Answer:
Chuck can afford both the convertible and sports car APEX
Step-by-step explanation:
Answer:
We can say that Chuck can afford both the cars.
Step-by-step explanation:
The EMI formula is :
[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]
Case 1:p = 28700
r = 6/12/100=0.005
n = 6*12=72
Putting the values in the above formula, we get:
[tex]\frac{28700*0.005*(1.005)^{72} }{(1.005)^{72}-1 }[/tex]
Monthly payment is = $475.67
Case 2:p = 29200
r = 6/12/100=0.005
n = 6*12=72
Putting the values in the above formula, we get:
[tex]\frac{29200*0.005*(1.005)^{72} }{(1.005)^{72}-1 }[/tex]
Monthly payment is = $483.96
We can see that in both the cases, the monthly payments or EMI's are less than $490.
Therefore, we can say that Chuck can afford both the cars.
Determine whether the following is a statistical question. In general how tall are giraffes? Help please
it is a statistical question due to you having to collect data to answer this question, you'd have to collect data on how tall the giraffes are and i'm sure they all don't grow up to be the same height so there will be differentiations in heights of all.
Answer:
what the other person said
Step-by-step explanation:
You deposit $175 in an account that pays 4% interest compounded quarterly. How much will you have in the account after 2 years?
Answer:
[tex]\$189.50[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=2\ years\\ P=\$175\\ r=0.04\\n=4[/tex]
substitute in the formula above
[tex]A=\$175(1+\frac{0.04}{4})^{4*2}=\$189.50[/tex]
Ragan drew a polygon with more than A square and fewer vertices than a hexagon. Which could reg have drawn? A.triangle. B. Rectangle C.quadrilateral. D. Pentagon
Answer: D. A pentagon
According given statement Ragan drew pentagon. Therefore, option D is the correct answer.
What is a pentagon?A pentagon is a five-sided polygon with five straight sides and five angles. It is a regular polygon, meaning all of its sides are equal in length and all of its angles are equal in measure.
Given that, Ragan drew a polygon with more than a square and fewer vertices than a hexagon.
We know that, square has 4 sides and a hexagon has 6 sides.
According to statement, Ragan drew pentagon.
Therefore, option D is the correct answer.
Learn more about the pentagon here:
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During the past seven weeks Diego spent between $11 and $17 for lunch each week. which of these could be the total amount that he spent on lunch for the past 7 weeks?
Answer:
Step-by-step explanation
round the numbers so it is easier to work with
10 * 7 = 70
70 * 7 = 490
20 * 7 = 140
140 *7 = 980
980 + 490 = 147.0
The total amount that Diego could have spent on lunch over the past seven weeks could be between $77 and $119.
Explanation:To determine the total amount Diego could have spent on lunch over the past seven weeks, you should find the minimum and maximum amounts he could have spent. The minimum amount would be if he spent $11 each week, and the maximum if he spent $17 each week.
To find these amounts, you multiply the number of weeks by the respective cost. So, for the minimum, you multiply 7 weeks by $11, which gives a total of $77. Then, for the maximum, you multiply 7 weeks by $17, which gives a total of $119.
Therefore, the total amount that he spent on lunch for the past 7 weeks could be any amount between $77 and $119.
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Patricia compró 10 estampillas de correos unas de $3.00 y otras de $1.00. Si pago con $18.00 en total. ¿Cuántas pago por cada una? (Hacer el problema con uno de los varios sistemas de ecuaciones)
Answer:
Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar
Step-by-step explanation:
Cuatro estampas de tres dolares cada una es:
3 × 4 = 12
Ahora necesitamos encontrar cuantas estampas mas Patricia puede comprar. Podemos hacer esto restando 12 a 18, que es el costo total de las estampas menos del valor encontrado
18 - 12 = 6
Ahora sabemos que Patricia necesita 6 dolares de estampas ($1 estampas) para acompletar las 10 estampas dando un total de $18 dolares.
6 × 1 = 6 < sumar 6 de 12
12 + 6 = 18
Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar
To solve this problem using a system of equations, we can let x represent the number of stamps that Patricia bought for $3.00 and y represent the number of stamps she bought for $1.00.
Explanation:To solve this problem using a system of equations, we can let x represent the number of stamps that Patricia bought for $3.00 and y represent the number of stamps she bought for $1.00. The problem tells us that Patricia bought a total of 10 stamps and paid a total of $18.00. Therefore, we can set up the following system of equations:
x + y = 10
3x + y = 18
To solve this system, we can use the substitution or elimination method. Let's use the substitution method. From the first equation, we can solve for x in terms of y: x = 10 - y. Now we can substitute this expression for x in the second equation:
3(10 - y) + y = 18
30 - 3y + y = 18
30 - 2y = 18
-2y = -12
y = 6
Substituting this value of y back into the first equation, we can find the value of x:
x + 6 = 10
x = 4
So Patricia bought 4 stamps for $3.00 each and 6 stamps for $1.00 each.
If a function f(m) models the number of hours it take to hike m miles through the jungle, which describes the appropriate domain for the function?
A) all integers where m > 0
B) all integers where m ≥ 0
C) all rational numbers where m > 0
D) all rational numbers where m ≥ 0
the correct answer is d
Answer:
D
Step-by-step explanation:
all rational numbers where m ≥ 0
The number of hours it takes to hike through the jungle can be calculated from any fraction of a mile or miles.
If y=x-6 were change to y=x-8 how would the graph of the new function compare with the first one ?
Answer:
- The lines of both functions have the same slope.
- The line of the first function intercepts the y-axis at the point (0,-6) and the line of the new function intercepts the y-axis at the point (0,-8).
- The new graph is the graph of the first function but shifted 2 units down.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where the slope is "m" and the intersection of the line with the y-axis is "b".
Given the function in the form [tex]y=x-6[/tex], you can identify that:
[tex]m=1\\b=-6[/tex]
And from the new function in the form [tex]y=x-8[/tex], you can identify that:
[tex]m=1\\b=-8[/tex]
This means that the lines of both functions have the same slope, but the line of the first function [tex]y=x-6[/tex] intercepts the y-axis at the point (0,-6) and the line of the new function [tex]y=x-8[/tex] intercepts the y-axis at the point (0,-8).
Therefore, the graph of the new function is 2 units below of the function [tex]y=x-6[/tex], or, in other words, the new graph is the graph of the first function but shifted 2 units down.
the terminal side of theta passes through the point (-5,-6). what is the exact value of cos theta in simplified form?
ANSWER
[tex]\cos( \theta) = - \frac{5\sqrt{61}}{ 61 } [/tex]
EXPLANATION
The given point is (-5,-6).
This implies that ,
[tex] \tan( \theta) = \frac{6}{5} [/tex]
Hence opposite=6 units and adjacent=5 units.
The hypotenuse is,
[tex] = \sqrt{ {5}^{2} + {6}^{2} } = \sqrt{61} [/tex]
Since the terminal side is in the third quadrant, the cosine ratio is negative.
[tex] \cos( \theta) = - \frac{adjacent}{hypotenuse} [/tex]
[tex]\cos( \theta) = - \frac{5}{ \sqrt{61} } [/tex]
Rationalize the denominator,
[tex]\cos( \theta) = - \frac{5\sqrt{61}}{ 61 } [/tex]
The correct choice is C.
9−|2y+3|=0
PLZ SOLVE QUICKLY
it's not y=6 and y=-3
I tried that it didn't work
one or both of my answers is incorrect
Seems like you had your minus signs backwards. Try y = 3 and y = -6
which equation has the steepest graph
Answer:
Answer: A. Y= -10x -4.
Step-by-step explanation:
Steeper line : is a line which is closed to y-axis, or closed vertically.
Since, the standard form of a line is,
y = mx + c
Where m is the slope,
If the absolute value of the slope ( that is, |m| ) is maximum then it is called it has the steepest graph.
For, y=-2x+6,
The absolute value of slope = 2,
For, y =8x-1,
The absolute value of slope = 8,
For, y=-10x-4,
The absolute value of slope = 10,
For, Y=7x+3,
The absolute value of slope = 7,
Since, 2< 7 < 8 < 10
Hence, the line y = -10 x - 4 is closest to y-axis,
⇒ Line y = -10 x - 4 has the steepest graph.
A steeper line is one with a greater absolute slope value. Among the provided equations, y = -10x - 4 has the steepest graph due to its absolute slope value of 10.
The correct answer is option A.
A steeper line in the context of linear equations can be understood as a line that is closer to the y-axis or one that has a more significant vertical incline. The steepness of a line is determined by its slope, represented as 'm' in the standard linear equation form, y = mx + c. The slope 'm' quantifies the rate at which the line rises or falls as it moves horizontally along the x-axis. The greater the absolute value of the slope (|m|), the steeper the line.
To identify the steepest line among several equations, one must calculate and compare the absolute values of their slopes. Let's evaluate a few examples:
For y = -2x + 6, the absolute value of the slope is |2|.
For y = 8x - 1, the absolute value of the slope is |8|.
For y = -10x - 4, the absolute value of the slope is |10|.
For y = 7x + 3, the absolute value of the slope is |7|.
Comparing these absolute values, we find that 2 < 7 < 8 < 10. Therefore, the line with the steepest graph is y = -10x - 4. This line is closest to the y-axis, indicating the most significant vertical incline among the given equations.
Therefore, from the given options the correct one is A.
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200 cocoa beans make 1 lb. of chocolate. How many cocoa beans are needed to make 3 pounds of chocolate?
Answer:
600 cocoa beans
Step-by-step explanation:
because pounds and lb is that same thing and for 3 pounds of chocolate, you need 600 cocoa beans
200 cocoa beans makes 1 pound of chocolate.
Since,
1 multiplied to 3 is 3.
So,
200x3 cocoa beans make 1 pound of chocolate.
=600 cocoa beans
Therefore 600 cocoa beans make 3 pounds of chocolate.
which property can be used to show that 4r+3s+2r=6r+3s? Explain your answer.
Distributed property because this property allows u two put 4r+2r because this equation is also (4xr)+(2xr) since they have the same variable u can put them together 4+2 is 6 and then just multiply by r so it’s 6r. And let’s not forget about 3s it doesn’t have the same variable so you can do 6r+3s which is what u got and is the correct answer 6r+3s is simplified but it’s the same as 4r+3s+2r
I've been out, and need help. i have been given 1 hour to complete this exam. i have half done and need help with these. please help?
QUESTION 1
The point-slope form equation of a line is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Given slope:
[tex]m = \frac{2}{3} [/tex]
and point:(-3,5)
The point-slope form equation is:
[tex]y-5= \frac{2}{3} (x- - 3)[/tex]
This simplifies to:
[tex]y-5= \frac{2}{3} (x + 3)[/tex]
The correct option is D.
QUESTION 2
We use any two points from the table to find the required equation.
(2,14) and (4,23)
The slope is given by the formula,
[tex]m = \frac{23 - 14}{4 - 2} = \frac{9}{2} [/tex]
The equation is given by;
[tex]y-y_1=m(x-x_1)[/tex]
We plug in values to get;
[tex]y-14= \frac{9}{2} (x-2)[/tex]
Expand:
[tex]y = \frac{9}{2} x - 9 + 14[/tex]
The slope-intercept form is:
[tex]y = \frac{9}{2} x + 5[/tex]
The correct choice is B
Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β if β < α.
sin(2x + 2) = cos(3x + 8)
A) 16°
B) 34°
C) 56°
D) 74°
Answer:
Step-by-step explanation:
we know that
in a right triangle
if sin A= cos B
then
angle A and angle B are complementary angles
so A+B=90
therefore
(7x-15)+(3x+5)=90-----> 10x-10=90----> 10x=100----> x=10°
so
7x-15------> 7*10-15----> 55°
3x+5------> 3*10+5----> 35°
we know that
β < α
therefore
the answer is
β =35°
α=55°
Answer:
34
Step-by-step explanation:
Thats the answer o usatest prep
Mark and his friends ordered two pizzas are the same size the first pizza is cut into six slices of equal size the second pizza is cut into four slices of equal size each person plan to take two slices of pizza Mark concludes that he would get more pizza by taking one slice from each pizza instead of Mark and his friends ordered two pizzas of the same size the first pizza is cut into six slices of equal size the second pizza is cut into four slices of equal size each person plan to take two slices of pizza Mark concludes that he would get more pizza by taking one slice from each pizza instead of 2 Slices from the first pizza explain why Mark is correct be sure to include a number comparison using less than or greater then in your explanation
1/6 < 1/4 so 1/6 would equal 2/12 and 1/4 would equal 3/12 so which means if you take one from each it would be 5/12 but if you took 2 from the first one it would only be 2/12 which is why you need to read correctly because THE REASON MARK IS CORRECT IS BECAUSE 5/12 IS GREATER THAN 2/12
PLEASE ANSWER NUMBER FOUR AND SHOW WORK THANK YOU IN ADVANCE.
Answer:
A,C, AND D
Step-by-step explanation:
A. 3+4>5 therefore a triangle
B. 1+7<10 therefore not a triangle
C. 1.5+1.5>2.5 therefore a triangle
D. 7+7>7 therefore a triangle
E. 6+6=12 therefore not a triangle
20: the figure is a net of a rectangular prism with a length of 14 yards, a width of 12 yards, and a height of 4 yards.
a- 180 square yards
b- 672 square yards
c- 600 square yards
d- 544 square yards
21: a cylindrical water tower is 24 feet high and has a diameter of 20 feet. approximately how many cubic feet of water could the tower hold?
a- 2,400 cubic feet
b- 7,500 cubic feet
c- 9,600cubic feet
d- 30,200 cubic feet
The answer to Number 21 is A
In triangle ABD, BE ⊥ AD and ∠EBD ≅ ∠CBD.
If ∠ABE = 52°, what is the measure of ∠EDB?
A) 12°
B) 26°
C) 52°
D) 64°
Answer:
Option B. [tex]26\°[/tex]
Step-by-step explanation:
step 1
Find the measure of angle EBD
we know that
[tex]m<EBD+m<CBD+m<ABE=180\°[/tex]
remember that
[tex]m<EBD=m<CBD[/tex]
[tex]m<ABE=52\°[/tex]
substitute the values
[tex]2m<EBD+52\°=180\°[/tex]
[tex]2m<EBD=180\°-52\°[/tex]
[tex]m<EBD=128\°/2=64\°[/tex]
step 2
Find the measure of the angle EDB
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
In the right triangle BED
[tex]m<EBD+m<BED+m<EDB=180\°[/tex]
we have
[tex]m<EBD=64\°[/tex]
[tex]m<BED=90\°[/tex]
substitute
[tex]64\°+90\°+m<EDB=180\°[/tex]
[tex]m<EDB=180\°-(64\°+90\°)=26\°[/tex]
Answer:
B.[tex]26^{\circ}[/tex]
Step-by-step explanation:
We are given that a triangle ABD, BE is perpendicular to AD and angle EBD is congruent to angle CBD.
[tex]\angleABE=52^{\circ}[/tex]
We have to find the measure of angle EDB.
Let [tex]\angle EBD=x[/tex]
Then, [tex]\angle CBD=x[/tex] because angle EBD is congruent to angle CBD.
[tex]\angle ABE+\angle EBD+\angle CBD=180^{\circ}[/tex] (linear sum)
[tex]52+x+x=180[/tex]
[tex]2x=180-52=128[/tex]
[tex]x=\frac{128}{2}=64^{\circ}[/tex]
In triangle EBD
[tex]\angle BED=90^{\circ}[/tex]
[tex]\angle EBD=64^{\circ][/tex]
[tex]\angle EBD+\angle BED+\angle EDB=180^{\circ}[/tex] (sum of angles of triangle )
Substitute the values then we get
[tex]64+90+\angle EDB=180[/tex]
[tex]154+\angle EDB=180[/tex]
[tex]\angle EDB=180-154=26^{\circ}[/tex]
Hence, [tex]m\angle EDB=26^{\circ}[/tex]
Five cards are dealt from 52.
A) How many different hands can be dealt?
B) How many hands will contain 4 hearts?
C) How many hands will contain no face cards?
D) How many hands will contain only spades or only clubs?
E) How many hands will contain only red cards l?
F) How many hands will contain no more than 2 face cards?
G) How many will contain at least 2 hearts?
For reference,
[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]
a. [tex]\dbinom{52}5=2,598,960[/tex] - nothing special here, you're just choosing any 5 cards from the deck
b. [tex]\dbinom{13}4\dbinom{39}1=27,885[/tex] - 13 hearts to choose from, and 39 of any other suit
c. [tex]\dbinom{40}5=658,008[/tex] - there are 12 face cards to omit from the count
d. [tex]\dbinom{26}5=65,780[/tex] - half the deck contains spades/clubs
e. [tex]\dbinom{26}5=65,780[/tex] - essentially the same situtation as (d)
f. [tex]\dbinom{40}5\dbinom{12}0+\dbinom{40}4\dbinom{12}1+\dbinom{40}3\dbinom{12}2=2,406,768[/tex] - either 0, 1, or 2 face cards are allowed
g. [tex]\dbinom{13}2\dbinom{39}3+\dbinom{13}3\dbinom{39}2+\dbinom{13}4\dbinom{39}1+\dbinom{13}5\dbinom{39}0=953,940[/tex] - similar to (f)
A) Total Different Hands=2,598,960
B) Hands Containing 4 Hearts=27,885
C) Hands Containing No Face Cards=658,008
D) Hands Containing Only Spades or Only Clubs=2,574
E) Hands Containing Only Red Cards=65,780
F) Hands Containing No More Than 2 Face Cards= 915528
G) Hands Containing At Least 2 Hearts=1,894,929
This problem involves calculating the number of different hands possible when dealing five cards from a standard deck of 52 playing cards.
We also need to determine the count for various specific conditions.
A) Total Different Hands
To determine the number of different hands, we use the combination formula C(n, k) where n is the total number of items, and k is the number of items to choose.
For our case:
C(52, 5) = 52! / (5!(52-5)!) = 2,598,960
B) Hands Containing 4 Hearts
We select 4 hearts from the 13 available and the 5th card from the remaining 39 cards:
C(13, 4) * C(39, 1) = 715 * 39 = 27,885
C) Hands Containing No Face Cards
There are 40 non-face cards (4 suits each with A-10). Thus, the number of ways to select a 5-card hand with no face cards is:
C(40, 5) = 658,008
D) Hands Containing Only Spades or Only Clubs
Since we can't mix suits, we compute separately and add:
C(13, 5) * 2 (one for each suit) = 1,287 * 2 = 2,574
E) Hands Containing Only Red Cards
There are 26 red cards (hearts and diamonds), so we choose from these:
C(26, 5) = 65,780
F) Hands Containing No More Than 2 Face Cards
Calculating for 0, 1, and 2 face cards separately:
0 face cards: C(40, 5)1 face card: C(12, 1) * C(40, 4)2 face cards: C(12, 2) * C(40, 3)Total=C(40, 5) + C(12, 1) * C(40, 4) + C(12, 2) * C(40, 3) = 658,008 + 114,960 + 142,560 = 915528
G) Hands Containing At Least 2 Hearts
We use the complement rule: subtract the combinations with 0 or 1 heart from the total:
0 hearts: C(39, 5)1 heart: C(13, 1) * C(39, 4)Total=C(52, 5) - (C(39, 5) + C(13, 1) * C(39, 4)) = 2,598,960 - (575,757 + 128,274) = 1,894,929
point d is at (-6,9) After being translated four units down and then reflected across the Y axis what are the cornets of point d
Answer:
So, if it is translated down 4 units, that puts point d at (-6,5). and after reflecting it over the y axis, that puts it at (6,5). Making the final answer (6,5).
Step-by-step explanation:
The coordinates of point D after being translated four units down and reflected across the Y-axis are (6, 5).
Explanation:To find the coordinates of point D after the given translation and reflection, we need to perform each step in order.
First, the translation moves point D four units down, resulting in coordinates (-6, 9) + (0, -4) = (-6, 5).Next, the reflection across the y-axis involves changing the sign of the x-coordinate. Therefore, the final coordinates of point D after reflection are (6, 5).Learn more about Translation and Reflection here:https://brainly.com/question/29115124
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60 percent of students have car and iPad 70 percent have a car
What is probability that a student with a car also has an iPod
Answer:
[tex]P =0.857[/tex]
Step-by-step explanation:
We know that 60% of students have an iPad and a car and 70% have a car.
If we call A the event "have an iPad" and call the event B "have a car"
So
[tex]P (A\ and\ B) = 0.6\\\\P(B) = 0.7[/tex]
We look for the probability that a student with a car also has an iPad. This is
[tex]P (A | B) = \frac{P(A\ and\ B)}{P(B)}\\\\P (A | B) = \frac{0.6}{0.7}\\\\P (A | B) = 0.857[/tex]
Answer:
86%
Step-by-step explanation:
To solve this problem you need to use the formula for conditional probability.
P(Ipod|Car) = P(Car and Ipod)P(Car).
P(a student with a car also has an iPod) = 0.6/0.7 = 0.857 = 86%
How many hours worked is 1:45-4:00?
Answer:
2 1/4 h = 2.25 hStep-by-step explanation:
From 1:45 to 4:00 is:
15 min to 2:00
from 2:00 to 4:00 is 2h
We know 1h = 60min, therefore 1min = 1/60 h
2h and 15min = 2h + 15/60 h = 2h + 1/4 h = 2 1/4h = 2.25h
I need urgent help, I have no idea how to figure this one out.
Answer: What's the question?
Step-by-step explanation:
85%of the students report being bullied during school. predict of how many students in a school of 7000 have been bullied
5950 have been bullied in that particular school of 7000
Suppose you decided to keep flipping a coin until tails came up, at which point you would stop. What is the probability of tails coming up on the 6th flip of the coin? Round your answer to the nearest tenth of a percent.
A. 12.5%
B. 3.1%
C. 1.6%
D. 6.3%
Please do not waste my time and answer this if you don't know how to do this, also explaining it would be nice since its 25 points and proves to me that you know how to do this hopefully
Let's talk about what we do know, before we answer the question.
5 heads will be flipped -followed by a tail on the 6th flipProbability = (1/2)^5 x (1/2) = 1/64 or 1.5625%, which rounds to -
1.6% [C] <----------
Final answer:
The probability of tails coming up on the 6th flip of a coin is calculated as (0.5)^6, which equals 0.015625 or 1.6% after rounding to the nearest tenth of a percent.
Explanation:
To calculate the probability of tails coming up on the 6th flip of a coin, we must first understand that each flip of a fair coin is an independent event with two possible outcomes: heads or tails. The probability for each of these outcomes on a single flip is 50% or 0.5. In order for tails to come up on the 6th flip specifically, we need to have five heads before that. The probability of getting heads five times in a row is (0.5)^5, and then we multiply this by 0.5 again for the probability of the 6th flip being tails. Hence, the calculation is (0.5)^6.
(0.5)^6 = 0.015625, which is the same as 1.5625%. Rounding this to the nearest tenth of a percent, the probability of tails coming up on the 6th flip is 1.6%, which corresponds to option C.
X^2+2x-8=0 in simplest radical form
2⃣, -4⃣ = x; no radical necessary.
A cyclist rides her bike at a rate of 12 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? Do not round your answers.
The cyclist's speed converts to 43.2 km/h. In 3 hours, she will travel a distance of 129.6 kilometers.
Explanation:The rate of the cyclist in kilometers per hour can be calculated by converting meters per second to kilometers per hour. To do this, we multiply the speed in meters per second by 3.6 (since 1 m/s = 3.6 km/h). Thus, the cyclist's speed in km/h is 12 m/s * 3.6 = 43.2 km/h.
To calculate the distance she will travel in 3 hours, we multiply the speed (in km/h) by the time in hours. So, the distance is 43.2 km/h * 3 hours = 129.6 km.
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The cyclist's rate in kilometers per hour is 43.2 km/h, and she will travel 129.6 km in 3 hours.
Explanation:To convert the rate from meters per second (m/s) to kilometers per hour (km/h), we need to use conversion factors.
Conversion factors:
1 m/s = 3.6 km/h
1 hour = 3600 seconds
Let's calculate:
Rate in km/h = (Rate in m/s) × (Conversion factor from m/s to km/h)
Rate in km/h = 12 m/s × 3.6 km/h
Rate in km/h = 43.2 km/h
To calculate the distance traveled in 3 hours, we can use the formula:
Distance traveled = Rate × Time
Distance traveled = 43.2 km/h × 3 hours
Distance traveled = 129.6 km
Learn more about Rate conversion here:https://brainly.com/question/28833440
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A triangle has an area of 8 square feet and a height of 4 feet. What is the length of the base?
[tex]\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\ \cline{1-1} A=8\\ h=4 \end{cases}\implies 8=\cfrac{1}{2}b(4)\implies 8=2b\implies \cfrac{8}{2}=b\implies 4=b[/tex]
To find the length of the base of a triangle with an area of 8 square feet and a height of 4 feet, you rearrange the formula for the area of a triangle and solve for the base, resulting in a base length of 4 feet.
The question asks for the length of the base of a triangle given that the area is 8 square feet and the height is 4 feet. To find the base of the triangle, we can rearrange the formula for the area of a triangle, which is A = (1/2) * base * height. Substituting in the given values and solving for the base, we get:
Base = (2 * Area) / Height
Next, we replace the values for Area and Height:
Base = (2 * 8 sq ft) / 4 ft
Base = 16 sq ft / 4 ft
Base = 4 feet
Therefore, the length of the base of the triangle is 4 feet.
The sound wave for the note A above middle C can be modeled by the function y = 0.001 sin 880 π ø. What is the amplitude of this equation?
A. 0.001
B. 880
C. π
D. 0.88
E. 288.25
Answer: Option A
[tex]A=0.001[/tex]
Step-by-step explanation:
The sinusoidal functions have the following form
[tex]Y = Asin (bx)[/tex]
Where
[tex]\frac{2\pi}{b}[/tex] is the period of the function
A is the amplitude: Half the difference between the minimum value and the maximum value of the function.
In this case the function is:
[tex]y = 0.001sin(880\pi\phi)[/tex]
Therefore the amplitude of this equation is [tex]A=0.001[/tex]
Can someone please help me???? I dont understand AT ALL
Answer:
In the attachment.