Answer:
172m
Step-by-step explanation:
From the question above we are told:
The distance of the submarine below the surface = 55m
The distance of the underwater robotic vehicle below the surface = 227m
The distance between the underwater robotic vehicle and the submarine is calculated as:
The distance of the underwater robotic vehicle below the surface - The distance of the submarine below the surface
= 227m - 55m
= 172m
Therefore, the distance between the underwater robotic vehicle and the submarine is 172m
? QUESTION
Write 5.25% as a fraction in simplest form.
Answer:
5 1/4
Step-by-step explanation:
5 is the whole number so we up it aside.
Then we are left with 25/100,when we simplify that 25 into 25 is 1.
25 into 100 is 4 times.
Therefore we are left with 1/4.
I hope this helps :)
Answer:
5 1/4 because 1/4=25 and not only that u could do 5 25/100 and simplfy and u get 5 1/4
Step-by-step explanation:
find the average rate of change if the function f(x)=x^2+4x from x1=2 to x2=3
Replace x with 2 and solve:
2^2 + 4(2) = 4 + 8 = 12
Replace x with 3 and solve:
3^2 + 4(3) = 9 + 12 = 21
The difference between the two answers is : 21 -12 = 9
The difference between the two inputs is 3-2 = 1
The rate of change is the change in the answers I’ve the change in the inputs:
Rate of change = 9/1 = 9
Using π = 3.14, find the area of a circle with a radius of 4.2. Round your answer to the nearest hundredth. will give brainliest
Answer:
55.39 units ^2Step-by-step explanation:
A=pi*r^2
A=3.14*4.2^2
A=3.14*17.64
A=55.3896
A≈55.39 units ^2
Answer:
55.42
Step-by-step explanation:
So since we know that how you calculate a circle's area is the formula -->
π (r)^2 (r is radius), We can simply just plug all the numbers in -->
3.14 (4.2)^2 => 4.2 squared is 17.64 => 3.14 (17.64) = around 55.417 but since we want to round it to the nearest hundred, we get 55.42
Hope this helps!
Question 65
Find area of figure. Round to the nearest hundredth if necessary.
rectangle with circle taken out
5.0 m
10.4 m
(Use 3.1 4 for a.)
Answer:
32.38 square m
Step-by-step explanation:
Diameter of semicircle = 5 m
Hence, radius = 5/2 = 2.5 m
Area of figure = Area of rectangle - 2 times area of one semicircle
[tex] = l \times b - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = 10.4 \times 5 - \pi {r}^{2} \\ = 52 - 3.14 \times {(2.5)}^{2} \\ = 52 - 3.14 \times 6.25 \\ = 52 - 19.625 \\ = 32.375 \\ \approx 32.38 \: {m}^{2} \\ [/tex]
if it takes four men to dig a land in 6 days.how many days will it take 6 men to build that same land.
Answer:
4 daysSolution,
____________________________
Men ------------------------------ Days
4 ------------------------> 66 ------------------------> X (suppose)_____________________________
In case of indirect proportion,
4/6= 6/X
or, 6*X= 6*4 ( cross multiplication)
or, 6x= 24
or, 6x/6= 24/6 ( dividing both sides by 6)
x= 4 days
Hope this helps...
Good luck on your assignment..
Answer:
[tex]\boxed{4 days}[/tex]
Step-by-step explanation:
M1 = 4
D1 = 6
M2 = 6
D2 = x (we've to find this)
Since, it is an inverse proportion (more man takes less days for the work to complete and vice versa), so we'll write it in the form of
M1 : M2 = D2 : D1
4 : 6 = x : 6
Product of Means = Product of Extremes
=> 6x = 4*6
=> 6x = 24
Dividing both sides by 6
=> x = 4 days
Lagrange's four-square theorem states that every positive integer can be written as the sum of four or
fewer square numbers. For instance, 23 - 32+32 +22+12 and 30 -5° +2° +1°. Write each
of the following integers as the sum of four or fewer square numbers.
a. 15
b. 24
0.33
d. any 3-digit, positive integer of your choosing
Answer:
15 = 3² +2² +1² +1²24 = 4² +2² +2²33 = 4² +4² +1²624 = 22² +10² +6² +2²Step-by-step explanation:
It doesn't always work to choose the largest possible square first.
a. 15 = 9 + 4 + 1 + 1 = 3² +2² +1² +1²
b. 24 = 16 + 4 + 4 = 4² +2² +2²
c. 33 = 25 + 4 + 4 = 5² +2² +2²
d. 624 = 484 +100 +36 +4 = 22² +10² +6² +2²
A 98% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A preliminary sample standard deviation is 1.7. The smallest sample size n that provides the desired accuracy is
Answer:
[tex] n = (\frac{2.326*1.7}{0.3})^2= 173.73[/tex]
And the value for n rounded up would be n = 174
Step-by-step explanation:
We have the following info given:
[tex] s= 1.7[/tex] previous estimation for the deviation
[tex] ME=0.03[/tex] the margin of error desired
[tex] Conf =0.98[/tex] represent the confidence
The Margin of error is given by:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
If we solve for the value of n we got:
[tex] n= (\frac{z*\sigma}{ME})^2[/tex]
For this problem we know that the confidence is 98% so then the significance level would be [tex]\alpha=0.02[/tex] and the critical value would be:
[tex] z_{\alpha/2}= 2.326[/tex]
And replacing we got:
[tex] n = (\frac{2.326*1.7}{0.3})^2= 173.73[/tex]
And the value for n rounded up would be n = 174
A kite 100 feet above the ground is being blown away from the person holding its string in a direction parallel to the ground at a rate of 10 feet per second. At what rate must the string be let out when the length of string already let out is 200 feet? (Hint: start by drawing a picture. There should be a triangle involved.) You need not simplify your answer.
Answer:
5√3 ft/s
Step-by-step explanation:
Let h represent the horizontal distance of the kite from the person. Let s represent the string length. Then the Pythagorean theorem tells us ...
s^2 = 100^2 + h^2
2s·ds/dt = 0 + 2h·dh/dt
ds/dt = (h/s)·dh/dt
So, we need to know the horizontal distance when s=200.
200^2 = 100^2 + h^2
40000 -10000 = h^2
h = 100√3
Substituting known values into the equation for ds/dt, we have ...
ds/dt = (100√3)/(200)(10 ft/s) = 5√3 ft/s
The string must be let out at 5√3 ft/s when it is already 200 ft long.
Anja is choosing her extracurricular activities for the year. She can choose one sport to play and one instrument to learn using the list below:
Sports: softball, basketball, tennis, or swimming
Instruments: guitar, piano, or clarinet. How many combinations are possible?
Answer:
The number of possible combinations of sports and instrument that Anja can select is 12.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot(n-k)!}[/tex]
It is said that Anja can choose one sport to play and one instrument to learn using the list below:
Sports: softball, basketball, tennis, or swimming
Instruments: guitar, piano, or clarinet.
There 4 options for sports and 3 for an instrument.
Compute the number of ways to select one sport to play as follows:
[tex]n (S)={4\choose 1}=\frac{4!}{1!\cdot(4-1)!}=\frac{4!}{3!}=\frac{4\times3!}{3!}=4[/tex]
Compute the number of ways to select one instrument to learn as follows:
[tex]n(I)={3\choose 1}=\frac{3!}{1!\cdot(3-1)!}=\frac{3!}{2!}=\frac{3\times2!}{2!}=3[/tex]
Compute the number of possible combinations of sports and instrument that Anja can select as follows:
Total number of possible combinations = n (S) × n (I)
[tex]=4\times 3\\=12[/tex]
Thus, the number of possible combinations of sports and instrument that Anja can select is 12.
Answer:
12
Step-by-step explanation:
Amit solved the equation StartFraction 5 over 12 EndFraction = Negative StartFraction x over 420 EndFraction for x using the steps shown below. What was Amit’s error?
Answer:
The product of 5/ 12 and –420 should have been the value of x.
Answer: D
Step-by-step explanation:
Took the test
Find the critical value z Subscript alpha divided by 2 that corresponds to the given confidence level. 80%
Answer:
[tex] Conf= 0.80[/tex]
With the confidence level we can find the significance level:
[tex]\alpha =1-0.8=0.2[/tex]
And the value for [tex]\alpha/2=0.1[/tex]. Then we can use the normal standard distribution and we can find a quantile who accumulates 0.1 of the area on each tail and we got:
[tex] z_{\alpha/2}= \pm 1.28[/tex]
Step-by-step explanation:
For this problem we have the confidence level given
[tex] Conf= 0.80[/tex]
With the confidence level we can find the significance level:
[tex]\alpha =1-0.8=0.2[/tex]
And the value for [tex]\alpha/2=0.1[/tex]. Then we can use the normal standard distribution and we can find a quantile who accumulates 0.1 of the area on each tail and we got:
[tex] z_{\alpha/2}= \pm 1.28[/tex]
Erika has 3 pieces of ribbon. Each piece is 25 yards long. She needs to cut pieces that are 22 inches long. What is the greatest number of 22 inch pieces she can cut from the 3 pieces of ribbon
Answer:
She can cut 122 pieces.
Step-by-step explanation:
She has 3 pieces of ribbon that are 25 yds long. In total, she has 75 yds, which is equal to 2700 in. Erika needs 22 in. pieces, so just divide 2700 by 22 to get your number.
2700/22 ≈ 122.72
An urn contains 4 white balls and 7 red balls. Three balls are selected. In how many ways can the 3 balls be drawn from the total of 11 balls: (a) If 2 balls are white and 1 is red? (b) If all 3 balls are white? (c) If all 3 balls are red?
Answer:
(a) 2 white & 1 red ball = 42 ways
(b) All 3 white balls = 4 ways
(c) All 3 red balls = 35 ways
Step-by-step explanation:
An urn contains 4 white balls and 7 red balls. Three balls are selected.
In how many ways can the 3 balls be drawn from a total of 11 balls:
(a) If 2 balls are white and 1 is red?
The 2 white balls can be selected in ⁴C₂ ways
The 1 red ball can be selected in ⁷C₁ ways
2 white & 1 red ball = ⁴C₂ × ⁷C₁
2 white & 1 red ball = 6 × 7
2 white & 1 red ball = 42 ways
(b) If all 3 balls are white?
The 3 white balls can be selected in ⁴C₃ ways
The 0 red ball can be selected in ⁷C₀ ways
All 3 white balls = ⁴C₃ × ⁷C₀
All 3 white balls = 4 × 1
All 3 white balls = 4 ways
(c) If all 3 balls are red?
The 3 red balls can be selected in ⁷C₃ ways
The 0 white ball can be selected in ⁴C₀ ways
All 3 red balls = ⁷C₃ × ⁴C₀
All 3 red balls = 35 × 1
All 3 red balls = 35 ways
Write the improper fraction as a mixed number 29/5
Answer:
5 4/5
Step-by-step explanation:
29 ÷ 5 = 5
29 - 25 = 4
Since 5x5 is 25 and we have 4 as a remainder we put it over the original denominator 5.
I really hope this helps.
29/5 as a mixed number is 5 and 4/5.
To convert the indecorous bit29/5 into a mixed number.
First, divide the numerator( 29) by the denominator( 5) and express the result as a whole number and a bit.
Now, 29 divided by 5 equals 5 with a remainder of 4.
The quotient( 5) becomes the whole number part of the mixed number, and the remainder( 4) becomes the numerator of the bit part, while the denominator remains the same.
Thus, 29/5 as a mixed number is 5 and 4/5.
Learn more about Mixed Fraction here:
https://brainly.com/question/29019463
#SPJ6
What are the zeros of the quadratic function f(x) = 6x² + 12x – 7?
x = -1
ve
13
6
and x = -1 +
13
V6
X = -1
2
V3
2
and x = -1 +
V3
X = -1
and x = -1 +
+
7
V 6
6
1
x = -1
1
16
and x = -1 +
V6
Answer:
x = -2.47, 0.47
Step-by-step explanation:
Easiest and quickest way to do this is to graph the quadratic and analyze for x-intercepts.
Alternatively, we have to use the Quadratic Formula because we cannot factor the expression.
[tex]\frac{d}{7}[/tex] + –59 = –50
d = _______
76% is between which of the following two numbers?
Hey there!
You haven't provided any answer options but here's how you would solve a problem like this.
To find the number in between two numbers, you add it up and divide it by two!
So, what's between 1 and 3? Well you do 1+3 is 4 then divide by 2 you get 2!
100 and 580? You add them to get 680 then divide by two you get 340!
In between 0.57 and 0.69? Adding gives you 1.26 and then divide by two and we have 0.63!
And with percents, let's do 45% and 67%. You add you get 112% and then divide by two you have 56%!
So, with your answer options just add them up and divide by two and see which one gives you 76%!
I hope that this helps!
A tablet contains 0.5 mg of medication. A patient receives 5 tablets a day. How many mg patient receive per day?
Answer:
2.5 mg
Step-by-step explanation:
.5 x 5 = 2.5
I NEED HELP PLEASE, THANKS! :)
Answer:
-0.4
Step-by-step explanation:
Since x=4 is not a critical point, you can simply evaluate the function. You can do this in your head.
(2√4 -6)/(9 -4) = (2·2 -6)/5 = -2/5 = -0.4
Diane borrowed 8000 at a rate of 7%, compounded semiannually. Assuming she makes no payments, how much will she owe after 6 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer: $12088.55
Step-by-step explanation:
A = p(1+r/n)^nt
A = 8000(1+0.07/2)^2*6
A = 12088.54926
pls pls help me help me help me
Answer:
2
Step-by-step explanation:
Answer:
I hope it will help you....
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = ln 5x, y = 2, y = 3, x = 0; about the y-axis
2.Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y2 = 2x, x = 2y; about the y-axis
3.Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = x, y = 0, x = 2, x = 7; about x = 1
Answer:
1. V = 15.95 (to 2 decimal places)
2. V = 107.23 (to 2 decimal places)
3. V = 560.25 (to 2 decimal places)
Step-by-step explanation:
1. y = ln 5x, y = 2, y = 3, x = 0; about the y-axis
Find volume using the disk method.
First find inverse of y=ln(5x)
5x = exp(y)
x(y)=exp(y)/5
Width of each strip = dy
length of each strip = x(y)
volume of each disk by rotation of strip about y=axis
dV = 2*pi*x(y)dy
total volume
V = integral (dV) for y=2 to 3
= integral (2*pi*e^y/5) for y=2 to 3
= 2*pi*(e^y/5) for y=2 to 3
= 2pi(e^3-e^2)/5
= 15.95 (to 2 decimal places)
2. y2 = 2x, x = 2y; about the y-axis
Find point of intersection between
solve y^2/2 = 2y => y=4, x=2y=8, therefore
intersection is at (8,4), which is the upper integration limit
Using the disk method again
Volume of each disk
dV(y) = pi((2y)^2-(y^2/2)^2)dy
Total volume of solid
V = integral(pi((2y)^2-(y^2/2)^2)dy) for y=0 to 4
= pi (4y^3/3 - y^5/20) for y = 0,4
= pi (256/3 - 1024/20)
= 512pi/15
= 107.23 (to 2 decimal places)
3. y = x, y = 0, x = 2, x = 7; about x = 1
Use the shell method.
volume of each shell formed by roatation of a vertical strip about the axis of rotation (x=1)
dV = 2*pi*(x-1)*(y*dx)
Total volume of rotation
V = integral(2*pi*(x-1)*y dx for x=2 to 7
= 535pi/3
= 560.25 (to 2 decimal places)
Consider a spinner numbered 1-7. You find that the probability of getting an even number is and the probability of getting an odd number is.
Which rule of probability could you use to find the probability of getting an even number OR an odd number?
Difference Rule
O
Product Rule
Sum Rule
O
Quotient
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
c = 730cm
Step-by-step explanation:
The first thing we would do is to draw the diagram using th given information.
Find attached the diagram.
a = 714 cm
the measure of angle A = 78°
To determine c, we would apply sine rule. This is because we know the opposite and we are to determine the hypotenuse
sin78 = opposite/hypotenuse
sin 78 = 714/c
c = 714/sin 78 = 714/0.9781
c= 729.99
c≅ 730 cm ( nearest cm)
The ratio of boys to girls in Jamal's class is 3:2. If four more girls join the class, there will be the same number of boys and girls. What is the number of boys in the class?
Answer:
12 boys
Step-by-step explanation:
From the above question:
Number of boys = 3
Number of girls = 2
Boys: Girls
3:2
Let :
a = boys
b = girls
Hence, a : b = 3 : 2
a/b = 3/2
Cross Multiply
2a = 3b .......... Equation 1
a = 3b/2
If four more girls join the class, there will be the same number of boys and girls
Hence,
a: b + 4 = 3 : 3
a/b + 4 = 3/3
Cross Multiply
3a = 3(b + 4)
3a = 3b + 12 ........ Equation (2)
From Equation 1: a = 3b/2
Substitute 3b/2 for a in Equation 2 we have:
3a = 3b + 12 .........Equation 2
3(3b/2) = 3b + 12
9b/2 = 3b + 12
Cross Multiply
9b = 2(3b + 12)
9b= 6b + 24
9b - 6b = 24
3b = 24
b = 8
Substitute 8 for b in Equation 1
a = 3b/2
a = 3 × 8/2
a = 24/2
a = 12
Therefore, the number of boys in the class is 12
which term is the rate at which work is done
Answer:
The answer is power.Hope this helps you
Need help with this as soon as possible
Answer:
Step-by-step explanation:
[tex]\frac{14}{x} =14/x[/tex]
Thus, we can multiply both sides by x to get 14=0. Because 14 does not equal 0, the equation has no solutions. A value of x that makes the equation false is 541, which makes the simplified equation turn into 14=0.
Another value of x that makes the equation false is 7, which makes the simplified equation turn into 14=0.
Hope it helps <3
g The sampling distribution of the sample means is the curve that describes how the sample means are distributed. True or False Explain
Answer:
This Statement is True.
Check Explanation for why it is true.
Step-by-step explanation:
The sampling distribution of sample means arises when random samples are drawn from the population distribution and their respective means are computed and put together to form a distribution. Hence, the curve of this sampling distribution of sample means will show how the sample means are distributed. Hence, this statement is true.
Hope this Helps!!!
The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). Find a linear function that approximates the number of products sold as a function of the cost of advertising. Select the most appropriate answer. cost = 9 2 3 4 2 5 9 10 and number 85 52 55 68 57 86 83 73
Options :
(A.) y=558-273x (B.) y=264+142x (C.) y = 55.8 +2.79x (D.) y= -26.4-1.42x
Answer:
C.) ŷ = 2.79X + 55.8
Step-by-step explanation:
Given the data:
cost (x): 9 2 3 4 2 5 9 10
Number of products sold: 85 52 55 68 57 86 83 73
Using the online regression calculator to generate a linear regression plot of the given data: the model obtained is given below
ŷ = 2.79X + 55.8
With y being the predicted or dependent variable
Slope or gradient of the line = 2.79
X = the independent variable
55.8 = the intercept.
the length of a rectangular sheet of metal is 9.96m and it's breadth is 5.08m. Find the area of the metal.Correct the answer to 2 significant figures and then correct the answer to 0.1 meter square
Answer:
50.6 m²
Step-by-step explanation:
The area of a rectangle is length × breadth.
9.96 × 5.08
= 50.5968
Rounding.
⇒ 50.60
⇒ 50.6