Answer:
a) not proportional
b) proportional; k = \(-\frac{3}{5}\)
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
Pls help meeee the question is in the photo pls no links or fake answers pls answer both questions
Answer:
Step-by-step explanation:
First one is TRUE...you'd multiply by negative one third
Second is FALSE...no multiplication needed to get x as a positive.
12 yd/min =________ft/s
Answer:
you need yarn
Step-by-step explanation:
3fts times 12 is equal to=kuha ka calculator
Answer: 12 yd/min = 0.6 ft/seconds.
Because: 36/60 = 36 1/60 = 6 1/10 = 3/5 = 0.6
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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What is the value of g(-4)?
See image
Answer:
Step-by-step explanation:
\(\lim_{8x \to \infty} 9_y=10\)
55
3. Patrick paid $20 for 5 peaches. How much did he pay per peach? Show
your work!
Answer:
Step-by-step explanation:
LA EDUCACION ES IMPIRTANTE YA QUE PROMUEVE UN MEJOR DESARROLLO DE LOS NIÑOS,NIÑAS Y ADOLESCENTES QUE LOS HACE FOMENTAR UN VINCULO MUY ESPECIAL CON SUS MAESTROS,COMPAÑEROS QUE LOS HACE SENTIR QUE SON PARTE DE SU FAMILIA ADEMAS ELLOS PASAN LA MAYORIA DE TIEMPO EN LA ESCUELA QUE LOS HACE SENTIRSE MÁS CÓMODOS COMO SI FUERA SU PROPIO HOGAR
Answer:
4 peaches
Step-by-step explanation:
$20/5 = 4 peaches
Answer the question below
Answer:
10^3
Step-by-step explanation:
Hope this helps! Pls give brainliest!
PLEASE HELP !! picture is included !!
What is the mean of the values in the stem-and-leaf plot?
Enter your answer in the box.
Answer:
mean = 24
Step-by-step explanation:
the mean is calculated as
mean = \(\frac{sum}{count}\)
the sum of the data set is
sum = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168
there is a count of 7 in the data set , then
mean = \(\frac{168}{7}\) = 24
A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, one after the other, find the probability that all of them are acceptable. Consider these as independent.
Answer:
\(Probability = 34.3\%\)
Step-by-step explanation:
Given
Represent acceptable with A and defective with D
\(A = 70\%\)
\(B = 30\%\)
Required
Determine the probability that three selected are acceptable
This can be represented as:
\(Probability = AAA\)
Substitute values for A
\(Probability = 70\% * 70\% * 70\%\)
\(Probability = 34.3\%\)
At MLK Middle School, enrollment increased from 320 students in 2019 to 750 students in 2020 after the pandemic. What is the percent increase in enrollment?
Answer:
134.3%
Step-by-step explanation:
Working out a percentage increase or decrease between the two numbers is pretty simple. The resulting number (the second input) is 750 and what we need to do first is subtract the old number, 320, from it:
750 - 320 = 430
Once we've done that we need to divide the result, 430, by the original number, 320. We do this because we need to compare the difference between the new number and the original:
430/320 = 1.343
We now have our answer in decimal format. How do we get this into percentage format? Multiply 2.3 by 100? Ding ding ding! We have a winner:
1.343 x 100 = 134.3%
how many metric tons are in 834.8 mg?
Answer:
8.384
Step-by-step explanation:
Answer:
8.348e-7 metric tons
Step-by-step explanation:
Please help me on this question
Answer:
g(f(x)) = x² + 6x + 9
General Formulas and Concepts:
Algebra I
Composite FunctionsCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x² + 6x + 7
g(x) = x + 2
g(f(x)) is x = f(x)
Step 2: Find g(f(x))
Substitute: g(f(x)) = (x² + 6x + 7) + 2Combine like terms: g(f(x)) = x² + 6x + 9The circle with center O shown above has a 34° inscribed angle and a 42° central angle. What is the measure of minor arc ABC?
The measures of the three intercepted arcs from least to greatest are;
AC < BC < AB
We have,
We are given that
Angle ACB = 63 degrees
Arc BC is 118 degrees.
Now, from the Triangle angle sum theorem, we know that the sum of all interior angles of any triangle is always equal to 180 degrees.
Thus, the sum of the interior angles of the inscribed triangle given to us id also 180 degrees.
Now, since Angle ACB = 63 degrees
Then Arc AB = 63 * 2 = 126
Arc AC = 360 - (Arc BC + Arc AB)
We are given BC = 118 degrees
Thus;
Arc AC = 360 - (118 + 126)
Arc AC = 116°
Thus, the least arc angle is Arc AC while the greatest is Arc AB
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complete question:
Triangle ABC is inscribed in a circle centered at point O.
The figure shows triangle ABC is inscribed in a circle centered at point O and has an angle ACB is 63 degrees and arc BC is 118 degrees.
Order the measures of the three intercepted arcs from least to greatest.
A movie theater has a seating capacity of 257. The theater charges $5.00 for children, $7.00 for
students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket
sales was $ 1870, How many children, students, and adults attended?
The attendance at the movie theatre is;
Children = 142
Students = 44
Adults = 71
What is arithmetic?
Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Here, we have
Given:
Seating capacity = 257
Charges: Children = $5.00; Students = $7.00; Adults = $12.00
Total sales of ticket = $1870
A number of children, students, and adults were present in the theatre.
Let A, C, and S represent adults, children, and students respectively.
There are half as many adults as there are children; this means that
A = ½C
If the total seat capacity is 257, then
A + C + S = 257
Also, if the total sales of tickets are $1870, then
12A + 7S + 5C = 1870
So, we have two equations to be solved simultaneously.
A + C + S = 257 --- (1)
12A + 7S + 5C = 1860 --- (2)
Substitute ½C for A in (1) and (2)
½C + C + S = 257
Multiply both sides by 2
2(½C + C + S) = 2 * 257
C + 2C + 2S = 514
3C + 2S = 514 ----- (3)
12(½C) + 7S + 5C = 1870
6C + 7S + 5C ,= 1870
6C + 5C + 7S = 1870
11C + 7S = 1870 --- (4)
Make S the subject of the formula in (3)
2S = 514 - 3C
S = ½(514 - 3C)
S = 257 - 1.5C
Substituton 257 - 1.5C for S in (4)
11C + 7(257- 1.5C) = 1870
11C + 1799 - 10.5C = 1870
Collect like terms
11C - 10.5C = 1870 - 1799
0.5C = 71
Multiply both sides by 2
2 * 0.5C = 2 * 71
C = 142
Recall that
S = 257 - 1.5C
S = 257 - 1.5(142)
S = 257 - 213
S = 44
Also, recall that
A = ½C
A = ½ * 142
A = 71
Hence, the attendance at the movie theatre is;
Children = 142
Students = 44
Adults = 71
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Find the area and the perimeter of a rectangle with side lengths of 4 1/5in. and 4 2/7 in.
the area is simply the product of its width and length, so hmmm before doing so, let's change all the mixed fractions to improper fractions and then multiply.
\(\stackrel{mixed}{4\frac{1}{5}}\implies \cfrac{4\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{21}{5}} ~\hfill \stackrel{mixed}{4\frac{2}{7}} \implies \cfrac{4\cdot 7+2}{7} \implies \stackrel{improper}{\cfrac{30}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{21}{5}\cdot \cfrac{30}{7}\implies \cfrac{21}{7}\cdot \cfrac{30}{5}\implies \cfrac{3}{1}\cdot \cfrac{6}{1}\implies \text{\LARGE 18}~in^2\)
The area of the rectangle is 18 \(inch^{2}\) and the perimeter is \(16\frac{34}{35}\) inches.
We know that, Area of a rectangle = l * b
and Perimeter of a rectangle = 2(l + b)
Where, l = length of the rectangle
b = breadth of the rectangle
According to the question, l = \(4\frac{1}{5}\) inch = \(\frac{21}{5}\) inch
b = \(4\frac{2}{7}\) inch = \(\frac{30}{7}\) inch
Area of the given rectangle = l* b
= \(\frac{21}{5}\) * \(\frac{30}{7}\)
= 18 \(inch^{2}\)
The perimeter of the given rectangle = 2(l + b)
= 2( \(\frac{21}{5}\) + \(\frac{30}{7}\))
= 2 (\(\frac{297}{35}\))
= \(\frac{594}{35}\)
= \(16\frac{34}{35}\) inch
Hence, the area of the rectangle = 18 \(inch^{2}\)
and the perimeter = \(16\frac{34}{35}\) inch
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Find an angle in each quadrant with a common reference angle with 165°, from 0°≤θ<360°
Answer:
Here are the angles in each quadrant with a common reference angle of 165°:
First quadrant: angle is 15° (subtract 165° from 180°)
Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)
Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)
Fourth quadrant: angle is 195° (subtract 165° from 360°)
. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivity—a promise that the pirates had taken as a joke.
a) Caesar was a vane man who thought 20 talents is too little of a ransom
b) Caesar was very brave and kept to his word to kill the pirates
c) Pirates didn’t believe Caesar will kill them because he was their prisoner
d) The pirates didn’t kill Caesar not only because he was promised to be paid for, but because he made them respect him
The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.
After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.
However, Caesar, true to his word, had the pirates crucified on his own authority.
This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
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4. Maria also wants to study the relationship between the weight of puppies at birth
and their adult weight (at two years old). She collected data from five randomly
selected small-breed dogs and displayed the data in the table.
Birth weightAdult weight
(pounds) (pounds)
1.5 10
317
18
2.5 14
Birth weight Adult weight
(pounds) (pounds)
0.75 5
Part A. Use the data in the table to create a scatterplot. (5 points)
Part A.
(5 points)
Dog Birth and Adult Weights
Answer:
y = 4.87x + 2.28 Is the answer
Step-by-step explanation:
( i see a little bit of part b but do not see the FULL QUESTION which is a problem and i cannot answer.. )
using a:
THE ULTIMATE LINEAR REGRESSION CACLAULTOR
yes it is the epic i get:
y = 4.87x + 2.28
Nothing more noting less ikr
y = 4.87x + 2.28 Being the answer
QUESTION IS DOWN BELOW WORTH 30 POINTS
Answer:
395.84
Step-by-step explanation:
V=πr2h=π·3^2·14
what is the range of the function f (x) = lxl +5?
The range of the function f(x)= IxI+5 is x+5 for x>=0 and -x+5 for x<0.
Given that the function is f(x)=IxI+5.
We are required to find the range of the function.
Function is relationship between two or more variables expressed in equal to form. In a function each value of x must have a corresponding value of y. The value of x is known as domain of the function and the value of y is known as codomain of the function. Range of a function is a limit of values in which the values of function lies.
Function is f(x)= IxI+5
We know that IxI=x for x>=0 and -x<0.
We have to just put the value of IxI in f(x) to get the range of function.
f(x)=x+5 for x>=0 and -x+5 for x<0.
Hence the range of the function f(x)= IxI+5 is x+5 for x>=0 and -x+5 for x<0.
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If ( a + 3 , b – 1 ) = ( - 2 , 4 ) , then a + b =
Answer: {(1,3),(1,4),(2,3),(2,4)}
Step-by-step explanation:
Step -1: Define the Cartesian product.
Cartesian product: If A and B are two non empty sets, then
Cartesian product A×B is set of all ordered pairs (a,b) such that a∈A and b∈B.
Step -2: Find the Cartesian product of given sets.
We have given,
A={1,2} and B={3,4}
So, A×B={(1,3),(1,4),(2,3),(2,4)}
Hence, option A. {(1,3),(1,4),(2,3),(2,4)} is correct answer.
GEOMETRY The radius of a cylinder with volume V and height 10 centimeters is approximately If a can that is 10 centimeters tall has a volume of 900 cubic a V 30 centimeters, estimate its radius.
O a. 5 cm
O b. 6 cm
O c. 15 cm
O d. 30 cm
Answer:
D
Step-by-step explanation:
According the question, the radius of a cylinder with volume V and height 10 contimeters is approximately
\( \sqrt{ \frac{v}{30} } \)
and with the can, the height is also 10 centimeters, V = 900 So the radius is approximately
\( \sqrt{ \frac{v}{30} } = \sqrt{ \frac{900}{30} } = \sqrt{30} \)
So the answer is D
Please help thank you
Answer:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
You deposit $3000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 30 years?
The amount you will have in the account in 30 years is $22836.77
How much will you have in the account in 30 years?From the question, we have the following parameters that can be used in our computation:
You deposit $3000 each year 7% interest compounded annually.Using the above as a guide, we have the following:
Amount = P * (1 + r)^t
Where
P = Principal = 3000
r = Rate = 7%
t = time = 30
Substitute the known values in the above equation, so, we have the following representation
Amount = 3000 * (1 + 7%)^30
Evaluate
Amount = 22836.77
Hence, the amount is 22836.77
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Venera sent a chain letter to her friends, asking them to forward the letter to more friends.
The relationship between the elapsed time t, in months, since Venera sent the letter, and the number of
people, P(t), who receive the email is modeled by the following function:
3t+7
P(t) = 2
Complete the following sentence about the monthly rate of change in the number of people who receive
the email.
Round your answer to two decimal places.
Every month, the number of people who receive the email is multiplied by a factor of
Answer:
It is multiplied by a factor of 8
Step-by-step explanation:
Every month, the number of people who receive the email is multiplied by a factor of 8.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
Venera sent a chain letter to her friends, asking them to forward the letter to more friends.
The relationship between the elapsed time t, in months, since Venera sent the letter, and the number of people, P(t), who receive the email is modeled by the following function:
\(\rm P(t) = 2^{3t+7}\)
Every month, the number of people who receive the email is multiplied by a factor will be
For t = 2, we have
P(2) = 2³⁽²⁾⁺⁷
P(2) = 2¹³
For t = 3, we have
P(3) = 2³⁽³⁾⁺⁷
P(3) = 2¹⁶
Then the factor will be
⇒ P(3) / P(2)
⇒ 2¹⁶ / 2¹³
⇒ 2³
⇒ 8
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which polynomial represents the dividend for the division problem shown?
The dividend is 3x³ + 0x² - 1x - 1, which is option A.
Describe Polynomial?In algebra, a polynomial is an expression consisting of variables (also known as indeterminates) and coefficients, which are combined using the operations of addition, subtraction, multiplication, and non-negative integer exponents. For example \(2x^2 - 3x + 1\) is a polynomial of degree 2 with three terms.
The term "polynomial" comes from the Greek words "poly" (meaning "many") and "nomial" (meaning "term"). Polynomials are used in many areas of mathematics and science, including calculus, physics, and engineering.
Polynomials are classified by their degree, which is the highest exponent in the polynomial. For example, the polynomial \(2x^3 + 3x^2 - x + 5\) is a cubic polynomial, because it has a degree of 3. Polynomials can also be classified by the number of terms they have. For example, a polynomial with only one term is called a monomial, while a polynomial with two terms is called a binomial.
Polynomials have many important properties, such as the fact that the sum and product of two polynomials is also a polynomial. Polynomials can also be factored into simpler polynomials, which can be useful in solving equations and finding roots.
Overall, polynomials are a fundamental concept in algebra and play an important role in many areas of mathematics and science.
The dividend is the product of the divisor and the quotient plus the remainder. In this problem, the divisor is -3x+7 and the quotient is\(3x^2-7x+9\). Using polynomial long division, we get:
\(3x^2 - 4x + 2\)
\(-3x + 7 | 3x^3 + 0x^2 - 1x - 1\)
\(-3x^3 + 7x^2\)
\(-7x^2 - 1x\)
\(-(-7x^2 + 16x)\)
\(-15x - 1\)
\(-(-15x + 35)\)
\(-36\)
Therefore, the dividend is \(3x^3 + 0x^2 - 1x - 1\), which is option A.
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Which property of multiplication is shown? 1x(9x8)=(1x)x8 Identity, distributive, associative, communative
Answer:
1 · ( 9 · 8 ) = 9 · 8 → identify property
Step-by-step explanation:
IDENTIFY: a · 1 = a DISTRIBUTIVE: a · ( b + c ) = a · b + a · cASSOCIATIVE: a · ( b · c ) = c · ( a · b ) COMMUTATIVE: a · b = b · aHi, another math addition fraction question, please help.
Answer:
11/15
Step-by-step explanation
The experiment is to roll a fair die once. Find the following probability. (Enter your probability as a fraction
Answer:
1/6 but it kinda depends on how you throw it to give them all an equel chance of being the number you get.
Step-by-step explanation:
A factory manager wishes to install types of machines, small and large. A small machine needs 2 operators and occupies 4m² of floor space. A large machine needs 3 operators and accupies 8m³of floor space. There are up to 30 operators available and 72m² of floor space. At Least 4small machines and at least 5 large machines must be installed.
a) Taking X to be the number of small machine, and y as the number of large machine to be installed, write down. the four major inequalities required.
b) Draw a graph to show the region satisfying the inequalities
c) Determine the maximum number of machines he can install .
d) If the profit made by each small machine is 250,000 and by the large type is 300,000 per week, find the maximum profit the factory can make in one week and the number of machines of each type that should be installed.
a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72
b) We have drawn the graph.
c) The maximum number of machines that can be installed is 11.
d) The maximum profit is 2,500,000.
What is inequality?
An inequality is a mathematical statement that shows the relationship between two values where one value is either greater than or less than the other value. It is represented by symbols such as >, <, ≥, or ≤. For example, if x is a variable and we want to express that x is greater than 5, the inequality would be written as x > 5.
a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72
b) To graph the region, we can plot the lines that define the inequalities and shade the area that satisfies all of them.
c) Solving the system of inequalities graphically, we find the maximum number of machines that can be installed is 11 (6 small and 5 large).
d) To find the maximum profit, we need to substitute the number of machines into the profit equation. P = 250,000X + 300,000Y. Plugging in X = 6 and Y = 5, we find the maximum profit to be 2,500,000.
Hence,
a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72
b) We have drawn the graph.
c) The maximum number of machines that can be installed is 11.
d) The maximum profit is 2,500,000.
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