Answer:
$484.06
Subtract 1084.12 from 2052.24 and that equals 968.12 then you divide that by 2
Which equation is not written in slope-intercept form?
Answer:
B) 2x - 5 = 2y + 14
Step-by-step explanation:
slope intercept form: y = mx + b
B) 2x - 5 = 2y + 14 is the only answer choice that does not isolate y, and place all other terms on the other side; therefore, is your answer.
~
Answer:
B
Step-by-step explanation:
slope intercept is a formula of y=mx+b all other answers proposed give a form of slope intercept, but with Choice B you have to do math to convert it to slope intercept.
What is the degree of
6x^5 – 4x^2 + 2x^2 - 3 + x?
A. 3
B. 5
C. 6
D.2
Hello!
Answer:[tex]\boxed{ \bf The~degree~of~the~polynomial~is~B.~5}[/tex]
___________________________________________
Explanation:The term with the greatest exponent determines the degree of the polynomial.
Let's list all the terms:
[tex]6x^{5}[/tex]-4x²2x²-3xOut of all of these terms, the first one has the greatest exponent (5).
Oline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Answer:
The solution to the equation are [tex]5+\frac{\sqrt{42} }{2\\} \ and \ 5-\frac{\sqrt{42} }{2\\}\\[/tex]
Both of his values are positive real numbers
Step-by-step explanation:
The general formula of a quadratic equation is expressed as [tex]ax^{2}+bx+c = 0\ where;\\x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]
Given the expression 0 = x² – 5x – 4 which can be rewritten as shown below;
x² – 5x – 4 = 0
Comparing this to the general equation; a = 1, b = -5, c= -4
To get the solution to the quadratic equation, we will use the general formula above;
[tex]x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}\\x = -(-5)\±\frac{\sqrt{(-5)^{2}-4(1)(-4) } }{2(1)}\\\\x = 5\±\frac{\sqrt{25+16 } }{2}\\x =5\±\frac{\sqrt{41} }{2}\\x = 5+\frac{\sqrt{42} }{2}\ and \ 5-\sqrt{42} /2\\[/tex]
Both of his values are positive real numbers
Answer: D.–0.7
Step-by-step explanation: hope this helps :)
For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =
Answer:
We have to questions here where we need to find the distance from the origin to each given point.
For (3,4).The formula for distance is
[tex]s=\sqrt{x^{2}+y^{2} }[/tex]
[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]
Therefore, the value s that yields the coordinate (3,4) is 5 units.
For (9,1).[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]
Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.
The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
The coordinates are given as:
(3,4) and (9,1)
The single value that yields the coordinates is calculated as:
[tex]s = \sqrt{x^2 + y^2}[/tex]
For (3,4), we have:
[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]
For (9,1), we have:
[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]
Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
Read more about coordinates at:
https://brainly.com/question/17206319
write 42 as a product of prime factors
We can create a prime factorization tree using the multiples of 42:
42
21 2
7 3
We multiply the numbers that aren't divisble by anything.
7 * 3 * 2 = 42
Best of Luck!
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer:
The total earned after 30 days is 465000.
Step-by-step explanation:
The amount of money that I'll recieve can be modelled as a arithmetic sequence in which the next element is related to the prior by a sum of a rate "q". This sequence can be seen below:
{1000, 2000, 3000, ...}
Where q = 1000. In order sum all the "n" terms on a sequence of this kind we can use the following formula:
Sn = (n/2)*(a1 + an)
And to find the term an, we can use the formula:
an = a0 + (n-1)*r
Where n is the position of the number we want to calculate, in this case 30, a0 is the first number on the sequence and r is the rate between consecutive numbers. So the 30th term is:
a30 = 1000 + (30 -1)*1000
a30 = 1000 + 29*1000
a30 = 1000 + 29000 = 30000
And the total obtained is:
s30 = (30/2)*(1000 + 30000) = (30/2)*(31000)
s30 = 930000/2 = 465000
The total earned after 30 days is 465000.
9.3 with a bar on top as a fraction
What are they?
Equal Lines?
Parallel Lines?
perpendicular Lines?
None of the above?
Answer:
Equal lines
Step-by-step explanation:
-5x-y = -4
Multiply by 3
-15x -3y = -12
This is the same as the second equation
That means the lines are the same
They are equal lines
Is a percent increase for 50 to 70 = to the percent decrease from 70 to50
Answer:
no it is not.
Step-by-step explanation:
%increase = 40% while %loss = about 28.6%
The height of a trapezoid is 16in. The bases are 32in and 24in. What is the area of the trapezoid.
Answer:
448in^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(32+24)/2*16=28*16=448 in^2
What is the theoretical probability of rolling a 3?
Answer:
1/6
Step-by-step explanation:
the number on the bottom of the fraction (denominator) is equal to the total number of possibilities (in this case there are 6 possibilities). for the number on top (the numerator) we are trying to work out the probability of rolling a 3. a 3 is only 1 of the 6 options (1, 2, 3, 4, 5, 6) so the number on top is 1.
I hope this was helpful :-)
Which equation could be used to find the length of the hypotenuse?
Answer:
A
Step-by-step explanation:
Answer:
6^2+11^2 = c^2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2+11^2 = c^2
can someone pls help me
Answer:
45 + x * 0,5 < 50
x * 0,5 < 50 - 45
x * 0,5 < 5
x < 5/0,5
x < 10
Please help me with logarithms!
Answer:
x=2ln(2)/(2ln(2)-ln(3))
Step-by-step explanation:
ln(4^x-1)=ln(3^x)
(x-1)ln(4)=ln(3^x)
(x-1)ln(4)=xln(3)
ln(4)x-ln(4)=xln(3)
ln(4)x=ln(3)x+2ln(2)
2ln(2)x-ln(3)x=2ln(2)
(2ln(2)-ln(3))x=2ln(2)
Therefore, x=2ln(2)/(2ln(2)-ln(3))
Answer:
4.819 =x
Step-by-step explanation:
4^(x-1) = 3^x
Take the log of each side
log (4^(x-1)) = log(3^x)
We know that log a^b = blog a
(x-1) log 4 = x log (3)
Distribute
x log 4 -log 4 = x log 3
Subtract x log 4 from each side
x log 4 - x log 4 -log 4 = x log 3 - x log 4
- log 4 = x log 3 - x log 4
Factor out -x
- log 4 =- x ( log 4- log 3)
Divide by -1
log 4 = x (log 4 - log 3)
Divide each side by (log 4 - log 3)
log 4 / (log 4 - log 3) = x
4.81884167930641800 =x
Round to the nearest thousandth
4.819 =x
Study the topographic map.
Which best describes the location of the picnic area?
X 877
Two creeks flow through the picnic area.
Several steep slopes are found inside the picnic area.
The elevation changes from 635 to 600 at the picnic area.
The highest point inside the picnic area has an elevation
of 859.
5
800
700
Equation
700
635
+ Picnic Area
600
Answer:
The correct answer is C) The elevation changes from 635 to 600 at the picnic area.
Q1: Tyson is taking his basketball team to watch a college basketball game. He bought 8 tickets for $168 $ 168 . One parent bought her son's ticket separately and paid $24 $ 24 . Who had the better deal?
Answer:
Tyson had the better deal
Step-by-step explanation:
We simply want to know who paid less for the ticket.
Tyson bought 8 tickets for the members of his basketball team and it cost it $168 in total.
The cost of each ticket is therefore:
168 / 8 = $21
He paid $21 for each ticket.
The parent bought her son's ticket for $24.
Therefore, Tyson had the better deal because he paid $3 less than the woman.
The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I (d B) = 10 log left-bracket StartFraction I Over I Subscript 0 Baseline EndFraction Right-bracket, where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when I = 10 Superscript 32 Baseline (I Subscript 0)?
Answer:
The intensity in decibel is 320 decibelStep-by-step explanation:
Given the intensity, or loudness, of a sound measured in decibels (dB), according to the equation [tex]I (dB)= 10log(\frac{I}{Io} )[/tex] where;
I is the intensity of a given sound and
[tex]Io[/tex] is the threshold of hearing intensity
To get I(dB) when [tex]I=10^{32} Io[/tex]
We will substitute the value of I = [tex]I=10^{32} Io[/tex] into the equation above to have;
[tex]I (dB)= 10log(\frac{10^{32}Io }{Io} )\\I(dB)=10log10^{32}\\ I(dB)=32*10log10\\[/tex]
Since log10 = 1;
[tex]I(dB)=32*10(1)\\I(dB)=320[/tex]
The intensity in decibel is 320 decibel
Answer:
Its D or 80
Step-by-step explanation:
I=10^8 (I subscript 0) can be written as I/I subscript 0, and you can plug that right into the log to get 80.
factor: 10xsquared -11x-6=
Answer:
(5x+2)(2x-3)
Step-by-step explanation:
this is the answer
Question 5
5 pts
Elijah spent $5.25 for lunch every day for 5 school days. He spent $6.75 on Saturday.
How much did he spend in all?
Answer:
$35
Step-by-step explanation:
$5.25 x 5 days=$26.25
then $26.25 + 6.75= $33
Suppose 30% of a population possess a given characteristic. If a random sample of size 1200 is drawn from the population, then the probability that less than 348 possess that characteristic is
Answer:
The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.
Step-by-step explanation:
I am going to use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this question, we have that:
[tex]n = 1200, p = 0.3[/tex]
So
[tex]\mu = E(X) = np = 1200*0.3 = 360[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.3*0.7} = 15.8745[/tex]
The probability that less than 348 possess that characteristic is
Using continuity correction, this is P(X < 348 - 0.5) = P(X < 347.5), which is the pvalue of Z when X = 347.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{347.5 - 360}{15.8745}[/tex]
[tex]Z = -0.79[/tex]
[tex]Z = -0.79[/tex] has a pvalue of 0.2148.
The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.
The population follows a normal distribution.
The probability that less than 348 possess that characteristic is 0.2248
The given parameters are:
[tex]\mathbf{n = 1200}[/tex]
[tex]\mathbf{p = 30\%}[/tex]
Start by calculating the mean:
[tex]\mathbf{\mu =np}[/tex]
[tex]\mathbf{\mu =1200 \times 30\%}[/tex]
[tex]\mathbf{\mu =360}[/tex]
Calculate the standard deviation
[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{360(1 - 30\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{252}}[/tex]
[tex]\mathbf{\sigma = 15.87}[/tex]
Calculate the z-score
[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]
Where:
x = 348
So, we have:
[tex]\mathbf{z = \frac{348 - 360}{15.87}}[/tex]
[tex]\mathbf{z = -\frac{12}{15.87}}[/tex]
[tex]\mathbf{z = -0.7561}[/tex]
So, the probability is represented as:
[tex]\mathbf{P(x < 348) = P(z < -0.7561)}[/tex]
From the z-table of probabilities, we have:
[tex]\mathbf{P(x < 348) = 0.2248}[/tex]
Hence, the probability that less than 348 possess that characteristic is 0.2248
Read more about probabilities at:
https://brainly.com/question/11234923
Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is 400 hours. What percent of light bulbs burn out within 12,300 hours?
Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
Which student wrote an equation with a solution of x = -8
Jenna: -3 ( x - 9 ) = -3
Archer: 4 ( 2x - 16 ) = 16
both
neither
jenna
archer
Answer:
Neither
Step-by-step explanation:
Both equations are x=10
PLEASE ANSWER ASAP will give beau ly
Answer: 23
Hope this helps :D
Answer:
h=39+16t
Step-by-step explanation:
Simplifying
h(t) = 16t2 + 39t
Multiply h * t
ht = 16t2 + 39t
Reorder the terms:
ht = 39t + 16t2
Solving
ht = 39t + 16t2
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by 't'.
h = 39 + 16t
Simplifying
h = 39 + 16t
if an integer from 3 through 14 is chosen at random, what is the probability that the number chosen is not prime
Answer:
Step-by-step explanation:
prime: 3 5 7 11 13
P(notprime) = (12-5)/ 12 = 7/12
A. The amount of water in a tank t minutes after it has started to drain is given by = 100( − 15) 2 . I. At what rate is the water running out at the end of 5 minutes? Ii. What is the average rate at which the water flows out during the first 5 minutes?
Answer:
a)-2000
b)-2500
Step-by-step explanation:
Given:
W(t) = 100(t-15)²
applying derivation on both sides
W'(t) = 200(t-15)
->a) At what rate is the water running out at the end of 5 minutes?
Evaluating at t=5
W'(5)= 100(5-15) =>200(-10)
W'(5)=-2000
->b) What is the average rate at which the water flows out during the first 5 minutes?
[tex]\frac{W(5)-W(0)}{5-0} =\frac{100(5-15)^2*100(0-15)^2}{5} =>\frac{10000-22500}{5}[/tex]
=>-2500
PICK ME!!
How do you use congruence and similarity criteria to prove relationships in geometric figures?
Answer:
Well, as it turns out, when two figures are similar or congruent, they have certain properties, and these properties can be used to prove relationships between the figures. When two figures are similar figures, they have the following properties: Corresponding angles have equal measure.
Step-by-step explanation:
Annette plans to visit an amusement park where she must pay for admission and
purchase tickets to go on the rides. Annette wants to find the total cost for a day at
the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost
for a day at the amusement park. What could the number 12 represent in Annette’s
equation?
Answer:
...
Step-by-step explanation:
Answer: the cost of admission
Step-by-step
A cube has side length a.The side lengths are decreased to 30% of their original size.Write an expression in simplest form for the volume of the cube in terms of a.
Answer:
Volume V = 0.027a^3
Step-by-step explanation:
Let a represent the length of the side length of the cube.
a.The side lengths are decreased to 30% of their original size;
l = 30% of a
l = 0.3a .....1
The volume of a cube can be expressed as;
V = l × l × l
V = l^3 .......2
Where;
l = side length
Substituting the value of l into equation 2;
V = l^3 = (0.3a)^3
V = 0.027a^3
Volume V = 0.027a^3
What is the measure of 0 in radians?
Enter an exact expression.
radians
3
7
In the diagram, is a central angle.
Answer:
Θ = π radians
Step-by-step explanation:
The central angle is equal to the arc that subtends it, that is
Θ = π
Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned} t− 5 3 t− 5 3 + 5 3 t = 5 4 = 5 4 + 5 3 =1 Step 1 Step 2 Find Michelle's mistake. Choose 1 answer: Choose 1 answer:
Answer:
Step 2
Step-by-step explanation:
Michelle's step in trying to solve the equation is given below:
[tex]\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}[/tex]
Michelle made a mistake in Step 2.
The right hand side of Step 1: [tex]\dfrac45+\dfrac35\neq 1[/tex]
Rather, the correct sum is:
[tex]\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25[/tex]
Answer:
Its 1/5
Step-by-step explanation:
Khan
