Answer:
29°
Step-by-step explanation:
cos x = 84/98
x = cos-1(84/98)
x = 28.9
Find the length of the line AB if A is (-2,3) and B is (5,7)
Answer:
[tex]{ \tt{length = \sqrt{ {( - 2 - 5)}^{2} + {(3 - 7)}^{2} } }} \\ = \sqrt{65} \\ = 8.06 \: units[/tex]
If the battery costs $75 and has a life of 300 charge-discharge cycles, what is the cost of the energy in dollars per kilowatt hour
Answer:
I'm sorry but no idea
Step-by-step explanation:
No idea
pls help me i’m so stuck
Answer:
Step-by-step explanation:
If a point (x, y) is reflected across y = -x, coordinates of the image point will be,
(x, y)→ (-y, -x)
Following this rule,
Vertices of the triangle will be,
(3, 1) → (-1, -3)
(3, -2) → (2, -3)
(6, -3) → (3, -6)
Therefore, image of the given triangle A will be,
(-1, -3), (2, -3) and (3, -6)
(d) X(-12) = 132
help me with equations
[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]x \: ( - 12 )= 132[/tex]
[tex]↬ \: x = \frac{132}{ - 12} [/tex]
[tex]↬x = - 11[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x \: ( - 12) = 132[/tex]
[tex]➺ \: - 11 \: ( - 12) = 132[/tex]
[tex]➺ \: 132 = 132[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
Step-by-step explanation:
x(-12) = 132
To find the value of 'x' , divide both sides of the equation by (-12)
[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]
which of the points lies on the curve y=x^3
Answer:
D
Step-by-step explanation:
Hello,
A: no since (1/3)^3=1/27 not 1/9
B: no since (-1)^3=-1 not 1
C: no since (-2)^3=-8 not -6
D: yes since (-1/2)^3=-1/8
Answser D
HELP i need help on part b
Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years.
Number of years 1 2 3
House 1 (value in dollars) 253,980 259,059.60 264,240.79
House 2 (value in dollars) 256,000 263,000 270,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points)
Answer
Number of years 1 2 3
House 1 (value in dollars) 249,000 253,980 259,059.60
House 2 (value in dollars) 249,000 256,000 263,000
House 1: exponential function
House 2: linear function
House 1: f(x) = 249,000 * (1.02)^(x-1)
→ f(3) = 249,000 * (1.02)³⁻¹ = 249,000 * (1.02)² = 259,059.60
House 2: f(x) = 249,000 + 7,000(x-1)
→ f(3) = 249,000 + 7,000(3-1) = 249,000 + 7,000(2) = 249,000 + 14,000 = 263,000
House 1:
f(45) = 249,000 * (1.02)⁴⁵⁻¹ = 249,000 * (1.02)⁴⁴ = 249,000 * 2.39 = 595,110
House 2:
f(45) = 249,000 + 7,000(45-1) = 249,000 + 7,000(44) = 249,000 + 308,000 = 557,000
House 1 will have a greater value than House 2 after 45 years.
Step-by-step explanation:
Hope this helps, if not let me know and I will fix it.
Part A
The value for house 1 follows an exponential growth function since the value is increasing by 2% each year. This is because we multiply each value by 1.02 to get the next year's value.
249,000*1.02 = 253,980253,980*1.02 = 259,059.60259,059.60*1.02 = 264,240.792 = 264,240.79In contrast, house 2's value increases by the same amount each year (7000 per year)
249,000 + 7,000 = 256,000256,000 + 7,000 = 263,000263,000 + 7,000 = 270,000This fixed amount it increases directly leads to house 2 having linear growth.
-----------
Summary:House 1 = exponential functionHouse 2 = linear function=================================================
Part B
The equation for house 1's value is y = 249000(1.02)^x
This is in the form y = ab^x, where a = 249000 is the starting value and b = 1.02 is the growth rate factor.
We can think of 1.02 as 1+0.02 to represent the 2% growth.
In other words, 1.02 = 1+r solves to r = 0.02 = 2%
-----------
The equation for the second home's value is y = 7000x+249000
The slope m = 7000 tells us how the value is going up per year.
The y intercept b = 249000 is the original home value (when x = 0).
-----------
Summary:Equation for home 1 is f(x) = 249000(1.02)^xEquation for home 2 is f(x) = 7000x+249000=================================================
Part C
Let's plug x = 45 into each equation mentioned in part B
For home 1, we have
f(x) = 249000(1.02)^x
f(45) = 249000(1.02)^45
f(45) = 607,025.697
f(45) = 607,025.70
So that's the value of home 1 after 45 years of constant 2% growth per year
For the second home, we have,
f(x) = 7000x+249000
f(45) = 7000*45+249000
f(45) = 564,000
So there is a significant difference. This difference is 607,025.70 - 564,000 = 43,025.70 dollars.
-----------
Summary:Home 1's value = $607,025.70Home 2's value = $564,000This is a difference of $43,025.70 which is fairly significant. It's better to go with home 1.Find the coefficient of x^4 in the expansion of (x−9)^8
Please I need help!!
Answer:
459270
is the coefficientI need help with my math!!!
Answer:
[tex]y = |x+2|+1[/tex]
Step-by-step explanation:
Find the volume.
Use = 3.14
cone
h = 14 in.
r = 9.9 in.
in 3
h
Type the correct answer rounded to two
decimal places, pls help it would be so appreciated
Answer:
Volume of the cone given rounded to two decimal places is 1415.65in
Explanation:
Volume of a cone
[tex] = \pi {r}^{2} \frac{h}{3} [/tex]
[tex] = (3.14)( {9.9}^{2} )( \frac{14}{3} )[/tex]
[tex] = 3.14 \: \times \: 98.01 \: \times \: 4.6[/tex]
[tex] = 1415.65644[/tex]
Can someone help me with this math homework please!
hope this helps you.
Answer:
x values are inputs y values are outputs y = 6Step-by-step explanation:
y = 2 - 4x
y = 2 - 4(-1)
y = 2 + 4
y = 6
hope this helps!
please answer asap ------------------ ------------------ ------------------ ------------------
Answer:
Answer :
It's 3v - 9/2
Step-by-step explanation:
....
find the estimates for the following:
Answer:
Hope it helps
Step-by-step explanation:
why is the sum of two negative numbers not a positive number
please dont make the whole answer a example:)
Answer:
because when two negatives are together they can't add
Step-by-step explanation:
because when two negatives are together they can't add no matter if there's an addition sign
Type the correct answer in each box. Use numerals instead of words
Answer:
a) 1.73
b)1.32
Step-by-step explanation:
y = f(x) = 3^x
f(1/2) = 3^1/2 = √(3) = 1.73
f(1/4) = 3^1/4 = 1/4√3 = 1.32
help! urgent asap!!!!!!!!!!
Answer:
A
Step-by-step explanation:
This is because the answer you picked means congruent to, however these two triangles are not the same size
Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long until they meet?
Answer: 7 hr
Step-by-step explanation:
Given
Distance between Emily and Kylie is [tex]140\ \text{miles}[/tex]
Speed of Emily [tex]v_e=12\ mph[/tex]
Speed of Kylie [tex]v_k=8\ mph[/tex]
Distance traveled by Emily [tex]\Rightarrow d_e=12t[/tex]
Distance traveled by Kylie [tex]\Rightarrow d_k=8t[/tex]
[tex]\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr[/tex]
They will meet after 7 hour.
PLS HELP ASAP IS THIS TRUE OR FALSE?
*image below*
Answer:
true
Step-by-step explanation:
idek
Answer:
True
Step-by-step explanation:
If we say x-1=0
x=1
F(1)=(1)^3-7(1)^2+15(1)-9
=1-7+15-9
=-6-9+15
=0
So this proves that it's a factor by factor theorem
A factor must give 0 if it's substituted to the equation
In 3,536.655, the value of the digit in the tenths place is equal to____times the value of the digit in the ones place.
Answer:
1
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
Given the following digit;
3,536.655
Starting from the right (after the decimal), we would determine the place value of each number.
The place value of 5 is thousandths.The place value of 5 is hundredths.The place value of 6 is tenths.*The place value of 6 is ones or units (6 is in ones place).*The place value of 3 is tens.The place value of 5 is hundreds.The place value of 3 is thousands.* These are the values that are required for this calculation.
Thus, 6 = 1 * 6
In 3,536.655, the value of the digit in the tenths place is equal to one (1) times the value of the digit in the ones place.
Answer:
1
Step-by-step explanation:
The perimeter of a square is 16 cm. Find the length of its diagonal.
Answer:
perimeter of a square is l+l+l+l
16+16+16+16=64
Answer:
4√2 cm
Step-by-step explanation:
Perimeter of square = 4a = 16cm
a = 16 / 4
a = 4 cm
Length of each side = 4 cm
Diagonal^2 = side^2 + side^2
= 4^2 + 4^2
= 16 + 16
Diagonal^2 = 32
Diagonal = 4√2 cm
The graph below shows the solutions to which inequality?
6 foxes catch 6 hens in 6 minutes, how many foxes will it take to catch 60 hens in 60 min. AND NO ITS NOT 60 I ALREADY TRIED. WHOEVER ANSWERS GETS 50 POINTS!
Answer:
It is 6 foxes
Step-by-step explanation:
Because if 6 foxes can catch 6 hens in 6 minuets then 6 foxs can can 60 hens in 60 minutes because you just multiply 6 minutes by 10 and get 60 minutes which is also the same for hens.
Answer:
6 foxes
Step-by-step explanation:
For 6 foxes to catch 60 hens (10 x 6 or 10 times more than 6 hens) they will need 10 times more time than they had to catch 6 hens, or 10 x 6 = 60 minutes.
Solve the inequality
x^2+7x+10< 0
Answer: -5 < x < -2 or (-5, -2)
Step-by-step explanation:
Graph- (-5, -2)
Inequality- -5 < x < -2
How many odd numbers greater than 60000 can be formed, using numbers 2,3,4,5 and 6 if each digit is used only once in each number?
Hello,
All the numbers must begin with 6.
There are still 2,3,4,5 digits : 4 possibilities.
4!=4*3*2*1=24
The first is 62345 and the last 65432.
the question is in the picture below
Answer:
$843.67
Step-by-step explanation:
We can use a proportion to solve this problem:
12 : 100 = x : 896
x =(896 * 12)/100 = $107,52
896 - 107.52 = $788,48 (price of the computer after the discount)
7 : 100 = x : 788,48
x = (788,48 * 7)/100 = $55,1936
788.48 + 55,1936 = 843,6736 = $843.67 (final price)
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
Step-by-step explanation:
The area of a sector has the formula
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] Hopefully, this looks somewhat familiar to you. Theta is the central angle given as 75, r is the radius given as 4. Filling in:
[tex]A_s=\frac{75}{360}*(3.14)(4)^2[/tex] and simplifying that a bit to look less threatening, but not by much:
[tex]A_s=\frac{5}{24}(3.14)(16)[/tex] and
[tex]A_s=\frac{251.2}{24}=\frac{157}{15}=10.466666666...[/tex] Not sure how you're supposed to express your answer so I gave both the fraction and its decimal equivalency.
The gradient of the line passing through A (2,3), B (k,7) is
23
23
. Find the value of k. help pls
Given:
The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex].
To find:
The value of k.
Solution:
The gradient or slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex]. So,
[tex]\dfrac{2}{3}=\dfrac{7-3}{k-2}[/tex]
[tex]\dfrac{2}{3}=\dfrac{4}{k-2}[/tex]
On cross multiplication, we get
[tex]2(k-2)=4(3)[/tex]
[tex]2k-4=12[/tex]
[tex]2k=12+4[/tex]
[tex]2k=16[/tex]
Divide both sides by 2.
[tex]k=\dfrac{16}{2}[/tex]
[tex]k=8[/tex]
Therefore, the value of k is 8.
Which of the following describes point D?
The coordinates that describe the point D are: Option C: (0, 4)
How to find the coordinates of the graph?The graph shows that the vertical axis is labelled as the y-axis while the horizontal axis is labelled as the x -axis.
Normally, the coordinate system of writing the given points of the graph is (x, y)
Thus, the point D on the graph is seem to be 4 units on the positive y-axis and 0 units on the positive x-axis and as such, we can say that the coordinates of point D are:
D(0, 4)
Read more about Graph Coordinates at: https://brainly.com/question/11337174
Complete question is:
Which of the following describes point D?
(-4, 0)
(0, -4)
(0, 4)
(4, 0)
The Jacksons have a scaled down model of a football field on their property. The measurements of an actual sized field
are shown below.
50 yds
120 yds
The length of the field in the backyard is 30 yards. What is the width?
18.75 yards
6.25 yards
25 yards
12.5 yards
Answer:
Scale model width = 12.5 yards
Step-by-step explanation:
Given:
Actual length of field = 120 yards
Actual width of field = 50 yards
Scale model length = 30 yards
FInd:
Scale model width
Computation:
Scale model width = [Scale model length / Actual length of field] Actual width of field
Scale model width = [30/120]50
Scale model width = [1/4]50
Scale model width = 0.25 x 50
Scale model width = 12.5 yards
find the value of x and HI. H and J are the endpoints
Answer:
x = 6
HI = 29
Step-by-step explanation:
✔️HI = ½(AB) => Triangle Mid-segment Theorem
HI = 5x - 1
AB = 58
Plug in the values and solve for x
5x - 1 = ½(58)
5x - 1 = 29
Add 1 to both sides
5x - 1 + 1 = 29 + 1
5x = 30
Divide both sides by 5
5x/5 = 30/5
x = 6
✔️HI = 5x - 1
Plug in the value of x
HI = 5(6) - 1
HI = 30 - 1
HI = 29
HELP ME ASAP I need help with this problem
B.
the solution is in the picture