Answer:
9a +7b-11
Step-by-step explanation:
(9a+3b-5) + (4b-6)
Combine like terms
9a + 3b+4b -5-6
9a +7b-11
Answer:
9a +7b-11
Step-by-step explanation:
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
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.
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
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 :-)
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.
9.3 with a bar on top as a fraction
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.
Someone please help me!!!
Answer: Answer is B
Step-by-step explanation:
Remeber that the shorter a container is doesn't mean it has less mass or volume. the width can mean it holds more. If the radius is twice as big that can mean the contents is more and your getting a better deal. hOpe this will help.
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 :)
Carli has 42 tacos to put in 7 boxes. Each box has the same number of tacos. How many tacos are in each box?
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 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).
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
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
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:
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.
factor: 10xsquared -11x-6=
Answer:
(5x+2)(2x-3)
Step-by-step explanation:
this is the answer
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%
help me pls i dont know what to do
The answer is the last one: k = 5
Hope I helped and good luck!
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!
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
HELP ME ASAP PLEASE
Answer:
Radius AC=12
Step-by-step explanation:
AB is a tangent to circle c so the tangent AB is perpendicular to the radius at A.
Then triangle ABC is right triangle at A.
So by Pythagoras theorem,
CB^2=AB^2 + AC^2
37^2= 35^2 + AC ^2
1369=1225 + AC^2
AC^2= 1369-1225= 144
AC=radical AC^2 =radical 144=12
Hope this helps...
(Note: ^ means power)
Answer:
AC = 12
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
AC ^2 + AB ^2 = CB^2
AC ^2 +35^2 = 37^2
AC ^2 +1225=1369
Subtract 1225
AC^2 = 1369-1225
AC ^2 =144
Take the square root of each side
AC = sqrt(144)
AC = 12
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
Determine the intercepts of the line.
Y+1=3(x - 4)
X-intercept:
y-intercept:
Answer:
x-intercept: (13/3, 0)
y-intercept: (0, -13)
Step-by-step explanation:
y+1 = 3x-12
y= 3x-13
For y-intercept:
y= 3(0) -13
y=-13
For x-intercept:
0=3x-13
3x=13
x=13/3
The intercepts of the line will be,
x-intercept: (13/3, 0)
y-intercept: (0, -13)
What is an intercept?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
Given that y+1=3(x - 4). The x-intercept and y-intercept will be calculated as,
y+1 = 3x-12
y= 3x-13
For y-intercept:
y= 3(0) -13
y=-13
For x-intercept:
0=3x-13
3x=13
x=13/3
Therefore, the x-intercept is (13/3, 0) and the y-intercept is (0, -13).
To know more about an intercept follow
https://brainly.com/question/24990033
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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
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%
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
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
Solve the equation.
29= p x 20
p= __
Answer:
1.45
Step-by-step explanation:
1. divide both sides of the equation by 20 to get rid of the 2o on the right side
[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]
now u end up with 1.45=p
hope it helped
