Answer:
no
Step-by-step explanation:
x=5
5(5+2)=35
8(5)-3=37
37 does not equal 35
\(Answer: Q\ is\ not\ midpoint\ of\ \overline {PR}\)
Step-by-step explanation:
\(\displaystyle\\\overline {PQ}+\overline {QR}=\overline {PR}\\5(x+2)+(8x-3)=72\)
Expand the parentheses on the left side of the equation:
x(5)+2*(5)+8x-3=72
5x+10+8x-3=72
13x+7=72
13x+7-7=72-7
13x=65
Divide both parts of the equation by 13:
x=5
Hence,
5(5+2)=
5(5)+2(5)=
25+10=
35
8(5)-3=
40-3=
37
35≠37
What is the difference ? Show all your steps.
-4-(-7) =
Answer:
Step-by-step explanation:
−4−(−7)=
The opposite of −7 is 7.
−4+7
Add −4 and 7 to get 3.
3
Answer:
3
Step-by-step explanation:
Think of -4-(-7) as -4+7
just remove the negative and add instead
your answer is 3
If Paula divides her pencils among three friends and herself, everyone gets the same number of pencils. If Paula divides her pencils among
five friends and herself, everyone will get the same number of pencils.
How many pencils could Paula have?
A 28
B. 30
C. 42
D. 48
Suppose you are reading an article online when the following text appeared in a popup window: 'Would you be interested in participating in short health-related survey? If you qualify and complete this rate for this survey? survey Choose the correct answer below 0A- The company is selecting people randomly The company is using an online survey The company is using callbacks 0 0_ The company is using reward in the form of the $2.00 payment and an incentive by telling the readers that
Answer:
Step-by-step explanation:
meow goofy kid
By applying online survey method concept, it can be concluded that the company is using reward in the form of a $2.00 payment and an incentive by telling the readers that his or her input will make a difference (option D).
Online survey is a common survey method used by companies to gather data from a sample of the population.
Response rate is defined by the percentage of persons asked to answer a survey who actually answer the survey.
The company is using an online survey to allow them to reach a larger sample of people and gather data more efficiently.
However, by offering a small reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference, the company is hoping to increase the response rate and get more accurate results from the survey. (option D)
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Full question:
Suppose you are reading an article online when the following text appeared in a popup window:
"Would you be interested in participating in a short health-related survey? If you qualify and complete this survey, you will receive $2.00".
What tactic is being used to increase the response rate for this survey? A. The company is selecting people randomly.
B. The company is using an online survey.
C. The company is using callbacks.
D. The company is using a reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference
What is the opposite of negative seven?
Answer: 7 is the opposite of negative 7
Step-by-step explanation:
Hope this helps :)
Hello help me with these ones pls
Answer:
(-1,3)
Step-by-step explanation:
Solve for x in the first equation
3x = 6 - 3y
9x - 5y= -24
Replace all occurrences of x with 2 - y in each equation
9(2 - y) - 5y = -24
x = 2 - y
Simplify the left side
18 - 4y = -24
x = 2 - y
Solve for y in the first equation
-14y = -42
x = 2 - y
y=3
x = 2- y
Replace all occurrences of y with 3 in each equation
x=-1
y=3
(-1,3)
Hope this helps!
Please give brainliest :)
If you need more help with these types of equations reach out to me!
Simplifying
3x + 6 = 9x + -24
Reorder the terms:
6 + 3x = 9x + -24
Reorder the terms:
6 + 3x = -24 + 9x
Solving
6 + 3x = -24 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
6 + 3x + -9x = -24 + 9x + -9x
Combine like terms: 3x + -9x = -6x
6 + -6x = -24 + 9x + -9x
Combine like terms: 9x + -9x = 0
6 + -6x = -24 + 0
6 + -6x = -24
Add '-6' to each side of the equation.
6 + -6 + -6x = -24 + -6
Combine like terms: 6 + -6 = 0
0 + -6x = -24 + -6
-6x = -24 + -6
Combine like terms: -24 + -6 = -30
-6x = -30
Divide each side by '-6'.
x = 5
Simplifying
x = 5
1. Find the Perimeter AND the Area of the following objects with the given coordinate
pairs:
(7,-5) (-5, 4) (-8, 0) (4, -9)
The value of perimeter of figure is,
⇒ 40 units
And, Area of figure is,
⇒ A = 75 units²
We have to given that,
The given coordinates pairs are,
⇒ A (7,-5), B (-5, 4), C (-8, 0) , D(4, -9)
Now, We know that,
The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, We get;
AB = √(- 5 - 7)² + (- 5 - 4)²
AB = √ 144 + 81
AB = √225
AB = 15
BC = √(- 8 + 5)² + (0 - 4)²
BC = √9 + 16
BC = √25
BC = 5
CD = √(4 + 8)² + (- 9 - 0)²
CD = √144 + 81
CD = √225
CD = 15
DA = √(4 - 7)² + (- 9 + 5)²
DA = √9 + 16
DA = √25
DA = 5
Hence, The value of perimeter of figure is,
⇒ 15 + 5 + 15 + 5
⇒ 40 units
And, Area of figure is,
A = Lenght x Width
A = 15 x 5
A = 75 units²
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How do you make comparisons between an equation and a table?.
Overall, equations provide a mathematical representation and understanding of relationships, while tables present data points in a structured format.
When comparing an equation and a table, you can examine their characteristics, purpose, and the information they provide. Here are some points to consider when making comparisons:
Representation:
An equation represents a mathematical relationship between variables using symbols and mathematical operations. A table presents data or values in a structured format, typically organized into rows and columns.
Communication of Information:
Equations provide a concise and general representation of a relationship, allowing for predictions, calculations, and modeling. Tables present specific data points or values, providing a visual representation of how variables are related or how they change.
Variables:
Equations involve variables, which can be manipulated to explore different scenarios and analyze the relationship between quantities. Tables display specific values or data points for variables, showing how they vary or are related based on the given information.
Visualization:
Equations can express relationships symbolically and provide a mathematical understanding, but they may not offer a visual representation of data. Tables provide a visual representation of data points, allowing for a quick overview and easy comparison of values.
Flexibility:
Equations offer flexibility in terms of adjusting variables and parameters to explore different scenarios and make predictions. Tables can be easily modified or expanded by adding or removing data points to reflect new observations or additional information.
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Help me with the question
Answer:
Step-by-step explanation:
Cavenger of 92 miles in 2 2/3 hours if he drove a constant rate how far did he travel in one hour enter your answer as a whole number proper fraction or mixed number in simplest form
Answer:
34 1/2 miles
Step-by-step explanation:
92 miles = 2 2/3 hours
x miles = 1 hour
92 ÷ 2 2/3 = 34.5
34.5 x 1 = 34.5
34.5 miles = 1 hour
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
How do I find x in this ?
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The Correct choice is ~
\(x = 450\)Refer to attachment for solution ~
How is FE₂ different from FE2O3?
Please someone help me, anyone?!!
Answer:
Fe2 is elemental iron and Fe2O3 is a compound
Answer:
Step-by-step explanation:
Fe2 is elemental iron and Fe2O3 is a compound of iron and oxygen.
30 discs coloured green or yellow are placed in a bag so that 5/6 of the discs are yellow. What is the ratio of green to yellow discs in the bag?
Select one:
a. 6:5
b. 1:5
c. 5:1
d. 5:6
the soccer field at bianca’s school has a length of 120 yards and a width of 85 yards. if she runs across the diagonal from one corner to another, how far does she run, in yards? round your answer to the nearest tenth.
The distance that she runs from one corner of the field to another is given as follows:
147.1 yards.
What is the Pythagorean Theorem?The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.
The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:
d² = 85² + 120²
d = sqrt(85² + 120²)
d = 147.1 yards.
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ppose ???????? = 2 cos[2????( ????/ 12 + ????)], ???? ∈ ℤ, where ????~Uniform[0,1]. Find the mean, autocovariance and autocorrelation functions of the time series {???????? ,???? ∈ ℤ}.
The mean of Xt is 0. The autocovariance of Xt is 0, and the autocorrelation is 0 for all lags. Mean: 0. Autocovariance: 2cos(2). Autocorrelation: 2cos²(2).
The mean of Xt is the expected value of the series, which is 0, since the uniform distribution has a mean of 0.5, and when it is multiplied by 2π, it becomes 0. The autocovariance of Xt is the expected value of the product of two variables at different lags, which is 0 because the two variables are uncorrelated. The autocorrelation of Xt is the expected value of the product of two variables at different lags, divided by the product of their variances, which is also 0 since the variables are uncorrelated. The autocovariance and autocorrelation functions are both 2cos²(2πt), which is the expected value of Xt at different lags.
The complete question: Suppose = 2 cos[2( 12 + )], ∈ ℤ, where ~Uniform[0,1]. Find the mean, autocovariance and autocorrelation functions of the time series { , ∈ ℤ}.
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f(x) = −11 + 12x
f(-9)= ?
Please help
Answer:
f(-9) = -119
Step-by-step explanation:
Hello!
You can evaluate for f(-9) by substituting -9 for x in the equation f(x) = -11 + 12x.
Evaluate f(-9)f(x) = -11 + 12xf(-9) = -11 + 12(-9)f(-9) = -11 - 108f(-9) = -119The evaluated value is -119.
Statistics uses methods that generalize results obtained from a sample to the population and measure the reliability of the results. True or false?.
The claim is true. Inferential statistics is a technique used to extrapolate results from population samples and gauge their dependability.
However, it is referred to as descriptive statistics when statistics are used to organize and summarize data.
The procedure and statistical techniques:
1. Determine the purpose of the study.
2. Gather the data.
3. What are the data?
4. Make inferences
Statistics, as a numerical summary of a sample, is a science that involves gathering, arranging, condensing, and analyzing data in order to make judgments and provide answers.
Another goal of statistics is to provide a measure of certainty in any conclusions.
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Draw the normal curve with the parameters indicated. Then find the probability of the random variable . Shade the area that represents the probability. = 50, = 6, P( > 55)
The normal curve with a mean (μ) of 50 and a standard deviation (σ) of 6 is shown below. To find the probability of the random variable being greater than 55 (P(X > 55)), we need to calculate the area under the curve to the right of 55. This shaded area represents the probability.
The normal curve, also known as the Gaussian curve or bell curve, is a symmetrical probability distribution. It is characterized by its mean (μ) and standard deviation (σ), which determine its shape and location. In this case, the mean is 50 (μ = 50) and the standard deviation is 6 (σ = 6).
To find the probability of the random variable being greater than 55 (P(X > 55)), we calculate the area under the normal curve to the right of 55. Since the normal curve is symmetrical, the area to the left of the mean is 0.5 or 50%.
To calculate the probability, we need to standardize the value 55 using the z-score formula: z = (X - μ) / σ. Plugging in the values, we get z = (55 - 50) / 6 = 5/6. Using a z-table or statistical software, we can find the corresponding area under the curve for this z-value. This area represents the probability of the random variable being less than 55 (P(X < 55)).
However, we are interested in the probability of the random variable being greater than 55 (P(X > 55)). To find this, we subtract the area to the left of 55 from 1 (the total area under the curve). Mathematically, P(X > 55) = 1 - P(X < 55). By referring to the z-table or using software, we can find the area to the left of 55 and subtract it from 1 to obtain the shaded area representing the probability of the random variable being greater than 55.
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Complete the statements to verify that the triangles are similar.
QR/TU = __
PR/SU = __
PQ/ST = 52/13 = __
Therefore, △PQR ~ △STU by the _______ theorem.
The answer is that we cannot verify the similarity of triangles △PQR and △STU based on the given information. The missing ratios QR/TU and PR/SU cannot be determined without additional data or measurements. Only the ratio PQ/ST can be determined, which is equal to 4. Therefore, we do not have enough information to conclude that △PQR and △STU are similar triangles.
To verify that the triangles △PQR and △STU are similar, we can compare the ratios of their corresponding sides.
We have:
QR/TU = ?
PR/SU = ?
PQ/ST = 52/13 = ?
To find the missing values, we can use the property of similar triangles that states the corresponding sides of similar triangles are proportional.
Let's find the missing values one by one:
1. QR/TU:
We don't have enough information to determine the value of QR/TU. It is not possible to establish a ratio without additional data or measurements.
2. PR/SU:
Similarly, we cannot determine the value of PR/SU without more information or measurements.
3. PQ/ST:
Given PQ/ST = 52/13, we can simplify the ratio:
PQ/ST = (4*13)/(1*13) = 4/1 = 4.
Therefore, PQ/ST = 4.
Since we were unable to determine the values of QR/TU and PR/SU, we cannot conclude that △PQR and △STU are similar triangles based on the given information.
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a girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec(the height stays constant). how fast she let out the string when 500 ft of string has been let out?
The 20 ft/sec is the timing of the string when 500 ft of string has been let out for the kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec.
Let dd be the real distance among the kite and the female, vv be the vertical distance among the female and the kite, and hh horizontal distance. Since the vertical distance is a constant (v = 300v=300) we understand that:
v^2 + h^2 = d^2 quad Rightarrow quad 300^2 + h^2 = d^2v 2 +h 2 =d 2 ⇒300 2 +h 2 =d 2
wherein dd and hh are capabilities of time tt, this means that that:
2hdfrac = 2ddfrac2h dtdh =2d dtdd
Since the vertical distance is v=300v=300, and the real distance is d = 500d=500, we understand that:
300^2 + h^2 = 500^2 quad h = sqrt = 400300 2 +h 2 =500 2 ⇒h= 500 2 −300 2 =four hundred
We're inquisitive about the price of extrade of the real distance dd so we have:
begin color dfrac &= dfrac cdot h cdot dfrac = dfrac cdot four hundred cdot 25 = color 20 text enddtdd = d1 ⋅h⋅ dtdh = 5001 ⋅four hundred⋅25=20 ft/sec
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Gary makes $7.48 an hour. He grossed $310.42 last week. How many hours did he work?
Answer:
Gary worked 41 and a half hours
Step-by-step explanation:
$310.42 divided by $7.48 per hour = 41.5 hours
The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.
g(3) 2(1 – 4)² + 3
Which statement is true?
OA
The maximum value of fis greater than the maximum value of g.
The minimum value of gis greater than the minimum value of f.
O B.
Ос.
The minimum value of fis greater than the minimum value of g.
OD
The maximum value of g is greater than the maximum value of f.
Answer:
Option (C)
Step-by-step explanation:
Equation of the quadratic function having vertex at (3, 4) and opening upwards,
So the the minimum point of the function is (3, 4).
Therefore, minimum value of the function is 4 at x = 3.
y = (x - h)² + k [Here, (h, k) is the vertex]
g(x) = 2(x - 4)² + 3
Vertex of the parabola is (4, 3).
Since, leading coefficient is positive, parabola will open upwards.
Therefore, vertex will be the minimum point.
Minimum value of the function will be 3 at x = 4.
Minimum value of the function 'f' is greater than the minimum value of the function 'g'.
Option (C) will be the answer.
Answer:
C. The minimum value of f is greater than the minimum value of g.
Step-by-step explanation:
I got a 100% on my test
HELLLPPP THIS IS DUE SOON!!!!!
The expression 1/3a + yb - 2/3b + 1/3a is equivalent to 2/3a + 2b. what is the value of y? Enter your answer as a mixed number, such as 5 4/7.
The value of y as a mixed number is 2 2/3
Expressions and equationsEquations are expressions separated by an equal sign.
Given the following expression:
1/3a + yb - 2/3b + 1/3a = 2/3a + 2bWe are to find the value of b. Making comparison on both sides, we will have:
yb - 2/3b = 2b
b(y - 2/3) = 2b
y - 2/3 = 2
y = 2 + 2/3
y = 8/3
y = 2 2/3
Hence the value of y as a mixed number is 2 2/3
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if tom spins the spinner 80 times work out an estimate for the number of times the spinner will land on 3 please help me
Answer:
The estimated number of times the spinner will land on 3 is 20.
Step-by-step explanation:
The complete question is:
A four-sided spinner is provided. If Tom spins the spinner 80 times then work out an estimate for the number of times the spinner will land on 3.
Solution:
Assume that the four-sided spinner is unbiased.
That is all the four outcomes are equally likely to be selected.
The probability that the spinner lands on any of the four numbers is:
P(1) = P (2) = P (3) = P (4) = 0.25
It is provided that Tom spins the spinner n = 80 times.
The spinner can land on any of the four numbers independently.
The random variable X, defined as the number of times the spinner lands on 3, follows a Binomial distribution with parameters n = 80 and p = 0.25.
The expected value of X is:
\(E(X)=np\)
\(=80\times 0.25\\=20\)
Thus, the estimated number of times the spinner will land on 3 is 20.
What are the possible rational roots of the polynomial equation? 0=3x8+11x5+4x+6
The possible rational roots of the polynomial equation \(0 = 3x^8 + 11x^5 + 4x + 6\) are: \(\pm1, \pm1/3, \pm2, \pm2/3, \pm3, \pm1, \pm6, \pm2.\)
To find the possible rational roots of the polynomial equation \(0 = 3x^8 + 11x^5 + 4x + 6\), we can use the Rational Root Theorem.
The Rational Root Theorem states that any rational root of a polynomial equation in the form \(a_nx^n + a_(n-1)x^{n-1} + ... + a_1x + a_0\) (where the coefficients \(a_n, a_{n-1}, ..., a_1, a_0\) are integers) must be of the form p/q, where p is a factor of the constant term \(a_0\) and q is a factor of the leading coefficient \(a_n\).
In this case, the constant term is 6, and the leading coefficient is 3. Therefore, the possible rational roots of the polynomial equation can be determined by taking the factors of 6 and dividing them by the factors of 3.
The factors of 6 are \(\pm1, \pm2, \pm3, and \pm6.\)
The factors of 3 are \(\pm1\ and\ \pm3.\)
Combining these factors, the possible rational roots of the polynomial equation are:
\(\pm1/1, \pm1/3, \pm2/1, \pm2/3, \pm3/1, \pm3/3, \pm6/1, \pm6/3\)
Simplifying these fractions, we get:
\(\pm1, \pm1/3, \pm2, \pm2/3, \pm3, \pm1, \pm6, \pm2\)
Therefore, the possible rational roots of the polynomial equation \(0 = 3x^8 + 11x^5 + 4x + 6\) are: \(\pm1, \pm1/3, \pm2, \pm2/3, \pm3, \pm1, \pm6, \pm2.\)
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What is the exact value of the trigonometric expression? State your answer in simplified radical form and include all work.
*Please reference included picture for problem. Thank you!
Answer:
The exact value of the given trigonometric expression is undefined.
Step-by-step explanation:
Given trigonometric expression:
\(\dfrac{\cos\left(\dfrac{2 \pi}{3}\right)}{\tan\left(-\dfrac{7 \pi}{4}\right)}+\csc(\pi)\)
To find the exact value of the given trigonometric expression, begin by finding the exact values of each of the trigonometric functions in the expression
The exact value of cos(2π/3) is:
\(\implies \cos\left(\dfrac{2 \pi}{3}\right)=-\dfrac{1}{2}\)
The exact value of tan(-7π/4) is:
\(\implies \tan\left(-\dfrac{7 \pi}{4}\right)=1\)
Since the cosecant function is the reciprocal of the sine function, the exact value of csc(π) is:
\(\implies \csc (\pi)=\dfrac{1}{\sin(\pi)}=\dfrac{1}{0}=\textsf{unde\:\!fined}\)
Therefore:
\(\begin{aligned}\implies \dfrac{\cos\left(\dfrac{2 \pi}{3}\right)}{\tan\left(-\dfrac{7 \pi}{4}\right)}+\csc(\pi)&=\dfrac{-\dfrac{1}{2}}{1}+\dfrac{1}{0}\\&=-\dfrac{1}{2}+\dfrac{1}{0}\\\\&=\textsf{unde\:\!fined}\end{aligned}\)
[PLEASE HELP! DUE IN 3 HOURS!]
In order to help her save money for college, Latasha's grandparents deposited $10,000 into a savings account five years ago. Latasha has not made any withdrawals or deposits since then. The interest rate on the savings account is 3.75% each year.
Using simple interest, how much interest has accrued in Latasha's savings account?
What is the total amount in Latasha's savings account?
Answer:
$11,875
Step-by-step explanation:
3.75×5 = 18.75%
\(\frac{18.75}{100}\)×10000 = 18.75 × 100 = 1875 (we cut the zeros so that it will be easier to solve the equation)
10,000 + 1875 = $11,875 after 5 years
$1875 has accrued in Latasha's savings account
$11,875 is the total amount in Latasha's savings account after 5 years
Rebecca carries a balance on her credit card each month. Today is the first day of the new. 28-day billing cycle. The current balance is x and the APR is 24%.
Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month. Sed she will be
making this purchase on the last day of the month. Part A if her finance charge will be $51 write and solve an equation to determine her current balance on her credit card show your work. Part B How much in finance charges can she save by making the purchase on the last day of the billing cycle
Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.
Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.
How do equations work?
A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.
Equation symbols (=) are used to represent equations.
A finance charge is what?
The interest and other fees levied on credit cards are included in a finance charge.
Typically, the finance charge is based on a stated APR (annual percentage rate).
The month's billing cycle lasts for 28 days.
Balance at current starting = x.
APR = 24%, or annual percentage rate.
The monthly percentage rate (MPR) equals 2% (24% divided by 12).
The final day's purchase cost $1,400.
$51 is the total finance fee for the month.
($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.
$50 ($51 - $1) serves as the initial balance's finance charge.
The starting balance at this time is x = $2,500 ($50 x 2%).
Current Beginning Balance Equation: x = 51 - 1 0.02
($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.
Finance charge savings from buying on the last day equals $27 ($28 - $1).
By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.
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I need help with math
Answer:
6th option in first
then, 1st option
then, 2nd option
then, 4th option
then, 3rd option
and last one is option 5
Step-by-step explanation:
1. 10/9 => 0.9
2. 125/100 => 1.25
3. 3√8 => 2
4. 15/8 => 1.875
5. √19 => 4.358
6. 1.3 × 0=> 0
1.here are some decimal numbers. 5.012 |0.66 | 19.8 | 123.01 | 2.39 | 23.1 write down all numbers that have two decimal places
Answer:
0.66, 2.39
Step-by-step explanation:
two decimal places look like this. Ex: (4.74)
1-tanx/1+tanx=1+sin2x
are you sure about the ques?