Step-by-step explanation:
2x⁴ = 9x²
2x⁴ - 9x² = 0
x²(2x² - 9) = 0
Either x² = 0 or 2x² - 9 = 0.
When x² = 0, x = 0.
When 2x² - 9 = 0, x² = 9/2, x = ± 3/√2.
Hence the solutions are
x = 0, x = 3/√2 and x = -3/√2.
Trigonometry, find the missing angle!
Answer:
46
Step-by-step explanation:
13.3 = H
9.2 = A
AH = cos
cos⁻¹(9.2÷13.3) = 46.23°
Answer:
[tex]\boxed {\boxed {\sf \angle z \approx 46 \textdegree}}[/tex]
Step-by-step explanation:
First, recall the three trigonometric ratios.
sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacent13.3 is the hypotenuse because it is opposite the right angle. 9.2 is the adjacent because it is next to angle z. We must use cosine.
hypotenuse= 13.3 adjacent= 9.2First, plug the values into the cosine ratio.
cos(z)=9.2/13.3Divide.
cos(z)=0.691729323Next, use the inverse of cosine because we are trying to solve for the angle.
z= cos⁻¹(0.691729323) z= 46.23284386Round to the nearest degree. The 2 in the tenth place tells us to leave the 6 in the ones place.
z≈46Angle z is about 46 degrees
What is the order from greatest to least distance jumped
Answer:
1st one
Step-by-step explanation:
i need help on this.
Answer:
7(2a - b)
Step-by-step explanation:
7 * 2a = 14a
7 * -b = -7b
What's 2x+3(4x-3)=8-3x show your work pls
Answer:
x=1
Step-by-step explanation:
Its x=1 because if we put the 1 as in x then it will be like 2(1)+3(4(1)-3)= 8-3(1)
2(1)+3(4(1)-3) is equal to 5
8-3(1) is equal to 5
5=5
so x is 1
Answer:
x=1
Step-by-step explanation:
Value of x
Can you help out again
Answer:
right angle I dont really no sorry
is 2 inches enough just asking lol
Answer:
usually not ngl.
Step-by-step explanation:
at least 4 inches is there minimum
Zachary is solving the following equation.
Three-fourths (x minus 8) = 12
Which is the best first step to begin to simplify the equation?
Multiply both sides of the equation by Three-fourths.
Divide both sides of the equation by Four-thirds.
Distribute Three-fourths over (x – 8).
Distribute Four-thirds over (x – 8).
Answer:
distribute 3/4 of x-8 would be the correct first step
Step-by-step explanation:
guy above me
A pair of shoes usually sells for $61. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, including tax?
Answer:
$45.26
Step-by-step explanation:
30% × 61 = 18.3
= $18.30 off, 61 - 18.3 = 42.7
6% × 42.7 = 2.562
= 42.7 + 2.562
= 45.26
Find the value of x.
Answer:
-9
Step-by-step explanation:
If (x-2) is a factor of xsquare+3x+5a find the value of a
Answer:
a = -2
Step-by-step explanation:
(x-2) (x+b) = x² + (b-2) x - 2b = x² + 3x + 5a
b-2 = 3
b = 5
5a = - 2b = - 10
a = -2
Tony rides his bike 12 miles in 1/4 of an hour. If he rides his bike for 1 hour. How far does he go?
Answer: 48 miles
Step-by-step explanation:
anybody help hahaha I don’t know how to do the distributive part
Answer:
1/9
Step-by-step explanation:
7n - 7 = -6 - 2n
7n + 2n = -6 + 7
9n = 1
n= 1/9
Which statement would result in figure ABCD being completely in quadrant four?
The ratio of the number of sheep to the number of horses on a farm is 8:3 if there are 42 horses on the farm, how many sheep are there on the farm?
Answer:
112 sheeps
Step-by-step explanation:
Sheep : Horses
8 : 3
Since horses has 3 units, it means that =
3 units = 42
1 unit = 42 ÷ 3 = 14
Find the units that sheeps have.
8 units = 14 x 8 = 112
Answer:
There will be 112 sheeps on the farm.
-
Step-by-step explanation:
▪You can solve using proportion!
[tex] \frac{8 \: sheep}{3 \: horses } = \frac{x}{42 \: horses} \\ \\ \frac{3x}{3} = \frac{336}{3} \\ \\ x = 112[/tex]
▪Happy To Help <3
pls help pls help help pls
Answer:
Approximate maximum height is 5 ft
[tex]h(\frac{18}{32} )= 5 \ ft[/tex]
Step-by-step explanation:
[tex]h(t)=-16t^{2} + 18t[/tex] ---------- (1)
Differentiate equation (1) w.r.t t and equate it to zero (in order to determine maxima)
[tex]h^{'}(t) = -32t+18[/tex]
[tex]0= -32t+18[/tex]
[tex]t=\frac{18}{32}[/tex]
Substitute this value in equation (1)
[tex]h(\frac{18}{32} )=-16(\frac{18}{32} )^{2} + 18(\frac{18}{32} )[/tex]
[tex]h(\frac{18}{32} )=-5+ 10[/tex]
[tex]h(\frac{18}{32} )= 5 \ ft[/tex]
You are selling subs to raise funds for a school field trip. You make a profit of $3.50 for each sub you sell. You have already sold 36 subs. How many more subs do you need to sell to raise at least $266?
Answer:
40 more subs
Step-by-step explanation: 3.50 x 36 = 126 266 - 126 = 140 140 / 3.50 = 40
The number of subs to sell are 40.
What is Arithmetic operations?Number juggling tasks are the essentials of math. Addition, subtraction, multiplication, and division are the most common fundamental operations applicable to relations. We use them almost constantly throughout the day. Every day, we use mathematical operations to calculate the company's total revenue and expenses, establish monthly or annual budgets, and measure distances.
Given total fund to raise = $266
profit on each = $3.50
total no. sold = 36 subs
cost of 36 subs = 36 × 3.50
cost of 36 subs = $126
price left to achieve $266 = 266 - 126 = $140
number of subs to be sold to get $140 = 140/3.50 = 40 subs
Therefore, 40 subs more to be sold.
Learn more about Arithmetic operations;
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n/2 + 0.6 =2
PLS HELP
First, subtract 0.6 from both sides of the numbers and then simplify
Then multiply all terms by the same value to eliminate fraction denominators which gives us 2.8
So, n = 2.8
Hope it helps!
what is The cube of the product of 3 and x
Answer: 9
Step-by-step explanation:
Gabriel picked 4/5 of a pound of berries. He divided them evenly among 8 containers. How many pounds of berries did Gabriel put in each container?
Answer: 4/40 or 1/10
Step-by-step explanation:
4/5 / 8 =
4/5 x 1/8 = 4/40 or 1/10
A decorative fence surrounds a rectangular flower garden that is 2 yards long and 3 yards wide. The area of the garden is increased by 20 % . If the width remains the same, what is the new length of the garden?
Answer:
30
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Step-by-step explanation:gfdgdfg
The area of the garden is increased by 20 % . If the width remains the same, then the new length of the garden is 2.4 yards.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that A decorative fence surrounds a rectangular flower garden that is 2 yards long and 3 yards wide
Area = Length × Width
Area=6 yards.
The area of the garden is increased by 20 % .
20/100=0.2
the area would equal 6 (l x w) and 6 increased by 20% equals 7.2.
As the width remains same
so we use 7.2/3 to find the new length
7.2/3=2.4 yards.
Hence, 2.4 yards is the new length of the garden.
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8x10^4 is how many times as large as 4x10^-5
Answer:
2 * 10⁹
Step-by-step explanation:
Solve for x:
9x – 7 = 5x + 21
Answer:
x=7
Step-by-step explanation:
add 7 to both sides
9x=5x+28
subtract 5x from both sides
4x=28
divide both sides by 4
x=7
Answer:
X=7
Step-by-step explanation:
So first you want x on one side so you so subtract 5x from both sides
Then your equation is 4x-7=21
Because you want x by itself, you add 7 to each side because of additive inverse
The equation is now 4x=28
The last step is to divide 4 from each side and that leaves us with 7
x=7
Please helpppp!!!!!!!
Answer:
read below
Step-by-step explanation:
If you know tangent of theta is 5/3 and it is in the 3rd quadrant, then you know the sides will be going in the negative direction and the real values of the sides would be -5/-3. You can use pythagorean theorem to figure out that the hypotenuse would be sqrt(5^2+3^2) = sqrt(34). Then you can use soh cah toa: sin = opp/hyp, cos=adj/hyp tan = opp/adj. You know that opp = -5, adj = -3, and hyp = sqrt(34) For cosine theta, it would be -3/sqrt(34) and csc is just 1/sin so csc would be hyp/opp = sqrt(34)/-5.
what is the domain of the function g(x)=3^x-1
a and b are integers such that ab = -45
a > b
a) What do you know about the values a and b?
Answer:
a) a is positive and b is negative
b) a = 3, b = -15.
Step-by-step explanation:
Inequalities and Equations:
We are given:
ab = -45
a > b
a) We don't know the values of a and b, but since their product is negative, there can be only two situations:
a is negative and b is positive
a is positive and b is negative
The condition a > b rules out the first situation, thus we are sure
a is positive and b is negative
b) Since a + b = -12 we can find the values of a and b. It can be done by solving a quadratic equation but we'll do it mentally.
We have to find two numbers whose sum is -12 and product is -45. It's not so hard to find the numbers are -15 and 3. Since a is positive and b is negative, the solution is
a = 3
b = -15
Can y’all help me find the length ?
Answer:
12
Step-by-step explanation:
32-20=12
(Correct me if i am wromg)
What could be predicted if Elisondra and her friends use the spinner to decide who orders first during 40 visits? Check all that apply.
A different person will order first every time.
Elisondra will order first approximately 10 times.
Diya will order first exactly 20 times.
The spinner will land on Elisondra’s section 40 times.
Each person will order first approximately the same number of times.
Answer:
B and E
Step-by-step explanation:
Got it right
Shannon is making a pile of square origami paper, whose sides are measured as 4n + 3. Form an expression that is equivalent to the perimeter of one sheet of the origami paper. Be sure to show the steps taken to produce your expression.
Answer:
16n+12
Step-by-step explanation:
If all four sides measure 4n+3, then the perimeter is 4 times the length of each side. 4(4n+3) = 16n + 12 = perimeter
Please help.
Henry is making a quilt using panels that are 2/3 foot by 2/3 foot. The quilt is 6 feet long and 4 2/3 feet wide. What is the area of the quilt?
Answer:
3 2/3 square feet.
Step-by-step explanation:
You just need to multiply 6 and 4 2/3. To do this you have to change both of them into improper fractions so 6 would be 21/3 and 4 2/3 would be 14/3. If you cross cancel the 21/3 will become 7/3 and the 14/3 will become 14/1. Now you have to multiply across and you should get 98/3. To change the improper fraction into a mixed number you have to divide 98 and 3 so you can get 3 2/3. Therefore, the answer to the area of the quilt is 3 2/3 square feet.
What are the coordinates of the point 3/5 of the way from A(-4,-4) to B(6,6)
Answer:
The coordinates of the point 3/5 of the way from A(-4,-4) to B(6,6) are (2, 2).
Step-by-step explanation:
Given the points
A(-4,-4)B(6,6)We need to find the coordinates of the point 3/5 of the way from A(-4,-4) to B(6,6).
Let P be the required point, then
AP : AB = 3 : 5
as
AB = AP + BPso
AP / AB = 3/5
AP / (AP + BP) = 3/5
5AP = 3(AP + BP)
5AP = 3AP + 3BP
2AP = 3BP
AP/BP = 3/2
AP : BP = 3 : 2
The formula of the coordinates of a point that divides the line joining the points (a, b) and (c, d) in the ratio m : n is:
[tex]\left(\frac{mc+na}{m+n},\:\frac{md+nb}{m+n}\right)[/tex]
For the given division,
m : n = 3 : 2
Thus, the coordinates of the point P are:
[tex]\left(\frac{3\left(6\right)+2\left(-4\right)}{3+2},\:\frac{3\left(6\right)+2\left(-4\right)}{3+2}\right)[/tex]
[tex]=\left(\frac{18-8}{5},\:\frac{18-8}{5}\right)[/tex]
[tex]=\left(\frac{10}{5},\:\frac{10}{5}\right)[/tex]
[tex]=\left(2,\:2\right)[/tex]
Therefore, the coordinates of the point 3/5 of the way from A(-4,-4) to B(6,6) are (2, 2).
