What is the equation of the line that is perpendicular to the line y= 3/5x+10 and passes through the point (15,5)?
Answers
Answer:
Step-by-step explanation:
This is really super super simple as long as you know the rules for finding a perpedicular slope from a given line. The perpendicular slope of a line is the opposite reciprocal of the given slope. Our given slope is 3/5, therefore, the perpendicular slope is -5/3. There's only one line with that exact slope, so the choice is the last one. (BTW, check the coordinate you gave. It should be
(15, -5), not (15, 5)!)
Related Questions
Area and circumference of this circle
Answers
Answer:
Step-by-step explanation:
Given: The radius is 6 cm
To find the area + circumference we need to use 2 formulas:
Area: pi* radius^2
Circumference: 2*pi*r
First we can do the area
I will use "pi" for pi instead of 3.14
pi * 6^2
= 36 pi
The area is 36 pi
Next, circumference
2 * pi *r
2*pi*6
= 12 pi
So the area is 36 pi, and the circumference is 12 pi
Mr. Suh puts $1,500.00 into savings bonds that pay a simple interest rate of 2.5%. How much money will the bonds be worth at the end of 10 years?
Answers
Answer:
i have no idea
Step-by-step explanation:
9)
10
22x - 2
8x + 2
A) 5
C) 8
B) 6
D) 2
I
Answers
Answer:
x+6
Step-by-step explanation:
180 divided by 30=6
Which u get 6
30*6=180
The answer is B
What is the value of x?
Answers
Answer:
B.35 is the value of x in the figure
The height of the tank is 11 m and the radius of the tank is 5 m. the height of the water is 6 m and the radius of the water is 3 m. how much more water in cubic meters could you fit in the tank?
Answers
Answer:
221 cubic metre.
Step-by-step explanation:
Volume of water in tank (v) = π × {3}^{2} × 6
= 54π cubic metre
Volume of tank (v') = π × {5}^{2} × 11
= 275π cubic metre
More Water that can be fit in the tank = v' - v
=275π - 54π
= 221π cubic metre.
ANS.
pls help I need a good grade
Answers
Answer:
D
Step-by-step explanation:
because in standard form the first number can not be greater than 10 above 10 it should be in points. e.g. D must be 6.12×10^5
Bowl B1 contains one white and two red chips; bowl B2 contains two white and two red chips; bowl B3 contains one white and four red chips. The probabilities of selecting bowl B1, B2, or B3 are 0.3, 0.2, and 0.5, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find:
a. P(W), the probability of drawing a white chip.
b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
Answers
Answer:
a) 0.3 = 30% probability of drawing a white chip.
b) 0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. P(W), the probability of drawing a white chip.
1/3(one white out of 3) of 0.3(from B1).
1/2(two white out of 4) of 0.2(from B2).
1/5(one white out of 5) of 0.5(from B3). So
[tex]P(W) = 0.3333*0.3 + 0.5*0.2 + 0.2*0.5 = 0.3[/tex]
0.3 = 30% probability of drawing a white chip.
b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
The probability of drawing a white chip from B1 is 1/3 out of 0.3, so:
[tex]P(B1 \cap W) = 0.3\frac{1}{3} = 0.1[/tex]
Then the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.3} = 0.3333[/tex]
0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answers
state what additional information is required in order to know that the triangles are congruent for the reason given. NO LINKS!!!!
Answers
Answer:
29) RD≅RS
30) KL≅YZ
Step-by-step explanation:
29) SSS means three sides must be congruent. Already sides TD and TS are marked congruent, and we know side TR is congruent to itself by the reflexive property. The third sides, RD and RS must be congruent if you're to use SSS.
__
30) HL means "hypotenuse, leg". The legs KJ and YX are already shown as congruent, so the hypotenuses KL and YZ must be congruent if you're to use HL.
For the point P(2,-14) and Q(9,-9) find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ
Answers
Answer:
Step-by-step explanation:
Distance : [tex]\sqrt{(x2-x1)^2 + (y2 - y1)^2} = \sqrt{(9-2)^2 + (-9+14)^2}= \sqrt{49 + 25} = \sqrt{74}[/tex]
Midpoint :
x (m) = (2+9)/2 = 11/2
y (m) = (-14-9)/2 = -23/2
M (11/2, -23/2)
how many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 50 L of a 50% alcohol solution
Answers
Step-by-step explanation:
Question 264138: How many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 20 liters of a 50% solution? x=8 gallons of 65% solution is used. 20-8=12 gallons of 40% solution is used.
please mark as brainliest
What is the volume of the cone in the diagram?
Answers
Answer:
471.24
Step-by-step explanation:
V=πr2h/3
radius = 5 and length = 18
answer = 471.24
please mark me brainliest!!
Answer:
The answer Plato wants is 150Pi,
Step-by-step explanation:
The following functions give the populations of four towns with time tt in years.
(i) P=600(1.12)^t
(ii) P=1,000(1.03)^t
(iii) P=200(1.08)^t
(iv) P=900(0.90)^t
Which town has the largest percent growth rate? What is the percent growth rate?
Answers
Solution :
Transforming given equations :
[tex]1)\ P = 600( 1 + \dfrac{12}{100})^t\\\\2)\ P = 1000( 1 + \dfrac{3}{100})^t\\\\3)\ P = 200( 1 + \dfrac{8}{100})^t\\\\4)\ P = 900( 1 - \dfrac{10}{100})^t[/tex]
From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .
Hence, this is the required solution.
Answer: (i), 12%
Step-by-step explanation:
Given
The Population of four towns is given
(i) [tex]P=600(1.12)^t[/tex] i.e.
[tex]\Rightarrow P=600(1+0.12)^t\\\Rightarrow P=600(1+12\%)^t[/tex]
rate=12%
(ii) [tex]P=1000(1.03)^t[/tex]
[tex]\Rightarrow P=1000(1+0.03)^t\\\Rightarrow P=1000(1+3\%)^t[/tex]
rate=3%
(iii) [tex]P=200(1.08)^t[/tex]
[tex]\Rightarrow P=300(1+0.08)^t\\\Rightarrow P=300(1+8\%)^t[/tex]
rate=8%
(iv) [tex]P=900(0.90)^t[/tex]
[tex]\Rightarrow P=900(1-0.10)^t\\\Rightarrow P=900(1-10\%)^t[/tex]
rate=10% fall
So, the largest growth rate is for town (i) i.e. 12%
i hat is the slope 6/-10 and 3/-13
Answers
Answer:
1
Step-by-step explanation:
Assuming your mean we have the points
(6, -10) and ( 3, -13)
We can use the slope formula
m = (y2-y1)/(x2-x1)
m = ( -13 - -10)/( 3 - 6)
= (-13+10)/( 3-6)
= -3 / -3
= 1
Question in in picture, please help
Answers
Step-by-step explanation:
256 mm3
cause volume of rectangular prism is l*b*h
Because 10x8x3.2= 256
i need help! plz (listing BRAINLIST and giving points) :D
Answers
Answer:
8 hours
Step-by-step explanation:
simple, divide 536 miles by 804 miles and multiply the fraction with 12 hours
fraction = 0.6666666 or 536/804 OR two thirds or 2/3
multiply 2/3 by 12 hours
it would take approximately 8 hours to arrive at 536 miles
42.
A toy store's percent of markup is 45%. A model train costs the store $100. Find the markaup.
(First gets brainliest)
Answers
Answer:
$68.97
Step-by-step explanation:
The equation you have to use is I=p(1.45)
If you have a 45% increase to 100, the original price was $68.97.
Based on a study, a theme park has reported that typical patrons were willing to pay
$64 for admission to the park. In the study, the theme park conducted a survey to
determine how much patrons were willing to pay for admission to the park. The park
asked 10 groups of 100 randomly selected patrons to choose a price from a list of
options. The price chosen most frequently by each group is shown in the table.
Answers
Answer:
A and D
Step-by-step explanation:
What’s the ara of each figure?
Answers
Answer:
433 in.²
Step-by-step explanation:
Divide the figure into 2 rectangles
Area of the figure = area of the bigger rectangle + area of smaller rectangle
✔️Area of bigger rectangle = L*W
L = 29 in.
W = 13 in.
Area of the bigger rectangle = 29*13
= 377 in.²
✔️Area of the smaller rectangle = L*W
L = 7 in.
W = 8 in.
Area of the bigger rectangle = 7*8
= 56 in.²
✅Area of the figure = 377 + 56 = 433 in.²
You can copy the data into Excel by highlighting the data, right-clicking and selecting Copy, then opening Excel, clicking on a blank cell, and selecting Paste from the Edit menu. Give your answers to at least 3 decimal places accuracy. Keep the data in Excel and keep the answers below handy, as you will need this information again in later questions. 2. Compute the following summary statistics a) The mean for the low income group is: b) The median for the low income group is: c) The standard deviation for the low income group is: d) The mean for the high income group is: e) The median for the high income group is: f) The standard deviation for the high income group is:
Answers
Answer:
Low income group :
Mean = 22.100
Median = 22.000
Standard deviation = 4.717
High Income group :
Mean = 19.771
Median = 20.000
Standard deviation = 3.255
Step-by-step explanation:
Low income : 19,20,13,28,21,27,16,21,19, 19,34,24, 24,14,24,25,23,22,20,21,14,23,17,26,24,24,20,24,27,16,22,17,29,20,25,22,20,34,24,22
High Income : 23 19 19 18 20 18 17 25 13 24 25 17 21 19 17 22 22 15 19 23 19 23 22 20 20 20 13 21 16 13 21 24 23 21 20
Using Excel :
Mean of low income, Σx / n = 884/40 = 22.100
Median of low income group : 1/2(n+1)th term = Median of low income = 22.000
Standard deviation of low income group :
√(Σ(x - mean)²/n) = 4.717
High Income group :
Mean of high income, Σx / n = 692/35 = 19.771
Median of high income group : 1/2(n+1)th term = Median of high income = 20.000
Standard deviation of low income group :
√(Σ(x - mean)²/n) = 3.255
(2+5i)+(-3-4i) what is the answer to this question?
Answers
Answer:
-1+i
Step-by-step explanation:
(2+5i)+(-3-4i)
=(2-3)+i(5-4)
=-1+i
Answer:
[tex]−1+i[/tex]
Step-by-step explanation:
[tex](2+5i)+(−3−4i)[/tex]
[tex]2+5i−3−4i[/tex]
[tex]−1+5i−4i[/tex]
[tex]−1+i[/tex]
Hope it is helpful.....The weight of a product is normally distributed with a mean of 4 ounces and a variance of .25 squared ounces. What is the probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces
Answers
Answer: 0.0228
Step-by-step explanation:
Let x be the weight of a product.
The probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces:
[tex]P(X>5)\\\\=P(\dfrac{X-Mean}{\sqrt{Variance}}>\dfrac{5-4}{\sqrt{0.25}})\\\\=P(Z>\dfrac{1}{0.5}) \ \ \ [z=\dfrac{X-Mean}{\sqrt{Variance}}]\\\\=P(z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ [\text{Using p value table}]\\\\=0.0228[/tex]
Hence, the required probability = 0.0228
Sorry the pic is fuzzy but can you help?
Answers
Step-by-step explanation:
may it be
9.6
may it help u
Nancy ate 34 ounces of cake. How much cake did she eat?
A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.
Nancy ate 34 ounces of cake. How much cake did she eat?
A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.
Answers
Answer:
the answer would be B: 2.125lb.
Answer: B; 2.125lb
Step-by-step explanation: 34 ounces to pounds is 2.13lb (rounded, the exact number is 2.125lb
A line has slope Four-thirds. Through which two points could this line pass? a. (24, 19), (8, 10) b. (10, 8), (16, 0) c. (28, 10), (22, 2) d. (4, 20), (0, 17) Please select the best answer from the choices provided A B C D
Answers
Answer:
a and c
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
i got it right
what is the measure and type of zy
Answers
9514 1404 393
Answer:
angle zoy is 70°, an acute angle
Step-by-step explanation:
Each of the 18 spaces around the 180° semicircle identifies 10° of arc. There are 7 spaces between rays z and y, so the angle zoy is 70°. It is less than 90°, so it is an acute angle.
A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold
for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the
difference in price per cubic inch?
Answers
Answer:
0.02
Step-by-step explanation:
5/69.12=0.0723
3/69.12=0.0434
0.0723-0.0434=0.0289
=0.02
Amy has a bag with 2 pink marbles and 3 purple marbles. She picks two marbles. How much greater is the probability of Amy picking two consecutive pink marbles if she replaces her first marble as opposed to her leaving the first marble she picks out of the bag?
Answers
Answer:
2/5 is the answer bc there are 5 total marbles and you have more purple marbles then pink ones so the answer is 2/5 or 40%
The medians of a triangle intersect at a point called the
A) centroid.
B) incenter.
C) midpoint.
D) median.
Answers
Answer:
Centroid
Step-by-step explanation:
A triangle only has three medians, which intersect at the centroid. A triangle also only has three vertices, which follows the three medians.
If a normal distribution has a mean of 104 and a standard deviation of 6, what is the z-score for a value of 110?
A. 1.5
B. 2
C. 1
D. 0.5
Answers
Answer: 1.5
mean: 104
S.D: 6
110-104/6=1.5