Hence, the variable y can be entirely eliminated using by applying the identity property of elimination
the numerator of the rational expression in the simplest form is z
the denominator of the rational expression in the simplest form is x
What is an expression?expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.). This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)
How to solve?we have,
[tex](\frac{xy^3}{yz^2} )(\frac{z^3}{y^2x^2} )[/tex]
on simplifying,
we get. [tex]\frac{z}{x}[/tex]
Hence, the variable y can be entirely eliminated using by applying the identity property of elimination
the numerator of the rational expression in the simplest form is z
the denominator of the rational expression in the simplest form is x
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What is the equivalent 6/10 1. 3/5 2. 9/12 3. 20/50 4. 40/50
Answer:
1.) 3/5
Step-by-step explanation:
When know that 3/5 is equivalent to 6/10 because both the numerator and the denominator are scaled up/down by the same amount. To be precise, we can get the answer of 3/5 by dividing the numerator and denominator by 2.
6 / 2 = 3
10 / 2 = 5
can someone help me please
answer:
oops, I accidentally messed this one up, so sorry
Answer:
"We can't use any of the patterns"
Step-by-step explanation:
You can't use [tex](U+V)^2[/tex] because that would result in some stuff in the middle. In general if you have something like that it would expand to [tex]U^2+2UV + V^2[/tex]. and same thing for the (U-V)^2 except the middle would be a negative number. You also can't use [tex](U+V)(U-V)[/tex] because it specifies "constant integers" and the "integer" part is what's really important, because you can technically rewrite the sum of squares as (U + V)(U - V) but you would need to use imaginary numbers. Because the difference of squares is defined as [tex]a^2-b^2 = (a-b)(a+b)[/tex]. But you can also think of it like this [tex]a-b = (\sqrt{a} - \sqrt{b})(\sqrt{a}+\sqrt{b})[/tex] because that's essentially what the original identity is saying. Using this definition you can write the sum of squares as [tex]a+b = a - (-b) = (\sqrt{a} + \sqrt{-b})(\sqrt{a} - \sqrt{-b}) = (\sqrt{a} + i\sqrt{b})(\sqrt{a} - i\sqrt{b})[/tex]. So with the restriction of constant integers "We can't use any of the patterns" is the correct answer
what is the length of the diagonal of the square shown below
Answer:
7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
the diagonal d divides the square into 2 right angles.
using Pythagoras' identity in one of the right triangles , then
d² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )
d = [tex]\sqrt{98}[/tex] = [tex]\sqrt{49(2)}[/tex] = [tex]\sqrt{49}[/tex] × [tex]\sqrt{2}[/tex] = 7[tex]\sqrt{2}[/tex]
Answer:
c =7√2
Step-by-step explanation:
using the Pythagorean theorem we solve the diagonal ,where the two sides are given to find the hypotenuse.
c² =a² + b²
where c is the diagonal (hypotenuse fot thr triangle)
a and b are the legs (sides)
c² =7²+7²
c²= 98
c= √98
c=√49.√2
c=7√2
i need the answer for this question, look at the image below for help
Answer:
x axis is -2.
y axis is +1.
(-1, 3)
What is Meant By Graphing Functions?Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.
According to the question,
The following graph represents the linear function f(x) = x -2
Take any point on this line, say, (-1, 3).
Let us substitute (-1, 3) = (x, y) (i.e., x = -1 and y = 3) in the function f(x) = -x + 2 (note that it can be written as y = x - 2).
Then
3 = -(-1) + 2
3 = 1 + 2
3 = 3, thus, (-1, 3) satisfies the function.
In the same way, you can try taking different points and checking whether they satisfy the function. Each and every point on the line (in general called "curve") satisfies the function.
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PLEASE HURRY!!!!!!!!!!!!!!!!!
What is the recursive formula for this geometric sequence? -3. -21, -147, -1029, …
Answer:
[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]
Step-by-step explanation:
A recursive formula allows a rem in the sequence to be found by multiplying the previous term by the common ratio r
For this sequence
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{-3}[/tex] = 7 , then recursive formula is
[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]
Just solve it for me no need to explain
Answer: -5/21.
Step-by-step explanation:
[tex]\frac{2}{5}*[\frac{-3}{7} +(\frac{-1}{6})]=\frac{2}{5} *(-\frac{3}{7} -\frac{1}{6}) =\frac{2}{5}*(-\frac{3*6+1*7)}{7*6} )=\frac{2}{5}*(-\frac{18+7}{42})=\frac{2}{5}*(-\frac{25}{42})=-\frac{5}{21} .[/tex]
Good luck an' have a nice day!
Answer:
Step-by-step explanation:
Which number line represents the solution for the
inequality |2x - 5] ≥ 3?
The attached graph represents the number line of the inequality |2x - 5] ≥ 3
How to determine the number line?The inequality is given as:
|2x - 5] ≥ 3
Remove the absolute value sign
2x - 5 ≥ 3 or 2x - 5 ≥ -3
Add 5 to both sides
2x ≥ 5 + 3 or 2x ≥ 5-3
Evaluate
2x ≥ 8 or 2x ≥ 2
Divide through by 2
x ≥ 4 or x ≥ 1
Combine both inequalities
x ≤ 1 and x ≥ 4
See attachment for the number line
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John bought a computer scanner and supplies for $215.70, which will
allow him to scan images for $0.34 each. A computer center charges
$0.59 to scan each image. How many images must John scan before
his total cost is less than getting scanned images at the computer
center?
John must scan more than 862 images before his total cost is less than getting scanned images at the computer center.
To determine how many images John must scan before his total cost is less than getting scanned images at the computer center, we can set up an equation.
Let's denote the number of images John needs to scan as "x."
The total cost for John to scan x images is given by:
John's total cost = cost of scanner + cost of supplies + cost per image scanned
John's total cost = $215.70 + ($0.34 * x)
The total cost for scanning x images at the computer center is given by:
Computer center's cost = cost per image scanned * x
Computer center's cost = $0.59 * x
We want to find the point at which John's total cost is less than the computer center's cost. In other words, we want to find the value of x for which John's total cost is less than the computer center's cost:
John's total cost < Computer center's cost
$215.70 + ($0.34 * x) < $0.59 * x
Now, we can solve for x:
$215.70 + ($0.34 * x) < $0.59 * x
$215.70 < $0.59 * x - $0.34 * x
$215.70 < $0.25 * x
Divide both sides of the inequality by $0.25:
$\frac{215.70}{0.25} < \frac{0.25 * x}{0.25}$
862.80 < x
Therefore, John must scan more than 862 images before his total cost is less than getting scanned images at the computer center.
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38. For the following exercises, sketch a line with the given features.
38. An x-intercept of (-4,0) and y-intercept of (0,-2)
Answer:
see image
Step-by-step explanation:
The x-intercept is the point where the line crosses the x-axis (horizontal, left and right line with numbers, arrows at both ends, usually marked x at the right end)
The y-intercept is where your line crosses the y-axis (vertical, up-and-down line with numbers, arrows at the ends, usually marked y at the top)
Two points determine a line.
Draw a line through the two points given. See image.
A bucket of chicken had 12 pieces and cost $9.48. After 3pm it was on sale for $0.10 off per piece. What was the sale price per piece of chicken?
Answer:
The sale price per piece of chicken was $0.69
Step-by-step explanation:
• We have to first calculate the price of 1 piece of chicken when 12 pieces cost $9.48.
Original price per piece = $9.48 ÷ 12
= $0.79
• According to the question the price per piece decreased by $0.10 during the sale.
∴ Sale price per piece = $0.79 - $0.10
= $0.69
question is below please it was very hard
Based on the polynomial function given, the lower bound can be found to be -14.
What is the polynomial function's lower bound?With f(x) being:
= x⁴ - 4x³ + 9x² - x - 14
Then f'(x) will be:
= 4x³ - 12x² + 18x - 1
If f'(x) is 0:
0 = 4x³ - 12x² + 18x - 1
x = 0.0578
So:
f(0.05) = -14.028
The lower bound is therefore -14.
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In a Fischer projection with only one horizontal line crossing through the vertical line, the point at which the two lines cross represents ______________.
The Central Carbon
What is Fischer's projection?It is a method that represents the three-dimensional structures of molecules on a single page. These are a convenient way to represent the molecules and distribute them between the pairs of enantiomers. These are very often used to represent isomers of sugars.
The Fischer Projection consists of horizontal and vertical lines, the horizontal lines represent atoms that are pointed out of the plane and the vertical line represents atoms that are pointed away from the plane. The intersection point of the horizontal line and the vertical line represents the central carbon.
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Find the total surface area of this triangular prism.
18 cm
30 cm
24 cm
7 cm
Answer:
936 cm^2
Step-by-step explanation:
Solution
Back (This is a rectangle)
Area = w * h
w = 7
h = 18
Area = 7 * 18 = 126 cm^2
Front and Back
Area = 1/2 * B * H (This is a triangle -- There are 2 of them)
Givens
B = 24
h = 18
Area = 1/2 * 24 * 18
Area = 216
But there are two such triangles = 2*216 = 432 cm ^2
Ramp
Formula Area = L*w (This is a rectangle)
L = 30
W = 7
Area = 30 * 7 = 210 cm^2
Base
This is also a rectangle
L = 24
W = 7
Area = L*W
Area = 24 *7 = 168 cm^2
Total
168 cm^2
210 cm^2
432 cm^2
126 cm^2
936 cm^2
A dolphin swims 665,280 feet in 3 hours find the dolphin's rate in feet per hour.
Using the Speed-Distance-Time relation, the Dolphin's rate in Feet per hour is 221,760 ft/hr.
What is Speed-Distance-Time relation?Speed indicates how quickly something or someone is moving. If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units in this example will be meters per second because the distance is measured in meters and the time is measured in seconds. Similar to an equation, the formula can be changed. We require the other two in order to calculate one of the variables. For instance, we need to know the length of the journey and the pace of movement in order to calculate the travel time.Given, we have the distance travelled by dolphin is 665,280 feet and time is 3 hours.
s = d/t = 665.280/3 = 221,760 feet per hour
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There are 4 captains of the football team. how many different ways can they line up to receive their championship rings?
24 different ways can they line up to receive their championship rings.
What is a permutation mean in math?
When the order of the arrangements matters, a mathematical technique called a permutation can be used to calculate the number of alternative arrangements in a collection. Common mathematics problems involve choosing only several items from a group of items in a specified sequence.What are permutations used for?
When an arrangement requires an order or a sequence, permutations are used. Combinations are employed when determining merely the number of potential groups is required and neither the order nor the sequence of arrangements is necessary.Given,
No. of captains of the football team = 4
So,
4 ways we can line up their championship rings = (4,4)
4 ×3 ×2 ×1 = 24
Therefore, 24 different ways can they line up to receive their championship rings.
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In the figure above, AP and CQ are tangents to the circle.
If ∠ABC = 60° and ∠BAP = 40°, find ∠BCQ.
Answer:
30
Step-by-step explanation:
You take a protractor and put at c then you measure
express 0.139 in p/q form bar on 39
plss answer it
The expression of the decimal 0.139 in fraction form of p/q gives; 139/1000
How to convert decimal to fraction?
We are given the decimal 0.139.
Now, when we want to convert to fraction, it means we want the decimal expression to have a numerator and a denominator.
Thus;
0.139 can also be expressed as; 139/1000
Therefore, the expression of the decimal 0.139 in fraction form of p/q gives; 139/1000
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What is the point-slope form of a line with slope that contains the point
(-3, 6)?
OA.y-3=2(x+3)
OB. y+6=2(x+3)
OC. y-6=-2(x+3)
D. y-6=2(x+3)
The point-slope form of a line with slope that contains the point
(-3, 6) is y-6=2(x+3)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The point-slope form of a line is given by y - y₁ = m(x - x₁)
where m is the slope of the line, and (x₁, y₁) is a point on the line.
We are given that the line has a slope, but we are not given what the slope is.
The given point is (-3, 6)
y - 6 = m(x - (-3))
y - 6 = m(x+3)
As per the given options which matches the point slope form is y-6=-2(x+3)
Hence, the point-slope form of a line with slope that contains the point
(-3, 6) is y-6=2(x+3)
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Can someone help me out on this geometry postulate questions? It’s urgent
20) [tex]\overline{AC} \cong \overline{AC}[/tex] by the reflexive property, so SSS
21) [tex]\overline{CD} \cong \overline{CD}[/tex] by the reflexive property, so ASA
22) [tex]\overline{CE} \cong \overline{CB}, \overline{AC} \cong \overline{CD}[/tex] by the definition of a midpoint and [tex]\angle 1 \cong \angle 2[/tex], so SAS
23) [tex]\overline{AC} \cong \overline{AC}[/tex] by the reflexive property, so ASA
Container measures 24ft by 8ft by 10ft, if 1 bushel is approximately 2220 cubic inches, approximately how many bushels of grain can the container hold ( 1ft=12in) Show Your work
Answer:
see below
Step-by-step explanation:
24 ft * 12 in/ft * 8ft * 12 in/ft * 10 ft * 12 in/ft = 3317760 in^3
3 317 760 in^3 / 2220 in^3/bushel = 1494.49 bushels
What is the degree form for 4π/5 radians?
Answer: 144 degrees
Step-by-step explanation:
Formulas:Radian ⇒ Degree = 180/π
Degree ⇒ Radian = π/180
[tex]\frac{4\pi }{5} *\frac{180}{\pi } =\frac{4}{5} *\frac{180}{1} =\frac{720}{5} =144[/tex]
Therefore your answer is 144 degrees
Hello !
π rad <=> 180°
4π/5 rad <=> ?°
The calculation ils attached.
We found 144°.
Have a nice day ;)
A 19 ft. ladder is leaning against a building that it is 13 ft. away from. Using the drawing below (not drawn to scale), find θ between the top of the ladder and the building. Round your answer to the nearest degree.
Answer:
43 °
Step-by-step explanation:
The ladder is the hypotenuse 13 feet is one leg of a a right triangle
sin = opposite leg / hypotenuse
sin (theta ) = 13 / 19
theta = arcsin (13/19) = 43°
Which of the following systems of inequalities has point C as a solution? Two linear functions f of x equals 3 times x plus 4 and g of x equals negative one half times x minus 5 intersecting at one point, forming an X on the page. A point above the intersection is labeled A. A point to the left of the intersection is labeled B. A point below the intersection is labeled C. A point to the right of the intersections is labeled D. f(x) ≤ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≤ 3x + 4 g of x is greater than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is greater than or equal to negative one half times x minus 5
The inequalities that will have point C as a solution are;
f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
What is the solution of the Inequality?We can see the inequality graph in the attached file.
Now, the two lines in the graph represent the equations;
f(x) = 3x + 4
g(x) = -¹/₂x - 5
Now, we see the point C and from inspection of the graph, we can see that it is to the right of f(x) and to the bottom of g(x) an as such the inequalities that will have point C as a solution is;
f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
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HELP!!!!!!!!
Find the direction of vector shown above. A. -68.2 N of E B. -21.8 N of E C. 21.8 N of W D. 68.2 N of W
The direction of the vector is - 21.8 N of E , Option B is the answer.
What is a Vector ?A vector is an object with both magnitude and direction.
A vector is shown in the graph.
To determine the direction , The angle needs to be determined
The slope of the vector will give the direction of the vector
The vector starts from the point (1 , 1)
Another point on the vector (-4 , 3)
slope = -2 /5
It is making angle x with the line y = 1
tan x = -2 /5
x = - 21.8 N of E.
Therefore the direction of the vector is - 21.8 N of E , Option B is the answer.
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Which is equivalent to start root 10 EndRoot Superscript three-fourths x ?
Answer:
d&#&#;#;'xn x;e;÷hr&÷h÷ebb ehehhbbsssshhheu73334914218899110
Find the volume in cm^3 of a right circular cylinder with a radius of 10 cm and height of 14 cm
4398.22 cm³ the volume of cylinder.
What is volume of cylinder?
'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc.Given,
Height of cylinder = 14 cm
radius of cylinder = 10 cm
Now using formula volume of the cylinder = π r² h
put value in formula,
3.14 × 10× 10 × 14 = 4398.22 cm³
Therefore, 4398.22 cm³ the volume of cylinder.
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A point is chosen at random on the number line between $0$ and $1$, and the point is colored green. Then, another point is chosen at random on the number line between $0$ and $1$, and this point is colored purple. What is the probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point
The probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point is 1/4
How to find the Probability?Let the "green" value be an x value lying on segment AC.
Now, the segment AC has the equation y = x. Then, let the "purple" value that is twice a selected x value lie on the segment AE and as such, the equation of this line is y = 2x.
It must be noted that at point E, x = 0.5 and y = 1. This means at every x value on AC greater than 0.5, the value of y on EC associated with this x value is is less than twice that x value.
Then, between segments AE and AC, every value of y will be greater than, but less than twice, its associated x value.
Since triangle ACD has an area of 1/2 and triangle BEA has an area of 1/4, then we can say that;
Triangle AEC area = 1 - (1/2) - (1/4) = 1/4.
Thus, the probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point is 1/4
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Which expression is equivalent to this polynomial? 9x² +4 OA. (3x+21)(3x-21) OB. (3x+2)(3x - 2) OC. (3x+21)² OD. (3x + 2)²
Answer:
None of these
Step-by-step explanation:
None of this expressions are equivalent. But if the original polynomial is 9x^2-4, then answer would be (3x+2)(3x-2).
Using formula (a+b)(a-b)=a^2-b^2 , it follows:
(3x+2)(3x-2)=(3x)^2-2^2=9x^2-4
Find the slant height x of the pyramid shown, to the nearest tenth.
6mm
7mm
7mm
Options:
A: 4.35
B: 9.2
C: 6.9
D: 3.9
Answer: C
Step-by-step explanation:
Construct the segment connecting the point where the height meets to the base to where the slant height meets the base.
This forms a right triangle with legs of length 3.5 and 6.
So, by the Pythagorean theorem, [tex]x=\sqrt{3.5^2 + 6^2} \approx 6.9[/tex]