Answer:
-6, -6
Step-by-step explanation:
Given :
y = x² + 12x + 36Solving :
This is of the form : a² + 2ab + b²Hence, the factored form is y = (x + 6)²y = (x + 6)(x + 6)x + 6 = 0 ⇒ x = -6x + 6 = 0 ⇒ x = -6The zeros are : -6, -6
Kofi is 8years old and his mother is 42. In how many years will his mother's age be 3 times more than kofi's age?
Answer:
After 9 years mother's age will be 3 times more than kofi's age .
Step-by-step explanation:
Given
Age of Kofi = 8 years
Age of Mother = 42 years
According to question , 3 times more than kofi's age .
=> ( 8+ x ) 3 = 42 + x
=> 24 + 3x = 42 + x
=> 3x - x = 42 - 24
=> 2x = 18
=> x = 18/2
=> 9
After 9 years ,
Age of Kofi = 8 + 9 = 17 years Age of Mother = 42 + 9 = 51 yearsplease help!! i’ll give brainliest
Solve for x.
x = [?]
Answer:
3x +18+4x+15=180
7x+33=180
7x=180-33
7x=147
7x÷7=147÷7
x=21
Answer:
[tex]\boxed{\bf x = {21}^{o} }[/tex]
Step-by-step explanation:
We know that the sum of angles of a linear pair is always equal to 180°, they are also known as supplementary angles.
[tex]\sf 3x + 18 + 4x + 15 = {180}^{o} [/tex][tex]\sf 7x = 180 - 18 - 15[/tex][tex]\sf 7x = 147[/tex][tex]\sf \cfrac{ 7x}{7} = \cfrac{147}{7} [/tex][tex]\sf x = {21}^{o} [/tex]«•••••••••••••••«»•••••••••••••••»
Write an algebraic equation for the following.
A number raised to the fifth power is four less than ten times the number.
A. 5x = 10x - 4
B. x³ =4-10x
C. 5x4-10x
D. x³ = 10x-4
Answer:
a
Step-by-step explanation:
raise to five
less than
ten times
find the circumference and the area of a circle with 6m.
write your answer in terms of π, and be sure to include the correct units in your answer
Answer:
C = [tex]12\pi m[/tex]
A = [tex]36\pi m^2[/tex]
Step-by-step explanation:
I'm going to assume that the radius is 6m. The circumference of a circle is [tex]C = 2r\pi[/tex]. So we can plug in 6 for r and we get the circumference is [tex]12\pi m[/tex].
For area, the equation is [tex]A = \pi r^{2}[/tex]. So we can again plug in 6 for r and we get that the area is [tex]36\pi m^2[/tex].
If 6m is the diameter, then the circumference is [tex]6\pi m[/tex] and the area is [tex]9\pi m^2[/tex].
if the diameter of a cone is 16cm and the height is 15cm what is the volume? I've tried the formula v=1/3*3.14*r^2*h but the answer wasn't on the choice pick even when I divided the diameter by 2 to get the radius which is 6. and I've tried leg^2 +leg^2=hypotenuse, but I probably did it wrong. If you find the answer could you show how you found it? I'll put u as the brainiest.
Answer:
V= volume of cone A=Ah A= πr2
A= area of base 3
H= height
V= (3.1416)(16)(15) 3.1416x16x15= 753.9
3
V= 753.9 753.9÷3= 251.3 cu. in
3
Volume of the cone is 251.3 cu. in
I hope this helps you. Good luck!
Math ahh need done ASAP
Answer:
a) 3Step-by-step explanation:
Use the nth tern equation of the AP
[tex]a_n=a_1+(n-1)d[/tex]We have
[tex]a_1=-2[/tex] and [tex]a_{10}=25[/tex]Find the value of d
25 = - 2 + (10 - 1)d25 + 2 = 9d27 = 9dd = 27/9d = 3Correct choice is a)
Now
a_n=a+(n-1)d25=-2+9d9d=27d=3
The graph of a sinusoidal function intersects its midline at (0, 1) and then has a maximum point at
Write the formula of the function, where is entered in radians.
f(x) =
Answer:
f(x) = 4·sin(2/7x) +1
Step-by-step explanation:
The sinusoidal function y = a·sin(kx) +b will have cross its midline at (0, b), and a peak value of (x, y) = (π/(2k), a+b). We can use these facts to find the values of a, k, and b for the sinusoidal function.
__
midline(0, b) = (0, 1) ⇒ b = 1
peak value(7π/4, 5) = (π/(2k), a+1)
This gives rise to two equations:
7π/4 = π/(2k)
k = π/(2(7π/4)) = 2/7
and
a+1 = 5
a = 4
equationUsing the found values for the parameters of the function, we have ...
f(x) = 4·sin(2/7x) +1
A group of researchers want to determine whether type of psychotherapy has an effect on the number of PTSD symptoms in refugees. Specifically, they wan to determine if MDMA, a hallucinogenic drug given in a one-time dose, has a greater effect on reducing PTSD symptoms in refugees than the standard PTSD treatment or a placebo control. The researcher randomly assigns 60 people to 1 of the 3 treatment conditions. What is the alternative hypothesis in notation form? u1 =/ u2 =/ u3 p > 0 u1 = u2 = u3 It cannot be written in notation form.
The option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
We have:
A group of researchers wants to determine whether the type of psychotherapy has an effect on the number of PTSD symptoms in refugees.
As we can see in the problem, there are three treatment conditions are given.
Alternative hypothesis H₁: Not all means are equal
[tex]\rm H_0: \mu_1\neq \mu_2\neq \mu_3[/tex]
Thus, the option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.
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Find the distance between the pair of points. Give an exact answer and an approximation.
(3,4) and (5,11)
Answer: [tex]\displaystyle d=\sqrt{53}[/tex]
Step-by-step explanation:
We will use the distance formula to solve. See attached and view the work below.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(5-3)^2 +(11-4)^2}[/tex]
[tex]\displaystyle d=\sqrt{(2)^2 +(7)^2}[/tex]
[tex]\displaystyle d=\sqrt{4+49}[/tex]
[tex]\displaystyle d=\sqrt{53}[/tex]
Since 53 is prime, this is the simplest form. Since it asks for an exact answer, we are done.
a right triangle has a hypotenuse of 25 inches and a height of 7 inches .what is the area of the triangle?
87.5
25x7=175
175/2=87.5
A $52.50 screen door is on
sale for $42. Find the percent
of discount on the door.
Answer:
20%
Step-by-step explanation:
Given/To Find:
A $52.50 screen door is on
sale for $42. Find the percent
of discount on the door.
Solve:
Formula: Value 1 - Value 2 ÷ Original Value × 100
Hence we have:
52.50 - 42 = 10.5
10.5 ÷ 52.50 = 0.20
0.20 × 100
=20%
Check Answer:
52.50 × 20% = 10.5
52.50 - 10.5 = 42
Hence, the percent of discount on the door is 20%
Kavinsky
QUICK PLEEEASEEEEEEEEE
Answer:
c) 2
Step-by-step explanation:
By definition The mode is the most repeated number in the data-set.
A gallon of milk cost 3.79. because of inflation, the price increases by 5% per year . write an equation that models the growth in the price of milk
The art teacher, ms. garcia, gave each student half a sheet of paper. then she asked the students to color one fourth of their sheets of paper. what part of the original sheet did the students color?
The students will colour the 1/8th part of the sheet given to them by their teacher.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given that:-
The art teacher, ms. garcia gave each student half a sheet of paper. then she asked the students to colour one-fourth of their sheets of paperNow the sheet student have = 1 / 2
Students will colour 1/4th of the sheet they have = ( 1/2 x 1/4 )
= 1 / 8
Therefore the students will colour the 1/8th part of the sheet given to them by their teacher.
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344/299 = x
what is x?
Answer:
Mixed Number Form: x = 1 45/299
Decimal Form: x = 1.15050167…
Step-by-step explanation:
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
x-intercept: (4, 0), (-5, 0)
y-intercept: (0, -20)
Explanation:
x² + x - 20x² + 5x -4x -20x(x+ 5) -4(x +5)(x-4)(x + 5)Their x-intercept: (at x intercept, y will be 0)
(x-4)(x + 5) = 0x = 4, x = -5Their y intercept: (at y intercept, x will be 0)
y = (x-4)(x + 5)y = (0-4)(0 + 5)y = -20Answer:
x-intercepts : (4, 0) and (-5, 0)y-intercept : (0, -20)Step-by-step explanation:
Finding x-intercept(s)
The x-intercept's y-coordinate will be 0⇒ 0 = (x - 4)(x + 5)⇒ x = 4 and x = -5The x-intercepts are : (4, 0) and (-5, 0)Finding y-intercept
The y-intercept's x-coordinate will be 0⇒ y = 0² + 0 - 20⇒ y = -20The y-intercept will be (0, -20)Emmet set up a bubble station for his little sister's birthday party. He filled a bubble machine and a bottle for kids to blow their own bubbles. In the bubble machine, Emmet mixed 12 ounces of dish soap and 24 ounces of water. In the bottle, he mixed 5 ounces of dish soap and 9 ounces of water. Which container had the greater ratio of dish soap to water?
Answer:
It's 5912
Step-by-step explanation:
It's 5912 cause 5912 is the answer.
Find the volume of a cone with a base diameter of 9 in and a height of 7 in.
Step-by-step explanation:
Formula:
[tex]v = \pi \:r {}^{2} \:h[/tex]
radius is 4.5 because 9÷2=4.5
so it would be
[tex]v = \pi \times \:4.5^{2} \times 7[/tex]
volume = 445.3 units³
help giving branliest
Answer:
a
34
b
17
c
46
Step-by-step explanation:
a
Lowest age = 21
Highest age = 55
Range = 34
b
Add them all together and you get 17
c
Median is middle
17 total people
Formula for median:
(n + 1)/2 = th
n is the total
17 + 1 is 18
18 halved is the 9th number
The 9th number is 46
find the mid point of the line segment.
can you upload a less blury picture
Answer:
(-3/2, 0)
Step-by-step explanation:
The midpoint of a line segment is the average of the end point coordinates.
M = (A +B)/2
__
For end points A(-5, 5) and B(2, -5), the midpoint is ...
((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2 = (-3/2, 0)
The midpoint of the segment is (-3/2, 0).
Simplify each monomial rational expression 20x^2 divided by 10x^2
Answer:
2x to the 4th power
Step-by-step explanation:
Hope this helps
Put the functions, with their corresponding intervals, in order from least to greatest according to their average rates of change over those intervals.
Answer
Step-by-step explanation:
easy
What is the intensity of a 70-db sound? the threshold of human hearing is 1.0 × 10 -12 w/m 2.
According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.
How to determine the intensity of a 70-dB sound
The sound intensity (L), in decibels, is the intensity of a sound relative to a reference value, whose formula is described below:
L = 10 · ㏒ (I/I')
Where:
I - Intensity, in watts per cubic meter.I' - Sound intensity reference, in watts per cubic meter.If we know that L = 70 dB and I' = 1 × 10⁻¹² W/m², then the sound intensity is:
70 = 10 · ㏒ (I/10⁻¹²)
10⁷ = l/10⁻¹²
I = 10⁻⁵ W/m²
According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.
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Answer the one you would like thank you.
Answer: 1.9
Step-by-step explanation:
Question 11
9.88 rounds to 10
5.2 rounds to 5
10/5 = 2
y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 1/8
The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².
What is Equation of parabola?
The general equation of a parabola is: y = a(x-h²2 + k or x = a(y-k)² +h, where (h,k) denotes the vertex.
The standard equation of a regular parabola is y² = 4ax.
The given equation is of parabola : y= x²
Now, we have to reflect across the x- axis and then scaled vertically by a factor 1/8.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
Then, the new equation of parabola be:
y = [tex]-\frac{1}{8}[/tex] x²
Hence, The parabola y=x² is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².
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Plot the quadrilateral abcd under a reflection across the y axis
Answer:
the answer is down below
Step-by-step explanation:
Draw and label a point, a line, a line segment, a ray, and an angle in a triangle
Answer:
a point
a line
a line segment
a ray
and an angle in a triangle
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
(xy)⁷
The simplified expression is
Answer:
x⁷y⁷
Step-by-step explanation:
An exponent signifies the base is a repeated factor in the product. The exponent is the number of times it is a factor.
__
The term (xy)^7 means (xy) is a factor 7 times:
= (xy)·(xy)·(xy)·(xy)·(xy)·(xy)·(xy)
The commutative and associative properties of multiplication let us rearrange this to ...
= (x·x·x·x·x·x·x)·(y·y·y·y·y·y·y)
= (x^7)(y^7)
The expression can be simplified to ...
[tex](xy)^7 =\boxed{x^7y^7}[/tex]
_____
The rule of exponents is ...
(ab)^c = (a^c)(b^c)
Use the compass and ruler to inscribe a circle in the triangle.
Bisect each angle of the triangle using a compass then where the lines the have been bisected meet up, from there, put the the compass and then your pencil tip on the perimeter of the triangle and draw a circle
A cylinder has a height of 18 feet and a radius of 19 feet. What is its volume? Use ≈ 3.14
and round your answer to the nearest hundredth.
Answer:
20403.72Step-by-step explanation:
Height = h = 18 m
Radius = r = 19 m
Volume of cylinder:
[tex]=\pi r^2h[/tex]
[tex]=(3.14)(19)^2(18)[/tex]
[tex]=(3.14)(361)(18)[/tex]
[tex]=20403.72[/tex] [tex]m^3[/tex]
_____________________