Answer:
Largest: 800,499
Smallest: 799,500
The required largest number is 8,00, 499 and the smallest number is 7,99, 500.
Given that,
800,000 rounded to the nearest hundred thousand.
To determined the largest and smallest number.
What is rounding of values?
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
Any number range -500 and + 499 to 8,00,000 will be the smallest and largest number that could be rounded to 8,00,000.
smallest number = 8,00,000 - 500 = 7, 99, 500
largest number = 8,00,000 + 499 = 8,00,499
Thus, the required largest number is 8,00, 499 and the smallest number is 7,99, 500.
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The Smith family sprinkler was used for 25 hours and the Figueroa family sprinkler was used for 35 hours. The combined total output was 1850L of water. What was the water output for each sprinkler if the sum of the two rates was 60L per hour?
From the text, we get two equations that relates the rate of the Smith family sprinkler and the Figueroa family sprinkler. Let's call the rate of water of the Smith family sprinkler "S" and the rate of water of the Figueroa family sprinkler "F".
Since the the Smith family sprinkler was used for 25 hours and the Figueroa family sprinkler was used for 35 hours, and the combined output was 1850L, we have the following equation:
\(25S+35F=1850\)And since the sum of both rates equals 60L/h, we have the following:
\(S+F=60\)Now, we just have to solve this system.
\(\begin{cases}25S+35F=1850 \\ S+F=60\end{cases}\)First, we can simplify the first equation by dividing every term by 5.
This lead us to this system
\(\begin{cases}5S+7F=370 \\ S+F=60\end{cases}\)If we multiply the second equation by five, and subract it from the first equation, we get an equation only with F.
\(\begin{gathered} 5\times(S+F)=5\times60 \\ \Rightarrow5S+5F=300 \end{gathered}\)\(\begin{gathered} 5S+7F-(5S+5F)=370-(300) \\ \Rightarrow2F=70 \\ \Rightarrow F=\frac{70}{2}=35 \end{gathered}\)This tell us that the rate of the water output for the Figueroa family sprinkler is 35L/h. With this value, we can just substitute in any equation of our system and get the other rate.
\(\begin{gathered} S+35=60 \\ \Rightarrow S=25 \end{gathered}\)And this is the rate for the Smith family sprinkler. 25L/h.
Find the y-intercept for the parabola defined by
this equation:
y = – 7x^2 – 10x + 3
Separate the values with a comma.
Answer:
Step-by-step explanation:
The y-intercept exists where x = 0; plug in 0 for all the x's and solve the equation for y:
\(y=-7(0)^2-10(0)+3\) and
y = 3. The coordinate that represents this is (0, 3)
The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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Find the probability of having 2,3, or 4
successes in five trials of a binomial
experiment in which the probability of
success is 40%.
Round to the nearest tenth of a
percent.
Answer:
65.3%
Step-by-step explanation:
P(2,3, OR 4)
You have to do each one individually then add them together
5C2(.4)^2 times (.6)^3 + 5C3(.4)^3 times (.6)^3 + 5C4(.4)^4 times (.6)^1=
.3465+.2304+.0768=.6528=65.3%
what is the value of the expression below (81^2)^1/8
\(\textsf{Hey there!}\)
\(\mathsf{81^2=81\times81\rightarrow\bf{6,561}}\)
\(\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}\)
\(\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark\)
\(\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\dfrac{\frak{LoveYourselfFirst}}{:)}\)
Answer:
c
Step-by-step explanation:
because I said so " But rearle you cant start a sentence with because"
ok then, The answer is C because I said so
please answer giving brainliest
Answer:
12
Step-by-step explanation:
it is given that CD is tangent to O B
so BDC is right triangle.
pythagorean theorem
BD^2=BC^2+CD^2
13^2=5^2+CD^2
169-25=CD^2
CD=√144
CD=12
The Drama Club ordered 16 pizzas for a party. Each pizza had 6 slices. Mai ate 7 of the slices. How many slices were left for the rest of the club?
Answer:
Answer is 89. Because total slices were 96 and Mai ate 7 so 96 - 7 is 89
classify the quadrilateral formed at the points: A(-3,1) B(4,2) C(9,-3) and D (2,-4)
tags: geometry homework help need fast
Answer:
Step-by-step explanation:
To classify the quadrilateral formed by the given points, we need to find the length of each side and the measure of each angle.
Using the distance formula, we can find the length of each side:
AB = sqrt((4 - (-3))^2 + (2 - 1)^2) = sqrt(49 + 1) = sqrt(50)
BC = sqrt((9 - 4)^2 + (-3 - 2)^2) = sqrt(25 + 25) = 5sqrt(2)
CD = sqrt((2 - 9)^2 + (-4 - (-3))^2) = sqrt(49 + 1) = sqrt(50)
DA = sqrt((-3 - 2)^2 + (1 - (-4))^2) = sqrt(25 + 25) = 5
Using the slope formula, we can find the measure of each angle:
Angle ABC: m1 = (2 - 1)/(4 - (-3)) = 1/7
m2 = (-3 - 2)/(9 - 4) = -1/5
tan(ABC) = |(m2 - m1)/(1 + m1m2)| = 3/4
ABC = arctan(3/4) ≈ 36.87°
Angle BCD: m1 = (-3 - 2)/(9 - 4) = -1/5
m2 = (-4 - (-3))/(2 - 9) = 1/7
tan(BCD) = |(m2 - m1)/(1 + m1m2)| = 3/4
BCD = arctan(3/4) ≈ 36.87°
Angle CDA: m1 = (-4 - 1)/(2 - (-3)) = -1
m2 = (1 - (-3))/(-3 - 9) = 1/2
tan(CDA) = |(m2 - m1)/(1 + m1m2)| = 7/5
CDA = arctan(7/5) ≈ 54.46°
Angle DAB: m1 = (1 - (-4))/(4 - (-3)) = 5/7
m2 = (-4 - (-3))/(-3 - 2) = 1/5
tan(DAB) = |(m2 - m1)/(1 + m1m2)| = 3/4
DAB = arctan(3/4) ≈ 36.87°
Therefore, the quadrilateral formed by the given points is a kite, because adjacent sides are congruent and one diagonal bisects the other diagonal at a right angle.
Jenny put all her shoeboxes in a row. The width of each shoebox is 12.02 cm. What is the total width of all 14 shoeboxes?
Answer:
168.28
Step-by-step explanation:
Solve for m∠PNM.
58
186
97
87
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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Explain whether 13t−3t is equivalent to 3t−13t. Support your answer by evaluating the expressions for t=2.
Answer:
Not equivalentStep-by-step explanation:
13t - 3t = (13 - 3)t = 10t3t - 13t = (3 - 13)t = -10t10t ≠ -10tThey are not equivalent
When t = 2
13t - 3t = 13*2 - 3*2 = 26 - 6 = 203t - 13t = 3*2 - 13*2 = 6 - 26 = -20Answer:
They are not Equivalent.
Step-by-step explanation:
You can tell that they aren't by doing that equations.
13t-3t=10t
3t-13t=-10t
If you were to inert 2 into t's , spot, it still would not work.
13(2)-3(2), 26-6=20
3(2)-13(2), 6-26=-20
angle of is a right angle. the sides of are the diameters of semicircles as shown. the area of the semicircle on equals , and the arc of the semicircle on has length . what is the radius of the semicircle on ?
The radius of the semicircle having an arc of length equal to 8.5 \(\pi\) in a right-angle triangle ABC is equal to 7.5 cm.
Given:
Angle ABC of triangle ABC is a right angle. The sides of ABC are the diameters of semicircles.
The area of the semicircle on AB equals 8\(\pi\).
Area of a semicircle = \(\pi r^2/2\)
Therefore:
\(\pi r^2/2\) = 8\(\pi\)
\(r^2 = 16\)
\(r = 4\)
Next, the arc of the semicircle on AC has a length of 8.5\(\pi\).
Length of the arc of a semicircle = \(\pi r\)
\(\pi r\) = 8.5\(\pi\)
\(r = 8.5\)
Using Pythagoras theorem
\(8.5^{2} = 4^{2} + x^{2}\)
\(x^{2} = 8.5^2 - 4^2\\\)
\(x^{2} = 56.25\)
\(x = \sqrt{56.25}\)
\(x = 7.5\)
The radius of the semicircle of BC = 7.5 Units.
Refer to this complete question for this:
Angle ABC of triangle ABC is a Right angle. The sides of ABC are the diameters of semicircles as shown. The area of the semicircle on AB equals 8pi and the arc of the semicircle on AC has a length of 8.5pi. What is the radius of the semicircle of BC?
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3/x=2
How do you solve this without get a loop
Answer:
x= 3/2
Step-by-step explanation:
3/x=2
Multiply x both sides so,
3 =2x
Divide 2 to get the value of x so,
x= 3/2
Hellllllllllp me please
Step-by-step explanation:
different between each value is 4
PLEASE HELP FAST ILL GIVE BRAINLIEST How much wrapping paper is needed to wrap a cube shaped gift with an edge measuring 15 cm?
0
O A. 1350 cm squared
B. 225 cm squared
O C. 1125 cm squared
Answer:
Its letter B.
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Mrs. O'Dell has 8 different
vegetables to plant in her
garden. She wants to divide
her garden into 8 squares. Each
square should be the same size.
Help Mrs. O'Dell divide her
garden into 8 squares. What is
the measurement of each side
of the squares?
The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.
How to divide the total area into 8 squares which are the same size?To begin, let's identify the best way to divide the total area. For this, there are 2 options:
Create two rows each with 4 squares = 4 x 2 = 8Create four rows each with 2 squares = 2 x 4 8=Let's use the first pattern:
Length: 3 meters / 4 = 0.75meters or 75 centimetersWidth= 2 meters / 2 = 1 meter or 100 centimetersBased on this, the dimensions for each section should be 75 centimeters by 100 centimeters.
Note: This question is incomplete; here is the missing section:
Dimensions of the garden: 3 meters x 2 meters
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52.47*0.0852\254^1\3 solve by log
Answer:
\((87)y {89}^{2} \\ 39\)
Step-by-step explanation:
\()(2836) \tan( \cos( \gamma \binom{\% log_{?}(?) }{?} ) ) \)
HELP HELP HELP
Which statement about proportional relationships is false?
A proportional relationship must graph as a line.
A graph of a proportional relationship must pass through (0, 0).
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.
Answer:
here you go
Step-by-step explanation:
the last one is "Each point (or pair) in a proportional relationship must share the same difference."
Answer:
Step-by-step explanation:
Given : Statement about proportional relationships
To Find : Which statement is False
Solution:
proportional relationships
y ∝ x
=> y = kx
Comparing with line line of equation
y = mx + c
m = k , c = 0
Hence A proportional relationship must graph as a line
TRUE
at x = 0 , y = 0
Hence graph of a proportional relationship must pass through (0, 0).
TRUE
y = kx
=> y/x = k hence
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.
Which of the points below correctly plots the point (−2,−5π/3)?
Select the correct answer below:
A
B
C
D
E
F
Answer: F
Step-by-step explanation:
Answer: correct answer is A
Step-by-step explanation:
Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.
A round has a diameter of
115
cm
115 cm115, start text, space, c, m, end text and is
25
cm
25 cm25, start text, space, c, m, end text deep. A hose is filling the pool at a rate of
34
,
000
cm
3
34,000 cm
3
34, comma, 000, start text, space, c, m, end text, cubed per minute.
How long will it take to fill the pool to a depth of
20
cm
20 cm20, start text, space, c, m, end text?
Round to the nearest minute.
It will take approximately 6.1 minutes to fill the pool to a depth of 20 cm at the given fill rate.
How to solve for the time it will take to fill the poolFind the radius of the pool:
Since the diameter is 115 cm, the radius (r) will be half of that:
Radius (r) = Diameter / 2
r = 115 cm / 2
r = 57.5 cm
Calculate the volume of the pool when filled to a depth of 20 cm:
Since the pool is round and assuming it has a cylindrical shape, we can use the formula for the volume of a cylinder:
Volume = π × r² × h
where π (pi) is approximately 3.14159, r is the radius, and h is the height (or depth, in this case).
Volume = 3.14159 × (57.5 cm)² × 20 cm
Evaluate the volume:
Volume ≈ 3.14159 × 3306.25 cm² × 20 cm
Volume ≈ 3.14159 × 66125 cm³
Volume ≈ 207354.2 cm³
Calculate the time it takes to fill the pool to a depth of 20 cm:
We are given that the hose fills the pool at a rate of 34,000 cm³ per minute. To find out how long it will take to fill the pool, we can use the following formula:
Time = Volume / Fill Rate
Time ≈ 207354.2 cm³ / 34,000 cm³/min
Time ≈ 6.1 minutes
It will take approximately 6.1 minutes to fill the pool to a depth of 20 cm at the given fill rate.
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b. Express log2 24 in terms of prime factors and leave answer in the most simplified form using properties of logarithms. (2 Marks)
log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.
To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.
First, let's find the prime factorization of 24.
24 can be divided by 2, so we have 24 = 2 × 12.
12 can be divided by 2, so we have 12 = 2 × 6.
6 can be divided by 2, so we have 6 = 2 × 3.
Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.
Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.
log₂ 24 = log₂ (2³ × 3)
According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:
log₂ (2³ × 3) = log₂ 2³ + log₂ 3
Since log₂ 2³ is equal to 3, we can simplify the expression further:
log₂ (2³ × 3) = 3 + log₂ 3
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when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal
When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.
A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.
However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.
While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.
Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.
So, correct option is B.
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which statement is true?
Answer:
The y-intercept of Function A is less than the y-intercept of Function B.
Step-by-step explanation:
Function A's y-intercept would be (0, -1) and Function B's y-intercept is (0, 4). Therefore, Function A's y-intercept is less than Function B's.
Flora's Flower Shop is gearing up for Valentine's Day, which is typically their busiest time of the year. Flora was able to secure 9,000 red roses for the holiday this year. Flora sells red roses for $8 per stem, and bouquets of 12 red roses for $75. The cost per stem for Flora is $3. Typically half of all flowers are sold as individual stems and half as bouquets, however on Valentine's Day the majority of flowers are sold as part of bouquets. Last year Flora made $35,000 over the Valentine's Day holiday, and hopes to make the same profit this year. What is the maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000. 42% O 50% 63% 81%
The maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.
What is proportion?The proportion shows the ratios of two or more variables.
While the maximum proportion show the highest ratio or percentage of a variable required to equate an expression.
Data and Calculations:Number of red roses procured for sale = 9,000
Selling price per stem = $8
Selling price per bouquet (12 stems) = $75
Cost per stem = $3
Last year's Valentine Day profit = $35,000
Stem Boutique
Selling price $8 $75
Cost per stem 3 36 ($3 x 12)
Contribution margin per unit $5 $39 ($75 - $36)
Contribution margin per stem $5 $3.25 ($39/12)
Weighted contribution margin $22,500 $14,625 ($3.25 x 4,500)
Proportion 42% ($14,625/$35,000 x 100)
Thus, the maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.
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There are 28 rows in a corner section of a professional football stadium. Each row
contains 4 more seats than the row in front of it. If there are 15 seats in the first row, 19
seats in the second row, 23 seats in the third row, and so on, which equation represents
the number of seats “s”in the “nth” row?
A. s(n)= 11 +4n
B. s(n) = 15+41
С. s(n) = 28 + 4n
D. s(n) = 11n + 4
Answer: A. S(n) =11+4n
Step-by-step explanation:first row is 15 so 11+(1×4) and 11+(4×2)=19 and so onn.
which shows how to make 10 to add 88
To make 10 to add 8 + 8 is 10 - 2 + 10 - 2 that is 16
Make 10, or Add up using 10 is a derived facts strategy. That means children need to know some facts by hear before they can use a make 10 strategy. The key facts for using a make 10 strategy are 8+2=10 and 9+1=10.
We need to make 10 to add 8 + 8.
8 + 8 = (10 - 2) + (10 - 2)
8 + 8 = 10 - 2 + 10 - 2
8 + 8 = 20 - 4
8 + 8 = 16
Thus, to make 10 to add 8 + 8 is 10 - 2 + 10 - 2 that is 16
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Jeremy is randomly selecting an outfit to celebrate Probability Day at his school. He can choose from a green (G) or purple (P) shirt, denim (D) or khaki (K) pants, argyle (A) or crew (C) socks, and boots (B), sneakers (S). What is the probability that Jeremy will select an outfit that includes flip-flops (F) and argyle (A) socks?
a, b, and c are positive real numbers;
a×b= 5742×6368
a×c= 5748×6362
c×b= 5738×6372
?<?<?
And please clarify your answers in a simple language
Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.
By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.
Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.
In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.
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Given: TH ≈ SE, TM ≈ SD, ME ≈ HD
Prove:
Answer with statements and reasons
By property of congruence of triangles we must have ∠M=∠D
What is Congruence?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Given here: TH=SE,TM=SD, ME=HD
Thus by SSS property of congruence we must have ΔEDS≅ΔHMT
Therefore by property of congruence we must have ∠M=∠D
Hence, by property of congruence we must have ∠M=∠D
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two technicians regularly make repairs when breakdowns occur on an automated production line. the first technican, who services 40% of the breakdowns, has 5% chance of making incomplete repair. the second technican, who services 60% of the breakdowns, has 3% chance of making an incomplete repair. given that there is a problem with the production line due to an incomplete repair, what is the probability that thids intial repair was made by the first technican
Answer:
52.63% probability that thids intial repair was made by the first technican
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
\(P(B|A) = \frac{P(B)*P(A|B)}{P(A)}\)
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Incomplete repair
Event B: Made by the first technican.
The first technican, who services 40% of the breakdowns, has 5% chance of making incomplete repair.
This means that \(P(B) = 0.4, P(A|B) = 0.05\).
Probability of an incomplete repair:
5% of 40%(first technican) or 3% of 60%(second technican). So
\(P(A) = 0.05*0.4 + 0.03*0.6 = 0.038\)
Given that there is a problem with the production line due to an incomplete repair, what is the probability that thids intial repair was made by the first technican
\(P(B|A) = \frac{0.4*0.05}{0.038} = 0.5263\)
52.63% probability that thids intial repair was made by the first technican