Answer:
t = 18 minutes.
Step-by-step explanation:
We can find the time by using the following kinematic equation:
[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]
[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
Δy: is the difference between the initial and the final height = 50.4 m
t: is the time
a: is the acceleration
v₀: is the velocity of the drill = 2.8 m/min
Since the speed of perforation is constant, the acceleration is zero so:
[tex]\Delta y = v_{0}t[/tex]
Then, by solving the above equation for "t" we have:
[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]
Therefore, it takes 18 minutes to drill the hole.
I hope it helps you!
What is x plsssss help
Answer:
x = 6 (brainliest..?)
Step-by-step explanation:
x² = 4(4 + 5)
x² = 36
x = 6
A bag contains 10 blue marbles, 7 white marbles, 6 red marbles, and 2 Green marbles. what is the probability of randomly selecting the blue marble?
Answer:
Step-by-step explanation:
Number of blue marbles = 10
Number of white marbles = 7
Number of Red marbles = 6
Number of Green marbles = 2
Total marbles = 10 + 7 + 6 + 2 = 25
Probability of selecting the blue marble = 10/25 = 2/5
A manufacturing company produces 275 units per day currently. The company's goal is to increase the number of units
manufactured per day by 50 each year. If the company meets its goal, how many units will it be producing per day 8 years
from now?
Select the correct answer below:
333
400
625
675
725
Answer:
D) 675 units per day.
Step-by-step explanation:
We can write a function to model the situation.
The company is currently producing 275 units per day.
And it will increase its production by 50 units after each year.
Therefore, after y years, its production in units per day will be:
[tex]f(y)=275+50y[/tex]
Then 8 years from now, the company will be producing:
[tex]f(8)=275+50(8)=275+400=675\text{ units per day.}[/tex]
Our answer is D.
Please help !
Find a.
Round to the nearest tenth:
27 cm
102
28
a = [? ]cm
Law of Sines: sin A
sin C
sin B
b
a
A=?
Given:
In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.
To find:
The value of a.
Solution:
Let the given triangle be ABC, such that,
[tex]m\angle B=28^\circ[/tex]
[tex]m\angle C=102^\circ[/tex]
[tex]b=27\ cm[/tex]
Using angle sum property of triangles, we get
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]
[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]
[tex]m\angle A=50^\circ[/tex]
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]a\approx 44.06[/tex]
Therefore, the value of a is about 44.06 cm.
PLEASE TELL ME PLEASE
Answer: D!! also 35% are spotted
Answer:
The answer is a.
Step-by-step explanation:
This is because the percent is out of 100 and the flock of spotted sheep is placed in the numerator.
A snake at the zoo is 4 feet long. A scale model of the snake is 2 inches long. What is the scale factor?
Use the information and table to answer the following questions.
A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance.
18-23 years old 24-29 years old 30-35 years old Totals
Drama 8 15 11 34
Science Fiction 12 10 8 30
Comedy 9 8 12 29
Totals 29 33 31 93
1. State the Null Hypothesis
A) Age and type of movie preferred are not independent.
B) Age and type of movie preferred are independent
C) Age and type of movie preferred are not the same
D) Age and type of movie preferred are related.
E) Cannot be determined.
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
B) Age and type of movie preferred are independent.
C) Age and type of movie preferred are not related
D) Age and type of movie preferred are superior.
E) Cannot be determined.
Answer:
1. B) Age and type of movie preferred are independent
2.A). Age and type of movie preferred are dependent.
Step-by-step explanation:
1. State the Null Hypothesis
B) Age and type of movie preferred are independent
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
This is chi square independence test therefore we will test the independence of the two factors age and the type of movie preferred.
The null hypothesis is formulated as
Age and type of movie preferred are independent
against the claim
Age and type of movie preferred are dependent.
Ana is baking cookies for her family reunion. Her recipe uses 3/4 cup sugar and has a yield of 24 cookies. How many cups of sugar will Ana need if she wants to bring 10 dozen cookies? (1 dozen = 12).
9514 1404 393
Answer:
3 3/4 cups
Step-by-step explanation:
The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.
As a mixed number 15/4 = 3 3/4.
Ana will need 3 3/4 cups of sugar for 10 dozen cookies.
Answer:
Solution given:
recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's
now
we have
2 dozen=3/4 cup of sugar
10dozen=3/4×10/2=15/2 cup of sugar is needed
The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.
What is the z-score of a beetle of this species with a length of 2.38 centimeters?
Enter your answer in the box.
Enter your answer, rounded to the nearest tenth, in the box.
Answer:
The z-score of a beetle with a length of 2.38 centimeters is 2.4
Step-by-step explanation:
As we know,
z = (x - µ)/σ
x is the length of the beetle species.
µ is the mean length
σ is the standard deviation
Substituting the given values in above equation, we get
z = (2.38 - 1.9)/0.2
z = 0.48/0.2
z = 2.4
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?
A) 0.1135
B) 0.2450
C) 0.9423
D) 0.9932
Answer:
this is the answer!!
Step-by-step explanation:
$1234 is invested at 5.6% annual interest for 7 years.
a. Simple Interest b. Compound Interest
Answer:
A) $1,717.73.
B) $1,807.02.
Step-by-step explanation:
Given that $ 1234 is invested at 5.6% annual interest for 7 years, to determine the final amount applying a simple interest and a compound interest, the following calculations must be performed:
A)
1234 + ((1234 x 0.056) x 7) = X
1234 + (69.104 x 7) = X
1234 + 483.728 = X
1717.728 = X
Therefore, applying a simple interest of 5.6% per year, in 7 years the amount invested would be $ 1,717.73.
B)
1234 x (1 + 0.056) ^ 7 = X
1234 x 1.056 ^ 7 = X
1234 x 1.464 = X
1,807.02 = X
Therefore, applying compound interest, the sum would become $ 1,807.02.
Can someone please help me I will give u brilliant
Answer:15
Step-by-step explanation:
Answer: The value of the median is 15.
Step-by-step explanation:
7.2x14.3 what is that?
Answer:
102.96
Step-by-step explanation:
Answer:
[tex]102.96[/tex]
Step-by-step explanation:
7 . 2
× 14 . 3
___________
²2 . 16
²28 . 80
72 . 00
____________
¹1¹02.96
Therefor, the answer is 102.96
Which condition would prove △JKL ~ △XYZ
The Answer Is KL/YZ=8
have an amazing day <3
Answer:
D
Step-by-step explanation:
JL/XZ = 8
In the
accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC?
Answer:
72°
Step-by-step explanation:
4+2+6+8=20
360÷20=18
AC=4x18=72
1. 5(2a-b)
2.7(3x+y)-(2x -y)
3.(a+4) (a+3)
4.(5x+y) (2x+3y)
5.(m+n) (m-n)
6.(p- 2q) (p-2q)
Answer:
1. 10a - 5b
2. 19x + 8y
3. a2 + 7a + 12
4. 10x2 + 17xy + 3y2
5. m2 - n2
6. p2 - 4pq + 4q2
please help with this problem
Answer:
C. equilateral
Step-by-step explanation:
Since each of the angles of Triangle ABC have equivalent values (each are 60 degrees), each of the sides also must have equivalent values.
Thus, since all three sides are the same length, the triangle created is equilateral.
Have a nice day! ^-^
Help fast pls. I will surely mark you brainliest. Answer step by step
Sohail, Amar, raja, and Mira go to a restaurant to have diner, Sohail pays 1/5 of the bills, Amar pays 2/5 of it and the balance is shared equally between raja and Mira. Who pays the maximum amount?
Answer:
Amar pays the most
Step-by-step explanation:
Amar pays the most, because Mira and Raja split the bill, so they onyl need to pay 1/5 each. However, Amar needs to pay 2/5 which is the most.
Hope this helps!
Find the value of x. Round to the nearest tenth. x=
27 , 34 , 11 ,
Will give brainliest
Answer:
13.5
Step-by-step explanation:
your teacher wrote all the tools you need down already.
we only need to apply them.
is that really so difficult ?
because of the law of sines we have
sin(27)/11 = sin(34)/x
we can also turn this upside down to simplify the calculation.
11/sin(27) = x/sin(34)
x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5
there, that was all there was to it ...
Helpppppp pleaseeeeeeee
Answer:
16 2/3
Step-by-step explanation:
If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.
Answer: Second option.
Step-by-step explanation:
First it is important to remember the definition of Dilation.
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.
In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.
According to the exercise, the point C has these coordinates:
Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.
Then, you get that the coordinates of the point C' are:
14. Classify the figure below. Identify how many faces, vertices, and edges.
Answer:
5 faces
8 edges
5 vertices
A welder is making a metal sphere. The diameter will be 130 inches. What is the surface area of the metal sphere? Use 3.14 for π and round to the nearest tenth.
Answer:
53092.92 square inches
Step-by-step explanation:
Surface Area of a Sphere = 4πr2
Radius = ½D = 130÷2 = 65
4 × 3.14 × 65² = 53092.92
f(x)= x+3
h(x)= x^2+4
Find (f•h)(x)
Answer:
x³+3x²+4x+12
Step-by-step explanation:
you are going to write both equations and distribute. if there are like terms, combine them and then put it order.
(x + 3) × (x² + 4)
x³ + 4x + 3x² + 12
when putting in order, you want the highest power to the left and then the lowest power to the right.
so
x³+3x²+4x+12
Find the values of x and y to make the equation true.
-2x + 61 = (-24y)i - 14
What’s 22,000 - 407% of 60?
Answer:
21,755.8
Step-by-step explanation:
To solve this equation, we must first find 407% of 60.
To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.
407/100 x 60/1 = 24,420/100
24420 / 100 = 244.2
244.2 is 407% of 60.
Lastly, you subtract 244.2 from 22,000.
22,000 - 244.2 = 21,755.8
Answer:
21755.8
Step-by-step explanation:
407%=4.07
4.07*60=244.2
22,000-244.2=21755.8
An employee put $10,000 in a retirement
account that offers 4% interest
compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
A) $4,520.14
B) $5,200.36
C) $6,010.32
D) $7,340.18
PLS ANSWER ASSP WILL GIVE BRAINLIEST ANSWER
C. $6010, I plugged the information into a simple compound interest calculator.
Can someone help me with this problem please. ( I need it as fast as possible).
Answer:
D-B-A-C
Step-by-step explanation:
find the arthmetic and the geometric means of 4 and 9
Answer:
Step-by-step explanation:
first term (a) = 4
last term (b) = 9
Arithmetic mean (AM)
= ( a + b) / 2
= ( 4 + 9 ) / 2
= 13/2
= 6.5
Geometric mean (GM)
= √a *b
=√4 * 9
=√36
= 6
hope it helps :)
For what value of z would the following system of
equations be true for all real integers?
3x-2y = 14
-12x+8y = 8z
9514 1404 393
Answer:
z = -7
Step-by-step explanation:
The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.
Already, we observe that the ratios of x- and y-coefficients are -4:
-12/3 = -4
8/-2 = -4
The equations will be dependent when the constants have that same ratio:
8z/14 = -4 . . . . desired ratio
8z = -56 . . . . . multiply by 14
z = -7 . . . . makes the equations true for all real numbers
_____
Comment on the question
The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.
However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".
Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.
Answer:
z = -7 is the answer.Step-by-step explanation:
#CarryOnLearning