Answer:
254.47
Step-by-step explanation:
1/4[tex]\pi[/tex]d^2
Somebody please help
Answer:
Yes, No, No, No
Step-by-step explanation:
To decide whether the point lies on the circle, what you need to do it simply substituting the x and y values into the equation and check if it add up to be 25
(-5)² + 0² = 25, = RHS [Yes]
1² + (√7)² = 8, ≠ RHS [No]
(√21)² + (-3)² = 30, ≠RHS [No]
0² + 7² = 49, ≠RHS [No]
Write the equation of the line that is perpendicular to y = -2/3 x +2 and goes through the point (-1, 4). Make sure your final answer is in slope-intercept form
Given:
The equation of a line is
[tex]y=-\dfrac{2}{3}x+2[/tex] ...(i)
The perpendicular line passes through the point (-1,4).
To find:
The equation of the perpendicular line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=-\dfrac{2}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let the slope of perpendicular line is [tex]m_1[/tex].
[tex]m\times m_1=-1[/tex]
[tex]-\dfrac{2}{3}\times m_1=-1[/tex]
[tex]m_1=\dfrac{3}{2}[/tex]
The slope of the perpendicular line is [tex]m_1=\dfrac{3}{2}[/tex] and it passes through the point (-1,4). So, the equation of the line is:
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-4=\dfrac{3}{2}(x-(-1))[/tex]
[tex]y-4=\dfrac{3}{2}(x+1)[/tex]
[tex]y-4=\dfrac{3}{2}x+\dfrac{3}{2}[/tex]
Add 4 on both sides.
[tex]y-4+4=\dfrac{3}{2}x+\dfrac{3}{2}+4[/tex]
[tex]y=\dfrac{3}{2}x+\dfrac{3+8}{2}[/tex]
[tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex]
Therefore, the equation of required line is [tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex].
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?
Answer: y = 10x + 30 is the correct answer
Can someone please help me with math.
Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?
Answer:
[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]
Step-by-step explanation:
[tex]\text{The given equation is:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]
[tex]\text{To find:}[/tex]
[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]
[tex]\text{From the given equation:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]
[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]
[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]
∴
[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]
[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]
[tex]\implies \dfrac{4b- 2}{4b}[/tex]
[tex]\implies \dfrac{2b- 1}{2b}[/tex]
Please do 6-7 ASAP
Answer:
Step-by-step explanation:
(6). y = [tex]\frac{1}{3}[/tex] x + 2 [ linear function ]
(7). y = 4 [ horizontal line, linear function ]
(8). x = 2 [ vertical line, not a function ]
Which expressions represent the product of a variable and a coefficient? Choose 3 answers: Choose 3 answers: (Choice A) A 11c11c11, c (Choice B) B \dfrac{1}{2}t 2 1 tstart fraction, 1, divided by, 2, end fraction, t (Choice C) C 5\cdot 105⋅105, dot, 10 (Choice D) D j\cdot 4j⋅4j, dot, 4
Question:
Which expression represents the product of a variable and coefficient?
Choose 3 answers
(A) 11c
(B) 1/2 t
(C) 5•10
(D) j•4
Answer:
(A) 11c
(B) 1/2 t
(D) j•4
Step-by-step explanation:
Required
Expression for variable and coefficient product
In algebra:
A coefficient can be anything (number of alphabets). However, a variable is always represented with an alphabet
Having said that:
Analyze each of the options
(A) 11c
Here, we have:
[tex]Variable = c[/tex]
[tex]Coefficient = 11[/tex]
(B) 1/2 t
Here, we have:
[tex]Variable = t[/tex]
[tex]Coefficient = 1/2[/tex]
(C) 5•10
Here, 5 and 10 are not variables
(D) j•4
Here, we have:
[tex]Variable = j[/tex]
[tex]Coefficient = 4[/tex]
So, the correct options are: (A), (B) and (D)
Answer:
A
B
D
Step-by-step explanation:
Pretty sure
4.
In a certain state, license plates have 2 letters followed by 5 digits. How many different license plates
are possible if
a) digits and letters can be repeated?
b)
digits and letters cannot be repeated?
Answer: A) 26_ 26 10_10_10_10_10 = 67,600,000
B) 26_25 10_9_8_7_6 = 19,656,000
Step-by-step explanation: A) There's exactly 26 letters in the Alphabet and it wants us to repeat it, so write 26_26. Since it's also asking for a 5 digits, write 10 five times because there's only 10 digits; 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Multiply the Numbers all-together which is equals 67,600,000.
B). Again, since the License plate has 2 letters, write the Number twice. However it cannot be repeated, so write 26_25. As for the 5 digits write the Number 5 times, but it also can't be repeated, so write 10_9_8_7_6 (Use commas if you want). Then Multiply the Numbers all-together which equals 19,656,000.
Find the median for each set of data. Round to the nearest tenth if necessary.
15, 42, 28, 32, 30, 34
A) 35
B) 37
C) 30
D) 31
Answer: The answer I got was D) 31
Step-by-step explanation:
Hope this helps!!!!!
Help me please is this right
A string requires 186n of force to break a 1.5 kg mass is tied to the string
Calculate the area of the shapes below.
Answer:
the answer should be 24ft
Step-by-step explanation:
Answer:
24 ft
Step-by-step explanation:
1/2hb
4=h
12=b
plug in
1/2(4)(12)= 24
a number , x, decreased by the sum of 4x and 6
Answer:
-3x - 6
Step-by-step explanation:
x - (4x + 6) becomes x - 4x - 6 after we've distributed the multiplication.
We can simplify this result as follows: -3x - 6
Pleasssssssse help me with this
Answer:
B. 15x-35
Step-by-step explanation:
multiply 5 by both 3x and -7
5(3x-7)
5(3x) 5(-7)
15x-35
Answer:
your answer will be option B
Step-by-step explanation:
hope it helps
4) Find the length of each side. Please help ASAP. I NEED it. I’m begging you!!
The perimeter of the rectangular top of a bookcase is 54 in. Find the length of the width is 7 in.
Step-by-step explanation:
P = L × B
54 = L × 7
54 = 7L
Therefore, L = 54 ÷ 7
L = 7.71
A race takes 3 hours to complete. If the
bikers were traveling at a constant speed, and
traveled 45 miles, how fast were the bikers
traveling?
Answer:
Speed is equals to distance divided by time
ie
45 ÷ 3
you get 15 miles per hour
Answer:
15 miles per hour
Step-by-step explanation:
Speed = distance travelled / time taken
= 45 / 3
=15
An airplane climbs at an angle of 11 decrease with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 ft.
A. 2057.82
B. 407.49
C. 76.32
D. 2096.34
Step-by-step explanation:
yall lazy figure this out yourself
Given: cos θ > 0, csc θ < 0
Which quadrant does θ lie?
A.) I
B.) II
C.) III
D). IV
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.
Answer:
one jar of pickles is $1.50, 49-47.50 =1.50
Step-by-step explanation:
Ted Stamos rented a minivan for 4 days for $88.00 per day plus $0.20 a mile for all miles
over 200. He drove 75, 120, 85, and 140 miles on the days rented. He paid a CDW fee of
$18.50 per day and $61.83 for gasoline. What is the (a) total cost, and (b) cost per mile?
Step-by-step explanation:maybe try diciding
What does a perimeter of this figure consist of? Please help asap please
Answer:
i think its the third section choice
If 54% of all people between the ages of 35 and 50 ride a bike, find the probability for a sample of 30 people in that age group exactly 15 ride a bike
Answer:
The probability is 0.1312
Step-by-step explanation:
Here, let us set up a binomial system
From the question, 54% ride a bike
Let p = people that rides a bike
54% = 54/100 = 0.54
p = 0.54
q = 1 - p = 1 -0.54 = 0.46 ( 46% do not ride bikes)
Now, for the binomial system, we have
P(X = 15) = 30 C 15 • p^15•q^15
We have;
30 C 15 * 0.54^15 * 0.46^15
= 0.131200268998
The probability is 0.1312
Evaluate the Expression when x = 6 and y = 5.
(x - 1) + (y - 1)
Answer:
9
Step-by-step explanation:
Erin uses 2/8 yard of string to make 1 bracelet. Erin will make 6 bracelets. (A) How many yards of string will Erin use to make 6 bracelets? Show or explain how you got your answer. Erin uses 3/8 yard of string to make 1 necklace. Erin will make 5 necklaces. (B) How many yards of string will Erin use to make 5 necklaces? Show or explain how you got your answer.
Answer:
use math papa
Step-by-step explanation:
Answer:
the answer is A because thats the answer
Penn State extension is interested in comparing the body length southern grass cicadas and citrus cicadas. The extension collected a random sample of 20 southern grass cicadas and found that they have a mean body length of 16.22 millimeters and a standard deviation of 1.34 millimeters. A separate random sample of 20 citrus cicadas resulted in a mean body length of 13.41 millimeters and a standard deviation of .73 millimeters. What is the standard error of the difference parentheses southern grass minus citrus) between the sample means
Answer:
The standard error between the sample mean is approximately 0.3412
Step-by-step explanation:
The equation for the standard error of a difference in sample mean of equal sample sizes is given as follows;
[tex]SE(\overline x_1 - \overline x_2)={\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The given parameters are;
The number of sample of southern grass cicadas, n₁ = 20
The mean body length of the southern grass cicadas, [tex]\overline x _1[/tex] = 16.22 mm
The standard deviation, s₁ = 1.34 mm
The number of sample of citrus cicadas, n₂ = 20
The mean body length of the citrus cicadas, [tex]\overline x _2[/tex] = 13.41 mm
The standard deviation, s₂ = 0.73 mm
[tex]SE(16.22 - 13.41)={\sqrt{\dfrac{1.34^{2} }{20}+\dfrac{0.73^{2}}{20}}} \approx 0.3412[/tex]
The standard error between the sample mean, SE ≈ 0.3412
Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays $37.50 for 2 adult tickets and 2 student tickets. The next week he goes back with his friends and pays $35.25 for 1 adult ticket and 3 student tickets. Choose the system of equations that can be solved to find the price of an adult ticket, x, and the price of a student ticket, y.
Answer:
the price of adult ticket and student ticket be $10.50 and $8.25 respectively
Step-by-step explanation:
Let us assume the price of adult ticket be x
And, the price of student ticket be y
Now according to the question
2x + 2y = $37.50
x + 3y = $35.25
x = $35.25 - 3y
Put the value of x in the first equation
2($35.25 - 3y) + 2y = $37.50
$70.50 - 6y + 2y = $37.50
-4y = $37.50 - $70.50
-4y = -$33
y = $8.25
Now x = $35.25 - 3($8.25)
= $10.5
Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively
PLZ HELP THIS IS TIMED;((((((
Answer:
34
Step-by-step explanation:
Diameter is twice length of radius
Answer:
Diameter=34 cm
D.
Step-by-step explanation:
Diameter=radius*2
17*2=34 cm
6) Ty is saving for college. His goal is to save 750 dollars each year and he wants to set
aside the same amount each month.
How much should Ty save per month?
• To meet his goal. Ty needs to save 3
per month
Answer:
ty should save $62.50 a month to meet his goal
What is the area of the parallelogram?