Answers
Related Questions
Solve the following quadratic inequality x^2+x-6>0
Answers
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 4 kg, the acceleration of the object is 9 m/s². When the same force acts upon another object, its acceleration is 6 m/s². What is the mass of this
object?
Answers
Step-by-step explanation:
a = k/m or ma = k
using 4 and 9 4* 9 = k = 36
then the equation becomes:
ma = 36
using a = 6
6 * m = 36 shows m = 6 kg
through: (5, 5), slope = 10
Answers
Answer: The correct answer is y = 10x – 45
Step-by-step explanation:
When graphing a line with a slope of 10 from point (5,5), we find that the y-intercept (where the line crosses the y-axis) is -45
Use the slope-intercept form (y=mx+b), where m=slope (10) and b=the y-intercept (-45)
y = 10x - 45
Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
Answers
The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...
Answers
Answer:
14x-9
Step-by-step explanation:
In ΔVWX, x = 6.4 inches, w = 8.8 inches and ∠W=85°. Find all possible values of ∠X, to the nearest 10th of a degree.
Answers
Using the Law of Cosines, we can write the following equation for triangle VWX:
V^2 = W^2 + X^2 - 2WXcos(W)
Plugging in the given values, we have:
V^2 = (8.8)^2 + X^2 - 2(8.8)(X)cos(85°)
V^2 = 77.44 + X^2 - 15.36X
Solving for X, we can use the quadratic formula:
X = (-(-15.36) ± √((-15.36)^2 - 4(77.44)(1)))/2(1)
X = (15.36 ± √(234.84))/2
So the possible values of X are approximately:
X = (15.36 + 15.32)/2 = 15.34 inches
X = (15.36 - 15.32)/2 = 0.02 inches
Converting the length of X to degrees, we can use the inverse cosine function (arccos) to find the angles:
∠X = arccos(X/V)
For the first value of X (15.34 inches), we have:
∠X = arccos(15.34/V)
Since V is not given, we cannot determine a numerical value for ∠X, but it is safe to say that it will be between 0° and 90°.
For the second value of X (0.02 inches), we have:
∠X = arccos(0.02/V)
Since X/V is very close to 0, the cosine value will be close to 1, so the angle will be close to 0°. To the nearest 10th of a degree, ∠X = 0°.
Write down in terms of n, an expression for the nth term
of the following sequences
a) 25 20 15 10 5
Answers
Answer:
Solution,
First term (a) = 25
Common difference (d) = Second term - first term = 20 - 25 = -5
Now,
nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n
The nth term of the series is 30 - 5n
Answer:
The nth term will be:
\(a_n=-5n+30\)
Step-by-step explanation:
Given the sequence
25, 20, 15, 10, 5
An Arithmetic sequence has a constant difference 'd' and is defined by
\(a_n=a_1+\left(n-1\right)d\)
Computing the common difference of all the adjacent terms
\(25,\:20,\:15,\:10,\:5\)
\(20-25=-5,\:\quad \:15-20=-5,\:\quad \:10-15=-5,\:\quad \:5-10=-5\)
As the difference between all the adjacent terms is the same and equal to
\(d=-5\)
Also, the first term is:
\(a_1=25\)
Hence, the nth term will be:
\(a_n=a_1+\left(n-1\right)d\)
\(a_n=-5\left(n-1\right)+25\) ∵ \(a_1=25\), \(d=-5\)
\(a_n=-5n+30\)
Therefore, the nth term will be:
\(a_n=-5n+30\)
A rectangle is drawn at (-4,-2) (-1,-2) (-4,-4) and (-1,-4). What is the perimeter?
Answers
Answer:
12
Step-by-step explanation:
A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $10.41 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the mean repair cost for the refrigerators. Assume the population is approximately normal.
Answers
A test was marked out of 80. Aboy scored
60% of the marks on the test. How many
marks did he score?
(A)20
(B)48
(C)60
(D)75
Answers
Answer:
B
Step-by-step explanation:
To solve this you do 80/100=.8
You than do .8×60= 48
Here are the heights (in inches) of 12 students in a seminar. 71, 67, 62, 60, 70, 64, 68, 72, 58, 63, 60, 66 What is the percentage of these students who are shorter than 65 inches? 1% X 5
Answers
25% of the students in the seminar are shorter than 65 inches.
To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:
There are three students who are shorter than 65 inches: 62, 60, and 58.
Therefore, the percentage of students who are shorter than 65 inches is:
(3 students / 12 students) × 100% = 25%
Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.
For such more questions inches
https://brainly.com/question/876758
#SPJ8
Determine if the expression 3 (x + 2) is equivalent to 3x + 6
Answers
3(x) = 3x
3(2) =6
3(x+2) = 3x+6
2 questions Please helpppppp( 20 points. ) PICTURE BELOW
Helpp ASAP
Answers
Answer:
5) The third side must be more than 4 and less than 14.
6) The third side must be more than 3 and less than 13.
Step-by-step explanation:
The third side must be more than the difference and less than the sum of the two numbers.
5) 9-5=4
9+5=14
So the third side must be more than 4 and less than 14.
6) 8-5=3
8+5=13
So the third side must be more than 3 and less than 13.
X 8.2.79
Question Help
A dietitian at a hospital wants a patient to have a meal that has 64 grams of protein, 29 grams of carbohydrates, and 72.5 milligrams of vitamin A The hospital food
service tells the dietitian that the dinner for today is salmon steak, baked eggs, and acorn squash. Each serving of salmon steak has 40 grams of protein, 10 grams
carbohydrates, and 1 milligram of vitamin A. Each serving of baked eggs contains 20 grams of protein, 2 grams of carbohydrates, and 20 miligrams of vitamin A
Each serving of acom squash contains 4 grams of protein, 20 grams of carbohydrates, and 32 milligrams of vitamin A How many servings of each food should the
dietitian provide for the patient?
Answers
Answer:
steak: 1/2baked eggs: 2acorn squash: 1Step-by-step explanation:
Let s, b, a represent the numbers of servings of steak, baked eggs, and acorn squash, respectively. Then the equations we want to solve are ...
40s +20b +4a = 64 . . . . grams of protein
10s +2b +20a = 29 . . . . grams of carbohydrate
1s +20b +32a = 72.5 . . . milligrams of vitamin A
There are any number of calculators or web sites that will solve this system of equations for you. The solution is ...
s = 0.5
b = 2
a = 1
The dietitian should provide 1/2 serving of steak, 2 servings of baked eggs, and 1 serving of acorn squash.
Cole and Bryson went to Video Game Land. Cole won 152 tickets. Bryson won 84 tickets. They want to put their tickets together to get a large toy monkey that costs 300 tickets. How many more tickets do they need?
Answers
Answer:
64
Step-by-step explanation:
152+84=236
300-236=64
What is the graph of f(x) = 0.5(4)x (x is an exponent)
Answers
It should be a positive graph .
A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work
Answers
The difference in volume between the two boxes would be = 156in³
How to calculate the difference in volume between the boxes?To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;
Volume = length×width×height.
For box 1 = length = 12in, width = 7¾in, height= 2in
Vol = 12×7¾×2 = 186in³
For box 2; length = 3⅔in, width = 3½in, height= 2⅓in
Volume = 3⅔×3½×2⅓ = 30
The difference = 186-30 = 156in³
Learn more about volume here:
https://brainly.com/question/27710307
#SPJ1
Use the graph to write a linear function that relates y to x.
Answers
The required equation is y=x/3+3
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here the line passes through the points (3,4) and (0,3)
Thus the slope intercept form of the line passing through these points is
y=x/3+3 where m=4-3/3-0 is the slope of the line
Hence, The required equation is y=x/3+3
Learn more about the linear function here:
https://brainly.com/question/29739212
#SPJ1
oliva took out 8 glasses and poured juice from the pitcher the capacity of each glass is 3/10 liter. it there was enough juice for 6 glasses how much juice was there?
Answers
The total amount of juice is \(1.8\)liters.
Given:
Olivia took out \(8\) glasses and poured juice from the jug.The capacity of each glass is \(3/10\) of a liter.There is enough juice for \(6\) glasses.To find: How much juice was there?
Solution:
If there was enough juice for \(6\) glasses
This means that the amount of juice will be the total amount of juice poured into \(6\) glasses.
Because the capacity of \(1\) glass = \(3/10\) liters = \(0.3\) liters
Therefore,
The capacity of \(6\) glasses = \(6*0.3=1.8\) liters.
Hence the total amount of juice that was there is \(1.8\) liters.
Learn more about juice here:
https://brainly.com/question/3447131
#SPJ9
Solve number 3 please, with explanation
Answers
Answer:
97,655
Step-by-step explanation:
5(5)^(n-1) = 78,125
5^n = 78,125
n = 7
=> S7 = 5(5^7 -1) / (5-1)
= 5/4 (78, 125 -1)
= 5/4 (78 124) = 97,655
Part 4 and 5. Last one is coming after i post this one.
Answers
Which statement is true?
A. 3.5 = 8/10
B.35 > 3/10
C. 35/100 < .35
D. 3 3/10 = .35
Please make sure to put an explanation.
Answers
Answer:
The correct answer is C.
Explanation:
A. 3.5 = 8/10 is not true because 3.5 is equivalent to 7/2, which is not the same as 8/10 (which reduces to 4/5).
B. 35 > 3/10 is true because 35 is a larger number than 3/10.
C. 35/100 < .35 is true because 35/100 reduces to 7/20, which is less than .35.
D. 3 3/10 = .35 is not true because 3 3/10 is equivalent to 33/10, which is not the same as .35 (which is equivalent to 7/20).
What are the solutions of this quadratic equation? x^2 – 6x= -58 Substitute the values of a and b to complete the solutions.
Answers
Let us first add 58 to both sides of the equation:
\(x^2-6x+58=-58+58\)\(x^2-6x+58=0\)And now let us use the quadratic formula to find x
\(x=\frac{6\pm\sqrt[]{36-4(1)(58)}}{2}\)\(x=3\pm14i\)Hence, the two solutions are
\(x=3+14i\)and
\(x=3-14i\text{.}\)meaning a = 3 and b = 14.
Solve the system of equations by substitution.
2x + y = 3z
x + y = 6z
What is the value for y from the first equation, that could be substituted into the second equation?
A. -2x +3z
B. 3z + 2x
C. -2x - 3z
D. 2x + 3z
Answers
Reason
2x + y = 3z
If you subtract 2x from both sides to isolate “y”
2x -2x +y = -2x + 3z
Now combine like terms
You get
y= -2x + 3z
Problem solved
Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?
6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)
Answers
you would factor out just the 6 because the 18 doesn’t a a term with it like 34a2 does. then just divide normally to get ur answer 6(4a2 - 3)
Pam and her grandma are planning to make a quilt together. The quilt will be made out of fabric squares that measure 6 inches on each side. The quilt will have 3 more squares along its longer edge than it will have along its shorter edge.
If there are x fabric squares along the quilt's shorter edge, find an expression for f(x), the length of the quilt's shorter edge in inches.
f(x)=
6x
Next, find an expression for g(x), the length of the quilt's longer edge in inches.
g(x)=
Which function can you use to find the area of the quilt in square inches?
Answers
Answer:
There are x squares on the shorter side, each square measures 6 inches.
The length of the shorter side is:
f(x) = x*6 = 6xThe length of the longer side is:
g(x) = (x + 3)*6 = 6x + 18The area of the quilt is:
A = 6x(6x + 18) = 36x² + 108xSolve the indicated quantity.
Answers
Angle MIE = 75 degrees. Angles MIK and KIE adds up to angle MIE. So we will add angles MIK and KIE and set them equal to 75.
x + 2x = 75
Combine like terms:
3x = 75
Divide 3 to both sides:
x = 25
Now that we have the value of x, we can find the exact value of the angles by putting 25 in for x.
Now we will do 3. Pretty much the same thing, just more numbers. Angle ANY is 110 degrees and is the sum of angles AND and DNY. So again, we will set these two angles together and set it equal to 110.
2x + 10 + 30 = 110
Combine like terms:
2x + 40 = 110
Subtract 40 to both sides:
2x = 70
Divide 2 to both sides:
x = 35
Now again, put in the x value, 35, for x.
Hope this helped!
Assuming all model requirements for conducting the appropriate procedure have been​ satisfied, is the mean IQ of the students in the​ professor's statistics class higher than that of the general​ population, 100? Explain what statistical procedure should be used for this research objective.
Answers
Answer:
Step-by-step explanation:
The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.
sally builds these steps for her dog.what is the volume of the steps
Answers
Answer:
300 we just finished the test...
Step-by-step explanation:
Answer:
hi Here's the Answer is 300 I Got just finished With the test.
Step-by-step explanation:
The domain is ? (image attached)
Answers
Hope this helps!