463152
Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
what number is 22 more than another. Their product is -121. Find the numbers by solving the equation
Answer:
what is the answers
Step-by-step explanation:
Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function h(t)=-5t^2+2t+39
Will the ball reach height of 41 meters. What is the discriminate?
Please help me, please
Answer:
The ball will not reach a height of 41 meters.
The discriminate is 784
Step-by-step explanation:
You know that the height h of the ball, in meters, at time t seconds is modeled by the function h(t) = - 5*t² + 2*t + 39
To find out if the ball will reach a height of 41 meters, you must calculate the maximum of the function, that is, the highest or highest point on the graph. That is, the maximum in a function f is the largest value that the function takes.
The vertex is a point that is part of the parabola, which has as its ordinate the maximum value (as in this case) or minimum value of the function. That is, the vertex is the maximum of the function (as in this case) or minimum.
In this case, the maximum of t is obtained by:
\(t=\frac{-b}{2*a}\)
Being a=-5 and b=2 (comparing with a quadratic function of the form: f(x)=a*x² + b*x +c)
\(t=\frac{-2}{2*(-5)}\)
t= 0.2
The maximum height value must be obtained by substituting the previously calculated value of t in the function:
h(0.2) = - 5*0.2² + 2*0.2 + 39
h(0.2)=39.2
So the maximum height the ball will reach is 39.2 meters. The ball will not reach a height of 41 meters.
The discriminate of a quadratic function is:
Δ=b²-4*a*c
In this case, being a=-5, b=2 and c=39, the discriminate is:
Δ=2²-4*(-5)*39
Δ= 4+780
Δ= 784
The discriminate is 784
The first derivative test is the process of analyzing functions using their first derivatives in order to find their extreme point.
No, ball can not reach at height of 41 meters.
Since, The height h of the ball, in meters, at time t seconds is modeled by the function \(h(t)=-5t^2+2t+39\)
To find maximum height where can ball reach. We use first and second derivative test.
\(h(t)=-5t^2+2t+39\\\\\frac{dh}{dt}=-10t+2\)
Now, equate above derivative to zero.
\(-10t+2=0\\\\t=1/5\)
Now, find second derivative
\(\frac{d^{2}h }{dt^{2} } =-10\) , Which is less than zero.
Therefore, at t= 1/5 second , will give maximum height that can ball reach.
So, h(1/5) = 39.2 meters.
That is, ball can reach at 39.2 meters.
Learn more:
https://brainly.com/question/16944025
Use four of the eight image tiles below to graph the solution to this inequality on the number line. Be sure to cover the entire number line.
To represent an inequality on a number line, such as x>3, first draw a circle around the number. Fill in the circle if the sign also says equal to (or ).
How do you graph an inequality's solution on a number line?To represent an inequality on a number line, such as x>3, first draw a circle around the number.Fill in the circle if the sign also says equal to (or ).Leave the circle blank if the sign doesn't include equal to (> or ).Equation notation, set notation, interval notation, and solution graph are the four ways to display an inequality.Always begin by separating the variable y from the inequality's left side.Step 2: Replace the inequality symbol with the equality symbol.Step 3: In the X, Y, XY, XY plane, graph the boundary line from step 2.The final step is to shade a portion or one side of the boundary line.To learn more about Graphing Linear Inequalities refer to:
https://brainly.com/question/371134
#SPJ1
Can someone help me || = -10 ?
Answer:
its impossible for x to be -10 because absolute values are always positive
Answer:
it can't be true because an absolute value can not be negative if there is not a negative sign on the outside of the absolute value signs.
Step-by-step explanation:
to make the expression true
-l x l = -10
the expression should be
l x l = 10
hope this helps
when 3a^2-2a+5 is subtracted from a^2+a-1 the result is
How can you use the double number line diagram to find what percent 120 is of 150?
Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.
To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.
On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.
This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.
To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.
To learn more about : percentage
https://brainly.com/question/24877689
#SPJ8
Find the values of x and y. Round to the nearest tenth.
Answer:
21) x = 22.9, y = 38.4
22) x = 14.0, y = 98.0
Step-by-step explanation:
Question 21As the interior angles of a triangle sum to 180°, the measure of the third angle of the given triangle is 100°.
\(\implies 180^{\circ}-52^{\circ}-28^{\circ}=100^{\circ}\)
As we know all interior angles and the length of one side of the triangle, we can use the Law of Sines to find the the values of x and y.
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines (sides)} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
From inspection of the given triangle:
Angle 28° is opposite the side labelled x.Angle 52° is opposite the side labelled y.Angle 100° is opposite the side labelled 48.Substitute these values into the Law of Sines formula:
\(\dfrac{x}{\sin 28^{\circ}}=\dfrac{y}{\sin 52^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)
Solve for x:
\(\implies \dfrac{x}{\sin 28^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)
\(\implies x=\dfrac{48\sin 28^{\circ}}{\sin 100^{\circ}}\)
\(\implies x=22.882268...\)
\(\implies x=22.9\; \sf (nearest\;tenth)\)
Solve for y:
\(\implies \dfrac{y}{\sin 52^{\circ}}=\dfrac{48}{\sin 100^{\circ}}\)
\(\implies y=\dfrac{48\sin 52^{\circ}}{\sin 100^{\circ}}\)
\(\implies y=38.408020...\)
\(\implies y=38.4\; \sf(nearest\;tenth)\)
Therefore, the values of x and y (rounded to the nearest tenth) are:
x = 22.9y = 38.4\(\hrulefill\)
Question 22As we know the lengths of two sides of the triangle and their included angle, we can use the Cosine Rule to find the measure of side x.
\(\boxed{\begin{minipage}{6 cm}\underline{Cosine Rule} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)
From inspection of the given triangle:
a = 11b = 19c = xC = 47°Substitute these values into the Cosine Rule and solve for x:
\(\implies x^2=11^2+19^2-2(11)(19)\cos 47^{\circ}\)
\(\implies x^2=482-418\cos 47^{\circ}\)
\(\implies x=\sqrt{482-418\cos 47^{\circ}}\)
\(\implies x=14.0329856...\)
\(\implies x=14.0\; \sf (nearest\;tenth)\)
Now use the Law of Sines to calculate angle y.
As angle y is obtuse, and the sine of an obtuse angle is the same as the sine of its supplement, then:
\(\implies \dfrac{x}{\sin 47^{\circ}}=\dfrac{19}{\sin (180-y)^{\circ}}\)
Rearrange the equation to isolate y:
\(\implies \sin (180-y)^{\circ}=\dfrac{19\sin 47^{\circ}}{x}\)
\(\implies (180-y)^{\circ}=\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{x}\right)\)
\(\implies y^{\circ}=180^{\circ}-\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{x}\right)\)
Substitute the found value of x and evaluate:
\(\implies y^{\circ}=180^{\circ}-\sin^{-1}\left(\dfrac{19\sin 47^{\circ}}{14.0329856...}\right)\)
\(\implies y^{\circ}=180^{\circ}-81.9795708...^{\circ}\)
\(\implies y^{\circ}=98.020429...^{\circ}\)
\(\implies y=98.0\; \sf (nearest\;tenth)\)
Therefore, the values of x and y (rounded to the nearest tenth) are:
x = 14.0y = 98.0Help please with this question
Answer:
(2,6)
Step-by-step explanation:
If you look at where the red and blue like meet, we can see that it's on (2,6). 2 is the x value, and 6 is the y value.
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 28 N acts on a certain
object, the acceleration of the object is 7 m/s². If the acceleration of the object becomes 3 m/s2, what is the force?
Answer:
Step-by-step explanation:
F=ma
28=7m
m=28/7=4
F=4a
when a=3 m/s²
F=4×3=12 N
Lucas and Erick are factoring the polynomial 12x3 – 6x2 + 8x – 4. Lucas groups the polynomial (12x3 + 8x) + (–6x2 – 4) to factor. Erick groups the polynomial (12x3 – 6x2) + (8x – 4) to factor. Who correctly grouped the terms to factor? Explain.
Answer:
Lucas groups the polynomial (12x^3 + 8x) + (–6x^2 – 4) to factor → 2 (2 x - 1) (3 x^2 + 2)
Step-by-step explanation:
Factor the following:
12 x^3 - 6 x^2 + 8 x - 4
Hint: | Factor out the greatest common divisor of the coefficients of 12 x^3 - 6 x^2 + 8 x - 4.
Factor 2 out of 12 x^3 - 6 x^2 + 8 x - 4:
2 (6 x^3 - 3 x^2 + 4 x - 2)
Hint: | Factor pairs of terms in 6 x^3 - 3 x^2 + 4 x - 2 by grouping.
Factor terms by grouping. 6 x^3 - 3 x^2 + 4 x - 2 = (6 x^3 - 3 x^2) + (4 x - 2) = 3 x^2 (2 x - 1) + 2 (2 x - 1):
2 3 x^2 (2 x - 1) + 2 (2 x - 1)
Hint: | Factor common terms from 3 x^2 (2 x - 1) + 2 (2 x - 1).
Factor 2 x - 1 from 3 x^2 (2 x - 1) + 2 (2 x - 1):
Answer: 2 (2 x - 1) (3 x^2 + 2)
Answer:
Both students are correct because polynomials can be grouped in different ways to factor. Both ways result in a common binomial factor between the groups. Using the distributive property , this common binomial term can be factored out. Each grouping results in the same two binomial factors.
Step-by-step explanation:
this is the sample response provided by edge
The number of yards Y is equal to the number of feet F divided by 3 find formula and graph it
Respuesta:
Si el número de yardas (Y) es igual al número de pies (F) dividido por 3, entonces podemos establecer la siguiente ecuación:
\(Y=\frac{F}{3}\text{.}\)La gráfica de esta ecuación es una linea recta con pendiente 1/3 y que pasa por el origen, como sigue:
Simin learns she did poorly on her science exam. Feeling sad, she purchases
several new pieces of clothing online. When the packages arrive, she can't
remember why she even ordered them. This is an example of:
Simin's behavior is an example of buying for the wrong reason.
What motivated Simin to buy clothes?Simin's main motivation was the fact she did poorly on her exam and due to this, she decides to buy clothes to "feel better".
What does this behavior show?Simin's behavior shows impulsiveness when deciding how to use money or what to buy. Indeed, Simin's reason to buy the clothes is not the best because it is based on emotions rather than on logic. Based on this, Simin's actions are an example of buying for the wrong reason.
Note: This question is incomplete because the options are not provided. Here are the options:
A. Using credit wisely.
B. Trying to impress her friends.
C. Buying for the wrong reason.
D. Being forgetful.
Learn more about behavior in: https://brainly.com/question/9152289
Janelle can paint 4/5 of a picture in 2/7 of an hour how many can she pain in a full hour
Answer:
2 4/5 pictures
Step-by-step explanation:
We can use a ratio to solve
4/5 picture x picture
-------------- = -------------
2/7 hour 1 hour
Using cross products
4/5*1 = 2/7x
Multiply each side by 7/2
4/5 * 7/2 = 7/2 * 2/7 x
28/10 =x
2 8/10=x
2 4/5
1. Olivia and Brandon take a road trip that is 1, 792 miles. The odometer reading on their car when they start out is
58, 236 miles. After one day, the odometer reading is 58, 857 miles. How many miles do they have left before they
reach their destination?
1,351 miles
1,171 miles
Answer:
1,171 miles
Step-by-step explanation:
The trip is 1792 miles.
They have driven (58857 - 58236) miles of the trip so far (because the odometer change is equal to the distance driven).
(58857 - 58236) = 621
They still need to drive 1792 - 621 miles
1792 - 621 = 1171
So they have 1171 miles left until they complete the trip.
What is the range of possible sizes for side x? Please help!
Answer:
x is smaller than 5.6 and greater than 0
omplete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P.
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).
Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.
Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.
With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.
This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.
To learn more about : perpendicular
https://brainly.com/question/28063031
#SPJ8
Suppose we are planning a credit card usage survey similar to the one described in example 2. The population standard deviation is $3500. What would the survey look like?
The survey would also ask the respondent to provide an estimate of their total credit card spending in the past 12 months.
The survey would ask questions about the respondent's credit card usage, such as how often they use credit cards, what types of purchases they make with credit cards, how much they spend on average each month, and any other related questions.
The survey would also ask the respondent to provide an estimate of their total credit card spending in the past 12 months. The survey should also include a margin of error of +/- $3500 to ensure the accuracy of the results.
For more questions like Survey click the link below:
https://brainly.com/question/5333190
#SPJ4
find the exact value of x. 45 degree and 10 side
Answer:
The exact value of the other leg is 10.
Step-by-step explanation:
Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.
Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.
Substituting known values, we get:
(10√2)^2 = 10^2 + b^2
200 = 100 + b^2
b^2 = 100
b = 10
Therefore, the exact value of the other leg is 10.