Step-by-step explanation:
given,
BD = 7x - 10
BC = 4x - 29
CD = 5x - 9
a/q
BC + CD = BD
so, after inserting the values we got,
4x - 29 + x - 9 = 7x - 10
→ 5x - 38 = 7x - 10
→ 5x - 7x = - 10 + 38
→ 2x = 28
→ x = 28/2 = 14
→ x = 14
therefore value of x is 14
according to the obtained value,
BD = 7x - 10 → 7(14) - 10 = 98 - 10 = 88
BC = 4x - 29 → 4(14) - 29 → 56 - 29 = 27
CD = 5x - 9 → 5(14) - 9 → 70 - 9 = 61
hope this answer helps you dear....take care and may u have a great day ahead!
verifying,
BC + CD = BD
→ 61 + 27 = 88
→ L.H.S = 61 + 27 = 88
so,
LHS = RHS
can you help me please.
9514 1404 393
Answer:
a. (-1/2, 5)
Step-by-step explanation:
The coefficients of x have opposite signs, so the x-terms can be eliminated by adding the two equations.
(2y -12x) +(3y +12x) = (16) +(9)
5y = 25 . . . . . . simplify
y = 5 . . . . . . . . .divide by 5
This matches only answer choice A.
__
Check
The other part of answer choice A is x = -1/2. We can test this to make sure it works:
2(5) -12(-1/2) = 16
10 + 6 = 16 . . . . . . true, the selected answer works OK
You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 3.2 feet long, if the remaining piece needs to be 0.66 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.
Answer:
11.2
Step-by-step explanation:
3.2 / 0.66 = 4.8484...
3.2 + 3.2 + 4.8484... = 11.24848...
= 11.2 (rounded)
Brainliest, please!
How do i solve this?
The graph below shows two different deer populations over the same ten year period.
Deer Population
Which of the following answers is the best description for the deer population with the greatest growth rate:
Answer:
its d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
just did it!
Given that \( z \) is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places. a. \( P(0 \leq z \leq 0.59) \) b. \( P(-1.51 \leq z \leq 0) \) c.
The probability\(\( P(0 \leq z \leq 0.59) \)\) is approximately 0.2236.
To calculate this probability, we need to find the area under the standard normal curve between 0 and 0.59. We can use a standard normal distribution table or a calculator to find the corresponding z-scores and then calculate the probability?To calculate the probability, we need to find the area under the standard normal curve between 0 and 0.59. This can be done by using the standard normal distribution table or a calculator.
The table provides the cumulative probability up to a given z-value. For 0, the cumulative probability is 0.5000, and for 0.59, the cumulative probability is 0.7224. To find the probability between these two values, we subtract the cumulative probability at 0 from the cumulative probability at 0.59:
0.7224
−
0.5000
=
0.2224
0.7224−0.5000=0.2224. Rounded to four decimal places, the probability is approximately 0.2217.
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If a quadrilateral has exactly one pair of congruent, opposite angles, then the quadrilateral is a ______
1 less than the quotient of a number n and 6
Answer:
\(\frac{n}{6}\) - 1
Step-by-step explanation:
whenever the word than is there (less than, greater than) you have to switch the order so it the words 1 was first or in the beginning of the sentence but since the words less than are there, 1 goes toward the end or after the quotient of a number n and 6.
Write as an exponent with the base of b:
\(bb^{m}\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(b. {b}^{m} = {b}^{1 + m} \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Paul needs to find 310% of 72. Which expression should he use?
Step-by-step explanation:
310/100 × 72
= 223.2
using fraction × total
hope you understand.
pls like and follow :-):-)
does this equation have an inverse variation
y=10/x
Answer:
no
Step-by-step explanation:
the equation has a direct variation because anything you do with y will result with a similar change in x
Hope this helped
a researcher obtain a statistically significant r=-.91 when n=30. how would you report this?
A statistically significant negative correlation coefficient of r = -0.91 was obtained from a sample of n = 30. This indicates a strong and significant negative relationship between the variables.
The researcher conducted a correlation analysis and found a correlation coefficient (r) of -0.91, which indicates a strong negative relationship between the variables under investigation. The negative sign indicates that as one variable increases, the other variable tends to decrease, and vice versa.
The statistical significance of the correlation coefficient is crucial in determining whether the observed relationship is likely to be due to chance or if it truly exists in the population. In this case, the report should highlight that the obtained correlation coefficient is statistically significant.
To establish statistical significance, the researcher likely conducted a hypothesis test, such as a t-test or a permutation test, to determine the probability of obtaining a correlation coefficient as extreme as -0.91 under the null hypothesis of no correlation. Since the obtained correlation coefficient is statistically significant, it suggests that the observed negative relationship is unlikely to be a result of chance and provides evidence for a genuine association between the variables in the population from which the sample was drawn.
Reporting this finding is important for conveying the strength and significance of the negative relationship to the readers, providing valuable insights for further analysis and interpretation of the variables under investigation.
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Solve for a and graph the solution on the number line below.
VI
M
-2-521 or 2-5<-8
Number Line:
or
Inequality Notation:
10 12
Chick line to delete Chick closed circle to change to open cipt
Solve for x and graph the solution on the number line below.
\($$-x-5 \geq 1 \text { or }-x-5 < -8$$\)
\($$-x-5 \geq 1$$\)
Add 5 to both sides
\($$-x-5+5 \geq 1+5$$\)
Simplify
\($$-x \geq 6$$\)
Multiply both sides by - 1 (reverse the inequality)\($(-x)(-1) \leq 6(-1)$\)
Simplify
\($$x \leq-6$$\)
\($-x-5 < -8$\)
Add 5 to both sides
\($-x-5+5 < -8+5$\)
Simplify
\($-x < -3$\)
Multiply both sides by \($-1$\) (reversing the inequality)
\($(-x)(-1) > (-3)(-1)$\)
Simplify
\($x > 3$\)
The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different individuals, it is prone to misunderstanding in public discourse. However, certain distinctions are universal.
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
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700'ün %90'ı kaçtır? nolu çabuk
Step-by-step explanation:
90% of 700=90/100×700=630
Answer:
630
Step-by-step explanation:
Which graph matches the equation y+3=2(x+3)?
Answer:
The leftmost graph [with the points (-3,-3) and (0,3)]
Step-by-step explanation:
y+3=2(x+3)
y+3=2x+6
y=2x+3
The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).
The graph is considered as the creation of a diagram that depicts a relationship connecting two or more items, and further discussion can be defined as follows:
Given:
\(\bold{y+3=2(x+3)}\)
To find:
graph=?
Solution:
\(\bold{y+3=2(x+3)}\)
Solving the given equation:
\(\to \bold{y+3=2(x+3)}\\\\\to \bold{y+3=2x+6}\\\\\to \bold{y=2x+6-3}\\\\\to \bold{y=2x+3}\\\\\)
In this, the y-intercept is 3, indicating that the line crosses through the point (0,3), and the slope is 2, showing that it moves 2 units up and 1 unit over. And as a result, the proper graph is the upper left graph, with two points \(\bold{(-3,-3)\ and\ (0,3)}\).Please find the graph in the attached file.
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The AID Parcel Service wants to build a new distribution center in Charlotte. The center needs to be in the vicinity of Inerstate-77 and Intersatate-85 interchanges, and the Charlotte International Airport. The coordinates of these three sites and the number of weekly packages that flow to each are as follows:
I-77 I-85 Airport
X=16 X=35 X=40
Y=28 Y=10 Y=18
W=26,000 W=12,000 W=10,000
Determine the best site location using the center-of-gravity technique
Subject - Logistics management
Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).
The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.
To calculate the X-coordinate of the center of gravity, we use the formula:
Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)
Similarly, for the Y-coordinate:
Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)
Substituting the given values:
Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92
Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08
Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.
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Bernice paid $162 in interest on a loan if $1,800 borrowed at 6%. How long did it take her to pay off the loan?
Answer:
1.5 years.
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
t = 162 / ( 1800 × 0.06 ) = 1.5
t = 1.5 years
The time required to
accumulate simple interest of $ 162.00
from a principal of $ 1,800.00
at an interest rate of 6% per year
is 1.5 years (about 1 years 6 months).
\(\sf 13+14\times 11\)
Answer:
167
Step-by-step explanation:
By BODMAS rule,
13 + 14 x 11
= 13 + ( 14 x 11 )
= 13 + 154
= 167
Note : -
B - Brackets
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
Miss Lawrence buys 8 ounces of smoked salmon at $17.98 per pound. How much money does Miss Lawrence spend on the smoked salmon?
16 ounces=1 pound
Answer:
$8.99
Step-by-step explanation:
8 ounces is 8/16 = 1/2 pound. That much smoked salmon will cost Miss Lawrence ...
(1/2 lb)($17.98/lb) = $8.99
Miss Lawrence spends $8.99 on smoked salmon.
One store has carrots on sale for $1.1 for 3 pounds, while another store has carrots on sale for $0.78 for two pounds. Which store has the better deal?
Maria want to buy a pencil for everyone in her class. It costs $0.78 for 3 pencils. How much Maria have to spend if she bought a pencil for each of her 24 classmate?
Answer:
1) The store selling for 1.1 per 3 lbs
2) $6.24
Step-by-step explanation:
1)
1.1/3 = 0.37
0.78/2 = 0.39
0.37 is cheaper so it's a better deal
2)
\(\frac{0.78}{3} =\frac{x}{24} \\\\3x=18.72\\x=6.24\)
Answer:
1.10 for 3 is the better deal. It will cost $6.24 for the pencils.
Step-by-step explanation:
Do two separate problems but find how much it is for 1 carrot. So the first is:$1.10 divided by 3 carrots = .366 or 37 cents per carrot.
The second one is: .78 divided by 2 carrots = .39 cents per carrot.
If you break 24 students into groups of 3, that would be 8 groups. 24 divided by 3 = 8.
8 sets of 3 pencils is .78 x 8 = $6.24
Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes
Answer:
25
Step-by-step explanation:
Its just 25
Which polynomials are in standard form? x2 3x 2 q3 â€"" 15q 12q2 â€"" 16 4a a2 a â€"" 2 3x4 4x3 â€"" 3x2 â€"" 1 3t3 3t2 2t 14 a3 â€"" 6a 8a2
The polynomials are in standard form is x2 + 3x + 2, 3t3 + 3t2 + 2t 14
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on. The standard form of polynomial is given by, f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + aₙ₋₂xⁿ⁻² .....a₁x + a0, where x is the variable and ai are coefficients.
In the given options, when we analyse
x2 + 3x + 2 is given in standard form that is x2 + 3x + 2
15q 12q2 is not present in standard form
3t3 + 3t2 + 2t 14 is given in standard form
Therefore, the polynomials are in standard form is x2 + 3x + 2, 3t3 + 3t2 + 2t 14
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Three boxes each contain a different number of marbles. Box A has 70 marbles, box B has 88 marbles, and box C has 80 marbles. Marbles are to be transferred from box B to box A. What is the least number of marbles that can be transferred so box C has the most marbles?
it A
Step-by-step explanation:
Consider the following grammar G:
E → S E ∣ num
S → − S ∣ +S ∣ empty
E and S are non-terminals, +, −, and num are terminals (with the usual interpretation). The start symbol is E (not S).
a) Describe short how sentences generated by G look like, and give one example of a sentence consisting of 4 terminal symbols.
b) Give a regular expression representing the same sentences as G.
c) Give a CLR (1) for G, where the grammar has been extended by a new production E ′ → E and where E ′ is taken as the start symbol of the extended grammar.
d) Give the parsing table for G, fitting the grammar type by using of Canonical Collection.
e) Are there any conflicts?
f) Optimize the solution by using LALR (1) (If required)
g) Show how the sentence "num + num" is being parsed. Do that, by writing the stack contents and input for each shift or reduce operation executed during the parsing.
a) Sentences generated by grammar G consist of a sequence of terminal symbols that can be formed by applying the production rules. For example, a sentence consisting of 4 terminal symbols could be "num - num + num".
b) The regular expression representing the same sentences as grammar G would be: (num (+|-) num)* num
a) The grammar G consists of non-terminals E and S, terminals +, -, and num, and production rules that define how to generate sentences. To form a sentence, we start with the non-terminal E as the start symbol and apply the production rules recursively until we reach a sequence of terminal symbols.
The non-terminal S can be expanded to an empty string or to +S or -S, allowing for the generation of expressions with positive or negative signs. The non-terminal E can be expanded to S followed by E or to num, representing the recursive nature of the grammar.
b) The regular expression (num (+|-) num)* num represents the same set of sentences as grammar G. It allows for a sequence of one or more occurrences of num followed by either a plus or minus sign and another num. This pattern can repeat zero or more times, and finally, the sentence ends with a single num. This regular expression captures the structure and repetition of the production rules in grammar G.
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Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Equation 1: (x – 3)2 = y – 4
Equation 2: y = -x + b
In order for Tom’s thinking to be correct, which qualifications must be met?
b must equal 7 and a second solution to the system must be located at the point (2, 5).
b must equal 1 and a second solution to the system must be located at the point (4, 5).
b must equal 7 and a second solution to the system must be located at the point (1, 8).
b must equal 1 and a second solution to the system must be located at the point (3, 4).
Answer:
your answer is:
b must equal 7 and a second solution to the system must be located at the point (2, 5).
Step-by-step explanation:
Answer: A
Step-by-step explanation:
can someone help me please?
Answer:
the answer to the question is answer C
Answer:
Step-by-step explanation:
B is your answer
Danny and Ariana are buying a commercial building for their new business. The assessed value of the building is $500,000 and the market value is $457,350. They will put a down payment of 20%.
a. What will the property taxes be on the assessed value of the building if the taxes are 2.415%?
b. What will their monthly payment be if they take a 30-year mortgage at a 4.55%?
c. How much interest will they pay on the 30-yr mortgage for the life of the loan?
d. What will be the range for their closing costs?
e. If they take a balloon mortgage instead at a 3.5%, what is the monthly payment, before paying off the balloon?
For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term.
a. Property Taxes:
The assessed value of the building is $500,000, and the property tax rate is 2.415%. To calculate the property taxes, we multiply the assessed value by the tax rate:
Property taxes = Assessed value * Tax rate
Property taxes = $500,000 * 2.415% (convert percentage to decimal)
Property taxes = $500,000 * 0.02415
Property taxes = $12,075
Therefore, the property taxes on the assessed value of the building will be $12,075.
b. Monthly Mortgage Payment:
To calculate the monthly mortgage payment, we need to consider the loan amount, interest rate, and loan term. The down payment is 20%, so the loan amount will be 80% of the market value of the building:
Loan amount = Market value * (1 - Down payment percentage)
Loan amount = $457,350 * (1 - 20%) (convert percentage to decimal)
Loan amount = $457,350 * 0.8
Loan amount = $365,880
We can now use this loan amount, along with the mortgage interest rate and loan term, to calculate the monthly payment using the formula for a fixed-rate mortgage:
Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))
The monthly interest rate is the annual interest rate divided by 12, and the total number of months is the loan term multiplied by 12.
Annual interest rate = 4.55% (convert percentage to decimal)
Monthly interest rate = 4.55% / 12
Loan term = 30 years
Total number of months = 30 * 12
Now, let's calculate the monthly payment:
Monthly payment = ($365,880 * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))
c. Total Interest Paid:
To calculate the total interest paid over the life of the loan, we multiply the monthly payment by the total number of months and subtract the loan amount:
Total interest paid = (Monthly payment * Total number of months) - Loan amount
d. Closing Costs:
The closing costs can vary, but a common range is between 2% and 5% of the purchase price. To calculate the range for closing costs, we'll use these percentages:
Minimum closing costs = Purchase price * 2%
Maximum closing costs = Purchase price * 5%
e. Balloon Mortgage Payment:
For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term. To calculate the monthly payment for the balloon mortgage, we'll use the loan amount, interest rate, and loan term:
Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))
Now, let's calculate the monthly payment for the balloon mortgage.
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Two sides of a triangle have the following measures. Find the range of possible measures for the third side.
9, 5
Answer:
The length of the third side, L, is greater than 4 and less than 14.
4 < L < 14
Step-by-step explanation:
The length of any side of a triangle is between the sum and difference of the lengths of the other two sides.
sum of lengths of the 2 sides: 9 + 5 = 14
difference of length of 2 sides: 9 - 5 = 4
The length of the third side is greater than 4 and less than 14.
4 < L < 14
Find the value of x for which the graph of y = 3x² – 10x + 7 achieves its minimum y-value.
Since this is a parabola, you can plug this equation into an online graphing calculator for a visual. But the value of x which the line achieves its minimum y-value would be 1 2/3
to properly measure the volume of water in a calibrated glass device, such as a graduated cylinder, one should________
The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.
A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.
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if y=6 and x=-2, find x when y=-3
Answer:
1
Step-by-step explanation:
if you divide 6 by -2 you will end up with -3, so then you will divide -2 by -2 and you will get 1.