Answer:
4.181
Step-by-step explanation:
1/3 (3.2×1.4) 2.8
1/3 ( 4.48) 2.8
1/3 (4.48 × 2.8)
1/3 × 12.544
= 4.181
Select all the equations that are equivalent
Answer:
52=8n +4
4=52-8n
are equivalent
Answer:
a, b, c, e
Step-by-step explanation:
4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.
4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.
4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.
n = 6 is the solution to the equation so it is equivalent.
The Williams family purchased 15 cheeseburgers for 75$ how did one cheeseburger cost?
Answer:
O.5 cents each
Step-by-step explanation
You have to multiply 75 by 0.15
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in
your answer.
00
alyd
yd
yde
yoo
3yd
х
3
?
2yd
4yd
2yd
A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall is the flagpole
Answer:
45/22
Step-by-step explanation:
Consider the series 7/9+7/27+7/81+1/243 Which expression defines Sn?
Answer:
It’s d
Step-by-step explanation:
The sum of the series is given by option D.
What is a Geometric Series?A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.
The series is
7/9+7/27+7/81+1/243 +.................
The common ratio is
(7/27) / (7/9) = 1/3
r < 1
The sum of the geometric series when r < 1 is given by
Sn = a ( 1-rⁿ)
Sn = [tex]\rm \lim_{n \to \infty}[/tex] (7/9) ( 1- (1/3)ⁿ)
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The ages of job applicants for a security guard position are uniformly distributed between 25 and 65. Could a 25-year-old job applicant be two standard deviations below the mean (or more than two standard deviations)?
Answer:
No, a 25-year-old job applicant cannot be two standard deviations below the mean
Step-by-step explanation:
There are two frequencies 25 and 65
Mean of the two frequencies = 25+65/2 = 45
Standard deviation =
[tex]\frac{65-25}{\sqrt{12} } \\= 11.55[/tex]
Mean - 2 x standard deviation [tex]= 45 - 2 * 11.55 = 21.9[/tex]
[tex]21.9 < 25[/tex]
Thus, a 25-year-old job applicant cannot be two standard deviations below the mean
Angle x and 56 are complementary. What is the value of x?
149
34
56
90
Answer:
34°
Step-by-step explanation:
90-56=34°
__________
Simplify (-32) divided by (-4)
Answer:
[tex] \frac{8}{1} [/tex]
Step-by-step explanation:
[tex] \frac{ - 32}{ - 4} [/tex]
Reduce factor by 4
[tex] \frac{ - 8}{ - 1} [/tex]
A negative divided by a negative equal positve so
[tex] \frac{8}{1} [/tex]
the simplest form of 32/4 is 8/1
find the GCD ( or HCF) of numerator and denominator GCD of 32 4 is 4
divide both the numerator and denominator GCD
32/4 ÷ 4/4
reduce fraction: 8/1
therefore, 32/4 simplify to lowest terms is 8/1.
!!!!!!Please help ASAP!!!!!
AB and BC form a right angle at their point of intersection, B. If the coordinates of A and Bare (14, -1) and (2, 1), respectively, the y-intercept of AB is 4/3 and the equation of BC is y= 6 X + If the y-coordinate of point Cis 13, its x-coordinate is
Answer:
Step-by-step explanation:
Segments AB and BC intersect each other at 90° at B.
Let the equation of the segment AB → y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line AB passing through A(14, -1) and B(2, 1)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1+1}{2-14}[/tex]
= [tex]-\frac{2}{12}[/tex]
= [tex]-\frac{1}{6}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{6}(x)+b[/tex]
Since, AB passes through (2, 1)
[tex]1=-\frac{1}{6}(2)+b[/tex]
[tex]b=1+\frac{1}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
Therefore, y-intercept of AB = [tex]\frac{4}{3}[/tex]
Equation of AB → [tex]y=-\frac{1}{6}(x)+\frac{4}{3}[/tex]
Since, line BC is perpendicular to AB,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
Here, [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of line AB and BC respectively.
By this property,
[tex]-\frac{1}{6}\times m_2=-1[/tex]
[tex]m_2=6[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is,
(y - k) = m(x - h)
Therefore, equation of line BC passing through B(2, 1) and slope = 6,
y - 1 = 6(x - 2)
y = 6x - 11
Since, line BC passes through C(x, 13),
13 = 6x - 11
6x = 24
x = 4
Therefore, x-coordinate of point C will be, x = 4
A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out what the height of the tree was in 2020.
Answer:
The height of the tree in 2020 was of 19.63 feet.
Step-by-step explanation:
Exponential equation for growth:
The exponential equation for the growth of an amount has the following format:
[tex]H(t) = H(0)(1+r)^t[/tex]
In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.
A 4 foot tree was planted in 2012 outside a high school.
This means that [tex]H(0) = 4[/tex]
The tree grew continuously by 22% each year from that point.
This means that [tex]r = 0.22[/tex]
Find out what the height of the tree was in 2020.
2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).
[tex]H(t) = H(0)(1+r)^t[/tex]
[tex]H(t) = 4(1+0.22)^t[/tex]
[tex]H(4) = 4(1.22)^t[/tex]
[tex]H(4) = 4(1.22)^8 = 19.63[/tex]
The height of the tree in 2020 was of 19.63 feet.
Write each expression using a single exponent.
H^14 over h^5
A. h-9
B. one over h to the ninth
C. h19
D. h9
Answer:
h^9
Step-by-step explanation:
When divided you subtract exponents 14-5=9
The expression using a single exponent is (d) h^9
Writing the expression using a single exponent.From the question, we have the following parameters that can be used in our computation:
h^14 over h^5
This means that
h^14/h^5
Apply the law of indices
So, we have
h^14/h^5 = h^(14 - 5)
This gives
h^14/h^5 = h^9
Hence, the solution is (d) h^9
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A property has been assessed at $225 000. The mill rate is 14.5. To find the property tax, you would multiply the mill rate by: *
a) 0.10
b) 0.001
c) 0.01
d) 0.0001
To find the property tax, you would multiply the mill rate by 0.01
To find the property tax, you would multiply the assessed value of the property by the mill rate.
Given that the assessed value is $225,000 and the mill rate is 14.5, we need to multiply these two values to calculate the property tax.
Property Tax = Assessed Value × Mill Rate
Property Tax = $225,000 × 14.5
To simplify the calculation, we can convert the mill rate to a decimal by dividing it by 1,000.
Mill Rate = 14.5 ÷ 1000 = 0.0145
Property Tax = $225,000 × 0.0145
Property Tax = $3,262.50
Therefore, to find the property tax, you would multiply the mill rate by 0.01 (option c).
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Karen, Janet, Brian, and José ran for class president.
José received 35% of the vote and Janet received 24%.
What percentages could Brian and Karen have received?
NO LINKS !!!
A. 45% and 26%
B. 25% and 16%
C. 30% and 21%
D. 35% and 36%
2h + 10 = 20 solve the value for h
Answer:
Step-by-step explanation:
First you solve for a: a=(10-2h)/7 which you then plug into "a": (10-2h)/7=10-2h\
The ordered pairs (12, 32). (x, 40), (18,48), (21, y) represent a proportional
relationship. Find the values of x and y. Select the two correct answers.
Answer:
x= 17
y=62
Step-by-step explanation:
What is the slope of the following equation?
y = -3x +7
A. -3
B. 7
C. X
D. -7
Answer: A. -3
Step-by-step explanation: The slope is the coefficent of x, this can be read as -3/1, down 3 over 1.
HELP ME PLEASE, I can't figure out this puzzle :(
The length of life of oil-drilling bits depends upon the types of rock and soil that the drill encounters, but it is estimated that the mean length of life is 55 hours. An oil exploration company purchases drill bits that have a length of life that is approximately normally distributed with mean equal to 55 hours and standard deviation equal to 9.1 hours.
What proportion of the company’s drill bits will have to be replaced after more than 90 hours of use?
Answer:
"0.9999" is the correct solution.
Step-by-step explanation:
The given values in the question are:
Mean,
= 55
Standard deviation,
= 9.1
Now,
⇒ [tex]z=\frac{X-mean}{sd}[/tex]
By putting the values, we get
⇒ [tex]=\frac{90-55}{9.1}[/tex]
⇒ [tex]=\frac{35}{9.1}[/tex]
⇒ [tex]=3.8461[/tex]
hence,
[tex]P(X<90)[/tex]
= [tex]P(Z<3.8461)[/tex]
= [tex]NORMSDIST(3.8461)[/tex]
then the value will be:
= [tex]0.9999[/tex]
I need this in 1 min
Answer: 12
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Opps I'm sorry I did that wrong. Im so sorry
Laetisaric acid is a compound that holds promise for control of fungus disease in crop plants. The accompanying data show the results of growing the fungus Pythium ultimum in various concentrations of laetisaric acid. Each growth value is the average of four radial measurements of P. ultimum colony grown in a petri dish for 24 hours; there were two petri dishes at each concentration.
Laetisaric acid X | Fungus Growth Y
0 | 33.3
0 | 31.0
3 | 29.8
3 | 27.8
6 | 28.0
6 | 29.0
10 | 25.5
10 | 23.8
20 | 18.3
20 | 15.5
30 | 11.7
30 | 10.0
Mean
11.500 | 23.642
sd
10.884 | 7.8471
v. State the slope and interpret its meaning in context.
vi. SS(resid)=16.7812. Use this to compute se.
vii. Show what needs to be calculated for a 95% prediction interval for x = 20. (fill in all the values in the equation but do not evaluate.)
r = - 0.98754
Answer:
Slope = - 0.7120
SE = 1.295
Step-by-step explanation:
Given the data:
0 | 33.3
0 | 31.0
3 | 29.8
3 | 27.8
6 | 28.0
6 | 29.0
10 | 25.5
10 | 23.8
20 | 18.3
20 | 15.5
30 | 11.7
Using the relation to Obtian the slope :
Slope, b = r(Sy/Sx)
r = correlation Coefficient ; Sy = standard deviation of Y - values ; Sx = standard deviation of X-values
r = - 0.98754
Slope, b = - 0.98754(7.8471 / 10.884) = - 0.7120
SE = √SSresidual / df
df = n - 2 = 12 - 2 = 10
SSresidual = 16.7812
SE = √(16.7812/ 10)
SE = 1.295
Simplify 5 (x + 2) + 2 (x - 5)
Answer: 7x let me know if you need an explantion.
A factory produced 150 tons
Answer:
Nice
Step-by-step explanation:
but tons of wut'
Which graph below shows a system of equations with one solution?
1 and 2
Answer: the Second one
Step-by-step explanation:
Hope this helps you
Enter the value of 3.5•(7-4.5).
Answer:
8.75
Step-by-step explanation:
3.5(2.5)
Answer:
8.75
Step-by-step explanation:
3.5(2.5)
y = a( x-h)^2 + k
h is the _______________________ shift.(+ shifts __________, shifts __________)k is the _______________________ shift. (+ shifts __________, shifts __________)If a is negative, the function is ____________________ across the ____- ________a1represents a vertical ________________________.a0 1represents a vertical ______________________.
can somebody help me fill this out plz
Suppose you have a bag containing 5 white marbles, 8 black marbles, 4 red marbles, and 9 green marbles. You draw a
single marble, record the color, and then place the marble back into the bag. You do this 10 times in total. After the final
time, you count your observations and see that you drew a black marble 3 times. Using what you know about theoretical
probabilities, was this likely to occur? Explain.
Answer:Yes
Step-by-step explanation:Because if u use the antropy system you'll know i hope i helped
Which pair of expressions is equivalent using the Associative Property of Multiplication?
A. 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
B. 4(2a ⋅ 5) = 8a ⋅ 20
C. 4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
D. 4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5
Answer:
4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Step-by-step explanation:
Let A, B and C be the required expression, according to Associative property;
(A+B)+C = A+(B+C)
This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.
From the given expression, the expression that is equivalent using the Associative Property of Multiplication is 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Note that the product of the values in bracket do not affect the final values
4(2a ⋅ 5) = 4(10a) = 40a
(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a
You can see that both expressions gives the same values
(8-5/2-2)-4
=?
Please helping me!!!
Answer: Hope This Helps!
Step-by-step explanation:
Simplify the expression.
Exact Form:
87/40
Decimal Form:
2.175
Mixed Number Form:
2 7/40
Trisha packs x boxes with 12 bottles in each box. The total number of bottles she packs is 216. Which equation and solution represent the total number of boxes Trisha packs?
help asap ty :)
Answer:
Number of boxes Trisha pack = 18 boxes
Step-by-step explanation:
Given:
Number of boxes Trisha pack = X
Number of bottles in each box = 12
Total number of bottle = 216
Find:
Number of boxes Trisha pack
Computation:
Total number of bottle = Number of boxes Trisha pack x Number of bottles in each box
216 = X × 12
X = 216 / 12
X = 18
Number of boxes Trisha pack = 18 boxes
Answer:
okkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
4. Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?
Answer:
361,899
hope this helps
Answer:
350,000
Step-by-step explanation:
1,500,000 - 1,138, 101 = 361,899
361,899 - 350,000 = 11,899
400,000 - 361,899 = 38,101
11,899 is less than 38,101
So, 350,000 is the answer.