Answer:
y < (1/3)x + 2; y <= -2x + 2
Step-by-step explanation:
to find the system of linear inequalities you must first find the equations to the lines
for the dotted line the equation is
y = (1/3)x + 2
the equation that isnt a dotted lines equation is
y = -2x + 2
to find out which way the line is shaded we must plug in points
an easy way to do this is to start by putting 0, 0 into the equation
for the first one
0 ? 0 + 2
0 ? 2
the answer is <
because the line is dotted that means that the equation is just the less than symbol
then we can also plug in 0, 0 for the next equation
0 ? 0 + 2
0 ? 2
the answer is <=
this is because the line is not dotted
so the 2 equations are
y < (1/3)x + 2; y <= -2x + 2
Help! I’m confused and need help finding the answer!
Answer:
y=11x
Step-by-step explanation:
we use formula y2-y1/x2-x1 with 2 of the order pairs
22-11/2-1
11/1
11 is the slope
We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time
When x is zero y is zero so we write it like this
Y=11x
Hopes this helps please mark brainliest
On a truck, one windshield wiper blade is 80 centimeters long and is connected to a swing arm that is 90 centimeters long from the pivot point to the tip, as shown below. If the swing arm rotates the wiper blade is 120, what is the area of the windshield that is swept by the wiper blade? round your answer to the nearest tenth of a square centimeter
The area of the sector rounding to the nearest tenth is C. 8377.6 \(cm^2\).
What is law of cosines?The law of cosines is a formula used to find the length of a side or the measure of an angle in a non-right triangle (a triangle that does not have a 90-degree angle).
According to given information:
To find the area of the windshield swept by the wiper blade, we can consider it as a sector of a circle with radius equal to the length of the segment swept by the wiper blade. The length of this segment can be found using the law of cosines:
\(c^2 = a^2 + b^2 - 2ab cos(C)\)
where a and b are the lengths of the sides adjacent to the angle C, and c is the length of the side opposite to the angle C.
In this case, we have:
a = 80 cm (length of the wiper blade)
b = 90 cm (length of the swing arm)
C = 120 degrees (angle swept by the swing arm)
Substituting these values, we get:
\(c^2 = 80^2 + 90^2 - 2(80)(90)cos(120)\)
\(c^2\) ≈ \(20418\)
\(c\) ≈ \(142.8 cm\)
So the radius of the circle is approximately 142.8 cm. The central angle of the sector is 120 degrees, so its measure in radians is 2π/3. Therefore, the area of the sector is:
A = (1/2) * \(r^2\) * θ
A = (1/2) * \((142.8)^2\) *\((2\pi /3)\)
A ≈ 8377.6 \(cm^2\)
Rounding to the nearest tenth, we get the answer as C. 8377.6 \(cm^2\).
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Use the quadratic formula to solve the equation
25x^2-30x+25=0
Answer: \(x=\frac{3}{5}+i\frac{4}{5},\:x=\frac{3}{5}-i\frac{4}{5}\)
Step-by-step explanation:
\(25x^2-30x+25=0\)
\(x_{1,\:2}=\frac{-\left(-30\right)\pm \sqrt{\left(-30\right)^2-4\cdot \:25\cdot \:25}}{2\cdot \:25}\)
\(\sqrt{\left(-30\right)^2-4\cdot \:25\cdot \:25}\)
\(=\sqrt{30^2-4\cdot \:25\cdot \:25}\)
\(=\sqrt{30^2-2500}\)
\(=i\sqrt{2500-30^2}\)
\(=40i\)
\(x_{1,\:2}=\frac{-\left(-30\right)\pm \:40i}{2\cdot \:25}\)
\(x_1=\frac{-\left(-30\right)+40i}{2\cdot \:25},\:x_2=\frac{-\left(-30\right)-40i}{2\cdot \:25}\)
\(x=\frac{3}{5}+i\frac{4}{5},\:x=\frac{3}{5}-i\frac{4}{5}\)
4/ 27 to ten decimal place
The required value of 4/ 27 to tenth decimal places is 0.1.
To determine the 4/ 27 to the tenth decimal place.
Decimals is defined as one of the digits, which has a number and the fractional part separated by a decimal point after the whole number.
What is a recurring decimal?Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.
Here,
= 4 / 27
dividing 4 by 27
4/27 = 0.148148148148148
now round of the above digit to tenth decimal place means place after the decimal is tenth place. So,
= 0.1
Thus, the required value of 4/ 27 to tenth decimal place is 0.1.
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how long would it tak to go 75 miles if you can go 45 mph
SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
(5x 2 −9x+11)−(−2x 2 +3x−2=
Answer = -91
step by step explanation
Simplify.
2 - 4 x 3 + 6 x 3
• 0
• 12
• 8
• -28
Answer:
8
Step-by-step explanation:
Who can answer this question for me please
Answer:
B
Step-by-step explanation:
HELP!!! Last attempt
Answer:
x1=2. y1=0. x2=2. y2=6. please mark brainliest!
Answer:
So the question is
(2,0) (2,6)
Generallyit is (x1,y1) (x2,y2)
Hence
x1 = 2
x2 = 2
y1=0
y2=6
PLEASE TELL ME WHAT TO WRITE HERE :’))
Answer: (Answer in explanation)
Step-by-step explanation:
(12)B > 180
Her goal is to make more than 180 so if she wants to sell each book for $12 then so if she sells 14 books or above she would get more than $180.
So B could equal anything 16 and above but in my case I chose 24
(12)24 = 288 > 180
So write a equation like mine that equals a number that's greater than 180. Keep in mind each book sells for $12 each. Then solve for B which is how many books she has to sell to get the number greater than 180.
i need help
can you look over this picture and see what the answer is
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
PLLZZZZZZZZZZ!How much more money is earned on $3,000 invested at 4% interest compounded annually for 20 years than $3,000 invested at a simple interest rate of 4% for 20 years?
Answer:
$1,173.37 more with compound interest.
Step-by-step explanation:
Compound
3,000 * 1.04^20 = 6,573.37
Simple
3,000 * 1.80 = 5,400.00
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
What is a quadratic function (f) whose zeros are -2 and -11
Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.
What are quadratic equations explain?Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.
What are the ways to solve a quadratic equation?The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.
Now we have \(x1\)=2 \(x2\)=-11
then quadratic function will be
(x+2) (x+11)
\(x^2+2x+11x+22\)
\(x^2+13x +22\)
this is our required quadratic equation.
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Complete question is: Write a quadratic function f whose zeros are 2 and -13.
Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.
What are quadratic equations explain?Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.
What are the ways to solve a quadratic equation?The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.
Now we have x¹ = 2 x² = -11
then quadratic function will be
(x+2) (x+11)
x² + 2x + 11x + 22
x² + 13x + 22
This is our required quadratic equation.
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The complete question is-
Write a quadratic function f whose zeros are 2 and -13.
help :((
Provide a small explanation if possible!!
Answer:
r = 24
Step-by-step explanation:
Just reverse everything,
3 x 16 = 48,
48 ÷ 2 = 24,
to double-check,
if you plug in 24 for r then you have,
2(24)/3 = 16
48/3 = 16
16 = 16
Explain why the slope b of the least-squares line always has the same sign (positive or negative) as the sample correlation coefficient r. Choose the correct relationship between b and r, where sx and sy are the standard deviations of the x values and the y values, respectively.
a. b = 1/r(sx/sy)
b. b = r(sy/sx)
c. b = 1/r(sy/sx)
d. b = r(sx/sy)
Answer:
b = r(sy/sx)
Step-by-step explanation:
The sign of the slope Coefficient and the correlation are the same because both the slope and correlation Coefficient evaluates the changes in one variable with respect to the other . A decrease in y as x increases will result in a negative slope value and also a negative correlation Coefficient. While increase in x which results in the increase in y imvariable will result in a positive correlation Coefficient value and r value.
Slope, b = correlation Coefficient,r (Sy /Sx)
Sx = standard deviation of x values
Sy = standard deviation of Y Values
The perimeter of the rectangle below is 76 units. Find the value of y.
The solution is : the value of y is 7.
Here, we have,
The perimeter of a rectangle is found by
P = 2 (l+w)
P = 2( 3y+3+2y)
Combine like terms
P = 2(5y+3)
We know the perimeter is 76
76 = 2(5y+3)
Divide each side by 2
76/2 = 2/2(5y+3)
38 = 5y+3
Subtract 3 from each side
38-3 = 5y+3-3
35 = 5y
Divide each side by 5
35/5 = 5y/5
7 =y
We want the length of AD = BC = 2y
AD = 2y=2*y = 14
Hence, The solution is : the value of y is 7.
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Kim had 2 1/3 pounds of candy. Eric eats 2/5 of Kims candy. How much candy did Eric eat?
The quantity of candy that Eric ate would be = 14/15
How to calculate the quantity of candy eaten by Eric?The quantity of Candy Kim had = 2⅓ pounds.
The quantity of Kims candy that Eric ate = 2/5
That is 2/5 of 2⅓.
The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15
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Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Give the equation of the circle centered at the origin and passing through the point (0, 6).
The equation of circle is x² + y² = 36.
We have,
Center= (0, 0)
Passing point = (0, 6)
We know the equation of circle is
(x-h)² + (y-k)² = r²
where (h, k) be the center and r be the radius.
Now, the radius of circle is
= √(6-0)² + (0-0)²
= √36
= 6 unit
So, the equation of circle
(x-0)² + (y-0)² = 6²
x² + y² = 36
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Please Assist Me With This
Answer:
(16 - 8 × 2 ÷ 4 + 6) ÷ 3 = 6
Step-by-step explanation:
The given expression is (16 - 8 × 2 ÷ 4 + 6) ÷ 3
We will solve this expression by using BODMAS rule,
B - Bracket (Parenthesis)
O - Order (exponents)
D - Division
M - Multiplication
A - Addition
S - Subtraction
(16 - \(8^{1}\) × 2 ÷ 4 + 6) ÷ 3
We will solve the expression inside the parenthesis first followed up by the exponents,
(16 - \(8^{1}\) × 2 ÷ 4 + 6)
= (16 - 8 × 2 ÷ 4 + 6)
Then Divide,
= (16 - 8 × \(\frac{1}{2}\) + 6)
Then multiply,
= (16 - 4 + 6)
Further addition,
= (22 - 4 )
At last subtract,
= (18)
Now put the solution of the parentheses in the expression,
= (18) ÷ 3
= 6
Therefore, solution of the given expression will be 6.
-4 (x + 10) -6 = -3 (x-2)
Answer:
-52
Step-by-step explanation:
The table below shows the number of customers that come eat lunch at a local deli each week.
Week Number of customers
1 50
2 45
3 60
4 40
5 70
6 35
7 80
8 ?
Based on the information, how many customers should the deli expect to serve during week 8?
A.) 30
B.) 50
C.) 70
D.) 90
Answer: D 90
Step-by-step explanation: all you have to do is keep counting and youll find out! Have a nice day hope this helps. and thats it have a fantastic day and morning everyone stay focused and always beleave you can get things right Yahuah bless you!
To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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Which of the following is not necessarily true?
Answer:
A
Step-by-step explanation:
Mike was training for a marathon. On his first day, he ran 2.45 kilometers. On the second day, he ran 3.8 kilometers. How far did he run altogether?
Answer:
6.25 kilometers
Step-by-step explanation:
2.45km + 3.8km
= 6.25km
Answer: 6.25 Kilometers
Step-by-step explanation:
First, take 2.45 Kilometers from day one
Then take 3.8 Kilometers from day two
Now add them together for the result of
6.25 Kilometers
6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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In the diagram below BAC = 24 and AB = AC
If ABC = y. What is the value of y?
Answer:
Since AB = AC ....the angles opposite these sides are also equal...
So y = [ 180 - 24 ] / 2 = 156 / 2 = 78°
Step-by-step explanation:
Hope that helps, let me know if theres anything wrong with my answer
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