Answer:
We see two intersecting lines.
It means there is one solution, it is the intersection point.
Solution is (3, 4)
It was easy to find the solution as both lines and their intersection is visible on the graph.
With two parallel lines we would have no solutions and with overlapping lines we would have infinitely many solutions.
If you only have the equations of the lines you need to compare the slopes, if they are different it means lines are intersecting at one point hence one solution.
With same slopes and different y-intercepts there is no solution.
With same slopes and y-intercepts there is infinitely many solutions.
What is 3.055 rounded to the nearest hundredth
Answer:
3.06
Step-by-step explanation:
3 is in the ones place, then theres the decimal, the tenths place, and the hundredths place. When rounding, you must make the number larger when its 5 or over. So the answer is 3.06
Answer:
3.055 rounded to the nearest hundredth = 3.06
A football team won 16 games last year.
This
year the team won 20 games. What
is the
percent increase in the number of
games the team won from last year to this
year?
Answer:
they increased by 25%
Step-by-step explanation:
16/4 = 4. 16+4 = 20. Because of this, the number of wins increased by 4, or 1/4 of last year's wins. this means it increased by 25%.
the function f(x) and g(x) are graphed of the set of aces below. for which value of x is f(x)≠g(x)
Answer:
[tex]f(x)\neq g(x)[/tex]
[tex]when ~x=3[/tex]
[tex]So, the ~third~ option~is ~your~ answer[/tex]
-----------------------hope it helps...have a great day!!Which survey is most likely affected by bias
A) a server asking randomly selected bike riders if they wear a helmet or not.
B. a survey of supermarket shoppers about their favorite grocery store.
C. a survey of randomly selected students and teachers about the cell phone policy in their school district.
pls help due in like 2 hours lol
Answer:
Step-by-step explanation:
95+16x-4=-1+39x
91+16x=-1+39x
91+1=39x-16x
92=23x
92/23=x
4=x
SOMEONE PLEASE HELP ITS DUE TONIGHT
EXPLANATION = BRAINLIEST
Given:
Radius of the circle = 4 meters
Measure of arc = 135 degrees
To find:
The area of the sector bounded by the given arc.
Solution:
Formula for area of a sector is:
[tex]A=\pi r^2\times \dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius and [tex]\theta[/tex] is the central angle or measure of intercepted arc.
Putting [tex]r=4,\ \theta =135^\circ[/tex] in the above formula, we get
[tex]A=\pi \times (4)^2\times \dfrac{135^\circ}{360^\circ}[/tex]
[tex]A=\pi \times 16\times \dfrac{3}{8}[/tex]
[tex]A=\pi \times 2\times 3[/tex]
[tex]A=6\pi [/tex]
Therefore, the exact area of the given sector is [tex]6\pi [/tex] square meters.
Answer:
the answer is just 6π
Step-by-step explanation:
The sum of two numbers is 33 and thier difference is 2 find the number
Answer:
17.5 + 15.5
Step-by-step explanation:
17+ 15 = 32
.5 + .5 = 1
32 + 1 = 33
Answer:
15.5 and 17.5
Step-by-step explanation:
Let x and y be the two numbers
x+y = 33
x-y = 2
Add the two equations together
x+y = 33
x-y = 2
-----------------
2x = 35
Divide by 2
2x/2 = 35/2
x = 17.5
Substitute into
x+y = 33
17.5 +y = 33
y = 33-17.5
y = 15.5
The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the numbers?
Answer:
The numbers are 18, 13, and 72.
Step-by-step explanation:
Let the three numbers be represented by a, b, and c.
The sum of the three is 103. Thus, we can write that:
[tex]a+b+c=103[/tex]
The second number is five less than the first. So:
[tex]b=a-5[/tex]
And the third number is four times the first. So:
[tex]c=4a[/tex]
Substitute:
[tex]a+(a-5)+(4a)=103[/tex]
Solve for a. Combine like terms:
[tex]6a-5=103[/tex]
Add five to both sides:
[tex]6a=108[/tex]
And divide both sides by six. Therefore:
[tex]a=18[/tex]
So, the first number is 18.
Since the second number is five less than the first, the second number is 13.
And since the third number is four times the first, the third number is 72.
what is psychology?
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Step-by-step explanation:
X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Can someone help me out ASAP
I WILL GIVE OUT BRAINLY
Answer: area= 16.8 yds^2
perimeter=18.8 yds
Step-by-step explanation:
Answer:
Perimeter = 20.2876 yds and Area = 16.8 yds^2
Step-by-step explanation:
Hope this helps :).
There are 12 paintings at an
art show. Three of them are chosen randomly to
display in the gallery window. The order in which they are chosen does not
matter. How many ways are there to choose the paintings?
Answer:
220?
Step-by-step explanation:
The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle
Answer:
2*(5x+4) + 2*(3x+2)
= 10x + 8 + 6x + 2
= 16x + 10
The perimeter of the rectangle, in feet, is represented by (16x + 10)
Answer:
(16x + 12) ft
Step-by-step explanation:
Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2
Perimeter of the rectangle = (16x + 12) ft
can you help me figure to how to get the answer to this question
Answer:
Step-by-step explanation:
scale factor=3/2
(8,6)
(12,6)
(12,10)
use formula
(x,y)=(kx,ky) (k means scale factor)
(8,6)=(3/2*8 , 3/*6)
=(24/2 , 18/2)
=(12 , 9)
(12,6)=(3/2*12 , 3/2*6)
=(36/2 , 18/2)
=(18 , 9)
(12,10)=(3/2*12 , 3/2*10)
=(36/2 , 30/2)
=(18 , 15)
Answer:
18 ,15
Step-by-step explanation:
jwihehf
kkeje
kkejjehgo
ekke
Construct the 95% confidence interval estimate of the mean VAS score for patients given the magnet treatment. Find the Standard error and critical value. construct the 95% confidence interval estimate of the mean VAS score for patients given the sham treatment. You may do the shortcut.
Answer:
(3.442 ; 6.558)
Step-by-step explanation:
Given :
Mean score after patient is given the magnet treatment :
Mean score, xbar = 5
Standard deviation, s = 2.4
Sample size, n = 20
The confidence interval :
Mean ± margin of error
Margin of Error = Tcritical * standard error
The critical value at 95%, df = 20 - 1 = 19
Tcritical = 2.093 (T-student distribution)
The standard error = s/√n = 2.4 / √20 = 0.5367
The margin of error = 2.903 * 0.5367 = 1.558
The confidence interval :
Xbar ± Margin of error
5 ± 1.558
(3.442 ; 6.558)
I WILL GIVE BRAINLIEST HELPP PLS
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
a = a
b = 9
c = 15
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 9² = 15²Evaluate exponents: a² + 81 = 225[Subtraction Property of Equality] Subtract 81 on both sides: a² = 144[Equality Property] Square root both sides: a = 12HELPPPPPPPPPPPP!!!!!!!!!!!
Answer:
20^4
Step-by-step explanation:
2^4x10^4=160000
20^4=160000
If x = -5 and y = 2x^2,
then y = ? *
Answer:
x = -5
y = 2×^2
y = 2 x (-5 x -5)
= 2 x 25
y = 50
which function is graphed below?
Answer:
f(x) = sin(x)
Step-by-step explanation:
sin(x) = 0 for x = n×pi, n>=0
sin(x) = 1 for pi/2 and so on
so, clearly that graph is a pure sine wave.
1/4 + 3/4 =
Plz help
Answer:
its 1
Step-by-step explanation: i used a cacular for this
Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list. Enter your answers in terms of degrees. Round your answers to two decimal places.) (−3, −5), (2, 6), (6, 3)
Answer:
23.92°, 78.503°, and 77.577°
Step-by-step explanation:
The coordinates of the vertices of the triangle are;
X(-3, -5), Y(2, 6), Z(6, 3)
The vectors are;
z = [tex]\left \langle 2 - (-3), 6 - (-5) \right \rangle[/tex] = [tex]\left \langle 5, 11 \right \rangle[/tex]
y = [tex]\left \langle 6 - (-3), 3 - (-5) \right \rangle[/tex] = [tex]\left \langle 9, 8 \right \rangle[/tex]
x = [tex]\left \langle 2 - 6, 6 - 3 \right \rangle[/tex] = [tex]\left \langle -4, 3 \right \rangle[/tex]
[tex]cos (\alpha ) = \dfrac{z \cdot y}{\left | z \right | \times \left | y \right |}[/tex]
Therefore, we get;
[tex]cos (\alpha ) = \dfrac{5 \times 9 + 11 \times 8 }{\left | \sqrt{5^2 + 11^2} \right | \times \left | \sqrt{9^2 + 8^2} \right |} = \dfrac{133}{\sqrt{146} \times \sqrt{145} } \approx 0.91409[/tex]
α = arccos(0.91490) ≈ 23.92°
γ = The angle between -y and x
-y = [tex]\left \langle -9, -8 \right \rangle[/tex]
We get;
[tex]cos (\gamma) = \dfrac{-y \cdot x}{\left | -y \right | \times \left | x \right |}[/tex]
Therefore;
[tex]cos (\gamma) = \dfrac{-9 \times -4 + -8 \times 3 }{\left | \sqrt{(-9)^2 + (-8)^2} \right | \times \left | \sqrt{(-4)^2 + 3^2} \right |} = \dfrac{12}{\sqrt{145} \times \sqrt{25} } \approx 0.199309[/tex]
γ = arccos(0.199309) ≈ 78.503°
γ ≈ 78.503°
By angle sum property, β = 180° - (α + β)
β ≈ 180° - (23.92° + 78.503°) = 77.577°
β ≈ 77.577°
The interior angles are;
23.92°, 78.503°, and 77.577°
match each quadratic function given in factored from with its equivalent standard from listed on the left.
Help me please. I did the rest I just need f thank you
Answer:
None of these
Step-by-step explanation:
Corresponding, alternate interior, and same side interior angles only occur in a set of parallel lines. In figure f, none of the lines are parallel. Straight angles are defined as angles that make up one side of the line, or 180 degrees, and as the picture clearly shows, this is not the case.
Answer:
a.straight
b.corresponding
c.alternate interior
d.none of these
e.none of these
f.none of these
g.none of these
h.none of these
i.same side interior
Anthony owns a small business selling ice-cream. He knows that in the last week 7
customers paid cash, 40 customers used a debit card, and 32 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card or a credit card as a percent to the nearest whole number.
Answer:
91
Step-by-step explanation:
91
Which of the following equations has 4 as a possible value of z?
Answer:
a
Step-by-step explanation:
4 to the power of 4 is just 4x4 which equals 16
Pleaseeeeee graph the following
Answer:
Hope it helps...have a great day/nightWith the help of a conservation program, the number of
lions in a wildlife preserve increased from 25 to 40 over a short period of
time. What is the percentage increase in the number of lions? Round your
answer to the nearest tenth of a percent.
A) 15.0%
B) 37.5%
C) 60,0%
D) 62.5%
Answer:
b
Step-by-step explanation:
no clue just copied someone else tehehe
The sum of two polynomials is –yz2 - 322 – 4y + 4. If one of the polynomials is y - 4yz2 - 3, what is the other polynomial? 0 -2yz? – 4y + 7 01-2yz? – 3y + 1 0 -5yz2 + 3z2 – 3y + 1 03yz2 - 3z2 – 5y +7 Done Intro ok
.
Answer:
3yz² - 3z² - 5y + 7
Step-by-step explanation:
Sum of two polynomials = –yz² - 3z² – 4y + 4
One of the polynomial = y - 4yz²- 3
Find the other polynomial
The other polynomial = sum of the polynomials - one of the polynomial
= –yz² - 3z² – 4y + 4 - (y - 4yz² - 3)
= –yz² - 3z² – 4y + 4 - y + 4yz² + 3
= -yz² + 4yz² - 3z² - 4y - y + 4 + 3
= 3yz² - 3z² - 5y + 7
A. 0 -2yz?
B. – 4y + 7 01 - 2yz
C. – 3y + 1 0 -5yz² + 3z² – 3y + 1 D. 3yz² - 3z² – 5y + 7
Which of the following phases translate to the expression y+7
Answer:
what are the phrases to choose from?
Step-by-step explanation:
What is the volume of a cylinder with a height of 16.9 in and a base with a diameter of 9.6 in, to the nearest tenth of a cubic inch?
Answer: 1223.3in^3
the answer is straight from delta math, and rounded to the nearest tenth.