The variables (x, y) have the solution (1, -3) in the system of linear inequality
System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
In the question given
y ≥ -x + 2 ...eq(i)
y > -5x - 2 ...eq(ii)
Plotting this on a graphing calculator to find the point of intersection which will determine the solution of the graph;
The solutions to the variables (x, y) in the linear inequalities are (1 , -3)
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Which equation shows the proportional relationship in the table
The mass of a cleaning liquid in a bottle is 459 g.
The density of the liquid is 0.9 g/cm3.
How many ml of liquid are in the bottle?
Answer:
There's 413.1ml of liquid in the bottle
2x+4=12 Y=4x+12
Solve using substitution
Answer:
X=4 Y=28
Step-by-step explanation:
We have our two equations, 2x+4=12 and Y=4x+12
Solve for x of one of the equations so that the repeating (common) variable can be cancelled out.
Using 2x+4=12, we can solve for the x-value and replace it back into y.
2x+4=12
2x=8
x=4
We can replace our new x-value into the other equation, y=4x+12
y=4(4)+12
y=16+12
y=28
So x=4, and y=28
How to figure out the unit rate of 4/5 cup of lime juice for every 2 cups of yogurt what is the rate in cups of lime juice per cup of yogurt
Answer:
i think the answer is 2/5
Step-by-step explanation:
in the united states, about what percentage of people age 65 or older take at least five prescription medicines daily?
Approximately 50% percentage of people age 65 or older take at least five prescription medicines daily in the United States.
In the United States, approximately 50% percentage of people aged 65 or older take at least five prescription medicines daily. This figure is based on data from the Centers for Disease Control and Prevention (CDC) which track and analyze the health and healthcare of the US population. The CDC found that in 2015, those ages 65 or older reported taking an average of 14.7 prescriptions per person, which is an increase from the average of 13.7 prescriptions per person in 2010. Of those aged 65 or older, 50% reported taking at least five medications daily, while 25% reported taking at least 10 medications daily. The data also showed that seniors were more likely to take multiple medications if they had chronic conditions such as diabetes, high blood pressure, and heart disease. This highlights the importance of closely monitoring and managing medication use, especially among seniors, to ensure that their medications are appropriate and safe.
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Which of the following statements is true? (a) Recursion is always better than iteration (b) Recursion uses more memory compared to iteration (c) Recursion uses less memory compared to iteration (d) Iteration is always better and simpler than recursion
Recursion uses more memory compared to iteration because every time the recursive function is called the function call is stored in stack, The correct option is B
What is Recursion?Recursion is the process of defining a problem or the solution to a problem in terms of a simpler version of itself. There two types of recursion the first one is called direct recursion when the second is called indirect recursion.
Therefore recursion is a method of solving problem where the solution depends on solutions to smaller instances of the same problem.
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Hello All ! Please help asap
The help I need is in the images below !
Answer:
2nd option, [ An expected height of 150 centimeters when the femur has a length of 37.7 ]
Step-by-step explanation:
y is a scale for height
x is a scale for femur length
BUT, the difference between the 2nd and 4th answer is in the words "expected" and "actual."
The reason the correct answer includes the word "expected" is because we are looking at THE LINE OF BEST FIT that is plotted on the graph. This line represents what we expect based on the relationship between the two variables
The dots represent REAL DATA that has been recorded.
The function g is defined by g(x)= 5/x −bx^2+1, where b is a constant. Find b, if the graph of g passes through the point (−2,10).
Answer:
b = -2.875
Step-by-step explanation:
You want the value of b such that (-2, 10) is a point on the graph of g(x)= 5/x −bx²+1.
UnknownFill in the given values and solve for b.
g(-2) = 10
5/(-2) -b(-2)² +1 = 10
-2.5 -4b +1 = 10
-4b = 11.5
b = -11.5/4
b = -2.875
find the equation of a parabola whose vertex (0,0) axis yaxis ; passes through A(-1,1)
The equation of a parabola with vertex at (0, 0) and axis of symmetry along the y-axis is of the form y = ax^2. The parabola passes through the point (-1, 1), so we can set up the following equation:
y = a * x^2
1 = a * (-1)^2
Solving for a, we get a = 1. Therefore, the equation of the parabola is y = x^2.
Which of the following are equivalent fractions?
2 / 3 , 4/6
Answer: 1/2
Step-by-step explanation:
:D
what is 15x165 divided by 14
Answer: 176.79
Step-by-step explanation:
15 (165) / 14
15 times 165 = 2475
2475 / 14 = 176.785
Round up to 176.79
Tree integers are such that their GCD and LCM are 6 and 1080 respectively.If the first two numbers are 60 and 72, find the number
Answer:
The three integers are 30, 180, and 540.
Step-by-step explanation:
The greatest common divisor (GCD) of two numbers is the largest number that divides both numbers without a remainder. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.
In this case, we are given that the GCD and LCM of three integers are 6 and 1080, respectively. This means that the three integers must have a GCD of 6 and an LCM of 1080.
We are also given that the first two numbers are 60 and 72. The GCD of 60 and 72 is 12, which is not equal to 6. Therefore, these two numbers cannot be the first two integers.
To find the three integers, we need to find two numbers with a GCD of 6 and an LCM of 1080. One possible pair of numbers is 30 and 180, which have a GCD of 6 and an LCM of 180.
The third number must be a multiple of 6 and a factor of 1080. A possible value for the third number is 540, which is a multiple of 6 and a factor of 1080.
The three integers are 30, 180, and 540.
WHAT IS a^4 + b^4
Urgent!
The solution to the expression a⁴ + b⁴ is 641 when a = 2 and b = 5
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
a = 2
b = 5
Also, from the question, we have
a^4 + b^4
Express the exponents in the above expression properly
So, we have the following representation
a⁴ + b⁴
Substitute the known values in the above equation, so, we have the following representation
a⁴ + b⁴ = 2⁴ + 5⁴
Evaluate the exponents
'This gives
a⁴ + b⁴ = 16 +625
Evaluate the sum
'This gives
a⁴ + b⁴ = 641
Hence, the solution is 641
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Complete question
Given that a = 2 and b = 5
WHAT IS a^4 + b^4
You buy the following from Best Buy:
1 new Chromebook for $550, 1 wireless mouse for $20, 1 wireless keyboard for $20
What is the Subtotal: $
You use your Elite Members Best Buy credit card to save 6%, how much do you save: $
What is the new Subtotal: $
Sales tax is 5%: $
What is the total: $
t
Answer:
You buy the following from Best Buy:
1 new Chromebook for $550, 1 wireless mouse for $20, 1 wireless keyboard for $20
What is the Subtotal:
$550 + $20 + $20 = $590$590You use your Elite Members Best Buy credit card to save 6%, how much do you save:
$590 * 0.06 = $35.4$35.4What is the new Subtotal: $
$590 - $35.4 = $554.6$554.6Sales tax is 5%: $
$554.6 * 0.05 = $27.73$27.73What is the total: $
$554.6 + $27.73 = $582.33$582.33Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-34×3333333 and then the answer n×454 = x
[tex]34\times3333333=n[/tex]
[tex]34\times3333333=113333322(n)[/tex]
[tex]n\times454=x[/tex]
[tex]113333322(n)\times454=x[/tex]
[tex]113333322(n)\times454=51453328188(x)[/tex]
[tex]\fbox{x = 51453328188}[/tex]
The temperature at 8 a. M. I 3. 3°C. At 4 p. M. , the temperature i 7. 22°C. What i the change in temperature from 8 a. M. To 4 p. M. ? Enter the correct anwer in the box. Subtract to find the change in temperature
To calculate the change in temperature from 8 a. m. to 4 p. m., time we need to subtract the temperature at 8 a. m. from the temperature at 4 p. m. 7.22°C - 3.3°C = 4.92°C Therefore, the change in temperature from 8 a. m. to 4 p. m. is 4.92°C.
To calculate the change in temperature from 8 a. m. to 4 p. m., we need to subtract the temperature at 8 a. m. from the temperature at 4 p. m. The temperature at 8 a. m. was 3.3°C, and the temperature at 4 p. m. was 7.22°C. Subtracting 3.3°C from 7.22°C gives the change in temperature of 4.92°C. To calculate the change in temperature from 8 a. m. to 4 p. m., we need to subtract the temperature at 8 a. m. from the temperature at 4 p. m. 7.22°C - 3.3°C = 4.92°C This means that the temperature increased by 4.92°C from 8 a. m. to 4 p. m. by time . The answer to the question is 4.92°C.
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Systolic blood pressure readings are normally distributed with a mean of 121 and a standard deviation of 15.
Find the z-score to the nearest tenth for the following blood pressure readings.
a. 142 _____ANSWER HERE_
b. 130 _____ANSWER HERE_
c. 103 _____ANSWER HERE_
The z-score to the nearest tenth for the following blood pressure readings is 45.14%.
What is blood pressure ?
The force of moving blood exerted on the walls of blood arteries is known as blood pressure. The heart's action of pumping blood through the circulatory system is mostly responsible for this pressure. The pressure in the major arteries is meant when the word "blood pressure" is used without qualifier.
As the data is normally distributed we can use standard normal z table to estimate the answers.
Z = (x-mean)/s.d
Given mean = 121.
S.d = 15.
P(X<142).
Z = (142-121)/15 = 1.4
From z table,
P(z<1.8) = 0.9641 ~ 96.41%
P(X>130).
Z = (130-121)/15 = 0.6
From z table,
P(z>0.6) = 0.8849
P(112<X<130) = P(X<130)-P(X<112).
P(X<130).
Z = (130-121)/15 = 0.6
From z table,
P(z<0.6) = 0.7257
P(X<112).
Z = (112-121)/15 = -0.6
From z table,
P(z<-0.6) =0.2743
Required answer is 0.7257-0.2743 = 0.4514 ~ 45.14%
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Solve for x. Round to the nearest tenth.
X
21 27
The value of x for the given figure will be equal to √212.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Apply the Pythagorean theorem for the first triangle,
H² = x² - 6²
Apply the Pythagorean theorem for the second triangle,
B² = 27² - x²
Apply the Pythagorean theorem to the third triangle,
H² = 27² - x² - 21²
H² = -x² + 288
x² - 6² = -x² + 288
2x² = 424
x² = 212
x=√212
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What is the eighth value in the sequence 768, 384, 192, 96, ...?
Answer:
6
Step-by-step explanation:
Examine this sequence. What are the relations of these values?
Every time you increase 1 term in the sequence, divide by 2.
768/2 = 384
384/2 = 192
etc.
Write a geometric sequence formula.
[tex]a_n = a*r^(^n^-^1^)[/tex]
A is the starting value (768), and r is the common ratio, or what the value is being multiplied by to get the next term. N is the term, where you can plug it in. For the eighth value, plug in 8 for n.
768 * ? = 384
1/2
r = 1/2
[tex]a_n = 768 * 1/2^(^n^-^1^)[/tex]
For finding the eighth value, plug in 8 for n.'
[tex]768 * 1/2^(^8^-^1^)[/tex]
[tex]768 * 1/2^7[/tex]
768 * 0.0078125
6
suppose it takes you 1414 hour to drive to the movie theater at a rate of 40 mph. your friend lives closer to the movie theater than you do. which inequality represents the distance d, in miles, that your friend lives from the movie theater?
Answer:
Step-by-step explanation:
xdd
xddd
xdd
xd
xddd
Jack and Anjali each improved their yards by planting hostas and geraniums. They bought their supplies from the same nursery. Jack spent $138 on 6 hostas and 6 geraniums. Anjali spent $116 on 6 hostas and 4 geraniums. Find the cost of one geranium
Answer:
11$
Step-by-step explanation:
We will use simultaneous equation
X = hostas
Y = geraniums
6X + 6Y = 138 ----> (first equation)
6X + 4Y = 116 -----> (second equation)
(Substract)
6X + 6Y = 138
6X + 4Y = 116
2Y = 22
Y = 22/2
Y = 11$
I hope my answer helps you.
Write an equation to represent this scenerio
You are about to take a major assessment, and each question is one two types. Multiple-choice questions are worth 2 points each, and short-response questions are worth 4 points each. The assessment is worth 100 total points. Let x represent the number of multiple-choice questions, and let y represent the number of short-response questions.
The equation to represent this scenario is 2x+4y = 100
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
The worth of x number of multiple-choice questions = 2x
The worth of y number of short-response questions = 4y
Assessment is worth 100 total points.
So, the equation to represent this scenario is 2x+4y = 100
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Find the measure of <1
A. 30 degree
B. 122 degree
C. 92 degree
D. 58 degree
Help!!!
(Picture is provided)
Answer: D. 58 degree
Step-by-step explanation:
A triangle has a total of 180 degrees
92 + 30 = 122 degree
180 - 122 = 58 degree
So, the answer is D. 58 degree
a dog of this breed weighs 52 pounds. what is the dog's z-score? round your answer to the nearest hundredth as needed. z
The z score of a dog of this breed weighs 52 pounds is 0.571. The weight of the dog if z is -0.35 is 45.55 kg. The weight of the dog if z is 0.35 is 50.45 kg.
A z score refers to a numerical measurement that defines a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.
The z score is given by:
z = (x - µ)/σ
where x is the raw score, µ is the mean, and σ is the standard deviation.
In the given case,
x = 52 pounds
µ = 48 pounds
σ = 7 pounds
Hence,
z = (52 - 48)/7 = 0.571
If z = -0.35
Then
-0.35 = (x - 48)/7
x - 48 = -2.45
x = 45.55 kg
Hence, the weight of the dog if z is -0.35 is 45.55 kg.
If z = 0.35
Then
0.35 = (x - 48)/7
x - 48 = 2.45
x = 50.45 kg
Hence, the weight of the dog if z is 0.35 is 50.45 kg.
Note: The question is incomplete. The complete question probably is: The weights of a certain dog breed are approximately normally distributed with a mean of 48 pounds, and a standard deviation of 7 pounds. A dog of this breed weighs 52 pounds. What is the dog's z-score? Round your answer to the nearest hundredth as needed. A dog has a z-score of -0.35. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds A dog has a z-score of 0.35. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds
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a girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec(the height stays constant). how fast she let out the string when 500 ft of string has been let out?
The 20 ft/sec is the timing of the string when 500 ft of string has been let out for the kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec.
Let dd be the real distance among the kite and the female, vv be the vertical distance among the female and the kite, and hh horizontal distance. Since the vertical distance is a constant (v = 300v=300) we understand that:
v^2 + h^2 = d^2 quad Rightarrow quad 300^2 + h^2 = d^2v 2 +h 2 =d 2 ⇒300 2 +h 2 =d 2
wherein dd and hh are capabilities of time tt, this means that that:
2hdfrac = 2ddfrac2h dtdh =2d dtdd
Since the vertical distance is v=300v=300, and the real distance is d = 500d=500, we understand that:
300^2 + h^2 = 500^2 quad h = sqrt = 400300 2 +h 2 =500 2 ⇒h= 500 2 −300 2 =four hundred
We're inquisitive about the price of extrade of the real distance dd so we have:
begin color dfrac &= dfrac cdot h cdot dfrac = dfrac cdot four hundred cdot 25 = color 20 text enddtdd = d1 ⋅h⋅ dtdh = 5001 ⋅four hundred⋅25=20 ft/sec
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In 2015, a salesman was paid a basic monthly salary of rs 28 000. At the end of the year, he was also paid a bonus of 7 % of the value of the sales that he had made during the year. His total income for that year was Rs 441 000. Calculate the value of the sales that he made that year
Answer:
1,500,000
Step-by-step explanation:
Let's assume the value of sales that the salesman made during the year to be x.
The bonus that he received at the end of the year is 7% of the value of the sales he made. So, his bonus would be 0.07x.
Therefore, his total income for the year is his basic monthly salary plus the bonus he received. We know that his total income was Rs 441,000. Hence, we can write:
28,000 * 12 + 0.07x = 441,000
Simplifying this equation:
336,000 + 0.07x = 441,000
0.07x = 105,000
x = 1,500,000
Therefore, the value of the sales that the salesman made during the year was Rs 1,500,000.
let x as the total sales
441 000 = 12(28 000) + 0.07x
441 000 = 336 000 + 0.07x
441 000 - 336 000 = 336 000 - 336 000 + 0.07x
105 000 = .07x
x = 1 500 000
CHECKING:
12 * 28 000 = 336 000 (12 months salary)
0.07(1 500 000) = 105 000 (total sales)
336 000 + 105 000 = 441 000
Therefore, salesman total sales for the whole year is RS 1 500 000.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-3x - 7 = 20 Solve for x please i have a 6.3 in math
Answer: x = 9 (I think)
Step-by-step explanation:
3x - 7 + 7 = 3x
20 + 7 = 27
3x = 27
3x ÷ 3 = x
27 ÷ 3 = 9
x = 9
solve the given initial-value problem. the de is homogeneous. xy2 dy dx = y3 − x3, y(1) = 2
Answer: The differential equations is
y3 3x3logx = 8x3.
Step-by-step explanation:
break the given original- value problem. The DE is homogeneous. xy2dy/ dx = y3- x3; y( 1) = 2.
result
Given a homogenous discriminational equation, xy2 dy/ dx = y3- x3
xy2dy/ dx = y3- x3
dy/ dx = ( y3- x3)/ xy2
dy/ dx = (( y/ x) 3- 1)/( y2/ x2)---( 1)
Put y/ x = v ⇒ y = xv
separatew.r.t x
dy/ dx = x.dv/ dx v
Equation( 1) becomes,
⇒ dv/ dx v = ( v3- 1)/ v2
⇒ dv/ dx = (( v3- 1)/ v2)- v
⇒ dv/ dx = ( v3- 1- v3)/ v2
v2. dv = -1/x.dx
Integrate on both sides, we get
∫ v2. dv = ∫- 1/x.dx
v3/ 3 = - logx C
1/3( y3/ x3)) log x = C( 2)
Now, given that y( 1) = 2
Substituting y = 2 and x = 1 in equation( 2)
(1/3) ×(23/13)) log 1 = C
C = 8/3
From equation( 2), we get
⇒( y3/ 3x3) logx = 8/3
thus, the needed differential equation is y3 3x3logx = 8x3.
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a scoop of premium ice cream has 5 grams of protein, 21 grams of carbohydrate, and 22 grams of fat. how many total calories will this provide? a. 48 calories b. 100 calories c. 192 calories d. 302 calories
The total calories from the ice cream are 302 kcal when a scoop of quality ice cream has 5 grams of protein, 21 grams of carbohydrate, and 22 grams of fat.
What is nutrition ?A vital component of wellbeing and growth is nutrition. Strengthened immune systems, safer pregnancies and deliveries, a decreased risk of non-communicable diseases, and longer life spans are all associated with better nutrition. Healthy kids learn more effectively.
calculation
Since we know that every gram of protein includes 4 kcal, 5 g will have 5 × 4 = 20 kcal.
According to our knowledge, each gram of carbohydrate carries 4 kcal, so 21g will contain 21 x 4 = 84 kcal.
Given that each gram of fat has 9 calories, 22 grams will have a caloric value of 22 x 9 = 198 calories.
20 + 84 + 198 = 302 kcal are the total calories from the ice cream.
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What does the missing number equal to?
The missing number is equal to 42
Let the missing number be 'x'
Therefore, we have the equation as
[tex]\frac{2}{35} = \frac{1}{30} + \frac{1}{x}[/tex]
Solving this equation further, we have
[tex]\frac{1}{x} = \frac{2}{35} - \frac{1}{30}[/tex]
Taking L.C.M. on R.H.S. side, we have
[tex]\frac{1}{x} = \frac{(2)(30) - (1)(35)}{(30)(35)}[/tex]
[tex]\frac{1}{x} = \frac{60 - 35}{1050}[/tex]
[tex]\frac{1}{x} = \frac{25}{1050}[/tex]
[tex]\frac{1}{x} = \frac{1}{42}[/tex]
On cross multiplying this equation, we get
[tex]x = 42[/tex]
Therefore, we can say that the missing number is equal to 42.
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