Answer:
12=34+45
Step-by-step explanation:
34+12=34
What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
a hotel provides free parking for guests and charges 225 per night passion y equals total cost to stay at the hotel Annex equals number of night
help pls important!!!!!!!!!
Answer:
y = 225(x)
Step-by-step explanation:
Given:
Cost per night = 225
Total cost = y
Number of nights = x
Computation:
Total cost = (Cost per night)(Number of nights)
So,
y = 225(x)
NO LINKS!! Please assist me with this problem Part 1m
Answer:
(x + 8)² + (y - 8)² = 64=======================
Given ConditionsTangent to x-axis,Tangent to y-axis,In the second quadrant,Radius is 8 units.SolutionEquation of circle:
(x - h)² + (y - k)² = r², where (h, k) is center and r - radiusThe center is the radius long distance from the x- axis to left and y-axis up same distance, this makes it in the second quadrant.
So the coordinates of the center are:
x = - 8, y = 8The equation is:
(x - (-8))² + (y - 8)² = 8²(x + 8)² + (y - 8)² = 64Answer:
\((x+8)^2+(y-8)^2=64\)
Step-by-step explanation:
Required conditions:
Tangent to both axes.Center in the second quadrant.Radius = 8 units.If the circle is tangent to both axes, its center will be the same distance from both axes. That distance is its radius.
If the center of the circle is in quadrant II, the center will have a negative x-value and a positive y-value → (-x, y).
Therefore, the coordinates of the center will be (0-r, 0+r) where r is the radius.
If the radius is 8 units, then the center is (-8, 8).
\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)
Substitute the found center and given radius into the formula to create an equation for the circle that satisfies the given conditions:
\(\implies (x-(-8))^2+(y-8)^2=8^2\)
\(\implies (x+8)^2+(y-8)^2=64\)
Which of the following is NOT an example of a non-fiction text?
A. Romance novel
B. Magazines
C. Biographies and autobiographies
D. Newspapers
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2011 can be modeled byy = 269573/1+985e^-0.308t where t represents the year, with t = 5 corresponding to 1985. Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006.
Answer:
(a) 3178
(b) 14231
(c) 33152
Step-by-step explanation:
Given
\(y = \frac{269573}{1+985e^{-0.308t}}\)
Solving (a): Year = 1998
1998 means t = 8 i.e. 1998 - 1990
So:
\(y = \frac{269573}{1+985e^{-0.308*8}}\)
\(y = \frac{269573}{1+985e^{-2.464}}\)
\(y = \frac{269573}{1+985*0.08509}\)
\(y = \frac{269573}{84.81365}\)
\(y = 3178\) --- approximated
Solving (b): Year = 2003
2003 means t = 13 i.e. 2003 - 1990
So:
\(y = \frac{269573}{1+985e^{-0.308*13}}\)
\(y = \frac{269573}{1+985e^{-4.004}}\)
\(y = \frac{269573}{1+985*0.01824}\)
\(y = \frac{269573}{18.9664}\)
\(y = 14213\) --- approximated
Solving (c): Year = 2006
2006 means t = 16 i.e. 2006 - 1990
So:
\(y = \frac{269573}{1+985e^{-0.308*16}}\)
\(y = \frac{269573}{1+985e^{-4.928}}\)
\(y = \frac{269573}{1+985*0.00724}\)
\(y = \frac{269573}{8.1314}\)
\(y = 33152\) --- approximated
In 8 hours, Jose can bake 288 cupcakes. How many
cupcakes per hour can he bake?
Answer:
36
Step-by-step explanation:
Okay I don’t know how much it would be Question number 4
ANSWER
D) 9/2
EXPLANATION
Function f(x) is a linear function, whose equation is given in slope-intercept form,
\(y=mx+b\)Where m is the slope and b is the y-intercept. In other words, the slope is the constant that multiplies x, in this case, 9/2.
Hence, the slope of the graph of y = f(x) in the xy-plane is 9/2.
i dont understand this
We can Add 7 black beads to make ratio 3 : 1.
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (b meaning black)b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
We need 9 black beads in total.
Check answer
9 : 3
Both sides divisible by 3; reduce ratio
= 3 : 1
Which is Correct ratio
Hence, There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore , we need to add 7 black beads.
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Divide 7 by 4 then add f to the results
Answer:
1.78f
Step-by-step explanation:
7/4=1.78 and then you add f
Let V be the space spanned by the two functions cos(t) and sin(t). Find the matrix A of the linear transformation T(f(t))=f′′(t)+3f′(t)+7f(t) from V into itself with respect to the basis {cos(t),sin(t)}.
Answer: The matrix A of the linear transformation T(f(t)) = f''(t) + 3f'(t) + 7f(t) from the space spanned by the functions cos(t) and sin(t) into itself with respect to the basis {cos(t), sin(t)} can be found by computing the images of the basis vectors under T and expressing those images as linear combinations of the basis vectors.
We have:
T(cos(t)) = -cos(t)'' - 3cos(t)' - 7cos(t) = -cos(t) - 3(-sin(t)) - 7cos(t) = -8cos(t) - 3sin(t)
T(sin(t)) = -sin(t)'' - 3sin(t)' - 7sin(t) = -sin(t) - 3cos(t) - 7sin(t) = -8sin(t) + 3cos(t)
So, with respect to the basis {cos(t), sin(t)}, the matrix A is:
A = [ -8, -3; 3, -8 ]
This is the matrix representation of the linear transformation T with respect to the basis {cos(t), sin(t)}.
Step-by-step explanation:
can anyone solve? I need to finish my algerbra nation. The question asks what the equivlent radical expression?\(\sqrt[3]{m^{2}n^5 }\)
Answer:
3 n 2 | m | √ n
Step-by-step explanation:
Hope this helps
Answer:
m2/3 5/3
Step-by-step explanation:
(mrh ch03-3007n) you have a binomial random variable with probability of success 0.6. assume the trials are independent and p remains the same over each trial. what is the probability of more than 3 successes if you have 6 trials? (do not count the situation with exactly 3 successes.) in other words, what is pr(x > 3)? enter your answer as a number between 0 and 1 and carry it to three decimal places. for example, if you calculate 12.34% as your answer, enter 0.123.
The probability of more than 3 successes in 6 trials with a probability of success of 0.6 is 0.4558.
To calculate the probability of more than 3 successes in 6 independent trials with a binomial distribution where the probability of success is 0.6, we can use the cumulative distribution function (CDF) of the binomial distribution:
Pr(x > 3) = 1 - Pr(x ≤ 3)
To find Pr(x ≤ 3), we can use the binomial probability mass function (PMF) for each possible value of x and add them up:
Pr(x = 0) = (6 choose 0) × 0.6^0 × 0.4^6 = 0.0041
Pr(x = 1) = (6 choose 1) × 0.6^1 × 0.4^5 = 0.0409
Pr(x = 2) = (6 choose 2) × 0.6^2 × 0.4^4 = 0.1536
Pr(x = 3) = (6 choose 3) × 0.6^3 × 0.4^3 = 0.3456
Therefore, Pr(x ≤ 3) = 0.0041 + 0.0409 + 0.1536 + 0.3456 = 0.5442
Finally, we can calculate Pr(x > 3) as follows:
Pr(x > 3) = 1 - Pr(x ≤ 3) = 1 - 0.5442 = 0.4558
Therefore, the probability is 0.4558
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Which expression is equivalent to this polynomial?
(4x + 3)(3x-8)
Answer:
12x^2-23x-24
Step-by-step explanation:
use foil(first, outside, inside, last):
12x^2-32x+9x-24
simplify(combine like terms):
12x^2-23x-24
Answer:
\(f(x) = (4x + 3)(3x - 8) \\ f(x) = 12 {x}^{2} - 32x + 9x - 24 \\ \boxed{f(x) = 12 {x}^{2} - 23x - 24}\)
Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
Calculate the price of a zero-coupon bond that matures in five years if the market interest rate is 7.50 percent. (Assume semiannual
compounding and $1,000 par value.)
Multiple Choice
Based on the information given, the price of the zero coupon bond is $692.04.
How to solveTo calculate the price of a zero coupon bond, we need to use the following formula:
\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)
Where:
P = price of the bondF = face value of the bondr = annual interest raten = number of compounding periods per yeart = time to maturity in yearsAlso, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.
Plugging in the values into the formula, we get:
\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)
\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)
\(\sf P = \dfrac{1000}{1.4450}\)
\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)
Therefore, the price of the zero coupon bond is $692.04.
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Calculate the standard deviation of the following data set:
0000000000
0000000000
Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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what is the value of n in the equation -1/2(2n +4) + 6 = -9 + 4 (2n +1)
Answer:
n=1
Step-by-step explanation:
-n+4=8n-5
9=9n
n=1
hope that helps
Between what two multiples of ten is 328
Answer:
It's between 32 (which is 320) and 33 (which is 330).
Step-by-step explanation:
328 / 10 = 32.8
find HCF OF 78,175,195
Answer:
not possible as you cannot factories any more
☽------------❀-------------☾
Hi there!
~
The factors of 78 are: \(1, 2, 3, 6, 13, 26, 39, 78\)
The factors of 175 are: \(1, 5, 7, 25, 35, 175\)
The factors of 195 are: \(1, 3, 5, 13, 15, 39, 65, 195\)
So the GCF is 1
❀Hope this helped you!❀
☽------------❀-------------☾
HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
The Empire State Building is 1,250 feet tall. Maria wants to make a model that has a scale of 1/4 foot = 50 feet. How to tall will her model be?
Answer: 25 Feet.
Step-by-step explanation: 1,250 % 50.
Amy sold 338 flowers at the market today. If each bunch has 13 flowers in it, how many bunches did Amy sell?
A. 24
B. 26
C. 62
D. 23
Answer:
26
Step-by-step explanation:
338 / 13 = 26
26 batches of 13 flowers are equal to 338.
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
Can someone please solve this (and if you do please explain how and why you solved it that way)
Answer:
502.4 yd^2 for the first one
Step-by-step explanation:
For the first one, because the formula to find the lateral surface value is L.S.A = 2πrh, we can then plug in the values to get this:
2(3.14)(2)(40) = 502.4 yd ^2
Verónica Ana y Luis pintan una barda y les pagan 300 cuánto dinero debería recibir cada quien
Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.
Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).
Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.
Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.
Solve the system of equations.
2x − 5y = 3
x − 3y = 1
The answers are:
x = 4y = 1Step-by-step explanation:=> 2x − 5y = 3x − 3y = 1
=> 2x - 5y = 32x - 6y = 2
=> 2x - 5y = 3-2x + 6y = -2
=> y = 1=> 2x - 5(1) = 3=> 2x - 5 = 3=> 2x = 8=> x = 4Hence, the answers are:
x = 4y = 1\(BrainiacUser1357\)
Katia placed the rest of the stickers on pages 2 and 3 of her scrapbook, as
shown below
Complete the expression below to represent the total number of stickers on
pages 2 and3
The expression can be completed as 4 × (4 + 3)
How to complete the expression?A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.
Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.
Looking at the pages:
On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:
4 × (4 + 3)
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2. A local manufacturing firm produces four different metal products, each of which must be machined, polished and assembled. the specific times requirements ( in hours) for each products are as follows
Machining hours Polishing hours Assembling hours
Product I 3 1 2
Product II 2 1 1
Product III 2 2 2
Pruduct IV 4 3 1
Step-by-step explanation:
To find the total time required to produce each product, we can add up the machining, polishing, and assembling hours for each product. For example, for Product I, the total time required would be:
Total time for Product I = 3 hours + 1 hour + 2 hours = 6 hours
We can do this for each product to find the total time required for all four products:
Total time for Product I = 3 hours + 1 hour + 2 hours = 6 hours
Total time for Product II = 2 hours + 1 hour + 1 hour = 4 hours
Total time for Product III = 2 hours + 2 hours + 2 hours = 6 hours
Total time for Product IV = 4 hours + 3 hours + 1 hour = 8 hours
So, the total time required to produce all four products is 6 hours + 4 hours + 6 hours + 8 hours = 24 hours.
At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60. Which option has the lesser price?
Answer:
The 8-pack is better value
Step-by-step explanation:
$7.50/6 = $1.25 per ball
$9.60/8 = $1.20 per ball
The 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.
For:
At a toy store, Colton can buy a package of 6 mini footballs for $7.50
Each ball price
$7.50/6 = $1.25 per ball
Each ball price
$9.60/8 = $1.20 per ball
The 8-pack is a better value
Thus, the 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.
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