Answer:
7420
Step-by-step explanation:
7000 times 1.06 is 6% interest for 3 years
Solve 3(2m + 1) − 3m = −12. m = −5 m equals negative 13 over 3 m equals negative 15 over 6 m = −0.33
The value of m from the given equation is -5. Therefore, option A is the correct answer.
The given equation is 3(2m+1)-3m=-12.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
A general rule for equation solving:
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The given equation can be solved as follows:
6m+3-3m=-12
⇒ 3m+3=-12 (Subtract the like terms)
⇒ 3m=-12-3 (Transpose 3 to other side of the equation)
⇒ 3m=-15
⇒ m=-15/3 (Transpose 3 to other side of the equation)
⇒ m=-5
The value of m from the given equation is -5. Therefore, option A is the correct answer.
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Answer:
m=-5
Step-by-step explanation:
SORRY I NEED HELP AGAIN
(see photo for question again)
Answer:
x=24
y=25
Step-by-step explanation:
3y =75 by alternate interior angles theorem
y =25
4x+9+75=180
4x+84=180
4x=96
x=24
HELLO CAN U HELP ME PLEASE??
Answer:
B
Step-by-step explanation:
The rate at which she travels is called the rate of speed.
rate of speed = distance / time
r = d/t
She wants to know the time, so we solve the above equation for time.
r = d/t
rt = d
t = d/r
t = 300/r
300/r = t
Answer: B
Answer:
B. t = 300/r
Step-by-step explanation:
translate the question into math
usually
speed is shown as
kilometers per hour
RATE MEANS SPEED
translate kilometers per hour
kilometers = 300 km
per= /
hour = t
speed = 300 km/t
SPEED MEANS RATE
rate = r
r = 300 km/t or 300/t
r = 300/t
t = 300/r
note: rate or speed can be gotten by
SLOPE of line in a graph
HYPOTENUSE of a triangle from a slope of a line in a graph
DERIVATIVE which is a slope of curve in a graph
The school cook ordered p packages of hot dog buns for the year-end picnic. Each package contains 8 buns. Write an expression that shows how many hot dog buns were ordered.
The school cook ordered p packages of hot dog buns for the year-end picnic. Each package contains 8 buns. Write an expression that shows how many hot dog buns were ordered.
order = 8p
if necessary, how can a student determine the change in angular momentum δlδl of the cylinder from t=0t=0 to t=t0t=t0?
To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:
ΔL = I * Δω
where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.
To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:
Δω = ωt0 - ω0
Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.
The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:
I = (1/2) * m * r^2
where m is the mass of the cylinder and r is the radius of the cylinder.
By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.
It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.
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Luke and Angelina record how much dry food their pets
eat on average each day.
• Luke's pet: 1.5 cups of dry food
Angelina's pet: cups of dry food
Answer:
ANGELINA:12.6
LUKE:4.2
Step-by-step explanation:YOU WOULD MULTIPLY WHAT THEY EAT ON THE DAILY TIMES SEVEN BECAUSE THAT IS THE AMOUNT OF DAYS IN A WEEK.
Geometary formulas 7th grade
Sum of the interior angles of a polygon. (number of sides - 2) 180.
Area of a rectangle or a parallelogram. A = bh.
Area of a triangle. A = ½ bh.
Area of a trapezoid. A = ½ (b₁+b₂) h.
Area of a circle. A = πr²
Circumference of a circle. C = πd.
Surface area of a prism. S = 2B + Ph.
Surface area of a cylinder.
If you have a right triangle with 36 square units. what is the scaled value if you go 2-1 , 3-1?
Answer:
324, 900, 9
Step-by-step explanation:
When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!
Onto the answer, just follow the advice above:
36 * 3^2 = 36 * 9 = 324 square inches,
36 * 5^2 = 36 * 25 = 900 square inches,
36 * 0.5^2 = 36 * 0.25 = 9 square inches.
Hope this helps :)
At the local college, a study found that students had an average of 0.70.7 roommates per semester. A sample of 133133 students was taken. What is the best point estimate for the average number of roommates per semester for all students at the local college
We estimate that the average number of roommates per semester for all students at the local college is 0.7.
The best point estimate for the average number of roommates per semester for all students at the local college would be the sample mean, which is calculated as the sum of the number of roommates for all students in the sample divided by the number of students in the sample.
Using the information given in the problem, we have:
Sample size (n) = 133
Sample mean (\(\bar X\)) = 0.7
Therefore, the best point estimate for the population mean (μ) is the sample mean:
μ ≈ \(\bar X\) = 0.7
So, we estimate that the average number of roommates per semester for all students at the local college is 0.7.
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At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5. Write an equation that represents the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totaled $68.
The equation that represent the relationship of the coffees is 3x + 5y = 68.
How to represent situation with system of equation?At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.
The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:
where
x = number of medium coffees soldy = number of large coffees soldTherefore, the equation is as follows:
3x + 5y = 68
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The length of a square is 3x - 4 units. Find the area in terms of x.
Answer:
9x^2 - 24x + 16 is area in terms of x alternativly (3x-4)^2 is also true
Step-by-step explanation:
L * W = area length = width on a sqare so L * L = area too
(3x - 4) * (3x - 4)
use foil method
9x^2 - 24x + 16
Answer:
9x^2 − 24x + 16
Step-by-step explanation:
To find the area of a square, you use the formula
A = x^2
So we plug in 3x-4 for x
A = (3x-4)^2
A = 9x^2 − 24x + 16
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.T/F
The probability of the intersection of two events occurring can never be more than the probability of the union of two events occurring.
False.
It should be stated that the likelihood of the intersection of two events occurring is always less than the likelihood of the events occurring together.
It is always less likely than or equal to the likelihood of either event occurring alone for an intersection of two events, which is the chance that both occurrences take place.
In other words, the probability of the intersection and the probability of the union are subsets of one another.
The chance of the intersection of two events occurring can never be greater than the likelihood of the union of two events occurring, hence that is the right statement.
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Please help I suck at math and I have no clue how to do this!!
Answer:
a- increase slowly
b- decrease quickly
c-increase quickly
d-decrease slowly
Answer:
A: increases slowly
B: decreases quickly
C: increases quickly
D: decreases slowly
Step-by-step explanation:
What is a "gestalt"? How do the experimental examples provided in the text (Necker cube, visual cliff, etc.) help demonstrate principles of perceptual organization?; choose one example to discuss specifically.
The Kanizsa triangle illusion helps us understand that our perceptual experiences are not simply the sum of the individual sensory inputs, but rather the result of a complex and variable process of perceptual organization.
Gestalt is a German word meaning "shape" or "form," and in psychology, it refers to a set of principles that describe how people perceive and organize sensory information into meaningful wholes. These principles propose that the whole is greater than the sum of its parts, and that we tend to organize our perceptual experiences into coherent, holistic forms rather than isolated, unrelated sensations.
Experimental examples such as the Necker cube, visual cliff, and others help demonstrate principles of perceptual organization by highlighting how our minds naturally try to impose structure and order on sensory input. For example, the Necker cube is a two-dimensional drawing that can be perceived as a cube that can be viewed from different angles. However, as one stares at the image, it appears to flip back and forth between different possible interpretations. This phenomenon illustrates the Gestalt principle of figure-ground, which describes how we tend to perceive objects as being distinct from their surrounding context.
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Henry's banks said they will put 20% interest annually if he keeps at least $5,000 in his savings account. How much money in interest will the bank put Henry's account?
The amount of money that in the interest will the bank put Henry's account is $1000
If Henry keeps at least $5,000 in his savings account, the bank will put a 20% interest on it annually.
To find out how much interest Henry will earn, we can use the formula:
Interest = Principal x Rate
Where the,
Principal is the amount of money , Henry keeps in his savings account, which is $5,000 or more.
Rate is the interest rate, which is 20% or 0.20 in decimal form.
So, the interest Henry will earn is:
Interest = $5,000 x 0.20
Interest = $1,000
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find the area of shaded part
Answer:
461.81 cm²Step-by-step explanation:
Diameter of a big circle is 28 cmDiameter of smaller half-circles is 28/2 = 14 cmShaded area = Area of big circle - area of small circle as two half-circles add up to small circle
Area formula:
A = πd²/4Shaded area
π*28²/4 - π*14²/4 = 461.81 cm²Adrian and his children went into a restaurant where they sell hotdogs for $3 each
and hamburgers for $8 each. Adrian has $80 to spend and must buy no less than 12
hotdogs and hamburgers altogether. If x represents the number of hotdogs
purchased and y represents the number of hamburgers purchased.
Plzzz helppp fast
Step-by-step explanation:
16x + 4y= 80
16 (3) + 4 (8) = 80
How much greater is 0.0543 than 0.002?
Answer:
0.0523
Step-by-step explanation:
What do linear pairs make
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest cubic millimeter.
Answer:
10825 mm³
Step-by-step explanation:
Volume of cylinder shaped stack
V = πr²hV = 3.14 × (9.525)² x 38V = 119.32 x 90.725625V = 10825.3816 mm³V = 10825 mm³A continuous random variable is a random variable: A. that is derived from a random population B. whose values are countable C. that is determined by random probability D. that can assume any value in one or more intervals
What is the value of x in the diagram below? Id necessary, round your answer to the nearest tenth of a unit.
Answer:
D
Step-by-step explanation:
This uses the Altitude- on- Hypotenuse theorem
An altitude drawn to the hypotenuse of a right triangle.
The 2 triangles formed are similar to the given triangle and each other, thus
Δ BAC ~ Δ BDA
The ratios of corresponding sides are equal, that is
\(\frac{BA}{BD}\) = \(\frac{BC}{BA}\) , substitute values
\(\frac{14}{x}\) = \(\frac{30}{14}\) ( cross- multiply )
30x = 196 ( divide both sides by 30 )
x ≈ 6.5 ( to the nearest tenth ) → D
In the statement below identify the number in bold as either a population parameter or a statistic. A group of 100 students at UC, chosen at random, had a mean age of 23.6 years.
A.sample statistic
B. population parameter
The correct answer is A. Sample statistic.
A group of 100 students at UC, chosen at random, had a mean age of 23.6 years. The number "100" is a sample size, while the number in bold "23.6 years" represents the mean age. A mean age of 23.6 years is an example of a sample statistic.
A population parameter is a numerical measurement that describes a characteristic of a whole population. It is a fixed number that usually describes a property of the population, for example, the population mean, standard deviation, or proportion. It's difficult, if not impossible, to determine the value of a population parameter. For example, the proportion of individuals in the United States who vote in presidential elections is a population parameter. A sample statistic is a numerical measurement calculated from a sample of data, which provides information about a population parameter. It's used to estimate the value of a population parameter, which is a numerical measurement that describes a population's characteristics. Sample statistics, such as sample means, standard deviations, and proportions, are typically used to estimate population parameters.
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Which of the following expressions are equivalent to - (8/3)
A : 8/-3
B : - 8/-3
C : none of the above
help me please and thank you
Since the triangles are the same, just flipped that means that all angles and segments are the same as well
I'm not sure if that's the "correct" way to prove it but that's why they're equal
Answer:
Step-by-step explanation:
In ΔEGF & ΔEGH,
EF ≅ EH {given}
FG ≅ HG { midpoint theorem}
EG ≅ EG {Reflexive property}
ΔEGF ≅ ΔEGH { S S S congruent }
∠1 ≅ ∠2 {Corresponding parts of congruent triangles are equal}
(6x)^2 can be thought of as a vertical stretch by a factor of
O 6
O 36
O nothing
Which graph below shows the solutions for the linear inequality y2-x+1?
Answer:
The answer will be 1 + y2 - xDetermine whether or not each of the LTI systems whose impulse responses are specified below are (i) causal and/or (ii) BIBO stable. (a) h(t)=e−∣t∣ (b) h(t)=(1−∣t∣)[u(t+1)−u(t−1)] (c) h(t)=e2tu(−t) *(d) h(t)=e2tu(t) (e) h(t)=cos(2t)u(t) (f) h(t)=t+11u(t)
(a) The system with impulse response h(t) = e^(-|t|) is causal but not BIBO stable.(b) The system with impulse response h(t) = (1-|t|)[u(t+1)-u(t-1)] is both causal and BIBO stable.(c) The system with impulse response h(t) = e^(2t)u(-t) is neither causal nor BIBO stable.(d) The system with impulse response h(t) = e^(2t)u(t) is causal but not BIBO stable.(e) The system with impulse response h(t) = cos(2t)u(t) is causal and BIBO stable.(f) The system with impulse response h(t) = t+1/1 is both causal and BIBO stable.
(i) Causality: A system is causal if the output at any time depends only on past and present inputs. For the given impulse responses:
(a) The exponential function e^(-|t|) is symmetric around t=0, so it depends on future values and is not causal.
(b) The function (1-|t|) is a linear function that depends on both past and present inputs, making it causal.
(c) The impulse response e^(2t)u(-t) involves a unit step function with a negative argument, indicating dependence on future inputs and making it non-causal.
(d) The impulse response e^(2t)u(t) is causal as it depends on past and present inputs only.
(e) The cosine function cos(2t)u(t) is causal as it depends on past and present inputs only.
(f) The impulse response t+1 is a linear function that is causal.
(ii) BIBO Stability: A system is BIBO (Bounded-Input Bounded-Output) stable if bounded inputs produce bounded outputs. For the given impulse responses:
(a) The exponential function e^(-|t|) does not decay for large |t|, indicating that it is not BIBO stable.
(b) The function (1-|t|) is a bounded function, and the unit step function ensures boundedness, making it BIBO stable.
(c) The exponential function e^(2t) grows without bound for positive t, indicating that it is not BIBO stable.
(d) The exponential function e^(2t) grows without bound for positive t, making it not BIBO stable.
(e) The cosine function cos(2t) is bounded, and the unit step function ensures boundedness, making it BIBO stable.
(f) The linear function t+1 is bounded for any input, making it BIBO stable.
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find thevsurface area of a square pyramid wuth side length 3 km and slant height 5 km
The Total Surface Area = 4 triangles + 1 square
The TSA of the Pyramid = 4(1/2 bh) + LxL
\(\begin{gathered} d^2=3^2+3^2 \\ d^2=9+9 \\ d=\sqrt[]{18}\text{ =}\sqrt[]{9\times2}=\sqrt[]{9}\text{ }\times\sqrt[]{2}\text{ =3 }\sqrt[]{2} \end{gathered}\)\(\begin{gathered} 5^2=h^2+(\frac{3}{2})^2 \\ 25-\frac{9}{4}=h^2 \\ 25-2.25=h^2 \\ h=\sqrt[]{22.5}\text{ =1.5km} \end{gathered}\)TSA of the pyramid =
\(4(\frac{1}{2}\times5\times3)+(3^2)=(2\times15)+9=30+9=39km^2\)Need answers ASAP!!
I have 3 hours
Answer:
lolololol
Step-by-step explanation:
idek