The ratio of the surface areas to cube A to cube B is 12 : 7 .
What is known as a cube?
Six faces, eight vertices, and twelve edges make up the three-dimensional shape of a cube. An example of a prism in particular is a cube. These are the calculations for the volume of the cube formula: Amount = (side) 3.
The cube's face's diagonal length is equal to 2. (edge) Cube's cube's diagonal length is three (edge) 12 is the perimeter (edge). Each number multiplied by itself is a square number. The squared sign is (insert square symbol). Up to the number 100, the square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100. A number multiplied by itself three times is a cube number.
The ratio of the volumes of cube A to cube B is = 1728 : 343
= 12 : 7
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Here is another triangle similar to DEF.
•What is the scale factor from triangle DEF to triangle D”E”F”?
• What are the coordinates of F”?
•What are cos(D”), sin(D”), and tan(D”)
(Triangle DEF has coordinates D(0,0) E(12,0) F(12,5)
And pictured is triangle D”E”F”
The scale factor from triangle DEF to triangle D”E”F” is the ratio of the corresponding sides in the two triangles.
The coordinates of F” can be calculated using the scale factor.
The value of cos(D”) would be equal to 0.707. Similarly, the value of sin(D”) would be 0.707 and the value of tan(D”) would be 1.
What is a scale factor?Scale factor is a number which is used to describe the relationship between two objects or two measurements. It is used to compare two objects of different sizes in order to calculate the ratio of their size. It is also used to express a proportional relationship between two different measurements, such as their lengths, widths, heights or angles.
The corresponding sides are DE and D”E”, and EF and E”F”. We can calculate the ratio of the two sides by dividing the lengths of the two corresponding sides. For example, the ratio of DE to D”E” would be 12/16. We can do this for all three corresponding sides, and then take the average of the three ratios to get the scale factor from triangle DEF to triangle D”E”F”.
Since we know that the coordinates of F are (12,5), we can multiply the x-coordinate (12) by the scale factor and the y-coordinate (5) by the scale factor to get the coordinates of F”.
The angle D” can be used to calculate the values of cos(D”), sin(D”), and tan(D”). Since we know the angle D”, we can use the trigonometric functions to calculate the values of the trigonometric functions for that angle. For example, if the angle D” is 45 degrees, then the value of cos(D”) would be equal to 0.707. Similarly, the value of sin(D”) would be 0.707 and the value of tan(D”) would be 1.
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Mathe question 2 help
Answer:
Option B
See below
Step-by-step explanation:
Two simultaneous equations:
[tex]7x - 4y - 8 = 0[/tex] —————- (equation i)
[tex]2x^{2} + x + 4y + 8 = 0[/tex] ——- (equation ii)
Step 1:
Rearrange (equation i):
[tex]7x - 4y = 8[/tex] ———- updated (equation i)
Step 2:
Substitute the updated (equation i) into (equation ii) and bring like terms together to simplify them in reduced forms:
[tex]2x^{2} + x + 4y + (7x - 4y) = 0[/tex]
[tex]2x^{2} + x + 4y + 7x - 4y = 0[/tex]
[tex]2x^{2} + x + 7x + 4y - 4y = 0[/tex]
[tex]2x^{2} + 8x = 0[/tex]
Step 3:
Factorize:
[tex]2x(x + 4) = 0[/tex]
Either [tex]2x = 0[/tex]
∴ [tex]x = 0[/tex]
Or [tex]x + 4 = 0[/tex]
∴ [tex]x = -4[/tex]
Step 4:
Substitute these values of x in (equation ii) to determine their corresponding values of y:
For x = 0:
[tex]2(0)^{2} + 0 + 4y + 8 = 0[/tex]
[tex]4y + 8 = 0[/tex]
[tex]4y = -8[/tex]
[tex]y = \frac{8}{-4}[/tex]
∴[tex]y = -2[/tex]
For x = -4:
[tex]2(-4)^{2} + (-4) +4y + 8 = 0[/tex]
[tex]2(16) - 4 + 4y + 8 = 0[/tex]
[tex]32 - 4 + 4y + 8 = 0[/tex]
[tex]32 - 4 + 8 + 4y = 0[/tex]
[tex]36 + 4y = 0[/tex]
[tex]4y = -36[/tex]
[tex]y = \frac{-36}{4}[/tex]
∴ [tex]y = -9[/tex]
∴The values of y are [tex]-2[/tex] and [tex]-9[/tex]
∴Option B
Find the number if 3.5% of its 21
Answer:
To find 3.5% of 21, we can convert 3.5% to a decimal by dividing by 100:
3.5% = 3.5/100 = 0.035
Then, we can multiply 0.035 by 21 to find the answer:
0.035 * 21 = 0.735
Therefore, 3.5% of 21 is 0.735.
0.735
because o.31 percent of 21 is 0.735
Question 19 (4 Points) Saving. Enter A Whole Number. If You Are "Charged" 3¢ For Each Use Of A Straightedge And 5¢ For Each Use Of A Compass, Performing The Cheapest) Straightedge And Compass Construction Of Two Perpendicular Straight Lines Will Cost You
A/ Any Time You Must Move The Straightedge Or Compass, You Incur A New Charge.
The cheapest straightedge and compass construction of two perpendicular straight lines will cost you 11¢. This is because each use of the straightedge costs 3¢, and each use of the compass costs 5¢. Therefore, it takes three uses of the straightedge (3 x 3¢ = 9¢) and two uses of the compass (2 x 5¢ = 10¢) to create the two perpendicular straight lines, for a total of 11¢. So it will cost you 11¢
To create the perpendicular lines, first move the straightedge to create a line segment with one endpoint at the origin. Next, place the compass at one endpoint of the line segment and draw an arc with the desired radius, cutting the line segment at another point. Then, repeat this process with the straightedge and compass, but with the compass at the new endpoint and draw a perpendicular arc, intersecting the original arc. This will create the two perpendicular lines.
Each time you move the straightedge or compass, you incur a new charge. As outlined above, it will take three moves of the straightedge and two moves of the compass, for a total of five moves and a cost of 11¢.
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A) change the rectangular coordinates (-5V3, 5) to-polar coordinats with Give exact values ( No decíals) pls .. Show work B) Given a= (-5,2) b=<4-7> bind the following: Give exact values1/4 show work a. 3a-4b
A) To change the rectangular coordinates (-5√3, 5) to polar coordinates, we need to find the radius r and the angle θ.
The radius r can be found using the Pythagorean theorem:
r = √(x^2 + y^2)
r = √((-5√3)^2 + (5)^2)
r = √(75 + 25)
r = √100
r = 10
The angle θ can be found using the inverse tangent function:
θ = tan^(-1)(y/x)
θ = tan^(-1)(5/(-5√3))
θ = tan^(-1)(-√3/3)
θ = -π/6
So, the polar coordinates are (10, -π/6).
B) Given a = (-5, 2) and b = <4, -7>, we need to find 3a - 4b.
3a = 3(-5, 2) = (-15, 6)
4b = 4(4, -7) = (16, -28)
3a - 4b = (-15, 6) - (16, -28) = (-15 - 16, 6 - (-28)) = (-31, 34)
So, the answer is (-31, 34).
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-3y=2x-7
graphing linear equations in 2 variables
By solving the given equation, we can plot these two points on a coordinate plane, and then connect the points with a line. The formed line is the graph of the linear equation 3y=2x-7.
What is a coordinate plane?The coordinate plane is made up of two perpendicular lines called the x-axis and the y-axis. The x-axis, which is horizontal, is used to measure the distance of a point from the left and right side of the plane. The y-axis, which is vertical, is used to measure the distance of a point from the top and bottom of the plane.
To graph the equation 3y=2x-7, we first need to identify two points that satisfy the equation. We can do this by plugging in different values for x and solving for y. For example, when x=0, the equation becomes 3y=-7. Thus, one point that satisfies the equation is (0,-7). We can find a second point by plugging in a different value for x. For example, when x=2, the equation becomes 3y=-3. Thus, the second point that satisfies the equation is (2,-3).
Now, we can plot these two points on a coordinate plane, and then connect the points with a line. The formed line is the graph of the linear equation 3y=2x-7.
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3. Letfbe a differentiable function of one variable, andw=f(ex+2xy). (a) Verify that the functionwsatisfies the equation(ex+2y)wy−2xwx=0. (b) Iff(u)=cosu, calculatewxy. 4. Consider the functionf(P,t)=f(x(t),y(t),z(t),t)=t(ysinx+ez)and the pointP=(π,1,0). Find the material derivative offatP
3 a. The function w satisfies the equation (ex+2y)wy−2xwx=0.
3 b. The value of wxy is -2x(ex+2y)cos(ex+2xy) - 2ysin(ex+2xy)
4 . The material derivative of fatP is 0.
3. (a) To verify that the function w satisfies the equation (ex+2y)wy−2xwx=0, we can take the partial derivatives of w with respect to x and y, and then substitute them into the equation.
First, let's find the partial derivatives of w:
∂w/∂x = f'(ex+2xy)(ex+2y)
∂w/∂y = f'(ex+2xy)(2x)
Now, we can substitute these partial derivatives into the equation:
(ex+2y)(f'(ex+2xy)(2x)) - 2x(f'(ex+2xy)(ex+2y)) = 0
Simplifying this equation, we get:
2exf'(ex+2xy) + 4xyf'(ex+2xy) - 2exf'(ex+2xy) - 4xyf'(ex+2xy) = 0
This simplifies to 0 = 0, which is true. Therefore, the function w satisfies the equation (ex+2y)wy−2xwx=0.
(b) If f(u) = cosu, then we can find wxy by taking the partial derivative of w with respect to x and y, and then substituting f(u) = cosu:
∂w/∂x = f'(ex+2xy)(ex+2y) = -sin(ex+2xy)(ex+2y)
∂w/∂y = f'(ex+2xy)(2x) = -sin(ex+2xy)(2x)
Now, we can find wxy by taking the partial derivative of ∂w/∂x with respect to y:
wxy = ∂(∂w/∂x)/∂y = ∂(-sin(ex+2xy)(ex+2y))/∂y = -2x(ex+2y)cos(ex+2xy) - 2ysin(ex+2xy)
4. To find the material derivative of fatP, we can use the formula:
Df/Dt = ∂f/∂t + ∂f/∂x(dx/dt) + ∂f/∂y(dy/dt) + ∂f/∂z(dz/dt)
First, let's find the partial derivatives of f:
∂f/∂t = ysinx + ez
∂f/∂x = ty*cosx
∂f/∂y = tsinx
∂f/∂z = tez
Now, we can find the material derivative of fatP by substituting the point P = (π,1,0) and the derivatives of x, y, and z with respect to t:
Df/Dt = (1*sinπ + e^0) + (π*1*cosπ)(dx/dt) + (π*sinπ)(dy/dt) + (π*e^0)(dz/dt) = 0 + 0 + 0 + 0 = 0
Therefore, the material derivative of fatP is 0.
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if three times a number is increased by 4 the result is -8
Answer:
-4
Step-by-step explanation:
3x + 4 = -8
3x = -8 -4
3x = -12 /3
x = -4
pls give simple working out
due in 5 minsss
a) alternate- angle a is 60 degrees
b) corresponding- 75 degrees
c) corresponding- 108 degrees
Math part 3 question 5
The value of (f - g) (3) is 32.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given are two functions, f and g.
f(x) = 3x² and g(x) = x - 8
Subtraction of two functions is defined as,
(f - g) (x) = f(x) - g(x)
= 3x² - (x - 8)
= 3x² - x + 8
To find (f - g)(3), substitute 3 in place of x.
(f - g)(3) = 3(3)² - 3 + 8
= 27 - 3 + 8
= 32
Hence the value of the subtraction of functions is 32.
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Please answer with full solutions and only answer if you know!
Answer:
a) even
b) 4th differences: -72
c) minimum: 0, maximum: 4. This function has 0 real zeros.
d) -1377
e) -288
Step-by-step explanation:
You want to know a number of the characteristics of the function f(x) = -3x⁴ +6x² -10:
whether even or oddwhich finite differences are constantnumber of zerosAROC on [2, 7]IROC at x=3a) Even/OddA function is even if f(x) = f(-x). The graph of an even function is symmetrical about the y-axis. An even polynomial function will only have terms of even degree.
The exponents of the terms of f(x) are 4, 2, 0. These are all even, so we can conclude the function is an even function.
We can also evaluate f(-x):
f(-x) = -3(-x)⁴ +6(-x)² -10 = -3x⁴ +6x² -10 ≡ f(x) . . . . . the function is even
b) Finite differencesWe can look at values of x on either side of x=0. The attachment shows function values and finite differences for x = -3, -2, ..., +3.
The fourth finite differences are constant at -72. (We expect this value to be -3·4!, the leading coefficient times the degree of the polynomial, factorial.)
c) Number of zerosA 4th-degree polynomial will always have exactly four zeros. They may be complex, rather than real. Complex zeros will come in conjugate pairs, so the number of real zeros may be 0, 2, or 4; a minimum of 0 and a maximum of 4.
This polynomial function has no real zeros. The four complex zeros are approximately ...
±1.18864247 ±0.64255033i
d) AROC on [2, 7]The average rate of change on the interval [a, b] is given by ...
AROC = (f(b) -f(a))/(b -a)
For [a, b] = [2, 7], this is ...
AROC = (((-3(7²) +6)7² -10) -((-3(2²) +6)2² -10)/(7 -2)
= ((-147 +6)(49) -(-12 +6)(4)) / 5 = (-6909 +24)/5 = -6885/5 = -1377
The average rate of change on [2, 7] is = -1377.
e) IROC at x=3The derivative of the function is ...
f'(x) = -3(4x³) +6(2x) = 12x(-x² +1)
f'(3) = 12·3(-3² +1) = 36(-8) = -288
The instantaneous rate of change at x=3 is -288.
Can somebody PLEASE help ASAP? I will give brainliest. Show work please!!
The surface area of the cylindrical tube is approximately 240.21 square inches.
What formula do we use to find the surface area of a cylinder?
The surface area of a cylinder is the sum of the areas of all its surfaces, including the curved surface area and the area of its two circular bases. It is a measure of the total area that the cylinder covers.
To find the surface area of a cylinder, we use the formula
[tex]A = 2\pi rh + 2\pi r^2[/tex]
where r is the radius of the base, h is the height of the cylinder, and π is a constant equal to approximately 3.14.
Calculating the surface area of the cylindrical tube -
The base of the tube has a diameter of 3 inches, which means the radius is 1.5 inches. The length of the poster is given as 24 inches, so we will assume that the height of the cylindrical tube is also 24 inches.
Substituting the values we have into the formula, we get:
[tex]A = 2\pi (1.5)(24) + 2\pi (1.5)^2[/tex]
[tex]A = 2\pi (36) + 2\pi (2.25)[/tex]
[tex]A = 72\pi + 4.5\pi[/tex]
[tex]A = 76.5\pi[/tex]
Using the approximation of [tex]\pi = 3.14[/tex], we get:
[tex]A[/tex]≈[tex]240.21[/tex] square inches .
Therefore, the surface area of the cylindrical tube is approximately 240.21 square inches.
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Find the area of the middle rectangle if you know the two specified distances and the areas of the left and right rectangles. First rectangles 90second rectangles unknown (?)third rectangles 60. The distance from the first to the second rectangles is 18, and the distance from the second to the third rectangles is 14. The area of the middle rectangle is ___
The area of the middle rectangle is 720 square units.
Let's label the areas of the left and right rectangles as A and C, respectively. Let's also label the area of the middle rectangle as B. We know the distance between the first and second rectangles is 18, and the distance between the second and third rectangles is 14.
Using the formula for the area of a rectangle, we can write:
90 = lw
60 = sw
where l and w are the length and width of the left rectangle, and s and w are the length and width of the right rectangle. We want to find the width of the middle rectangle, so we can label it as x:
B = lx
We know the length of the middle rectangle is 32, so we can write:
B = 32x
Now we have three equations and three unknowns. We can use the distances between the rectangles to set up two more equations:
l + s = 18
s + 32 = 14
Simplifying, we get:
l + s = 18
s = -18 + 32 = 14
We can now solve for l and s in terms of x:
l = 18 - s = 18 - 14 = 4
s = 14
Substituting these values into the equations for the areas of the left and right rectangles, we get:
90 = 4w
60 = 14w
Solving for w in each equation, we get:
w = 22.5
Now that we have found the width of the middle rectangle, which is x = 22.5, we can use the formula for the area of a rectangle to find its area:
B = lx = 32(22.5) = 720
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Please use this function machine to answer the following question: If 3 was an input into Bucky's function machine, what would the output be of Badger's function machine?
The output of Badger's function machine when the input is 3.
To find the output of Badger's function machine, we need to first find the output of Bucky's function machine when the input is 3.
1. Input 3 into Bucky's function machine.
2. Follow the instructions on the function machine to find the output.
3. Input the output from Bucky's function machine into Badger's function machine.
4. Follow the instructions on Badger's function machine to find the final output.
Without knowing the specific instructions on the function machines, it is impossible to give a specific answer.
However, by following these steps, you can find the output of Badger's function machine when the input is 3.
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NEEDD HELP ASAP WILL MARK BRAINLIST!! Olivia and Abby are donating part of their allowance to charity. Abby is giving $10
less than twice the amount that Olivia is giving. In total, they are donating $125 to
charity. How much money is Abby giving?
$110
$68
$52
$75
$80
$98
Answer:
80
Step-by-step explanation:
45 x 2 = 90
90 - 10 = 80
80 + 45 = 125
Answer:
$80
Step-by-step explanation:
What does x mean just extra words
'x' is an unknown variable, so a value that is not known
The graph of function g in terms of x is made by starting with the graph f(x)= square root of x reflecting across the x asis, and then translating to the right 7 units. Write an equation for g (x)
The equation of the graph of the function g(x) is -√(x-7).
What distinguishes a reflection from a translation?Turns are frequently used to refer to reflection, which is when an object is flipped over a line without affecting its size or shape. The preimage is flipped over a line in a rigorous transition known as a reflection, but its size and shape are left unchanged. Flips is another name for reflections.
A figure can be translated if it is moved in any direction without altering its size, form, or orientation. A hard transformation called a translation alters the preimage's position but not its size, shape, or orientation. Slides are another name for translations.
Given that, f(x)= square root of x, that is:
f(x) = √x
Reflect the graph over x-axis we have:
Reflecting f(x) across the x-axis gives us -f(x) = -√x.
Translating -f(x) = -√x 7 units to the right gives us -f(x-7) = -√(x-7).
Hence, the equation of the graph of the function g(x) is -√(x-7).
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Find m<ADB
a) 59°
b) 44°
c) 13°
d) 33°
Answer:
A) 59°
Step-by-step explanation:
m<ADC is a right angle, therefore it is 90°
so that means you can now subtract the angle that you already know [31°] from it to get the angle that is left over, m<ADB
90°-31°= 59° (subtracting m<ADC [90°] from m<BDC [31°] leaves your remaining angle m<ADB [59°]
Helpppppp meeee and thank uuuuuuu
Answer:
look in the comments and have a good day
What is the volume? 3 yd 3 yd 3 yd
Answer:
Twenty Seven (27) cubic yards
Answer:
volume =27 cubic yards
Step-by-step explanation:
Volume = Base Area x Height
Volume= 3·3·3
Volume= 27
r each equation, determine whether its all symmetries that apply. (a) y^(2)-x+10=0
The equation y^(2)-x+10=0 has no symmetry.
Symmetry is when one part of an equation is the mirror image of another part. In this case, there is no symmetry because the equation cannot be mirrored on any axis.
To check for symmetry with respect to the y-axis, we can replace x with -x and see if the equation is still true. In this case, y^(2)-(-x)+10=0 is not the same as the original equation, so there is no symmetry with respect to the y-axis.
Similarly, to check for symmetry with respect to the x-axis, we can replace y with -y and see if the equation is still true. In this case, (-y)^(2)-x+10=0 is not the same as the original equation, so there is no symmetry with respect to the x-axis.
Finally, to check for symmetry with respect to the origin, we can replace x with -x and y with -y and see if the equation is still true. In this case, (-y)^(2)-(-x)+10=0 is not the same as the original equation, so there is no symmetry with respect to the origin.
Therefore, the equation y^(2)-x+10=0 has no symmetry.
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A rabbit culture begins with 10 rabbits that double in amount at the end of every month. How many rabbits are grown during the 12th month.
Using geometric sequences, 20,480 rabbits are grown during the 12th month.
What is the geometric sequences?A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the preceding term by a fixed non-zero number called the common ratio.
At the end of the first month, there are 10 x 2 = 20 rabbits.
At the end of the second month, there are 20 x 2 = 40 rabbits.
Similarly, at the end of the third month, there are 40 x 2 = 80 rabbits.
This is a geometric sequence with a common ratio of 2 and a first term of 10. The number of rabbits at the end of the 12th month would be:
10 x 2^12 = 10 x 4096 = 40,960 rabbits
To find the number of rabbits grown during the 12th month, we need to subtract the number of rabbits at the end of the 11th month from the number of rabbits at the end of the 12th month:
[tex]40,960 - (10 x 2^{11}) = 40,960 - 20,480 = 20,480[/tex]
Hence, 20,480 rabbits are grown during the 12th month.
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A contractor bids a job at $680 for materials plus $42 per hour
for labor. The total cost for the job can be modeled by: C = 42H +
680.
Find the number of hours that he has for the job if the owner wo
The contractor has 5.95 hours for the job if $930 is spent by him.
The total cost for the job can be modeled by C = 42H + 680, where C is the total cost of the job, H is the number of hours of labor, and 680 is the cost of materials.
If the owner wants to spend $930 for the job, then the number of hours that the contractor has for the job can be found by solving the equation C = 42H + 680 for H.
Thus, 42H + 680 = 930. Subtracting 680 from both sides gives 42H = 250. Dividing both sides by 42 gives H = 250/42 = 5.95 hours.
Therefore, the contractor has 5.95 hours for the job if the owner wants to spend $930.
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Bart wants to plant 8 trees in a row along his fence. He has been given 4 birches, 1 spruce, 1 poplar, 1 willow, and 1 elm. If the 4 birches are identical, then how many possible arrangements of trees are there?
The possible arrangement is 3960.
What is permutation?Permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.
Given that, Bart wants to plant 8 trees in a row along his fence.
Possible arrangement of 4 birches = 5 x 4 x 3 x 2 x 1 = 120
If 3 birches are next to each other, therefore, 6 possible arrangement are possible = A₄⁴ x A₅² = 480
Similarly,
If 2 birches are next to each other, therefore, 6 possible arrangement are possible = A₄⁴ x A₅² = 480
If 4 birches are not next to each other, therefore, possible arrangement are possible = A₄⁴ x A₅⁴ = 2880
Therefore, total arrangements = 120+480+480+2880 = 3960
Hence, the possible arrangement is 3960.
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what is 3/8 divided by 1/4
Answer:[tex]1\frac{1}{2}[/tex]
1. a. Report the p-value (Sig.) Based on Mean (top row):
b. Is this statistic significant?
c. For the Levene’s Test, do we want a significant p-value? (Yes/No)
d. What does this p-value mean about the variance in the three groups?
possible medication to treat high blood pressure. They decide it would be best to have 3 groups of randomly selected male participants: • One group (n=5) will be given a high dose of HyBlox: • One group (n=5) will be given a low dose of HyBlox: • One group (n=5) will be given a placebo sugar pill. They measure participants' blood pressures on a continuous scale. Participants are blind to condition and don't know which pill they've been given. The experimenters hypothesize that the participants given the highest level of HyBlox will have the lowest mean blood pressure level, the low dose HyBlox will have the second-lowest mean blood pressure level, and that the placebo group will have the highest mean blood pressure level. QUESTIONS: 1. Is this study within-subjects, between-subjects, or mixed? 2. What are the independent and dependent variables?
This is a between-subjects study. The independent variable is the type of medication given. The dependent variable is the participants' blood pressures. The experimenters reported a p-value (Sig.) Based on Mean (top row) of 0.071. No, this is not statistic significant. No, we don't want a significant p-value for the Levene’s Test. This p-value of 0.071 indicates that the variance in the three groups is not significantly different.
1.
a. The p-value (Sig.) Based on Mean (top row): 0.071
b. This p-value indicates that the null hypothesis cannot be rejected, meaning that there is no significant difference between the three groups.
c. The Levene’s Test does not require a significant p-value for the data to be valid.
d. This p-value indicates that there is no significant difference in the variance between the three groups.
2. This is a between-subjects study.
Independent Variable: Dosage of HyBlox (high dose HyBlox, low dose HyBlox, or placebo sugar pill)
Dependent Variable: Blood Pressure on a continuous scale
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Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.\\
The number line that shows the solution to the inequality y - 2 < -5 is:
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
What is inequality?
In mathematics, an inequality is a statement that compares two values, expressing that one value is less than, greater than, or less than or equal to, greater than or equal to, or not equal to another value.
The inequality is y - 2 < -5.
To graph the solution on a number line, we start by marking the point where y - 2 equals -5, which is y = -3. Then, since the inequality is less-than, we use an open circle to represent the point y = -3.
Next, we shade all the values of y that make the inequality y - 2 < -5 true. Since y is less than -3, we shade everything to the left of the open circle.
Therefore, the number line that shows the solution to the inequality y - 2 < -5 is:
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
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that the denominators are different. Simplify the result, if possible. (2)/(y-5)+(7)/(y+7)
The simplified expression is (3y-7)/(y^2-35)/3.
To simplify the given expression, we need to find the least common denominator (LCD) of the two fractions. The LCD of (y-5) and (y+7) is (y-5)(y+7).
Next, we need to multiply each fraction by the LCD in order to get the same denominator for both fractions.
(2)/(y-5) * (y+7)/(y+7) + (7)/(y+7) * (y-5)/(y-5)
= (2y+14)/(y^2-35) + (7y-35)/(y^2-35)
Now, we can combine the two fractions since they have the same denominator.
(2y+14+7y-35)/(y^2-35)
= (9y-21)/(y^2-35)
Finally, we can simplify the fraction by factoring out a 3 from the numerator.
= (3)(3y-7)/(y^2-35)
= (3y-7)/(y^2-35)/3
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20 points! transform these graphs. look at photo for questions.
If f(x) is the parent function and g(x) is the transformation of f(x), then the required functions are as follows:
5. g(x) = -4ˣ and 6. g(x) = -(1/5)ˣ.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
5.
The given function is as follows:
f(x) = 4ˣ
When the function f(x) = 4ˣ is reflected about the x-axis, then we get the graph of function g(x).
So, g(x) = -4ˣ
6.
The given function is as follows:
f(x) = (1/5)ˣ
When the function f(x) = (1/5)ˣ is reflected about the x-axis, then we get the graph of function g(x).
So, g(x) = -(1/5)ˣ
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Emma Koonce Solve by Trinomial Factor (a)=(1) Feb 22, 8:36:18 AM Solve the quadratic by factoring. x^(2)=2x+8 Answer: x
The solutions to the quadratic equation x^(2)=2x+8 are x=4 and x=-2.
To solve the quadratic equation x^(2)=2x+8 by factoring, we need to rearrange the equation to make it equal to zero and then factor the trinomial.
Step 1: Rearrange the equation to make it equal to zero.
x^(2)-2x-8=0
Step 2: Factor the trinomial using the "AC Method."
The "AC Method" involves finding two numbers that multiply to the product of the coefficient of the x^(2) term (a) and the constant term (c), and add to the coefficient of the x term (b).
In this case, a=1, b=-2, and c=-8.
The product of a and c is (1)(-8)=-8.
The two numbers that multiply to -8 and add to -2 are -4 and 2.
Step 3: Rewrite the equation using the two numbers found in Step 2.
x^(2)-4x+2x-8=0
Step 4: Factor by grouping.
(x^(2)-4x)+(2x-8)=0
x(x-4)+2(x-4)=0
Step 5: Factor out the common factor (x-4).
(x-4)(x+2)=0
Step 6: Set each factor equal to zero and solve for x.
x-4=0 or x+2=0
x=4 or x=-2
Therefore, the solutions to the quadratic equation x^(2)=2x+8 are x=4 and x=-2.
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