According to question,
Given data,
We know that;
Zero product property,
ab =0
either a or b or both must be zero.
(x-5) (x+7) = 0
Where a=(x-5)
b= (x+7)
then,
x-5=0(both side equation adding +5)
+5=+5
So,
x = 5
therefore,
x+7=0(both side equation substrate -7)
-7=-7
So,
x=7
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Bulid a function from the following data:
f(x): -2,-4,-8,-16
A function from the given data is f(x) is -2(2)^x.
There are many possible functions that can pass through the given data points, but a simple one that fits the pattern is a geometric sequence
f(x) = -2(2)^x
Using this recursive formula, we can find the values in the sequence
f(0) = -2(2)^0 = -2
f(1) = -2(2)^1 = -4
f(2) = -2(2)^2 = -2 * 4 = -8
f(3) = -2(2)^3 = -2 * 8 = -16
Therefore, the function that fits the given data is
f(x) = -2(2)^x
This function generates the sequence -2, -4, -8, -16 when x = 0, 1, 2, 3, respectively. Each term is multiplied by -2, which means the sequence is decreasing and each term is twice the previous term.
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When it was first started, the Clinton High Cooking Club had 101010 members. Each year after the club started, the number of members increased by a factor of approximately 1.21.21, point, 2.
After one year, the club had approximately 123123 members. After two years, the club had approximately 149149 members. After three years, the club had approximately 180180 members.To calculate the number of members after three years, multiply the initial number of members (101010) by the factor of 1.21.21 three times
1. To calculate the number of members after one year, multiply the initial number of members (101010) by the factor of 1.21.21:
101010 x 1.21.21 = 12312
2. To calculate the number of members after two years, multiply the initial number of members (101010) by the factor of 1.21.21 twice:
101010 x 1.21.21 x 1.21.21 = 149149
3. To calculate the number of members after three years, multiply the initial number of members (101010) by the factor of 1.21.21 three times:
101010 x 1.21.21 x 1.21.21 x 1.21.21 = 180180
After one year, the club had approximately 123123 members. After two years, the club had approximately 149149 members. After three years, the club had approximately 180180 members.
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Which type of chart provides the least "predictive" value?
A. Bar chart
B. PERT
C. ADM
D. PDM
The correct option is A. The bar chart provides the least predictive value compared to PERT, ADM, and PDM techniques. It is primarily used for data visualization and comparison, not for forecasting.
The type of chart that provides the least "predictive" value is the Bar chart (A). A bar chart is used to represent categorical data and compare values across different categories. It is not typically used for predictive analysis or forecasting future trends. Instead, it focuses on displaying data in a visual and easy-to-understand format.
On the other hand, PERT (B), ADM (C), and PDM (D) are all project management techniques that are used for planning and scheduling activities in a project. They involve creating network diagrams and calculating critical paths to determine the project's timeline and dependencies. These techniques are more focused on analyzing and predicting the project's timeline and resource requirements, making them more predictive than a bar chart.
In summary, a bar chart provides the least "predictive" value compared to PERT, ADM, and PDM techniques. It is primarily used for data visualization and comparison rather than forecasting future trends.
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10. The area of a square frame is 55 square inches. Find the length of one side of the
frame. Explain.
PART A
To the nearest whole inch
PART B
To the nearest tenth of an inch
Answer:
see explanation
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length )
Given A = 55 , then
s² = 55 ( take the square root of both sides )
s = \(\sqrt{55}\) ≈ 7 in ( to the nearest whole inch )
s ≈ 7.4 in ( to the nearest tenth of an inch )
Answer:
Part A = 7 inches, Part B = 7.4 inches
Step-by-step explanation:
To find one side of a square frame (k x k) you need to find the square root of 55, because this will give you a number that when multiplied by itself, will give you 55. Since it's a square frame the number is the same on the length and the width, so square root works perfectly. Use a calculator to find the square root of 55, the answer is 7.4161984871, in Part A it asks for the whole inch which is no decimals but only whole numbers, so the answer is 7. In Part B it asks to the nearest tenth of an inch, we don't have to round since the hundredth is only 0.01, and so the answer is 7.4.
Our university plans to carry out a campus expansion project in 6 years. It is estimated that $3 million will be needed at that time. The university plans to deposit a sum of money at the end of each year for five years from now. The annual interest rate is 5.5%. How much (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project?
$473,710.99 (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project.
To determine the amount of money that should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project, we can use the concept of future value of an annuity.
The future value of an annuity is the accumulated total value of all the payments or deposits made, including the interest earned over the specified period. It represents the amount of money that will be available at a future date, considering the compounding effect of interest.
The formula to calculate the future value of an annuity is:
\(FV = P * [(1 + r)^n - 1] / r\)
Where:
FV is the future value of the annuity,
P is the amount of each payment or deposit,
r is the interest rate per period,
n is the number of payment periods.
In this case, the university plans to deposit a sum of money at the end of each year for five years from now. This means there are five years of deposit.
The future value (FV) is given as $3 million, so FV = $3,000,000.
The annual interest rate (r) is 5.5%, so r = 0.055.
The number of years (n) is 6 years.
We need to solve the formula for P (the amount to be deposited each year).
$3,000,000 = P * [(1 + 0.055)^6 - 1] / 0.055
$3,000,000 = P * [1.348148 - 1] / 0.055
$3,000,000 = P * 0.348148 / 0.055
$3,000,000 = P * 6.33087
P = $3,000,000 / 6.33087
P ≈ $473,710.99
Therefore, $473,710.99 (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project.
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Write an equation to represent the sequence
19, 38, 57, 76,95 ...
Answer:
Step-by-step explanation:
lets look at the numbers
38-19=19
57-38=19
76-57=19
aₙ=aₙ-₁ +19
Suppose that 20% of a group of people have hazel eyes, what is the probability that the eighth passenger boarding a plane is the third one having hazel eyes? assume that passengers boarding the plane form a randomly chosen group
Answer: This is called percent error this is how i solve.
8 20%
3 100%
800. 60 = 48000
Find the length of the line segment whose endpoints are (-3, 4) and (5,4).
Therefore ,the length of the line segment must therefore be 8 units in order to solve the stated problem.
What is line segment?A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a lines has no ends and can go on forever in either direction. A ray only has one end point and an endlessly long other end, as opposed to a line segment that has two ends.
Here,
The distance formula can be used to determine the length of a line segment.
D = \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
The points are (x1, y1) and (x2, y2).
x₁ = -3
y₁ = 4
x₂ = 5
y₂ = 4
We are given the following points: (-3, 4) and (5,4). Therefore,
Thus,
=> D = \(\sqrt{(5- (-3))^{2} +(4-4)^{2} }\)
=> \(\sqrt{(8)^{2} +(0)^{2} }\)
=> \(\sqrt{(8)^{2} } }\)
=> 8
The line segment has a length of 8 units.
Therefore ,the length of the line segment must therefore be 8 units in order to solve the stated problem.
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Help me ASAP
I need to be done with this in 10 minutes
Answer:
B) \(y= \frac{1}{2}x+4\)
Step-by-step explanation:
Find the value of b using the formula for the equation of a line.
\(y=mx+b\)
Replace the known value of m in the slope y-intercept form of the equation.
\(y=(\frac{1}{2}) x+b\)
Replace the known value of b in the slope y-intercept form of the equation.
\(y=(\frac{1}{2}) x+4\)
What is the rise of y = 4/1 x -1
Answer:
4
Step-by-step explanation:
Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
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look at the pictureeee
Answer:
A
Step-by-step explanation:
184/16=11.5
Kacchan we were five-
Answer:
like we were five doeeeee
Step-by-step explanation:
Answer:
shut up deku!! i dont care how old we were!! you were a quirkless wannabe so get away from me u nerd!!
Step-by-step explanation:
im addicted to anime 0>0
8 Use prime factorization to find the LCM of 20 and 44,
O 64
0 220
880
Answer:
Th answer is 220
Step-by-step explanation:
if in one batch of cookies, you use 6 cups of dough and 2 cups of chocolate chips
how many cups of chocolate chips will you need to make two batches of cookies
Answer:
4cups of chocolate chips
Hope I helped
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2 cups times two recipes
2x2=4
Line k is parallel to line I.
which angle is congruent to <4
Answer:
∠4 ≅ ∠1
Step-by-step explanation:
they are vertical angles and vertical angles have the same measure
Answer:
<1 is equal to <4
Step-by-step explanation:
Alternate angles are equal.
Hope that this helps!
Which of the following is a sine of a in the right triangle below
Answer:
\(\frac{5}{13}\)
Step-by-step explanation:
sine of A = \(\frac{opposite}{hypotenuse}\)
opposite = 5
adjacent = 12
hypotenuse = 13
Answer:
C.) 12/13
Explanation:
trust me
Find the value of X round to the nearest tenth. I need help.
Answer:
x ≈ 22.1°
Step-by-step explanation:
Using the law of cosines, then
cosC = \(\frac{a^2+b^2-c^2}{2bc}\)
with a = 19, b = 14, c = 8 and C = x, thus
cos x = \(\frac{19^2+14^2-8^2}{2(19)(14)}\)
= \(\frac{361+196-64}{532}\)
= \(\frac{493}{532}\), thus
x = \(cos^{-1}\) (\(\frac{493}{532}\) ) ≈ 22.1° ( to the nearest tenth )
what is the 100th term in the sequence a¹= 222 and d= -5
The 100th term of the sequence is -273
Arithmetic sequenceArithmetic sequence is one derived from addition/subtraction of a constant term to find the next term. the constant term is usually called the common difference
first term a = 222
common difference, d = -5
nth term of an Arithmetic sequence. Tn = a + ( n - 1 ) d
T100 = a + ( 100 - 1 ) d
T100 = 222 + 99 * -5
T100 = -273
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Figure A is a scale image of Figure B. What is the value of x?
khan academy
Answer:
maybe 12 because
Step-by-step explanation:
30/25=1.2
10×1.2=12
Imagine you have two sets of 8 blocks, each measuring 1 cm along each edge. You arrange one set into a large cube, 2 blocks × 2 blocks × 2 blocks. You arrange the other set into a straight beam, 1 block × 8 blocks. Compared with the beam, the large cube has.
Compared with the beam, the large cube has the same volume but a smaller surface area.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Given that, there are two sets of eight blocks, each with an edge measurement of 1 cm. Two blocks are placed on top of two other blocks to form a big cube. You assemble the second set into a 1-by-8-block straight beam.
Since the volume is the same.
The surface area of a cube,
=6a²
=6(2)²
=6×4
=24 cm²
The surface area of a beam,
=1 × 8
=8 cm²
Thus, compared with the beam, the large cube has the same volume but a smaller surface area.
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A box contains 16 transistors, 3 of which are defective. If 3 are selected at random, find the probability of the statements below.a. All are defectiveb. None are defectiveWith, and without replacement
Given 16 transistors, 3 of which are defective, 13 are not defective
Part A: All are defective.
With replacement
\(\begin{gathered} P=\frac{3}{16}\cdot\frac{3}{16}\cdot\frac{3}{16} \\ P=\frac{27}{4096} \\ \\ \text{The probability that all are defective with replacement is }\frac{27}{4096} \end{gathered}\)Without replacement
\(\begin{gathered} P=\frac{3}{16}\cdot\frac{2}{15}\cdot\frac{1}{14} \\ P=\frac{143}{280} \\ \\ \text{The probability that all are defective without replacement is }\frac{1}{560} \end{gathered}\)Part B: None are defective
With replacement
\(\begin{gathered} P=\frac{13}{16}\cdot\frac{13}{16}\cdot\frac{13}{16} \\ P=\frac{2197}{4096} \\ \\ \text{Therefore, the probability that none are defective with replacement is }\frac{2197}{4096} \end{gathered}\)Without replacement
\(\begin{gathered} P=\frac{13}{16}\cdot\frac{12}{15}\cdot\frac{11}{14} \\ P=\frac{143}{280} \\ \\ \text{Therefore, the probability that none are defective without replacement is }\frac{143}{280} \end{gathered}\) primary school has 140 girls and 90 boys.
The probability that a girl wears glasses is 0.4
The probability that a boy wears glasses is 0.3
Estimate the number of pupils wearing glasses in the school.
Answer:
140*0.4=56
90*0.3=27
56+27=83
Hope This Helps!!!
Answer:
the answer is 6.5 people are wearing glasses that means that 6-7 people are wearing glasses
need help plsu
5-4x=6+2x
2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75. What value of x will make the triangles similar by the SSS similarity theorem? 1.5 20 30 67.5
Answer:
30
Step-by-step explanation:
yes I can tell what it is
The value of x that will make the two triangles similar by the SSS similarity theorem is: C. 30.
What is the SSS Similarity Theorem?According to the SSS similarity theorem, if all the three corresponding sides of two triangles are proportional or have the same ratio, then both triangles are similar.
If the two triangles are similar we would have:
75/50 = 45/x
Cross multiply and find x
x = (45 × 50)/75
x = 30
Thus, the value of x would be: C. 30.
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Given the quantities a=3.7m, b=3.7s, c=80m/s, what is the value of the quantity d=a^3/cb^2?
The value of the quantity d is 0.0462 m^2/s.
Here,
The quantities a=3.7m, b=3.7s, c=80m/s.
We have to find the value of d = a^3/cb^2
What is quantity?
A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.
Now,
The quantities a=3.7m, b=3.7s, c=80m/s.
The value of d;
\(d = \frac{a^{3} }{cb^{2} }\)
\(d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }\)
\(d = \frac{3.7}{80}\)
\(d = 0.0462\)
Hence, The value of the quantity d is 0.0462 m^2/s.
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What is the value of x in this proportion?
411=−3x+5
x=−1314
x=−912
x=−7
x=−314
Answer:
x= -13 1/4
Step-by-step explanation: I know it, please can I get brainly plus if you did it would be my first one
Answer: -13 1/4
Step-by-step explanation: Answer confirmed correct on test
Help I need this today before 12:50pm
1.
Answer:
<B ≅ <F
<C ≅ <G
<D ≅ <H
<A ≅ <E
Explanation:
Little tick marks are used to show that two sides are the same length (congruent). You can use just one tick mark, two or three, or more -- just as long as you use the same number on sides that are equal.
You make the little rounded sweep in the angle and then use tick marks to show which angles are the same size (have the same measure -- are congruent).
2.
Answer: x = 8 and y = 19
Explanation:
Triangle MLN ≅Triangle SRT
Therefore, each angle and side measure of one triangle are equal to the corresponding angle and side of the other triangle.
<M ≅ <S
<S= 93 (Given)
<M=93
<N=63 (Given)
Line segment ML ≅ Line segment SR
Line segment ML = 43
Line segment SR = 3x + y
Now, we need to find the values of x and y.
43 = 3x + y
<M+<N+<L=180 (Interior angles measure of a triangle is always 180)
93+63+z=180
156+z=180
z= 24
24 is the measure of <R.
<R=3x
24=3x
x=8
Now if we plug in the 8, the value of x, into our equation above,
43=3x+y
43=3(8)+y
43=24+y
43-24=y
19=y
3.
Answer:
<K ≅ <M
<J ≅ <N
<Q ≅ <P
<L≅ <L
Explanation:
Because all four interior angles are congruent to each other, these two quadrilaterals are equal to each other. Additionally, the side measurements of one shape are equal to the corresponding measurements of the other shape.
4.
Answer: What must be true about these two triangles is that triangle ABC and triangle DEF are equilateral triangles.
Explanation: This means that the measurement of all sides is equal and the measurement of all angles is also equal.
if the f1 f 1 are crossed to one another, what proportion of the f2 f 2 are expected to be tall and produce round fruit?
100% of the F2 generation plants are expected to be tall and produce round fruit.
The given information suggests that F1 and F1 represent heterozygous tall and round plants, respectively. When these two genotypes are crossed, we can predict the possible genotype and phenotype combinations of the offspring by using a Punnett square.
The Punnett square for this cross would be:
F1 F1
F2 F1F1 F1F1
F1F1 F1F1
From this square, we can see that all of the F2 generation plants will be homozygous for both tallness and roundness. This is because the F1 generation is heterozygous for both traits, so when they are crossed, the recessive alleles are masked by the dominant alleles.
Therefore, the genotype of all F2 plants will be F1F1, and they will all be tall and round.
In summary, 100% of the F2 generation plants are expected to be tall and produce round fruit.
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Which of the following statements are always true?
A trapezoid is a rhombus.
A trapezoid is a parallelogram.
A trapezoid is a quadrilateral.
A trapezoid is a rectangle.
Answer:
„A trapezoid is a quadrilateral.” ⇒ trueStep-by-step explanation:
This is a trapezoid. It is a quadrilateral with one pair of parallel sides while other sides are non-parallel. Here, the opposite angles are alternate, that is, they have together 180°.
Isosceles trapezoid
An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Here, the base angles are the same.
The line segment joining the midpoints of the parallel sides is perpendicular to the bases and the diagonals are the same in length.
Right-angled trapezoid
Trapezoid with two right angles and necongruent non-paralell sides.
Good luck:)