9514 1404 393
Answer:
C) 30°
Step-by-step explanation:
The sum of angles in a triangle is 180°. The third angle is ...
180° -75° -75° = 30°
Answer:
the answer is 30°
Step-by-step explanation:
:)))))
Eighth grade Y 11 Write a linear equation from two points A line includes the points (4, 6) and (3, 3), What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form у y- Submit Work it out
Answer:
[tex]y = 3x - 6[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (4,6)[/tex]
[tex](x_2,y_2) = (3,3)[/tex]
Required
Equation in slope intercept
First, calculate the slope.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3-6}{3-4}[/tex]
[tex]m = \frac{-3}{-1}[/tex]
[tex]m = 3[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 3(x - 4) +6[/tex]
[tex]y = 3x - 12+6[/tex]
[tex]y = 3x - 6[/tex]
A community is considering raising funds to pay for improvements to the community swimming pool. To measure the
level of interest, community leaders went door-to-door in a few neighborhoods and interviewed residents. Of the 230
residents contacted, 157 support raising funds to pay for improvements. Which of the following represents the
sample in this setting?
O all residents of the community
O the 230 residents who were interviewed
O all residents who use the community pool
O the 157 residents who support raising funds
Mark this and return
Save and Exit
Next
Submit
Answer:
All residents of the community
Step-by-step explanation:
Not sure if this is fully correct but the 2nd and 3rd option is wrong (Edg 2021)
The correct option is b. the 230 residents who were interviewed.
Given,
A community is considering raising funds to pay for improvements to the community swimming pool. community leaders went door-to-door in a few neighborhoods and interviewed residents. Of the 230 residents contacted, 157 support raising funds to pay for improvements.
Now we have to find the sample in this setting.
A sample is the specific group that you will collect data from.
Here, 230 residents contacted, so the Sample is 230 residents.
Hence the correct option is b.the 230 residents who were interviewed.
For more details on Sample follow the link:
https://brainly.com/question/350477
Evaluate the expression: 1/3 (4x3)+2^3.
Solve the application problem. Ricky used a square piece of fabric to make a banner for a pep rally. The length of each side of the fabric was 4 feet. Find the perimeter of the piece of the piece of fabric. 18 feet 16. feet 9 feet 204 feet
Answer:
16 ft.)
Step-by-step explanation:
You would first do 4 x 4 since there is 4 sides, which would give you 16
hope you have a good day!
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
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Step-by-step explanation:
hdhsv sjsuebso issue s s9s s si
Answer:
5520
Step-by-step explanation:
18×40÷2=360
48×41=1968
48×18=864
360+360+1968+1968+864=5520
Please help! What is the area of this figure?
Answer and explanation please! <3
Answer:
19 units²
Step-by-step explanation:
Divide into three shapes:
Large rectangle BEFA
Large triangle - BCE
Small triangle - CDE -
BEFA = 4x3 = 12
BCE = 1/2x4x2 = 4
CDE = 1/2x3x2 = 3
12+4+3=19
The Adams family drove 319 miles in 5.5 hours. At this same rate, how many miles would they drive in
3 hours?
A:164 B:174 C:180 D:144
which of the following expression does not include a variable
a. 2x+3
b. 5x+4
c. 5-7x
d. 7x20-5
Answer:
d
Step-by-step explanation:
You are given two functions f(x) and g(x). How has the graph of g(x) changed from that of f(x)?
f(x) = log (x + 1)
g(x) = log (x - 2) + 5
A)
g has been shifted up five units and to the left two units from f
B)
g has been shifted up five units and to the right three units from f
C)
g has been shifted down five units and to the left two units from f
D)
g has been shifted down five units and to the right three units from f
Answer:
C. g has been shifted down five units and to the left two units from f
Step-by-step explanation:
Sana makatulong
What is the answer for B
Please help and use the proper theorem!
Calculate the Area of the Following Parallelogram. Round your answer to the
nearest hundredth.
Answer: (b)- 41.57
Step-by-step explanation:
Given
Dimension of Parallelogram is
[tex]\text{base b=8\ units}[/tex]
[tex]\text{length l=6 units}[/tex]
The area of a parallelogram is given by
[tex]\Rightarrow A=b\times h[/tex]
we need height for the area
From the figure, we can write
[tex]\Rightarrow \cos 30^{\circ}=\dfrac{AB}{6}\\\\\Rightarrow AB=6\cos 30^{\circ}=5.196[/tex]
and AB is the height of the parallelogram
[tex]\Rightarrow A=8\times 5.196=41.569\approx 41.57[/tex]
please help me asap
Answer C
Step-by-step explanation:
the 20% tip on a $8 sandwich
Answer:
Tip of $1.60
The total is $9.60
Step-by-step explanation:
(20% × $8) + $8
$1.60 + $8
$9.60
Find the missing side x=
Which equation has a slope of -1 and an x-intercept of (2,0)
Answer:
A (x+y=2)
Step-by-step explanation:
in order to see the slope value and to turn the equation into the slope-intercept form (y=mx+b). Basically we just solve for y and look at the coefficient of x. Then to see the value of the x-intercept we need to give y zero and then solve for x.
a) x+y=2
y=-x+2 (slope is -1)
when y=0 ; 0=-x+2 ; x=2 (x-int=2)
b) x-y=-2
y=x+2 (slope≠-1, it is +1 so this not the answer)
c) x+y=-2
y=-x-2 (slope is -1)
when y=0 ; 0=-x-2 ; x=-2 (x-int≠2 it is -2 so this not the answer)
d) x-y=2
y=x-2 (slope≠-1, it is +1 so this not the answer)
the answer is A (x+y=2)
Answer:
x + y = 2.
Step-by-step explanation:
Using the standard form
y = mx + b
the equation is
y = -1x + b
Now as the x intercept is (2, 0), x = 2 when y = 0 so:
0 = -1(2) + b
2 = b
b = 2
so we have
y = -x + 2
y + x = 2.
the product of two positive integers is 490 if the first integer is 7 greater than twice the second integer, what is the smaller of the two integers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: The second integer is smaller
x = 161
Explanation:
2x + 7 + x= 490
3x + 7 = 490
x = 161
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Can somebody help me
Please help me with this question! and tysm!
Answer:
272
Step-by-step explanation:
u do 68*4 because it said 4 times as henery
Hope this helps
Answer:
272
Step-by-step explanation:
4 times 68 = 272
an exponential function f is defined by f(x)=c^x where c is a constant greater than 1 if f (7) = 4 x f (5) what is the value of c
From the above, it can be seen that the nature of polynomial functions is dependent on its degree. Higher the degree of any polynomial function, then higher is its growth. A function which grows faster than a polynomial function is y = f(x) = ax, where a>1. Thus, for any of the positive integers n the function f (x) is said to grow faster than that of fn(x).
Thus, the exponential function having base greater than 1, i.e., a > 1 is defined as y = f(x) = ax. The domain of exponential function will be the set of entire real numbers R and the range are said to be the set of all the positive real numbers.
It must be noted that exponential function is increasing and the point (0, 1) always lies on the graph of an exponential function. Also, it is very close to zero if the value of x is mostly negative.
Exponential function having base 10 is known as a common exponential function. Consider the following series:
Derivative of logarithmic and exponential function 5
The value of this series lies between 2 & 3. It is represented by e. Keeping e as base the function, we get y = ex, which is a very important function in mathematics known as a natural exponential function.
For a > 1, the logarithm of b to base a is x if ax = b. Thus, loga b = x if ax = b. This function is known as logarithmic function.
Derivative of logarithmic and exponential function 2
For base a = 10, this function is known as common logarithm and for the base a = e, it is known as natural logarithm denoted by ln x. Following are some of the important observations regarding logarithmic functions which have a base a>1.
The domain of log function consists of positive real numbers only, as we cannot interpret the meaning of log functions for negative values.
For the log function, though the domain is only the set of positive real numbers, the range is set of all real values, i.e. R
When we plot the graph of log functions and move from left to right, the functions show increasing behaviour.
The graph of log function never cuts x-axis or y-axis, though it seems to tend towards them.
Derivative of logarithmic and exponential function 3
Logap = α, logbp = β and logba = µ, then aα = p, bβ = p and bµ = a
Logbpq = Logbp + Logbq
Logbpy = ylogbp
Logb (p/q) = logbp – logbq
Exponential Function Derivative
Let us now focus on the derivative of exponential functions.
The derivative of ex with respect to x is ex, i.e. d(ex)/dx = ex
It is noted that the exponential function f(x) =ex has a special property. It means that the derivative of the function is the function itself.
(i.e) f ‘(x) = ex = f(x)
Exponential Series
Exponential Functions
Exponential Function Properties
The exponential graph of a function represents the exponential function properties.
Let us consider the exponential function, y=2x
The graph of function y=2x is shown below. First, the property of the exponential function graph when the base is greater than 1.
Exponential Functions
Exponential Function Graph for y=2x
The graph passes through the point (0,1).
The domain is all real numbers
The range is y>0
The graph is increasing
The graph is asymptotic to the x-axis as x approaches negative infinity
The graph increases without bound as x approaches positive infinity
The graph is continuous
The graph is smooth
Exponential Functions
Exponential Function Graph y=2-x
The graph of function y=2-x is shown above. The properties of the exponential function and its graph when the base is between 0 and 1 are given.
The line passes through the point (0,1)
The domain includes all real numbers
The range is of y>0
It forms a decreasing graph
The line in the graph above is asymptotic to the x-axis as x approaches positive infinity
The line increases without bound as x approaches negative infinity
It is a continuous graph
It forms a smooth graph
Exponential Function Rules
Some important exponential rules are given below:
If a>0, and b>0, the following hold true for all the real numbers x and y:
ax ay = ax+y
ax/ay = ax-y
(ax)y = axy
axbx=(ab)x
(a/b)x= ax/bx
a0=1
a-x= 1/ ax
Exponential Functions Examples
The examples of exponential functions are:
f(x) = 2x
f(x) = 1/ 2x = 2-x
f(x) = 2x+3
f(x) = 0.5x
Solved problem
Question:
Simplify the exponential equation 2x-2x+1
Solution:
Given exponential equation: 2x-2x+1
By using the property: ax ay = ax+y
Hence, 2x+1 can be written as 2x. 2
Thus the given equation is written as:
2x-2x+1 =2x-2x. 2
Now, factor out the term 2x
2x-2x+1 =2x-2x. 2 = 2x(1-2)
2x-2x+1 = 2x(-1)
2x-2x+1 = – 2x
show proof and work for brainliest
What is the value of arccos(−1/2)in radians?
Answer:
2.0943951 radians
Step-by-step explanation:
Solve for x:
-2x + 11 = 23
6
-6
12
-12
Answer:
x = -6
Step-by-step explanation:
Ashton bought 5 cans of olive oil. Each can had a radius of 3.2 inches and was 15 inches tall. Find the total cubic inches of olive oil Ashton had.
Step-by-step explanation:
A can is a cylinder.
Volume of a can = Volume of Cylinder
[tex] = \pi {r}^{2} h[/tex]
Given Radius = 3.2 inches and height = 15 inches,
Volume of one olive oil can =
[tex]\pi( {3.2}^{2} )(15) \\ = 153.6\pi {in}^{3} [/tex]
Volume of 5 olive oil cans = 5 x volume of one olive can
[tex] = 5 \times 153.6\pi \\ = 768\pi {in}^{3} [/tex]
I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.
(13x+2)+(7x-10) add and find the answer
Answer:
[tex](13x + 2) + (7x - 10) \\ = 13x + 2 + 7x - 10 \\ = 13x + 7x + 2 - 10 \\ = 20x - 8[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Answer:
It should be 20x-8
Step-by-step explanation:
(13x+7x)(2-10)
add like terms and get..
20x-8
Write the equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening.
y = 2x^2 + 2
Step-by-step explanation:
y-2=2(x-0)^2
Vertex: (0,2)
Axis of Symmetry is x=0
Opens upward
Hope that helps :)
help asap i am struggling see image for problem
Answer:
p = 132 - 30d
Step-by-step explanation:
Here, we can plug in x = 6 into the equation provided at the end of the problem.
p = 6[25 - (3 +5d)]
p = 150 - 18 - 30d
p = 132 - 30d
Change the following expression to an equivalent expression in exponential form
Answer:
12^4/5
Step-by-step explanation:
When doing this you put the number the base is raised to on top of the fraction and the root number on the bottom
c) Share £160 in the ratio 1:9
(2)
Answer £
and £
Answer:
£16:£144
Step-by-step explanation:
1+9=10
160/10=16
1×16=16
9×16=£144
Answer:
16£ and 114£
Step-by-step explanation:
add the ratios
1 + 9 = 10
for the first ratio
(1/10) × 160
= 16£
for the second ratio
(9/10) × 160
= 114£
Find the general solution of DE 4y "+ y '= 0
Answer:
y=a+be^(-1/4t)
Step-by-step explanation:
We can solve the characteristic equation, 4r^2+r=0 to help.
Factor:
r(4r+1)=0
This implies r=0 or 4r+1=0.
The second equation can be solved by subtracting 1 on both sides and then dividing boths sides by 4 like so:
4r+1=0
4r+1-1=0-1
4r=-1
4r/4=-1/4
r=-1/4
So r=0 and r=-1/4 which means the general solution is y=ae^(0t)+be^(-1/4t)
Simplifying gives y=a+be^(-1/4t) since e^0=1.
Let's check our solution.
y=a+be^(-1/4t)
y'=0+-1/4be^(-1/4t)
y''=0+1/16be^(-1/4t)
Plug in:
4y''+y'=0
4*1/16be^(-1/4t)+-1/4be^(-1/4t)=0
1/4be^(-1/4t)+-1/4be^(-1/4t)=0
0=0 is a true equation so the solution has been verified.
A line has a slope of 1/2 and passes through the point (6,2).
a) Write the equation of this line in point-slope form
(b) What is the y-intercept of this line?
Answer:
a) y-2=1/2(x-6) b) The y-intercept of this line is -1.
Step-by-step explanation:
y-y1=m(x-x1)
y-2=1/2(x-6)
------------------
y=1/2x-6/2+2
y=1/2x-3+2
y=1/2x-1
y=mx+b where m=slope and b=y-intercept.