Answer:
I think it is 5.6e+12
Step-by-step explanation:
7. A boy on ice skates has a momentum of 200 kg m/s to the left at a velocity of 20
m/s. How fast is the boy going?
Answer: 10 m/s
Step-by-step explanation:
Given
Momentum of boy [tex]P=200\ kg.m/s[/tex]
Mass of boy is [tex]m=20\ kg[/tex]
Momentum is the product of mass and velocity
[tex]P=mv[/tex]
Substitute value
[tex]\Rightarrow 200=20\times v\\\Rightarrow v=10\ m/s[/tex]
Thus, the boy is moving with a velocity of 10 m/s
Please use the following scenario for this question and the following 4 questions. The national academy of sciences reported in a 1997 study that 40% of research in mathematics is published by US authors. The math chairperson of a university wishes to test the claim that this percentage is no longer 40%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 130 recent articles published by reputable math research journals and finds that 62 of these articles have US authors. Does this evidence support the math chairperson's claim that the percentage is no longer 40%
Answer:
The evidence does not support the math chairperson's claim that the percentage is no longer 40%
Step-by-step explanation:
The known population percentage of research in mathematics published by US authors = 40%
The proportion, p = 0.40
Therefore, q = 1 - p = 1 - 0.4 = 0.6
The number of articles in the sample = 130
The number of articles by US authors in the sample = 62
Therefore, the proportion of US authors in the sample, [tex]\hat p[/tex] = (62/130) × 100 =
[tex]0.4\overline{769230}[/tex]
∴ The percentage of US authors in the sample ≈ 47.7%
The null hypothesis, H₀; p = 0.4
The alternative hypothesis, Hₐ; p ≠ 0.4
The z-test is given as follows;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p\cdot q}{n}}}[/tex]
[tex]z=\dfrac{0.477-0.40}{\sqrt{\dfrac{0.4\times 0.6}{130}}} \approx 1.792[/tex]
The p-value P(Z > 1.79) = 2 × (1 - 0.96327) = 0.07346
Therefore, given that the p-value is larger than 0.05 there is significant evidence in favor of the null hypothesis and we reject the alternative hypothesis
Therefore, also, there is not enough statistical evidence to support the math chairperson's claim that the percentage is no longer 40%.
PLEASE HELP URGENT!!!!!!!!!!!!
Answer:
B) 155 sq. cm.
Step-by-step explanation:
225 - 70 = 155 sq. cm.
Answer:
i believe its B.
hope this helps.
its a benchmark, so do your best :)!
Eight people go to a movie. Adult tickets cost $15 and children's tickets cost $8
The total cost was $85. Write an equation and use it to help you find the numbers of
adults and children who went to the movie.
Answer: number of adults = 3, number of children = 5
Step-by-step explanation:
let the number of adults be x, and the number of children be y.
x + y = 8 , 15x + 8y = 85
1st equation x 8 = 8x + 8y = 64
[tex]8x+8y-15x-8y = 64 - 85\\-7x = -21\\x=3[/tex]
substitute x=3
[tex]3+y=8\\y=5[/tex]
If you place a 29-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
16.3
Step-by-step explanation:
The height of the building to the nearest tenth is 16. 3 ft
The situation forms a right triangle.
Properties of a right triangle:One of its angles is 90 degreesThe sides can can be found using Pythagoras theorem.The length of the ladder is the hypotenuse of the triangle formed.
The distance from the foot of the ladder to the bottom of the building is the adjacent sides.
Therefore,
c² = a² + b²
where
c = hypotenuse
a and b are the other two legs.
b² = 29² - 24²
b² = 841 - 576
b = √265
b = 16.2788205961
b = 16.3 ft
learn more on right angle here: https://brainly.com/question/23919428?referrer=searchResults
Plz help this is due by tomorrow
Answer:
3.4
Step-by-step explanation:
just divide 8.16 by 2.4
:)
Given that 1 inch =2.54 Gm how many centimeters are there in 4 feet?
Answer:
121.92
Step-by-step explanation:
There's 121.92 centimeters in 4 feet.
Hope this helps! :^)
Colton sold a total of 28 tee shirts and sweatshirts as a fundraiser for his football team. If tee shirts cost 12 dollars each and sweatshirts cost 20 dollars each and he raised a total of 424 dollars how many tee shirts did he sell?
Answer:
11 sweatshirts and 17 t shirts
Step-by-step explanation:
[tex]t + s = 28\\12t = 20s = 424[/tex]
Step one: cancel out one variable. In this one, t.
[tex]-12(t + s = 28)\\-12t -12s =-336[/tex]
Now that we have that, subtract that from the other expression.
[tex]12t + 20s = 424\\-12t -12s = 336[/tex]
You should get:
[tex]8s = 88\\ s = 11[/tex]
Plug s in any expression
[tex]t + 11 = 28[/tex]
You should know where to go from there, I'm lazy :p
Then t = 17
GOod Luck!!!!
Someone help please! <3
Answer:
I'm pretty sure it's D
Step-by-step explanation:
I could be wrong tho
Please show your work the answer is 80cm^2 I js need the work please will mark brainliest extra points
Answer:
30.1 ft²
Step-by-step explanation:
The area of a triangle with an included angle and two sides cam be found using the formula, A = ½*ab*sin(C)
a = 7 ft
b = 9 ft
C = 73°
Plug in the values
Area = ½*7*9*sin(73)
Area = 30.1235998 ≈ 30.1 ft² (nearest tenth)
Find the value of x.
X =
Tell whether the side lengths form a Pythagorean triple.
o yes
no
Answer:
x = √72 and yes, it forms a Pythagorean triple
Step-by-step explanation:
a^2 + b^2 = c^2,
3 is a, x is b, anf 9 is c
3^2 + x^2 = 9^2
9 + x^2 = 81
Subtract 9 from both sides
x^2 = 72
x = √72
a Pythagorean triple is a^2 + b^2 = c^2, and this has it
Answer:
X = 9.4
Step-by-step explanation:
Pythagorean Theorem:
Formula: a² + b² = c²
9 x 9 = 81 3 x 3 = 9 81 + 9 = 90 √90 = 9.48 (Rounded 9.5)- A Pythagorean triple consists of any three positive integers.
Beatrice sold a house for 225000 and makes 7.5% commission. How much does she make for the sale?
A) 1687.50
B) 16,875
C) 168,750
D) 1,687,500
HELPPPP ASAPPP
Shane wants to create a patio that is a parallelogram What is the m angle DAB of to ensure the patio is a parallelogram ?
2. Will the Science Club meet their goal if they
sell 30 T-shirts and 90 key chains? Explain in
terms of the graph of the inequality
Answer:
hope it helps
Step-by-step explanation:
Answer:
No, the Science Club will only make $480. On the graph, the point (,) is below the line, so it is not a solution of the inequality.
Step-by-step explanation:
just answered this, and this was the correct answer :) !
HELP, MCQ urgent, now
Answer:
angle 13 and 16 is your answer ☺️☺️☺️
Answer:
∠13 and ∠16.
Step-by-step explanation:
The definition of adjacent angles is "two angles that have a common vertex and a common side but do not overlap" (Varsity Tutors). In accordance with the standards, only angles 13 and 16 are adjacent.
Hope this helps!
2. At Best Buy, two flash drives and one new mouse for your
computer cost $55.00. How much does one flash drive cost?
(Mouse cost 22.00)
Answer:
I believe one flash drive would cost $16.50.
Step-by-step explanation:
55=2x+22
-22 -22
33=2x
/2 /2
16.50=x
Hope this helps! Have an Amazing day!!
what is family ?
saw this is wuestion
MARK ME AS BRAINLIEST OK FRIEND
Family is a group of people who want as well as choose to be together embraced by a bond so powerful and strong that not even the slightest test of trials and troubles can breach.Family means nobody gets left behind or forgotten.
Answer:
Hello There!!
Step-by-step explanation:
Family consists of parents and their children.
hope this helps,have a great day!!
~Pinky~
Find the measure of angle A If Angle A = 2x+18 and angle C = 3x+12
Answer:
Below in bold.
Step-by-step explanation:
2x + 18 + 3x + 12 = 180 (property of a cyclic quadrilateral).
5x = 180 - 18 -12
5x = 150
x = 30
So m < A = 2(30)+18
= 78 degrees.
The figure shows a person estimating the height of a tree by looking at the
top of the tree with a mirror. Assuming that both the person and the tree form
right angles with the ground, which of the following proportions can be used
to estimate the height of the tree?
Answer:
The proportion that can be used to estimate the height of the tree is option;
A. [tex]\dfrac{h}{12} = \dfrac{6}{5}[/tex]
Step-by-step explanation:
The given parameters in the question are;
The medium through which the person looks at the top of the tree = A mirror
The angle formed by the person and the tree with the ground = Right angles = 90°
The distance of the person from the mirror, d₁ = 5 ft.
The height of the person, h₁ = 6 ft.
The distance of the tree from the mirror, d₂ = 12 ft.
The angle formed by the incident light from the tree on the mirror, θ₁ = The angle of the reflected light from the mirror to the person, θ₂
Let 'A', 'B', 'M', 'T', and 'R' represent the location of the point at the top of the person's head, the location of the point at the person's feet, the location of the mirror, the location of the top of the tree and the location of the root collar of the tree, we have;
TR in ΔMRT = The height of the tree = h, and right triangles ΔABM and ΔMRT are similar
The corresponding legs are;
The height of the person and the height of the tree, which are AB = 6 ft. and TR = h, respectively
The distances of the person and the tree from the mirror, which are BM = 5 ft. and MR = 12 ft. respectively
∴ The angle formed by the incident light from the tree on the mirror, θ₁ = ∠TMR
The angle of the reflected light from the mirror to the person, θ₂ = ∠AMB
Given that θ₁ = θ₂, we have;
tan(θ₁) = tan(θ₂)
∴ tan(∠TMR) = tan(∠AMB)
[tex]tan\angle X = \dfrac{Opposite \ leg \ length \ to \ reference \ angle}{Adjacent \ leg \ length \ to \ reference \ angle}[/tex]
[tex]tan(\angle TMR) = \dfrac{TR}{MR} = \dfrac{h}{12}[/tex]
[tex]tan(\angle AMB) = \dfrac{AB}{BM} = \dfrac{6}{5}[/tex]
From tan(∠TMR) = tan(∠AMB), we have;
[tex]\dfrac{h}{12} = \dfrac{6}{5}[/tex]
[tex]\therefore h = \dfrac{6 \, ft.}{5 \, ft.} \times 12 \, ft. = 14.4 \, ft.[/tex]
The height of the tree, h = 14.4 ft.
Therefore, from the proportion [tex]\dfrac{h}{12} = \dfrac{6}{5}[/tex] the height of the tree can be estimated.
Factor the following polynomial 14x^2 - 35x
Answer:
The binomial 14[tex]x^{2}[/tex] - 35x can be factored as 7x(2x+5)
Step-by-step explanation:
When factoring, you want to factor each constant or variable by their greatest common factor (or GCF). Since [tex]14x^{2}[/tex] and [tex]35x[/tex] has a greatest common factor of 7x, factor each term by 7x and you'll get [tex]7x(2x+5)[/tex].
A mortgage has the terms shown below:
Balloon mortgage
$300,000
25/5 balloon
6% annual rate
Initial Monthly Payment: $1932.90
What is the amount of the balloon payment rounded to the nearest dollar?
Find the following measure for this figure.
A
Х
0/60°
6
B
Area of circle =
O 6 square units
O 12 x square units
36 x square units
Answer:
Find the following measure for this figure. Area of circle = 36 I square units. Image: Find the following measure for this figure.
Step-by-step explanation:
A child's ticket to a concert costs x and an adult ticket cost four times as much as a child's ticket The difference between Mrs. Royal ticket and her
child's tickets is $600.
(a) Write an equation to show this information.
(b) Solve your equation and write down the cost of an adult ticket.
Answer:
Mrs.Royal's ticket costs $800.
Step-by-step explanation:
Child's Ticket= x
Adult's Ticket= 4x
4x-x=600
3x=600
x=200
200*4=800
¿Cuántas cifras tiene el número quinientos cincuenta y cinco mil? Respuesta: ____________ CM DM UM C D U NÚM. DE CIFRAS
Answer:
6 cifras.
Step-by-step explanation:
Siempre que tengamos un numero que termina en "mil", entonces la primer parte la escribimos y luego ira una coma:
por ejemplo, en "ciento once mil trecientos catorce"
lo separamos en:
"ciento once mil" y "trecientos catorce"
y lo escribimos como:
"ciento once" , "trecientos catorce"
111,314
Ahora que definimos esto, vamos a nuestro problema.
Tenemos el numero "quinientos cincuenta y cinco mil"
El cual podemos escribir como:
555,000
Ahora simplemente podemos contar las cifras, tenemos 6.
las cuales son:
Cientos de miles = CM = 5
Decenas de miles = DM = 5
Un miles = UM = 5
Cientos = C = 0
Decenas = D = 0
Unidades = U = 0
Is -5, 12, 29, 46 an arthmetic sequence
Answer:
Yes
Step-by-step explanation:
Can someone plz help me
Answer:
A = 28.27
Step-by-step explanation:
Answer:
9pi meters^2
Step-by-step explanation:
The area of a circle is pi * r^2. Basically, pi is simplified to 3.14 but for an exact answer, you'd leave it as a symbol. the "r" stands for the radius which is given(3). we square 3 to get 9. so the answer should be 9 pi or about 28.26.
during a huge snowstorm in the White Mountains last year it snowed 66.5 cm in one day how much did it snow in meters?
Answer: It snowed 0.665 meters
hope this helps! :)
Answer:
Step-by-step explanation:
61.5cm= (6.15/100)m = .615m
Use the first three non-zero terms of a Maclaurin series to estimate the integral from 0 to 1 of the cosine of x squared, dx .
0.905
0.904
0.806
1.016
13 added to the product of an integer and negative 7 is 62
Answer:
Step-by-step explanation:
[tex](x*-7)+13 = 62[/tex]
[tex](x*-7) = 62 - 13[/tex]
[tex]x*-7 = 49[/tex]
[tex]x = 49 / -7[/tex]
[tex]x = -7[/tex]
check work
[tex]((-7)*-7)+13 = 62[/tex]
[tex](49)+13 = 62[/tex]
[tex]62 = 62[/tex]
Find the values of x and y . Write your answer in simplest form.
Answer:
y = 4 root 3, x = 8
Step-by-step explanation:
