Numbers 1 and 2 are correct.
Question 3:
We can see in each figure, the number of rows matches the figure amount. For example, figure 1 has 1 row, figure 2 has 2 rows, figure 3 has 3 rows, etc. Another thing we can see is that one block gets added to each column in every figure. If we count starting from 3 and keep adding 1 for each column, we get 22 blocks for one column. In figure 20, there will be 20 rows and 22 columns. We also have to keep in mind that they add 2 extra blocks at the top and bottom that stick out like the ones shown. In total, figure 20 will consist of 442 blocks.
Question 4:
[(2 + f) * (f)] + 2 = b
(2 + f) represents the number of blocks in each column.
(f) represents the number of blocks in each row.
2 represents the two extra blocks in each figure.
Note that f in this equation equals the number of the figure. For example, figure 3 is f = 3
We can test our equation with figure three.
[(2 + f) * (f)] + 2 = b
We have figure three so f = 3. Substitute and solve.
[(2 + 3) * (3)] + 2 = b
[5 * 3] + 2 = b
15 + 2 = b
17 = b
In the example, the number of blocks is 17. Therefore, this equation works for any figure.
Best of Luck!
Answer:
We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.
4th question:
[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b
The number of blocks in each column is represented by (2 + f).
The number of blocks in each row is represented by (f).
We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.
4th question:
[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b
The number of blocks in each column is represented by (2 + f).
The number of blocks in each row is represented by (f).
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
I need help!! Given: Quadrilateral pqrt , qsv , ptv , qv bisects rt , and Qr//pv
prove: QS=VS
What is the Statement and Reasons
Answer:
Statement 1: Quadrilateral PQRT; line QSV; line PTV line QV bisects line RT, and line OR is parallel to line PV
Statement 3: angle QSR is congruent to angle VST
Statement 5: Triangle RSQ is congruent to angle TSV
Reason 1: Given
Reason 2: If a line bisects a segment, then it divides the segment into two congruent segments.
Reason 4: If two lines are parallel, then the alternate interior angles are congruent.
Step-by-step explanation:
The first statement will always be your given statements.
The given result is proved by ASA congruence criteria.
What are the criteria for congruent triangles?Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.
The given problem can be solved in statement and reason form as follows,
In triangles ΔQSR and ΔTSV,
Statement Reason
1. ∠QRS = ∠STV Alternate interior angles for QR║PV
2. RS = TS QV bisects Line segment RT
3. ∠QRS = ∠VTS Vertically opposite angles
4. ΔQSR ≅ ΔTSV Triangles are congruent by ASA
Thus, QS =VS due to corresponding parts of congruent triangles.
Hence, QS = VS is proved by the ASA criteria for congruent triangles.
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flips a fair coin until a tail first appears, and if the number of tosses equals m, then Tom gets a payoff for 2 m pounds. Calculate the expected value of his payoff.
Answer: the expected value of Tom's payoff is m²
Step-by-step explanation:
Given the data in the question,
E[x] = mp
where p = 1/2
Now Tom gets payoff pounds until a tail first appears = 2m pounds
so
E[x] = m × 1/2 × 2m
E[x] = m²
Therefore the expected value of Tom's payoff is m²
Given the exponential growth function f ( x ) = 75 ( 1.02 ) x f ( x ) = 75 ( 1.02 ) x What is the initial value of the function? What is the growth factor, or growth rate of the function (as a percent)? %
Answer:
Step-by-step explanation:
The initial vale is when x = 0
- That is 75,
The growth factor is 2%.
True or False: If the data for an observation on either the dependent variable or one of the independent variables are missing at random, then the size of the random sample available from the population must be reduced, which reduces the estimator's precision and introduces a bias.
Answer:
true
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
Solve the equation 3(x +4.5) = 36
If you get stuck use the hanger diagram to help yo
Х
4.5
Х
36
4.5
Х
4.5
Answer:
x=7.5
Step-by-step explanation:
In the diagram below of triangle CDE, F is the midpoint of CE and G is the midpoint of DE. If m∠ECD=12+9x, m∠EFG=−2x+111, what is the measure of ∠EFG?
The measure of m∠EFG in triangle CDE is equal to 93 units.
What is the midpoint theorem?In Mathematics, the midpoint theorem states that in a triangle, the line segment which joins the midpoints of any two (2) sides of the triangle must be parallel to the third side and congruent to half of the length of the third side.
By applying the midpoint theorem to triangle CDE, the measure of m∠EFG can be calculated as follows;
m∠ECD = m∠EFG
12 + 9x = −2x + 111
9x + 2x = 111 - 12
11x = 99
x = 99/11
x = 9.
For line segment m∠EFG, we have the following:
m∠EFG = −2x + 111
m∠EFG = −2(9) + 111
m∠EFG = −18 + 111
m∠EFG = 93 units.
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what are the vertex and x-intercepts of the graph of the function given below?
Vertex: (1, -36); intercepts: x = 7, -5 (option D)
Explanation:Given:
\(y\text{ = x}^2\text{ - 2x - 35}\)To find:
the vertex and the x-intercepts
i) Vertex is given as (h, k). To determine the vertex, we will apply the formula:
\(\begin{gathered} h\text{ = }\frac{-b}{2a} \\ k\text{ = f\lparen h\rparen} \\ from\text{ the given equation:} \\ a\text{ = 1, b = -2 c = -35} \\ \\ h\text{ = }\frac{-(-2)}{2(1)}\text{ = 2/2} \\ h\text{ = 1} \\ \\ k\text{ = f\lparen h\rparen} \\ We\text{ will substitute the value of h with x in the given equation} \\ y\text{ =1}^2\text{ - 2\lparen1\rparen - 35} \\ y\text{ = -36} \\ k\text{ = -36} \end{gathered}\)Vertex (h, k): (1, -36)
ii) x-intercept is the value of x when y = 0. To determine x-intercept, we will substitute y with 0. Then solve for x
\(\begin{gathered} 0\text{ = x}^2\text{ - 2x - 35} \\ x^2\text{ - 2x - 35 = 0} \\ factors\text{ of -35 whose sum gives -2 are -7 and 5} \\ -7(5)\text{ = -35} \\ -7+5\text{ = -2} \\ \\ x^2-\text{ 7x + 5x - 35 = 0} \end{gathered}\)\(\begin{gathered} factorise: \\ x(x\text{ - 7\rparen + 5\lparen x - 7\rparen = 0} \\ (x\text{ + 5\rparen\lparen x - 7\rparen = 0} \\ x\text{ + 5 = 0 or x - 7 = 0} \\ x\text{ = -5 or x = 7} \\ The\text{ x-intercepts are x = 7, -5} \end{gathered}\)pls answer fast. will give brainliest (v2)
Answer:
Account B principle for B=400, principle for A=200
Step-by-step explanation:
Parabolas in geometry. i need help please
Answer:
OPtion B
Step by step explanation:
Lets plug in a random value for x.
Lets say 5 is x
-8(-5-5)=(y+1)^2
5-5 = 0
-8(0) = 0
0 = (y+1)^2
Square root of both sides
0 = y+1
subtract one from both sides
-1 = y
that means the x is 5 and the y is -1. Option B illustrates exactly that!
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
There are 495 boys and 379 girls in a school. 147 pupils wear
spectacles. How many pupils do not wear spectacles?
100 POINTS
Find the error(s) and solve the
problem correctly in the picture below
Change the third line only .
<TFS\(\cong \)<PFQReason--(Opposite angles are same )Amd at 4th line
\(\\ \tt\Rrightarrow ∆TFS\cong∆PFQ(ASA)\)
Proved250 grams of flour cost $ 17 .00 . how muchnwill 3 bags each holding 1.5kg of flour cost
Answer:
$51.00
Step-by-step explanation:
One bag price multiply it number of price bag wanted $17.00 × 3 =$51.00
Determine the smallest integer that makes -6x+3-2x<19 true.
The smallest integer that would make the equation true is x < -2.
Given,
The equation; -6x + 3 - 2x < 19
We have to find the smallest integer that makes the equation true.
Integers;-
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.
Here,
Solve the equation for x.
That is,
-6x + 3 - 2x < 19
-8x + 3 < 19
-8x < 19 - 3
x < -16/8
x < -2
That is,
The smallest integer that would make the equation true is x < -2.
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Consider the table of values below.
X 0 1 2 3
f(x) -5 7 1931 -
Find the linear function f(x).
Select the correct answer below:
O f(x) = 12x – 10
f(x) = -5x + 12
f(x) = 68 - 5
O f(x) = 12x - 5
O f(x) = 12x
Answer:
f(x)=12x-5
Step-by-step explanation:
-5 is the y-intercept since f(1)=0
the difference from -5 and 7 (7-(-5) or 7+5) is 12 and 12/1 equals 12
if diameter of a bagel is 4.2inches what is radius in inches
Answer:
Radius: 2.1Inches
Step-by-step explanation:
Circumference
Circumference is the linear distance around the circle edge.
Radius
The radius of a circle is any of the line segments from its center to its perimeter. The radius is half the diameter or r = d
2
.
Diameter
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. The diameter is twice the radius or d = 2·r.
The Greek letter π
π represents the number Pi which is defined as the ratio of the circumference of a circle to its diameter or π = C
d
. For simplicity, you can use Pi = 3.14 or Pi = 3.1415. Pi is an irrational number. The first 100 digits of Pi are: 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
Jamie needs to estimate the number of buses he will need in order to transport people to the company picnic. Each bus can carry 56 people, and there are 1,344 people going to the picnic. Jamie decides to use the compatible numbers 60 and 1,200. Will he have enough buses for the picnic?
Answer:20
Step-by-step explanation:
To estimate the number of buses Jamie needs, he can divide the total number of people going to the picnic by the number of people each bus can carry:
1,344 ÷ 56 ≈ 24 buses.
To check if using compatible numbers makes sense, Jamie can use 60 and 1,200, which are both multiples of 10 and closer to the actual numbers:
1,200 ÷ 60 = 20 buses.
Since 20 buses is less than the estimated 24 buses, Jamie will not have enough buses to transport all the people to the picnic. He may need to rent or borrow additional buses or find alternative transportation solutions.
A rectangular field is 160 ft by 330 ft. A silo (cylinder) with a height of 37 ft and a diameter of 27 ft is built on the field. How much area for planting is left over after the silo is built?
Answer:
52,227.4 square feet
Step-by-step explanation:
The area of the field not covered by the silo is the difference between the area of the rectangular field and the area of the circular base of the silo.
The field area is given by the formula ...
A = LW . . . . where L and W represent length and width
The area of the circular base of the silo is given by the formula ...
A = πr² . . . . where r represents the radius of the silo (half the diameter)
__
The desired difference is ...
A = LW - πr² = (160 ft)(330 ft) -π(13.5 ft)² ≈ 52800 ft² -572.6 ft²
A ≈ 52,227.4 ft²
About 52,227.4 square feet are left for planting.
_____
Additional comment
Sometimes, you are expected to round the answer to a precision matching the precision of the contributors. Here, that would be 2 significant figures:
52,000 ft²
You may be expected to give your answer rounded to a precision other than either of the values shown above.
what is the probability that the sample mean for a sample of size 35 will be at least 26?use the results from above in your calculation and round your answer to the nearest percent. you may use a calculator or the portion of the z-table given below.
1% is the probability that the sample mean for a sample of size 35 will be at least 26.
To calculate the probability, we need to use the central limit theorem, which states that the sampling distribution of the sample mean is approximately normal, with mean μ and standard deviation σ/√n, where μ is the population mean, σ is the population standard deviation, and n is the sample size.
Since we do not have the population mean and standard deviation, we will assume that they are unknown and use the sample mean and standard deviation instead. We will also assume that the sample is a random sample and that the sample size is sufficiently large (n ≥ 30).
We can use the z-score formula to calculate the probability as follows:
z = (X - μ) / (σ / √n)
where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case, we want to find the probability that the sample mean is at least 26, so we can rewrite the formula as:
z = (26 - X) / (s / √35)
where s is the sample standard deviation.
We can then use the z-table to find the probability that corresponds to the calculated z-score. The portion of the z-table provided gives the probability for the area under the curve to the left of the z-score.
Using a calculator, we can calculate the z-score as follows:
z = (26 - X) / (s / √35) = (26 - X) / (4.2 / √35)
Assuming a significance level of α = 0.05 (corresponding to a confidence level of 95%), we can find the z-score that corresponds to the area to the left of α/2 = 0.025 in the z-table, which is approximately 1.96.
Therefore, we can rewrite the formula as:
1.96 = (26 - X) / (4.2 / √35)
Solving for X, we get:
X = 26 - 1.96 * (4.2 / √35)
X ≈ 24.59
So, the probability of obtaining a sample mean of at least 26 is equivalent to the probability of obtaining a z-score of:
z = (26 - 24.59) / (4.2 / √35) ≈ 0.98
Using the z-table, we can find that the probability corresponding to a z-score of 0.98 is approximately 0.8365 or 83.65%.
Rounding to the nearest percent, we get the answer B. 1%.
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Correct question:
What is the probability that the sample mean for a sample of size 35 will be at least 26?
A. 0.01%
B. 1%
C. 5%
D. 10%
A 2-yard piece of copper wire costs $26.16. What is the price per foot?
Answer:
$4.36
Step-by-step explanation:
there are 6 ft in 2 yards so you divide 26.16 by 6 which is 4.36
It is $4.36 for a foot of copper wire.
Write the relation between hypotenus perpendicular and base
Answer:
the area of the square on the hypotenuse is equal to the sum of the areas of squares of perpendicular and base".
Assume Hudson Co. has a target pretax income of $162,000 for 2020. What amount of sales (in dollars) is needed to produce this target income?
2. If Hudson achieves its target pretax income for 2020, what is its margin of safety (in percent)? (Round your answer to 1 decimal place.)
What is the amount of sales?
What is the margin of safety?
Answer:
Step-by-step explanation:
I think the answer on this question is 2124
What’s the Midpoint of (2,-1) and (1,-2)
Answer:
(3/2,-3/2)
Step-by-step explanation:
The midpoint of (2,-1)(1,-2) is (3/2,-3/2)
Answer:
(1.5,-1.5)
You have to remember the formula to find mid-point and that is:
\(midpoint = ( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )\)
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
two pounds of flour cost 1.20 .How much flour do you get per dollar?
1.67 pounds flour we get per dollar.
What does pounds mean in weight?Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.
Given,
Cost for 2 pounds of flour = $ 1.20
Cost per pound of flour = $ 1.20 /2
= $ 0.20
Now for 2 dollar we get flour = 2 pounds.
for 1 dollar we will get flour = 2/1.20 pounds
= 1.6666 pounds
i.e. for 1 dollar we will get flour = 1.67 pounds.
So, 1.67 pounds flour we get per dollar.
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If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?
Answer:
The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.
Step-by-step explanation:
This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.
25-40x = x - 10
solve this radical equation
the 25-40x is supposed to be in a square root
You take a train away from Bangkok at 1:50 a.m. on Wednesday. You ride the train for 16 hours and 40 minutes, at which point you arrive in Vladivostok at 9:30 p.m. on Wednesday, local time. How does Vladivostok’s time zone relate to Bangkok’s time zone?
a.
Vladivostok is three hours ahead of Bangkok.
b.
Vladivostok is nine hours behind Bangkok.
c.
Vladivostok is fifteen hours behind Bangkok.
d.
Vladivostok is twenty-one hours ahead of Bangkok.
Answer:
a.
Vladivostok is three hours ahead of Bangkok.
Step-by-step explanation:
Time the train left Bangkok is 1:50am
It traveled for 16 hours 40 minutes.
If the train was to be in Bangkok.
The Time Will be 1+16 hours then 50+40 minutes
Which is 17 hours + 1 hour 30 minutes
Which is 18 hours and 30 minutes
And 18 hours = 6:00 pm
So if it was in Bangkok the time with be 6:30 pm
But in Vladivostok, it was 9:30 pm
It's clear that Vladivostok time is faster by 3 hours
Felicia walks 3 blocks west, 4 blocks south, 3 more blocks west, then
2 blocks south again. How far is Felicia from her starting point?
blocks
Answer: