Hello! :D
The simplified answer is: 502 + 14000x
Hope this helps! Have a wonderful day! :D
Answer:
3,960
Step-by-step explanation:
502-700= -198
-198x-400 = 79,200
79,200/20 = 3960
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years.
Step 2 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
Step-by-step explanation:
The standard deviation of the sampling distribution of sample means is given by the formula:
standard deviation = population standard deviation / sqrt(sample size)
Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:
standard deviation = 0.8 / sqrt(38)
standard deviation ≈ 0.13
Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.
In the triangle shown, XY ≌ ZY and m∠Y = 38°. What is m∠Z?
A.35.5
B.38
c.71
d.142
Answer:
c. 71°
Step-by-step explanation:
You have isosceles triangle XYZ with a.pex angle Y = 38°. You want to know the measure of angle Z.
Angle sum theoremThe base angles of the triangle are X and Z, which are congruent. The sum of all angles is 180°:
X +Y +Z = 180°
2Z +38° = 180° . . . . . . substitute for X and Y
2Z = 142° . . . . . . . . . subtract 38°
Z = 71° . . . . . . . . . . divide by 2
The measure of angle Z is 71°.
Determine the difference. 3/4 – 5/16 = ?
options:
7/4
12/16
7/16
7/0
Answer:
7/16
Step-by-step explanation:
Answer:
7/16 is the correct answer.
Step-by-step explanation:
3/4-5/16
=12-5/16 (taking LCM)
=7/16
Hope this helps you. Have a nice day. Please amrk as brainliest. It helps a lot.
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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Here’s math questions see below:Find and simplify the difference quotient f(x+h)-f(x) ___ hfor the given function: f(x)=2x-5
The given function is:
\(\begin{gathered} f(x)=2x-5 \\ f(x+h)=2(x+h)-5=2x+2h-5 \end{gathered}\)So the expression is evaluated as follows:
\(\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{2x+2h-5-(2x-5)}{h} \\ =\frac{2x+2h-5-2x+5}{h} \\ =\frac{2h}{h} \\ =2 \end{gathered}\)So the value of the expression is 2.
F(x)=(x+2)^2 (x-3) graph the function
The value of the equation f ( x ) is
f ( x ) = x³ + x² - 8x - 12
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
f ( x ) = ( x + 2 )²( x -3 ) be equation (1)
Now , on simplifying the equation , we get
f ( x ) = ( x + 2 )²( x -3 )
f ( x ) = ( x² + 4x + 4 ) ( x - 3 )
Now , multiplying each term with ( x - 3 ) , we get
f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4
f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12
On simplifying the equation ,we get
f ( x ) = x³ + x² - 8x - 12
Now , the value of the equation f ( x ) = x³ + x² - 8x - 12
On graphing the equation , we get
The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below
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I really need help on this
Answer:
a is correct
Step-by-step explanation:
it is correct because we are adding
Answer:
A
Step-by-step explanation:
If there are no other numerals, then 2 is the only answer
Find the ending balance by using simple interest$1,900 at 5.9% for 2 and three fourths years
In general, the simple interest formula is
\(\begin{gathered} A=P(1+rt) \\ P\rightarrow\text{ initial amount} \\ r\rightarrow\text{ annual interest rate} \\ t\rightarrow\text{ number of years} \end{gathered}\)Thus, in our case,
\(P=1900,r=5.9\%=0.059,t=2.75\)Therefore, finding A,
\(\begin{gathered} \Rightarrow A=1900(1+0.059*2.75) \\ \Rightarrow A=2208.275 \end{gathered}\)The exact answer is $2208.275
Rotation is a ______?
A. Spin or turn
B.slide
C.mirror or flip
D.move
HURRY PLEASE
Answer:
A) Spin or turn
Step-by-step explanation:
In circle O, secants ADB and AEC are drawn from external point A
such that points D, B, E, and C are on circle O. If AD = 8, AE = 6,
and EC is 12 more than BD, the length of BD is
(1) 6
(2) 22
(3) 36
(4) 48
The length of BD is 22.
In the given scenario, let's consider the following information.
AD = 8
AE = 6
EC is 12 more than BD.
To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.
From the given information, we know that AD = 8 and AE = 6.
Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.
First, let's find the intercepted arc corresponding to AD:
Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16
Similarly, we can find the intercepted arc corresponding to AE:
Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12
Now, we know that EC is 12 more than BD.
Let's assume the length of BD as x.
BD + 12 = EC
Now, let's consider the intercepted arcs theorem:
Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C
16 - 12 = Angle B - Angle C
4 = Angle B - Angle C.
Since Angle B and Angle C are vertical angles, they are congruent:
Angle B = Angle C.
Therefore, we can say:
4 = Angle B - Angle B
4 = 0
However, we have reached an inconsistency here.
The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.
As a result, we cannot determine the length of BD based on the given information.
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PLEASE HELP QUICK!!!!!!!
What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4?
A) 2 power 0
B) 2 power 1
C) 2 power 2
D) 2 power 3
Answer:
\(2^1\)
Step-by-step explanation:
Hello! So, to tackle this problem let's start off with writing out the formula as such! \(\frac{2^2 * 2^3}{2^4}\)
To solve this, what we can do is start off by isolating \(\frac{2^2}{2^4}\) (we can worry about \(2^3\) later). To evaluate \(\frac{2^2}{2^4}\), we're essentially just simplifying the fraction and reducing the exponents. In this case, we can reduce the power of 2 from both the numerator and denominator to get \(\frac{1}{2^2}\) (this is obtained by dividing both numerator and denominator by \(2^2\))
Once we have that, we are now essentially left with \(\frac{2^3}{2^2}\)! From here, we can apply exponent rule, which allows us to get rid of the denominator entirely and now it becomes 2^(3-2). We can subtract the numbers to then simplify it into our answer, \(2^1\) or in other words just 2!
Write x^2 - 8x + 10 in the form
(x + a)^2 + B
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
(ECONOMICS- sorry there’s no button for it )
What motivates producers and consumers in the black market
The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.
The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:
High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.
Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.
Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.
Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.
Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.
However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.
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Use function composition to determine if f(x) and g(x) are inverse functions.
f(x)=\sqrt[3]{x-1} and g(x)=x^3+1
The functions f(x) = ∛x - 1 and g(x) = x³ + 1 are inverse functions.
How to determine if the functions f(x) and g(x) are inverse functions.From the question, we have the following parameters that can be used in our computation:
Distinct Functions
The functions are represented as
f(x)=\sqrt[3]{x-1} and g(x)=x^3+1
Rewrite the functions properly
So, we have the following representations
f(x) = ∛x - 1 and g(x) = x³ + 1
Using the function compositions, the following equation must be true
f(g(x)) = x
Substitute the known values in the above equation, so, we have the following representation
f(g(x)) = ∛x³ + 1 - 1
Evaluate the like terms
f(g(x)) = ∛x³
So, we have
f(g(x)) = x
Hence, the functions are inverse functions
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3. Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam is now. How old
are they now? Solve using elimination method.
Answer:
a=22. b=42
Step-by-step explanation:
a=b-20
2a=b+2
multiply first equation by -1
add two equations
a=22
b=42
Two- fifths of a number
"Two-fifths of a number" refers to a mathematical expression where you take two parts out of five parts of a given number.
What is Two- fifths of a numberTo represent this expression algebraically, let's assume the number is "x."
Two-fifths of the number can be calculated by multiplying the number (x) by the fraction 2/5:
(2/5) * x
This expression represents two-fifths of the given number.
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2. There are 42 persons in a mathematics class, and everyone of them drinks either coffee or grape milk at
breakfast. If eighteen persons drink grape milk and ten persons drink both grape milk and coffee, how
many persons drink grape milk only, and how many drink coffee only? Draw a Venn diagram to support
your answers.
Answer:
1. 8
2. 24
Step-by-step explanation:
The number of persons that drink grape milk only :
18 - 10 = 8
The number of persons that drink coffee :
42 - 8 = 34
The number of persons that drink coffee only :
34 - 10 = 24
A carpenter bought some tools to build chairs. The cost of the materials for each chair was the same. The total cost y (tools and materials) to make x chairs is shown in the graph below. The cost of the tools was $_____ and the cost of materials for one chair was $________
Answer:
Cost of tools: $100
Cost for each chair: $25
Step-by-step explanation:
You can see that before 1 chair, the cost is at 100. This means that the cost of the tools is $100. Another way to determine this is to see that at 1 chair, the cost is $125. At 2, it's $150, and at 3 it's $175, etc. This tells you that the cost to produce each chair is $25, but it also tells you that the tools cost 100 dollars, since the total cost at 1 chair is $125, and each chair only costs $25.
Hope this helps!
Answer:
100,25
Step-by-step explanation:
A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately bell shaped with a mean of 62 jobs and a standard deviation of 12. Where do we expect most (approximately 95%) of the distribution to fall ?
The interval for a normal distribution (bell-shaped) where we expect approximately 95% of the distribution to fall is given by:
\((\mu-2\sigma,\mu+2\sigma)\)where μ is the mean and σ is the standard deviation of the distribution.
In this problem, we have:
\(\begin{gathered} \mu=62 \\ \sigma=12 \end{gathered}\)Therefore, we expect approximately 95% of the distribution to fall in the interval:
\(\begin{gathered} (62-2\cdot12,62+2\cdot12) \\ \\ (62+24,62-24) \\ \\ (38,86) \end{gathered}\)Thus, the answer is: from 38 to 86 jobs submitted per day.
Two similar parallelograms have a side ratio of 5:8. If the area of the larger parallelogram is 126 square
feet, what is the area of the smaller parallelogram?
Answer:
50.8064516129 feet squared
Step-by-step explanation:
The side ratio is 5:8, so the ratio of the areas is 25/64 (which is (5/8)^2). We then divide 126 by 62 and multiply it by 25, which gives us approximately 50.8064516129.
For the following exercises, line L is given.
a. Find point P that belongs to the line and direction vector v of the line. Express v in component form.
b. Find the distance from the origin to line -x=y+1, z=2
a. Point P on the line and the direction vector v of the line can be expressed as P = (x0, y0, z0) + t(a, b, c).
b. The distance from the origin to the line -x=y+1, z=2 is the shortest distance between a point and a line.
Here (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector. To find (x0, y0, z0) and (a, b, c), we need more information about the line.
This formula involves taking the dot product of the direction vector of the line and the difference between a point on the line and the origin. Again, we need more information about the line in order to calculate this distance.
Without more information about line L, it is not possible to find the point P or the distance from the origin to the line.
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93) A quarter weighs 5.67 grams. How much does the quarter weigh in
centigrams?
NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?
Answer:
3/10
Step-by-step explanation:
add all the marbles together4+6+10
=20
probability of picking a white marble is6/20
=3/10
Solve for t:
t + 1 = 24
A. t = 23
B. t = 25
C. t = 31
D. t = 20
Answer:
t = 25
Step-by-step explanation:
T is 25 because you take 1 away from the t+1 side and add the 1 to the 24 side.
JKLM is a rhombus.
m/JMN = (-x+69)*
mZLMJ = (-6x +166)
K
N
M
Find the mZLKN.
label optional
The angle LKN in the rhombus is 62 degrees.
How to find angles in a rhombus?A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.
Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.
Therefore, let's find ∠LKN as follows:
m∠JMN = (-x + 69)
m∠LMJ = (-6x + 166)
Therefore,
1 / 2 (-6x + 166) = -x + 69
-3x + 83 = -x + 69
-3x + x = 69 - 83
-2x = -14
x = -14 / -2
x = 7
Therefore,
∠LKN = 1 / 2 (-6x + 166)
∠LKN = 1 / 2 (-6(7) + 166)
∠LKN = 1 / 2 (-42 + 166)
∠LKN = 62 degrees
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What is the solution to this equation? -12x - 7 = 53 Responses a) -5 a) -5 b) 5 b) 5 c) -3.83 c) -3.83 d) 3.83
Answer:
D
Step-by-step explanation:
You can buy a car for $5995.67 cash or pay $759.00 as a down payment and $129.95 a month for 4 years.
How much more does the installment plan cost than paying cash?
A. $1000.93
B. $241.93
C. $507.43
D. $2475.27
E. $99.27
well, if you had the cash right now, you can put it down cold for 5995.67 bucks
OR
put as a downpayment now 759 and then over 48 months pay 129.95 each month, well, 129.95 48 times is 129.95 * 48 = 6237.6, now let's add the 759 down and that's 6237.6 + 759 = 6996.6.
well, heck if you had the cash it'd be 5995.67, if you don't is 6996.6, their difference is 6996.6 - 5995.67 = 1000.93.
Select the correct answer.
What is V200in simplest form?
OA. 2/10
OB.
1072
O C. 100/2
OD
20/10
Darot
Answer:
Step-by-step explanation:
If you mean √200, you cannot write it as V200.
√200 = √(10²×2) = 10√2
Answer:
B.) 2/10
Step-by-step explanation:
Question 17 (1 point)
Bicycle, a company that makes dice, is looking to change the size of the dice they produce. The current dice have edge lengths of 5mm, and the company wants to increase them to 15mm. How will the volume of the dice be effected if this change is made?
Question 17 options:
30x larger
3x larger
10x larger
27x larger
Answer:
3x
Step-by-step explanation:
Name the parallel segment