Answer:
x = 1, y = 1
x = 2, y = 4
Step-by-step explanation:
substitution method:
x² = 3x - 2
x² - 3x + 2 = 0
(x - 2)(x - 1) = 0
x = 2
x = 1
HELPPPPPPPPPPPPPP MEHHHHHHHHHHHH I HAVE A D+ AND GRADE GO OUT THIS FRIDAY PLZZZZZZZZZ HELPPPPPPPPPPP
Which one of these equations has one solution, and which has no solutions? (Math)
One solution means that x will only equal one number.
Many solutions means that no matter what number you replace x with, the equation will still be true.
No solution means that no matter what number you replace x with, the equation will be false, as both sides will not match.
One solution: x - 2 = 12
Check: Isolate the variable, x. Add 2 to both sides. Note the equal sign, what you do to one side, you do to the other:
x - 2 (+2) = 12 (+2)
x = 12 + 2
x = 14
Many solution: x + 3 = 3 + x
Check: Plug in numbers for x. If no matter what number you plug in, the equation is true, there is infinite amount of solutions:
If x = 1:
1 + 3 = 3 + 1
4 = 4
If x = 2:
2 + 3 = 3 + 2
5 = 5
etc.
No solution: x - 1 = x + 5
Check: No matter what number you plug in for x, both sides of the equation will not match. Check:
If x = 1:
1 - 1 = 1 + 5
0 ≠ 6
If x = 2:
1 - 2 = 2 + 5
-1 ≠ 7
etc.
~
I need to know is One percent is greater than zero percent
Answer:
yes 1% is greater than 0% because 0 is nothing and 1 will always be greater than 0 unless there is something i dont know about UwU
Step-by-step explanation:
Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume?
Answer: All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.
Step-by-step explanation:
Using the standard normal table, the probability that Seth’s light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about
Answer:
How many standard deviations above the mean is 14,500 hours? 1.25 1.5 2.5 Using the standard normal table, the probability that Seth's light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about ✔ 89% .
Answer:
89%
Step-by-step explanation:
brainliest please
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping. 2/3 of the caramel apples are covered with peanuts. 1/5 are covered with chocolate chips. 1/10 are covered with coconuts
The rest are covered with sprinkles. How many caramel apples are covered with sprinkles?
Answer:
Step-by-step explanation:
Two stakes are holding a small blimp in place. Stake A measures
an angle of elevation of 49° and Stake B measures an angle of
elevation of 58º. If the string attached to Stake A has a length of
148 feet, what is the length of the string attached to Stake B?
Answer: 131.7 ft
Step-by-step explanation: use 148 as side measure b, then solve for measure of side a
with two given angles and one given side, use law of sines.
a = b•sin(A)/sin(B) = 131.71071
c = b•sin(C)/sin(B) = 166.89278
if you want to find angle measures:
180-A-B
180-49-58=73
C=73
The length of the string attached to stake B is 166.3 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
An angle of elevation of stake A = 49°
The length of the string attached to stake A,a = 148 feet
An angle of elevation of stake B = 58°
Let the length of the string attached to stake B be b.
Then by law of sines,
[tex]\frac{Sine A}{a}=\frac{Sine B}{b}[/tex]
On substituting the above values,
⇒ [tex]\frac{Sine 49}{148}=\frac{Sine 58}{b}[/tex]
⇒ [tex]b=\frac{(Sine 58)(148)}{Sine49}[/tex]
⇒ [tex]b=\frac{(0.8480)(148)}{0.7547}[/tex]
⇒ [tex]b=166.29[/tex] ≈ [tex]166.3[/tex]
Hence we can conclude that the length of the string attached to stake B is 166.3 feet.
Learn more about trigonometry here
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Please help. Will give Brainliest!!
Answer:
a = [tex]\frac{2}{3}[/tex] [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2}{3a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
3a = 2[tex]\sqrt{2}[/tex] ( divide both sides by 3 )
a = [tex]\frac{2}{3}[/tex] [tex]\sqrt{2}[/tex]
Answer:
we have
sin 45=perpendicular/hypotenuse
1/√2=2/3a
3a=2√2
a=2√2/3=0.94
Use a periodic table to calculate the applicable molar mass. Density of water is 1kg/1L.
A solution was made with 300 grams of (C3H5OH) and 500 grams of water.
What is the molarity of this solution?
Question 2 options:
0.19
0.81
10.33M
19 M
Answer:
What is the molarity of this solution is 0.81
Step-by-step explanation:
Answer option B) 0.81.
Condense logarithmic equation
Answer:
logm^3
Step-by-step explanation:
logm^5-logm^2
logm^5/m^2
log(m^5-2)
logm^3
The area of the base (B) of a shipping box is 14 1 2 in2. The height (h) of the box is 2 1 4 in. When determining the volume of the box, which statements are correct?
Answer:
[tex]V = 32\frac{5}{8}in^3[/tex]
Step-by-step explanation:
Given
[tex]B = 14\frac{1}{2}in^2[/tex] --- Base Area
[tex]h = 2\frac{1}{4}in[/tex] --- Height
Required
Correct statement to calculate the volume of the box.
No options were given. So, the general explanation is as follows.
Given the base area and the height of the box, the volume is calculated by multiplying the given base area and the height.
So, we have:
[tex]Volume (V) = Base\ Area * Height[/tex]
[tex]V = B *h[/tex]
[tex]V = 14\frac{1}{2} * 2\frac{1}{4}[/tex]
Convert to improper fractions
[tex]V = \frac{29}{2} * \frac{9}{4}[/tex]
[tex]V = \frac{29*9}{2*4}[/tex]
[tex]V = \frac{261}{8}[/tex]
[tex]V = 32\frac{5}{8}in^3[/tex]
Two different right cones are being considered by a design team to hold one liter (1000
cubic centimeters) of oil. Design A has a height that is double the diameter of the base.
Design B has a height that is triple the diameter of the base. Which design has a smaller
surface area? What percent less is that surface area?
Answer:
The surface area of Design A is smaller than the surface area of Design B.
The area of Design A is 94.65% of the Design B.
Step-by-step explanation:
The area of a right cone is given by the sum of the circle area of the base and the lateral area:
[tex] A = \pi r^{2} + \pi rL [/tex] (1)
Where:
r: is the radius
L: is the slant height
The slant height is related to the height and to the radius by Pitagoras:
[tex] L^{2} = H^{2} + r^{2} [/tex]
[tex] L = \sqrt{H^{2} + r^{2}} [/tex] (2)
By entering equation (2) into (1) we have:
[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]
Now, let's find the area of the two cases.
Design A: height that is double the diameter of the base, H= 2D = 4r
[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]
The volume of the cone is:
[tex]V = \frac{1}{3}\pi r^{2}H[/tex]
We can find "r":
[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]
[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]
The area is:
[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]
Design B: height that is triple the diameter of the base, H = 3D = 6r
The radius is:
[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]
The area is:
[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]
Hence, the surface area of Design A is smaller than the surface area of Design B.
The percent of the surface area of Design A is less than Design B by:
[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]
Therefore, the area of Design A is 94.65% of the Design B.
I hope it helps you!
find the product of 8(4/7-/18)
Answer:
keep it simple C
Step-by-step explanation:
Sabendo que 12 é raíz de p(x)=x²–mx+6 determine o valor de m A)25 B)2 C)14 D)12,5 E)7,5
Answer:
b
Step-by-step explanation:
Evaluate F (-5) and f(2) without a calculator 
Answer:
f(x) = 3x2 + 5 and y = 3x2 + 5
Step-by-step explanation:
The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.
HELP PLEASE HELPPPPPP MEEE WITH THISSS
9514 1404 393
Answer:
CEFA
Step-by-step explanation:
The perimeter is twice the sum of the side lengths.
P = 2(L+W)
__
1) P = 2(2x +(3x+2)) = 2(5x +2) = 10x +4 . . . . . letter C
2) P = 2((4x+1) +x) = 2(5x +1) = 10x +2 . . . . . . . letter E
3) P = 2(7 +(x+5)) = 2(x +12) = 2x +24 . . . . . . . letter F
4) P = 2(5 +(4x-3)) = 2(4x +2) = 8x +4 . . . . . . . letter A
The code word is CEFA.
What is the area of the square?
5 cm
200 cm?
O 100 cm
O 25cm
2
O 60cm
I need how you did it too
Answer:
100cm^2
Step-by-step explanation:
5×2=10 which is one side
base×height=area
10×10=100
Which geometric term best describes each figure
Answer:
Parallel lines
Step-by-step explanation:
parallel lines are lines that dont touch
PLEASE HELP ASAP f(x) = x2 What is g(x)?
O A. g(x) = (4x)2
O B. g(x) = 1/4x2
O c. g(x) = 4x²
O D. g(x) = 16x²
Answer:
c. g(x) = 4x^2
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.
We can then look and see that g(1) = 4 as shown by the point given to us on the graph.
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like
4(1)^2.
1^2 = 1, and 4(1) = 4,
so g(1) = 4. and our point is (1,4).
This is the same as the graph so this is the CORRECT answer.
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.
Option D:
once we plug in 1 for x, our equation looks like
16(1)^2
1^2 = 1, and 16(1) = 16,
so g(1) = 16. and our point is (1,16).
This is different than the graph so this is the WRONG answer.
3x+-2y=-6
5x-2y=7
how do i solve this Elimination pls
Answer:
[tex]x=\frac{13}{2}, y=\frac{51}{4}[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\3x-2y=-6\\5x-2y=7\\Considering\ this\ system\ of\ equations,\\Let\ 3x-2y=-6\ be\ E_1\\Let\ 5x-2y=7\ be\ E_2,\\Hence,\\Multiplying\ E2\ with\ -1, we\ get:\\3x-2y=-6\\-1(5x-2y)=7*-1\\Hence,\\3x-2y=-6\\-5x+2y=-7\\Now,\\Lets\ add\ E_1\ and\ E_2\ together\\Hence,\\(3x-2y)+(-5x+2y)=(-6)+(-7)\\Hence,\\3x-2y-5x+2y=-13\\Arranging\ And\ Adding\ Like\ terms,\ we\ have:\\3x-5x-2y+2y=-13\\Hence,\\-2x+0y=-13\\-2x=-13\\x=\frac{-13}{-2}=\frac{13}{2}[/tex]
[tex]Now,\ we\ can\ substitute\ x=\frac{13}{2}\ in\ E_1\ or\ E_2,\\But,\\Here,\ we'll\ substitute\ it\ in\ E1,\\Hence,\\Substituting\ x=\frac{13}{2}\ in\ E1,\ we\ have:\\3*\frac{13}{2}-2y=-6\\\frac{39}{2}-2y=-6\\-2y=-6- \frac{39}{2}\\-2y=\frac{-12-39}{2}\\-2y=\frac{-51}{2}\\y=\frac{-51}{2*-2}=\frac{51}{4}\\Hence,\\x=\frac{13}{2}, y=\frac{51}{4}[/tex]
Write an equation for the line in slope-intercept
form.
Answer:
y = 2x + 3
Step-by-step explanation:
Solve for y.
2 (y + 3) = 5y
Answer:
y=2
Step-by-step explanation:
Answer:2
Step-by-step explanation:i got it right thats all i know.can i get a branliest at least please.
The vertices of trapezoid ABCD are A(3,-2), B(7,-2), C(8,- 7), and D(1, - 7). Graph ABCD and
A'B'C'D', its image after a reflection across the x-axis.
Answer:
B
Step-by-step explanation:
When reflecting a figure over the x-axis, flip the sign of the y-coordinates for the vertices.
For this figure, trapezoid ABCD, the vertices are:
A (3, -2)
B (7, -2)
C (8, -7)
D (1, -7)
Flipping the signs of the y-coordinates gives us:
A (3, 2)
B (7, 2)
C (8, 7)
D (1, 7)
The only graph that has trapezoid A'B'C'D' with vertices matching these four values is the graph for B, so the answer is B.
A rectangular painting measures 1/2 yards wide and 5/4 yards long find the area of the painting in square yards.
Answer: 5/8 yards²
Step-by-step explanation:
The painting is in the shape of a rectangle as stated and the formula for finding the are of a rectangle is:
= Length * Width
The are of the rectangular painting is:
= 5/4 * 1/2
= 5/8 yards²
Witten in decimal form:
= 0.625 yards²
HELP pleaseeeeeeeeeeeee
Answer:
305 ft :)
Step-by-step explanation:
Find the
3 m
Diameter=
Circumference =
Area =
Answer:
Answers below
Step-by-step explanation:
Radius = 3m
Diameter:
d = 2r
d = 2(3m)
d = 6m
Circumference:
c = 2πr
c = 2π(3m)
c = 6π m
c = 18.85 m
Area:
A = 2πr^2
A = 2π(3m)^2
A = 18π m^2
A = 56.55 m^2
Please mark brainliest if this helped
Please mark brainliest if this helped
A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number
Answer:
20400
Step-by-step explanation:
A plane flies 220 miles in an hour with the jet stream. The return flight against the jet stream to the the original hangar takes 2
hours. Which system of linear equations can be used to find the rate of the jet stream and the speed of the plane?
A)
x + y - 440
x - y - 110
B)
x + y = 220
x-y-110
9.
x + y = 220
x+y=110
D)
x + y = 220
x - y = 220
Answer:
B
Step-by-step explanation:
PLS
HELP
ILL
GIVE
MORE
IF
ITS
RIGHT
Answer:
hello its me again and im trying to help you kid
Step-by-step explanation:
The answer to ur question is b
Please help I’ll give brainliest
Answer:
its £91 - £27.30 = £63.70
Step-by-step explanation:
£63.70 is how much she will pay