1.
(x+7)²
using (a+b)²=a²+b²+2ab
= x²+7²+ ( 2×x×7 )
= x²+49+14x
THEREFORE, x²+14x+49 is the answer
2.
4x²-1 = 0
= (2x)²-1² = 0
using a²-b² = (a+b) (a-b)
THEREFORE, (2x+1) (2x-1) is the answer
HOPE IT HELPS :)
(BRAINLIEST) Which statement combines information from BOTH texts. Fill in the chart. Hurry please?
Answer:
Many newspaper reporters ignored the success of Black players and wrongly judged their actions
Step-by-step explanation:
its correct i swear its the right answer i bet you 100 brainly coins
Find the surface area of a triangular prism. 16 cm., 20cm.,12cm.,10cm.
(2x > 10) list some values for x that would make this inequality true
Answer:
6 , 7 , 8 , 9...
Step-by-step explanation:
2x > 10
x > 5
then
x = 6 , 7 , 8, 9...
I think that I am right and also think this will helpful to you.....
need help with geometry (number 20)
Answer: A
Step-by-step explanation:
Since diagonals of a rectangle are congruent and bisect each other, we know that the two opposite triangles formed by the diagonals are congruent by SAS.
Therefore, the measure of angle 1 is equal to 25 degrees.
please answer it
I need it now
Find the points on the ellipse
3x2 + y2 = 3
that are farthest away from the point (1, 0).
This question has to do with the Mathematical sub-topic in Geometry called Ellipse.
What is an Ellipse in Maths?An ellipse is a circle that has been stretched in one direction so that it is no longer symmetrical but oval in shape.
How does one find the points on the ellipse?Let us assume that the points on the ellipse is (cosθ, √3 sinθ)
Next let's minimize their distance squared from (-1, 0) taking a point on the ellipse as (cos θ- -1)² + (√3 sin θ)² =
cos²θ + 2cos θ + 1 + 3 sin² θ
(Substituting sin² θ + cos² θ = 1)
2 + 2 cos θ + 2 sin² θ
The derivative is given as
-2 sin θ + 4 sin θ cos θ =
-2 sin θ (2 cos θ - 1)
The above translates to 0 at sin θ = 0 or cos θ = 1/2, which results in 0°, 180°, 60°, 300°
Assuming we re-write the first derivative as - 2sin θ+ 2sin 2θ, the second derivative becomes:
-2 cos θ + 4 cos 2 θ
At 0°, 180°, 60°, 300°, we get 2, 6, -3, -3.
Therefore, our relative minima is given at 0°, 180°, while the relative maxima at 60°, 300°.
It is safe to declare, therefore that due to the nature of the function, the global minima and maxima will be among the four locations indicated above.
In addition to that,, 180° is the global minimum. This is because it is at the actual point, while 60° and 300° give the same value of the distance squared, thus both will each be maxima.
(cos θ, √3 sin θ) at 60°, 300° is (1/2, 3/2) and (1/2, -3/2)
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help me help me me hel
what is the slope of the line that passes through the points (-1,1) and (1,-15)
Answer:
[tex]\boxed{\text{The slope is -8.}}[/tex]Step-by-step explanation:
To find the slope of the line, you have to use a slope formula.
Slope formula:
[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
⇒ y2=(-15)
⇒ y1=1
⇒ x2=1
⇒ x1=(-1)
Rewrite the whole problem down.
[tex]\Longrightarrow: \sf{\dfrac{-15-1}{1-\left(-1\right)}=\dfrac{-16}{2}=\boxed{\sf{-8}}[/tex]
So, the slope is -8, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
What is 24% of 234 and it has to be 20 characters long
Answer:
56.16
We need to determine 24% of 234 now and the procedure explaining it as such
Step 1: In the given case Output Value is 234.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 234 = 100%.
Step 4: In the Same way, x = 24%.
Step 5: On dividing the pair of simple equations we got the equation as under
234 = 100% (1).
x = 24% (2).
(234%)/(x%) = 100/24
Step 6: Reciprocal of both the sides results in the following equation
x%/234% = 24/100
Step 7: Simplifying the above obtained equation further will tell what is 24% of 234
x = 56.16%
Therefore, 24% of 234 is 56.16
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In your own words, explain how prime factorization is useful to find the greatest common factor and least common multiple.
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
So you can use the factor tree to find the GCF and LCM
The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
What is prime factorization?Prime factorization is a process of writing all numbers as a product of primes. So, for example, say if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number.
here, we have,
we need to explain how prime factorization is useful to find the greatest common factor and least common multiple.
now, we know that,
gcf is: Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.
and,
lcm is : LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
so, we have,
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
So you can use the factor tree to find the GCF and LCM.
Hence, The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
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PLS HELP NO LINKS!!!!!!!! 30 POINTS
Answer:
I'm sure it's the second one
Answer:
second answer is correct
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.
The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.
What is the hypergeometric distribution formula?
The parameters are:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this problem:
There is a total of 3 + 4 = 7 marbles, hence N = 7.
Of those, 3 are blue, hence k = 3.
2 marbles will be taken, hence n = 2.
Step-by-step explanation:
For which values of x is the expression undefined
Answer:
x = -7
Step-by-step explanation:
Any expression is undefined when a nonzero number is in the numerator and the denominator = 0. For this expression, set the denominator = to 0 and solve for x:
x + 7 = 0
x = -7
At x = -7, this expression is undefined.
I hope this helps!
Simplify the expression.
a)1/64
b)2^-30
c)64
d)2^30
[tex]\left(\dfrac{(-1)^5}{(-2)^{-3}} \right)^2\\\\\\=\left(\dfrac{-1}{\dfrac{1}{(-2)^3}} \right)^2\\\\\\=\left(-1 \times -8\right)^2\\\\=8^2\\\\=64[/tex]
Answer:
[tex]\huge\boxed{\bf\:64}[/tex]
Step-by-step explanation:
[tex]\left(\frac{(-1)^{5}}{\left(-2\right)^{-3}}\right)^{2}[/tex]
Now, simplify [tex](-1)^{5} = -1[/tex]. Then,
[tex]\left(\frac{-1}{\left(-2\right)^{-3}}\right)^{2}[/tex]
Calculate: [tex](-2)^{-3} = \frac{1}{(-2)^{3}} = - \frac{1}{8}[/tex].
[tex]\left(\frac{-1}{-\frac{1}{8}}\right)^{2}[/tex]
Divide [tex]-1[/tex] by [tex]- \frac{1}{8}[/tex]. The result will be [tex]8.[/tex]
[tex]\left(-\left(-8\right)\right)^{2} \\= 8^{2}[/tex]
Calculate [tex]8[/tex] to its square which is [tex]64.[/tex]
[tex]8^{2}\\=\boxed{\bf\: 64} \: \:\mathrm{(3^{rd} \: option)}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Consider: f(x) = One-half(3)x and g(x) = –One-half(3)–x On a coordinate plane, an exponential function f (x) approaches y = 0 in quadrant 2 and increases in quadrant 1. How would the graph be affected from f(x) to g(x)? The output values are reflected across the x-axis, but the input values are the same. The output values are the same, but the input values are reflected across the y-axis. The output values are reflected across the x-axis and the input values are reflected across the y-axis. The output values are the same and the input values are the same.
Answer:The output values are reflected across the x-axis and the input values are reflected across the y-axis.
Step-by-step explanation:
aye man you gotta believe me ;)
The graph of f(x) is transformed into g(x) by reflecting the output values across the x-axis and reflecting the input values across the y-axis.
We have,
f(x) = (1/2)³x
and, g(x) = -(1/2)³⁻ˣ
In f(x), the coefficient 3 in the exponent represents exponential growth.
Now, g(x) = –One-half(3)–x.
Here, the negative sign changes the sign of the output values, reflecting them across the x-axis. This means that the graph will be flipped upside down.
and, the negative exponent also changes the sign of the input values, reflecting them across the y-axis. This means that the graph will be mirrored across the y-axis.
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how can I solve 1 4/5 x 1/2?
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
first we write 1 4/5 as an improper fraction:
[tex]1 \frac{4}{5}=\frac{5}{5}+\frac{4}{5}=\frac{5+4}{5}=\frac{9}{5}[/tex]
Now we multiply :
[tex]\begin{aligned}1 \frac{4}{5} \times \frac{1}{2} &=\frac{9}{5} \times \frac{1}{2} \\&=\frac{9 \times 1}{5 \times 2} \\&=\frac{9}{10}\end{aligned}[/tex]
I keep coming up with different answers please help me?
Answer:
the answer is 1600
Plutonium-240 decays according to the function Q(t) = Qoe^-kt
where Q
represents the quantity remaining after t years and k is the decay constant,
0.00011... To the nearest 10 years, how long will it take 36 grams of
plutonium-240 to decay to 12 grams?
Answer:
9990 years
Step-by-step explanation:
The exponential function with given values filled in can be solved for the unknown using logarithms.
__
Q(t) = 12 = 36e^(-0.00011t)
1/3 = e^(-0.00011t) . . . . . . divide by 36
ln(1/3) = -0.00011t . . . . . . take natural logs
t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t
t ≈ 9990 . . . years
PLEASE ONLY ANSWER B. (GIVING BRAINLIEST THANKS)
Answer:
[tex][7\times(-2)]^5 = 7^5 \times (-2)^5[/tex]
Step-by-step explanation:
5 + 5 ? please answer tricks
Answer: 5 + 5 = 10
Reason: Imagine that you have 5 pencils in one hand, then you add another 5 pencils into that hand, and you would have 10 pencils. Thus 5 + 5 in this case is 10
Hope that helps!
Determine an exact value for sin _
3π/4-tan 5π/6
Answer:
[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]
Step-by-step explanation:
[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]
There is an animal farm where chickens and cows live. All together, there are 92 heads and 256 legs. How
many chickens and cows are there on the farm?
show your work!
Answer:
56 Chickens
36 Cows
Step-by-step explanation:
You can set this up as a system of equations:
(x=chickens, y=cows)
[tex]\left \{ {{92 = x+y} \atop {256=2x+4y}} \right. \\[/tex]
To solve this system, first we can solve for x in the top equation:
[tex]x=92-y[/tex]
Next, we can plug in x to the second equation and solve for y:
[tex]256=2(92-y)+4y\\256=184+2y\\2y=72\\y=36[/tex]
And now that we have y, we can plug it into the first equation and solve for x:
[tex]92=x+36\\x=56[/tex]
What is the probability of landing a C, 4 when spinning these spinners at the same time?
Answer:21%
Step-by-step explanation:21%
Compare the functions shown below:
g(x)
f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3
Using complete sentences, explain which function has the greatest y-intercept.
Answer:
I know 3 h(x)=4sin(2x+pi)+3 is the correct option.
Step-by-step explanation:
I don't exactly know why but based on examples in this class I made this conclusion.
Answer:
all are -3
Step-by-step explanation:
substitue 0
A recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour, one cup of sugar, and 2 cups of chocolate chips. how much of each ingredient should be used to make 2 dozen cookies
Answer:
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
Step-by-step explanation:
3 dozen chocolate chip cookies
3 cups of flour
1 cup of sugar
2 cups of chocolate chips
The recipe is for 3 dozen cookies as stated above.
If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.
That means you need 2/3 of all the ingredients.
2/3 × 3 dozen chocolate chip cookies
2/3 × 3 cups of flour
2/3 × 1 cup of sugar
2/3 × 2 cups of chocolate chips
We simplify the amounts to:
2 dozen chocolate chip cookies
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
Reflect the given triangle over
the y-axis.
3 6 31
-3 3 3.
{
ER
-3 -6
-3 [?] [
Answer:
see explanation
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y )
applying this rule to the given points , then we obtain
[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\\\end{array}\right][/tex]
What is the slope of a line perpendicular to the line whose equation is
3x – 3y = 63. Fully simplify your answer.
Answer:
3x-3y=63 = -1
Step-by-step explanation:
so the anwer is -1
Meena buys cookies and apples at the store.
She pays a total of $24.02.
She pays a total of $6.90 for the cookies.
She buys 4 bags of apples that each cost the same amount.
How much does each bag of apples cost?
Answer:
each apple would cost $4,28
The cost of each bag of apples is 4.28 dollars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that Meena buys cookies and apples at the store.
Meena pays a total amount of $24.02.
She pays a total amount of $6.90 for the cookies.
She buys 4 bags of apples which each cost the same amount.
The total cost of apples = 24.02 - 6.90
= 17.12
Therefore, each bag of apples cost = 17.12/ 4 = 4.28
Hence, the cost of each bag of apples is 4.28 dollars.
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(WORTH 70 PLS HELP) What percent of the values represented in this box-and-whisker plot are less than 20?
Box-and-whisker plot defined by points at 5, 20, 25, 30, and 45.
about 10%
about 25%
about 50%
about 75%
Answer:
About 25%
Step-by-step explanation:
The median is 25, and you know there are quartiles. From the median to a consecutive quartile, there is a range of 25%. For less than 20, It's from 5-20. Since there is a consecutive quartile, you get 25%!
Answer:
25%
Step-by-step explanation:
I took the test Hope this helps :)
find the value of 6y - 1 given that 17y - 8 = 9
Answer:
5
Step-by-step explanation:
if 17y-8=9, then you could say that 17y=17, by adding 8 to both sides.
So, y=1
Then, plug that value into the new equation 6y-1.
You recieve 6(1)-1
Therefore, the value of the new equation is 5