maths:Mr John thinks of a number he double it he' result is 58 what is Mr John number
Answer:
Let x the number Mr John thinks
He double it so 2×x=2x ( double = multiplying by 2 )
The result is 58
So 2x=58
We solve the equation
2x=58
So x =58/2
x=19
So it's 19 the number Mr John thinks
g 1.32 Two points on a sphere of radius 3 are given as P1(3,0,30) and P2(3,45,45): (a) Find the position vectors of P1 and P2. (b) Find the vector connecting P1 (tail) to P2 (head). (c) Find the position vectors and the vector P1P2 in cylindrical and Cartesian coordinates.
Answer:
a) P.V of is OP₁ = [ 1.5i + 0j + 2.6k ], P.V of is OP₂ = [ 1.5i + 1.5j + 2.12k ]
b) Vector connecting P₁ to P₂ is [ 0i + 1.5j + 0.48k ]
c) cylindrical coordinates are (1.5, π/2, 0.48)
Step-by-step explanation:
Given that;
r = 3
P₁ ( 3, 0°, 30° ), P₂ ( 3, 45°, 45° )
a)
P.V of P₁
x = rcos∅sin∅ = 3(cos0°) ( sin30°) = (3 × 1 × 0.5) = 1.5
y = rsin∅sin∅ = 3(sin0°) (sin30°) = (3 × 0 × 0.5) = 0
z = rcos∅ = 3(cos30°) = ( 3 × 0.866) = 2.6
∴ P.V of is OP₁ = [ 1.5i + 0j + 2.6k ]
P.V of P₂
x = rcos∅sin∅ = 3(cos45°) ( sin45°) = (3 × 0.7071 × 0.7071) = 1.5
y = rsin∅sin∅ = 3(sin45°) (sin45°) = (3 × 0.7071 × 0.7071) = 1.5
z = rcos∅ = 3(cos45°) = ( 3 × 0.7071) = 2.12
∴ P.V of is OP₂ = [ 1.5i + 1.5j + 2.12k ]
b)
Vector connecting P₁ to P₂ is given by
OP₂ - OP₁ = [ 1.5i + 1.5j + 2.12k ] - [ 1.5i + 0j + 2.6k ]
= [ 0i + 1.5j + 0.48k ]
c)
P₁P₂ → = [ 0i + 1.5j + 0.48k ] = [ 1.5j + 0.48k ]
so in a cylindrical coordinate, it should be
r = √(o² + 1.5²) = 1.5
∅ = tan⁻¹[y/π] = π/2
z = 0.48
cylindrical coordinates are (1.5, π/2, 0.48)
There are 12 peaches in a bananas in a fruit basket you get a snack for yourself and three of your friends by choosing four of the pieces of fruit at random .what is the probability that all four peaches ?
Answer:
10.2% chance
Step-by-step explanation:
There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.
So we can write it:
[tex]\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}[/tex] = [tex]\frac{11880}{116,280}[/tex] = .102 or 10.2% chance
For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.
12 * 11 * 10 * 9 = 11880
20 * 19 * 18 * 17 = 116,280
We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.
Answer:
10.2% probability
Step-by-step explanation:
12 peaches
8 bananas
Chance of getting a peach the first time is 12/20 the second time is 11/19, third 10/18, and fourth 9/17
11880/116280 = .1022 = 10.2% probability
Use set notation to list all the elements of the set. The natural number less than 37 that are divisible by 5.
Answer:
{5, 10, 15, 20, 25, 30, 35}
Step-by-step explanation:
The set can be listed (rostered). When it is, it will be ...
{5, 10, 15, 20, 25, 30, 35}
__
Set notation can also be used to describe the set as being a natural number less than 37 and divisible by 5:
[tex]\{n\in\mathbb{N}:(n<37)\land(n\mod{5}=0)\}[/tex]
The mean of a set of data is 4.68 and its standard deviation is 2.83. Find the z score for a value of 9.38. a.1.83 b.1.49 c.1.66 d.1.96
Answer:
[tex]z = 1.66[/tex]
Step-by-step explanation:
Given
Mean = 4.68
Standard Deviation (SD) = 2.83
Value, x = 9.38
Required
Determine the z score
z score is calculated using the following formula;
[tex]z = \frac{x - Mean}{SD}[/tex]
Substitute 9.38 for x; 2.83 for SD and 4.68 for Mean
[tex]z = \frac{9.38 - 4.68}{2.83}[/tex]
[tex]z = \frac{4.7}{2.83}[/tex]
[tex]z = 1.66[/tex] (Approximated)
Hence, the z score is 1.66
Given <1 and <2 are a linear pair, find the value of x if m<1 = 2x-5 and m<2 = 4x-7
This is geometry, and I need help because I don't know if it adds up to 90 or 180 degrees.
Answer:
32
Step-by-step explanation:
Linear pair means they form a line, or add to 180°.
2x − 5 + 4x − 7 = 180
6x − 12 = 180
6x = 192
x = 32
if a family has 7 children, what is the interval within which the "number of children they have really falls"
Answer:
Step-by-step explanation:
If a family has 7 children, what is the interval within which "the number of children they have" really falls.
Now, number of children is a discrete variable, not a continuous one.
You are sure that the family has 7 children because the question states that.
The true interval within which the number of children they have falls is (0 - 8)
One side of a triangle is one-fourth the longest side. The third side is 8 feet less than the longest side. The perimeter is 73. Find all three sides.
The sides gave lengths of __,__, and __
Answer:
b/4 +b + b-8 =73
2b + b/4 = 81
9b/4 = 81
9b =81 * 4
b = 9* 4
b = 36
The sides of the triangles are 9 inch, 28 inch and 36 inch respectively
Step-by-step explanation:
Show the steps to get full credit
3 (22 + 2) = 18 + 4(x – 5)
Answer:
[tex] \boxed{ \bold{ \huge \boxed{ \sf{x = 18.5}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3(22 + 2) = 18 + 4(x - 5)}[/tex]
Add the numbers : 22 and 2
⇒[tex] \sf{3 \times 24 = 18 + 4(x - 5)}[/tex]
Multiply the numbers : 3 and 24
⇒[tex] \sf{72 = 18 + 4(x - 5) }[/tex]
Distribute 4 through the parentheses
⇒[tex] \sf{72 = 18 + 4x - 20}[/tex]
Calculate the difference
⇒[tex] \sf{72 = - 2 + 4x}[/tex]
Swap the sides of the equation
⇒[tex] \sf{ - 2 + 4x = 72}[/tex]
Move 2 to right hand side and change it's sign
⇒[tex] \sf{4x = 72 + 2}[/tex]
Add the numbers : 72 and 2
⇒[tex] \sf{4x = 74}[/tex]
Divide both sides of the equation by 4
⇒[tex] \sf{ \frac{4x}{4} = \frac{74}{4} }[/tex]
Calculate
⇒[tex] \sf{x = 18.5}[/tex]
Hope I helped!
Best regards!!
Answer:
x=18.5
Step-by-step explanation:
3(22+2) =18 + 4(x-5)
3(24) = 18 + 4(x-5)
72=18+4(x-5)
4(x-5)+18=72
4x-20+18=72
4x= 72-18+20
4x=72+2
4x=74
x=74/4
x=18.5
Express the following expression in the form of a + bi: (39 + 34i) + (76 + 89i) - (47 +26i).
Answer:
68+97i
Step-by-step explanation:
work shown and pictured
Answer:
68+97i
Step-by-step explanation:
(39 + 34i) + (76 + 89i) - (47 +26i).
Distribute the minus sign
(39 + 34i) + (76 + 89i) + (-47 -26i)
Combine like terms
(39+76-47)+(34i+89i-26i)
68+97i
8y=(5y+24) find the value of y
[tex]8y=5y+24[/tex] collect like-terms
[tex]8y-5y=24[/tex] subtract
[tex]3y=24[/tex] now divide
[tex]y = \frac{24}{3}\\[/tex]
[tex]y=8[/tex]
plug in the value of [tex]y[/tex] to check if the answer is correct:
[tex]8y=5y+24\\8(8)=5(8)+24\\64=40+24\\64=64[/tex]
ergo, [tex]y = 8[/tex]
PLS HELP FOR BRAINLIEST ANSWER
Answer:
Point C which is 1.
Step-by-step explanation:
A = -6
E = 8
M = (A + E)/2
M = (-6 + 8)/2 = 2/2 = 1
The midpoint is 1 which is point C.
PLEASE HELP ILL PICK YOUR ANSWER AS THE BRAINLIEST FOR POINTS! Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability? * 1 point He could use 20 different coins and flip each coin once. He could use 10 different coins and flip each coin twice. He could flip the coin only 2 times. He could flip the coin 100 times.
Answer:
the first one im pretty sure
Step-by-step explanation:
Answer:
The First one is correct im pretty sure.
I need help with this
midpoint (-4.-27), endpoint (-5, -19)
Answer:
(-3,-35), and the slope is -8/1
Step-by-step explanation:
If you're trying to find the other endpoint, that's it, and the slope is -8/1
red and blue ceramic tiles are laid according to a pattern such that every 21 red tiles used, 4 blue tiles are used. if a total of 425 tiles are used, how many of them are blue? setup a proportion for this scenario( use x for your unknown number of blue tiles).
Answer:
X= blue tiles
Y = red tiles
X/y = 4/21
X+y= 425
Y= 357 tiles
X= 68 tiles
Step-by-step explanation:
red and blue ceramic tiles are laid according to a pattern.
The pattern= every 21 red tiles used, 4 blue tiles are used
Total number of tiles used = 425 tiles
X= blue tiles
Y = red tiles
X/y = 4/21
X+y= 425
21x= 4y
X= 4y/21
X+y= 425
4y/21 + y = 425
25y= 425(21)
Y=( 425*21)/25
Y= 357 tiles
X= 4y/21
X= (4*357)/21
X= 1428/21
X= 68 tiles
Using proportions, it is found that there are 68 blue tiles.
This question is solved by proportions, using a rule of three.For every 21 red tiles used, 4 blue tiles are used, hence, out of every 25 tiles, 4 are blue. How many blue tiles are there out of 425?The rule of three is:
4 blue - 25 total
x blue - 425 total
Applying cross multiplication:
[tex]25x = 4(425)[/tex]
[tex]x = \frac{4(425)}{25}[/tex]
[tex]x = 68[/tex]
There are 68 blue tiles.
To learn more about proportions, you can check https://brainly.com/question/24372153
1/2(30)-(40) this is on integers math maze freebie to search up
Answer:
hey thanks for ur points too
Step-by-step explanation:
Use the figure below. Find the value of KL. KL = 4x - 8 and KM = 6x − 4
Answer:
Equation:
LM = (1/2)KM
2x+4 = (1/2)(5x-6)
Hoped I helped
put a brainiest for me pls
The length of KL will be equivalent to 16.
What is the mid - point of the line segment?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints. It bisects the segment.Given is to that KL = 4x - 8 and KM = 6x − 4
Since [M] is the midpoint, so we can write -
KL = (1/2)KM
(4x - 8) = (1/2)(6x - 4)
4x - 8 = 3x - 2
4x - 3x = 8 - 2
x = 6
So -
KL = (1/2)(6 x 6 - 4)
KL = (1/2) x 32
KL = 16
Therefore, the length of KL will be equivalent to 16.
To solve more questions on mid - points, visit the link below -
https://brainly.com/question/24540801
#SPJ2
50. Error Analysis for each of the past four years, Paulo has grown 2 in. every year, He is now 16 years old and is 5 ft 10 in. tall. He figures that when he is 22 years old he will be 6 ft 10 in. tall. What would you tell Paulo about his conjecture?
Answer:
I'd say that it's a good start, but he is assuming that his rate of growth will remain the same.
Since there are relatively few people 6'10" tall, it's likely that his extrapolation is too high.
Maybe if he could study the growth rates and heights at various ages of people who did achieve 6'10" height, he would have a sounder basis for his theory.
The cost of renting a car is $75/wk plus $0.25/mi traveled during that week. An equation to represent the cost would be y = 75 + 0.25x, where x is the number of miles traveled. If your cost was $96.25, how many miles were you charged for traveling?
Answer:
We know we have to pay $75 per weel plus $0.25 for each mile we traveled, from that, if we call x the miles we have travelled, the total cost would be:
[tex]C = 75 + 0.25x[/tex]
As each mile we travel costs $0.25. Now that we have that expression, they ask us how many miles did we travel if we had to pay $96.25.
The only thing we have to do is replacing the C (our total cost) per $96.25 and solve the equation we get:
[tex]96.25=75+0.25x[/tex]
[tex]96.25-75=0.25x[/tex]
[tex]21.25=0.25x[/tex]
[tex]\frac{21.25}{0.25} = x[/tex]
[tex]85 = x[/tex]
We hve traveled 85 miles.
Refer to the figure below. (Remember: The sum of the thre
Find a if A = 75°.
Answer:
15°
Step-by-step explanation:
The sum of three interior angles in a triangle is 180.
180-90-75=15°
3
En el numeral 341, 427,538 ¿Cuál dígito está
en el lugar de la centena de
millón? *
(1 Punto)
O A. 2
B. 7
O
C, 4
O
D. 3
Answer:
The answer is D. 3
Step-by-step explanation:
A number refers to the expression of a quantity or a magnitude. In mathematics, a number represents a fixed quantity of something or generally of a number system.
The numbers have a fixed order that determines their value.
The numbers are in order of:
Unit = 8
Ten = 3
Hundred = 5
Unit of thousand = 7
Ten thousand = 2
Hundred thousand = 4
Million unit = 1
10 million = 4
And a hundred million represented by = 3.
Hi, what is the answer to 4 • 7 – 62 ÷ 3
Answer:
22/3
Step-by-step explanation:
[tex]4\times\:7-\frac{62}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:7=28\\=28-\frac{62}{3}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:28=\frac{28\times\:3}{3}\\=\frac{28\times\:3}{3}-\frac{62}{3}\\\\=\frac{28\times\:3-62}{3}\\\\28\times\:3-62=22\\\\=\frac{22}{3}[/tex]
Lynne was making cookies and she
wanted to double the recipe. If the
recipe requires 2 cups of flour, how
much flour will Lynne need?
Answer:
4 cups of flour
Step-by-step explanation:
We just need to double 2. The phrase "double" means to multiply by 2 so the answer is 2 * 2 = 4 cups of flour.
Divide 200cm in the ratio 5:3
Answer:
125 cm and 75 cm
125:75 = 5:3
Step-by-step explanation:
Let the number be 5x and 3x
we are taking these value because in ratio
a:b = ax:bx
that is if we multiply both part of ratio by a same number ratio remains same.
____________________________________________________
Since we have divided 200 cm in two parts with value 5x and 3x
Thus,
sum of 5x and 3x will be equal to 200 cm
5x+3x = 200cm
8x = 200cm
x = 25 cm
Thus,
first part = 5x = 5*25 = 125 cm
other part = 3x = 3*25 = 75cm
Mark is a nurse anesthetist. He administers medication that puts people to sleep for surgeries and other invasive medical procedures. For healthy adults, the manufacturer recommends using a dose of 0.6mcg/kg, which means that Mark must give his patients 0.6mcg of medication for each kg they weight. If Mark's patient weights 60kg, how much medication should he administer?
Answer:
Quantity of medicine provide to patient = 36 mcg
Step-by-step explanation:
Given:
Quantity recommend = 0.6 mcg / kg
Weight of patient = 60 kg
Find:
Quantity of medicine provide to patient
Computation:
Quantity of medicine provide to patient = Weight of patient × Quantity recommend
Quantity of medicine provide to patient = 60 × 0.6
Quantity of medicine provide to patient = 36 mcg
The lunch special at Karen’s restaurant is a sandwich, a drink and a dessert. THERE ARE 2 sandwiches, 4 drinks, and 1 dessert to choose from. How many lunch specials are possible?
Answer:
There are 8 possible combinations.
Look at this example:
2 sandwiches: PB&J, turkey sandwich
4 drinks: soda, water, lemonade, tea
1 dessert: cake
all 8 combos:
PB&J, soda, cakePB&J, water, cakePB&J, lemonade, cakePB&J, tea, caketurkey sandwich, soda, caketurkey sandwich, water, caketurkey sandwich, lemonade, caketurkey sandwich, tea, cakehope this helps
Which represents the solution set of the inequality 5x-9<21?
Answer:
Step-by-step explanation:
5x - 9 < 21
5x < 30
x < 6
PLEASE HELPPPPP ASAPPPPPP
Answer:
2208
Step-by-step explanation:
So first we can write this as 4(500+50+2)
Then we distribute it 4*500+4*50+4*2
Multiply to get 2000+200+8
So the answer is 2208
-7/10 is at least twice a number k minus 4. Write an inequality.
Answer:
-7/10 >= 2k - 4
Step-by-step explanation:
For this problem, we can simply follow the wording to write the inequality.
-7/10 is at least twice a number k minus 4
-7/10 >= 2k - 4
We use >= since is says at least, meaning it could be equal or greater than
We multiply k by 2 since it states the number is twice k
And we subtract 4 from the 2k since the number is "minus 4" from the twice k.
Thus, we have our inequality, -7/10 >= 2k - 4.
Cheers.