Factor each polynomial SHOW YOUR WORK please help me
x^2-9x+10
x^2+7x+10
Answers
Step-by-step explanation:
x²-10x+x-10
x(x-10)+1(x-10)
(x-10)(x+1)
x²+7x+10
x²+5x+2x+10
x(x+5)+2(x+5)
(x+5)(x+2).
hope this helps you.
for the first question it will be -10 .
Answer:
1.x^2-9x+10 answer: x=−1
x=10
work: x^2 −9x=10
Subtract 10 from both sides.
x ^2−9x−10=0
To solve the equation, factor x^2−9x−10 using formula x ^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−9
ab=−10
Since ab is negative, a and b have the opposite signs. Since a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −10.
1,−10
2,−5
Calculate the sum for each pair.
1−10=−9
2−5=−3
The solution is the pair that gives sum −9.
a=−10
b=1
To find equation solutions, solve x−10=0 and x+1=0.
x=10
x=−1
2. x^2+7x+10
answer: 4x+7
Related Questions
In the pentagon shown below, the ratio of the size of
angle DEA to the size of angle CDE is 5 2. The ratio
of the size of angle EAB to the size of angle ABC is
4:3.
What is the size of angle EAB?
Give your answer in degrees.
D
50°
A
106°
B
C
Not drawn accurately
Answers
The size of angle EAB is approximately 70.76 degrees.
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
Let's start with the ratio of the size of angle DEA to the size of angle CDE. We can express this ratio as:
angle DEA : angle CDE = 5 : 2
We know that the sum of the angles in a triangle is 180 degrees, so we can use this fact to express angle DEA and angle CDE in terms of angle ABD:
angle DEA + angle CDE + angle ABD = 180
Substituting the ratio given above, we get:
5x + 2x + angle ABD = 180
Simplifying, we get:
7x + angle ABD = 180
Next, let's consider the ratio of the size of angle EAB to the size of angle ABC, which is given as 4:3. We can express this ratio as:
angle EAB : angle ABC = 4 : 3
We know that angle EAB and angle ABC are adjacent angles, so their sum is equal to angle ABD:
angle EAB + angle ABC = angle ABD
Substituting the ratio given above, we get:
4y + 3y = angle ABD
Simplifying, we get:
7y = angle ABD
Now we have two equations:
7x + angle ABD = 180
7y = angle ABD
We can substitute the second equation into the first to get an equation in terms of y:
7x + 7y = 180
Simplifying, we get:
x + y = 25.71
Now we can use the ratio of angle EAB to angle ABC to find y:
angle EAB : angle ABC = 4 : 3
4y : 3y = 4 : 3
Simplifying, we get:
4y = 3(106 - angle EAB)
Expanding, we get:
4y = 318 - 3angle EAB
Substituting the equation we found for y above, we get:
4(25.71 - x) = 318 - 3angle EAB
Simplifying, we get:
angle EAB = 70.76
Therefore, the size of angle EAB is approximately 70.76 degrees.
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Helppp!! you will be awarded brainliest , but only if its right .
Answers
Answer:
A or c
Step-by-step explanation:
Please help! (look at the image below!!)
Answers
The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.
What is ordering of numbersThe ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.
12⅝ = 101/8 = 12.645
12.62 = 12.62
√146 = 12.0830
12.39 = 12.39
12¾ = 51/4 = 12.75
Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.
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2+2^2 divided by 4+3. THIS IS A MULTIPLE CHOICE QUESTION PLEASE REMEMBER THAT option: 6, 7, 21, 67
Answers
Answer:
6
Step-by-step explanation:
Answer: From what I can tell it is 6 divided by 7 so I don't know. Go with 6 as your answer I would say.
Step-by-step explanation:
find a area of a circumference that is 13 ft for 3.14 π
Answers
Answer:
4.14x3.14=12.9996
Step-by-step explanation:
This is the closest to 13 ft via circumference
Here is a few equations a dn formulas to remind you.
Area=3.14xRxR or Pi*rr
This is Pi times the radius times the radius.
The radius is half of the circle or half of the Diameter.
Area(semi-circle)=1/2x3.14xrxr
Circumfrence=3.14xDor 3.14xdiameter
If this answer helped pls give brainlest.
Use spherical coordinates to find the volume of the region outside the cone phi = pi /4 and inside the sphere rho = 4 cos phi. The volume is ____ . (Type an exact answer, using pi as needed.)
Answers
The volume is 63.717 cubic units
The limits of integration for rho are 0 and 4 cos phi, since the sphere has radius 4 cos phi. The limits for phi are π/4 and π/2, since we want to consider the region outside the cone but inside the sphere, and phi is the angle between the positive z-axis and the position vector of a point. Finally, the limits for theta are 0 and 2π, since theta is the azimuthal angle and we want to integrate over the entire azimuthal angle.
Thus, the volume of the region is given by:
V = 8 x ∫(0 to 2π) ∫(π/4 to π/2) ∫(0 to 4 cos phi) ρ² sin phi dρ dphi dtheta
Simplifying the integral using basic calculus, we get:
V = 8 x (64/3 - 16/3√2π) = 63.717
Therefore, the volume of the region outside the cone phi = π/4 and inside the sphere rho = 4 cos phi is 8(64/3 - 16/3√2π), which is an exact answer using π as needed.
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how to find linear function from tabel
Answers
I need help on Finding the base and height
Answers
Answer:
The 1st one
Step-by-step explanation:
Because it is a right triangle you can see that by the 90* box next to the height and if you turn it over a little you can tell that it is the 1st one.
____________________________________________________________-HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!
A reaction with a calculated yield of 9.23 g produced 7.89 g of product. What is thepercent yield for this reaction?
Answers
The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.
The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.
Theoretical yield is given as mt = 9.23 g
The actual amount of product recovered is given as ma = 7.89 g
We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.
Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %
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Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.
Answers
The average velocity from t = 2s to t = 4s would be - 48 ft/s.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.
Average velocity
Average rate of change of velocity with time is called average velocity. Mathematically -
v{avg.} = Δx/Δt .... Eq { 1 }
Δx = x(4) - x(2)
Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}
Δx = - 96
Δt = 4 - 2 = 2
So -
v{avg.} = Δx/Δt = -96/2 = - 48 ft/s
Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.
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Please hurry this is due today -5/3 +2 1/3 as a fraction
Answers
Answer:
2 over 3
Step-by-step explanation:
.
You roll a six-sided die. Find the probability of the event described. Explain your reasoning. you roll a multiple of 3.
Answers
The only multiples of 3 are 3 and 6.
So there are only two good outcomes out of a total of 6. 2/6 = 1/3
Answer:
1/3
Step-by-step explanation:
You could roll a 1,2,3,4,5,6
What are the multiples of 3? They are 3,6
P( multiple of 3) = number of multiples of 3 / total
=2/6
=1/3
Use the law of cosines to find each missing side. Round to the nearest tenth
Answers
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known. The value of x is 117.8°. thus, the correct option is A.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
\(Cos(\theta) = \dfrac{a^2+b^2-c^2}{2ab}\)
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
As per the law of cosine, the measure of angle x can be written as,
\(Cos(x) = \dfrac{12^2+5^2-15^2}{2(5)(12)}\\\\Cos(x) = \dfrac{-56}{120}\\\\x = 117.8^o\)
Hence, the value of x is 117.8°. thus, the correct option is A.
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A sequence is shown below.
8.0, 6.5, 5.0, 3.5, . . .
In the recursive formula for the sequence, if an=−4.0 , what is the value of an+1 ?
A
–2.5
B
–5.5
C
–6.0
D
–3.0
Answers
The value of the sequence aₙ₊₁ is -5.5
How to determine the value of the sequenceThe definition of the sequence is given as
8.0, 6.5, 5.0, 3.5, . . .
The above definitions imply that we simply subtract 1.5 from the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ₊₁ = aₙ - 1.5
From the question, we have
aₙ = -4.0
Substitute the known values in the above equation, so, we have the following representation
aₙ₊₁ = -4.0 - 1.5
Evaluate
aₙ₊₁ = -5.5
Hence, the value of aₙ₊₁ is -5.5
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A. -9/2
B. 24/4
C. -11.0
D. 1 6/7
Answers
Answer:
I think it's C because it's a whole number while the others are fractions or decimals
hope this helps
have a good day :)
Step-by-step explanation:
If the speed and the charge of a particle moving across a magnetic field are each doubled, the deflecting force will be: Select one: a. doubled b. halved c. quartered d. quadrupled
Answers
If the speed and the charge of a particle moving across a magnetic field are each doubled, the deflecting force will be:
d. The deflecting force will be quadrupled.
The deflecting force experienced by a charged particle moving across a magnetic field is given by the equation F = qvBsinθ, where F is the deflecting force, q is the charge of the particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.
If both the speed (v) and charge (q) of the particle are doubled, the deflecting force (F) can be calculated by substituting the new values into the equation:
F' = (2q)(2v)Bsinθ = 4(qvBsinθ) = 4F
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Determine the 99% confidence interval estimate for the population mean of a normal distribution given
n=100,
σ=125,
and
x=1,400.
The 99% confidence interval for the population mean is from enter your response here to enter your response here.
(Round to two decimal places as needed. Use ascending order.)
Answers
The 99% confidence interval for the population mean is from 1,367.80 to 1,432.20. (Round to two decimal places)
To determine the 99% confidence interval estimate for the population mean, we can use the formula:
CI = x ± z * (σ / √n)
where CI represents the confidence interval, x is the sample mean, σ is the population standard deviation, n is the sample size, and z is the critical value corresponding to the desired confidence level.
Given:
x = 1,400
σ = 125
n = 100
First, we need to find the critical value for a 99% confidence level. The z-value corresponding to a 99% confidence level is approximately 2.576.
Next, we can calculate the confidence interval as follows:
CI = 1,400 ± 2.576 * (125 / √100)
CI = 1,400 ± 2.576 * 12.5
CI = 1,400 ± 32.20
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PLEASE HELP!!
Given the answer for part D, write an expression that will tell you the direction the robot is going if, in the course of its journey, it turns left 21 times and turns right 22 times. Does the order the robot makes the turns in matter for the purpose of knowing the direction it is finally facing?
The answer to part D is in the picture...
Answers
Answer:
[(i^21) - (i^22)]d
the direction will not matter because the direction will always be the same no matter what order you choose
Step-by-step explanation:
This is the answer
The expression that will tell you the direction the robot is going will be ((i)²¹*(-i)²²)d i.e. right to the initial direction. And the order does not matter for the direction it is finally facing.
What is rotation in complex plane?When in the complex plane, the line is rotated clockwise, then the line is multiplied by -i and when the line is rotated anti-clockwise, then the line is multiplied by i.
A right turn is the clockwise rotation of the direction vector by the angle of 90°. It is equivalent to multiplying the complex number by -i.
A left turn represents a counterclockwise rotation of the direction vector by the angle of 90°. It is equivalent to multiplying the complex number by i.
Here assume the initial direction vector of the robot is d
the robot is turned to the left 21 times. so now the direction vector will be di²¹. Then it is rotated right 22 times, now the direction vector will be (di²¹)*(-i)²²=d((i)²¹*(-i)²²).
So, now the direction that the robot is going= d((i)²¹*(-i)²²)= di²¹⁺²²=di⁴³= d(-i)= -di
means the robot is the right of the initial direction.
Now the expression that shows the direction that the robot is going is d((i)²¹*(-i)²²).
The order does not matter as the direction will always be the same irrespective of the order.
Therefore The expression that will tell you the direction the robot is going will be ((i)²¹*(-i)²²)d i.e. right to the initial direction. And the order does not matter for the direction it is finally facing.
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A student was asked to find the length of the unknown leg of the right triangle. He incorrectly said that the length of the unknown leg of the right triangle is about 6.2 cm. Find the length of the unknown leg of the right triangle.The length of the unknown leg of the triangle is ______cm. (Round to one decimal place as needed.)What mistake might the student have made? A. He added the two given valuesB. He subtracted the two given values C. He did not square the length of the given leg D. He did not square the length of the hypotenuse
Answers
6 cm, C. He did not square the length of the given leg
Explanation
to solve this we need to use the Pythagorean theorem
T.P states for all rigth triangles:
\(a^2+b^2=c^2\)then
Step 1
let
a=2.3
b=b
c=6.4
replace
\(\begin{gathered} 2.3^2+b^2=6.4^2 \\ \text{now, we n}eed\text{ isolate b} \\ 5.29+b^2=40.96 \\ \text{subtract 5.29 in both sides} \\ 5.29+b^2-5.29=40.96-5.29 \\ b^2=35.67 \\ \text{square root in both sides} \\ \sqrt[]{b^2}=\sqrt[]{35.67} \\ b=5.97 \\ \text{rounded} \\ b=6 \end{gathered}\)Step 2
What mistake might the student have made?
check
A)He added the two given values
\(2.3+6.4=8.7\)B) He subtracted the two given values
\(6.4-2.3=4.1\)C)He did not square the length of the given leg
\(\begin{gathered} 2.3^{}+b^2=6.4^2 \\ b^2=6.4^2-2.3 \\ b^2=38.66 \\ b=\sqrt[]{38.66} \\ b=6.21 \\ \text{rounded} \\ b=6.2 \end{gathered}\)D. He did not square the length of the hypotenuse
\(\begin{gathered} 2.3^2+b^2^{}=6.4 \\ b^2=6.4-2.3^2 \\ b^2=1.11 \\ b=\sqrt[]{1.11} \\ b=1.05 \end{gathered}\)so, the answer is C
I hope this helps you
For each scenario below, choose the graph that gives the best representation.
(a) A bird of prey leaves the nest to go hunting. It flies for several kilometers away from the nest before stopping to eat. After eating, it continues
flying away from the nest for several more kilometers, looking for more food.
Answers
The graph that gives the best representation of the scenario is: option 1 (A).
Graph of Distance vs TimeA typical graph of distance vs time shows the distance covered as against time.If the graph shows a line that slopes upwards, it implies movement from a spot, if it shows an horizontal line, it implies a rest.The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.
As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.
The upward slope from the spot represents the further distance the bird is flying in search for more food.
Therefore, the graph that gives the best representation of the scenario is: option 1 (A).
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Do you know Squidward? According to a survey by Nickelodeon TV, 92% of children under in Germany recognized a picture of the cartoon character SpongeBob SquarePants. Assume that among those children, 83% also recognized SpongeBob's cranky neighbor Squidward Tentacles. What is the probability that a German child recognized both SpongeBob and Squidward? Write your answer as a fraction or a decimal, rounded to four decimal places.
Answers
SOLUTION
Now from the question,
Probability that a German child recognized SpongeBob is 92% and
Probability that a German child recognized Squidward is 83%
So, Probability (SpongeBob and Squidward) becomes
\(\begin{gathered} 92\%\times83\% \\ \frac{92}{100}\times\frac{83}{100} \\ 0.92\times0.83 \\ =0.7636 \end{gathered}\)Hence the answer is 0.7636 rounded to four decimal places.
Binaya spent 10 of his pocket money. He has Rs 120 left now. Find:
(1) How much money did he spend? (i) How much money did he have?
Answers
Answer:
$10 and $130
Step-by-step explanation:
If he spent 10 of his pocket money, then he spent 10
Because he spent 10, that means that he had 120 + 10 = 130 at the start
A.
х
which expression can be used to solve } = 7
15 / 8 x 10
OB. x
{ 10
O c 2 x 10
o D. 2 / 3 x 70
х
Answers
Answer:
im not 100% sure but its "c"
Answer:
C C C C C
Step-by-step explanation:
PLEASE HELP!
The table shows a representation of the number of miles a car drives over time.
A 2-column table with 4 rows. Column 1 is labeled Hours, x with entries 3, 4, 5, 6. Column 2 is labeled Miles, y with entries 195, 260, 325, 390. Pattern: Each x value is multiplied by 65 to get each y value.
What is the equation for this situation?
y = 195 +3
y = 195
y = 65 +3
y = 65
Which could NOT be a point on this table?
2, 130
8, 445
1, 65
11, 715
Answers
Answer:
y=65x and 8455 there yall go
Step-by-step explanation:
what's common among these numbers?
2, 5, 19, 23, 29, 31, 43, and 47
Answers
Answer: Prime Numbers
28Million rouned to the nearst 10
Answers
Answer:
Exactly 28million
Step-by-step explanation:
Solve for x. Show your work.
5(x + 2) = 3x - 16
Answers
Answer:
x=-13
Step-by-step explanation:
5(x + 2) = 3x - 16
5x+10-10=3x-16-10
5x-3x=3x-3x-26
2x/2=-26/2
x=-13
Yesenia records the ages of 9 friends. A
box plot of her data set is shown.
Click above the number line to create a
dot plot that could represent Yesenia's
data set
Answers
Answer:
did not get the point of the sum
A girl scout troop uses 14 flashlight batteries on a three-night camping trip. If they are planning a seven-night
trip, what is the minimum number of batteries they should bring?
***round to nearest whole battery ***
Answers
Answer:
33 batteries
Step-by-step explanation:
14/3 = 4.666 which you round to 5
14 +14 =28
28 +5 =33
Answer:
35
Step-by-step explanation:
If ABC - AZXY, mZA = 50, and mZC = 30,
what is mZX?
Answers
Let it be x
Using angle sum theory
\(\\ \sf\longmapsto 50+30+x=180\)
\(\\ \sf\longmapsto 80+x=180\)
\(\\ \sf\longmapsto x=180-80\)
\(\\ \sf\longmapsto x=100\)