Factor the expression:
16x^2+25
A) (4x-5i)(4x-5i)
B)(4x-5i)(4x+5i)
C) (4x-5)(4x+5i)
D (4x+5)(4x-5)
Answer:
B) (4x-5i)(4x+5i)
Step-by-step explanation:
The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...
a² -b² = (a -b)(a +b)
__
Here, we have ...
a² -b² = 16x² -(-25)
a² = 16x² ⇒ a = 4x
b² = -25 ⇒ b = √-25 = 5i
Then the factoring is ...
(a -b)(a +b) = (4x -5i)(4x +5i)
Answer:
Answer:
B) (4x-5i)(4x+5i)
Step-by-step explanation:
The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...
a² -b² = (a -b)(a +b)
__
Here, we have ...
a² -b² = 16x² -(-25)
a² = 16x² ⇒ a = 4x
b² = -25 ⇒ b = √-25 = 5i
Then the factoring is ...
(a -b)(a +b) = (4x -5i)(4x +5i)
Step-by-step explanation:
Evaluate the expression 3 x ; for x = 7
This would become 3(7) because of x = 7 in the original equation of 3x and the answer would be 21.
Answer:
3(7)= 21
Step-by-step explanation:
3 x
This means you are multiplying.
x = 7
3(7)= 21
2. The table shows the elevation of four lakes.
Elevations of Bodies of Water
Lake
Lake Clipson
Lake Roney
Lake Harney
Lake Campbell
Elevation (ft)
117
66
81
97
Which lake has the highest elevation?
A Lake Clipson
® Lake Roney
© Lake Harney
0 Lake Campbell
IT SUPPOSED THE BE LAKE CLIPSON
Solve the PROPORTIONS!
Answer:
q = 39Step-by-step explanation:
91 : 14 = q : 6
q = 91 * 6 : 14
q = 39
----------------------
check
91 : 14 = 39 : 6
6.5 = 6.5
the answer is good
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Answer:
C or the third option.
Step-by-step explanation:
The equation is y = 4x - 4
Hope this helps! Pls give brainliest!
patrick had 144 coins in his collection of nickels and quarters. If the coins have a total value of $20, how many are nickels and how many are quarters?
Answer:
30
Step-by-step explanation:
Ik you like math just like me please help me
Answer:
First Graph: 24, 48, 25, 52, 49, 51, 100
Second Graph: 24, 40, 53, 64, 26
Step-by-step explanation:
I'm honestly not very confident in my answer for the first graph because it greatly varies.
Correct me if I am incorrect.
What is the midpoint of the line segment with endpoints (-4, 5)
and (4, 3).
Answer:
(0,4)
Step-by-step explanation:
use midpoint formula
Select the correct answer.
The function Fx) = sin(x) is graphed on the domain (0,2*pie). Which statement is true about its leftmost point, where x =0 ?
A. The point is minimum
B. The point is maximum
C. The point is between an x-intercept and a maximum
D. The point is an x intercept
Answer:
D. The point at x = 0 is x-intercept itself.
Step-by-step explanation:
First, substitute x = 0 in f(x) = sin(x) and examine the point and values.
When x = 0, sin(0) = 0.
Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.
The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.
Thus, A and B are not correct choices.
The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.
Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.
Answer: D is Correct on edmentum/plato
Step-by-step explanation:
Help help math math please pelsss
Answer:
116°
Step-by-step explanation:
together both angles equal 180 because they are on a straight line and are opposite of each other.
180 - 64 = 116
I hope this helps!!
If it took 8 hours to mow 10 lawn, then at that rate how many lawns could be mowed in 24 hours
pls help... I need to write some words to post this
Answer:
k=100, n=3, 1.5625, 10
Step-by-step explanation:
To find n and k, we can plug x and z in.
First we can try this for (1,100). We will get:
[tex]100=\frac{k}{1^{n} }[/tex]
Since 1 to any power is 1, we can assume that the denominator is 1 and therefore k=100.
Armed with k=100, we can plug numbers into the second equation.
[tex]12.5=\frac{100}{2^{n} }[/tex]
Moving [tex]{2^{n} }[/tex] to the left side, we get:
[tex]2^n=\frac{100}{12.5} }=8[/tex]
therefore we can solve and we see that n=3.
We can do the same for x=4, but since we have n, k, and x, we can plug these in to get z
[tex]z=\frac{100}{4^{3}} =1.5625[/tex]
We will do the same as previous but instead plug in x
[tex]\frac{1}{10}=\frac{100}{x^{3} }[/tex]
We isolate [tex]x^{3}[/tex] and get
[tex]x^{3} =1000[/tex]
Therefore x=10
Write the equation of the line in slope intercept form that goes through points (-2, 5) and (3, 3)
Answer:
y=-2/5x+21/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-5)/(3-(-2))
m=-2/(3+2)
m=-2/5
y-y1=m(x-x1)
y-5=-2/5(x-(-2))
y-5=-2/5(x+2)
y=-2/5x-4/5+5
y=-2/5x-4/5+25/5
y=-2/5x+21/5
Find the complex zeros of
[tex] f(x) = {x}^{3 } - 13 {x}^{2} + 59x - 87[/tex]
[tex]f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\[/tex]
[tex]\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i[/tex]
what ratio is equivelant to 5 : 4
Answer:
1.25 to 1
Step-by-step explanation:
5/4 = 1.25 4/4 = 1 So the ratio is 1.25 to 1
Question
For every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer. If Nidhi weighs 15 kg, how many milligrams
of the fever reducer will the pediatrician prescribe?
Answer: 40 mg
Unitary method:
For 3kg --> 8mg
For 1kg --> 8/3 mg
For 15kg--> (8/3) * 15
--> 40 mg
The number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.
Given that, for every 3 kg of a child's weight, pediatricians prescribe 8 mg of fever reducer.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, for 1 kg of child's weight pediatricians prescribe [tex]\frac{8}{3}[/tex] mg of fever reducer.
If Nidhi weighs 15 kg, then the fever reducer = [tex]\frac{8}{3}\times15[/tex]
[tex]=8\times5[/tex]
[tex]=40[/tex] mg
Therefore, the number of milligrams of the fever reducer the pediatrician will prescribe is 40 mg.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ3
Distributive property 21x4
Answer:
21*4 = 84.
Step-by-step explanation:
Multiply 2 by 4 to get 8.
Multiply 1 by 4 to get 4.
Move the 8 into the tens place and move the 4 into the ones place.
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Answer:
2xz⁵/y⁴Step-by-step explanation:
Given expression:
[tex]\frac{16x^2yz^{13}}{8xy^5z^8}[/tex]Simplify considering like terms:
16/8 = 2x²/x = xy/y⁵ = 1/y⁴z¹³/z⁸ = z⁵The simplified expression is:
2xz⁵/y⁴If f(x) = 4x2 + 2x + 7, find the value of f(-5).
=
A. -103
B. -83
C. 97
D. 117
/I could use some help i dont know this
Answer:
4.5+19.75=24.25
Step-by-step explanation:
Last summer, Scott's family rented an RV. The rental fee allowed them to use the RV for 7 days. Scott's parents paid an additional $45 for the Cozy Camp upgrade, which included a grill to use for the duration of their trip. Scott's family paid $829 in all. What was the rental cost of each day they used the RV?
Based on the equation computed, it should be noted that the rental cost for each day will be $112 per day.
Total amount paid = $829Number of days used = 7 daysFrom the information that was given in the question, the equation to solve the question will be:
= (829 - 45) / 7
= 784 / 7
= $112 per day.
The correct option is $112 per day.
Learn more about equation on:
https://brainly.com/question/13763238
Ulises lives 2.5 miles from school. Convert the distance to feet.
Answer:
The answer is 13,200 feet.
Step-by-step explanation:
1 mile equals 5,280 feet, So all we have to do is multiply 5,280 by 2.5 miles.
5,280 * 2.5 = 13,200.
If you don't have a calculator you can multiply be splitting the parts.
5,280 * 2 = 10,560
+ 2,640 = 13,200
You get the 2,640 feet by dividing 5,280 by 2 because the 0.5 in 2.5 is half of a mile and 5,280 feet is a whole mile. Meaning that we have to cut the 5,280 in half to find the 0.5 in 2.5
Hope this helps! :)
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Answer:
13200 feet. Guaranteed
Step-by-step explanation:
HELP PLS, ill reward w brainlist or whatever those things r JUST HELP
Answer:
I am not exactly sure of the answer, i am just trying to help
I think the angle O is 135
The triangle BOC is a right angle triangle which means that O is 90 degrees so when K splits it in half it becomes 45 degrees in both BOK and COK. The triangle you are asked to find the angle of is AOK so the 45 degrees from the BOK triangle and add it to the the 90 degrees from the BOA triangle you will get 135 degrees for the angle O in the triangle AOK.
I dont know if you understan what i am trying to say
a husband and wife discover that there is a 4% probability of their passing on a hereditary disease to 3 of their children if they plan to have their children what is the probability of the event that at least one child will inherit the disease
"4% probability of their passing on a hereditary disease to 3 of their children"
I'm not sure if this means that the possibility of them passing the disease to one child is 4%, or if the probability of them passing the disease to the collective three children is 4%.
In case its the first one:
To make this a little easier, if you think about it the only possible way for the condition "at least one child will inherit the disease" to be untrue is if all 3 children do not have the disease. Therefore we just need to calculate the probability of all 3 children not having the disease.
if the chance of having the disease is 0.04, then the chance of not having it is 0.96
for three children: 0.96*0.96*0.96
= 0.884736
to find the chance of this not happening:
1 - 0.884736
= 0.115264 ≈ 12%
there is a 12 percent chance at least one of the children will inherit the disease
In case its the second one:
the probability of all 3 children having the disease is 0.04,
the probability of 1 child getting the disease is unknown, x.
this means
x*x*x = 0.04
x ≈ 0.342
now we just basically repeat the steps above
1 - 0.342
= 0.658 (probability that one child does not get the disease)
0.658 * 0.658 * 0.658
= 0.284890312 (probability that all 3 children do not get the disease)
1 - 0.284890312
= 0.715109688 ≈ 72%
there is a 72 percent chance at least one of the children will inherit the disease
what is the answer to this question?
posted a picture for better understanding:)
Answer:
-1.5 + 27
25.5
Step-by-step explanation:
-1.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5
During a visit to the tide pools, Brent observed 16 sea stars, 4 sea urchins, and 52 sea anemones. What is the ratio of sea anemones to sea stars?
Answer:
16 to 52
Step-by-step explanation:
pls help im being timed
Answer:
He needs 8 health packs
Step-by-step explanation:
3x + 5 [tex]\geq[/tex] 29
3x [tex]\geq[/tex] 24
x [tex]\geq[/tex] 8
Cuál sería el interés producido durante tres años, por un capital de s/30 000, al 5%
Answer:
2%
Step-by-step explanation:
Answer: la respuesta a tu pregunta es 2%
que tengas un gran día / noche!
The answer is 10^-2/3+5
Answer:
k
Step-by-step explanation:
Round 4.789443 to the nearest whole number
Answer:
5
Step-by-step explanation:
I don't think I should have to explain this but if it's in between 4.5 and 5 it will be 5 and if it's 4.5-4 it would be 4