Answer:
y = 12.9
Step-by-step explanation:
To find the value of the side y, simply apply the law of cosines.
y^2 = (14)^2 + (9)^2 - 2(14)(9)cos(64)
y^2 = 196 + 81 - 110.47
y^2 = 166.53
y = 12.9
Therefore, your solution should be y = 12.9
Cheers.
assuming there are no reflection of diliations explain how you would write the equation of the function whose is stretched graph belowh
Answer:
Start with the parent function y=1/x^2
Add 3 to x in the denominator, because the graph is shifted left 3.
Add 1 to the fraction, because the graph is shifted up 1 unit
Step-by-step explanation:It is the answer 100% on assignment
f(x) = 4x^4 – 2x^3 – 3x^2 + 6x - 9 Find the Zeros Using Descartes' Rule of Signs
Answer:
So possibilities of zeroes are:
Positive Negative Imaginary
1 1 2
3 1 0
Zeroes = -1.4549, 1.2658, 0.34457-1.0503i, 0.34457+1.0503i.
Step-by-step explanation:
Note: Descartes' Rule of Signs is used to find the signs of zeroes not the exact value.
The given function is
[tex]f(x)=4x^4-2x^3-3x^2+6x-9[/tex]
Degree of polynomial is 4 so number of zeroes is 4.
There are three sign changes, so there are either 3 positive zeros or 1 positive zero.
Now, put x=-x in f(x).
[tex]f(-x)=4(-x)^4-2(-x)^3-3(-x)^2+6(-x)-9[/tex]
[tex]f(-x)=4x^4+2x^3-3x^2-6x-9[/tex]
There is one variation in sign change, so there is 1 negative zero.
So possibilities of zeroes are:
Positive Negative Imaginary
1 1 2
3 1 0
Using graphing calculator the zeroes of given function are -1.4549, 1.2658, 0.34457-1.0503i and 0.34457+1.0503i.
Figure A is a scale image of Figure B. What is the value of x?
Answer:
x = 5.4
Step-by-step explanation:
Multiply 7.2 by 3/4 to find the equivalent ratio.
Answer:
5.4Step-by-step explanation:
[tex] \frac{7.2}{x} = \frac{4}{3} [/tex]
Apply cross product property
[tex]4x = 7.2 \times 3[/tex]
Multiply the numbers
[tex]4x = 21.6[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{21.6}{4} [/tex]
Calculate
[tex]x = 5.4[/tex]
Hope this helps..
best regards!!
the slope of the line below is -5 which of the following is the point slope form of the line (4,-8)
Answer:
y + 8 = -5(x - 4).
Step-by-step explanation:
In this case, y1 = -8, x1 = 4, and m = -5.
y - (-8) = -5(x - 4)
y + 8 = -5(x - 4).
Hope this helps!
how to do this question plz
Answer:
Step-by-step explanation:
9-5=4
8*4*10=320
5*10*3=150
320+150=470
470 cm³
BRAINLIEST, THANKS, 5 STARS & 15 POINTS IF ANSWERED CORRECTLY.
What is the 52nd term of the sequence below?
-38, -35, -32, -29...
Answer:
115
Step-by-step explanation:
It adds 3 every time and starts with -38. Our equation is:
a52 = -38+3(52-1);
a52 = -38 + 153
a52 = 115
Answer:
115
Step-by-step explanation:
→ First we need to work out the nth term. First we find the difference between each term
-38, -35, -32, -29... ⇔ +3
→ We know the first bit is 3n now we have to find the other section. We need to write the 3 times tables on top of each corresponding term
3 , 6 , 9 , 12
-38, -35, -32, -29...
→ We can see the to get from 3 to -38 we minus 41. So the nth term is
3n - 41
→ Now we substitute in 52 for n
3 × 52 - 41
→ Simplify
115
Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[tex]Find the largest value of $x$ such that $3x^2 + 17x + 15 = 5.$[/tex]
The largest x that satisfies
[tex]3x^2+17x+15=5[/tex]
is the largest solution to
[tex]3x^2+17x+10=0[/tex]
We have
[tex]3x^2+17x+10=(3x+2)(x+5)=0[/tex]
[tex]\implies x=-\dfrac23\text{ or }x=-5[/tex]
and so the largest value of x we want is -2/3.
Write an equation of the line that passes through the point (-6, -5) with slope 6.
A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)
Answer:
The answer is option D.
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Equation of a line from given a Slope and a point is
y - y1 = m(x - x1)
Where ( x1 , y1) is the point
Equation of the line using point (-6 , -5) and slope 6 is
y + 5 = 6(x - 6)Hope this helps you
people tend to be more Satisfied with election results if their top choices win.for how many,and what percentage,of people was the winning
A. their first choice (12 people)
B their second choice (7 people)
C their third choice (3 people)
D their last choice (3 people)
im so dum and suck at math
Answer:
Our set of data is:
A. their first choice (12 people)
B their second choice (7 people)
C their third choice (3 people)
D their last choice (3 people)
The total number of people is:
12 + 7 + 3 + 3 = 25.
You already know the number of people for each situation, but let's calculate the percentage:
1st choice: The first choice of 12 people winned, and the total number of people is 25.
Now, 25 is our 100%, then 12 is equivalent to x;
Then we have
12*100% = 25*x
x = (12/25)*100% = 48%
This is:
The quotient between
Second choice:
Same reasoning as above, here the percentage is:
(7/25)*100% = 28%
Third choice:
Same reasoning as above, here the percentage is:
(3/25)*100% = 12%
Fourth/Last choice:
Same reasoning as above, here the percentage is:
(3/25)*100% = 12%
To find the number of units that gives break-even for the product, solve the equation R C. Round your answer to the nearest whole unit A manufacturer has total revenue given by the function R = 90x and has total cost given by C 35x + 17,000, where x is the number of units produced and sold. A, 55 units
B. 125 units
C. 136 units
D. 309 units
Answer:
The correct answer is D.
Step-by-step explanation:
Giving the following information:
R = 90x
Total cost= 35x + 17,000
x= is the number of units produced and sold
Now, we know that:
Unitary variable cost= 35
Fixed costs= 17,000
Selling price per unit= 90
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 17,000 / (90 - 35)
Break-even point in units= 309 units
TIME LIMIT
What is the measure of angle B in degrees?
Answer:
B∠119°
Step-by-step explanation:
Well first we need c.
And c + 112 = 180
So -112 is c = 68
68 + 51 + a = 180
68+51 = 119 + a = 180
a = 61
b + 61 = 180
b = 119
I am starting to get this but, each question is a different subject so plz help asap. Btw these are not test or quiz questions. They are just practice questions so I know how to do it before a test or quiz.
Answer:
73 degrees
Step-by-step explanation:
Given
A Shaped Frame of two congruent sides
Required
Determine the angle made with the ground
Given that there are two congruent sides, this implies that the A frame is an isosceles triangle;
Let the two angles made with the ground be represented by x
Angles in a triangle when added equals 180;
Hence;
[tex]x + x + 34 = 180[/tex]
[tex]2x + 34 = 180[/tex]
Subtract 34 from both sides
[tex]2x + 34 - 34 = 180 - 34[/tex]
[tex]2x = 180 - 34[/tex]
[tex]2x = 146[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{146}{2}[/tex]
[tex]x = \frac{146}{2}[/tex]
[tex]x = 73[/tex]
Hence, the angle with the ground is 73 degrees
Simplify.
A12 over a7
Answer:
a^5.
Step-by-step explanation:
a^12 / a^7 = a^(12 - 7) = a^5.
Hope this helps!
If you vertically stretch the exponential function, f(x) = 2^x, by a factor of 4, what is the equation of the new function?
Answer:
f( x ) = 4( [tex]2^x[/tex] )
Step-by-step explanation:
If we vertically stretch a graph by a factor of 4, the " exponential slope " extending from the x - axis, should increase by a factor of 4 as well.
Therefore, the previous function is expressed by the following ...
f( x ) = [tex]2^x[/tex] ... then this new function should be -
f( x ) = 4( [tex]2^x[/tex] )
The equation of this new function is f( x ) = 4( [tex]2^x[/tex] )
please help :) Which number is greater than 3.14159 × 10 to the 4 power? A. 5,678,889 B. 9.897752 x 10 to the 6 power C. 71,224,900 D. 2.468 × 10 to the 7 power
Answer: C. 71,224,900
Based on the power, move the decimal point that many spaces to the right. (e.g., If it's 7.9 × 10^3, then move the decimal three spaces to the right, and you'd get 7900.)
3.14159 × 10^7 = 31415900
9.897752 × 10^6 = 9897752
2.468 × 10^7 = 24680000
Out of all the numbers mentioned in the question, 71,224,900 is the only one that's greater than 3.14159 × 10^7 = 31415900.
Karen has $600. She spent $240 on clothes. What percentage of money did she have left?
Answer: She had 60% of the money left
Step-by-step explanation:
240/600=0.4
0.4 = 40%
100%-40%=60%
Answer:
60%
Step-by-step explanation:
LETS MAKE IT INTO A FRACTION
FIRST LETS CALCULATE HOW MUCH SHE SPENT
=240/600
WE CAN SIMPLIFY BY DIVIDING THE EQUATION BY 10
=24/60
LETS DIVIDE BY 6
=4/10
DIVIDE BY 2
=2/5
NOW LETS CALCULATE HOW MUCH SHE HAS LEFT
THE EASIEST WAY IS TO SUBTRACT
5/5-2/5=3/5
3/5 IS ALSO EQUAL TO 60/100
SO KAREN HAS 60% OF HER MONEY LEFT
HOPE I HELPED
PLS MARK BRAINLIST
(DESPERATELY TRYING TO LEVEL UP)
✌
A woman bought a cup
of beans for 12 and sold it
for ₦15. What was her
percentage profit
Answer:
25 %Step-by-step explanation:
Given,
Cost price ( CP ) = 12
Selling price ( SP ) = 15
Since, CP < SP , she made a profit
Actual profit = SP - CP
plug the values
[tex] = 15 - 12[/tex]
Subtract the numbers
[tex] = 3[/tex]
Profit = 3
Now,
Profit percent = [tex] \frac{actual \: profit}{cost \: price} \times 100[/tex] %
Plug the values
[tex] = \frac{3}{12} \times 100[/tex] %
Calculate
[tex] = 25[/tex] %
Hope this helps...
Best regards!!
Answer:
25%
Step-by-step explanation:
Cost Price: ₦12
Selling Price: ₦15
Profit: ₦15 - ₦12 = ₦3
Profit Percentage = [tex]\frac{profit}{cost price}[/tex] × [tex]\frac{100}{1}[/tex]
Profit Percentage = [tex]\frac{3}{12}[/tex] × [tex]\frac{100}{1}[/tex]
Profit Percentage = [tex]\frac{1}{4}[/tex] × [tex]\frac{100}{1}[/tex] = 25%
Final Answer = 25%
with a y-intercept 10, x-intercept 2, and equation of axis of symmetry x-3=0
Answer: f(x) = -3x^2 + 3x - 2
Explain: x of vertex: [tex]x[/tex] = [tex](-\frac b{2}{a} )[/tex] = [tex]-\frac{3}{-6} = \frac{1}{2}[/tex]
y of vertex: y = [tex]f (\frac{1}{2} ) = - \frac{3}{4} + \frac{3}{2} -2=-\frac{5}{4}[/tex]
y-intercept: y = -2
x-intercept: y = 0
D = b[tex]^[/tex]^2 - 4ac = 9 - 24 = - 15 <0. There are no real roots (no x-intercepts) because D<0.
Since a <0, parabola opens downward. The parabola is below the x-axis
help me out with a and b
i Will give brainliest and follow you back if you answer first.
Answer:
Step-by-step explanation:
A = {2,8,10,14}
B= {6,8,20}
C={8,18,20,24}
A ∩ B --> intersection means elements that are in both sets A & B
A ∩ B = {8}
A∩ C = {8}
B ∩ C = {8 , 20}
A∩B ∩ C = {8}
First blue box = { 2,10, 14}
Second blue box = {18, 24}
First green box = { 8}
Second green box = { 20}
b) A ∩ B = {8}
n [ A ∩ B] = 1
Probability of the number to be a member of A∩B = 1 / 25
A paintball court charges an initial entrance fee plus a fixed price per ball. P represents the total price (in dollars) as a function of the number of balls used n P=0.80n+5.50 What is the price for 10 balls, not including the entrance fee?
Answer:
$8
Step-by-step explanation:
It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.
Answer:
$8
Step-by-step explanation:
The rectangular classroom is 36ft in length and 32 feet in with. The scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing? Explain your answer.
Answer:
72 inch²
Step-by-step explanation:
Rectangular classroom
Length=36ft
Width=32ft
scale drawing length = 9 inches
Scale drawing width=x
Ratio of the length to the scale drawing length = 36/9
Ratio of the width to the scale drawing width=32/x
To find x
36/9=32/x
Cross product
36x=32*9
x=288/36
=8
x=8
Area of a rectangle= length × width
Length=9 inches
Width=8 inches
Area of the rectangular classroom= 9 inches × 8 inches
=72 inch²
How many cubes are there . A - 26 B - 27 C - 28 D - 29 E - 30 or F - 31
Answer is 31 because you have to count the ones under and behind
Connie has saved up $15 to purchase a new CD from the local store. The sales tax in her county is 5% of the sticker price. Write an equation and solve it to determine the value of the highest priced CD Connie can purchase with her $15, including the sales tax. Round your answer to the nearest penny. (2 points) x − 0.05x = 15; x = $15.79 5x = 15; x = $3.00 x + 0.05x = 15; x = $14.29 0.5x = 15; x = $30
Answer:
[tex]x + 0.05x = 15[/tex], solution is $14.29
Step-by-step explanation:
We can create an equation for this scenario to try and solve it.
Assuming the cost of the CD is x, it’s sale tax will be 0.05x (as that is 5% of x, 0.05.)
We can write the equation in two ways:
[tex]x + 0.05x = 15[/tex] or [tex]1.05x = 15[/tex].
Assuming we take the second one (easier to work with), we can divide both sides by 1.05. The equation simplifies to x = 14.289... which rounds to x = 14.29.
Therefore, the equation is [tex]x + 0.05x = 15[/tex] and the solution is $14.29.
Hope this helped!
Answer:
x + 0.05x = 15; x = $14.29
Step-by-step explanation:
pls answer asap i need this answer quick plus the full explanation #4
Answer:
Her Verticle ramp support was 5.5 ft tall.
Step-by-step explanation:
In this type of question, you would need to use the saying "soh cah toa".
Soh Cah Toa is a saying that people use for Sin, Cosine, and tagent. Each of those mean
Sine: opposite/hypotenuse Cosine: Adjacent/hypotenuse and Tagent: Opposite/Adjacent
In this specific question to figure out how tall or high her support is or needs to be have to 20 degree angle off the ground, you will need to use Sin which is opposite over Hypotenuse or x/16
To find the answer in your calculator you would do:
Sin(20)=x/16
First thing you do is the get the x on one side by itself so you would multiply 16 on both sides giving you:
16 × Sin(20)= x
You would then follow to put Sin(20) in your calculator giving you 0.34202014332
After that you multiply that number by 16
5.47232229321
Rounding to the nearest tenth you get answer:
5.5
what is mode and range
Answer:
The mode is the number that occurred the most often. The range is the difference between the highest and lowest values.
Step-by-step explanation:
Answer:
Mode:The number whose repetaed the most is the set (there can be multiple)
Range: The largest number minus the smallest = The range
anyone know what to do here?
Answer:
Step-by-step explanation:
Let's solve your inequality step-by-step.
(-34)(x)≤12
Step 1: Simplify both sides of the inequality.
−34x≤12
Step 2: Multiply both sides by 4/(-3).
(4−3)*(−34x)≤(4−3)*(12)
x≥−16
Answer:
x≥−16
IM A MATH GOD
Find the product of all positive divisors of 288.
Answer:
The answer is 1.514571894×10^21.
Step-by-step explanation:
Here, the divisors of 288 are,
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288.
now, their product =1×2×3×4×6×8×9×12×16×18×24×32×36×48×72×96×144×288
=1.514571894×10^21.
is answer.
Hope it helps...
Answer:
Step-by-step explanation:
2 * 3 * 4 * 6 * 8 * 9 * 12 * 16* 18 * 24 * 32 * 36 * 48 * 96 * 144
Some teachers would include 288. I would not.
You can get the actual answer by using the calculator that came with your computer. An ordinary calculator will not work because the answer will come out in scientific notation.
657,366,253,849,018,368 is the answer.
Which equation represents a linear function?
x = 3
y = 16
y = -3x + 10
y = 3x2 + 1
Please help me!!
Answer:
y = 16 and y = -3x + 10Step-by-step explanation:
The equation of a linear function:
y = mx + b
m - slope
b - y-intercept
x = 3 - it's a vertical line. It's not equation of a linear function
y = 16 - it's a horizontal line. It's an equation of a linear function
where m = 0, b = 16
y = -3x + 10 - it's an equation of a linear function
where m = -3, b = 10
y = 3x² + 1 - it's a quadratic function ( x² ).
Answer:
y = 16 and y = -3x + 10
Step-by-step explanation:
hello
solve for n: 5n-14<1
Answer: n< 3
Step-by-step explanation:
5n - 14 < 1 . add 14 to both sides
5n -14 +14 < 1 + 14
5n +0 < 15
5n < 15 divide both sides by 5 .5n/5 = 15/5
n < 3
Kate opens a savings account with a deposit of $1250. After 2 years, she has
receives $112.50 in interest. What is the annual interest rate?
Answer:
4.5%
Step-by-step explanation:
Simple interest:
I = Prt
112.5 = 1250(r)(2)
1250r = 56.25
r = 0.045 = 4.5%
Answer: 4.5%