Answer: No, Chaz is not correct. Although their balances are both negative, we cannot compare them simply based on their numeric values. The magnitude of the balance does not indicate who owes more to the bank, as it depends on various factors such as account activity, fees, and interest rates. We would need to know more information about their accounts, such as the interest rates and any fees, in order to determine who owes more to the bank.
Excluding the bank fees Chaz would technically be correct.
No, Chaz is not correct.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
No, Chaz is not correct.
Although both Chaz and Will have negative checking account balances, we cannot determine who owes more to the bank based solely on the balance amount.
The balance amount only indicates how much money they owe to the bank, but it does not give any information about the amount they initially deposited or any other financial transactions they may have made.
To determine who owes more to the bank, we would need to know the initial deposit amount, the transaction history, and any fees or interest charges that have been applied to the accounts.
Without this additional information, we cannot accurately compare the two balances or determine who owes more to the bank.
Thus,
No, Chaz is not correct.
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find the coordinates of p so that p partitions segment ab in the part-to-whole ratio of 1 to 5 with a(-9, 3) and b(1, 8)
The coordinates of p so that p partitions segment ab in the part-to-whole ratio of 1 to 5 with a(-9, 3) and b(1, 8) is (-44/6, 23/6).
To find the coordinates of point P, we can use the following formula:
P = ( (5 x Ax + 1 x Bx) / 6 , (5 x Ay + 1 x By) / 6 )
Here, Ax and Ay are the x and y coordinates of point A, and Bx and By are the x and y coordinates of point B. By plugging in the values we have, we get:
P = ( (5 x (-9) + 1 x 1) / 6 , (5 x 3 + 1 x 8) / 6 )
P = ( (-45 + 1) / 6 , (15 + 8) / 6 )
P = ( -44/6 , 23/6 )
So the coordinates of point P are (-44/6, 23/6).
To check if we got the right answer, we can measure the distance between A and P and the distance between P and B, and make sure that the ratio is indeed 1 to 5. We can use the distance formula for this:
Distance between A and P:
√( (-9 - (-44/6))² + (3 - 23/6)² )
= √( (35/6)² + (5/6)² )
= √( 1225/36 + 25/36 )
= √( 1250/36 )
= 5/6 x √(50)
Distance between P and B:
√( (1 - (-44/6))² + (8 - 23/6)² )
= √( (55/6)² + (41/6)² )
= √( 3025/36 + 1681/36 )
= √( 4706/36 )
= 5/6 x √(94)
The ratio of the distance between A and P to the distance between P and B is:
(5/6 x √(50)) / (5/6 x √(94)) = √(50/94)
Simplifying this gives us:
√(50/94) = √(25/47)
The ratio of the distances is indeed 1 to 5, which confirms that our answer for the coordinates of P is correct.
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Brandi has a deck of 12 cards labeled A through L. Brandi draws a card from the deck and returns it, then draws a card again. What is the theoretical probability that Brandi draws a card with a vowel both times?
A) 6.25%
B) 2.08%
C) 25%
D) 75%
Answer: The probability of drawing a vowel from a deck of 12 cards is 5/12, since there are 5 vowels (A, E, I, O, U) and 12 cards in total.
Since Brandi returns the first card drawn to the deck before drawing the second card, the outcome of the first draw does not affect the outcome of the second draw. Therefore, we can treat the two draws as independent events.
The probability of drawing a vowel on the first draw is 5/12, and the probability of drawing a vowel on the second draw is also 5/12. Since we want to find the probability of both events happening (drawing a vowel both times), we can multiply the probabilities:
P(vowel on both draws) = P(vowel on first draw) * P(vowel on second draw)
= (5/12) * (5/12)
= 25/144
Therefore, the theoretical probability that Brandi draws a card with a vowel both times is 25/144, which is approximately 0.1736 or 17.36%.
So the closest answer choice is B) 2.08%.
Step-by-step explanation:
p(s) = s³ + 10s
f(s) = 6s - 3
Find p(2)-f(2)
Answer:
19
Step-by-step explanation:
We are given the following two functions of s
[tex]p(s) = s^3 + 10s\\f(s) = 6s - 3\\\\\text{To find p(2) substitute 2 for s in p(s)}\\p(2) = (2)^3 + 10(2) = 8 + 20 = 28\\\\[/tex]
[tex]\text{To find f(2) substitute 2 for s in f(s)}\\f(2) = 6(2) - 3= 12 - 3= 9\\[/tex]
[tex]p(2) - f(2) = 28 - 9 = 19[/tex]
can someone help please thank you. please
Answer:
1. Volume: 912 cm³
Surface Area: 672 cm²
2. Volume: 1239 1/3 cm³
Surface Area: 819 cm²
3. Volume: 216 2/3 cm³
Surface Area: 240 cm²
Step-by-step explanation:
Formula for Volume of a Pyramid: [tex]\frac{1}{3} * lwh[/tex]
(where l, w, and h are the length, width, and height, respectively)
Formula for Surface Area of a Square Pyramid: [tex]B + \frac{1}{2} ps[/tex]
(where B is the area of the base, p is the perimeter of the base, and s is the slant height)
1 (Volume) - V = (1/3)(12)(12)(19)
= (4)(12)(19)
= 912 cm³
1 (Surface Area) - SA = (12)(12) + (1/2)(4)(12)(22)
= 144 + 528
= 672 cm²
2 (Volume) - V = (1/3)(13)(13)(22)
= 1239 1/3 cm³
2 (Surface Area) - SA = (13)(13) + (1/2)(4)(13)(25)
= 169 + 650
= 819 cm²
3 (Volume) - V = (1/3)(10)(10)(6.5)
= 216 2/3 cm³
3 (Surface Area) - SA = (10)(10) + (1/2)(4)(10)(7)
= 100 + 140
= 240 cm²
Simplify (number on picture) to an expression involving a single trig function with no fractions. If needed, enter squared trigonometric expressions using the following notation
Step-by-step explanation:
[tex] \frac{1 - \ { \sin(t) }^{2} } { { \sin(t) }^{2} } = \frac{1} { { \sin(t) }^{2} } - \frac{{ \sin(t) }^{2}}{{ \sin(t) }^{2}} \: = \frac{1} { { \sin(t) }^{2} } - 1[/tex]
[tex] = { \sin(t) }^{ - 2} - 1[/tex]
hope this helps
Correct to 3 significant figures, the of 18.75-(2.11)2
Answer: 14.5
Step-by-step explanation:
When there is a decimal point, you start counting from the left any number that is not zero. If the zero is at the end, then you count it.
For example, if the answer is 0.000145 then the number of significant figures is still three because you start counting from the first nonzero number from the left.
If the answer is 14.50, then the number of significant figures is four because you start counting from the first nonzero number from the left.
14.53 is the answer to the equation but because you want to correct it to 3 significant figures, you round down because 3 is less than 5 and 14.5 ends up being the final answer.
K
Factor the four-term polynomial by grouping.
x³ +9x² + 3x + 27
The factorization of the polynomial x³ + 9x² + 3x + 27 by grouping is:
x³ + 9x² + 3x + 27 = (x + 9)(x² + 3)
What is grouping?In algebra, "grouping" refers to a method of factoring polynomials that involves grouping together pairs of terms within the polynomial, in order to factor out a common factor.
What is polynomial?In mathematics, a polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
In the given question,
To factor the four-term polynomial by grouping, we can follow these steps:
Step 1: Group the first two terms and the last two terms together.
x³ + 9x² + 3x + 27
= (x³ + 9x²) + (3x + 27)
Step 2: Factor out the common factor from each group.
= x²(x + 9) + 3(x + 9)
Step 3: Notice that the expression (x + 9) is a common factor of both terms, and factor it out.
= (x + 9)(x² + 3)
Therefore, the factorization of the polynomial x³ + 9x² + 3x + 27 by grouping is:
x³ + 9x² + 3x + 27 = (x + 9)(x² + 3).
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IF A SOUP RECIPE YIELDS 20 GALLONS, HOW MANY 5-FLUID OUNCE PORTIONS WILL THE RECIPE YIELD?
The number of 5 fluid ounce portions needed in 20 gallons is a total of 512 portions
Calculating the number of ounce portions neededTo solve this problem, we first need to convert the volume of the soup recipe from gallons to fluid ounces, and then divide by the size of each portion to find the total number of portions.
Given that
1 gallon = 128 fluid ounces
Therefore, the recipe yields:
20 gallons x 128 fluid ounces per gallon = 2560 fluid ounces
Now, we can find the number of 5-fluid ounce portions by dividing the total volume by the portion size:
2560 fluid ounces / 5 fluid ounces per portion = 512 portions
Therefore, the soup recipe yields 512 portions of 5 fluid ounces each.
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[tex] \frac{4}{12} \times 3[/tex]
Can you tell me the answer for this .
Answer:
1
Step-by-step explanation:
[tex]\frac{4}{12}[/tex] x 3 = 12/12 = 1
QUICK ANSWER THIS PLEASE What is the constant of proportionality between the corresponding areas of the two pieces of wood?
3
6
9
12
Answer:
Step-by-step explanation:
D
PLEASE HELP ASAP!! 25 POINTS AND BRAINLIEST
Answer: 62°
Step-by-step explanation:
All angles of a triangle add up to 180°.
So, add up all the other angles.
15 + 25 + 39 = 79
180 - 79 = 101
Then, to find x, subtract 39 from 101, to get 62!
Find the missing length indicated
The value of x is 5
Define the term Similar triangles?Triangles with the same shape but different sizes are said to be similar triangles. To be more specific, two triangles are comparable if their respective sides are proportionate and their corresponding angles are congruent.
Two triangles are similar if corresponding angles are congruent and corresponding sides are proportional.
from the below figure, both the triangles are similar, ∆ABC ≈ ∆EFB
By using Thales's theorem, the ratio of the sides of triangles are;
BE/EA = BF/FC
15/30 = x/10
x = 5
Therefore the value of x is 5
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The ratio of triangle sides can be calculated using Thales' theory, and it is the value of x is 5
Define the term Similar triangles?Similar triangles are those with the same shape but varying sizes. To be more precise, two triangles are comparable if their matching angles and respective sides are congruent.
If matching sides are proportional and corresponding angles are congruent, two triangles are similar.
Both triangles in the following figure are comparable ∆ABC ≈ ∆EFB
The ratio of triangle sides can be calculated using Thales' theory, and it is;
BE/EA = BF/FC
15/30 = x/10
x = 5
Therefore the value of x is 5
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how do you find the simplest radical form for this please help me i got a (f) and i really need help that’s why i’m up this late trying to do all of my missing assignments.
Answer:
[tex]14 {y}^{2} \sqrt{ {x}^{3} {z}^{9} }[/tex]
Step-by-step explanation:
[tex] \sqrt{196 {x}^{3} {y}^{4}{z}^{9} }= \sqrt{196} \times \sqrt{ {x}^{3} } \times \sqrt{ {y}^{4} } \times \sqrt{ {z}^{9} } \\ \sqrt{196} = 14 \\ \sqrt{ {x}^{3} } = {x}^{ \frac{3}{2} } \\ \sqrt{ {y}^{4} } = {y}^{2} \\ \sqrt{ {z}^{9}} = {z}^{ \frac{9}{2} }[/tex]
A fractional exponent is not necessarily simpler so just take out the 1st and 3rd parts of the term which simplify nicely:
[tex] \sqrt{196 {x}^{3} {y}^{4}{z}^{9} } = 14 {y}^{2} \sqrt{ {x}^{3} {z}^{9} } [/tex]
Write the slope-intercept form of the equation of the line.
Answer:
y = x + 2
Step-by-step explanation:
The slope intercept form is y = mx + b
m = the slope
b = y-intercept
Slope = rise/run or (y2 - y1) / (x2 - x1)
Pick 2 points (0,2) (-2, 0)
We see the y decrease by 2, and the x decrease by 2, so the slope is
m = -2 / -2 = 1
Y-intercept is located at (0,2)
So, the equation is y = x + 2
Which of these act as an unbalanced force to stop objects in motion? Choose more than one answer.
A catapult, seatbelt, parachute, safety net, or unbalanced force can be used to stop moving objects.
What is unbalanced force to stop objects in motion?When a seatbelt is fastened during sudden braking or a crash, it exerts pressure on the passenger's body and prevents them from moving forward.
Similar to this, when a parachute is opened, a significant amount of air resistance force is generated, slowing the wearer's descent.
A safety net exerts force on an object that is falling on it as well, absorbing the kinetic energy and stopping it.
A catapult can apply a significant unbalanced force that can halt an object in motion by quickly transferring energy from its springs or elastic materials to the target.
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Find the distance from Link to the Octorok so Link can attack
The distance from Link to the Octorok is 10.63 units.
How to find the distance?We know that the distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula below:
distance = √( (x₂ - x₁)² + (y₂ - y₁)²)
Here we want to find the distance from Link to the Octorok so Link can attack, so we need to get the distance between the points (-4, -5) and (3, 3).
The distance will be:
distance = √( (3 + 4)² + (3 + 5)²)
distance = √( (7)² + (8)²)
distance = √113
distance = 10.63
The distance is 10.63 units.
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a point is chosen at random on ak. what is the probability that the point will be on bg. dont forget to reduce
there is a 20% chance that the point chosen at random will lie on bg.
To find the probability that a point chosen at random will be on the line segment bg, we need to consider the length of bg in relation to the length of the entire line segment ak.
Let us assume that ak is a straight line segment, and bg is a smaller segment that lies entirely within it. To find the probability, we need to divide the length of bg by the length of ak.
Let the length of bg be x and the length of ak be y. Then the probability that a point chosen at random will be on bg is:
Probability = Length of bg / Length of ak
Probability = x / y
However, we need to be careful here. If we choose a point anywhere on ak, it may not necessarily lie on bg. There are an infinite number of points on ak, but only one segment bg. Therefore, the probability we are looking for is actually the ratio of the lengths of bg to ak.
So, if we know the lengths of bg and ak, we can find the probability by dividing them. For example, if bg is 2 units long and ak is 10 units long, the probability of choosing a point on bg is:
Probability = 2 / 10
Probability = 0.2 or 20%
In this case, there is a 20% chance that the point chosen at random will lie on bg.
In conclusion, the probability of a point chosen at random on ak being on bg is directly proportional to the length of bg in relation to the length of ak. Therefore, we need to find the ratio of the lengths of the two line segments to determine the probability.
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what is the probability a point is chosen at random on ak and then the point will be on bg. dont forget to reduce the products?
Determine the relationship between the two triangles and whether or
not they can be proven to be congruent.
The two triangles are related by_____, so the triangles______
The two triangles are related by SAS criteria, so the triangles are congruent.
What are congruent triangles?Congruent triangles are triangles that are precisely the same size and form. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent. Corresponding portions are those areas of the two triangles that share the same dimensions (are congruent). This indicates that corresponding triangle parts are congruent (CPCTC).
From the given figure we observe for that the two triangles two sides and the corresponding angle of 90 degree is similar.
Thus, using the SAS criteria we see that the two triangles are equal.
Hence, the two triangles are related by SAS criteria, so the triangles are congruent.
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he buys a 5kg lwisa samp and repacks the samp into 125g packets. determine how many packets will be able to get from one pack of 5kg samp?
Answer:5
Step-by-step explanation:5555555
A researcher tests whether smoking by parents influences children’s attitudes toward smoking behavior.
Independent Variable: ________
Quasi-Independent Variable: ________
Dependent Variable: ________
Answer:
Independent Variable: Smoking
Quasi-Independent Variable: Parents to Children (Assuming that the researcher purposely manipulated it, otherwise there is none.)
Dependent Variable: Children's attitudes toward smoking behavior
He has 2 pens. His friend gives him 2 more pens. How many pens he has?
Answer:
4 pens.
Step-by-step explanation:
Now he has 2 pens.
Then his friend gives him two more.
As a sum, that's:
2 + 2 = 4 pens.
Answer:
He has 4 pens now.
Step-by-step explanation:
2+2=4
Given: -4+16-64 +256..., Sn=3,276
Find the number of terms in the series.
There are 4 terms in the series.
what is an arithmetic sequence?
An arithmetic sequence is a sequence of numbers where each term is equal to the previous term plus a fixed constant difference, called the common difference.
The given series is an arithmetic sequence with a common difference of 16. We can find the first term by plugging in n=1 into the sequence:
a1 = -4 + 16(-1)^1 = -4 + 16 = 12
Using the formula for the sum of an arithmetic sequence, we have:
Sn = n/2(2a1 + (n-1)d)
where n is the number of terms, a1 is the first term, and d is the common difference. Plugging in the given values, we have:
3276 = n/2(2(12) + (n-1)(16))
Simplifying this equation, we get:
3276 = n/2(28 + 16n - 16)
3276 = n/2(12 + 16n)
Multiplying both sides by 2 and rearranging, we get:
6544 = n(6 + 8n)
Dividing both sides by 2, we get:
3272 = n(3 + 4n)
We can see that n must be an even number, since the left side is even. We can also see that n cannot be too large, since the right side increases much faster than the left side. Trying some even values of n, we find that:
n=8 -> 3272 = 8(3 + 4(8)) is false
n=6 -> 3272 = 6(3 + 4(6)) is false
n=4 -> 3272 = 4(3 + 4(4)) is true
Therefore, there are 4 terms in the series.
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Determine the slope from the table given below.
Answer:
m = 6
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
Pick 2 points on the table (4,6) (5,12)
We see the y increase by 6 and the x increase by 1, so the slope is
m = 6
So, the slope is 6
If A = [ 1 2 4 0 5 6 ] and B= [ 7 3 2 5 1 9] find C= A+B and D=A-B
Step 1: Arrange the arrays so that A and B are in the same order: A = [ 1 2 4 0 5 6 ], B = [ 7 3 2 5 1 9]
Step 2: To find C = A+B, add each element of A and B together.
C = [1+7, 2+3, 4+2, 0+5, 5+1, 6+9]
C = [8, 5, 6, 5, 6, 15]
Step 3: To find D = A-B, subtract each element of B from A.
D = [1-7, 2-3, 4-2, 0-5, 5-1, 6-9]
D = [-6, -1, 2, -5, 4, -3]
Find the derivative of the function g(t), below. It may be to your advantage to simplify before differentiating. g(t)=tan(ln(t)) g'(t)=
The derivative of the function g(t) = -2tsint - sint + 2tcost.
In mathematics, the derivative of a function of a real variable measures the sensitivity of the function's value (the output value) to changes in its independent variable (the input value). Derivatives are a fundamental tool of calculus. The process of finding derivatives is called differentiation. The reverse process is called retro differentiation.
The fundamental theorem of calculus associates inverse differentiation with integration. Differentiation and integration form the two basic operations in univariate calculus.
Given that:
g(t) = tan(ln(t)) g'(t)
Now, Differentiating for the first time:
(t²+1) d/dt (sin t) + Sin t d/dt (t²+1)
= (t²+1) cos t + sint (2t)
Now,
h'(t) = t²cos t + cost + 2tsint
Differentiating again:
h''(t) = d/dt (t²cos t) + d/dt (cost) + d/dt (2tsint)
= -2tsint - sint + 2tcost
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Help find each measure
The answer of the given question based on finding each measure of a circle the answer is , (a) m(MNP) = 12.5° degrees , (b) m(KL) = 102.5° degrees , (c) m(KJ) = 52.5° degrees , (d) m(JN) = 102.5° degrees , (e) m(JLM) = 12.5° degrees.
What is Arc?In geometry, arc is a portion of curved line that can be thought of as segment of circle. It is defined by two endpoints on circle and the arc itself is the part of circle between those two points. An arc can be measured in degrees, and its measure is equal to central angle subtended by arc. The length of arc can also be calculated using the formula L = rθ, where L is length of arc, r is radius of circle, and θ is angle (in radians) subtended by arc at center of circle.
Using the properties of angles and arcs in circles:
a. Angle MNP is inscribed in arc MP, so m(MNP) = 1/2m(MP) = 1/2(25) = 12.5° degrees.
Since angles NPM and MPK are vertical angles, we have m(MPK) = m(NPM) = m(MNP) = 12.5° degrees. Then, m(MN) = m(MPK) + m(KPM) = 12.5 + 40 = 52.5° degrees.
b. Angle LKP is inscribed in arc LP, so m(LKP) = 1/2m(LP) = 1/2(25) = 12.5° degrees.
Since angles PKL and LKN are vertical angles, we have m(PKL) = m(LKN) = m(LKP) = 12.5° degrees. Then, m(KL) = m(PKL) + m(PKC) = 12.5 + 90 = 102.5° degrees.
c. Angle PKJ is inscribed in arc PJ, so m(PKJ) = 1/2m(PJ) = 1/2(25) = 12.5° degrees.
Since angles LPK and LPJ are vertical angles, we have m(LPK) = m(LPJ) = m(PKJ) = 12.5° degrees. Then, m(KJ) = m(LPK) + m(LPJ) = 12.5 + 40 = 52.5° degrees.
d. Angle JNM is inscribed in arc JM, so m(JNM) = 1/2m(JM) = 1/2(25) = 12.5° degrees.
Since angles KJM and KJN are vertical angles, we have m(KJM) = m(KJN) = m(JNM) = 12.5° degrees. Then, m(JN) = m(KJM) + m(MJN) = 12.5 + 90 = 102.5° degrees.
e. Angle JLM is an inscribed angle that intercepts arc JM, so m(JLM) = 1/2m(JM) = 1/2(25) = 12.5° degrees.
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I need help with this
Answer: a
Step-by-step explanation: because a is my name
ivnqa1o
just now
Mathematics
College
Martin has a spinner that is divided into four sections labeled A, B, C, and D. He spins the spinner twice. PLEASE ANSWER THE BOXES ORDER AND RIGHT, HELP EASY THANK UU
Question 1
Drag the letter pairs into ALL the boxes to correctly complete the table and show the sample space of Martin's experiment. PLEASE LIST ALL ORDERSS
Answer: Below.
Step-by-step explanation:
To find each we must use the left side to put the first letter. The top for the right letter.
First row - AA
Second row - CB
Third row - CD
Fourth row - BD
The length of each side of a square is 30 cm. If the length of its sides are now decreased by 20%, find the percentage decrease in the area of the square.
Answer:
80%
Step-by-step explanation:
each side of a square is 30 cm.
decreased by 20%.
find the percentage decrease in the area of the square.
20%x4side= 80%
Eric and Erica collect phone cards, and their phone
cards are in a ratio of 3:4. If Erica has 14 more phone
cards than Eric, how many cards does Eric have?
Answer:
18.67
Step-by-step explanation:
my calculate ratio results