Write a function rule to represent the situation. the total cost C for g grams of calcium if each gram costs $5.87 Write a function rule using C and g as variables. (Type an equation.)
Answers
Answer:
c=5.87g
Step-by-step explanation:
because you know c is total cost and g is grams. 5.87g would be the cost per gram multiplied by the number of grams you need.
Related Questions
I need help asap
I cannot figure this out
Answers
Name three other real-world situations where a strategy, "plan of attack, or
"code of conduct" is agreed upon before a given situation occurs.
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Answer:
1.
Planning a wedding .
2.
A huddle in and practice before a football game.
3.
The passing of a Constitutional Amendment.
The number of prime factors of 3×5×7+7 is
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The number of prime factors of 3×5×7+7 is 3.
To find the number of prime factors, we need to calculate the given expression:
3×5×7+7 = 105+7 = 112.
The number 112 can be factored as 2^4 × 7.
In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.
So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.
In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.
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A company sold 3,000 computers in one month, but 12 were returned. If 3,500 were sold the next month, the company would expect 14 to be returned.
What is a valid proportion to represent the problem?
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Answer:
the last one is correct
Step-by-step explanation:
because 3000/12 = 250 and 3500/14 = 250 so they are porportional.
(50 POINTS)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Based on the figure on the graph, match the described transformations with the transformed figures.
reflected across the x-axis
rotated 180° clockwise
translated 9 units to the
right and 2 units down
reflected across the y-axis
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The translations for this problem are given, respectively, by:
translated 9 units to the right and 2 units down.reflected across the x-axis.reflected across the y-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For the first translation, the orientation remains the same, just the positions changes, hence it is translated 9 units to the right and 2 units down.
For the second translation, the rule applied to each vertex was:
(x,y) -> (x,-y).
Hence it was reflected across the x-axis.
For the third translation, the rule applied to each vertex was:
(x,y) -> (-x,y).
Hence it was reflected across the y-axis.
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Which statment is correct?
A. 7.6 < 7 5/6 < 7.7
B. 7.7 < 7 5/6 < 7.8
C. 7.8 < 7 5/6 < 7.9
D. 7.9 < 7 5/6 < 8.0
Answers
Answer:
I think the answer is D
Step-by-step explanation:
.
D
Answer:
The answer is C
Explanation:
1) The faster way to do that is to divide 5 by 6
\( \frac{5}{6} = 0.833 \\ 7 \frac{5}{6} = 7 + \frac{5}{6} \)
2) Then, let's add that to the whole number 7 in that mixed number:
\(7 + 0.83 = 7.83\)
3) So we can write, based on that;
\(7.8 < 7 \: \frac{5}{6 } < 7.9 \\ \\ or \: 7.80 < 7.83 < 7.90\)
So, The answer is C
At a community bake sale, Justin earned $1.50c selling cookies, $2.25m selling muffins, and $1.90b selling brownies. He paid $0.30b for the ingredients for the brownies, $0.19c for the cookie ingredients, and $0.59m for the muffin ingredients.
Which expression represents his total profit?
1.2c+2.06m+1.31b
1.8c+2.44m+2.49b
1.31c+1.66m+1.6b
1.69c+2.84m+2.2b
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The expression that represents the profit Justin made is 1.31c + 1.66m + 1.6b ( option C)
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
Justin earned $1.50c selling cookies but he spent $0.19c. Therefore the profit on cookies = $(1.5-0.19)c. = $1.31c
He earned $2.25m by selling muffins and spent $0.59m on the ingredients. Therefore the profit He made on muffins = $(2.25-0.59) = $1.66m
He earned $1.90b selling brownies and he spent $0.30b on ingredients. The profit he made on brownies = $1.90-$0.30 = $1.60b
Therefore the expression for the total profit = $(1.31c+ 1.66m+1.6b)
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HELP PLEASE I will give brainlist
Answers
Answer:
the second one
Step-by-step explanation:
y = 2/3 (x +6)-5
Answer:
B
Step-by-step explanation:
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
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If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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Can anyone solve this for me? Ty:)
Answers
Answer:
2x^2 + 6x + 2
Step-by-step explanation:
5 + 3x - x^2 + (3x^2 - 5x + 4 + 8x - 7) =
= 5 + 3x - x^2 + 3x^2 + 3x - 3
= 2x^2 + 6x + 2
Use the following diagram to find the length of the arc indicated.
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The value of the length of the arc indicated is,
⇒ 28π/3 feet
We have to given that;
Radius of circle = 14 feet
And, Central angle = 120 degree
Hence, We can formulate;
⇒ Arc length = 14 x 120 x π /180
⇒ Arc length = 28π/3
Thus, The value of the length of the arc indicated is,
⇒ 28π/3 feet
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Which equation below has a slope greater than the slope of the line shown above?
A. y = 2 x + 2
B.y = 3x - 1
C. y = - 3
D. y = 4 + 1.75 x
Answers
Answer:
B.y = 3x - 1
Step-by-step explanation:
Pick two points on the line
(0,1) and (2,5)
The slope using the slope formula
m = (y2-y1)/(x2-x1)
= ( 5-1)/(2-0)
= 4/2
= 2
We want a slope that is greater than 2
The slope intercept form of the equation is
y = mx+b where m is the slope
y = 3x - 1 has a slope of 3 which is greater than 2
PLISSSSSSSSSSS HELP!!!!!!!!!!!
i will give brainliest..........
Answers
Answer:
125/1000hope it helps
stay safe healthy and happy...Answer:
\(\frac{125}{999}\)
Step-by-step explanation:
Process of Elimination, the decimal is 0.125 repeating
\(\frac{1}{8}\) as a decimal is 0.125
\(\frac{1}{4}\) as a decimal is 0.25
(Those two should've been easy to eliminate)
\(\frac{125}{1000}\) as a decimal is 0.125 (since there are three zeros in the denominator, you move the decimal three spots to the left.)
This leaves us with:
\(\frac{125}{999}\) If you divide 125 ÷ 999 you get 0.125125125...
Hope this helps Stay safe:)
the fracture strength of a certain type of manufactured glass is normally distributed with a mean of 579 mpa with a standard deviation of 14 mpa. (a) what is the probability that a randomly chosen sample of glass will break at less than 579 mpa?
Answers
579 MPa is 0.1446.
The probability that a randomly chosen sample of glass will break at less than 579 MPa can be found using the Normal Distribution. Using the mean and standard deviation given, we can calculate the probability that a randomly chosen sample will have a fracture strength of less than 579 MPa. This is calculated using the formula P(X < 579) = 1 - P(X > 579) = 1 - 0.8554 = 0.1446.
Therefore, the probability that a randomly chosen sample of glass will break at less than 579 MPa is 0.1446.
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What is the probability of rolling a “7" on a fair 6-sided die and flipping a tails on a
fair coin?
Answers
0 because there is no 7 on a fair 6-sided die
Answer:
The probability of rolling a "7" on a fair 6-sided die is 0/6 or 0% because there is no value of 7 to be rolled on such a die. The probability of flipping a tails on a fair coin is 1/2 or 50% because there are only two sides to a coin and tails is one of those sides.
Please help me quick, im timed!
Answers
Answer:
the 3rd option is the correct answer . u need to make the coefficient of x² the smallest before factorizing the equation.
Answer:
C.
Step-by-step explanation:
After these two steps, we divide the whole expression by coefficient of \(x^2\) (which is a) to both sides so that we get the \(x^2\) isolated for further solving.
You drop a ball from a height of 1. 5 meters. Each curved path has 71% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path?
a. A(n) = 150 * (0. 71)^n-1; 27. 06 cm
b. A(n) = 1. 5 * (0. 71)^n-1 ; 0. 27 cm
c. A(n) = 150 * (71)^n-1 ; 270,634,402,650 cm
d. A(n) = 0. 71 * (1. 5)^n-1 ; 5. 39 cm
Answers
The height of the ball at the top of the sixth path is approximately 27.06 cm.
a. The correct rule for the sequence using centimeters would be:
A(n) = 150 * (0.71)^(n-1)
This formula represents the height of the ball at term n, where n is the number of paths. The initial height is given by the term n = 1.
b. To find the height of the ball at the top of the sixth path, we can substitute n = 6 into the formula:
A(6) = 150 * (0.71)^(6-1)
= 150 * (0.71)^5
≈ 27.06 cm
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Use the unique factorization theorem to write the following integers in standard factored form. (a) 756 2^2.3^3.7. (b) 819 3^2.7.11 (c) 9,075 3^2.5^2.7
Answers
The factorizations of these integers above represent their factorizations into their respective prime numbers.
(a) 756 = 2^2.3^3.7, (b) 819 = 3^2.7.11, (c) 9,075 = 3^2.5^2.7The unique factorization theorem refers to an essential theorem in standard algebraic theory that characterizes the unique factorization properties of integers. Standard factored form, on the other hand, refers to an expression in which an integer is factored into its standard, irreducible components.In view of this, the three provided integers, 756, 819, and 9,075 can be factored as follows:756 = 2^2.3^3.7 (in standard factored form)819 = 3^2.7.11 (in standard factored form)9,075 = 3^2.5^2.7 (in standard factored form)Note that the factorizations of these integers above represent their factorizations into their respective prime numbers.
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If a1= 7 and an= -4an-1 + 5 then find the value of a4.
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Given that
\(\begin{gathered} a_1=7 \\ a_{_{}n}=-4a_{n-1_{}}+5 \end{gathered}\)Hence,
\(\begin{gathered} a_2=-4a_1+5 \\ =-4(7)+5 \\ -28+5=-23 \end{gathered}\)Similarly,
\(\begin{gathered} a_3=-4a_2+5 \\ a_3=-4(-23)+5 \\ =92+5=97 \end{gathered}\)Therefore,
\(\begin{gathered} a_4=-4a_3+5 \\ a_4=-4(97)+5 \\ =-388+5 \\ =-383 \\ \\ a_4=-383 \end{gathered}\)1. Two crucial tasks inherent in the initial stage of group therapy are orientation and ______________.
2. Ambiguity and lack of a structured approach in groups often lead to:
Answers
Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.
Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.
It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.
Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.
Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.
Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.
To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.
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A residual is the difference between _______.
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A residual is the difference between "the measured and predicted values of the quantity of interest".
What is residuals?In regression analysis, a residual would be the difference between an observable and anticipated value.
The formula is;
Residual = Observed value – Predicted value
Some key features regarding the residuals are-
The purpose of linear regression would be to quantify the relationship among one or so more predictor variables one and or more response variables. Linear regression selects the line that best "fits" the data, defined as least squares regression line, to do this. This line generates a prediction for every observation in the dataset, however it is improbable that the regression line's prediction would perfectly match its observed value.The residual is the discrepancy between the predicted and the observed value. The residuals for every observation would represent the vertical distance between both the observation as well as the regression line if we plotted the observed values then overlaid the fitted regression line.To know more about the residual, here
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this is what i need help on
Answers
explanation:
put 3 into the equation wherever k is
so you should have 15/3
fractions are just another way of demonstrating division so really it’s 15 ➗ 3 which is 5
The diameter of a circle is 14 meters. What is the circle's circumference?
Use 3.14 for л.
d=14 m
meters
Answers
Answer: 43.96 \(m^{2}\)
Step-by-step explanation:
Diameter = 14m
Circumference = D * pi = 14 * 3.14 = 43.96
Answer:
Step-by-step explanation:
To find the circumference of a circle, the formula is 2πr or πd.
So you have 14π or 43.96 meters
Answer:43.96 meters
I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT.
Answers
Answer:
Corresponding angles
Step-by-step explanation:
Angles that are along the same side of the transversal and not supplementary (or the two opposite exterior angles) are corresponding.
Pls can someone help I don’t get this Tysm
Answers
Act now to stop developers from building on 600 m² of land.
What is a metric system?A system of measurements is called the metric system. It is employed in calculations and research across the globe.
Here are some illustrations of how the metric system is used to measure various objects.
Measurements for length include millimeters (mm), decimeters (dm), centimeters (cm), meters (m), and kilometers (km).
The developer's measurement is in kilometers and the environmental group measures in meters.
Given, The area they are building is 0.6 square km of land.
We know, 1 kilometer is equal to 1000 m.
Therefore, The environmental group should put 0.6×1000 = 6000 sq km of land.
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Multiply the polynomials.
(2x2 + 6x + 6)(3x-2)
Answers
You're answer would be 6x3 + 14x2 + 6x - 12
A cone has a radius that is 12 inches and a height of 21 inches.
21 inches
12 inches
What is the approximate volume of the cone?
F 9,495 in.
G 264 in.
H 3,165 in.
1,809 in.
Answers
Answer: A
Step-by-step explanation: Because 32=23=12321=33+23123
Help pls solve no. 16
Answers
find an equation of the set of all points equidistant from the points a(−2, 4, 4) and b(5, 2, −3). describe the set.
Answers
The set of all points equidistant from the points A(-2, 4, 4) and B(5, 2, -3) forms a plane. This plane can be described by an equation that represents the locus of points equidistant from A and B.
To find the equation of the plane, we can first calculate the midpoint M between points A and B, which is given by the coordinates (x₀, y₀, z₀) of M, where x₀ = (x₁ + x₂)/2, y₀ = (y₁ + y₂)/2, and z₀ = (z₁ + z₂)/2.
Midpoint M:
x₀ = (-2 + 5)/2 = 3/2
y₀ = (4 + 2)/2 = 3
z₀ = (4 - 3)/2 = 1/2
Next, we calculate the direction vector D from A to B, which is obtained by subtracting the coordinates of A from those of B.
Direction vector D:
dx = 5 - (-2) = 7
dy = 2 - 4 = -2
dz = -3 - 4 = -7
Using the midpoint M and the direction vector D, we can write the equation of the plane as follows:
(x - x₀)/dx = (y - y₀)/dy = (z - z₀)dz
Substituting the values we calculated earlier, the equation becomes:
(x - 3/2)/7 = (y - 3)/(-2) = (z - 1/2)/(-7)
This equation represents the set of all points equidistant from points A(-2, 4, 4) and B(5, 2, -3), and it describes a plane in three-dimensional space.
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Math help me out this is tricky man hurry solve both
Answers
Answer:
1) a , b , c , e are ans....
2) a.F b.T c.F d.T