Answer:
Below in bold.
Step-by-step explanation:
The 3 angles add up to 180 degrees as they are in a triangle.
So 10x - 33 + 4x - 19 + 100 - 2x = 180
12x = 180 + 33 + 19 - 100
12x = 132
x = 11.
So the 3 angles are
10(11) - 33 = 110 - 33 = 77 degrees
4(11) - 19 = 25 degrees
100 - 2(11) = 78 degrees
Suppose you invest $1850 at an annual interest rate of 5.2% compound annually. write a function to re[resent the total earnings e(t) as a function of time in years,t.
Answer:$1,942.50
Step-by-step explanation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.5%/100 = 0.025 per year.
Solving our equation:
A = 1850(1 + (0.025 × 2)) = 1942.5
A = $1,942.50
The total amount accrued, principal plus interest, from simple interest on a principal of $1,850.00 at a rate of 2.5% per year for 2 years is $1,942.50.
Which of these is a reason you might use a credit union instead of a bank? (flocabulary)
A
They often don’t have any fees associated with their accounts.
B
They often have higher interest rates on savings accounts.
C
They often have higher interest rates on loans.
D
They are out to make a profit on your money.
i need help with this pls
Answer:
The answer is the first bullet. (number 1)
simplify the radical expression -2√2p*2√22
Answer:
Simplest form = -4√44p
Step-by-step explanation:
● -2√2p × 2√22
⇒ (-2)(2)(√2p)(√22)
⇒ -4√44p ...Answer...
hope that helps...
Algebra please help!!
The airplane reaches its maximum height of 95 feet after 10 seconds
How to calculate the maximum height of an object?The maximum height of an object the point where the velocity of the object is zero.
Given the function that represents the height of the airplane is expressed as h(t) = -(t-10)² + 95
The maximum height is the point where h'(t) = 0
h'(t) = -2(t-10)
0 = -2t + 10
2t = 10
t = 5secs
Substitute t =10 into the function
h(5) = -(10-10)² + 95
h(5) = -0 + 95
h(5) = 95feet
Hence the airplane reaches its maximum height of 95 feet after 10 seconds
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The point-slope form of the equation of the line equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1)
Answer:slope is 1/2, intercept is 2.5
Step-by-step explanation:slope is coefficient of x. Intercept is sun of constants on right side when left side is y. Add 3 to both sides
What is the intermediate step in the form (x + a)2 = b as a result of completing the square for the following equation? x² + 4x = 12
The equation in the form (x + a)² = b is (x + 2)² = 16
How to determine the intermediate step?The equation is given as:
x² + 4x = 12
Take the coefficient of x
k = 4
Divide by 2
k/2 = 2
Square both sides
(k/2)² = 4
Add this result to both sides of x² + 4x = 12
x² + 4x + 4 = 12 + 4
Evaluate the sum
x² + 4x + 4 = 16
Express as a perfect square
(x + 2)² = 16
Hence, the equation in the form (x + a)² = b is (x + 2)² = 16
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Is this a proportional relationship? Please help!
Answer:
No
Step-by-step explanation:
If you draw a line, it will not go through the origin and there isn't a constant rate of change.
Simplify the expression.
(x6y-6)
————
(x8y-8)
A new car is purchased for $29, 000 and over time its value
depreciates by one half every 3.5 years. What is the value of the car 20
years after it was purchased, to the nearest hundred dollars?
Answer:
290 take away 2 zeros wuxbeucheuxuejx
What is the range of the given function?
{(-2, 0), (-4,-3), (2, -9), (0, 5), (-5, 7)}
O {x|x = -5, -4, -2, 0, 2}
Oyly=-9, -3, 0, 5, 7}
O {x|x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Oyly = -9,-5, -4, -3, -2, 0, 2, 5, 7}
Answer:
see the attachment photo!
What is the percentage of 0,4(That is a decimal fraction)
Answer:
0.4= 4/10= 2/5
Step-by-step explanation:
The first decimal place after the point represent the place holder "tenth's"
0.4 = 4/10
This can simply to 2/5
Hope it will help:-)
2 over 5
Step-by-step explanation:
0.4=4 over 10 simplify=2over5
please help with this math problem i will give brainliest
Write the rational number as a decimal.
−38 =
Answer:
-0.38
Step-by-step explanation:
Investment increase exponentially by about 26% every 3 years. if you start with $2,000 investment how much money would you have after 45 years
Using an exponential function, it is found that you would have an amount of $64,060 in 45 years.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, considering the initial value of A(0) = 2000, with a growth rate of r = 0.26 each 3 years, the equation is given by:
[tex]A(t) = 2000(1.26)^{\frac{t}{3}}[/tex]
In 45 years, the amount will be given by:
[tex]A(45) = 2000(1.26)^{\frac{45}{3}} = 64060[/tex]
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This table displays the market share in percent of four companies.
Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Chart?
A. 0 to 40
B. 10 to 20
C. 0 to 20
D. 20 to 40
The right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40.
How do you set the vertical axis of a Bar Chart?In setting the vertical axis of a Bar Chart, note that it is vital for the categories to be natural as possible.
That is, the vertical axis should always begin with the number zero (0) and the scale values for the x axis must range from the lowest value on the left hand side to highest on the right hand side.
Therefore, due to the explanation given, the right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40 as it range from 0 to the highest value.
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Answer:
A
Step-by-step explanation:
i think i can be wrong
For each of the examples below, identify
the bearing of D from C.
a)
b)
N
220°
140°
155°
D
C
205°
Not drawn accurately
Answer:
140°
205°
Step-by-step explanation:
For A
The bearing of D from C is the angle at the line joining D and C while coming from the north pole in a clockwise direction.
from the diagram, the answer is = 140°
For B
The bearing of D from C is obtained same as A
so the answer is = 205°
What is the sum of √-2 and √-18?
O 4√2
O 4√21
O 5√2
O 5√21
Answer:
[tex]4 \sqrt{2} \: i[/tex]
Step-by-step explanation:
[tex] \sqrt{ - 2} + \sqrt{ - 18} \\ ( \sqrt{2} \times \sqrt{ - 1} ) + ( \sqrt{18} \times \sqrt{ - 1} ) \\ ( \sqrt{2} \times \sqrt{ - 1} ) + (3 \sqrt{2} \times \sqrt{ - 1} ) \\ \sqrt{2} i + 3 \sqrt{2} i \\ = 4 \sqrt{2} i[/tex]
The sum of √-2 and √-18 is 4i√2.
What are Irrational Number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
We have √-2 and √-18.
To find the sum of √-2 and √-18 we need to perform addition as
= √-2 + √-18
= √2i + √18i
= √2i + 3i√2
= 4i√2
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prove that n^2 +(n+1)^2 is always an odd number
I assume [tex]n\in\mathbb{Z}[/tex] (or at least [tex]n\in\mathbb{N}[/tex]).
[tex]n^2+(n+1)^2=n^2+n^2+2n+1=2n^2+2n+1=2(n^2+n)+1[/tex]
The above is always odd, because one of the factors of [tex]2(n^2+n)[/tex] is even, which makes the product even as well, and 1 is odd, and the sum of an even number and an odd number is an odd number.
Compare the equations represented in the table, equation, and graph over
the interval
[-5, 3]. Which function is increasing the fastest?
Answer:
Tabled Function
Step-by-step explanation:
To determine which function is increasing the fastest over the interval [-5, 3], we need to calculate and compare each function's average rate of change over the given interval.
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: -5 ≤ x ≤ 3
Therefore, a = -5 and b = 3
Tabled function[tex]f(3)=7[/tex]
[tex]f(-5)=-17[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(3)-f(-5)}{3-(-5)}=\dfrac{7-(-17)}{3+5}=3[/tex]
Equation: y = x² - 2[tex]f(3)=(3)^2-2=7[/tex]
[tex]f(-5)=(-5)^2-2=23[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(3)-f(-5)}{3-(-5)}=\dfrac{7-23}{3-(-5)}=-2[/tex]
Graphed functionFrom inspection of the graph:
[tex]f(3)\approx8[/tex]
[tex]f(-5) \approx 0[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(3)-f(-5)}{3-(-5)} \approx \dfrac{8-0}{3-(-5)}=1[/tex]
Therefore, the Tabled Function has the greatest average rate of change in the interval [-5, 3] and so it is increasing the fastest.
please help! please do not copy and paste i have seen the other ones
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Answer:
Given function:
[tex]f(x)=2(3)^x[/tex]
Part AThe average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
[tex]\begin{aligned}\textsf{Average rate of change - Section A} & =\dfrac{f(1)-f(0)}{1-0}\\\\& =\dfrac{2(3)^1-2(3)^0}{1-0}\\\\& =\dfrac{6-2}{1}\\\\& =4 \end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Average rate of change - Section B} & =\dfrac{f(3)-f(2)}{3-2}\\\\& =\dfrac{2(3)^3-2(3)^2}{3-2}\\\\& =\dfrac{54-18}{1}\\\\& =36 \end{aligned}[/tex]
Part B[tex]\dfrac{\textsf{Average rate of change of Section B}}{\textsf{Average rate of change of Section A}}=\dfrac{36}{4}=9[/tex]
Therefore, the average rate of change of Section B is 9 times greater than Section A.
The function is an exponential function (with 3 as the growth factor) so the rate of change increases over time.
Solve the equation
3(2x + 2) = 3x - 15
A. X = -7
B. X = -17/3
C. X = 3
D. X = 7
When starting a problem, almost every single problem needs to be understood by the person answering so they can see what needs to be done. In this example, we are given an expression and told to solve the equation which means that we need to solve for the unknown, in this case x.
Now that we know what we must do, we can start to solve the problem. Looking at the problem we can see that the step that we must take is to distribute 3 into the parenthesis.
Distribute
[tex]3(2x + 2) = 3x - 15[/tex][tex](3*2x) +(3* 2) = 3x - 15[/tex][tex](6x) +(6) = 3x - 15[/tex][tex]6x+6 = 3x - 15[/tex]Now that we distributed the values inside of the parenthesis we can move onto the next step which is to help isolate x. What we should do is subtract 6 from both sides which will help leave x with its coefficient alone.
Subtract 6 from both sides
[tex]6x+(6 - 6 )= 3x +(- 15 - 6)[/tex][tex]6x= 3x +(- 15 - 6)[/tex][tex]6x= 3x - 21[/tex]The next step that we should take to help solve for the unknown is to subtract 3x from both sides.
Subtract 3x from both sides
[tex](6x - 3x)= (3x - 3x) - 21[/tex][tex](6x - 3x)= - 21[/tex][tex]3x = - 21[/tex]The final step that we must take to help isolate the unknown would be to divide both sides by 3. This would remove the coefficient from x and we would get -21 divided by 3.
Divide both sides by 3
[tex]\frac{3x}{3} = \frac{- 21}{3}[/tex][tex]x = \frac{- 21}{3}[/tex][tex]x = -7[/tex]Therefore, after simplifying the expression that was given to solve for the unknown we were able to determine that the option that would best match the solution is option A, x = -7.
Answer:
a) x = -7
Step-by-step explanation:
Given: 3(2x + 2) = 3x - 15
1. Distribute:
3(2x) + 3(2) = 3x - 15
⟹ 6x + 6 = 3x - 15
2. Subtract 3x from both sides:
6x - 3x + 6 = 3x - 3x - 15
⟹ 3x + 6 = -15
3. Subtract 6 from both sides:
3x + 6 - 6 = -15 - 6
⟹ 3x = -21
4. Divide both sides by 3:
3x ÷ 3 = -21 ÷ 3
⟹ x = -7
5. Check your work:
3(2x + 2) = 3x - 15
3(2(-7) + 2) = 3(-7) - 15
3(-14 + 2) = -21 - 15
3(-12) = -21 - 15
⟹ -36 = -36 ✔
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In the 3rd quarter of year 5, what
were the approximate total sales in
the coastal region?
In the 3rd quarter of year 5, the approximate total sales in the coastal region is; $7 million
How to find total sales?
The image of the graph showing the quarterly sales has been attached. From the graph, the red lines indicates the coastal region, the blue lines indicates the northern region, and the green lines indicates the southern region.
From the graph, in the third quarter, we can trace the total sales on the y-axis to be approximately $7 million dollars.
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What is the volume of a triangle with a radius of 5 and a height of 6
How many solutions exist for the system of equations graphed below?
a.) none
b.) one
c.) two
d.) infinitely many
Considering the given graph, the number of solutions for the system of equations is given by:
b.) one
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In a graph, the number of solutions is given by the number of times the lines intersect. Hence, in this problem, the system has one solution, and option b is correct.
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I need help asap pls help
Answer:
For the first triangle:
[tex]2.75 units^{2}[/tex]
For the second triangle:
[tex]3.98 units^{2}[/tex]
Step-by-step explanation:
To find area of right triangles:
[tex]A=\frac{ab}{2}[/tex]
Turn mixed numbers into improper fractions, then decimals. It's not required but I tend to find working with decimals much easier ;)Multiply them togetherDivide by 2And you are good to go!
Please feel free to comment, give feedback, ask questions, and correct me if I am wrong!
Have a great day!
:)
Solve system of equation using elimination by addition.
Will give brainliest!!
Answer:
x = 6
Step-by-step explanation:
Add the system of equations together:
2x - 3y = 12
4x + 3y = 24
you get
6x = 36
divide by the coefficient
6x/6 = 1
36/6 = 6
x = 6
Not sure if you need the y, but if so, let me know!
Hope this helps!
Determine the value of Y.
Answer:
y=10°
Step-by-step explanation:
Here,
→(3x+18)°=(5x-4)°
→18°+4°=5x-3x
→22°=2x
→x=11°
Also,
3(4y+3)°+5x-4°=180°[The sum of the linear pair is 180°]
12y+9°+5x-4°=180°
12y+5°+5×11°=180°
12y+5°+55°=180°
12y=180°-60°
12y=120°
y=120°/12
y=10°
Opposite angles are equal
3x+18=5x-422=2xx=11Now
linear pairs are supplementary
3x+18+3(4y+3)=1803(11)+18+12y+9=18033+18+12y+9=18012y+60=18012y=120y=10PLEASE HELP!!!
Follow the guided instructions below to rotate the figure 270^{\circ}270
∘
clockwise about the origin.
Coordinates after 270 clockwise rotation is (-6,-2), (-3,-5) and (-8, -5).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given coordinates are: (-2,6) , (-5, 3) and (-5, 8)
For 270° clockwise about the origin, we have the following rule:
(x, y)= (-y, x)
So,
coordinates (-2,6) change into (-6,-2)
coordinates (-5, 3) change into (-3,-5)
coordinates (-5, 8) change into (-8, -5).
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PLease help 5 stars + thanks
Answer:
B.80
Step-by-step explanation:
a straight line adds up to 180 degrees. you already have 100. 180-100=80
What are the zeros of the function
f(x)=6x^2+x-40
Answer:
X= 2.667 or X= -2.5
Step-by-step explanation:
sorry if this isn't correct </3