Answer:
It should be the third option.
Step-by-step explanation:
The second expression is 2(3x+1)
Just substitute 2 as x.
2(3(2) + 1)
2(6 + 1)
2(7)
14
Since both expressions are equal to 14, both expressions are equivalent.
The cost of shipping a package is $2.75 per pound. Jeremy wants to ship a package that has a mass of 15 kg. How much will it cost Jeremy to ship this package? Use 1 kg = 2.2 lbs.
Answer:
$90.75
Step-by-step explanation:
First we convert kilograms to pounds.
1 kg = 2.2 lb
15 kg = 15 * 2.2 lb = 33 lb
Cost of shipping: $2.75/lb
Cost of shipping 33 lb: 33 lb * 2.75/lb = $90.75
Answer: $90.75
(−1)^3⋅(−1)^2
simplify
Answer:
Step-by-step explanation:
(-1)³·(-1)² = (-1)·(1) = -1
Alternatively,
(-1)³·(-1)² = (-1)³⁺² = (-1)⁵ = -1
3. Determine the x-intercept and y-intercept for the equation containing the following ordered pairs:
(-10,-32) (-5, -24) (0, -16) (5,-8) (10,0)
Answer:
Step-by-step explanation:
X-intercepts are: (-10,-5,0,5,10)
Y-intercepts are: (-32,-24,-16,-8,0)
There are 7,500 shares of $10 par value participating 9 percent preferred stock outstanding, and 32,500 shares of common stock outstanding. The common stock cash dividend is $.50 per share, and total dividends of $50,000 are distributed. Remaining dividends are shared equally between common and preferred stockholders. Round your answers to two decimal places, if necessary.
Answer:
add the answers then subtract
Step-by-step explanation:
hope this is right
Lesson 18: Use Systems of Equations to Solve Protstems A bag of popcorn and a juice box contains 518 calories. Two bags of popcorn and 6 juice boxes have a total of 1,456 calories. How many calories are in each Bag of popcorn and juice box? A. 182 calories in each bag of popcorn and each juice box B. 259 calories in each bag of popcorn and each juice box C. 364 calories in each bag of popcorn and 121 calories in each juice box D. 413 calories in each bag of popcorn and 105 calories in each juice box
According to the given information, the sum of the calories of a bag of popcorn and a juice box is 518. Taking x as the number of calories of a bag of popcorn and y as the number of calories of a juice box, we have that:
\(x+y=518\)Then, 2 bags of popcorn (it means 2x) and 6 juice boxes (it means 6y) have a total of 1456 calories, this is:
\(2x+6y=1456\)Use this system of equations and solve the problem, this way:
Solve the first equation for x:
\(x=518-y\)Use this expression and replace for x in the second equation:
\(\begin{gathered} 2(518-y)+6y=1456 \\ 1036-2y+6y=1456 \\ 4y=1456-1036 \\ y=\frac{420}{4} \\ y=105 \end{gathered}\)Use this value to find the value of x:
\(x=518-105=413\)It means that there are 413 calories in each bag of popcorn and 105 calories in each juice box.
I need the answer
Anyone help pls
I believe its D. because you put the numbers from smallest to biggest
then find the median (middle number)
and mode is what number you see most often.
Express x²- 8x + 5 in the form (x - a)² - b where a and b are integers.
The expression will be;
⇒ (x- 4)² - 11
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x² - 8x + 5
Now,
Solve the expression as;
⇒ x² - 8x + 5
⇒ x² - 8x + 16 - 16 + 5
⇒ (x- 4)² - 11
Thus, The value of the expression = (x- 4)² - 11
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
find the mean 12,13,9,5,11,10
Answer:
10
Step-by-step explanation:
5+9+10+11+12+13=60 divided by 6 = 10
Mean = Sum of all observations/Number of observations
Mean = 12 + 13 + 9 + 5 + 11 + 10/6
=60/6
= 10
dont forget to like and mark me
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
Answer:
Step-by-step explanation:
The general equation of the circle is:
(x-h)²+(y-k)²=r²
(h, k)=(-3,-5) are the coordinates of the center of the circle.
r=6 is the radius
The equation of the circle is:
(x+3)²+(y+5)² = 36
Can anybody help me out with this problem? I don't need a huge explanation but a very brief explanation on how you got the answer. Thanks!
ANSWER:
4
13
8
STEP-BY-STEP EXPLANATION:
We can calculate the value in each case by means of the graph, just like this:
Therrefore:
\(\begin{gathered} f(0)=4 \\ f(3)=13 \\ f(-2)=8 \end{gathered}\)Solve:
3250/156 = y/40
Answer:
y = 833.(3) .3 repeatingStep-by-step explanation:
the fraction is a division, we solve with an equation
3250 : 156 = y : 40
y = 3250 × 40 : 156
y = 833.(3) 3 repeating
--------------------------
check
3250 : 156 = 833.(3) : 40
20,83333333333333 = 20,83333333333333
the answer is good
0.9t
t² + 64
Find the time
The concentration of a drug t hours after being injected is given by C(t) =
when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
hours.
Calculator
Submit Question
Ilke is deciding whether to take his girlfriend on a dinner date or on a movie date the probability of this having a successful dinner is 55%. the probability of this having a successful movie day is 0.45.
Which of these events is more likely?
Answer:
The dinner date
Step-by-step explanation:
Give the numerical coefficient of the term -5x
Answer:
-5
Step-by-step explanation:
You want the numerical coefficient of -5x.
CoefficientA coefficient is one of the factors in a product. In simple terms consisting of the product of a constant and one or more variables, an unqualified reference to the coefficient is a reference to the constant.
The coefficient can also be that part of the product that multiplies a designated factor.
For example, the coefficient of x in the term "3abxy" is "3aby".
Given termThe numerical coefficient in the term -5x is -5.
A company charges an initial fee plus an hourly rate to rent scooters. This table
shows the total cost to rent a scooter for different amounts of time.
Hours Total Cost
3 $25
5 $35
7 $45
What is the hourly rate (in dollars) that the company charges to rent a scooter?
Answer:
8.3, 7, 6.4 which is $21.07
Step-by-step explanation:
Answer:
8.333333333333 but round it to 8.3
Step-by-step explanation:
all u have to do it divide 25 and 3 and get 8.3333333 so then u round it to 8.3
if the cafiteria has 80 coustomers on tuesday, which prediction for tues day is not supported by the data in the table
Answer:
Where is the table?
Step-by-step explanation:
Evaluate:
10
Σ¹0 4(1)n-1 = [?]
Round to the nearest hundredth.
Enter
Answer:
Using the formula of geometric progression, we get 5.3333333. After rounding off to the nearest hundredth or to the two digit place after the decimal, we get 5.33.
Step-by-step explanation:
Concept: Given expression means that \(4(\frac{1}{4} )^{n-1}\) is a series that starts from n = 1 and ends at n = 10. Or we can say that the given expression is a summation from n = 1 to n = 10. This will make a geometric progression. Use the formula of geometric progression to find the answer.
\(4(\frac{1}{4})^{0} + 4(\frac{1}{4})^{1} + 4(\frac{1}{4})^{2} +...+ 4(\frac{1}{4})^{10}\\4\frac{-(\frac{1}{4} )^{11} +1}{-\frac{1}{4} +1} \\4\frac{1}{\frac{3}{4} } \\\frac{16}{3} \\5.33333333\\\)
Now, we want the answer to the nearest hundredth. This means that the answer should have two digits after the point.
The answer, to the nearest hundredth is 5.3333333
For more explanation, refer the following link
https://brainly.com/question/27959890
#SPJ10
When cooking rice, the grain is 1/2 of the part to water. Write the ratio that represents this.
• Rice:Water = 2:1
Water:Ratio = 1:2
Rice:Water = 1:2
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. The doctor recommends rest if the patient has the flu. The doctor recommends rest. not possible The patient does not have the flu. If the doctor recommends rest, the patient has the flu. The patient has the flu.
The doctor recommends rest if the patient has the flu. Then the correct option is A.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
Read the following two statements.
Then, if possible, use the Law of Detachment to draw a conclusion.
Then the correct option is A.
The doctor recommends rest if the patient has the flu.
More about the decision-making link is given below.
https://brainly.com/question/3369578
#SPJ1
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
Know more about the vectors here:
https://brainly.com/question/30854499
#SPJ8
The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
Please help me out here, I’ve been reposting the same questions and have not seen people not answer mine. :( just please i will give u brainiest
Answer:
There are infinite solutions because they are the same equation
2D + 1G = 12
and
4D + 2G = 24 (divide by 2) 2D + G = 12
2D + 1G = 12 is the same as 2D + 1G = 12
What is 3/5 divided by 1/9 please I need to knoooooooooow
Answer: 5 2/5
Step-by-step explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Lastly, you should end up with an answer.
What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Check the picture below.
What is the area of this triangle, in square units? Explain or show your reasoning.
Answer:
Half of the base multiple by the height
Please can someone help me
Answer:
.7%
Step-by-step explanation:
hope this helps and have a great day :)
what is the slope intercept form of 4x+y=-3
Answer:
Step-by-step explanation:
-4x-3=y
What is I need it fast 3/4x = -18
Answer:
x=-24
Step-by-step explanation:
i looked it up
Answer:
X = - 1
24
Step-by-step explanation:
Solution,
3/4x = -18
or, 3/4x = -18/1
or, 3*1 = 4x*(-18) [ cross multiplication ]
or, 3 = -72x
or, -72x = 3
or, x = 3/(-72)
or, x = - 1 [ Answer ]
24
Which of the binomials below is a factor of this trinomial? x^2 + 13x + 40A. x+5B. x-4C. x-5D. x+4
To factor the given trinomial, follow these steps:
Write two factors, two binomials, the first term of each binomial will be x:
\((x\text{ })(x\text{ })\)The sign of the first binomial will be the first sign of the original trinomial, and the sign of the second binomial will be the product of the two sing in the trinomial (+*+).
\((x+\text{ })(x+\text{ })\)The independent terms of the binomials will be 2 numbers, the sum of these numbers has to be 13 and the product of them has to be 40, these numbers are 8 and 5:
\((x+8)(x+5)\)It means that the correct answer is A. x+5.
Graph the circle (x+5)^2+(y+2)^2=4
(x+5)² + (y+2)² = 4
(x - x0)² + (y - y0)² = r²
with circle center point (x0 ; y0) and r for circle radius
so you have to place the point (- 5 ; - 2) and graph the circle with r = 2
blood carries a drug into an organ at a rate of 3 cm^3/sec and leaves at the same rate. the organ has a liquid volume of 150 cm^3. the concentration of the drug in the blood entering the organ is 1/3 gm/cm3. what is the mass of the drug in the organ at time t if there was no trace of the drug initially?
The mass of the drug in the organ at time t depends on the concentration of the drug in the blood entering the organ and the rate at which the blood is entering and leaving the organ. This can be calculated by multiplying the volume of the organ by the concentration of the drug in the blood.
At time t, since the rate at which the blood is entering and leaving the organ is 3 cm^3/sec, the amount of drug in the organ is equal to the amount of drug entering the organ plus the amount of drug that was initially in the organ. As there was no trace of the drug initially, the mass of the drug in the organ at time t is 3 cm^3/sec multiplied by the concentration of the drug in the blood (1/3 gm/cm3) multiplied by the volume of the organ (150 cm^3).
Therefore, the mass of the drug in the organ at time t is 150 gm.
To learn more about the mass:
https://brainly.com/question/17783053
#SPJ4