Answer:
Step-by-step explanation:
For this case we have the following equation:
a = v ^ 2 / r
From here, we must clear the value of speed.
We have then:
v ^ 2 = a * r
v = root (a * r)
Answer:
the formula for the velocity is:
v = root (a * r)
Answer:
v=[tex]\sqrt{ar}[/tex]
Step-by-step explanation:
A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of continuous flight-time if the battery was fully charged before the flight. To test this, claim a sample of n = 10 drones were tested. The results showed a sample mean of 4.2 hours and a sample standard deviation of 0.4 hours. Conduct the hypothesis test using a 0.5 level of significance and determine whether or not the manufacturers claim is supported.
Answer:
The manufacturer's claim is not supported
Step-by-step explanation:
The time duration the battery of the foldable drone is said to last, μ = 4 hours
The number of drones that were tested, n = 10 drones
The sample mean, [tex]\overline x[/tex] = 4.2 hours
The standard deviation, s = 0.4 hours
The hypothesis test level of significance = 0.5
The null hypothesis, H₀; μ = 4
The alternative hypothesis, Hₐ; μ ≠ 4
The test statistic is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]
We get;
[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]
Therefore, the test statistic, t ≈ 1.58
The degrees of freedom, d. f. = n - 1
For n = 10, we have;
The degrees of freedom, d. f. = 10 - 1 = 9
From the t-table at 0.5 level of significance, the critical-t = 0.7
Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.
what is the interquartile range of the data shown in the box plot???
HELP
Answer: 14
Step-by-step explanation:
Take the values at either end of the box (80 and 66) and subtract.
Which of the following expressions represent “subtract 17 from x”
A. 17-x
B. x-17
C. -17x
D. -x-17
Answer:
B. x - 17
Step-by-step explanation:
It says to subtract 17 from x.
Answer:
B. x-17
Step-by-step explanation:
Estimate
9.7 + 42.9
HURRY PLEASE <3
Answer:
52.6 or you can make it 52.5
Step-by-step explanation:
If a quadratic function is concave down, which of the following is true?
a is positive
a is negative
a is zero
Answer:
a is negative i think
Which of the following phrases describes the expression 12−2x?
A
2 times a number decreased by 12
B
2 decreased by 12 times a number
C
a number times the quantity 12 decreased by 2
D
12 decreased by 2 times a number
Answer:
D
Step-by-step explanation:
it's self explanatory
12 is being decreased by 2x (x is a variable for a number)
Help .What is the measure of angle A?
Answer:
58
Step-by-step explanation:
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Can someone help me with this
Answer:
Options A, C, and F
Step-by-step explanation:
Choose the function whose graph is given by:
A. y= -sin x + 2
B. y= sin x + 2
C. y = cos x-2
D. y = -COS X + 2
Answer: y= sin x+2
Step-by-step explanation:
Option b. equation y= sin x + 2 is showing the given graph.
What is function?A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
The graph of equation y= sin x + 2 is showing in the picture.
Hence, equation y= sin x + 2 is showing the given graph.
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Solve the given polynomial by factoring. Check all answers that are correct.
f(y) = 3y^3 + y^2 + 9y + 3
A) y = 1/3
B) y = i√3
C) y = 3
D) y = -3
E) y = -1/3
F) y = ±i√3
I think it’s the first one, am I correct?
Explain!
Answer:
yes by SAS
Step-by-step explanation:
EN = RP
EM = PQ
Angle N = Angle R
Extend to find solutions that fit a second constraint in the formx *a, where inequality symbol and a is an integer. For example solve 3x + 4 >10, then find integers that satisfy bothx < 6 and 3x +4 >10.
Answer:
[tex]x = \{3,4,5\}[/tex]
Step-by-step explanation:
Given
[tex]3x + 4 > 10[/tex]
[tex]x < 6[/tex]
Required
Solve
We have:
[tex]3x + 4 > 10[/tex]
Collect like terms
[tex]3x > 10 - 4[/tex]
[tex]3x > 6[/tex]
Divide by 3
[tex]x > 2[/tex]
So, we have:
[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)
This implies that:
[tex]x = \{3,4,5\}[/tex]
when twice a number is increased by 10, the sum is 42.what is the number?
I NEED HELP WITH THIS ASAP PLEASE
Answer:
25.7, hope this helps
Step-by-step explanation:
Find the area of this circle. Use 3 for T.
A = r2
10 ft
[?] ft2
Step-by-step explanation:
Area of circle =πr²
3×5×575ft²stay safe healthy and happy.Answer:
The area is 75
Step-by-step explanation:
Because 10/2 is 5
5x5=25
25x3=75
3х +7
2х + 3
x= ? please help i’m almost done with school
Answer:
34
Step-by-step explanation:
Add them together
5x+10=180
5x+10-10=180-10
5x=170
5x/5=170/5
x=34
Answer plzz fast 5. What fraction of the students spent at least 8 hours doing homework
that week? Express in lowest terms. *
Answer:
4/5
Hope this helps!!
N
Which equation represents a proportional relationship?
Y=x+1/3
Y=3X+1/3
Y=1/3X
Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?
Find the value of x ???????????? V
Step-by-step explanation:
By using formula of h^2=p^2+b^2
h=20
p=x
b=10
Now,
p=root h^2-b^2
x=root 20^2-10^2
x=root 400-100
x=root 300
x= 10root3
When tossing a 6-sided die, the probability of tossing a multiple of 3 is 1/3. If you toss the die 70 times, about how many times would you expect to toss a multiple of 3?
Answer:
23.33 (rounded down 23)
Step-by-step explanation:
If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 120 degrees
Answer:
[tex]\angle 2 =60[/tex]
[tex]\angle 3 = 60[/tex]
[tex]\angle 4 = 120[/tex]
[tex]\angle 5 = 120[/tex]
[tex]\angle 6 = 60[/tex]
[tex]\angle 7 = 60[/tex]
[tex]\angle 8 = 120[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 120^\circ[/tex]
See attachment
Required
Determine the other angles
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are on a straight line.
So;
[tex]\angle 1 + \angle 2 =180[/tex]
Make [tex]\angle 2[/tex] the subject
[tex]\angle 2 =180 - \angle 1[/tex]
[tex]\angle 2 =180 - 120[/tex]
[tex]\angle 2 =60[/tex]
[tex]\angle 1[/tex] , [tex]\angle 4[/tex], [tex]\angle 5[/tex] and [tex]\angle 8[/tex] are corresponding angles.
So;
[tex]\angle 4 =\angle 1 = 120[/tex]
[tex]\angle 5 =\angle 1 = 120[/tex]
[tex]\angle 8 =\angle 1 = 120[/tex]
Similarly; [tex]\angle 2[/tex] , [tex]\angle 3[/tex], [tex]\angle 6[/tex] and [tex]\angle 7[/tex] are corresponding angles.
So;
[tex]\angle 3 =\angle 2 = 60[/tex]
[tex]\angle 6 =\angle 2 = 60[/tex]
[tex]\angle 7 =\angle 2 = 60[/tex]
Find the diameter of the reservoir. 18 m A 42 m В The diameter of the reservoir is meters.
Solve for t -7/4 =2/5t
Answer:
t = 35/12
Step-by-step explanation:
t - 7/4 = 2/5 t
t = 2/5 t + 7/4
t - 2/5 t = 7/4
t*(1-2/5) = 7/4
t*3/5 = 7/4
t = (7/4)/(3/5)
t = 7*5/4*3
t = 35/12
What is the solution of the system of equations?
y= 3x – 1-4x + 2y = 2
Answer:
X=2, y=5
Step-by-step explanation:
Y=3x-1 equation 1
-4x+2y=2 equation 2
-4x +2(3x-1)=2 substitute value of y (3x-1) in equation 1 into y value of equ e
-4x+6x-2=2 distributative property
2x=4 solve above equation
x=2
solve for y:
y=3x-1
y=3(2)-1
y=6-1
y=5
Tomato juice comes in three different sized cans. The red can contains 6 cups, the blue can contains 2 pints, and the yellow can contains 32 fluid ounces.
Answer:
the red cup contains the highest amount of tomato juice
the blue and yellow cup contain the same amount of juice
the difference between the highest amount and the lowest is 10 ounces
Step-by-step explanation:
convert all the other measurements to ounces
i cup = 8 ounces
6 x 8 = 42
1 p = 16 ounces
16 x 2 = 32
taylor's little sister is 3 feet and 4 inches tall. there are 2.54 centimetres in one inch. what is the height of taylor's sister in centimetres
Answer:
101.6 cm
Step-by-step explanation:
3 ft = 36 in
36 in + 4 in = 40 in
40 * 2.56 = 101.6 cm
Laura is walking for a local charity She earns 75 cents for every lap she walks How much does she earn for walking 50 laps
Answer:
She earns $ 37.5 by walking 50 laps
Step-by-step explanation:
This method is called unitary method.
If we know the value of 1 unit of an item we can calculate any number of units of item.
For 1 lap she earns 75 cents.
She walks 50 laps.
She earns for 50 laps = 50*75= 3750 cents
Now we have to converts cents into Dollars for convenience.
1$ = 100 cents
3750 /100 = $ 37.5
Which equation is equivalent to 3(1 – x) = 2x - (6x+3)?
Answer:
3-3x=-4x-3
Please correct me if I am wrong.
Step-by-step explanation:
Option A is equivalent to 3(1 – x) = 2x - (6x+3) That is :
3 – 3x = -4x+3
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given equation is :
3(1 – x) = 2x - (6x+3)
multiply 3 with inside the parenthesis in the left side of equation :
3 – 3x = 2x - (6x+3)
subtract 2x with 4x and simplify :
3 – 3x = 2x - 6x+3
3 – 3x = -4x+3
this result is equivalent to option A which will give the same result.
Therefore, Option A is equivalent to 3(1 – x) = 2x - (6x+3).
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If Malik purchases an iced coffee drink for $5.69 and leaves a $1 tip, what percentage did he tip?
Answer:
Malik tipped a 17.5% tip. You could also say he tipped a 17.6% tip depending on how you round. Both answers get you a dollar.