Answer:
1. x = 4
2. x = 2
3. x = -1
4. x = -3
Step-by-step explanation:
1. (x4)-(2•(x3)))-13x2)+14x)+24 = 0
2. ((x4) - 2x3) - 13x2) + 14x) + 24 = 0
3. Find roots (zeroes) of : F(x) = x4-2x3-13x2+14x+24
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 24.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,8 ,12 ,24
Find the 10th term of the linear equation that begins with 7, 13, 19, 25
Answer:
61
Step-by-step explanation:
7,13,19,25
each number has a gap of 6. So, by adding 9 times 6 into the base value 7 you can get your answer (10th term).
I’m not sure I need help
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in 9 hours.If the main pump is started at 6 PM, when should the auxiliary pump be started so that the tanker is emptied by 9 PM,The auxiliary pump should be started at
Explanation
To solve the question, we will be aware that
There are 3 hours between 6PM and 9PM ,
The main pump's emptying rate is 1/4 tanker per hour. It will be open
the entire 3 hours, so it will empty 3/4 of the tank.
this means that the auxiliary pump must empty the remaining 1/4
Thus
\(rate\text{ in tanker per hour }\times time\text{ required=}\frac{1}{4}tank\)Thus, we will have
\(\frac{1}{4}\times3\text{ hours =45 minutes}\)Therefore
The auxiliary pump should start by 6pm + 45 minutes = 6:45pm
Find the point on the line y = - 2x + 2 closest to the point (3, 10). The function giving the distance between the point and the line is s=__________ (Enter a function of x). The point on the line y = -2x + 2 closest to (3, 10) is ____________(Enter the coordinates of the point. Be sure to include commas and parentheses as required.
The point on the line y = -2x + 2 closest to (3,10) is (1.3, -0.6).
To find the point on the line y = -2x + 2 closest to (3,10), we can use the formula for the distance between a point (x1, y1) and a line ax + by + c = 0:
distance = |ax1 + by1 + c| / sqrt(a^2 + b^2)
In this case, the line is y = -2x + 2, so we can rewrite it as 2x + y - 2 = 0. Therefore, a = 2, b = 1, and c = -2. The point we want to find the distance to is (3,10), so x1 = 3 and y1 = 10. Substituting these values into the distance formula, we get:
distance = |2(3) + 1(10) - 2| / sqrt(2^2 + 1^2)
= 11 / sqrt(5)
So the function giving the distance between the point and the line is:
s(x) = 11 / sqrt(5)
To find the point on the line y = -2x + 2 closest to (3,10), we need to find the intersection of the line and the perpendicular line passing through (3,10). Since the slope of y = -2x + 2 is -2, the slope of the perpendicular line is 1/2 (negative reciprocal). This line passes through (3,10), so we can write its equation in point-slope form:
y - 10 = (1/2)(x - 3)
y = (1/2)x + 8.5
Now we need to solve the system of equations consisting of y = -2x + 2 and y = (1/2)x + 8.5. Substituting y = (1/2)x + 8.5 into the first equation, we get:
(1/2)x + 8.5 = -2x + 2
Solving for x, we get x = 1.3. Substituting this value into either equation gives us y = -0.6. Therefore, the point on the line y = -2x + 2 closest to (3,10) is (1.3, -0.6).
Learn more about distance from
https://brainly.com/question/30395212
#SPJ11
Write the expression in exponential form.
(find a and b)
Answer:
a = 8
b = 5
Step-by-step explanation:
Change to decimal form 5.125
Answer:
Already in decimal form.
Step-by-step explanation:
5.125 = 5.125
How do you solve ratio??
Answer:
How to solve a ratio problem:
Add together the parts of the ratio to find the total number of shares.
Divide the total amount by the total number of shares.
Multiply by the number of shares required.
pls mark me brainliest
Help please. Number 3 or 4!
Answer:
3
Step-by-step explanation:
2 3/4 - 1 1/8=?
9 - 3 2/5=?
2 4/5 - 5/8=?
3/2 - 6/5=?
Guys please explain how to do these!
8.547 Rounded to tbe nearest hundredth
Answer:
8.55
Step-by-step explanation:
8.547
8.55
The number 8.547 is close to 8.55
%+given+v1+=+[+0,+1,+2+];+v2+=+[+3,+-4,+5+];+%+solution+x+=+1;+y+=+2;+z+=+3;+vxv+=+[+v1(y)*v2(z)+-+v1(z)*v2(y),+v1(z)*v2(x)+-+v1(x)*v2(z)+...+,+v1(x)*v2(y)+-+v1(y)*v2(x)];+%+answer+vxv
This resulting cross product is a vector that is normal to the plane formed by the two original vectors.
Substitute the given values for each parameter in the formula, and then simplify and solve for vxv.
This gives :vxv = [1 * 5 - 3 * 2, 3 * 2 - 1 * 5, 0 * (-4) - 1 * 3] ;
vxv = [23, 9, -3], the answer is :
vxv = [23, 9, -3].
The formula is given below :
vxv = [v1(y) * v2(z) - v1(z) * v2(y), v1(z) * v2(x) - v1(x) * v2(z), v1(x) * v 2(y) - v1(y) * v2(x)];
Given:v1 = [0, 1, 2]; v2 = [3, -4, 5];
solution x = 1; y = 2;
z = 3;
vxv = [v1(y) * v2(z) - v1(z) * v2(y), v1(z) * v2(x) - v1(x) * v2(z), v1(x) * v2(y) - v1(y) * v2(x)];
Answer: vxv = [23, 9, -3]
The given terms are:v1 = [0, 1, 2]; v2 = [3, -4, 5];
solution x = 1; y = 2; z = 3;
The cross product or vector product is defined as a binary operation on two vectors in a three-dimensional space.
The resulting cross product, as opposed to the scalar dot product, is a vector perpendicular to both original vectors.
Let's use the formula to calculate the cross product for the vectors
v1 and v2.
When the cross product is performed on two vectors, a third vector is produced that is perpendicular to both original vectors.
to know more about vectors, visit
https://brainly.com/question/28028700
#SPJ11
the hypothesis statement h: µ = 25 is an example of a(an) ________ hypothesis.
Hypothesis testing is an important statistical tool that helps us make informed decisions based on data and evidence.
The hypothesis statement h: µ = 25 is an example of a null hypothesis. A null hypothesis is a statement that suggests there is no significant difference between two variables or that any difference is due to chance. It is often denoted as H0 and is used to compare against an alternative hypothesis, which suggests that there is a significant difference between two variables. In this case, the null hypothesis is that the population mean µ is equal to 25, and there is no significant difference between the sample mean and the population mean. If the null hypothesis is rejected, it means that there is enough evidence to suggest that the alternative hypothesis is true. However, if the null hypothesis cannot be rejected, it does not necessarily mean that it is true. It only suggests that there is not enough evidence to support the alternative hypothesis.
Learn more about Hypothesis here
https://brainly.com/question/606806
#SPJ11
can someone help me with these 3 answers ?
Answer:
b = 14
c = -2
d = 74
Step-by-step explanation:
use calculator
b = 4 - (-10)
c = 6 ÷ (-3)
d = (7×7) + (5×5)
What can we conclude if the omnibus null hypothesis is rejected in a one-factor anova?
Answer:
Not all the means are equal.
Step-by-step explanation:
In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.
So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.
https://brainly.com/question/13045159
#SPJ4
If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.
ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).
It establishes the relation that:
ESS + RSS = TSS.
If we reject the omnibus null hypothesis, then it means that:
at least one of the population means is different from at least one other population mean.
Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.
Learn more about ANOVA here:
https://brainly.com/question/15084465
#SPJ9
Please help. Pls. I will give you brainliest. You dont have to write 200 words Just choose a topic and write some sentences- I will do the rest ~~~Ty
Answer:
I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)
we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom
this was mine so nooooo plagiarism or anything.
please mark brainliest......
Answer:
World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.
Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.
Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.
The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.
The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.
Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.
Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.
In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.
With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.
Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.
The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.
World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.
Step-by-step explanation:
Sorry I'm late
803 words
Brainliest, Please!For every 7 push-ups Dulce can do, Sara can do 6. If Ducle did 28 push-ups during gym class, how many push-ups did sara do?
The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.
How to solve ratio?Number of push ups Dulce can do : number of push ups Sara can do
Let
number of push ups Sara does = x
7 : 6 = 28 : x
7/6 = 28/x
cross product
7 × x = 28 × 6
7x = 168
divide both sides by 7
x = 168/7
x = 24
Therefore, Sara does 24 push ups during the gym class.
Read more on ratio:
https://brainly.com/question/2328454
#SPJ1
Write the quadratic equation in standard form:
Standard form ax²+bx+c=0
5x²+7+3x+3x=05x²+7+6x=05x²+6x+7=0Done
HELPP PLEASE THIS IS TO HARD FOR ME
Using integration by part, the value of the integration over the interval is given as [(4√3 π - π + 2ln(2) - 4)] / 6
What is the the integral value of the function?In the given question, we have a function which is;
f(x) = √x tan⁻¹ √x dx over an interval of lower limit 1 and upper limit of 3
Applying integration by parts
[2/3x^3/2 arctan(√x) - ∫ x/3(x + 1) dx]^3_1
We can simplify this into;
[1/3(2x^3/2 arctan(√x) - x - 1 + ln |x + 1|)] ^3_1
Let's compute the boundaries
[(4√3 π - π + 2ln(2) - 4)] / 6
Learn more on integration by parts here;
https://brainly.com/question/30215870
#SPJ1
Horizontal lines n and m are intersected by lines q and p. At the intersection of lines q and n, the uppercase right angle is angle 4. At the intersection of lines q and m, the uppercase left angle is angle 1. At the intersection of lines p and n, the bottom left angle is angle 3. At the intersection of lines p and m, the uppercase left angle is angle 2.
If angle 1 is 110°, what would the other angle measures have to be in order for m || n and
q || p?
Angle 2 = °
Angle 3 = °
Angle 4 = °
The values of the angles based on the information will be:
Angle 2 = 110°Angle 3 = 70°Angle 4 = 70°How to calculate the angles?From the information given, angle 1 is 110° and the horizontal lines n and m are intersected by lines q and p.
In this case, it should be noted that opposite angles are equal. Hence, angle 2 is also 110°.
Angle 3 will be:
= 180° - 110° = 70° (angle on a straight line).
Angle 4 will also be 70° as opposite angle to angle 3.
Learn more about angles on:
brainly.com/question/25716982
#SPJ1
what is the sum of 56x64+795
Answer:
4379
Step-by-step explanation:
at the grocery store, 8 oranges cost $4. What is the cost for 9 oranges
Answer:
$4.50
Step-by-step explanation:
First you find the cost of each orange
4 divided by 8 = 0.5
so if each orange is $0.5 you can multiply it by 9 which is the amount of oranges there are
9 * 0.5 = $4.50
consider the following integral. x 5 − x dx (a) integrate by parts, letting dv = 5 − x dx.
We integrate the remaining integral: ∫(5x - (1/2)x^2) dx = (5/2)x^2 - (1/6)x^3 + C The final result is: ∫x(5 - x) dx = x(5x - (1/2)x^2) - ((5/2)x^2 - (1/6)x^3) + C
To integrate x^5 - x dx by parts, we need to choose u and dv. Let's choose u = x^5 and dv = (5 - x) dx. Then du/dx = 5x^4 and v = ∫(5 - x) dx = 5x - (1/2)x^2 + C.
Now, using the formula for integration by parts, we have:
∫x^5 - x dx = u*v - ∫v*du/dx dx
= x^5(5x - (1/2)x^2) - ∫(5x - (1/2)x^2)*5x^4 dx
= 5x^6 - (1/2)x^7 - (5/6)x^6 + (1/20)x^5 + C
= (9/20)x^5 - (7/6)x^6 + 5x^6 + C
Therefore, the antiderivative of x^5 - x dx using integration by parts with dv = 5 - x dx is (9/20)x^5 - (7/6)x^6 + 5x^6 + C.
To consider the following integral: ∫x(5 - x) dx, we will integrate by parts, letting dv = (5 - x) dx.
To integrate by parts, we use the formula ∫u dv = uv - ∫v du. In this case, we have:
u = x, so du = dx
dv = (5 - x) dx, so v = ∫(5 - x) dx = 5x - (1/2)x^2
Now, we can plug these values into the formula:
∫x(5 - x) dx = x(5x - (1/2)x^2) - ∫(5x - (1/2)x^2) dx
To finish, we integrate the remaining integral:
∫(5x - (1/2)x^2) dx = (5/2)x^2 - (1/6)x^3 + C
So, the final result is:
∫x(5 - x) dx = x(5x - (1/2)x^2) - ((5/2)x^2 - (1/6)x^3) + C
Learn more about integration at: brainly.com/question/18125359
#SPJ11
HELP I WILL GIVE BRAINIEST!!!! Find the measure of the missing angles.
Answer:
b = 93° , c = 87°
Step-by-step explanation:
b and 93° are vertically opposite angles and are congruent , then
b = 93°
c and 93° are a linear pair and sum to 180° , that is
c + 93° = 180° ( subtract 93° from both sides )
c = 87°
Answer:
b=93
c=87
Step-by-step explanation:
1. For b, the angle is 93 degrees because of the vertical angle theorem, where two straight lines intersect, forming two sets of linear pairs with congruent angles.
Therefore, that angle is 90 degrees.
2. For c, use the given angle that is provided, since angle C and the given angle are supplementary (equaling 180 degrees), we can subtract the total (180) from the part (93)
180 - 93 = 87
hello its my birthday please help asap !!
Answer:
the third answer
Step-by-step explanation:
Answer:
I think it is the 3 one as well
Step-by-step explanation:
hope this helps
Which set of numbers is correctly ordered from greatest to least?
mc028-1.jp g
mc028-2.jp g
mc028-3.jp g
mc028-4.jp g
The set of numbers that is correctly ordered from greatest to least is; option D:
2.4√3π, 221/30,_
7.36 7¹/₃, How to arrange the numbers in descending order?We are given the numbers; 7¹/₃, 221/30,
_
7.36, 24√3π
Now, let us convert each number to decimal before we arrange in descending order;
7¹/₃ = 7.3333
221/30 = 7.3667..
_
7.36 = 7.3667...
2.4√3π = 7.3679
Thus, we can clearly see that 2.4√3π is the greatest while 7¹/₃ is the least and as such, the order is;
2.4√3π, 221/30,_
7.36 7¹/₃Read more about Numbers in descending order at; https://brainly.com/question/28628459
#SPJ1
Write a compound inequality to represent all of the numbers between 4 and 6. UPLOAD All real number that are between.docx X WRITER All real number that are between 4 and 6. Form of compound inequality the statement represents: Suppose x is real number from statement is the greater than 4 and 6. x>-4 and x<6. The compound inequality written as 4-5} {xIx<5)? the empty set the numbers between -5 and 5 all numbers except -5 and 5 all real numbers
The compound inequality is -4 < X < 6.
Let X represents the numbers between 4 and 6
X is between 4 and 6. This means that 4 and 6 are not included in the series of numbers. Thus, they are the boundaries of the series of numbers.
The number between 4 and 6 is 5.
To find the compound inequality, we look at the series of numbers. Here, we notice that the number 5 is greater than 4 (the number is greater than 4 because it lies on the right-hand side of 4 on the number line) and the number 5 is smaller than 6 (the number is smaller than 6 because it lies on the left-hand side of 6 on the number line).
Thus, the compound inequality is -4 < X < 6.
To learn more about compound inequality, visit: brainly.com/question/20296065
#SPJ4
7th grade math help me pleasee :))
Step-by-step explanation:
the terms are 2k,15,m,3,n,7p.
variables are k,m,n,p
coefficients are 2,and 7
constants are 15 and 3
lin's family needs to travel 325 miles to teach their grandmother's house.
B. how far have they traveled when they completed 72 percent of the trips distance
They have traveled 234 miles when they completed 72 percent of the trips distance
How far have they traveled when they completed 72 percent of the trips distance from the question, we have the following parameters that can be used in our computation:
Distance = 325 miles
Distance completed = 72%
Using the above as a guide, we have the following:
Distance completed = 72% * Total distance
Substitute the known values in the above equation, so, we have the following representation
Distance completed = 72% * 325 miles
Evaluate
Distance completed = 234 miles
Hence, the distance completed = 234 miles
Read more about oercentage at
https://brainly.com/question/843074
#SPJ1
Find equation of the line.
Answer:
-1+9
Step-by-step explanation:
-1 divide by -1 =1
so the answer is -1+9
I hope that helped and can you do my answer as a Brainliest PLEASE
If it helped don't forget to thanks
Which line is parallel to to the line given below?
x - 3y = 24:
y = -3x - 1
y = -3x - 1
y = 1/3x + 3
y = 1/3x + 3
y = 3x + 8
y = 3x + 8
y = -1/3x - 4
Answer:
Step-by-step explanation:
x - 3y = 24
-3y = 24 - x
y = -(24/3) - (1/3)x
y = -(1/3)x - 8
The slope is -(1/3). A parallel line will have the same slope.
y=-(1/3)x - 4 has the same slope. Therefore, it is parallel.