Answer:
The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Given,
f (2) = 60 – 5
= (30 X 2) - 5
∴ f (x) = [tex]30x-5[/tex]
Again,
f (x) = 13 [given]
[tex]30x-5=13\\or, 30x= 13+5\\or, 30x=18\\or, x=\frac{18}{30} \\\\or, x=\frac{3}{5} \\[/tex]
∴[tex]x=\frac{3}{5}[/tex]
Verification:
f (x) = [tex]30x-5[/tex]
∴ f ([tex]\frac{3}{5}[/tex]) = (30 X [tex]\frac{3}{5}[/tex]) - 5
= 18 - 5
= 13
∴ The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
Write the factored form of each trinomial.
x^2 + 11x +28
Answer:=
=(x^2+4x)+(7x+28)
=x(x+4)+7(x+4)
=(x+4)(x+7)
Step-by-step explanation:
Answer:
[tex](x+4) (x+7)[/tex]
Step-by-step explanation:
Factor x^2 + 11x + 28 using the AC method.
what’s the correct answer
Answer:
D
Step-by-step explanation:
One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply. 45, 65, 30,15.
Answer:
45°
Step-by-step explanation:
(180-90)/2 = 90/2 = 45°
The answer is 45°.
Step-by-step explanation:
Hey there!
Since it is an isoceles triangle two angles must be equal.
Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.
Then;
x+x+90° = 180° { Sum of interior angles of a triangle is 180°}
or, 2x + 90° = 180°
or, 2x= 180° - 90°
or, 2x = 90°
or, X= 90°/2
or, X=45°.
Therefore, the other angles are 45° and 45°.
Hope it helps!
what's the value of x and y?
Answer:
x = 55
y = 70
Step-by-step explanation:
since it's all sides are equal its an equilateral triangle
each angle of an equilateral triangle is 60°
therefore,
y - 10 = 60 => y = 60 + 10
y = 70
x + 5 = 60 => x = 60 - 5
x = 55
Answer:
x+5=y-10
x-y = -15
y-10+X+5+X+5=180
2x+y =180
x-y+2x+y =180-15
3x.=165
x. =55
2x+y =180
y =180-(110)
y =70
1. You and your friend mix water and citric acid. You add 3 cups of citric acid for every
16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose
mixture is more acidic?
Answer:
Mine will be more acidic
Step-by-step explanation:
16 cups × 12 cups
192 cups
For me: 3 citric acid every 3 cups
192÷16= 12
12×3= 36
Friend:
192÷12=16
16×2=24
In a freefall skydive, a skydiver begins at an altitude of 10,000 feet. during a freefall, the skydiver drops toward earth towards earth at a rate of 175 ft per second. the height of the skydiver from the ground can be modeled using the function H(t)=10,000-175t.
What is the domain of the function for this situation?
Answer:
{[tex]t|0\leq t\leq 50[/tex]}
Step-by-step explanation:
We are given that
In a freefall skydive, a skydiver begins at an altitude during free fall =10,000 feet
The skydiver drops towards earth at a rate=175 ft/s
The height of the skydiver from the ground can be modeled using the function
[tex]H(t)=10000-175t[/tex]
We have to find the domain of the function for this situation.
When t=0
Then ,[tex]H(0)=10,000 feet[/tex]
From given graph we can see that the value of t lies from 0 to 50.
Therefore, the domain of the function for this situation is given by
{[tex]t|0\leq t\leq 50[/tex]}
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \sqrt{25 \times 25} [/tex]
[tex] \\ \\ \\ \\ [/tex]
[tex] \sqrt{625} [/tex]
[tex] \sqrt{25 \times 25} \\ \\ = 25[/tex]
Hope This Helps You
4.
Which explanation provides the best real-world scenario of the graph?
A. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 + 120 gives the height of the object after t seconds.
B. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 120 gives the height of the object after t seconds.
C. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 – 120 gives the height of the object after t seconds.
Answer:
C. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 – 120 gives the height of the object after t seconds.
Step-by-step explanation:
.................................The last one is the only one that makes sense according to the standard position function. -16t^2 is the pull of gravity on an object in free fall, and the height is 120 feet above the ground. Hopefully that's what you need since there's no graph we can refer to
....................................................Answer:
The explanation that best provides the real-world scenario is:
If an object is dropped from a height of 120 feet, the function
gives the height of the object after t seconds.
Step-by-step explanation:
a)
If an object is dropped from a height of 120 feet, the function gives the height of the object after t seconds.
This option is incorrect.
Since when t=0 we have:
h(t)= -120
This is not possible as the object is above the ground and hence must have positive height initially.
b)
If an object is dropped from a height of -16 feet, the function gives the height of the object after t seconds.
This option is incorrect.
Since a object when is dropped from some height then it must be a positive height.
Also, when t=0 we have: h(t)= 120 feet.
This means that the object is dropped from a height of 120 feet.
c)
If an object is dropped from a height of 120 feet, the function gives the height of the object after t seconds.
In this when t=0 we have:
h(t)=120 that means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.
Hence, this option is correct.
........................................The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
.................Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
The explanation that best provides the real-world scenario is:
⇒ If an object is dropped from a height of 120 feet, the function
h(t) = - 16t² - 120 gives the height of the object after t seconds.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
a) If an object is dropped from a height of 120 feet, the function
h(t) = - 16t² + 120 gives the height of the object after t seconds.
Hence, This option is incorrect.
Since, when t=0 we have:
h (t) = -120
This is not possible as the object is above the ground and hence must have positive height initially.
b) If an object is dropped from a height of -16 feet, the function
h(t) = - 16t² + 120 gives the height of the object after t seconds.
This option is incorrect.
Since a object when is dropped from some height then it must be a positive height.
Also, when t = 0
we have: h (t) = 120 feet.
This means that the object is dropped from a height of 120 feet.
c) If an object is dropped from a height of 120 feet, the function
h(t) = - 16t² - 120 gives the height of the object after t seconds.
In this when t=0 we have:
h(t)=120
That means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.
Hence, this option is correct.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Beth is flying a kite with 300 feet of string. The kite gets stuck in a tree, so she ties the other end of the string to a rock on the ground making the string taut. The angle of elevation from the rock to kite is 35 degrees. How far up the tree is the kite? Round your answer to the nearest tenth. (No links please)
Answer:
[tex] \displaystyle 172.1 ft[/tex]
Step-by-step explanation:
refer the attachment
let the string be hypotenuse and
the height be h And the angle be 35°
given that,
hypotenuse:300ftangle:35°since we are given the hypotenuse and want to figure out the opposite side we'll use sin function
so our equation would be
[tex] \displaystyle \sin( {35}^{ \circ} ) = \frac{h}{300} [/tex]
cross multiplication:
[tex] \displaystyle h= 300 \sin( {35}^{ \circ} ) [/tex]
by using calculator we obtain:
[tex] \displaystyle h = 172.1[/tex]
hence,
about 172.1ft far up the tree is the kite
Hope this help!!!
Have a nice day!!!
Determine if the two triangles in the image above are similar. If so, what’s the correct postulate. SSS, SAS, AA, or None
Answer:
SAS
Step-by-step explanation:
There are 29 students in Mrs. Dixon's science class. On the last test, only 1 student earned the median score of 84.
How many students scored an 84 or lower?
A - 15
b - 14
C - 13
D - 12
Answer:
A
Step-by-step explanation:
Median can be described as the number that occurs at the middle of a set of observations.
for example, in the set of numbers, 1 2 3 4 5, the median is 3
median = (first number + last number) / 2
If there are 29 students,
median = (1 + 29) / 2 = 30/2 = 15
the 15th students scored 84
and students between 1 - 14 scored lower than 84
so, 15 students scored an 84 or lower
Point B is on line segment AC. Given AC = 20 and BC = 16, determine the length AB
Answer:
Answer is AB=AC-BC
20-16=4
Find the sum of x^2+3x and
-2x^2+9x+5
Answer: The answer is -x^2 + 12x + 5
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet.
Answer:
all of CO2 if go UC FL LG ex Vi if FC no of go on NJ TX FM NC ch UFC Vk jaa
Step-by-step explanation:
DJ ND fixUC guy if fu TX Vk kg go UC Chi UC ch UFC
Jorge's friend Anna planted a garden with the same ratio of tulips to daisies. Anna's garden has 21 tulips. How many total flowers are in Anna's garden?
Answer:
48 flowers
Step-by-step explanation:
Since, the ratio of tulips to daisies are the same.
Hence, if we have x number of daisies, then the number of tulips will also be x.
Therefore, with number of tulips being 21 and equal ratio of daisies will also mean that Anna has 21 daisies .
The total number of flowers will be :
Number of tulips + Number of daisies
21 + 21 = 42 flowers
Write a polynomial in factored form that has the given zeros:
Zero at -4 with multiplicity of 2
Zero at 5 with multiplicity of 3
Answers to choose from.
1. f(x)=(x-4)^2(x+5)^3
2. f(x)=(x-2)^-4(x+3)^5
3. f(x)=(x+4)^2(x-5)^3
4. f(x)=(x+2)^-4(x+3)^5
Answer:
f(x) = (x + 4)^2*(x - 5)^3
Step-by-step explanation:
For a polynomial P(x) with zeros (or roots):
x₁, x₂, ..., xₙ
And a leading coefficient (the one that multiplies the term of highest degree) A, we can write the polynomial as:
P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
Now, some of these roots can be repeated.
For example if x₁ = x₂
Then we say that the root x₁ has a multiplicity of two.
And we write the polynomial as:
P(x) = A*(x - x₁)^2*(x - x₃)*....*(x - xₙ)
Now, if we have a polynomial with the roots (or zeros):
Zero at -4 with a multiplicity of 2 (we have the root x = -4 two times)
Zero at 5 with a multiplicity of 3 (we have the root x = 5 3 times)
(And a leading coefficient A = 1, I assume)
This polynomial will be written as:
f(x) = (x - (-4))*(x - (-4))*(x - 5)*(x - 5)*(x - 5)
f(x) = (x + 4)*(x + 4)*(x - 5)*(x - 5)*(x - 5)
f(x) = (x + 4)^2*(x - 5)^3
The correct option is the third one:
Help me out please thank you ?!!!
Answer:
1) 69 2) 69 3) 60 4) 60 5) 51
Step-by-step explanation:
Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.
For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.
Hope this helps you in some way. if not, sorry i failed you.
Answers
angle 1 = 111 degreesangle 2 = 69 degreesangle 3 = 60 degreesangle 4 = 60 degreesangle 5 = 51 degreesBe sure to use the actual degree symbol instead of typing in "degrees" after each number.
========================================================
Explanation:
To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees
The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)
------------------------
Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary
(angle1)+(angle2) = 180
(111)+(angle2) = 180
angle2 = 180-111
angle 2 = 69 degrees
This method is used to prove the vertical angles theorem is always true.
-------------------------
Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3
y+82 = 142
y = 142-82
y = 60
angle 3 = 60 degrees
Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.
---------------------------
Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees
---------------------------
Let z = measure of angle 5
Focusing on the smaller triangle in the middle, we can say,
(angle2)+(angle4)+(angle5) = 180
(69) + (60) + (z) = 180
z+129 = 180
z = 180-129
z = 51
angle 5 = 51 degrees
Find the product: (2 - 3i)(4 + 2i)
Answer:
(2 - 3i)(4+2i)
(2 x 4)(2 x 2i) (-3i x 4) (-3i x 2i)
8 x 4i x -12i -6i^2
6i^2 - 12i x 32
Step-by-step explanation:
Answer:
6i² - 8i + 8
Step-by-step explanation:
1. Expand Brackets: 8 + 4i - 12i - 6i²
2. Simplify equation: 8 - 8i - 6i²
3. Rearrange: 6i² - 8i + 8
Anna's class has already collected 74 cans for the annual canned food drive. Her class
must collect more than 200 cans to reach their goal. The class plans to collect 15 cans
each day. Which inequality shows the number of additional days, d, Anna's class
needs to reach the goal?
CLEAR
15d + 74 > 200
15d - 74 > 200
15d + 74 > 200
150 – 74 > 200
Answer:
15d + 74 > 200
d > 8.4 days
Step-by-step explanation:
Total cans needed = over 200
Number of cans they have = 74
Number of cans needed per day = 15
Number of days = d
The inequality is
74 + 15d > 200
Also written as
15d + 74 > 200
15d > 200 - 74
15d > 126
d > 126/15
d > 8.4 days
Answer:
15d + 74 > 200
d > 8.4 days
Step-by-step explanation:
Total cans needed = over 200
Number of cans they have = 74
Number of cans needed per day = 15
Number of days = d
The inequality is
74 + 15d > 200
Also written as
15d + 74 > 200
15d > 200 - 74
15d > 126
d > 126/15
d > 8.4 days
I read an article saying that in the full population, there's a significant, positive correlation between the strength of your hand (grip strength) and the strength of your upper arm (arm strength). I want to see if that's true, and I have devices that can measure this accurately. I gathered a sample of average, healthy 21-year-olds and measured these two variables. My results were non-significant. Why didn't I find a significant correlation
Answer:
Restricted Range
Step-by-step explanation:
Required
Reason for insignificant correlation
From the question, we understand that the article discussed the full population while you restricted the correlation to only 21-year-olds age groups.
You left out other age groups included in the original dataset that was analyzed and reported by the article. The term that describes this act is restricted range, because other age groups are not represented in your analysis.
How do I solve 6/10 = x/15
Answer:
the answer is 9
Step-by-step explanation:
6/10=x/15
10x=90
x=9
The solution set of the inequality 2x – y > 2 consists of all the points ?_the line ?
O
above; y = 2x - 2
below; y = 2x - 2
above; y = -2x + 2
below; y = -2x + 2
0
Answer:
Step-by-step explanation:
What is the volume of the solld figure that has a helght of 11 feet and the following base?
volume___ft 3
Step-by-step explanation:
Area is 2D, and Volume is 3D
volume is L x W x H
area is L x W which has already been given to you so you just need to use the height given to you
38.28 x 11
please help me i really need help
Answer:
90
Step-by-step explanation:
Answer:
LITERALLY THESE WORDS: Because it goes up 8 and over 15
Step-by-step explanation:
if the goes up 8 and over 15 that has to be the slope.
I hope this helps even though its probably not :)
Y=-7(x+3)(x-2) in standard form
Answer:
7 x − y = 17
Step-by-step explanation:
Apply the distributive property.
y + 3 = 7 x+ 7 ⋅ − 2
Multiply 7 by − 2 .
y + 3 = 7x − 14
Rewrite the equation with the sides flipped.
7 x − 14 = y + 3
Move all terms containing variables to the left side of the equation.
Subtract y from both sides of the equation.
7x−14−y=3
Move -14.
7x−y−14=3
Step-by-step explanation:
1.
What are the solutions to the equation 0 = x2-x-6?
Geometry//// volume of a cylinder ✨✨✨✨
Answer:
595.82 cubic feet
Step-by-step explanation:
The formula for a cylinder is pi times radius squared times height. First, you take the diameter and divide it by two to get 4.25. Now do 4.25 times 4.25 and get 18.0625.
Now multiply 18.0625 by 10.5 to get 189.65625.
Now multiply that by pi (3.14) to get 595.82 (Rounded to the nearest hundreth)
I NEED PLEASE IT WOULD REALLY HELP ME ALOT !!
NO LINK OR ZOOMS
Answer:
C
Step-by-step explanation:
Don't worry about the volume to start with. Just look at the area of the top or bottom.
The hole has a 4 inch diameter
d = 4
r = d/2
r = 2
Area = pi r^2
Area = pi * 2^2
Area = 4 pi
Now find the area of the top (or bottom) if the circle was not there.
L = 8
W = 6
Area = L * W
Area = 8 * 6
Area = 48
Now take away the area of the circle.
Area Top = 48 - 4 * pi
Area Top = 48 - 12.56
Area Top = 35.44
Finally, Find the volume
Volume = area of the top * height
Volume = 35.44 * 15
Volume = 531.6
HELP ME PLEASE I REALLY NEED IT!!
Find the RATIO and the EXACT VALUE of the given Sec B.
Answer:
13/5
Step-by-step explanation:
Cos is the opposite of Sec si first find the Cos of B which is 5/13, which would mean the Sec B would 13/5.
Answer:
Step-by-step explanation:
Recall that the secant function is the reciprocal of the cosine function. The cosine function is defined as
adj side
cos Ф = ------------------
hypotenuse
and so the secant function is
hypotenuse 13
sec Ф = ------------------ which here is --------- = sec B
adj side 5
Is a triangle with side lengths 7cm, 24 cm, and 25 cm a right triangle? Explain.
Answer:
Step-by-step explanation:
If this is right triangle, then 2 things are fact: that the side length 25 is the length of the hypotenuse since the hypotenuse is always the longest side in a right triangle, and that Pythagorean's Theorem applies. Let's check that:
[tex]7^2+24^2=25^2[/tex] If this is a true statement, then these sides do indicate a right triangle.
49 + 576 = 625 and
625 = 625 so yes, this is right triangle by the Converse of Pythagorean's Theorem