Answer:
44
Step-by-step explanation:
\(\frac{x}{77} =\frac{32}{56}\\\\x = \frac{32}{56}*77 = \frac{4}{7}*77 = 4 *11\)
x = 44
Country A has an exponential growth rate of 4.6% per year. The population is currently 5,849,000, and the land area of Country A is 38,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
Answer:
195.205998 years
Step-by-step explanation:
P=P0(1.046)^t P=future population P0=initial population t=years passed
38,000,000,000 = 5,849,000(1.046)^t
1.046^t = 38,000,000,000/5,849,000
1.046^t = 38,000,000/5,849
plug in log on both sides
log 1.046^t = log (38,000,000/5,849)
t[log 1.046] = log (38,000,000/5,849)
t = In (38,000,000/5,849)/ In 1.046
t ≈ 195.205998 (hope this helps)
Light travels at a speed of about 1.9 times 10E6 miles per second. Suppose a spaceship is able to travel at the speed of light. If the distance around Earth along the equator is about 2.5 times 10E5 miles, how many times could the spaceship travel around the Earth in 1 second? Round to the nearest tenth if necessary.
A college job placement center has requests from five students for employment interviews. Three of these students are math majors, and the other two students are statistics majors. Unfortunately, the interviewer has time to talk to only two of the students. These two will be randomly selected from among the five. What is the sample space for the chance experiment of selecting two students at random
Answer:
Step-by-step explanation:
The following is the information provided
number of students is 5
The number of math major = 3
The number of statistic major = 2
Label math students as A, B, C
And statistic students as D, E
The total number of ways to select two students from 5 students is 10
The sample space is S = {AB,AC,BC,AD,AE,BD,BE,CD,CE,DE}
Yes , in the sample space the events are equally alike
What is the probability that both selected students are statistics majors
The selected students of statistic major are DE
the probability that both selected students are statistics majors is \(\frac{1}{10}\)
= 1/10
What is the probability that both students are math majors
The selected students of statistic major are AC,AB,BC
the probability that both selected students are math majors is \(\frac{3}{10}\)
= 3/10
What is the probability that at least one of the students selected is a statistics major
Number of ways to select at least one of the students selected is a statistic major is {AD,AE,BD,BE,CD,CE,DE}
the probability that at least one of the students selected is a statistics major is \(\frac{7}{10}\)
7/10
What is the probability that the selected students have different majors
Number of ways to select students with different major is {AD,AE,BD,BE,CD,CE,}
the probability that the selected students have different majors is \(\frac{6}{10}\)
6/10
can someone help me with these two questions? Thank you!!
Answer:
13. 3/2
14. 2/3
Step-by-step explanation:
Since they are similar, you can match
AB = DE
BC = EF
AC = DF
8 = 12
10 = 15
12 = 18
A ratio is a fraction. Since it says DEF to ABC, that means
\( \frac{def}{abc} \)
So all we need to do is take one number from def and the number it's equal to from abc. let's do 15
Since 15 is associated with 10
\( \frac{15}{10} \)
If we simplify
\( \frac{15}{10} = \frac{3}{2} \)
The second one says ABC to DEF.
All they did was switch the triangles around, so all we have to do is switch the numbers around. making it...
\( \frac{2}{3} \)
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
Interpreting Function Graphs Digital Matching Activity
Answer:
whats the question
Step-by-step explanation:
what is 12345678-(6533+1423)-657=
Help asap! Am=6 MB=4 AN=8
Answer:
AC = 13.3
Make proportional relationship:
\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)
Insert values
\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)
Cross multiply
\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)
Simplify
\(\rightarrow \text{AC}=13.3\)
At the end of every month, Michael deposits $70 into his savings account. After 11 months, Michael's account had a total of $1250. Which of these equations expresses the amount y Michael has in his savings account after x months?
Answers:
y=70x
y−11=70(x−1250)
y−1250=70(x−11)
y=70x+1250
Answer:
the first one makes the most sense
Step-by-step explanation:
the others would equal to much but the first one would not
s: There are 347 sixth grade students.They are going on a class trip to bush Gardens
. Each bus holds 32 students How many buses are needed? Will all the seats
be filled? If not, how many will Empty.
Answer: They would need 11 buses, and no, the seats will not be completely filled and five seats would be empty,
Step-by-step explanation:
Sorry if this didn’t help as much
a bowl of grapes has a total mass of 265 grams. The bowl has a mass 121 grams
Answer:
144 grams
Step-by-step explanation:
Im assuming you want to mass of grapes, do total mass subtracted by the mass of the bowl
If a picture measures 3 inches by 5 inches and it is dilated by a scale factor of 4, the new dimensions will be ________________________________________.
A. 12 inches by 20 inches
B. 15 inches by 15 inches
C. 7 inches by 9 inches
D. 0.75 inches by 1.25 inches
Answer:
A) 12 inches by 20 inches
Step-by-step explanation:
Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.
Therefore 3 inches x 4 = 12 inches
And 5 inches x 4 = 20
related information for 30 employees at Gamma Technologies, Inc. These data include each selected employee’s gender (0 = male, 1 = female), age, number of years of relevant work experience prior to employment at Gamma, number of years of employment at Gamma, the number of years of post-secondary education, and annual salary. Create a scatter plot to show the relationship between prior experience and annual salary. What does the scatter plot reveal about the relationship?
Answer:
Kindly check attached picture
Step-by-step explanation:
Data:
Prior experience :
5
12
0
2
5
9
6
11
12
0
5
9
1
0
5
3
12
3
11
10
8
1
0
6
7
0
8
13
7
0
Annual salary:
37500
50912
29356
27750
97844
48442
40207
42331
87489
26118
40025
88763
35829
17784
54199
36932
93279
22100
49987
85471
52220
36109
23105
39455
49861
30327
31008
90874
57966
16500
Using the data above, the scatter plot obyaoon using statistical software is attached below, from the line of best fit, the regression equation which models the relationship between the two variables is ŷ = 4003.257X + 25172.868.
The trend of the best fit line shows a positive correlation between prior experience and annual salary. The correlation Coefficient value which shows the strength of the association gives a value of 0.7225 ; hence, depicting a strong positive correlation.
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
Evaluate log4 exponent 0.5
We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
Using the following property of logarithms:
\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)
Therefore,
\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)
So, \(log4 (0.5^(1/2)) =-0.0752\)
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Please answer the attached question
The 5th term of the arithmetic series is 1179/ 19.
How to solve an arithmetic series?The 10th term of the arithmetic series , S is 66.
Using arithmetic formula,
aₙ = a + (n - 1)d
where
n = number of termsd = common differencea = first termTherefore,
66 = a + 9d
The sum of the first 20 terms of S is 1290.
Therefore,
Sₙ = n / 2 (2a + (n - 1)d)
1290 = 10(2a + 19d)
1290 = 20a + 190d
combine the equation
66 = a + 9d
1290 = 20a + 190d
Hence,
a = 66 - 9d
1290 = 20(66 - 9d) + 190d
1290 = 1320 - 180 + 190d
1290 - 1320 + 180 = 190d
190d = 150
d = 150 / 190
d = 15 / 19
Hence,
a = 66 - 9(15 /19)
a = 66 - 135 / 19
a = 1254 - 135/ 19
a = 1119 / 19
Hence, let's find the fifth term.
a₅ = a + 4d
a₅ = 1119 / 19 + 4(15 / 19)
a₅ = 1119 / 19 + 60 / 19
Therefore,
a₅ = 1179/ 19
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Urn 1 contains 3 blue tokens and 2 red tokens; urn 2 contains 2 blue tokens and 4 red tokens. All tokens are indistinguishable. You roll a die to determine which urn to choose: if you roll a 1 or 2 you choose urn 1; if you roll a 3, 4, 5, or 6 you choose urn 2. Once the urn is chosen, you draw out two tokens at random from that urn (no replacement). How many possible outcomes are possible
Answer:
RR = 0.4
RB = 0.3
BB = 0.22
BR = 0.30
Step-by-step explanation:
P( Urn 1 ) = 2/6 = 1/3
P( Urn 2 ) = 1 - 1/3 = 2/3
Urn 1 contains : 3 blue and 2 red
P( blue | urn 1 ) = 3/5 ( with replacement ) , P( blue | urn 1 ) = 3/4 ( without replacement )
P( red | urn 1 ) = 2 / 5 ( with replacement ) , P(red | urn 1 ) = 1/2 ( without replacement )
Urn 2 contains : 2 blue and 4 red
P ( blue | urn 2 ) = 1/3 ( with replacement ) , P( blue | urn 2 ) = 2/5 ( without replacement )
P ( red | urn 2 ) = 2/3 ( with replacement) , P( red | urn 2 ) = 4/5 ( without replacement )
Determine
i) Possible outcomes when two tokens are drawn from either Urn without replacement
RR = [[ ( 2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] = 0.4
RB = [[ (2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.3
BB = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.22
BR = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] ≈ 0.30
During one particular sales day, 75% of the store's customers paid with credit cards. If there were 60 customers that day, how many used a credit card? A. 15 B. 30 C. 45 D. 50 HINT Method 1: Set up a proportion and cross multiply. Method 2: Convert the
45 people used credit card on that particular day , this could be found out using simplified multiplication.
What is proportion?
A quantitative relation is an ordered try of numbers a and b, written a / b wherever b doesn't equal zero.
A proportion is Associate in Nursing equation within which 2 ratios ar set up to one another.
Main body:
We have been given that during one particular sales day, 75% of the store's customers paid with credit cards. There were 60 customers that day.
To find the number of people, who used credit card, we will find 75% of 60.
The number of people who used credit card = (75 / 100 )* 60
The number of people who used credit card = 0.75 *60
The number of people who used credit card = 45
Therefore, 45 people used credit card on that particular day.
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Jalice is an artist who makes paintings with basic shapes. She
wants to create a painting that has a total of 19 shapes, all
squares and triangles. She also wants the painting to have 11
more squares than triangles.
--Please help, ill give 30 points and brainiest if your correct!!--
Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the results of their spin. The table lists how much a player receives or pays for various spins. What color has the greatest amount?
Red
Pays $5
Blue
Receive $4
Yellow
Pay $1
Green
Receive $3
Orange
Pay $2
Answer:
The amount in table as positive negative numbers: -5, 4, -1, 3, -2.
The spinner lands on red the change to Lisa's amount of money is -$5.
Step-by-step explanation:
Consider the provided table.
Part(A)
The table list how much a player receives or pays for various.
Paying some money is represented by a negative sign while receiving money is represented by a positive sign.
For red they needs to pay $5 which can be written as -5.
For blue they received $4 which can be written as 4.
For yellow they needs to pay $1 which can be written as -1.
For green they received $3 which can be written as 3.
For orange they needs to pay $2 which can be written as -2.
So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.
Part(B)
Now, we need to describe the change to Lisa’s amount of money when the spinner lands on red.
If spinner lands on red then she needs to pay $5.
Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.
What must be true about the average rate of change between any two points on the graph of an increasing function?
Answer:
If a function is increasing, the average rate of change between any 2 points must be positive.
If we have an increasing function, the average rate of change between any two points must always be positive.
What must be true about the average rate of change?
For an increasing function f(x), we have that if:
b > a
Then:
f(b) > f(a).
Now, we define the average rate of change on an interval (a, b) as:
\(R = \frac{f(b) - f(a)}{b - a}\)
In this case, because:
b > a
f(b) > f(a)
Then:
b - a > 0
f(b) - f(a) > 0.
So both numerator and denominator are positive, which implies that the quotient must be positive.
Then, if we have an increasing function, the average rate of change between any two points must always be positive.
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Please help, I don't understand this.
Answer:
-0.3
Step-by-step explanation:
just sum -0.66x and 0.36x
Answer: -21
Step-by-step explanation:
To begin, we can combine like terms, -0.66 and 0.36 are coefficients with the same variable.
This gives us -0.66x+0.36x= -0.30x, and the equation becomes -0.30x=6.3.
Next, we can simply solve for x by dividing 6.3 by -0.30, and that gives us x=-21.
In which year will 67% of babies be born out of wedlock?
Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .
What year will 67% of babies be born to unmarried parents?In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.
If the trend continues, the number of years till 67% of children born out of wedlock will be:
= (67% - 28%) / 0.6%
= 65 years
The year will be:
= 1990 + 65
= 2055
The first part of the question is:
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.
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can you please help me with this
Sathish will be going to pay a total of $64.8 for the gas.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
The First 150 and last 150 km will cover by Satish only
Since 6 liters covers 100 km
So,
Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6
Now,
The journey 2100 - 300 = 1800 km has been covered by all three
Split 1800/3 = 600 km of money Satish will pay
So,
Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2
Total paid = 21.6 + 43.2 = 64.8.
Hence "Satis will be going to pay a total of $64.8 for the gas".
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a triangular pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square centimeters. find its slant height.
PLEASE ANSWER ASAP
Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.
A rectangle has a width of 48 centimeters and a perimeter of 206 centimeters. What is the rectangles length
Answer:
the answer is the rectangle is 48 by 55 centimeters
Step-by-step explanation:
what do expressions (3^3) and (3^4) have in common?
Answer:
they are both 3 with different powers
Step-by-step explanation:
What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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Solve for b
(PLZ HELP ASAP!!)
Answer:
b = 39
Step-by-step explanation:
The sum of the angles in a triangle are 180 degrees
b+ 2b+ b+24 = 180
Combine like terms
4b +24 =180
Subtract 24 from each side
4b+24-24 =180-24
4b = 156
Divide each side by 4
4b/4 =156/4
b =39
Answer:
\( b = 39 \: \: degrees \\ \)
Step-by-step explanation:
Sum of the angles in a triangle is 180 degrees.
\(b + 2b + b + 24 = 180 \\ 4b + 24 = 180 \\ 4b = 180 - 24 \\ 4b =1 56 \\ \frac{4b}{4} = \frac{156}{4} \\ b = 39 \: \: degrees\)
hope this helps
brainliest appreciated
good luck! have a nice day!
How many centigrams are in 1 gram? Use the metric table to help answer the question.
Answer:
100 cg
Step-by-step explanation:
Answer:
100 centigrams
Step-by-step explanation: