Answer:
Maybe option B. 8^8
I am not sure though..
Answer:
the answer should be B
Step-by-step explanation:
There are four activities on the critical path. Coincidentally, their standard deviations are all equal to 4. The standard deviation of the critical path is therefore equal to: Multiple Choice 16. 64. 4. 2. 8.
Answer:
8
Step-by-step explanation:
Given that :
Number of activities = 4
Standard deviation of each activity = 4
Standard deviation of the critical path =?
To obtain the standard deviation of the critical path :
Take the square of each standard deviation:
Activity 1 = 4² = 16; activity 2 = 4² = 16 ; activity 3 = 4² = 16 ; activity 4 = 4² = 16
Sum of the squares :
16 + 16 + 16 + 16 = 64
Square root of the sum:
√64 = 8
Solve for x.
ln(x+3) = ln10 - ln(x)
Answer:
x =2
Step-by-step explanation:
Solve for x:
log(x + 3) = log(10) - log(x)
Hint: | Move everything to the left hand side.
Subtract log(10) - log(x) from both sides:
-log(10) + log(x) + log(x + 3) = 0
Hint: | Combine logarithms.
-log(10) + log(x) + log(x + 3) = log(1/10) + log(x) + log(x + 3) = log(1/10 x (x + 3)):
log(1/10 x (x + 3)) = 0
Hint: | Eliminate the logarithm from the left hand side.
Cancel logarithms by taking exp of both sides:
1/10 x (x + 3) = 1
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides by 10:
x (x + 3) = 10
Hint: | Write the quadratic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
x^2 + 3 x = 10
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 49/4
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 3/2)^2 = 49/4
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 3/2 = 7/2 or x + 3/2 = -7/2
Hint: | Look at the first equation: Solve for x.
Subtract 3/2 from both sides:
x = 2 or x + 3/2 = -7/2
Hint: | Look at the second equation: Solve for x.
Subtract 3/2 from both sides:
x = 2 or x = -5
Hint: | Now test that these solutions are correct by substituting into the original equation.
Check the solution x = -5.
log(x + 3) ⇒ log(3 - 5) = i π + log(2) ≈ 0.693147 + 3.14159 i
log(10) - log(x) ⇒ log(10) - log(-5) = -i π + log(2) ≈ 0.693147 - 3.14159 i:
So this solution is incorrect
Hint: | Check the solution x = 2.
log(x + 3) ⇒ log(3 + 2) = log(5) ≈ 1.60944
log(10) - log(x) ⇒ log(10) - log(2) = log(5) ≈ 1.60944:
So this solution is correct
Hint: | Gather any correct solutions.
The solution is:
Answer: x = 2
Math help! Answer pls?
Answer:
22 degrees
Step-by-step explanation:
Just do arccos(0.9272) on your calculator or just do 90 minus 68.
Lauder Company had fixed costs of $282,500, variable costs of $645,000, and actual sales amounted to $1,100,000. If the company has a break-even point at $750,000 in sales revenue.a. determine the margin of safety expressed in dollars
b. determine the margin of safety expressed as a percentage of sales. Enter percentage amount as a whole number.
____%
c. Determine contribution margin ratio
_____%
d. Determine the operating income
$______
The Operating income is $172,500.
To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.
a. Margin of Safety:
Margin of Safety = Actual Sales - Break-even Sales
Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:
Margin of Safety = $1,100,000 - $750,000 = $350,000
Therefore, the margin of safety is $350,000.
b. Margin of Safety as a Percentage of Sales:
Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100
Using the values from the previous calculations:
Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%
Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.
c. Contribution Margin Ratio:
Contribution Margin Ratio = (Contribution Margin / Sales) * 100
To calculate the contribution margin, we need to subtract variable costs from sales:
Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000
Using the values, we can calculate the contribution margin ratio:
Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%
Therefore, the contribution margin ratio is approximately 41.36%.
d. Operating Income:
Operating Income = Sales - Variable Costs - Fixed Costs
Using the values provided:
Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500
Therefore, the operating income is $172,500.
For more questions on Operating .
https://brainly.com/question/550188
#SPJ8
What is the value of A when we rewrite 6^x as A^x/4
The value of A when we rewrite 6^x as A^x/4 is 3/2
What is an algebraic expression?An algebraic expression can simply be defined as a mathematical expression that consists of terms, factors, constants, coefficients and variables.
They are also known as expressions made up of arithmetic operations, such as;
AdditionBracketParenthesesDivisionMultiplicationSubtractionFrom the information given, we have that;
The function is given as;
6^x
Here, the coefficient or rather the base is 6
To determine the value of A when ^^x is given as A^x/4
The value of A would be;
6/4 = 3/2
Learn about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
What postulate or theorem allows you to state that angle DEF is congruent to angle GHJ
Then you can state that angle DEF is congruent to angle GHJ.
The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.
This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.
In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and
you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.
To learn more about : congruent
https://brainly.com/question/29789999
#SPJ8
Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.
Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.
Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.
Answer: B. Sameer did not use the correct equation
Step-by-step explanation:
12 IS three-fourths OF x
IS: equals
OF: multiplication
\(12=\dfrac{3}{4}x\)
48 = 3x
16 = x
Answer:
it's b in Edg
Step-by-step explanation:
Let V and W be finite dimensional vector spaces. Assume that dim(W) = m, and dim(V) n. Suppose v V and vメ0. (a) Let U T E L(V,w) : T(v) -0]. Prove that U is a subspace of L(V, W) (b) Let F : L(V,W) → W be the map defined by F(T) =T(v). Show that F is a linear map, and U is the null space of F. (c) Find the dimension of U.
(a) U is a subspace of L(V, W) (b) F is a linear map, and U is the null space of F. (c) The dimension of U is n - 1
The dimension of U is n - 1
(a) To demonstrate that U is a subspace of L(V, W), we must demonstrate that it meets the three subspace properties:
If T1 and T2 are in U, then T1 + T2 is in U as well, since if T1(v) = 0 and T2(v) = 0, then (T1 + T2)(v) = T1(v) + T2(v) = 0 + 0 = 0.
If T is in U and c is a scalar, then cT is in U, since if T(v) = 0, then (cT)(v) = c * T(v) = c * 0 = 0.
Containing the zero vector: Because 0(v) = 0, the zero transformation in L(V, W), indicated by 0, is in U.
As a result, U is a subspace of L. (V, W).
(b) To demonstrate that F is a linear map, we must demonstrate that it meets the following two properties:
Addition linearity: F(T1 + T2) = (T1 + T2)(v) = T1(v) + T2(v) = F(T1) + F(T2) (T2).
Homogeneity is defined as F(cT) = (cT)(v) = c * T(v) = c * F. (T).
As a result, F is a linear map. To demonstrate that U is the null space of F, we must first demonstrate that U is the set of all T in L(V, W) such that F(T) = 0. In other words, T(v) = 0.
(c) A basis for U can be used to calculate the dimension of U. Because U is a subspace of L(V, W), we may construct a basis for U by limiting a basis for L(V, W) to U. A basis for L(V, W) can be produced by designating as T1, T2,..., Tn the set of all transformations that send the standard basis vectors of V to the standard basis vectors of W. These transformations' constraints to U are T1, T2,..., Tn such that T1(v) = T2(v) =... = Tn(v) = 0. Because v = 0, T1, T2,..., Tn constitute a linearly independent set. As a result, dim(U) = n - 1.
For more such questions on Dimensions, click on:
https://brainly.com/question/28464
#SPJ4
ANSWERS ASAP PLEASEEE
suppose a random sample of 40 houses are selected from the city. estimate the probability that the mean value of the 40 houses is less than $500,000 . show your work
a. Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.
To estimate the probability that a randomly selected house has a value less than $500,000:
P( x < 500,000)=P(x=0)+P(x=500)
=0.34+0.37+
=0.71
Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. -since 40 is larger than or equal to 30, we assume a normal distribution.
-The probability can therefore be calculated as:
P(x')=P( z < (x' -u)/σ.sqrt(n)))
P(z< (500-403)/(578sqrt(40)))
=P(z<2.2068)
=0.986336
Hence, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
The complete question is -
a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.
(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.
learn more about probability,
https://brainly.com/question/30034780
#SPJ4
Drawn from Quiz 5 Prep Notes: 20.5) Suppose that the study in the amount of healing as measured in square mm of new tissue for the median difference between the methods of soaking the amputated injured newt limbs in a control versus a benzamil solution in the previous problem 20.4), yielded a 95% confidence interval of (-0.02, 0.16) mm? Interpret the meaning of the 95% confidence interval: 96% of what must be true? Select the correct order and number of sentence fragments below that wil express the correct interpretation of 95% confidence. Click and drag 8 sentence fragments from the left column to form a correct interpretation of the meaning of 95% confidence in the right column. Your selections must be in the correct order to read the interpretation as correct. ..to create the correct interpretation of confidence here Choose phrases from here... there is a 95% chance that 96% confidence means that will generate confidence intervals that bracket will form confidence intervals that fit within the confidence interval of (-0.02. 0.16) we have calculated there is a 95% chance that 95% confidence means that will generate confidence intervals that bracket will form confidence intervals that fit within the confidence interval of (-0.02, 0.16) we have calculated. has at least as much healing as was seen in for the median difference of healing in mm the true median difference the true mean difference all random samples drawn 95% of will exist within the confidence interval the sample median difference of new tissue formed in mm. between the methods of soaking in a control vs benzamil solution
The 95% confidence interval of (-0.02, 0.16) mm for the median difference between the methods of soaking the amputated injured newt limbs in a control versus a benjamin solution means that we are 95% confident that the true median difference of healing in mm will exist within the confidence interval of (-0.02, 0.16).
The 95% confidence interval of (-0.02, 0.16) mm means that there is a 95% chance that the true median difference in healing between the methods of soaking the amputated injured newt limbs in a control versus a benjamin solution falls within this range. This means that 95% of all random samples drawn will exist within this confidence interval, and we can be confident that the methods used in this study have at least as much healing as was seen in the sample median difference of new tissue formed in mm. Therefore, with 96% confidence, we can say that the true median difference in healing between the two methods is somewhere within this range. Methods used to generate confidence intervals that bracket the true median difference will form confidence intervals that fit within the confidence interval of (-0.02, 0.16) we have calculated.
Learn more about confidence intervals:
brainly.com/question/31420373
#SPJ11
Rae's unpaid credit card balance was $1,603. Her APR is 28.6%. What is her new
balance after she makes one new transaction for $51? Round answer to the
hundredths place. If answer doesn't have a hundredths place then include a zero so
that it does. Use a word not a symbol for the units.
$2010.458 is her new balance after she makes one new transaction for $51.
What does a credit balance mean?
The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.
When you return something you purchased with your credit card, you can receive an additional credit.
Credit balance = $1,603
APR = 28.6%
= 28.6% * $1,603
= 458.458
Credit balance = $1,603 + 458.458
= $2061.458
net balance = $2061.458 - 51
= $2010.458
Learn more about credit balance
brainly.com/question/14781034
#SPJ1
Given that is both the median and altitude of , congruence postulate SAS is used to prove that is what type of triangle?
A.
equilateral
B.
scalene obtuse
C.
isosceles
D.
scalene acute
Answer:isosceles is the correct
Step-by-step explanation:
According to the given conditions the triangle ABC is an isosceles triangle.
What is an isosceles triangle?An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.
Given that, BD is median and altitude in the triangle ABC, and we are asked to find that what type of the triangle ABC will be if we prove triangles ADB and CBD congruent by SAS rule,
So, the proof is as follows,
AD = CD [definition of median]
∠ ADB = ∠ CDB [definition of altitude]
BD = BD [reflexive property]
∴ Δ ADB ≅ Δ CBD by SAS rule
AB = BC by CPCT
According to the definition of an isosceles triangle we can say that, ABC is an isosceles triangle.
Hence, according to the given conditions the triangle ABC is an isosceles triangle.
Learn more about isosceles triangles, click;
https://brainly.com/question/2456591
#SPJ7
Solve for interior angles
Answer:
(x+17)°=25° <---Smallest Angle
(7x-16)°=40°
115°=115°
Step-by-step explanation:
Because the angles in a triangle add up to 180°, 115°+(x+17)°+(7x-16)°=180°
Now we can solve algebraically.
115°+(x+17)°+(7x-16)°=180°
115+x+17+7x-16=180
Rearrange:
115+17-16+7x+x=180
Solve:
115+1+8x=180
116+8x=180
8x=180-116
8x=64
x=8
Now we can fill x in to find the measure of the angles.
(x+17)°
(8+17)°
=25°
(7x-16)°
56-16
=40°
Check:
40+25+115
65+115
5+175
=180°, so our angles add up.
PLEASE MARK AS BRAINLIEST
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
Learn more about probability at https://brainly.com/question/13604758
#SPJ1
I NEED HELP WITH THIS QUESTION PLEASE NO LINKS!!!
Answer:
-1/3
Hope this helps also I would appreciate brainliest is possible please :)
Answer:
c
Step-by-step explanation:
A piano keyboard has a total of 88 key.Which best describes the relationship the black keys have with each other
The relationship that the black keys have with each other in piano keyboard has a total of 88 keys is that there are 9 blacks keys for every 22 keys.
How to illustrate the information?It should be noted that in a piano keyboard that has a total of 88 keys, the number of black keys that are in the piano is 36 black keys.
Therefore, the appropriate ratio between the black keys and total keys will be:
= 36 / 88
= 9 / 22
= 9:22
Therefore, the relationship is that there are 9 blacks keys for every 22 keys.
Learn more about piano on:
brainly.com/question/2109428
#SPJ1
the correct answer.
Which inequality represents the values of that ensure triangle ABC exists?
A
2x+4
B
O D.
18
OA.
<< 1
OB. -< < ¹
O c. 1 < x < 5
6x
2 < < 6
The Inequality which ensure triangle exists is A. 7/4 < x < 11/2
What is the inequalityInequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."
Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.
Theorem used In ΔABC,
AB + BC >AC
AC+ BC >AB
AC + AB > BC
According to the question,
In triangle ABC.
AC = 18units
BC = 6x units,
AB = 2x + 4 units
Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.
Learn more about inequalities on
https://brainly.com/question/24372553
#SPJ1
A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home order than before it. The mean for number of games started per minute before the stay at home order was 1000. The researchers hypothesize that after the stay at home order, the online platform was accessed more so than before the stay at home order. They set alpha = .05 The mean for number of games started per minute after the stay at home order, was 1378 with a standard deviation of 489. The sample size was 108,000.
a. Given this conclusion, what can you say about the p value of this test statistic?
b. Please calculate the effect size. Is it small, medium, or large?
Answer:
a) The P-value is 0.
At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.
b) Effect size d = 0.77
Medium.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the online platform was accessed significantly more so than before the stay at home order.
Then, the null and alternative hypothesis are:
\(H_0: \mu=1000\\\\H_a:\mu> 1000\)
The significance level is 0.05.
The sample has a size n=108000.
The sample mean is M=1378.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.
The estimated standard error of the mean is computed using the formula:
s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488
Then, we can calculate the t-statistic as:
t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036
The degrees of freedom for this sample size are:
\(df=n-1=108000-1=107999\)
This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):
\(\text{P-value}=P(t>254.036)=0\)
As the P-value (0) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.
The effect size can be estimated with the Cohen's d.
This can be calculated as:
\(d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77\)
The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.
What ordered pair would be located 5 units to the right on the x-axis?
Write answer (x,y):
10
9
8
7
6
5
1
>X
0 1 2 3 4 5 6 7 8 9 10
Answer:
(5, 0)
Step-by-step explanation:
The ordered pair located 5 units to the right on the x axis is (5, 0) which indicates the x-location first (x = 5) and the y-location in the second coordinate (y = 0)
Brainliest if correct
Answer:
y = 7.Step-by-step explanation:
Simplify the equation:
3 * y + 5 * y = 56.Solve the equation. Find y:
3 * y + 5 * y = 56= 3 * 7 + 5 * 7 = 56= 21 + 35 = 56= 56.y = 7.
Answer:
0.-3 simplified is -3
Which
expression is equivalent to -3-4
Answer: wheres the photo ?
Step-by-step explanation:
Answer:
-3-4=-7
-3+(-4)
hope this helps
have a good day :)
Step-by-step explanation:
John bought a shirt at ksh 500 and marked it at Ksh 600. A customer bought it at ksh 550. What was the percentage discount?
Answer:
The original price of the shirt was Ksh 500 and it was sold for Ksh 550.
The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.
To find the percentage discount, we can use the formula:
percentage discount = (discount ÷ original price) × 100%
percentage discount = (-50 ÷ 500) × 100%
percentage discount = -10%
Therefore, the percentage discount is 10%.
A study was performed with a random sample of 1500 people from two colleges located in one city. what population would be appropriate for general conclusion from the study, assuming the data collection methods used did not introduce biases?
Using sampling concepts, it is found that a population of all the students in those two colleges would be appropriate for study.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, a group of students is taken from two colleges, hence a population of all the students in those two colleges would be appropriate for study.
More can be learned about sampling at https://brainly.com/question/25122507
#SPJ1
Plz HELP BRAINLIEST IF CORRECT IM KINDA IN A RUSH PLZ HELP ;)
Answer:
0.5 quarts of orange juice per quart of punch
Step-by-step explanation:
1.5/3=0.5
Answer:
0.5
Step-by-step explanation:
Since 1.5 quarts are required for 3 quarts you need to divide 1.5 and 3.
1.5 ÷ 3 = 0.5
The vectors v and w lie in the coordinate plane such that their initial points are at the origin. Vector v has a magnitude of 2 and direction of 45° North of East. Vector w has a magnitude of 2 and a direction of 45° South of East. What is the magnitude of the vector v+w?
The vector v+w has a magnitude of 2√2 and its direction is along the positive x-axis.
What is meant by vector?
A vector is a quantity that has both magnitude and direction. It is represented as an arrow with its length representing the magnitude and its direction representing the direction of the quantity.
What is meant by the x-axis?
The x-axis is the horizontal line on a coordinate plane that is used as a reference for plotting and describing the positions of points in two-dimensional space. It is often referred to as the "horizontal axis" or the "abscissa".
According to the given information
Here the vector v has a magnitude of 2 and a direction of 45° so the components of vector v are:
v_x = 2 cos 45° = √2
v_y = 2 sin 45° = √2
Vector w has a magnitude of 2 and a direction of 45° South of East. This means that the angle between vector w and the positive x-axis is 45°, and the angle between vector w and the negative y-axis is 45°. Therefore, the components of vector w are:
w_x = 2 cos 45° = √2
w_y = -2 sin 45° = -√2
Now we can add the components of vectors v and w to find the components of the vector v+w:
(v+w)_x = v_x + w_x = √2 + √2 = 2√2
(v+w)_y = v_y + w_y = √2 - √2 = 0
To know more about x-axis visit
brainly.com/question/12032954
#SPJ1
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
To learn more about factorise here,
https://brainly.com/question/10718512
https://brainly.com/question/24734894
PLS ANSWER 15 POINTS + BRAINLIEST IF RIGHT!
Tom simplified an expression in three steps, as shown:
x to the power of negative 2 multiplied by y to the power of 4, over y multiplied by x to the power of 4 multiplied by x to the power of 4 multiplied by y to the power of negative 2, the whole to the power of 4
Step 1:
x to the power of 2 multiplied by y to the power of 8, over y to the power of 4 multiplied by x to the power of 8 multiplied by x to the power of 8 multiplied by y to the power of 2
Step 2:
x to the power of 2 multiplied by y to the power of 8, over y to the power of 6 multiplied by x to the power of 16.
Step 3:
x to the power of negative 13 multiplied by y squared
Which is the first incorrect step and why?
Step 1, all the exponents are increased by 4
Step 2, the exponents of the same base are added during multiplication
Step 3, the exponents of the same base are subtracted during division
Step 3, all the exponents are added during division
NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?
The probability of picking a white marble is 3/10
What is the probability of picking a white marble?From the question, we have the following parameters that can be used in our computation:
four green marbles, six white marbles, and ten red marbles
This means that
Total = 4 + 6 + 10
Evaluate the sum
Total = 20
The probability of picking a white marble is
P = White/Total
substitute the known values in the above equation, so, we have the following representation
P = 6/20
Evaluate
P = 3/10
Hence, the probability of picking a white marble is 3/10
Read more about probability at
https://brainly.com/question/31649379
#SPJ1
In which number does the 5 have involve that is ten times the value of the number 5000?
A. 23,523
B. 7,508, 240
C. 45,701
D. 556,429
In the number 556,429, 5 have involve that is ten times the value of the number 5000.
The given numbers are 23,523, 7,508,240, 45,701 and 556,429.
What is the place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Option A:
In the number 23,523, 5 is in the hundreds place. So, the value of 5 is 500.
In the number 7,508,240, 5 is in the hundred thousand place. So, the value of 5 is 500,000.
In the number 45,701, 5 is in the thousand place. So, the value of 5 is 5000.
In the number 556,429, 5 is in the ten thousand place and hundred thousand place. So, the value of 5 is 50000 and 500000.
Here, ten times the value of the number 5000 is 50000.
Therefore, in the number 556,429, 5 have involve that is ten times the value of the number 5000.
To learn more about the place value visit:
https://brainly.com/question/21467438.
#SPJ5