find the measure of the segment
I need help with this
Answer: Answer is C
Step-by-step explanation:
Evaluate each expression to four decimal places.
e⁻⁴
The value of the expression e⁻⁴ is 0.0183 to four decimal places.
We are given the expression:
e⁻⁴
We need to evaluate the expression to four decimal places.
Now, we know that the value of e is:
e = 2.71828182846
Now, e⁻⁴ can also be written as:
e⁻⁴ = 1 / e⁴
Substituting the value of e, we get that:
1 / e⁴ = 1 / (2.71828182846)⁴
= 1 / 54.5981500331
= 0.0183156389
Now rounding off to 4 decimal places, we get that:
= 0.0183
Therefore, the value of the expression e⁻⁴ is 0.0183.
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The average distance from earth to the moon is approximately 238,855 miles. which expression is the best estimate of this distance? 2 x 105 3 x 105 2 x 106 3 x 106
2 x 10^5 miles is the correct answer.
A power of ten in mathematics is defined as one of the integer powers of a number multiplied by ten. Integers can be both positive and negative. To find the multiple of ten, we need to add 10 to itself several times (if the power is a positive integer).
if we have a value that says ten ^5,
then this value is equal to:
= 10 x 10 x 10 x 10 x 10
= 10,0000
Also, by the definition of a multiple of ten, the number 1 is a power of 10 as well if we take the 0th power of 10.
10^0 = 1
Whatever the integer is, it is multiplied by 10 n times. So, the long form of a power of 10 is the number 1, followed by n zeros, where the n number is greater than the 0 value.
Here the distance that is given to us is:
238,855
We can also write it as,
2 x 10 ^ 5.
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Find the range of the function y=1/2x+3 when the domian is {-2, 0, 2, 4}
The range of the function y=1/2x+3 when the domain is {-2, 0, 2, 4} is {-1 , 0.33 , 0.14 , 0.090}
The set of all attainable values that qualify as inputs to a operate thought because the domain of the operate, or it may also be outlined because the entire set of values attainable for freelance variables.The domain is outlined because the entire set of values attainable for freelance variables.The vary is found when work the attainable x- values to search out the y-values.The domain of a operate is that the set of values that we have a tendency to are allowed to plug into our operate. This set is that the x values in a very operate like f(x). The vary of a operate is that the set of values that the operate assumes. This set is that the worth that the operate shoots out when we have a tendency to plug Associate in Nursing x value in.We have given a function y = 1/2x+3 .....(1) and domain {-2, 0, 2, 4} .
In order to find the range putting x = -2 in equation (1) , we get
y=1/(2(-2)+3
y=1/-4+3
y=1/-1
y = -1
Putting x = 0 in equation (1) , we get
y=1/2(0)+3
y=1/0+3
y=1/3
y = 0.33
Putting x = 2 in equation (1) , we get
y=1/2(2)+3
y=1/4+3
y = 1 / 7
y = 0.14
Putting x = 4 in equation (1) , we get
y=1/2(4)+3
y=1/8+3
y= 1 / 11
y = 0.090
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a) In a field
number of cows: number of sheep = 12:5
Which two of the following statements must be correct about
the sheep and cows in the field?
A there are exactly 5 sheep
B there are more than twice as many cows as there are sheep
C the number of cows is a multiple of 12
D there are 7 more cows than sheep
Since the ratio is 12 : 5, the statement which is true is there are more than twice as many cows as there are sheep.
The ratio between the number of cows to number of sheep in a field is given as:
12 : 5
Now,
let the number of sheep be 5 x.
So, the number of cows will be 12 x.
So, we get that:
12 x > 2 ( 5 x)
12 x > 10 x
So, the statement which is true will be:
there are more than twice as many cows as there are sheep
Therefore, since the ratio is 12 : 5, the statement which is true is there are more than twice as many cows as there are sheep.
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I need to find the mean of 6, -12, 24, -48
Answer:
-7.5
Step-by-step explanation:
[tex]\frac{6 + (-12) + 24 + (-48)}{4} =\frac{-30}{4} =-7.5[/tex]
14. -9√24 + 2√600 what is this in simplest form?
Answer:
2√6(Decimal: 4.898979)
Step-by-step explanation:
−9√24+2√600
=2√6(Decimal: 4.898979)
What is 4,550 divided by 64 as a decimal?
Based on the given task content, the division of 4,550 by 64 is approximately 71.09 to two decimal places.
The division of whole numbers to give decimal4,550 divided by 64
The divisor which is a number or expression that another number divides is 4,550
The dividend which is the number or the expression which is used to divide another is 64
The quotient here simply refers to the result which is obtained by dividing one number by another.
4,550 divided by 64
= 4,550 / 64
= 71.09375
This result above can be correctly approximated to two decimal places, that is, two values after the decimal point.
Approximately,
71.09375
= 71.09
What are decimal numbers?This is a number expressed in the decimal system (base 10), particularly fractional numbers.
For instance, in the illustration below:
13¼ = 13.25 as a decimal number.
So therefore, the division of 4,550 by 64 is approximately 71.09 to two decimal places.
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8.547 to the nearest whole number
Answer: 9
Step-by-step explanation:
Solve the following system of equations. Show all work and solutions.
y = 2x- + 6x + 4
y = -4x- + 4
The system of the equation has x = 0.
The two equations are,
y = 2x + 6x + 4
y = -4x + 4
Now equating the equation, we have
2x + 6x + 4 = -4x + 4
8x + 4 = -4x + 4
12x = 0
x = 0
Therefore the system of the equation has x = 0.
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Simplify the expression. Write your answers using integers or improper fractions.
− 3/2(− 3/2 q+ 5/3)+8q
Answer:
[tex] \sf \: \frac{41}{4} q + \frac{ - 5}{2} [/tex]
Step-by-step explanation:
Let's simplify step-by-step.
−3/2(−3/2q+5/3)+8q
Distribute:
=(−3/2)(−3/2q)+(−3/2)(5/3)+8q
=9/4q+−5/2+8q
Combine Like Terms:
=9/4q+−5/2+8q
=(9/4q+8q)+(−5/2)
=41/4q+−5/2
which anwer choice correctly represents the quoinet of 28, 134, devided by 71
The answer choice that correctly represents the quotient of 28134 divided by 71 is 28134/71
How to determine the answer choice that correctly represents the quotient of 28134 divided by 71The quotient statement is given as
28134 divided by 71
In mathematics, quotient is represented by division using the symbol /
i.e. the quotient of a and b is a/b
Using the above as a guide, we have the following quotient expression
28134/71
Hence. the answer choice that correctly represents the quotient of 28134 divided by 71 is 28134/71
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A scientist grows a species of bacteria in a petri dish. Explain why there is a linear correlation coefficient of 0.1 in the plot of Number of Bacteria versus Time.
A. The bacteria have grown at a steady rate and a line fits the data very well.
B. The bacteria have grown at an exponential rate and a line poorly fits the data.
C. The bacteria have grown at an exponential rate and the line fits the data very well.
D. There is a strong negative correlation between number of bacteria and time.
Based on the fact that the correlation coefficient was 0.1 in the plot of Bacteria versus Time, the reason is B. The bacteria have grown at an exponential rate and a line poorly fits the data.
What is the correlation coefficient?The correlation coefficient shows the relationship between two variables. It is between -1 and 1 and figures closer to 0 denote a weak correlation.
In this instance, Bacteria is known to increase exponentially which means that a linear regression model would make a line that poorly fits the data. This would lead to a low correlation coefficient when it should instead be high.
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The warehouse can purchase 10 pairs of sandals for 126.50 dollars and will get one free pair. What is the cost rate
Answer:
12.65:1
Step-by-step explanation:
The cost per one pair of sandal is 12.65 dollars.
Hopefully this helped have a great day :D
A woman sold an article for $200,000 and made a profit of 25%. Find the cost price of the article.
Answer:
The original cost is 160,000
Step-by-step explanation:
X x 25/100 + X = 200,000
25X/100 + X =200,000
X= 200,000-25X/100
X= (20,000,000-25X) / 100
100X = 20,000,000-25X
125X = 20,000,000
X = 160000
Use the Change of Base Formula. What is the value of each expression?
a. log₈32
The value of the expression log₈32 by using the change of base formula is 1.67.
Given that the expression is log₈32.
We are required to find the value of the expression using change of base formula.
The change of base formula is basically used at a time when we have to re-write a logarithm operation as a fraction of logarithms with a new base to find the value of the logarithm.
The result given by it is [tex]log_{a}b[/tex]=log b/log a.
The expression is log₈32.
log₈32=log 32/log 8
=log [tex]2^{5}[/tex]/ log [tex]2^{3}[/tex]
=5log 2/3log 2
=5/3
=1.67
Hence we can say that the value of the expression log₈32 by using the change of base formula is equal to 1.67.
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For the following problem, match the name of the number property that was used to get to each step from the previous step.
37 • 2 • (-5 + + 5)
1. 37 • 2 • (-5 + 5 + )
inverse property of multiplication
2. 37 • 2 • (0 + )
inverse property of addition
3. 37 • 2 •
commutative property
4. 37 • 1
identity property of multiplication
5. 37
identity property of addition
37 • 2 • (0 + 1/2 ) - Inverse property of addition
37 • 2 • 1/2 - Commutative property of addition
37 • 1 - Inverse property of multiplication.
37 - Identity property of multiplication.
What is an algebraic equation?Algebraic expressions include at least one variable and at least one operation addition, subtraction, multiplication or division.
We have,
37 • 2 • (-5+ 5+ 1/2)
= 37 • 2 • (0 + 1/2 ) -Inverse property of addition
The inverse property of addition states that:
a + (-a ) = 0 where a ∈ R
= 37 • 2 • 1/2 - Commutative property/Identity property of addition
The commutative property of real numbers states that:
a + b = b + a where a,b ∈ R
= 37 • 1 - Inverse property of multiplication.
The inverse property of real numbers states that:
a + 1/a = 1 where a ∈ R
= 37 - Identity property of multiplication.
The identity property of multiplication of real numbers states that:
a x 1 = a where a ∈ R
Thus,
37 • 2 • (0 + 1/2 ) - Inverse property of addition
37 • 2 • 1/2 - Commutative property of addition
37 • 1 - Inverse property of multiplication.
37 - Identity property of multiplication.
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The complete question is:
For the following problem, match the name of the number property that was used to get to each step from the previous step.
37 • 2 • (-5+ 5+ 1/2)
37 • 2 • (0 + 1/2 )
37 • 2 • 1/2
37 • 1
37
identity property of addition
commutative property
inverse property of multiplication
inverse property of addition
identity property of multiplication
PLEASE HELP WILL GIVE 100 POINTS
Answer:
Step-by-step explanation:
The answer for this one would be Angles ABC and CDA are congruent according to the property parallelograms (opposite angles congruent). The shape is a parallelogram and that's why that answer would make sense and the opposite angles is another way to prove it's congruent!
Hope this helped!
:D
Answer:
ABC and CDA are congruent according to the system/property of parallelograms(Opposite angles congruent(A.K.A option B)).
Step-by-step explanation:
CDA and ABC are opposite angles that are equal in measure, and equal in length, which directly follows this property. Thus, they are congruent.
Find the product. Simplify your answer. 8( – 3v2+2)
The total cost (t) after 8% sales tax is added to an Items price (p): 1.08p=t
It should be noted that the total cost (t) after 8% sales tax is added to an Items price (p): 1.08p. This is true.
How to illustrate the information?It should be noted that tax simply has to do with the compulsory levy that's paid by the individuals and firms to the government.
It should be noted that from the information, the total cost (t) after 8% sales tax is added to an Items price (p): 1.08p. This will be confirmed this:
Price = p
Tax = 8%
New price = Price + Tax
New price = p + (8% × p)
New price = p + 0.08p.
New price = 1.08p
Therefore, it should be noted that the total cost (t) after 8% sales tax is added to an Items price (p): 1.08p. This is true.
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The total cost (t) after 8% sales tax is added to an Items price (p): 1.08p. True or false?
Addison's Pizzeria made 12 thin-crust pizzas and 2 thick-crust pizzas. What is the ratio of the number of thin-crust pizzas to the number of thick-crust pizzas?
What goes in with the 2? __ : 2
Answer:
12 is the fill in
Step-by-step explanation:
Estimate the product of 2,456 x 38 by rounding to the nearest thousand and ten.
Answer:93000
Step-by-step explanation:
11,408 DIVIDED BY 9,617
PLEASE USE LONG DIVISION
THE PERSON WHO USES LONG DIVISION GET BRAINLIEST AND 10 POINTS
Answer:
0.834 is the correct answer
factor out the negative sign with the GCF
-4x^3 + 28x^2 - 20x
Answer:
Step-by-step explanation:
-4x^3 + 28x^2 - 20x
= 4x(-x^2 + 7x - 4)
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 40 minutes and a standard deviation of 4 minutes. what percentage of customers have to wait longer than 49 minutes, to the nearest tenth?
Solving for the probability using the z-table, the percentage of customers that have to wait longer than 49 minutes is 1.2 %.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 49
μ = mean = 40
σ = standard deviation = 4
z-score = (49 - 40) / 4
z-score = (9) / 4
z-score = 2.25
Find the probability that corresponds to the z-score in the z-table. (see attached images)
x = (0.9861 + 0.9893)/2
x = 1.9754/2
x = 0.9877
Subtract it from 1 and multiply by 100 to get the percentage.
% = (1 - 0.9877) x 100
% = 0.0123 x 100
% = 1.23%
% = 1.2 %
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Verify -4 x (5+1) = (-4 x 5) + (-4 x 1)
Simplification: -4 x (5+1) = (-4 x 5) + (-4 x 1)
Take LHS,
-4 x (5+1) = -4x6
= -24
Take RHS,
(-4 x 5) + (-4 x 1) = -20 + (-4)
= -20-4
= -24
LHS= RHS
Hence -4 x (5+1) = (-4 x 5) + (-4 x 1) this equation is verified.
The fundamental guidelines and procedures to simplify any algebraic statement are as follows: By multiplying factors, remove any grouping symbols like brackets and parenthesis. If the words contain exponents, use the exponent rule to eliminate grouping. Add or remove like words to combine them.
Start by resolving all of the terms included in parenthesis to simplify mathematical equations using the order of operations. The exponents should then be solved, followed by any necessary multiplication. Division problems are next, followed by adding and subtracting to wrap things out.
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The product of the binomial (3x+2) with the binomial (2x-1) can be written equivalently a
as
(1) 5x+1
(2) 6x-3
(3) 6x²+x-2
(4) 6x²-2
Answer:
Step-by-step explanation:
its 1
I need help i dont under stand any of this
Answer:
The equation of a line in slope intercept form is
y=mx+c
in integers form y=2x+3
what is the length of the segment ĀB
The length of line segment AB shown in the line graph is is 2 units
With the given line graph it is very obvious that the line segment AB has two point A and B with -4 and -2 as their value
To measure the length we need to subtract the x coordinate of one end point from the another end point
here we will deduct the x coordinate of b point from the x coordinate of A point which is shown below
- 4 - (-2)
and using the simple integer properties we can solve this problem of line graph
- 4 + 2
which comes out to be 2
hence, the length of line segment AB shown in the line graph is is 2 units
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