The best is B. Trish's credit score is a solid 525. A credit score of 525 is considered low, indicating a history of poor credit management, which can affect loan approvals. Lenders often use credit scores to assess an individual's creditworthiness and determine their ability to repay the loan.
While factors like debt-to-income ratio (DTI), being a single mom with three kids, and having a relatively low income can impact loan approvals, the credit score is a crucial factor. A credit score reflects an individual's credit history and their likelihood of repaying debts. With a credit score of 525, Trish's creditworthiness may be perceived as risky, resulting in the loan denial. Lenders prefer borrowers with higher credit scores, indicating a more reliable repayment history.
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a man starts walking north at 3 ft/s from a point p. five minutes later a woman starts walking south at 6 ft/s from a point 500 ft due east of p. at what rate (in ft/s) are the people moving apart 15 minutes after the woman starts walking? (round your answer to two decimal places.)
8.987 ft/s rate of people moving apart 15 minutes after the woman starts walking.
What is Chain Rule in Derivative?The chain rule is a formula used in differential calculus to determine the derivative of a composite function.
If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'.
Given:
dx/ dt = 4 ft/s, dy/dt = 5 ft/s
So, z²= ( x + y)² + 500²
Using Chain Rule
2z dz/dx = 2(x+ y) ( dx/dt + dy/dt) + 500
Now, 15 minutes after women starts
= 4 x 20 x 405
= 4800 ft
and, y = 5 x 15 x 605
= 4500 ft
and, z= 4500+ 4800 /√(4500+ 4800)² + 500² (4+ 5)
z=9300/ 9,313.43 x 9
z= 8.987
Hence, 8.987 ft/s rate of people moving apart 15 minutes after the woman starts walking.
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Are the expressions -0.5(3r+ 5) and -1.5r+2.5 equivalent? Explain why or why not.
The 2 expressions are equivalent, if they gave the same simplest from
Let us simplify each one, then see if they are equal or not
\(\because L.H.S=-0.5(3r+5)\)Multiply -0.5 by each term in the
What else would need to be congruent to show that ASTU AJKL by SAS?
The missing information for the SAS congruence theorem is given as follows:
B. SU = JL.
What is the Side-Angle-Side congruence theorem?The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.
The congruent angles for this problem are given as follows:
<S and <J.
Hence the proportional side lengths are given as follows:
ST and JK -> given.SU and JL -> missing.More can be learned about congruence theorems at brainly.com/question/3168048
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What type of line is the graph of y = 7?
Answer:
unproportional
Step-by-step explanation:
What is the greatest common denominator of 24 and 25
Answer:
1
Step-by-step explanation:
The only number 24 and 25 can both have is 1
write a quadratic function from its vertex and another point
To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. Substitute the coordinates of the vertex and the other point into the vertex form to find the value of a. Then, substitute the value of a back into the vertex form to get the quadratic function.
To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. In this form, (h, k) represents the coordinates of the vertex of the parabola.
Let's say the vertex of the quadratic function is (h, k) and the other point is (x1, y1). We can substitute these values into the vertex form to find the value of a.
Substituting the vertex coordinates, we get:
f(h) = a(h-h)^2 + k
f(h) = k
Substituting the coordinates of the other point, we get:
f(x1) = a(x1-h)^2 + k
Now, we have two equations:
k = a(0)^2 + k
y1 = a(x1-h)^2 + k
From the first equation, we can see that k = k, which is always true. Therefore, we can ignore this equation.
From the second equation, we can solve for a:
y1 - k = a(x1-h)^2
a = (y1 - k) / (x1-h)^2
Now that we have the value of a, we can substitute it back into the vertex form to get the quadratic function:
f(x) = a(x-h)^2 + k
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duke earned $250 washing cars last summer. he spent all of his earning on a new stereo and a new bike. if he paid $190 for the stereo, what percent of his summer earnings did he soend on his bike
Answer: 24%
Step-by-step explanation: First find the percentage of the stereo.
190/250 = 0.76 of 76%
Then subtract 76% from 100% or subtract 190 from 250.
250 - 190 = 60 then 60/250 = 0.24 or 24%
Duke spent 24% of his earnings on his bike.
Charge Q
1. =6.0nC is at (0.30 m,0), charge Q
2 =−1.0nC is at (0,0.10 m), and charge Q
3 =5.0nC is at (0,0). What is the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges? (k=8.99×10^9 N⋅m^2C ^2 )
The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.
The value of the net electrostatic force on the 5.0-nC
charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),
charge Q2 = −1.0 nC is at (0, 0.10 m), and
charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:
Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),
Charge Q2 = -1.0 nC is at (0, 0.10 m),
Charge Q3 = 5.0 nC is at (0, 0)
The formula to find out the force on the third charge Q3 is:
F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2
Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC
For the third charge Q3, the distance from Q1 is:
r1 = √(0.3^2 + 0^2) = 0.3 m
And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m
Substituting all the given values in the formula:
F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N
Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.
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Antwan determines the distance between the points –7 and 2 on a numberline. Maggie determines the difference between the numbers –7 and 2. How are Antwan’s and Maggie’s solutions related?
Answer:
680000
Step-by-step explanation:
Answer:
Antwan determines the distance between the points –7 and 2 on a numberline. Maggie determines the difference between the numbers –7 and 2. How are Antwan’s and Maggie’s solutions related?
Step-by-step explanation:
find dy/dx by implicit differentiation. y sin(x2) = x sin(y2)
The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).
In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.
Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.
Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.
Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.
Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.
By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.
Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).
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4) The line shown represents the amount of money
left on a gift card, y, after Mina buys lattes. After
buying 2 lattes, she has $2 left. What is an
equation of the line in point-slope form?
Answer:
\( y - 2 = -3(x - 2) \)
Step-by-step explanation:
The equation of the line in point-slope form is given by the formula, \( y - b = m(x - a) \), where,
(a, b) = coordinates of a point on the line.
\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} \)
Given that after buying 2 lattes, she has $2 left, this represents a point on the line which is (a, b) = (2, 2). That is, when x = 2 lattes, y = $2.
Let's find the slope using the point (2, 2) and any other point on the line, say at x = 1, when y = 5, that's (1, 5).
\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 2}{1 - 2} \)
\( = \frac{3}{-1} \)
\( m = slope = -3 \)
Plug m = -3, a = 2, and b = 2 into point-slope form.
\( y - b = m(x - a) \)
\( y - 2 = -3(x - 2) \)
Find a polar equation for the curve represented by the given Cartesian equation. x2+y2=25. x2+y2=−8y. y=√3x
The polar equation for this curve is: theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))
To find the polar equation for the curve represented by the given Cartesian equations, we can use the conversion formulas between Cartesian and polar coordinates.
\(x^2 + y^2 = 25:\)
In polar coordinates, the conversion formulas are:
x = r cos(theta)
y = r sin(theta)
Substituting these values into the equation \(x^2 + y^2 = 25:\)
\((r cos(theta))^2 + (r sin(theta))^2 = 25\)
\(r^2 (cos^2(theta) + sin^2(theta)) = 25\)
\(r^2 = 25\)
The polar equation for this curve is simply:
r = 5
\(x^2 + y^2 = -8y:\)
In polar coordinates:
x = r cos(theta)
y = r sin(theta)
Substituting these values into the equation \(x^2 + y^2 = -8y:\)
\((r cos(theta))^2 + (r sin(theta))^2 = -8(r sin(theta))\)
\(r^2 (cos^2(theta) + sin^2(theta)) = -8r sin(theta)\)
\(r^2 = -8r sin(theta)\)
The polar equation for this curve is:
r = -8 sin(theta)
y = sqrt(3) x:
In polar coordinates:
x = r cos(theta)
y = r sin(theta)
Substituting these values into the equation y = sqrt(3) x:
r sin(theta) = sqrt(3) (r cos(theta))
r sin(theta) = sqrt(3) r cos(theta)
tan(theta) = sqrt(3)
The polar equation for this curve is:
theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))
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1) Malik has some acorns. He collects 5 more acorns.
Now Malik has 12 acorns.
How many acorns did Malik start with?
Answer:
7 Acorns
Step-by-step explanation:
12 acorns - 5 acorns = 7 acorns
In March, an American tourist changed US $1000 into Jamaican currency. Calculate the amount of JM dollars he received. USD $1.00 = JMD $146
a. $0.146
b. $146,000
c. 104,600
d. 150,000
Answer:
B. 146,000
Step-by-step explanation:
can someone please help!
in a geometric series, the sum of the first three terms is 14.25 and the sum of the first four terms is 24.375. find the exact value of the first term and the common ratio. give your answer in the format ‘u1,r’, without spaces.
The first term of the Geometric Series = 3 and its common ratio = 3/2.
What is a geometric Series?An unlimited number of terms with a fixed ratio between each term make up a geometric series.
For 'n' termed GP with a = first term and r = common ratio, \(S_{n}=\frac{a(r^{n}-1)}{r-1}\)
Given:
Sum of first three terms of a G.P. = 14.25Sum of first four terms of the G.P. = 24.375To find: First term of the GP and the common ratio.
Finding:
As, \(S_{n}=\frac{a(r^{n}-1)}{r-1}\), for n =3,
\(S_{3}=\frac{a(r^{3}-1)}{r-1}=14.25\) (eqn 1)
=> Similarly for n = 4,
\(S_{4}=\frac{a(r^{4}-1)}{r-1} = 24.375\)
On dividing \(S_3 by S_4\), we get:
\(\frac{14.25}{24.375}=\frac{r^{3}-1}{r^{4}-1}\)
=> On solving the equations, we get:
\(14.25r^{4}-24.375r^{3}+10.125=0\)
r = 3/2 (on factorizing the equation)
Now, substituting this in eqn 1
=> \(14.25=\frac{a((\frac{3}{2})^{2}-1)}{\frac{3}{2}-1}\)
=> a = 3 on further solving the equation for a.
Hence, the first term of the Geometric Series = 3 and its common ratio = 3/2.
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Over a ten-year period, the average price of a gallon of milk increased from $1.13 per gallon to $1.63 per gallon. To the
nearest percent, how much did the price of a gallon of milk increase?
14%
B 31%
C) 44%
D 69%
Answer:
c
Step-by-step explanation:
PLASE HELPpp it’s due before midnight. change to scientific notation
Q1: 9.6 x 10'7 =
Q2: 2 x 10'-6 =
Answer: Q1: 9.6e7
Q2: 2e-6
Step-by-step explanation: All you do is pretend the 10 insent their and and the e between the first set of numbers and the second number on the second set of numbers. Hope this helped!!!
i really dont understand this question, help? i dont need steps or anything
Answer:
Step-by-step explanation:
135 degrees is an exterior angle. meaning the interior angle is 45. meaning x is 45 because of the isosceles triangle theorem that states if two sides are equal on a triangle then their angles opposite those are congruent. a triangle measures up to 180 in general. so 45 plus 45 is 90. 180 minus 90 is 90. so angle x is 45 and angle y is 90
15 out of 60 markers are blue. What percent of the markers are blue?
How will we solve this problem?
Answer:
Step-by-step explanation:
if 15 out of 60 markers are blue
the percentage is 15/60=1/4
0.25*100=25%
Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio proportional to the middle schools. How many students will Cristine find when she gets to high school?
A) 900
B) 1100
C) 2200
D) 2500
Answer: C) 2200
Step-by-step explanation:
what is the value of 4^-2? Leave your answer in fraction form of necessary.
Answer:
1/16
Step-by-step explanation:
We know that a^ -b is equal to 1 / a^b
That means
4^-2 = 1/ 4^2 = 1/16
Answer:
\(4^{-2} \\= \frac{1}{4^{2} } \\= \frac{1}{16} \\\)
The property used here is \(a^{-m} = \frac{1}{a^{m} }\)
Angie runs 7 mph for the first half of a marathon, 13.1
miles, but twists her knee and must walk 2 mph for the
second half. What was her average speed? Round to 2
decimal places.
Answer:
Step-by-step explanation:
For the first half of the Marathon, we need to find the time.
t = d/r
r = 7 mph
d = 13.1
t = 13.1 / 7
t = 1.87 hours.
For the second half of the Marathon we need the time as well.
t = d/r
r = 2 mph
d = 13.1
t = 13.1 / 2
t = 6.55 hours.
Now to find the average speed, you will need the total time and the total distance
Total distance = 13.1 + 13.1 = 26.2 miles
Total time = t1 + t2
Total time = 1.87 hours + 6.55 hours.
Total time = 8.42
average speed = Total Distance / total time
average speed = 26.2 / 8.42 = 3.11 miles per hour
Which expression is equal to c- 0.25c
(5 ^ 11)/(5 ^ ?) = 5 ^ 4
Answer:
200
Step-by-step explanation:
55 / 5x = 20
5x=1100
x=200
People pack seeds into foils and store them in a seed vault. Each foil contains 500 seeds. If the vault has 145,000 seeds altogether, how many foils are in the vault?
Step-by-step explanation:
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Answer:
290 foils
Step-by-step explanation:
145,000÷500=290
Simplify the expression: 3(4d + 1)
Answer:
12d+3
Step-by-step explanation: multiply 3x4d and 3x1 and you get 12d+3
Answer:
12d + 3
you have to multiply 3 times both of the numbers
☆ please help! I got an answer but I think its wrong ☆
Answer:
-3,5,-10,16
Step-by-step explanation:
Factor y^3+512 completely.
Perform the operation. Enter your answer in scientific notation.
(7 x 10^*9)(5.6 x 10^*8)
Answer:
3.92 × 10 ^18
Step-by-step explanation:
(7 x 10^*9)(5.6 x 10^*8)
(7000000000)(560000000)
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
If the decimal is moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.