Answer:
Step-by-step explanation:
To distribute the expression 18+(d+3)(d-3)(4), you can use the distributive property of multiplication, which states that a(b+c) = ab + ac.
Here's how you can apply the distributive property to the expression:
First, simplify the expression inside the parentheses by using the difference of squares formula: (d+3)(d-3) = d^2 - 3d + 3d -9
(d+3)(d-3) = d^2 - 9
So now the expression becomes:
18 + (d^2 - 9)(4)
Next, use the distributive property to multiply 4 by each term inside the parentheses:
18 + 4d^2 - 36
Simplify by combining like terms:
4d^2 - 18
So the final result is 4d^2 - 18
NEED HELP WILL GIVE BRAINLIEST AND WILL RATE (Do the one thats C and highlighted, ignore the others) :)
Step-by-step explanation:
3.3% = .033 in decimal
Use the compounding formula
a) P(t) = 18000 (1 + .033)^t
b) for t =2 this computes to 19207.6 bacteria
Which type of relationship is indicated by the residual plot? Non-linear relationship. Linear relationship Exponential relationship
The type of relationship that is indicated by the residual plot is given as follows:
Non-linear relationship.
How to classify the functions?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
For this problem, we have an alternative pattern, where the function neither multiplied nor added/subtracted by a constant value when the input is increased by one, hence we merely classify the relationship as a non-linear relationship.
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The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K= C + 273.15.
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15. When solved for C, the equation is K - 273.15. Therefore, the correct option is option C.
Temperature is a unit of warmth or coldness that can be defined in the context of any number of arbitrary scales. It indicates the direction through which the energy from heat will naturally flow, i.e., through a hotter (body) to a colder (body) body. Temperature cannot be the same as a thermodynamic system's energy; for instance, a blazing match is significantly hotter than an iceberg.
K = C + 273.15
K - 273.15 = C + 273.15 - 273.15
K - 273.15 = C
Therefore, the correct option is option C.
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Your question is incomplete but most probably your full question was,
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
When solved for C, the equation is
C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K
Determine each lengths in right triangle ABC.
BD———>
AB———>
The missing parts of the triangle are
BD = 8
AD = 8 sqrt(2)
How to find the missing partsThe missing part BD of the figure is solved using similar triangles
The expression is as follows
h / 8 = 8 / h
h^2 = 8 x 8
h^2 = 64
h sqrt = (64)
h = 8
Solving for AB we use Pythagoras theorem
AB^2 = h^2 + 8^2
AB^2 = 8^2 + 8^2
AB = sqrt(64 + 64)
AB = sqrt (128)
AB = 8 sqrt (2)
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help please, math question Calculate the perimeter
The Perimeter of the given figure rectangle will be 60m. The correct option is 1.
Perimeter refers to the total length of the boundary of a two-dimensional shape or object. It is the distance around the edge of a shape. To find the perimeter of a shape, you add up the lengths of all its sides.
The perimeter of a rectangle is given by the formula:
P = 2(l + w)
where P is the perimeter, l is the length, and w is the width.
Using the values you provided, we can substitute them into the formula:
P = 2(18 + 12) = 2(30) = 60 meters
Therefore, the perimeter of the rectangle with a length of 18 meters and a height of 12 meters is 60 meters.
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The growth of an investment is given by the formula A = 1200 × 1.3 n , where A is the amount the investment is worth and n is the number of years. Estimate how many days it would take for the investment to be valued at £3,800.
The number of days it would take for the investment to be valued at £3,800 is 4.4 days
Estimate the number of days it would takeFrom the question, we have the following parameters that can be used in our computation:
A = 1200 × 1.3^n
For the investment to be valued at £3,800, the value of A would be
A = 3800
Substitute the known values in the above equation, so, we have the following representation
1200 × 1.3^n = 3800
Divide both sides by 1200
1.3^n = 3800/1200
So, we have
n = ln(3800/1200)/ln(1.3)
Evaluate the quotient
n = 4.4
Hence, it would take 4.4 days
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What meaning of the statement this?
We can see here that the statement means that H is a subgroup of a group, and aЄ H is an element of that subgroup.
What is a mathematical statement?We can define a mathematical statement to be a claim that, depending on the circumstances, may be true or false. It frequently incorporates mathematical objects and their relationships or characteristics, such as integers, sets, functions, or geometric shapes.
We can see here that it shows that a is an element of the subgroup of H.
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wo ships, the Queen Elizabeth and the Queen Mary, are parallel to the shore and 35 km apart. How far is each ship from a lighthouse if the Queen Elizabeth is at an angle of 68° and the Queen Mary is at an angle of 45° to the lighthouse
Will give Brainliest and points!!!!
The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.
coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 24 and 6 comma 0
Determine the slope of the line and explain its meaning in terms of the real-world scenario.
The slope of the line is 6, which means that the swimmer will finish the race after 6 minutes.
The slope of the line is 24, which means that the swimmer must complete 24 laps in the race.
The slope of the line is −4, which means that the swimmer will complete 4 laps every minute.
The slope of the line is negative one fourth, which means that the swimmer completes a lap in one fourth of a minute.
The slope of the line and its meaning in terms of the real-world scenario is; C. The slope of the line is −4, which means that the swimmer will complete 4 laps every minute.
How to calculate or determine the rate of change or slope of a line?In Mathematics and Geometry, the gradient, rate of change, or slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 - 24)/(6 - 0)
Slope (m) = -24/6
Slope (m) = -4.
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Income 26-28 28-30 30-32 32-34 34-36
Frequency 2 11 8 5 4
The class that contains the 80th percentile is. a) 26-28 b) 28-30 c) 30-32 d) 32-34 e) 34-36
The class that contains the 80 th percentile is d) 32-34.
How to find the class ?First, find the total frequency of the income :
Total frequency = 2 + 11 + 8 + 5 + 4 = 30
The position of the number at the 80 th percentile would then be :
= 30 x 80 %
= 24 th position
The cumulative frequency of :
26 - 28 = 2
28 - 30 : 2 + 11 = 13
30 - 32 : 13 + 8 = 21
This then means that the 24 th position is in the next interval of 32 - 34.
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Find the surface area of the cylinder in terms of Pi. The diameter is 14 cm and the height is 18 cm
The surface area of the cylinder in terms of pi is:
S = pi*301 cm²
how to find the surface?We know that for a cylinder of radius R and height H the surface area is:
S = pi*( 2RH + R²)
Here the height is 18 cm and the diameter is 14cm, then the radius is.
R = 14cm/2 = 7cm
Then the surface area will be:
S = pi*(2*7cm*18cm + (7cm)*7cm)
S = pi*301 cm²
That is the surface area in terms of pi.
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A person ordering a certain model of car can choose any of 4 colors, either manual or automatic transmission, and
any of 6 audio systems, How many ways are there to order this model of car?
A) 48 ways
B) 44 ways
C 58 ways
D) 56 ways
Answer:
Step-by-step explanation:
4*2*6=48a
Please help !!!!!!!!!!!!!!!!!!!
a) Latonya is correct, as the scale factor of the dilation is of 12.8/4.8.
b) The scale factor was obtained dividing the side length on the dilated figure by the equivalent side length of the original figure.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The ratios for the scale factor are given as follows:
12.8/4.8 = 7.2/2.7 = 4.8/1.8 = 4/1.5 = 8/3.
8/3 as 4 x 2 = 8 and 1.5 x 2 = 3.
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What percentage do you have invested in bonds if your portfolio consists of $45,000 invested in U.S. Treasuries, $32,000 in high-grade corporate
bonds, and $74,000 in growth stocks?
51%
45%
50%
52%
To find the percentage invested in bonds, we need to add the amounts invested in U.S. Treasuries and high-grade corporate bonds, and then divide by the total value of the portfolio:
Total amount invested in bonds = $45,000 + $32,000 = $77,000
Total portfolio value = $45,000 + $32,000 + $74,000 = $151,000
Percentage invested in bonds = (Total amount invested in bonds / Total portfolio value) x 100%
= ($77,000 / $151,000) x 100%
= 51.0%
Therefore, the answer is 51%.
I hope this helps you!
You owe $2,264 on a credit card at a 14.7% APR. You pay $500.00 month. How many months does it take to pay off your balance?
Answer: 5.5 months
Explanation:
To calculate the number of months it will take to pay off your credit card balance, we can use the formula for the time it takes to pay off a balance with fixed monthly payments:
n = -log(1 - (r * b) / p) / log(1 + r)
where:n is the number of months it will take to pay off the balancer is the monthly interest rate (which is the annual percentage rate divided by 12)b is the balance owedp is the fixed monthly paymentFirst, let's calculate the monthly interest rate r:
r = 0.147 / 12 = 0.01225
Next, we can substitute the values into the formula:
n = -log(1 - (0.01225 * 2264) / 500) / log(1 + 0.01225)
Using a calculator, we can simplify this to:
n = 5.5 months
I need help as soon as possible please??
Answer:
4x² - 11xy - 3y²
Step-by-step explanation:
(4x + y)(x - 3y) =
Multiply each term of the first binomial by each term of the second binomial.
= 4x² - 12xy + xy - 3y²
Now combine like terms.
= 4x² - 11xy - 3y²
Triangle ABC
A
B
C
and triangle DEF
D
E
F
are similar. What is the measure of side DF
D
F
?
Answer:
DF = 15 cm
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{DF}{AC}[/tex] = [tex]\frac{EF}{BC}[/tex] ( substitute values )
[tex]\frac{DF}{9}[/tex] = [tex]\frac{25}{15}[/tex] ( cross- multiply )
15 DF = 9 × 25 = 225 ( divide both sides by 15 )
DF = 15
Answer:
12
Step-by-step explanation:
1. Use the Pythagorean theorem for triangle ABC
a squared (one side of the triangle) + b squared (another side) = c squared (hypotenuse)
so
c squared - b squared = a squared
225 - 81 = 144 ( Find the square root )
which is 12
since Triangle ABC is the same with Triangle DEF then
DF = 12
A box falls off a window ledge on a tall building. The height of the box above the ground can be found using the function h(t)=-16t^2+150, where r stands for the number of seconds since the box fell.
a). Find the height of the window ledge.
Answer:
The height of the window ledge is the height of the box when t = 0. So, we need to find h(0).
```
h(0) = -16(0)^2 + 150
h(0) = 150
```
Therefore, the height of the window ledge is 150 feet.
Step-by-step explanation:
A student argues that y=x/9 does not represent a proportional relationship between x and y because we need to multiply one variable by the same constant to get the other one and not divide it by a constant. Do you agree or disagree with this student? Explain why.
The student's argument that y=x/9 does not represent a proportional relationship between x and y is false because there is constant factor which shows the proportional relationship.
A proportional relationship exists between two variables if they are related by a constant factor, meaning that multiplying one variable by a constant results in the other variable. However, this constant can also be obtained by dividing one variable by the other, as in the case of y=x/9.
To see why, we can rearrange the equation to x=9y, which shows that x is proportional to y with a constant factor of 9. Multiplying y by 9 results in x, just as dividing x by 9 results in y. Therefore, the relationship between x and y is still proportional, regardless of whether we multiply or divide to obtain the constant factor.
In general, we can say that a relationship between two variables is proportional if it can be written in the form y=kx, where k is a constant. It does not matter whether we use multiplication or division to express this constant, as long as it is the same for all values of x and y.
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1. The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 2x²+x-3 and g(x) = x - 1.
Find f(x) · g(x).
a. 2x³-x²+4x-3
b. 2x³-4x²+3
c. 2x³-x²-4x+3
d. x² - 4x +3
The solution to the multiplication of both functions is:
2x³ - x² - 4x + 3
How to find the product of functions?To multiply a function by another function, multiply their outputs. For example, if f (x) = 2x and g(x) = x + 1, then fg(3) = f (3) × g(3) = 6 × 4 = 24. fg(x) = 2x(x + 1) = 2x² + x.
We are told that the domain for f(x) and g(x) is the set of all real numbers.
The functions are given as:
f(x) = 2x² + x - 3
g(x) = x - 1
Thus:
f(x) · g(x) = (2x² + x - 3) * (x - 1)
= 2x³ + x² - 3x - 2x² - x + 3
= 2x³ - x² - 4x + 3
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It usually it supposed to be in radical form, but I do not know why they give correct answer choices in the vector form.
Answer:
I think its 221
Step-by-step explanation:
Marcus surveys the students in his school about their favorite lunch.
Lunch
Grilled Cheese
Roast Beef
Chili
Frequency
80
40
50
20
60
Use the data to describe the favorite lunch of students at Marcus's school. Round to the nearest percent and the nearest 10 students.
% of students surveyed preferred grilled cheese, so in a group of 3500 students, about
Chicken & Rice
Other
students will prefer grilled cheese.
32% of the students surveyed preferred grilled cheese, so in a group of 3500 students, about 1120 students will prefer grilled cheese.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of people surveyed is given as follows:
80 + 40 + 50 + 20 + 60 = 250.
80 students preferred grilled cheese sandwich, hence the percentage is obtained as follows:
p = 80/250 x 100%
p = 32%.
Hence the expected amount of 3500 students is given as follows:
0.32 x 3500 = 1120 students.
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If r = 6 and the measure of the central angle 2pi/3, what is the length of the intercepted arc
The length of the intercepted arc is 4π unit.
We have,
Angle = 2π/3 = 2(180)/ 3 = 120 degree
r = 6 unit
So, length of Arc
= θ /360 x 2πr
= 120/360 2 π(6)
= 1/3 (12)π
= 4π unit
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X
-2
-1
01
2
3
-2
0
7
What is the rate of change for the interval between 0
and 2 for the quadratic equation as f(x)=2x²+x-3
represented in the table?
O
5
10
The rate of change for the interval between 0 and 2 for the quadratic equation is 10.
What is the change in interval of the quadratic equation?
A quadratic equation is a type of polynomial equation of the second degree, which means it has one or more terms that are raised to the power of two.
The general form is;
ax² + bx + c = 0
Where;
x is the variablea, b, and c are constantsThe rate of change for the interval between 0 and 2 for the quadratic equation is calculated as;
f(2) - f(0) = 7 - (-3)
= 7 + 3
= 10
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Suppose you draw 6 samples of marbles from a jar and get these results for red marbles. 26,25,25,30,28,28 What is the mean number of red marbles drawn?
Answer:
Mean-27
Step-by-step explanation:
Add all of the numbers and it equals 162
Then divide 162 by the amount of numbers presented.
Since there are 6 numbers listed we divide by 6
162/6=27
What is the value of z in the triangle?
Enter your answer in the box. Round your final answer to the nearest hundredth.
Answer:
z = 12.52 in.
Step-by-step explanation:
Because this is a right triangle, we can solve for z using on the trigonometric ratios.
If we allow 37° to be our reference angle, the 10 in. side is the adjacent side and z (directly across from the right angle) is the hypotenuse.
Thus, we can use the cosine ratio which is
[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]
Now, we can plug everything into the formula and solve for z, the hypotenuse:
[tex]cos(37)=10/z\\z*cos(37)=10\\z=10/cos(37)\\z=12.52135658\\z=12.52[/tex]
Select all of the figures that show axis symmetry.
Answer: All of them
Step-by-step explanation:
All of them can be divided into two equal halves.
The figures that show axis symmetry are 1, 2, and 3.
What is the axis of symmetry?The axis of symmetry is a line, plane, or other axis that divides a geometric figure into two mirror-image halves that are congruent to each other.
A figure has axis symmetry if it looks the same after being rotated around an axis.
Out of the given figures, the ones that have axis symmetry are:
Sphere (has infinite axis symmetry)Cone (has rotational symmetry around its central axis)Cylinder (has rotational symmetry around its central axis)The figures that do not have axis symmetry are:
Cube (has only point symmetry)Rectangular cone (has no rotational symmetry)So, the figures that show axis symmetry are 1, 2, and 3.
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If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage e for a child of age a, pharmacists use the equation c = 0.0417D(a + 1).
Suppose the dosage for an adult is 150 mg.
(a) Find the slope of the graph of e. (Round your answer to two decimal places.)
What does it represent?
The slope represents the Select of the dosage for a child for each change of 1 year in age.
(b) What is the dosage for a newborn? (Round your answer to two decimal places.)
ma
a) The slope shows that the appropriate dose c for an older child increase by 6.225 mg if the child is one year older.
b) The dose for newborn baby is: 6.225 mg
The equation of a line in slope intercept form is:
y = mx + c
where: m is slope and c is y-intercept
(a) Let a be an age of an child in years. Then:
c = 0.0417Da + 0.0417D
Where D is a constant
Since D = 150 mg, then we have:
The slope of the graph = 0.0417(150)
= 6.225 mg/year
The slope shows that the appropriate dose c for an older child increase by 6.225 mg if the child is one year older.
(b) Newborn baby: a=0
Thus:
c(0) = 0 + 6.225
= 6.225 mg
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8 cupcakes in 1 box = 16 cupcake in X boxes
Answer:
2 boxes
Step-by-step explanation:
8 cupcakes in 1 box = 16 cupcake in x box
We Take
16 ÷ 8 = 2 boxes
So, the answer is 2 boxes.
find the number of lamps should be manufactured annually
The solution is :Total manufacturing cost per Lamp is $15.10 per lamp.
Explanation:
Cost per part of Material handling = $3000/6000 parts
Cost per part of Material handling = $0.50 per part
Assembling per hour = $7200/3000
Assembling per hour = $2.40 per hour
Packaging per lamp = $4000/2000
Packaging per lamp = $2 per lamp
Total manufacturing cost per Lamp = $8 + (9*$0.50) + ($2.40/4) + $2
Total manufacturing cost per Lamp = $8 + $4.5 + $0.6 + $2
Total manufacturing cost per Lamp = $15.10 per lamp
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complete question:
Traditions Home Accessories Company manufactures decorative lamps using an activity-based costing system to allocate all manufacturing conversion costs. The following information is provided for the month of June: Activity Estimated Indirect Activity Costs Allocation Base Estimated Quantity of Allocation Base Materials handling $3,000 Number of parts 6,000 parts Assembling $7,200 Number of hours 3,000 hours Packaging $4,000 Number of lamps 2,000 lamps Four lamps can be assembled in 1 hour. Each lamp consists of 9 parts. The total direct materials cost per lamp is $8.00. What is the total manufacturing cost per lamp
