The solution of the inequality given is b < 64
the graph is attached
How to solve for bIn the equation, let us replace b with x
To solve the inequality x/8 < 8 for x, we need to isolate x on one side of the inequality.
We can do this by multiplying both sides of the inequality by 8, which will cancel out the 8 in the denominator on the left side:
Therefore, the solution to the inequality x/8 < 8 is x < 64.
This means that any value of x that is less than 64 will make the inequality true.
Learn more about inequality at
https://brainly.com/question/25275758
#SPJ1
What is the answer for this problem and tell me how it is correct.
Answer:
Step-by-step explanation:
D is the correct answer.
Answer:
D
Step-by-step explanation:
By reading the graph, place the art museum at location (5,5). Then check all the locations to see which statement is true.
A is not true because the art museum is located 4 units east and 1 unit north from the coliseum.
B is not true because the art museum is located 3 units east and 3 units north of the smith's tower.
C is not true because the art museum is located 1 unit east and 2 units north of the state capital.
This is why D is the correct answer.
Hi can someone please help me? Look in the picture. I’ll give brainly if you explain :)
The trajectory of a golf ball hit from a tee on the ground at an angle of 40 degrees with an initial speed of 50 meters per second can be modeled by the parabola f(x) = 0.84x − 0.0033x^2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the golf ball travels before hitting the ground.
Therefore, the horizontal distance the golf ball travels before hitting the ground is approximately 254.55 meters.
What is equation?In mathematics, an equation is a statement that shows the equality between two expressions, typically separated by an equal sign (=). An equation can contain one or more variables, which are symbols that represent unknown or varying values. The value of the variable(s) can be found by solving the equation.
Here,
The equation of the parabolic trajectory of the golf ball is given by:
f(x) = 0.84x - 0.0033x²
where x is the horizontal distance travelled by the ball and f(x) is the corresponding height at that distance. To find the highest point of the trajectory, we need to find the vertex of the parabola. The x-coordinate of the vertex is given by:
x = -b / 2a
where a and b are the coefficients of the quadratic term and the linear term in the equation of the parabola, respectively. In this case, we have:
a = -0.0033 and b = 0.84
Substituting these values into the formula, we get:
x = -0.84 / 2(-0.0033)
= 127.27
So the horizontal distance at the highest point of the trajectory is approximately 127.27 meters. To find the height of the highest point, we substitute this value of x into the equation of the parabola:
f(127.27) = 0.84(127.27) - 0.0033(127.27)²
f(127.27) ≈ 21.67
So the highest point of the trajectory is approximately 21.67 meters above the ground.
To find the horizontal distance the golf ball travels before hitting the ground, we need to find the two values of x where the height of the ball is zero (i.e., where the ball hits the ground). We can set f(x) = 0 and solve for x:
0 = 0.84x - 0.0033x²
0.0033x² = 0.84x
x = 0 or x = 254.55
So the golf ball hits the ground twice, once at x = 0 (i.e., where it was hit from the tee) and once at x ≈ 254.55 meters.
To know more about equation,
https://brainly.com/question/28243079
#SPJ1
Find the sum of the arithmetic sequence: 7+11+15+19+...+83+87.
The sum of the arithmetic sequence is 987
What is arithmetic sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence.
For example, the sequence, 2,4,6,8,10... is an arithmetic sequence.
The sum of an arithmetic sequence is given as;
Sn=n/2[2a+(n−1)d]. Where d is the common difference and a is the first term.
the last term is 87
therefore;
87= 7+(n-1) 4
87= 7+4n-4
91-7 = 4n
84 = 4n
n = 84/4
n = 21
therefore 87 is the 21st term
Sn=n/2[2a+(n−1)d]
= 21/2(2×7+(21-1)4
= 21/2 ( 14+80)
= 21×94/2
= 987
therefore the sum of the arithmetic sequence is 987
learn more about Arithmetic sequence from
https://brainly.com/question/6561461
#SPJ1
Frank spends $90 on his $1800 monthly income what percent of monthly check does not go toward food
If Frank spends $90 on his $1800 monthly income, then 95 percent of monthly check does not go toward food.
Let's say Frank spends $90 on food and has a monthly income of $1800. We can calculate the percentage of his monthly check that does not go towards food as follows:
Percentage = (Total Income - Food Expenses) / Total Income
Percentage = (1800 - 90) / 1800
Percentage = 0.95 = 95%
Therefore, 95% of Frank's monthly check does not go towards food.
Here are the steps in detail:
Subtract the food expenses from the total income to get the amount of money that is not spent on food.
Divide the amount of money that is not spent on food by the total income to get the percentage.
In this case, the amount of money that is not spent on food is $1800 - $90 = $1710. The percentage of the monthly check that is not spent on food is $1710 / $1800 = 0.95 = 95%.
To learn more about percent here:
https://brainly.com/question/31323953
#SPJ2
Pam is visiting a historic town with an old-fashioned water well in the town square. She drops
a pebble into the well from a height of 27 feet above the surface of the water.
To the nearest tenth of a second, how long does it take for the pebble to hit the water?
Hint: Use the formula h = -16t² + 5.
seconds
The time taken for the pebble to hit the water is 1.41 seconds.
What is the time taken for the pebble to hit the water?The time taken for the pebble to hit the water is calculated by using the equation of the motion as follows;
h = -16t² + 5
where;
h is the height of fall during the motiont is the time of motionwhen the height is 27 ft, the time of motion is calculated as;
-27 = -16t² + 5
16t² = 5 + 27
16t² = 32
t² = 32/16
t² = 2
t = √2
t = 1.41 seconds
Thus, the time of motion is determined by applying the equation of motion as shown above.
Learn more about time of motion here: https://brainly.com/question/24739297
#SPJ1
pleaseeeee i need helppp in this
The resulting matrix formed by performing R2 -> 4R1 + R2 on M is given as follows:
[tex]M = \left[\begin{array}{ccc}-4&3&1\\-18&9&8\end{array}\right][/tex]
How to do the row operation?The matrix in the context of this problem is defined as follows:
[tex]M = \left[\begin{array}{ccc}-4&3&1\\-2&-3&r\end{array}\right][/tex]
The rows of the matrix are given as follows:
R1: -4, 3 and 1.R2: -2, -3 and 4.Hence the row 2 of the resulting matrix has the elements given as follows:
Column 1: 4 x -4 - 2 = -18.Column 2: 4 x 3 - 3 = 9.Column 3: 4 x 1 + 4 = 8.More can be learned about operations with matrices at brainly.com/question/16901354
#SPJ1
the price of a shirt was $25, but it is now on sale for $20. what is the percent decrease in price?
find the margin of error given the values of C, stigma, and n.
c= 0.95, stigma=3.4, n=100
E=?
The margin of error is E = 0.67.
To find the margin of error
We can use the formula:
E = z* (σ / sqrt(n))
Where
E is the margin of errorz* is the z-score corresponding to the desired level of confidence Cσ is the population standard deviation (also known as the population parameter) n is the sample sizeIn this case, we are given that C = 0.95, σ = 3.4, and n = 100. We can use a standard normal distribution table to find the z-score that corresponds to a 95% confidence level, which is approximately 1.96.
Substituting the values:
E = 1.96 * (3.4 / sqrt(100))
E = 1.96 * 0.34
E = 0.6664
Rounding to two decimal places, the margin of error is approximately 0.67.
Therefore, the margin of error is E = 0.67.
Learn more about margin of error here : brainly.com/question/24289590
#SPJ1
-2(-2/3) x 3/5
Write in simplest form .
Answer:
4/5
Step-by-step explanation:
Carolina wants to save $900 to go to Puerto Rico. She saves $45 each week. Her
brother gives her $180. Which equation determines how many weeks she must
save.
Answer:
45w + 180 = 900
45w = 720
w = 16 weeks
ACTIVITY 1: Determine whether each of the following is a proposition or mere sentence. It is a
Proposition if the given is either true or false and Mere Sentence if the given can be both true and
false at the same time.
Answer:
number 1111q
Step-by-step explanation:
the answer is 1
which graph represents the linear equation y = 1/4 x + 1 on the coordinate plane
the line is passing through -2 for y and 4 for x
the line is passing through 2 for y and -4 for x
the line is passing through 1 for y and -5 for x
the line is passing through 1 for y and -4 for x
Answer:
the line is passing through 1 for y and -4 for x
Step-by-step explanation:
The function y = 1/4 + 1 contains all the information you need. The + 1 indicates the y intercept, so it is given. Since the slope of the line is 1/4, the graph would pass through (-4, 0) and (0, 1) as starting from a point would go up one unit and right 4 units.
what is y= -2/9x +2 in standard form?
Answer:
2x+9y=18
Step-by-step explanation:
Write a form of 1 that you can use to rationalize the denominator of the expression.
A form of 1 that you can use to rationalize the denominator of the expression 8/(∛4), the rationalizing factor is 9.
Describe Rationalization?In mathematics, rationalization refers to the process of eliminating radical or irrational expressions from the denominator of a fraction. This is done by multiplying both the numerator and the denominator of the fraction by a suitable expression that will result in a rational denominator.
The resulting fraction has a rational denominator, which makes it easier to work with and manipulate algebraically. Rationalization is a useful technique in algebra, trigonometry, and calculus, and is often used to simplify expressions and solve equations.
To rationalize the denominator of the expression 8/(∛4), we need to multiply the numerator and the denominator by a rationalizing factor that will eliminate the radical in the denominator.
Since the root 4 is equal to 2, we can rewrite the expression as:
8/3²
The square of 3 is 9, so we can use 9 as the rationalizing factor.
Multiplying the numerator and denominator by 9, we get:
(8/3²) x (9/9) = 72/9
Simplifying, we get:
72/9 = 8
Therefore, the rationalizing factor is 9.
To know more about factor visit:
https://brainly.com/question/21649943
#SPJ1
Joey wants to buy a $3,000 vehicle with 20 percent down for three years at 12 percent interest. What will his monthly payment be?
Monthly Payment per $1,000 Finance
A. $72.82
B. $89.67
C. $79.70
D. $119.56
Joey’s monthly payment is solved to be
C. $79.70
How to find the monthly payment20% down 600 to calculate the monthly payment on a 3 000 car we would pay 2 400.
the interest rate is 12% per annum which equates to 1% per month the term of the loan is three years which equates to 36 months we can use a formula to calculate the monthly payments
[tex]Monthly salary = (P * r * (1 + r)^n) / ((1 + r)^n - 1) .[/tex]
where
P is the principal (premium),
r is the monthly interest rate, and
n is the number of months.
Plug in the prices and we have:
[tex]Monthly salary = (2400 * 0.01 * (1 + 0.01)^{36} ) / ((1 + 0.01)^{36} - 1)[/tex]
= $79.65 per square foot
So Joey’s monthly payment would be $79.65.
Learn more about percent interest at
https://brainly.com/question/25793394
#SPJ1
PLEASE ANSWER FAST!!!! NEED TO UNDERSTAND!!!
Step-by-step explanation:
X component = 4.5 - 2.1 = 2.4
Y component = 7.8 - 2.1 = 5.7
Find magnitude using Pythagorean theorem
m^2 = 2.4^2 + 5.7^2
magnitude = 6.18 units
Remember for a right triangle tangent Φ = opposite leg / adjacent leg
angle = arctan ( 5.7 / 2.4 ) = 67.2 degrees
Let u = - 4i + j v = 4i - 2j and w = - 2j
Find the specified scalar or vector.
5u(3v - 4w)
The result of multiplying 5u by the difference between 3v and 4w is the vector -240i + 70j + 10.
In linear algebra, we often use scalars and vectors to perform various operations. Scalars are just ordinary numbers that can be used to multiply or divide vectors. On the other hand, vectors are quantities that have both magnitude and direction.
In this problem, we are given three vectors, u, v, and w, and we are asked to find the result of multiplying 5u by the difference between 3v and 4w.
First, let's calculate 3v - 4w. Since v = 4i - 2j and w = -2j, we can substitute these values to get,
3v - 4w = 3(4i - 2j) - 4(-2j)
= 12i - 6j + 8j
= 12i + 2j
Next, we need to find the scalar product of 5u and 12i + 2j. To find the scalar product of two vectors, we need to multiply the corresponding components and add up the products.
Therefore: 5u(3v - 4w) = 5u(12i + 2j)
= 5(-4i + j)(12i + 2j)
= -20i(12i) + 5i(2j) + 60j(i) - 10j(j)
= -240i + 10j + 60j + 10
= -240i + 70j + 10
So, the result of multiplying 5u by the difference between 3v and 4w is the vector -240i + 70j + 10.
To know more about Scalar or Vector here
https://brainly.com/question/28518744
#SPJ1
algebra please help quickly, you don't have to explain anything just straight up state the answers true or false
Answer:
they are correct
Step-by-step explanation:
Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.42cm
7.42cm and a standard deviation of 0.36cm. Using the empirical rule, what percentage of the apples have diameters that are between 6.34cm and 8.5cm
The percentage of percentage of the apples have diameters that are between 6.34cm and 8.5cm is given as follows:
99.7%.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.The measures of 6.34 cm and 8.50 cm are the bounds exactly within three standard deviations of the mean, hence the percentage is given as follows:
99.7%.
More can be learned about the Empirical Rule at brainly.com/question/10093236
#SPJ1
The list below gives the number of people who made the trip for a selection of nine summer days 2756 64 36 40 29 2756 and 30 find the range of the data set
Answer:
The range is 37
Step-by-step explanation:
highest - lowest = range
64-27= 37
Hope it helped! :)
Consider the graph of function f below. A diagonal curve declines through (negative 6, 7), (negative 5, 5), (negative 4, 3), (negative 3, 1), (3, negative 1, negative 3), (0, negative 5) and (1, negative 7) on the x y coordinate plane. The function g is a transformation of f. If g has a y-intercept at -1, which of the following functions could represent g? A. g(x) = f(x) - 1 B. g(x) = f(x + 4) C. g(x) = f(x - 1) D. g(x) = f(x) + 4
The function g(x) is defined as follows:
D. g(x) = f(x) + 4.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The y-intercept for each function is given as follows:
f(x): y = -5.g(x): y = -1.Meaning that g(x) is a translation up four units of function f(x), hence it is defined as follows:
g(x) = f(x) + 4.
More can be learned about translations at brainly.com/question/28174785
#SPJ1
Answer: D
Step-by-step explanation:
The function g(x) is defined as follows:
D. g(x) = f(x) + 4.
What is a translation?
A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).
Translation right a units: f(x - a).
Translation up a units: f(x) + a.
Translation down a units: f(x) - a.
The y-intercept for each function is given as follows:
f(x): y = -5.
g(x): y = -1.
Meaning that g(x) is a translation up four units of function f(x), hence it is defined as follows:
g(x) = f(x) + 4.
Select each angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z
The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are
180 degrees
540 degrees
900 degrees
How to find the angle of rotationThe transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.
The rule is (x, y) will become (-x, -y)
Where 540 degrees = 360 + 180
where 900 degrees = 360 + 360 + 180
Learn more about angle of rotation at
https://brainly.com/question/28672446
#SPJ1
The Frequency table shows The time it look students in PE class to run in 1 mile
3.) The quantity of students that are in the P.E class would be = 31 students.
4.) The number of students that ran 1 mile in under 9 minutes would be = 6 students.
How to determine the quantity of students from the frequency table?For question 3.)
To calculate the quantity of students, all the values in the frequency column is added together. That is;
Total number of students= 6+2+8+6+9 = 31 students.
For question 4.)
To calculate the number of students that ran 1 mile in less than 9 minutes would be the time range of 8.00-8.59 minutes = 6 students.
Learn more about frequency table here:
https://brainly.com/question/29213586
#SPJ1
I also need help on finding the pvalue
The claim is: Testing if the time spent completing the obstacle course is improved by the energy drink
The null and the alternate hypotheses are added below
Stating the null and the alternate hypothesisFrom the question, we have the following parameters that can be used in our computation:
The table
Also, we have the following statistical question
Is there sufficient evidence at α = 0.05 to conclude that the students did better the second time?
This means that the null hypothesis are
H1: There is no significant difference in the time spent to complete the obstacle course before and after drinking the new energy drink.
The alternate hypothesis is the opposite of the null hypothesis
So, we have
H2: There is no significant difference in the time spent to complete the obstacle course before and after drinking the new energy drink.
Lastly, the claim is that
Testing if the time spent completing the obstacle course is improved by the energy drink
Read more about test of hypothesis at
https://brainly.com/question/14701209
#SPJ1
Malden go company has a balance and its accounts payable control count of $10,500 on January 1, 2021. The subsidiary ledger contains three accounts Smith Company balance of $3000 white company balance of tMalden go company has a balance and it’s accounts payable control count of $10,500 on January 1, 2021. The subsidiary ledger contains three accounts Smith Company balance of $3000 white company balance of $2500 and Marina company during the January the following payable related transactions occurred
Answer:
6
Step-by-step explanation:
bc
I will give 30 points to whoever answers
|x +3| if x >5
|x +3| if x >2
|x +3| if x =2
|x − 3| if x >5
|120+x| if x < −120
|x − 120| if x < −120
|x − (−12)| if x > −12
|x − (−12)| if x < −12
|x − (−12)| if x = −12
|x ÷ 3| if x >0
|x ÷ 3| if x <0
|x ÷ 3| if x =0
These are absolute value expressions evaluated under different conditions:
How to solve|x + 3| if x > 5:
Here x is greater than 5, so x + 3 will also be positive. In this case, |x + 3| = x + 3.
|x + 3| if x > 2:
Similar to the above, x is greater than 2, so x + 3 will be positive. Thus, |x + 3| = x + 3.
|x + 3| if x = 2:
In this case, x + 3 = 2 + 3 = 5, and the absolute value of 5 is just 5. Thus, |x + 3| = 5.
|x - 3| if x > 5:
If x is greater than 5, then x - 3 will be positive. Hence, |x - 3| = x - 3.
|120 + x| if x < -120:
Since x is less than -120, 120 + x will be negative. But the absolute value of a negative number is its positive counterpart, so |120 + x| = -(120 + x).
Read more about absolute value expressions here:
https://brainly.com/question/28644610
#SPJ1
Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µg =0. Compute the value of the t test statistics. Round intermediate
calculations to four decimal places as needed and final answers to three decimal places as needed.
x 9 6 7 5 12
y 6 8 3 6 7
A.t= 2.890
B.t= 1.292
C. t=0.578
D. t=0.415
Answer: To compute the t-test statistic for the paired sample data, we need to first calculate the sample mean difference and the sample standard deviation of the differences. Then we can use the formula:
t = (sample mean difference - hypothesized mean difference) / (standard error of the mean difference)
where the standard error of the mean difference is calculated as:
standard error = sample standard deviation / sqrt(sample size)
Let's first calculate the sample mean difference:
x 9 6 7 5 12
y 6 8 3 6 7
The differences between each pair of x and y values are:
(9-6), (6-8), (7-3), (5-6), (12-7) = 3, -2, 4, -1, 5
The sample mean difference is the average of these differences:
sample mean difference = (3 - 2 + 4 - 1 + 5) / 5 = 1.8
Next, we need to calculate the sample standard deviation of the differences. To do this, we first calculate the deviations of each difference from the sample mean difference:
(3 - 1.8), (-2 - 1.8), (4 - 1.8), (-1 - 1.8), (5 - 1.8) = 1.2, -3.8, 2.2, -2.8, 3.2
The sample standard deviation of the differences is the square root of the sum of the squared deviations divided by (n-1):
sample standard deviation = sqrt[(1.2^2 + (-3.8)^2 + 2.2^2 + (-2.8)^2 + 3.2^2) / 4] = 3.153
Finally, we can calculate the t-test statistic:
t = (sample mean difference - hypothesized mean difference) / (standard error of the mean difference)
where the hypothesized mean difference is 0, and the standard error of the mean difference is:
standard error = sample standard deviation / sqrt(sample size) = 3.153 / sqrt(5) = 1.410
Substituting the values, we get:
t = (1.8 - 0) / 1.410 = 1.277
Rounding the final answer to three decimal places, we get:
t = 1.277
Therefore, the correct option is B. t = 1.292.
Elaina is trying to fit the longest stick she can into her pet lizard’s tank. She knows running it diagonally from the front corner to the back will give her the most room but she is uncertain what size she should buy. What is the biggest length stick that will fit into her 12 by 8 by 8 tank?
The biggest length stick that will fit is 16.49 units long.
What is the biggest length stick for the tank?The length stick which will fit into Elaina's 12* 8*8 tank can be found using the Pythagorean theorem.
The diagonal length, of tank will be equal to square root of the sum of the squares of its length, width and height.
So, the diagonal length of the tank, using Pythagorean theorem, is
= √(12² + 8² + 8²)
= √(144 + 64 + 64)
= √272
≈ 16.49.
Read more about tank lenght
brainly.com/question/27196379
#SPJ1
A number cube with faces labeled 1 to 6 is rolled once.
The number rolled will be recorded as the outcome.
Consider the following events.
Event A: The number rolled is odd.
Event B: The number rolled is greater than 3.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
The possible outcomes for each of the given events are:
A --> {1, 3, 5}
B --> {4, 5, 6}
How to find the outcomes for each event?For a regular number cube, the sample space (possible outcomes) is:
S = {1, 2, 3, 4, 5, 6}
Now we have two events.
A = rolling an odd number
Here the outcomes can be any of the odd numbers in the sample space, so the possible outcomes are:
A --> {1, 3, 5}
The second event is:
B = the number rolled is greater than 3. Again, the outcomes are thevalues in the sample space that are larger than 3, these are:
B --> {4, 5, 6}
Learn more about sample spaces at:
https://brainly.com/question/2117233
#SPJ1