Answer:
3500.416
Step-by-step explanation:
Compound interest formula
A = A0(1 + r/n)^nt
3200(1 + 0.6%)^15
3200(1 + 0.006)^15
3200(1.006)^15
Is the relationship shown by the data linear? If so, model the data with an equation.
8 and 1/3divided by 3 and 4/7
Proving the Single Opposite Side Pair Theorem
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
ZDAC
А
Statements
Reasons
B
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
9514 1404 393
Explanation:
1. AD ≅ BC, AD ║ BC . . . . given
2. ∠DAC ≅ ∠BCA . . . . alternate interior angles theorem
3. AC ≅AC . . . . reflexive property
4. ΔDAC ≅ ΔBCA . . . . SAS postulate
5. AB ≅ CD, ∠BAC ≅ ∠DCA . . . . CPCTC
6. AB ║ CD . . . . converse of alternate interior angles theorem
7. ABCD is a parallelogram . . . . definition of a parallelogram (has 2 pairs of parallel & congruent sides)
_____
We don't know what your tiles/choices are for statements or reasons. We have shown the triangles are congruent, so their corresponding parts (sides/angles) are congruent. That lets us claim opposite sides are congruent and parallel. YMMV
Answer:
Picture Down Below
Step-by-step explanation:
prove ||a+b|| ≤ ||a||+|b||
Step-by-step explanation:
|a+b|=✓(a²+b²)
|a|+|b|=a+b
||a+b|| ≤ ||a||+|b||
A baseball is projected upward at 64 feet per second. It can be approximated by the equation -16t^2+64t. The baseball reaches it maximum height at the vertex. That can be gotten from x= −/2a . How long until the baseball reaches its full height? Note a quadratic equation can be written as ax^2+bx+c
Answer:
f(t) = -16t²+64t
t = number of secondsf(t) = height (in feet)The x-coordinate(t) of the vertex can be found using formula [tex]\frac{-b}{2a}[/tex], where:
a = -16b = 64Therefore the t-value of the vertex is:
[tex]\frac{-64}{2(-16)} =\frac{-64}{-32} =2[/tex]
The baseball will reach its maximum height after two seconds.
Look at the numbers below. −9.8 −5.4 1.0 14.8 Which shows the best way to add these numbers using the Commutative and Associative Properties? A. (–9.8 + 1.0) + (–5.4 + 14.8) B. (–9.8 + 14.8) + (–5.4 + 1.0) C. (1.0 + 14.8) + (–9.8 + (–5.4)) D. (1.0 + (–9.8)) + (14.8 + (–5.4)
Answer:
B
Step-by-step explanation:
i did the test and it was correct, ur welcome
find the product using suitable product 854×102 step by step explanation
Answer:
87108
Step-by-step explanation:
854 x 102
= 854 x ( 100 + 2 )
= 854 ( 100 ) + 854 ( 2 )
= 85400 + 1708
= 87108
Which of the following choices shows the complete factorization of 50?
52 • 5
2 • 25
52 • 2
None of these choices are correct.
What is the different of (5-3x) and (5x-10)
a. 8x-5
b. 15-8x
c. 8x + 15
d. none of the above
Answer:
15 - 8x
Step-by-step explanation:
Remark
This all depends on how you read the question. In other words, which comes first 5 - 3x or 5x - 10. It's not clear.
If you do the first one first, you get
5 - 3x - (5x - 10) Remove the brackets.
5 - 3x - 5x + 10 Collect like terms
15 - 8x So that makes the middle one correct.
Now do it the other way.
5x - 10 - (5 - 3x)
5x - 10 - 5 + 3x
8x - 15
That answer isn't available here. So ..
The answer is 15 - 8x
in a class, 64 offers mathematics while 94 offers chemistry , How many will offer the both course?
Answer:
30
Step-by-step explanation:
94-64=30 will offer the same course because the chemistry offers ocerride the mathematics offers
PLEASE HELP! much appreciated :D
Find the value of x.
Answer:
a
Step-by-step explanation:
What is the remainder of 119 divided by 4
The remainder when dividing 119 by 4 is 3.
We have,
To find the remainder when dividing 119 by 4, we perform the division and observe the remainder.
When we divide 119 by 4, we get:
119 ÷ 4 = 29 remainder 3
The quotient is 29, which means that 4 goes into 119 twenty-nine times without any remainder.
However, there is a remainder of 3.
Therefore,
The remainder when dividing 119 by 4 is 3.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
What is the least possible degree of a polynomial that has the root -3 + 2i, and repeated root -2 that occurs twice?
4
3
2
5
Answer:
4
Step-by-step explanation:
complex roots always occur in pairs.
so roots are -3+2i,-3-2i ,-2,-2
number of roots=4
The price of a car was decreased from $13,000 to $11,830. The price is decreased by what percentage?
Answer:
It is decreased by 9%
Step-by-step explanation:
First, find out how much money is decreased. To do this, subtract 13,000-11,830=1170. Finally, figure out how much percent 1170 is of the original price of $13,000.
The answer is 7%.
Hope this helps :)
Please help me…………….
9514 1404 393
Answer:
54.8 km
Step-by-step explanation:
The sketch and the applicable trig laws cannot be completed until we understand what the question is.
Given:
two boats travel for 3 hours at constant speeds of 22 and 29 km/h from a common point, their straight-line paths separated by an angle of 39°
Find:
the distance between the boats after 3 hours, to the nearest 10th km
Solution:
A diagram of the scenario is attached. The number next to each line is the distance it represents in km.
The distance (c) from B1 to B2 can be found using the law of cosines. We can use the formula ...
c² = a² +b² -2ab·cos(C)
where 'a' and 'b' are the distances from the dock to boat 1 and boat 2, respectively, and C is the angle between their paths as measured at the dock.
The distance of each boat from the dock is its speed in km/h multiplied by the travel time, 3 h.
c² = 66² +87² -2·66·87·cos(39°) ≈ 3000.2558
c ≈ √3000.2558 ≈ 54.77
The boats are about 54.8 km apart after 3 hours.
Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.how many cups of water are needed for every ounces of tooth paste
1 cup per 8 oz
48/6 = 8
every 1 cup of water 8 oz of tomato paste.
Hello can anyone answer this question please I need help
9514 1404 393
Answer:
maximum: 40(8/3, 8/3)Step-by-step explanation:
The graph shows the relevant vertex of the feasible region is ...
(x, y) = (8/3, 8/3).
The value of z there is ...
z = 11(8/3) +4(8/3) = (88 +32)/3
z = 40
Find the value of x on this triangle
Answer:
33
a2+b2 =c2
a2+ 33 squared = 55 squared
a + 1936 = 3025
3025-1936=1089
square root of 1089 is 33
pleeeaaasssseeee mark as brainliest
Which expression is equivalent to 7x , if b > 0?
Work Shown:
[tex]7x^2*\sqrt{2x^4}*6\sqrt{2x^{12}}\\\\7*6x^2*\sqrt{2x^4*2x^{12}}\\\\42x^2*\sqrt{4x^{4+12}}\\\\42x^2*\sqrt{4x^{16}}\\\\42x^2*\sqrt{(2x^8)^2}\\\\42x^2*(2x^8)\\\\42*2x^{2+8}\\\\84x^{10}\\\\[/tex]
So that's why the answer is choice C
The requirement that x is nonzero isn't technically necessary. The original expression simplifies to choice C even when x = 0 is the case. Also, we don't have issues such as division by zero errors that could arise. It's a bit curious why your teacher put in that condition.
Answer:
C.
Step-by-step explanation:
7x²×sqrt(2x⁴)×6×sqrt(2x¹²)
we see right away that as constant multiplication factor we have 7×6 = 42.
and then we get from each sqrt expression a sqrt(2), which leads to sqrt²(2) = 2 and therefore 42×2=84.
the only answer option with 84 is C.
now, to be completely sure, and to get some practice, let's look at the other parts :
sqrt(2x⁴) = sqrt(2)×sqrt(x⁴) = sqrt(2)×x²
sqrt(2x¹²) = sqrt(2)×sqrt(x¹²) = sqrt(2)×x⁶
=>
7x²×sqrt(2)×x²×6×sqrt(2)×x⁶ =7×6×2×x²×x²×x⁶ = 84x¹⁰
perfect. C is confirmed.
work out the value of (4√2)^2
Answer:
32
Step-by-step explanation:
(4[tex]\sqrt{2}[/tex] )²
= 4[tex]\sqrt{2}[/tex] × 4[tex]\sqrt{2}[/tex]
= 4 × 4 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]
= 16 × 2
= 32
what are the solutions to the quadratic equation (5y + 6)² = 24
Answer:
no solution
Step-by-step explanation:
25y² +36 = 24
(5y + 6) (5y + 6)
roots -6/5, -6/5
solution is always a positive root
An investor puts $800 into an account that pays 7.5% interest compounded annually. The total amount A in the account after t years is given by which function below?
A = 800(1.75) ^t
A = 800(1.075) t
A = 800(1.075)^ t
A = 800 + (1.075)^ t
Answer:
A = 800( 1.075)^(t)
Step-by-step explanation:
The equation for interest is
A = p (1+r/n) ^ nt where p is the principle, r is the interest rate, n is the number of times per year and t is the years
A = 800( 1+ .075/1)^(1*t)
A = 800( 1.075)^(t)
Let's see
[tex]\\ \tt\leadsto A=P(1+r/n)^{nt}[/tex]
n is 1[tex]\\ \tt\leadsto A=P(1+r)^t[/tex]
[tex]\\ \tt\leadsto A=800(1+0.075)^t[/tex]
[tex]\\ \tt\leadsto A=800(1.075)^t[/tex]
Option C
Given the following linear function, sketch the graph of the function and find the domain and range.
f(x) = -5x+ 4
Answer:
There don't seem to be any limits/asymptotes to the function.
Domain = (-∞ , ∞ ), {x|x ∈ R }Range = (-∞ , ∞ ), {x|x ∈ R }The graph would look something similar to this:
Draw the image of the rotation of quadrilateral SORT by 270° about the origin.
I need visual help, not a number answer please :)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A rotation 270° CCW is the same as a rotation 90° CW. To see what the figure looks like in its new location, make a copy on a semi-transparent medium, then align the +x axis on the copy with the -y axis on the original graph, keeping the origin in the same place.*
Algebraically, the transformation is ...
(x, y) ⇒ (y, -x)
For example, ...
S(7, -6) ⇒ S'(-6, -7)
In the attachment, the rotated figure is in red.
_____
* The exercise of physically doing this on paper or with transparencies can give you the insight you need to learn to do it mentally.
⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆
THAT IS THE RIGHT ANSWER
Find the missing length indicated
Answer:
x = 15
Step-by-step explanation:
solve for "X" where x±4=12
Answer:
x = 8, 16
Step-by-step explanation:
x + 4 = 12
x = 12- 4
x = 8
x - 4 = 12
x = 12 + 4
x = 16
in a small town in New York, we initiated a cohort study and followed 5,900 people for a mean follow-up of 2 years. At the end of the 2nd year, none of the participants was lost to follow-up. During this follow-up, we identified 600 cases of malaria. What was the cumulative incidence?
a. 10.1%
b. 10.1 per 1,000
c. 50.8%
d. 10 cases
Answer:
Option A
Step-by-step explanation:
From the question we are told that:
Sample size n=5900
Number of newly developed cases No.C=600
Generally the equation for Cumulative Incidence is mathematically given by
[tex]CI=\frac{No.C}{n}[/tex]
[tex]CI=\frac{600}{5900}[/tex]
[tex]CI=0.101[/tex]
[tex]CI= 10.1%[/tex]
Option A
Which expression is equivalent to 7√x^2/5√y^3? Assume y≠0
Answer:
Step-by-step explanation:
If the √y³ term is in the denominator, then the expression needs to be written with parentheses: 7√x²/(5√y³)
give me examples of equivalent expressions of square root 54 with a radican of 3
Ravi bought 50kg rice at the rate of tk.40 per kg and sold it at the rate of tk.44 per kg. What is the percentage of profit
He paid 0.40 x 50 = 20
He sold it for 0.44 x 50 = 22
His profit was 22-20 = 2
Percentage was 2/20 = 0.10 = 10 %
Answer 10 %
