Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Tyler borrowed $2,000 at an 11.5% simple interest rate. What is the total amount Tyler will pay back at the end of 5 years?
Answer: $3,150.00
Step-by-step explanation:
[tex]Formula: A=P(1+rt)[/tex]
Where;
A = amount
P = principal ($2,000)
r = rate (11.5% or 0.115)
t = time (5 years)
Plug this into the formula
[tex]A=(2000)(1+(0.115)(5))\\A=(2000)(1+0.575)\\A=(2000)(1.575)\\A=3150[/tex]
sally states that a triangle can only have one obtuse or right angle however a triangle must have at least to acute angles is sally correct explain
Answer: Yes, Sally is correct.
Step-by-step explanation: Both of Sally's statements are mathematically correct, because to begin with the total of the sum of angles in a triangle is always equal to 180 degrees. An acute angle is less than 90 degrees and that means we can calculate three acute angles from a triangle.
Also an obtuse angle is greater than 90 degrees, but less than 180 degrees. That means, a triangle cannot have more than one obtuse angle. If for instance a triangle has an angle measuring 91 degrees (obtuse angle), then the other two angles will be divided between the remainder which is 89 degrees.
Also a triangle can only have one right angle (which measures 90 degrees). This implies that, in a right angled triangle, there cannot be another 90 degree angle, because that would reduce the shape to two angles only (which is not possible).
A triangle can contain at least two acute angles (and at most three acute angles) and all three angles in either case must add up to 180 degrees.
Please refer to the picture attached for more information.
Answer:
Yes Sally is correct
Step-by-step explanation:
We note that an obtuse angle = Angle larger than 90°
Acute angle = Angle lesser than 90°
Sum of angles in a triangle = 180°
Number of angles in triangle = 3
Therefore, assuming the angles in the triangle are A, B and C where C is obtuse or at least 90°, then we have;
C ≥ 90° therefore taken as obtuse
A + B + C = 180°
A + B = 180° - C
∴ A + B = 180°- (≥90°) = ≤90°
Hence A + B ≤ 90°
Which means A and B are less than 90°, therefore both acute
Therefore, a triangle can have only one angle (C in the above example) greater than or equal to 90° and at least two acute angles A and B in the above example.
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value. At this rate, what can Dan expect the approximate value of the computer to be after 7 years?
Answer:
$120.14
Step-by-step explanation:
This question is an example of a compound percentage decrease.
To work this out you would first need to convert the percentage of 25 into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.
The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.
The final step is to multiply the amount of 900 by 0.75 to the power of 7, this gives you $120.14.
1) Divide 25 by 100.
[tex]25/100=0.25[/tex]
2) Minus 0.25 from 1.
[tex]1-025=0.75[/tex]
3) Multiply 900 by 0.75 to the power of 7.
[tex]900*0.75^7=120.14[/tex]
Answer:
If you’re looking for the vale after 8 years, I got $90 but I’m not sure if I’m right .
Step-by-step explanation:
I need help with this ASAP please!!! Also, please EXPLAIN how to do it instead of just saying the answer. Thanks!
A small university enrolls in-state and out-of-state students. Enrolled in their most recent freshman class was 243. The school reported that it enrolled seven in-state students for every two out-of-state students. How many of each type of student was enrolled in the freshman class?
There were 189 in-state students and 54 out of state students.
Total number of students = 243
Number of In-state students will be:
= 7/(7+2) × 243
= 7/9 × 243
= 189
Number of Out of states students will be:
= 2/(7+2) × 243
= 2/9 × 243
= 54
Therefore, there were 189 in-state students and 54 out of state students.
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here are three number cards. The numbers are hidden. The mode of the three numbers is 7. The highest number is not 7. The range is 4. What are the 3 numbers write them smallest to largest
Answer:
7, 7, 11
Step-by-step explanation:
If 7 is the mode then it would have to be listed twice.
To get the range you subtract the smallest number from the greatest.
In this case, 11 would be your last number because 11-7=4.
Hope this helps!
-MoCKEry.
The numbers from smallest to largest given the conditions stated are 3, 7, 7. This is determined based on the mode, range, and the fact that the highest number is not 7.
Explanation:The subject is Mathematics, specifically on the topic of statistics related to the mode and range of a set of numbers. In this case, the mode (the number that appears most often) is given as 7, the range (the difference between the highest and the lowest number) is 4, and it is stated that the highest number is not 7. Given this information, we can work out that one of the other numbers must be 7 (for the mode to be 7, there must be at least two 7s), and the third number must be 3 away from this number to provide a range of 4. The only way this can happen without the highest number being 7 is for the numbers to be 3, 7, 7.
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!! Algebra 2, please help
Plot the zeros of the polynomial y = x4 + 3x3 − 27x2 + 13x + 42.
2cos^2theta-3costheta+1=0
Answer:
Step-by-step explanation:
To answer this question, we can begin by creating factors from this equation:
(2cosθ-1)(cosθ-1)= 0.
Now, we just need to set the factors equivalent to 0 and solve:
2cosθ= 1.
cosθ= 1/2
θ= [tex]\frac{\pi }{3}[/tex], [tex]\frac{5\pi }{3}[/tex]
cosθ= 1
θ= 0, 2[tex]\pi[/tex].
Answer: Theta (θ) = 2πn, π/3 + 2πn, 5π/3 + 2πn
Step-by-step explanation:
2cos²(θ) - 3cos(θ) = -1
Let cos(θ) = u
2u² - 3u + 1 = 0
u = 1, u = 1/2
Substitute u with cos(θ) and you have your answer.
I used Symbolab's variable solving calculator for this since I'm lazy :\
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Post Test: Coordinate Geometry and Circles
Submit Test
Select the correct answer.
Circle O is represented by the equation (x + 7) + ( + 7)2 = 16. What is the length of the radius of circle o?
O A.
3
OB. 4
OC. 7
OD. 9
0
E.
16
Reset
Next
Answer:
B. 4
Step-by-step explanation:
The formula for this equation is (x-h)²+(y-k)²=r²
So 16 is represented by r² in that equation
All you have to do is find the square root of 16, which is 4, so the answer is B. 4
The radius of the circle represented by the equation (x + 7)² + (y + 7)² = 16 is 4 units.
Explanation:In mathematics, specifically in coordinate geometry, the standard form to represent a circle's equation is (x-h)² +(y-k)² = r², where (h,k) are the coordinates of the circle's center and r is the radius. Looking at the provided equation, (x + 7)² + (y + 7)² = 16, you can recognize this as following the same format. Here, h = -7, k = -7, and r² = 16. Therefore, the radius of the circle is the square root of 16, which equals 4. Therefore, the length of the radius of circle O is 4.
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120 inch board is cut into two pieces one piece is two times the length of the other find the length of the shorter piece
Answer: 30(short piece) 90(long piece)
Step-by-step explanation:
In addition to the congruent supplements theorem and cpctc, what else is needed to justify the conclusion that ∠ptq ≅ ∠rtq by sas? given: ∆pst ≅ ∆rst the reflexive property of congruence the vertical angles theorem aas theorem sss postulate description
To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS, the congruent supplements theorem and CPCTC are needed.
Explanation:To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS (Side-Angle-Side) in the given triangles PST and RST, we need to use the following:
The congruent supplements theorem, which states that if two angles are supplements of congruent angles (in this case, the angles ∠PTS and ∠RTS) then the two angles are congruent.The CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem, which states that if two triangles are congruent, then their corresponding parts (in this case, the angles ∠PTQ and ∠RTQ) are congruent.Therefore, by using the congruent supplements theorem and the CPCTC theorem, we can conclude that ∠PTQ and ∠RTQ are congruent.
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Maria has 14 pencils, Ted has 9 pencils, Tom has 12, pencils, Lucinda has 13 pencils, so that they all have the same amount? How many pencils should each person have?
Answer:
"If they add all of the pencils together and then divided by how many of them there, which is 60/5, we can that there will be 12 pencils given to each person."
"Sample Response: Maria should give away 2 pencils. Ted should get 3 pencils. Lucinda should give away 1 pencil. Everyone should have 12 pencils. "
Check all that you included in your response.
Maria should give away 2 pencils.
Ted should get 3 pencils.
Lucinda should give away 1 pencil.
Everyone should have 12 pencils.
Step-by-step explanation:
The scores on a mathematics college-entry exam are normally distributed with a mean of 68 and standard deviation 7.2. Students scoring higher than one standard deviation above the mean will not be enrolled in the mathematics tutoring program. How many of the 750 incoming students can be expected to be enrolled in the tutoring program?
631 is the answer-I’m taking this castle learning rn
Using the normal distribution, it is found that 631 of the 750 incoming students can be expected to be enrolled in the tutoring program.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The proportion of students who score one standard deviation below the mean is the p-value of Z = 1, hence it is of 0.8413.
Hence, out of 750 students, the number is given by:
0.8413 x 750 = 631 students can be expected to be enrolled in the tutoring program.
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A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive.
1- What is the initial height of the swimmer?
2- What is the max height of the dive?
3) What is the x-intercept ? Explain what does it represent?
3 questions needs to be answered please, any help?
The questions regarding swimmers position is required.
The initial height of the swimmer is 14 foot.
The max height of the dive is 23 foot.
The x intercept is [tex](8,0)[/tex]. This means she is at ground level.
ParabolaIt is mentioned that the springboard is 14 foot high.
So, initial height of the swimmer is 14 foot.
The maximum height of the dive will be point of curve which is the highest in the [tex]y[/tex] axis.
That point is 23 foot.
The x intercept is the point where the parabola touches the [tex]x[/tex] axis.
Here that point is [tex](8,0)[/tex]
This means that the diver is at ground level but she traveled a horizontal distance of 8 feet.
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A cylinder has a volume of 375 cubic centimeters. The radius of the cylinder is 12.5 centimeters. What is the approximate height of the cylinder? Use 3.14 for
π
.
A.
9.6 centimeters
B.
7.5 centimeters
C.
2.4 centimeters
D.
0.8 centimeters
Answer:
0.8 would be the approximate height
Step-by-step explanation:
you can make an equation and solve for the height (x)
375 = 3.14(12.5^2)x
when you solve this equation, you specifically get 0.76. but your question is asking for the approximate, so you would round it up to 0.8. hope this helps!
Answer:
D. 0.8
Step-by-step explanation:
The formula for finding the volume of cylinders is:
V= (pi)(r^2)(h)
r is the radius and h is the height. V is the volume.
plug in the values.
375 = (3.14)(12.5^2)(h)
375 = (3.14)(156.25)(h)
375 = 490.625 x h
Divide both sides of the equation by 490.625
0.7643... = h
round the decimal to the tenths place and get 0.8
What is the value of x in the equation 2.5 x + 10 = x minus 0.5? –7 –3 3 7
ANSWER -7NEGATIVE SEVEN
Find the gradient of the line segment between the points (2,3) and (4,7)
The gradient of the line segment between points (2,3) and (4,7) is calculated using the formula m = (y2 - y1) / (x2 - x1), yielding a gradient of 2.
Explanation:In mathematics, the gradient of a line segment between two points is the slope of that line. The slope or gradient can be calculated using the following formula: m = (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of the two points.
In this scenario, the coordinates of the points are (2,3) and (4,7). Using the formula, we substitute the coordinates into the formula to get m = (7 - 3) / (4 - 2) = 4/2 = 2. Therefore, the gradient of the line segment between the points (2,3) and (4,7) is 2.
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x=4
y=3x+6
How do I work this problem
Answer:
if x=4 then y=18
Step-by-step explanation:
hope this helps
please mark brainliest ;)
Answer:
Step-by-step explanation:
first, do 4x3. that should equal 12. then, do 12 + 6, or 6 times 3, which equals 18. so, the answer is 18
Keisha went into a park at 1:30 pm she hiked for 1 hour 35 minutes. Then she went to the picnic area for 45 minutes and left the park. What time did keisha leave the park?
Answer:
3:50pm
Time Keisha went to the park- 1:30pm
Time spent for hiking- 1hour 35 minutes
Time spent at the picnic area- 45 minutes
1: 30pm
+1. 35min
2: 65pm
But 60 minutes is 1 hour so the 65 will be changed to 1 hour 5 minutes making it
3: 05pm
3: 05pm
+0: 45min
3: 50pm
Hence the time Keisha left the park was 3:50pm
Keisha entered the park at 1:30 pm, hiked for 1 hour 35 minutes, and spent 45 minutes at the picnic area, which means she left the park at 3:50 pm.
Explanation:The subject of this question is Mathematics, specifically addressing the concept of adding and subtracting measures of time. Keisha entered the park at 1:30 pm and spent 1 hour and 35 minutes hiking. To calculate the time after hiking, you add 1 hour and 35 minutes to 1:30 pm, which brings the time to 3:05 pm. She then spends 45 minutes at the picnic area, so you add 45 minutes to 3:05 pm. Hence, Keisha leaves the park at 3:50 pm.
PLEASE HELP ANSWER THESE QUESTIONS!
1) 2n-4/2n divided by n^2-4/n
2) y^2-36/y^2-49 divided by y+6/y-7
3) m^2-1/ m^2-m divided by m^2-7m-8/3m
Dividing rational expressions
Algebra 1 honors
ILL MARK BRAINIEST!
Answer:
Step-by-step explanation:
a² - b² = (a+ b)(a - b)
1) (2n-4/2n) ÷ (n^2-4/n)
[tex]=\frac{2n-4}{2n}*\frac{n}{n^{2}-4}\\\\=\frac{2n-2*2}{2n}*\frac{n}{n^{2}-2^{2}}\\\\=\frac{2*(n-2)}{2n}*\frac{n}{(n+2)*(n-2)}\\\\=\frac{1}{n+2}[/tex]
2) [y^2-36/y^2-49] ÷[ y+6/y-7]
[tex]=\frac{y^{2}-36}{y^{2}-49}*\frac{y-7}{y+6}\\\\=\frac{y^{2}-6^{2}}{y^{2}-7^{2}}*\frac{y-7}{y+6}\\\\=\frac{(y+6)*(y-6)}{(y+7)*(y-7)}*\frac{y-7}{y+6}\\\\=\frac{y-6}{y+7}\\[/tex]
3) [m^2-1/ m^2-m] ÷ [m^2-7m-8/3m ]
[tex]=\frac{m^{2}-1}{m^{2}-m}*\frac{3m}{m^{2}-7m-8}\\\\=\frac{(m+1)*(m-1)}{m*(m-1)}*\frac{3m}{(m-8)*(m+1)}\\\\=\frac{3}{m-8}[/tex]
Hint : m² - 7m - 8
sum = -7
Product = -8
Factor = (-8), 1
m² - 7m - 8 =m² - 8m + m - 8
= m*(m - 8) + (m-8)
= (m - 8)(m +1)
A bag of animal crackers contains 5 monkeys, 4 giraffes, 6 elephants, and 3 tigers. Suppose you draw a cracker at random. Find the probability of pulling a tiger cracker as a fraction.
Answer: 3/18 simplified is 1/6
Step-by-step explanation:
5 monkeys +4 giraffes +6 elephants+3 tigers= 18 animal crackers in all.
You would put how many animal crackers there are over the total number of animal crackers, which is 3/18 and then you would simplify it. 3/18=1/6
given the following, use a pyagorean identity to find cos(0) if 0 is in quadrant IV.
Answer:
sqrt5/5
Step-by-step explanation:
Combine these radicals
Answer:
-23
Step-by-step explanation:
Which data would most likely show a negative relationship when graphed on a scatterplot?
a) miles driven versus amount of gas used
b) the number of visitors to an amusement park versus the wait time for each ride
c) outside temperature versus a heating bill d) a student’s height versus their grade on a test
Jane earns money walking dogs on the weekends. Jane charges $5 dollar sign, 5 for each dog she walks.
Complete the table for the given ratio.
Dogs, x Charge in dollars, y
1 5
3 ?
5 ?
FIND OUT THE QUESTION MARK
Answer:
3 x 5 is 15 so it would be 3:15
5 x 5 is 25 so it would be 5:25
Step-by-step explanation:
Just multiply by 5 for each one
3 x 5 is 15 so it would be 3:15
5 x 5 is 25 so it would be 5:25
olve these story problems.
Mr. Wilcox drove 459 miles at the aver-
age speed of 51 miles per hour. How
many hours did it take him to reach his
destination?
Step-by-step explanation:
Simple
Speed of 1 hour = 51 miles
Total miles = 459
459 ÷ 51 = 9
It will take 9 hours for him to reach his destination
help solve this please! Thanks in advance
Answer:
x = 20
Step-by-step explanation:
they are both obtuse angles which means they arent supplementary they equal themselves. so you have 7x-30=6x-10 and then you just do the algebra
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Examine the following and determine whether it shows exponential growth or
decay. *
f (x) = 1, 800(0.45)
Growth
Decay
Answer:
It shows exponential decay and not growth
Step-by-step explanation:
In this question, we are asked to examine the mathematical relation and determine if it shows growth or decay
The mathematical relation in the question shows decay.
Why?
This is because looking at the mathematical equation that represents the model of the equation, we can see that the multiplying term present alongside the original term is a number that is less than 1. As this number is less than 1, subsequent multiplications will surely be less than 1 also. This means each subsequent term will have a value which is less than the preceding term. This makes a case for why the model is for decay and not for growth.
Had it been that the term we have in the bracket is a number which is greater than 1, even let’s say 1.0001, this will ensure that subsequent terms will be higher than preceding term and as such we can explicitly state that what we have is growth and not decay. But unfortunately, this is not the case here
The base, 0.45, is less than 1, so this is a decay function
Inspect the number line. Which square roots have a difference of about 0.5? StartRoot 11 EndRoot and StartRoot 14 EndRoot StartRoot 11 EndRoot and StartRoot 19 EndRoot StartRoot 14 EndRoot and StartRoot 19 EndRoot StartRoot 19 EndRoot and StartRoot 24 EndRoot
Answer:
d
Step-by-step explanation
just answered the question
Answer: D
Step-by-step explanation:
Enter values for x and y in the table to plot points in the graph. Please help
Answer:
Step-by-step explanation:
To plot points on a graph, assign x-values to the x-coordinate and calculate the corresponding y-values using the equation y = x² + 2. Connect the points to graphically represent the dependence of y on x.
Explanation:The given table contains the following points: (1,5), (2,10), (3,7), and (4,14). These points represent the values of x and y in the equation y = x² + 2. To plot these points on a graph, you can assign x-values to the x-coordinate and calculate the corresponding y-values using the equation. For example, when x=1, y = 1² + 2 = 3, so the point (1,3) can be plotted on the graph. By connecting all the points, you can graphically represent the dependence of y on x.
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