Answer:
17.5 yds =r
Step-by-step explanation:
Circumference is given by
C = 2*pi*r
35pi = 2 *pi*r
Divide each side by 2pi
35pi/2pi = 2*pi*r/2pi
17.5 =r
Help me! 17 points to help me
Answer:
this is to much work for me to do.
Step-by-step explanation:
Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0.85an – 1. What is a1?
Answer:
10 feet
Step-by-step explanation:
The height of the ball after it hits the floor and rebound is defined by the recursive formula:
[tex]a_n = 0.85a_{n-1}[/tex]
This is an example of a geometric sequence in which the next term is gotten by multiplication of the previous term by 0.85.
If the ball is dropped from a height of 10 feet, the first term is 10.
Its Initial height, [tex]a_1=10 \:feet[/tex]
If you double president Reagans age at the time of his first inauguration and subtract his age at the time he died,the result is 45 years. How old was president Reagan when he died?
Answer:
93
Step-by-step explanation:
Let's say President Reagan was x years old when he died. He was 69 years old at his first inauguration
(2*69)-x = 45
Wait. But how will we find x in that equation?
--> (2*69)-45 = x
That's better.
2*69 = 138
138-45 = 93
x=93
what is 4p−5(p+6) simplified
Answer:
-p - 30
Step-by-step explanation:
4p−5(p+6)
Distribute:
=4p+(−5)(p)+(−5)(6)
=4p+−5p+−30
Combine Like Terms
=4p+−5p+−30
=(4p+−5p)+(−30)
=−p+−30
=−p−30
Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side?
6 cm
18 cm
24 cm
28 cm
Answer:
Option 2 is correct
Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.
A teacher allows her students to decide whether to use the mean, median, or mode to determine their test averages. One student determined that he will receive the highest average if he uses the mean. Which test scores are his?
A. 95, 82, 76, 95, 96B. 79, 80, 91, 83, 80C. 65, 84, 75, 74, 65D. 100, 87, 94, 94, 81
Final answer:
Option D, with scores of 100, 87, 94, 94, and 81, yields the highest average when calculated using the mean, making it the best choice for the student seeking the highest test average.
Explanation:
The question asks which set of test scores will give the highest average if calculated using the mean. To find the answer, we calculate the mean of each set of scores:
A: (95+82+76+95+96)/5 = 88.8
B: (79+80+91+83+80)/5 = 82.6
C: (65+84+75+74+65)/5 = 72.6
D: (100+87+94+94+81)/5 = 91.2
Among the options, option D has the highest mean.
Therefore, the student with test scores of 100, 87, 94, 94, and 81 will have the highest average when using the mean to calculate.
can someone please help !!!
Answer:
s=-8
Step-by-step explanation:
Which type(s) of equation can have infinite solutions?
A. linear-linear
B. linear-quadratic
C. quadratic-quadratic
Answer:
A and C
Step-by-step explanation:
I did the assignment
△BCD is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters. What is the length of the other leg?
Answer:
The answer to your question is b = 11.31 cm or 8[tex]\sqrt{2}[/tex] cm
Step-by-step explanation:
Data
hypotenuse = 18 cm
one leg = 14 cm
second leg = ?
Process
1.- Use the Pythagorean Theorem to solve this problem
c² = a² + b²
c = hypotenuse
a = longer leg
b= shorter leg
2.- Substitution
18² = 14² + b²
-Solve for b
b² = 18² - 14²
-Simplify
b² = 324 - 196
b² = 128
-Find the prime factors of 128
128 2
64 2
32 2
16 2
8 2
4 2
2 2
1
128 = 2⁶2¹
-Result
b = 11.31 or 8[tex]\sqrt{2}[/tex]
Answer:
21.32 Cm
Step-by-step explanation:
Add up the centiminer
Harry Potter is at Ollivanders Wand Shop. As we all know, the wand must choose the wizard, so Harry cannot make the choice himself. He interprets the wand selection as a random process so he can determine the probabilities of different outcomes.
The wood types available are holly, elm, maple, and wenge. The core materials on offer are phoenix feather, unicorn hair, dragon scale, raven feather, and thestral tail.
Let A be the event that Harry is chosen by a wand made of holly and B be the event that he is chosen by a wand with a dragon scale core.
Answer: The probability of being chosen by a wand made of holly or a wand made of dragon scale core is 0.4 or 40%
Step-by-step explanation: What we have are probabilities of two events. The first is the probability that Harry Potter is chosen by a wand made of Holly which is P(A). The other event is the probability that Harry is chosen by a wand with a dragon scale which is P(B).
In other to calculate P(A), there is a total of four possibilities, (that is holly, elm, maple and wenge). Therefore, the probability is derived as;
P(A) = Number of required outcomes/Number of all possible outcomes
P(A) = 1/4 or (0.25)
To calculate P(B), there is a total of five possibilities (that is phoenix feather, unicorn hair, dragon scale, raven feather and thestral tail). Therefore the probability is derived as;
P(B) = Number of required outcomes/Number of all possible outcomes
P(B) = 1/5 or (0.20)
However, the question requires the probability of P(A or B).
First we derive the probability of being chosen by a wand made of holly AND one made of a dragon scale core. In other words we shall calculate the probability of P(A and B) which is derived as;
P(A and B) = P(A) x P(B)
P(A and ) = 1/4 x 1/5
P(A and B) = 1/20 (0.05)
The probability of P(A or B) can now be calculated as follows;
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = (0.25 +0.20) - 0.05
P(A or B) = 0.45 - 0.05
P(A or B) = 0.40
Therefore the probability that Harry Potter is chosen by a wand made of Holly or a wand with Dragon scale core is 0.4 or 40%
Answer: P( A or B) = 2/5
Step-by-step explanation:
Which three statements are true as they relate to supply and demand? As supply rises, prices generally decrease. As demand decreases, costs generally increase. As supply decreases, prices increase. The average rate of change describes how much a quantity changes as price increases. As demand rises, the price of the product decreases.
As supply rises, prices decrease.
And The average rate of change describes how much a quantity changes as prices increases
As supply decreases, prices increase. It seems logical but I'm not 100% positive on the last one. I know the first 2 are right.
The statements that are true as they relate to supply and demand are: as supply rises, prices generally decrease; as demand decreases, prices generally increase; as supply decreases, prices increase.
Explanation:Supply and demand are fundamental concepts in economics. The law of supply states that as supply increases, prices generally decrease. This is because when there is a higher quantity supplied, producers compete to sell their products, leading to lower prices. On the other hand, the law of demand states that as demand decreases, prices generally decrease. When there is lower demand for a product, sellers may lower prices to attract more buyers.
Additionally, the statement that as supply decreases, prices increase is also true. When the quantity supplied decreases, the scarcity of the product can drive up prices as buyers are willing to pay more for limited supply. The average rate of change refers to how much a quantity changes as the price increases. It is not directly related to supply and demand dynamics, but rather focuses on the relationship between quantity and price. As demand rises, the price of a product generally increases. This is because as more people want to buy a product, sellers can charge higher prices since there is higher demand.
1 4/9 + 2 6/9 is equal to 4 1/9, true or false?
Answer: True
Explanation: To add mixed numbers, first add the fractions.
So here, we have 4/9 + 6/9 which is 10/9.
Then add the whole numbers.
So we have 1 + 2 which is 3.
So our answer is 3 and 10/9.
But notice, that since 10/9 is an improper fraction,
our answer is not in lowest terms.
10/9 can be rewritten as the mixed number 1 and 1/9.
So 3 and 10/9 is the same as 3 + 1 and 1/9 which is 4 and 1/9.
Since 4 and 1/9 is in lowest terms, this is our final answer.
So we can say that 1 and 4/9 + 2 and 6/9 is 4 and 1/9.
Having trouble with this problem. Please help
Answer:
A) 33 3/4°
Step-by-step explanation:
The supplement of an angle is the difference between 180° and the angle measure:
supplement of 146 1/4° = 180° -(146 1/4)°
= (180° -146°) -1/4° = 34° -1/4°
= 33 3/4° . . . . supplement of the given angle
Which of the following equations was used to graph the line shown?
Graph where both the axes run from minus sux to plus six and beyond. Straight lines intersect the aves at (6, 0) and (0, 6)
A. y = 6 + x
B. y = 6 – x
C. y = x – 6
D. y = 6x
The answer would be D since it forms a straight line along the x-axis
25 points no I need help with math
Answer:
1. 23.55 in
2. 102.36 mm
Step-by-step explanation:
First, the circumference of a circle is written as: [tex]C=\pi d=2\pi r[/tex], where either equivalence works and d = diameter and r = radius.
1. We know that d = 7.5, so we just plug this into the equation:
[tex]C=\pi *7.5=3.14*7.5=23.55[/tex]
Thus, the circumference is 23.55 inches.
2. We know here that r = 16.3, so we can plug this into the other equivalence:
[tex]C=2*\pi *16.3=2*3.14*16.3=102.364[/tex] ≈ [tex]102.36[/tex]
Thus, the circumference is 102.36 millimeters.
Hope this helps!
Answer:
1. 23.55 inches
2. 102.36 millimeters
Step-by-step explanation:
1. Circumference = pi × d
3.14 × 7.5
= 23.55 in
2. Circumference = 2pi × r
2 × 3.15 × 16.3 = 102.364 mm
From an airplane at an altitude of 1400 meters, the angle of depression to a rock on the ground measures 31°. Find the direct line distance from the plane to the rock. Round to the nearest tenth of a meter.
Answer:
1633.3 meters
Step-by-step explanation:
-Given the angle of depression is 31°, and the plane's height above the ground is 1400m.
-We use the Law of Sines to determine the distance between the plane and the rock.
-The angle of elevation from the rock to the plane is(corresponds to the plane's altitude):
[tex]\angle elevation=90-31\\=51\textdegree[/tex]
#Now, using Sine Law;
[tex]\frac{a}{Sin \A}=\frac{b}{Sin \ B}\\\\\\\frac{1400}{Sin \ 59}=\frac{d}{Sin \ 90}\\\\\\\\=1633.287\approx 1633.3\ m[/tex]
Hence, the direct distance between the plane and the rock is 1633.3 meters
To factor a trinomial you must find the product of "a" and "b" and find the sum of "c"
True
False
Answer:
true
Step-by-step explanation:
Please help me now please
Answer:
0.4444444
Step-by-step explanation:
2/3 x 2/3 = 0.4444 repeating!
Hope this helps!
What is the rate of the interest on $560 for two years is $145.60?
The rate of interest is 13%.
Step-by-step explanation:
Given,
Principal (P) = $560
Interest (I) = $145.60
Time (T) = 2 years
To find the rate of interest
Formula
If P principal was invested for T years at r% simple interest, the interest will be I = [tex]\frac{PTr}{100}[/tex]
So,
Putting the values of P, I, T we get,
145.60 = [tex]\frac{560X2Xr}{100}[/tex]
or, r = [tex]\frac{145.60X100}{2X560}[/tex]
or, r = 13%
Hence,
The rate of interest is 13%.
It took a skydiver 5 seconds to drop 400 feet. What is the
rate (in feet per/second) of the skydiver's drop?
80 feet per second
Step-by-step explanation:
just divide the amount he fell by the amount of time it took so you would take 400/5 and get the answer
Answer:
80
Step-by-step explanation:
If it took him 5 seconds to drop 400 feet then you have to divide it by 5 to determine the rate he can drop a certain amount of feet per second.
In a computer catalog, a computer monitor is listed as being 27 inches. This distance is
the diagonal distance across the screen. If the screen measures 15 inches in height, what
is the actual width of the screen to the nearest inch?
The width of the computer monitor is 22 inches
What is a Rectangle?
In a Rectangle
It is a four sided shape where every angle is a right angleThe alternative sides are equalTwo axes of symmetry bisect each otherDiagonals are equal in lengthThe diagonal equals the square root of the width squared plus the height squared
Given data ,
Let the Width of the rectangle be W
Diagonal of the rectangle = 27 inches
Height of the rectangle = 15 inches
D² = L² + W²
W² = D² - L²
W² = ( 27 )² - ( 15 )²
= 729 - 225
= 504
Therefore , Width W = √504
≈ 22.45 inches
≈ 22 inches
Hence , the width of the computer monitor is 22 inches
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Can 4 cm, 7 cm, 9 cm be a right triangle
Answer:
No
Step-by-step explanation:
For it to be a triangle c² = a² + b²
The longest side is c (9)
and 81 ≠ 49 + 16
Can I get brainliest
Answer:
No
Step-by-step explanation:
Since it might be a right triangle, we can test the values using the Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]
a and b are the legs, and c is the hypotenuse.
We know that 4 and 7 are the legs, or a and b. This is because they are two smaller sides. We know that 9 is the hypotenuse, or c. This is because it is the longest side.
[tex]4^2+7^2=8^2[/tex]
Solve the exponents
[tex]16+49=81[/tex]
65=81
[tex]65 \neq 81[/tex]
Since 65 does not equal 81, this cannot be a right triangle
Find: P (Red and Small)
Answer:
3/10
Step-by-step explanation:
If the mean of the data set is
4 bubbles, find the number of bubbles Hannah blew. khan academy
Answer: Hannah blew 1 bubble
Step-by-step explanation:
Mean * number of gum chewers= total bubbles
4*4=16
Let’s add up the numbers of bubbles that we do know.
4+5+6=15
16-15=1
Hannah blew 1 bubble
The number of bubbles Hannah blew can be expressed as 1
How can the number of bubbles Hannah blew be calculated?The study of variables and the formula manipulation principles is known as algebra. Its roots lie in the computation methods of ancient Babylonia, but now it is a mode of thinking that permeates practically all branches of mathematics.
Let number of bubbles Hannah blew =x
Then we can set up the equation as
[tex]\frac{1}{4} (4+5+6+x)=4[/tex]
15+x=16
x=16-15
x=1
Learn more about number at
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What is the value of cosθ given that (−2, −3) is a point on the terminal side of θ ?
Answer:
-0.555
Step-by-step explanation:
The terminal point of the vector in this problem is
(-2,-3)
So, it is in the 3rd quadrant.
We want to find the angle [tex]\theta[/tex] that gives the direction of this vector.
We can write the components of the vector along the x- and y- direction as:
[tex]v_x = -2\\v_y = -3[/tex]
The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:
[tex]tan \theta = \frac{v_y}{v_x}=\frac{-3}{-2}=1.5\\\theta=tan^{-1}(1.5)=56.3^{\circ}[/tex]
However, since we are in the 3rd quadrant, the actual angle is:
[tex]\theta=180^{\circ} + 56.3^{\circ} = 236.3^{\circ}[/tex]
So now we can find the cosine of the angle, which will be negative:
[tex]cos \theta = cos(236.3^{\circ})=-0.555[/tex]
.If a golf ball has a diameter of 4.3 centimeters and a tennis ball has a diameter of 6.9 centimeters. Find the difference between the volumes of the two balls.
Answer:
130.43 cm³
Step-by-step explanation:
To find the difference between the volumes of the balls, we must first find the volumes of the balls. To find the volume of each ball, we must first determine their shape. We understand that both balls are spherical.
The volume V of a sphere wit radius r is given as
V = 4/3 πr³
where r is the result when the diameter of the sphere is divided by 2.
Hence the radius of the Golf ball
= 4.3cm/2
= 2.15cm
radius of the tennis ball
= 6.9cm/2
= 3.45cm
The difference between the volumes of the two balls
= 4/3 π (3.45³ - 2.15³)
= 130.43 cm³
How many different combinations of 3 books can Erika take on a trip if she has 5 books
Answer:
10 combinations
Step-by-step explanation:
What we have to do is calculate the number of combinations of 3 in 5.
The formula for the combinations is:
nCr = n!/r!(n-r)!
in this case n = 5 and r = 3
replacing
5C3 = 5!/3!(5-3)! = 5!/(3!*2!)
5C3 = 10
So there are 10 combinations in which Erika can enjoy the books on her trip
Answer:
The number of different combinations of 3 books that Erika can take on a trip if she has 5 books is 10
Step-by-step explanation:
Here we have the formula for combination given as follows;
[tex]\binom{n}{r} = \frac{n!}{r!(n-r)!}[/tex]
Where n is the number of set elements = 5 and
r = Number of subset elements = 3
Therefore, plugging the values, we have;
[tex]\binom{5}{3} = \frac{5!}{3!(5-3)!} = \frac{120}{6(2)} = 10[/tex]
Therefore, the number of different combinations of 3 books that Erika can take on a trip if she has 5 books = 10.
Ortega is trying to fill three bags equally with sand. He wants the bags to weigh the same. If the bags currently weigh 55 pounds, 51 pounds, and 48 pounds. Can Ortega get each bag to weigh the same by moving the weight around?
Answer:
yes
Step-by-step explanation:
The average weight of the three bags is ...
(55 +51 +48)/3 = 154/3 = 51 1/3 . . . pounds
By removing 3 2/3 pounds of sand from the heaviest bag, adding 1/3 pound to the middle-weight bag, and the remaining 3 1/3 pounds to the lightest bag, Ortega can make all of the bags weigh the same: 51 1/3 pounds.
If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?
Answer:
375
Step-by-step explanation:500 equals 100% divide by 4 its 125 times 3 equals 375, your welcome
Answer:
They will need 375 hamburgers.
Step-by-step explanation:
Keeping the ratio in mind, we solve this problem by cross multiplying. Set up the ratio 4/3 and set it equal to the greater ratio of 500/(an unknown number of hamburgers, represented by x). Cross multiply to end up with the equation 4x=1500. (Cross multiplying is multiplying each numerator by the opposite denominator). Solve for x in the above equation using SADMEG. You divide 1500 by 4 and end up with 375 hamburgers.
Match each mathematical expression with its simplified form.
(2 +9+4)
(3 + 1 + 4 + 8)
Answer:
15 and 16
Step-by-step explanation: To get simplified form, you add the numbers in parentheses together. (2+9+4)= 15 and (3+1+4+8)=16
For problem 1. 2+9=11 11+4=15
For problem 2. 3+1=4 4+4=8 8+8=16
Hopefully this helped, and please add me as brainliest.
Final answer:
The simplified forms of the expressions (2 + 9 + 4) and (3 + 1 + 4 + 8) are 15 and 16, respectively. The placement of parentheses affects the outcome of mathematical operations significantly, and careful evaluation following the order of operations is essential for accurate simplification, particularly when nested expressions are involved.
Explanation:
The question requires matching each mathematical expression with its simplified form. Let's simplify the given expressions:
(2 + 9 + 4) simplifies to 2 + 9 + 4 = 15.
(3 + 1 + 4 + 8) simplifies to 3 + 1 + 4 + 8 = 16.
Now, to address your example concerning the importance of the placement of parentheses, consider the expression 2 + (3 x 5). If the parentheses are around (2 + 3), the result is different than if the parentheses are around (3 x 5). Without any parentheses, the order of operations dictates that multiplication is done before addition. Hence:
(2 + 3) x 5 = 5 x 5 = 25 (since addition within parentheses is done first, followed by multiplication).
2 + (3 x 5) = 2 + 15 = 17 (since multiplication within parentheses is done first, followed by addition).