Answer:
(x-9)(x-5)
Step-by-step explanation:
x²-5x-9x+45
x(x-5)-9(x-5)
(x-9)(x-5)
Answer:
(x-9)(x-5)
Step-by-step explanation:
To factor this expression, you need to find two values that have a sum of -14 and also have a product of 45. The values -5 and -9 meet these requirements and become the constants in the two factors of the expression,
x2 − 14x + 45 = (x − 9)(x − 5).
find the value of x in the given right triangle
Answer: 10.6
Step-by-step explanation:
[tex]\sin 62^{\circ}=\frac{x}{12}\\x=12 \sin 62^{\circ} \approx \boxed{10.6}[/tex]
what is the probability that a month starting with a vowel is drown
The product of two irrational numbers is (sometime, always, never) rational.
sometimes
Step-by-step explanation:
irrational numbers are numbers that cannot be expressed as a quotient of 2 numbers
rational numbers are numbers that can be expressed as a fraction.
for example let's take these examples of iirational numbers:
[tex] \sqrt{2} \times \sqrt{2} = 2[/tex]
[tex]\pi \times \pi = 9.86960....[/tex]
the 1st product (2) can be written as a fraction but the second one cannot be written as a fraction
5^(9x)=25^(4x+2) SHOW STEPSSSS
Answer:
x = 4
Step-by-step explanation:
[tex]5^{9x} =25^{4x+2}[/tex]
First you need to get a common base as your number.
[tex]5^{9x} =5^{2(4x+2)}[/tex]
The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.
[tex]5^{9x} =5^{8x+4}[/tex]
Now we can use this statement:
[tex]A^{m} =A^{n}[/tex] if [tex]m=n[/tex]
Using this we solve:
9x = 8x+4
-8x -8x
x = 4
Hope it helps!
Can someone help me with this? Thanks!
Part (a)
There are 3 face cards (jack, queen, king) in any given suit. We have 4 suits. That gives 3*4 = 12 face cards total.
12/52 = 3/13 is the probability of getting a face card on any random selection. This probably does not change for any future selection because we put the current card back. In other words, the deck has not changed. Contrast this with part (b) where the probabilities will change since the card counts decrease each time (since we don't put the card back).
The probability of getting 3 face cards in a row, with replacement, is:
(3/13)*(3/13)*(3/13) = 0.012289 approximately
This converts to the percentage 1.2289% after moving the decimal point two spots to the right. This is the same as multiplying by 100.
Lastly, round that to one decimal place to get 1.2%
Answer: 1.2The percent sign is already taken care of, so you'll just input the number only.
=============================================================
Part (b)
Like mentioned earlier, the probability of a face card is 12/52
I won't reduce that fraction, as you'll see why below.
After that first card is not put back, the 12 decreases to 12-1 = 11 and we have 52-1 = 51 cards left over.
11/51 is the probability of getting another face card, where we have no replacement going on.
Then 10/50 is the probability of getting a third face card. Again, with no replacement.
Therefore,
(12/52)*(11/51)*(10/50) = 0.009955
is the approximate probability of getting 3 face cards in a row with no replacement. Notice the count down 12,11,10 in the numerators. There's also the countdown 52, 51, 50 in the denominators. This nice pattern only happens if we don't reduce the reducible fractions. This is why I didn't reduce.
Anyways 0.009955 converts to 0.9955% which rounds to 1.0% or simply 1%
Answer: 1Which is the equation of an ellipse with directrices at y = ±2 and foci at (0, 1) and (0, −1)?
x squared over 4 plus y squared over 1 equals 1
x squared over 1 plus y squared over 2 equals 1
x squared over 1 minus y squared over 4 equals 1
x squared over 1 minus y squared over 2 equals 1
The answer will be x squared over 4 plus y squared over 8 equals 1.
What is an ellipse?An ellipse is an oval shape geometry having two focuses and the curve is equidistant from the focus.
The general equation of the ellipse is given as;
(x²/a²) + (y²/b²) = 1
The coordinates of a foci are: (±c, 0) where;
c² = b² - a²
However, we know that equation of directrix is; x = ±a/e
Now, Directrix is given ±4
Thus, a/e = 4
a = 4e
We also know that c = ae from ellipse foci coordinates.
Thus, ae = 2
since ae = 2, then (4e)e = 2
4e² = 2
e² = 2/4
e = 1/2
Thus;
a = 4 × 1/2
a = 2
Since c² = b² - a²;
2² = b² - 2²
4 = b² - 4
b² = 8
From (x²/a²) + (y²/b²) = 1, we can put our values to get;
x²/4 + y²/8 = 1
Hence the answer will be x squared over 4 plus y squared over 8 equals 1.
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In order to meet ada requirements, a wheelchair ramp must have an angle of elevation of no more than $4.8\degree$. a builder needs to install a ramp to reach a door that is 1.5 feet off the ground. what angle of elevation will this ramp have ?
"In order to meet ADA requirements, a wheelchair ramp must have an angle of elevation of no more than" the angle of elevation is mathematically given as
∅=3.434
What angle of elevation will this ramp have?Generally, the equation for the angle is mathematically given as
[tex]\theta=\frac{opp}{adj}\\\\Therefore\\\\tan\theta=\frac{1.5}{25}\\\\tan\theta=\frac{1.5}{25}\\\\\theta=tan^{-1}\frac{1.5}{25}\\\\[/tex]
∅=3.434
In conclusion, the angle of elevation
∅=3.434
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Drag each expression to the correct location on the table.
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
(32)4
3-3
3243 2-1
(34)²
3-3 2-3 63 24 35
(40)2
(23)
1
112122
2
23.3
The simplified value is shown below:
What is exponents and powers?Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times.
First,
3²*4³*[tex]2^{-1}[/tex]/(3*4)²
=9*64/144*2
= 576/288
=2
Second,
(3*2)^4 *[tex]3^{-3}[/tex]/2³*3
=1296/8*81
=1296/648
=2
Third,
[tex]3^{-3} *2^{-3} *6^{3} /(4^{0} )^{2}[/tex]
= [tex]6^{3} /(1 )^{2} *3^{3} *2^{3}[/tex]
= [tex]2^{3}* 3^{3} /(1 )^{2} *3^{3} *2^{3}[/tex]
=1
Fourth,
[tex]2^{4}* 3^{5} /(2*3)^{5}\\=2^{4}* 3^{5} /2^{5}*3^{5}[/tex]
= 1/2
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In complete sentences, explain whether or not it makes sense to say that the density of helium is 0.1785 kilograms per square meter.
No, it does not make any sense to say that the density of helium is 0.1785 kilograms per square meter.
How to express the density of an element?
No, it does not make any sense to say that the density of helium is 0.1785 kilograms per square meter.
The reason why it doesn't make sense is because density of helium, and all the rest of the chemical elements are calculated as;
Density = mass/volume
where;
mass is measured in kilograms.
volume is measured in cubic meter.
Thus, the density of the helium should be expressed as 0.1785 kilograms per cubic meter.
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Pretest: Unit 8
Question 12 of 13
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
A. The square root function is the quadratic function reflected across
the y-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
C. The square root function is the quadratic function reflected across
the x-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
graph y=x^2 and y=√x and y=x
graph is attached
gathmath
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 100 points
packs of collectible cards claim that 1 out of 3 packs contains a rare card. margie bought 7 packs and only received a rare card in 1 of the packs.
margie runs a simulation of 100 trials. in the simulation, she used a random number generator to select 7 digits from 1 to 3 with 1 representing a pack with a rare card and 2 and 3 representing a pack without a rare card. the frequency of the number of packs with rare cards in each trial of 7 samples in the simulation is represented by this table.
what is the best conclusion for margie to make based on the data?
the claim that 1 out of 3 packs contains a rare card is plausible because the simulation shows that only 1 pack with a rare card out of 7 is likely.
the claim that 1 out of 3 packs contains a rare card is plausible because the simulation shows that only 1 pack with a rare card out of 7 is unlikely.
the claim that 1 out of 3 packs contains a rare card is not plausible because the simulation shows that only 1 pack with a rare card out of 7 is likely.
the claim that 1 out of 3 packs contains a rare card is not plausible because the simulation shows that only 1 pack with a rare card out of 7 is unlikely.
Answer:
My guess would be b or d
Step-by-step explanation:
_____ cups rice is equivalent to 1 pound
Answer:
2.5 cups is equal to 1 pound.
Step-by-step explanation:
___2.5__ cups rice is equivalent to 1 pound
Hope This Helped
Answer:
2.5 cups of rice
I hope this helps
what is the least common denominator of 4/5ths and 5/7ths
Answer:
35 is the least common denominator
Step-by-step explanation:
35 is the least (smallest) common (same) multiple of 5 and 7. We use the smallest number that both 5 and 7 go into, because its supposed to be easier to use smaller numbers.
4/5 becomes 28/35 and 5/7 becomes 25/35. And now that they have the same denominator, you could add or subtract them.
A rectangle is transformed according to the rule r0, 90º. the image of the rectangle has vertices located at r'(–4, 4), s'(–4, 1), p'(–3, 1), and q'(–3, 4). what is the location of q?
For 90 degrees coordinate will be swapped and the position of the coordinate is in the third quadrant. Then the location of point q will be at (–4, –3).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
A rectangle is transformed according to the rule 90º.
The rectangle has vertices located at r'(–4, 4), s'(–4, 1), p'(–3, 1), and q'(–3, 4).
Then the location of q will be
For 90 degrees coordinate will be swapped and the position of the coordinate is in the third quadrant. Then the location of point q will be at (–4, –3).
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X
2
3
4
A. (1, 2, 3, 4)
B. (2, 6, 10, 14)
C. (1,2)
D. (1, 2), (2, 6), (3, 10), (4, 14)
y
2
6
10
14
Answer:
B (2,6,10,14)
Step-by-step explanation:
I think C and D are imposible to be the answer.
A and B are 50% to be the answer.
But I choose B.
Rotate the triangle 180° about the cross.
A triangle is a three-edged polygon with three vertices. If the triangle is rotated 180° about the cross then it will be done as shown below.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to b
If the triangle is rotated 180° about the cross then it will be done as shown below. This is because the triangle is 2 units away from the cross(dot) therefore, after rotation it will be at the same distance from the point.
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Need Help with this..
Answer:
119 4/7
Step-by-step explanation:
Add up all the sides
Hi Student!
Looking at the picture that was provided, we see that the problem statement is asking for us to determine the perimeter of the shape is. Perimeter is the outer layer of the shape which would include the lengths of all the sides that are exposed to the outside.
In this case, we are given 7 different values which represent each of the different sides of the shape which we need to add together to get the perimeter.
Create an expression
[tex]\textsf{Perimeter = side_{1}}[/tex][tex]\textsf{Perimeter = side1 + side2 + side3 + side4 + side5 + side6 + side7}[/tex]Using the expression above, all we need to do is combine all of the values which will give us the outline on our shape. However, since some of the values have different denominators, we will first need to combine the whole numbers and then combine those with a common denominator and finally apply a common denominator to be able to add the rest.
Combine the whole numbers
[tex]\textsf{Perimeter = }35\frac{3}{7} + 10\frac{1}{7} + 10\frac{1}{7} + 12\frac{2}{7} + 12\frac{2}{7} + 15\frac{3}{14} + 24\frac{1}{14}[/tex][tex]\textsf{Perimeter = }(35 + 10 + 10+12+12+15+24)+(\frac{3}{7} + \frac{1}{7} + \frac{1}{7} + \frac{2}{7} + \frac{2}{7} + \frac{3}{14} + \frac{1}{14})[/tex][tex]\textsf{Perimeter = }(118)+(\frac{3}{7} + \frac{1}{7} + \frac{1}{7} + \frac{2}{7} + \frac{2}{7} + \frac{3}{14} + \frac{1}{14})[/tex]Combine those with a common denominator
[tex]\textsf{Perimeter = }(118)+(\frac{3}{7} + \frac{1}{7} + \frac{1}{7} + \frac{2}{7} + \frac{2}{7}) + (\frac{3}{14} + \frac{1}{14})[/tex][tex]\textsf{Perimeter = }(118)+(\frac{3+1+1+2+2}{7}) + (\frac{3+1}{14})[/tex][tex]\textsf{Perimeter = }(118)+(\frac{9}{7}) + (\frac{4}{14})[/tex]Covert to mixed fraction and simplify
[tex]\textsf{Perimeter = }(118)+(1\frac{2}{7}) + (\frac{4}{14})[/tex][tex]\textsf{Perimeter = }(119)+(\frac{2}{7}) + (\frac{4}{14})[/tex]Find common denominator and combine
[tex]\textsf{Perimeter = }(119)+(\frac{2*2}{7*2}) + (\frac{4}{14})[/tex][tex]\textsf{Perimeter = }(119)+(\frac{4}{14}) + (\frac{4}{14})[/tex][tex]\textsf{Perimeter = }(119)+(\frac{4}{14}+\frac{4}{14})[/tex][tex]\textsf{Perimeter = }(119)+(\frac{4+4}{14})[/tex][tex]\textsf{Perimeter = }(119)+(\frac{8}{14})[/tex]Simplify the expression
[tex]\textsf{Perimeter = }(119)+(\frac{8/2}{14/2})[/tex][tex]\textsf{Perimeter = }(119)+(\frac{4}{7})[/tex][tex]\textsf{Perimeter = }119\frac{4}{7}[/tex]Therefore, the final answer for the perimeter of the figure that was provided would be [tex]119\frac{4}{7}[/tex] units.
Find the value of each variable. The dot represents the center of the circle.
Answer:
Step-by-step explanation:
By the inscribed angle theorem, [tex]a=21, b=42[/tex]
So, since angles in a triangle add to 180 degrees, the angle vertical to c is [tex]180-21-42=117[/tex], and thus [tex]c=117[/tex]
Which of these values represents the strongest correlation?
O A -0.8
O B. -0.6
O C. -0.5
O D. -0.7
Answer:
A. -0.8
Step-by-step explanation:
The closer its absolute value to 1, the stronger the relationship is.
A. |-0.8| = 0.8
B. |-0.6| = 0.6
C. |-0.5| = 0.5
D. |-0.7| = 0.7
0.8 is closest to 1, therefore representing the strongest correlation.
Hope this helped :)
Translate the shape A three squares right and one square up.
What are the coordinates of the vertices of the image?
Answer:
(4, 3) , (4, 0) , (6, 0)
Step-by-step explanation:
M (1, 4)
M ' ( 1 + 3, 4 - 1)
namely M ' (4, 3)
N (1, 1)
N ' ( 1 + 3 , 1 - 1) ((x, y) 3 squares right and 1 square down means
namely n" (4, 0) ( x + 3, y - 1))
p (3, 1)
p ' ( 3 + 3 , 1 - 1)
namely p' (6, 0)
Step-by-step explanation:
(3,4) not that sure about the coordinates are right
[100 POINTS] What is the measure of the arc from A to B that does not pass through C?
(Fill in the blanks)
Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
What is the Inscribed Angle Theorem?Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
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Calculate the discriminant to determine the number of real roots of the quadratic equation y = x^2 + 3x - 10
Ono real roots
three real roots
two real roots
one real root
The given quadratic equation [tex]y = x^2 + 3x - 10[/tex] Hence, the correct option is D one real root.
How to use discriminant to find the property of solutions of given quadratic equation?Let the quadratic equation given be of the form ax^2 + bx + c = 0, then
The quantity [tex]b^2 - 4ac[/tex] is called its discriminant.
The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:
Real and distinct if the discriminant is positive
Real and equal if the discriminant is 0
Non-real and distinct roots if the discriminant is negative
The given quadratic equation
[tex]y = x^2 + 3x - 10[/tex]
a = 1
b = 3
c = -10
The discriminant
[tex]b^2 - 4ac[/tex]
= 9 - 4(1)(-10)
= 9- 40
= - 31
Thus, Non-real and distinct roots if the discriminant is negative.
Hence, the correct option is D one real root.
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Jack is 14 years old. In 2032 to Jack will be twice his age. What year is it
Answer:
2018 I believe.
Step-by-step explanation:
He'll be two times his age in 2032 which is 28 years old. Subtract 28 from 2032 and you get 2018.
Answer:
2018
Step-by-step explanation:
in 2032 he will be 28 years old because he is 2 times older than 14, 2032-14=2018, because 14 years have passed since he was 14
Given lines l, m,n are parallel and cut by two transversal lines, find the value of x. Round your answer to the nearest tenth if necessary.
Answer: 50.5
Step-by-step explanation:
[tex]\frac{30}{22}=\frac{x}{37}\\x=(30/22)(37) \approx \boxed{50.5}[/tex]
Work out the perimeter of the shaded shape.
4m
19m
14m
8m
The diagram is not drawn to scale.
Answer:
45m
Step-by-step explanation:
4m+19m+14m+8m=45m
Victoria is putting down fertilizer in her garden. For every 25 square feet of garden, she needs one pound of fertilizer.
Let p represent the number of pounds of fertilizer.
Let g represent the area, in square feet, of garden she covers.
Which correctly names the independent and dependent variables?
independent variable: number of pounds of fertilizer; dependent variable: number of square feet of garden covered
independent variable: brand of fertilizer; dependent variable: number of pounds of fertilizer
independent variable: number of square feet of garden; dependent variable: number of pounds of fertilizer
independent variable: number of square feet of garden; dependent variable: number of people it takes to fertilize the garden
The independent variable: number of pounds of fertilizer; and dependent variable: number of square feet of garden covered.
Let
p = number of pounds of fertilizer.g = area, in square feet, of garden she coversWhat is dependent and independent variable?Dependent variable are variables which takes its value based on other values in an equation.
Independent variable are variables which takes its value outside an equation.
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please help me get better at math, i need someone who's actually good at it in order to become good myself.
Answer:
what subject of math? Anything to do with calc is a tough area but I can try.
Step-by-step explanation:
Kara rollerblades at an average speed of 14 km/h.
How far does she rollerblade in 15 minutes?
If Kara rollerblades at given average speed, in 15 minutes, she will rollerblade a distance of 3.5kilometers or 3500meters.
How far does Kara rollerblade in 15 minutes?Note that, speed is distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Hence, Distance = Speed × time
Given that;
Speed of Kara = 14km/hrTime elapsed = 15min = (15/60)hr = 0.25hrDistance covered = ?Distance = Speed × time
Distance = 14km/hr × 0.25hr
Distance = 3.5km or (3.5×1000)m
Distance = 3.5km or 3500m
Therefore, if Kara rollerblades at given average speed, in 15 minutes, she will rollerblade a distance of 3.5kilometers or 3500meters.
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I don't under stand what is wrong.
Answer:
In the first step, there is an issue when distributing the -3 to the terms inside of the parentheses. When multiplying the -3 to the -5, you would get an answer of +15, not -15.
The full correct process is:
(4m + 9) - 3(2m - 5) = 4m + 9 - 6m + 15
= 4m - 6m + 9 + 15
= -2m + 24
Please help me with this
Answer:
65.9 ft
Step-by-step explanation:
The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.
__
third angleThe sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...
angle C = 180° -75° -60° = 45°
ground distanceThen the distance between Amaya and Rochelle (c) is ...
c/sin(C) = r/sin(R)
c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)
c ≈ 65.8846
Amaya and Rochelle are about 65.9 feet apart.