Answer:
2067.5
Step-by-step explanation:
divide each number and when you get to the end add a zero for the decimal.
Find both unit rates.
: An object traveled 691.12 feet in 21.2 seconds.
Question 1 options:
A: 32.6 s/ft and approximately 0.03 s/ft
B: 32.6 ft/s and approximately 0.03 s/ft
C: 32.6 ft/s and approximately 0.03 ft/s
D: 32.6 s/ft and approximately 0.03 ft/s Warning: Whoever Answers this wrong will be reported. :l
The unit rate is 32.6 ft/s and approximately 0.03 s/ft.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
An object traveled 691.12 feet in 21.2 seconds.
So, the unit rate as feet per second.
= 691.12/ 21.2
= 32.6 ft/s
and, the unit rate as second per feet
= 21.2/ 691.12
= 0.03 s/ ft
Hence, the unit rate is 32.6 ft/s and approximately 0.03 s/ft
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ1
what 27 over 54 in lowest terms
Answer: 1/2
Step-by-step explanation: Divide both the numerator and denominator by the GCD (Greatest Common Denominator)
27 ÷ 27
54 ÷ 27 (its 27/54 divided by 27/27
Reduced fraction:
1/2
Therefore, 27/54 simplified to lowest terms is 1/2.
What value of a makes lines m and n parallel?
Answer:
20
Step-by-step explanation:
3x + 5 should be equal to 65
3x + 5 = 65
3x = 65 - 5
3x = 60
x = 60/3
x = 20
determine lf (t) for the functions f (t), with t > 0, defined below. make sure to specify the frequency domain for s as well, namely, the domain of convergence of the laplace transform.
An Integral transform that converts a function of a real variable to a function of a complex variable is a Laplace Transformation.
F =L (f)
We are interested in signal defined for t≥ 0.
The Laplace transformation of a signal function (f) if the function
F = L(f)
F(s) = ∫∞ ₀ f(t) e⁻ᵃᵇ dt
for those a ∈ C for which the integral makes sense.
F is a complex valued function is a complex numbers.s is called the complex frequency variable with units sec⁻¹, t is called the time variable in sec.Lets find Laplace transformation of f(t) =eᵃ
F(s) = ∫₀∞ eᵃ e⁻ᵃᵇ da
= [ 1/1-a e⁽¹ ⁻ ᵃ⁾ ] = 1 / a-1
the integral defined F makes sense for all a ∈ C with a >1 but the resulting formula for F makes sense for all a ∈ C except a = 1Learn more about Laplace Transformation:
https://brainly.com/question/1597221
#SPJ4
Prove: <1= <3
Complete the proof (reasons A and B).
A. Definition of supplementary angles
And Substitution property
B. Angle addition postulate
And Subtraction property of equality
C. Subtraction property of equality
And Definition of linear pair
D. Addition property of equality
And Angle addition postulate
The reason that proves the above conditions is option A. Definition of supplementary angles And Substitution property.
Supplementary angles:
The pair of angles that gives 180° on adding is known as Supplementary angles. In other words, the sum of two supplementary angles is 180°. Two pairs of Supplementary angles will always form a linear pair.
Here we have
∠1, ∠2, ∠3, and ∠4 are formed by 2 intersecting lines
As we know
∠1, ∠2 is a linear pair and form supplementary angles
=> Sum of the ∠1, ∠2 will equal 180°
∠2, ∠3 is a linear pair and form supplementary angles
=> Sum of the ∠2, ∠3 will equal 180°
Therefore,
By the Definition of supplementary angles ∠1+∠2= 180° and ∠2+∠3= 180°
From the above observations,
=> ∠1+∠2= 180° and ∠2+∠3= 180°
=> ∠1 + ∠2 = ∠2 + ∠3
Therefore,
By the Substitution property ∠1 + ∠2 = ∠2 + ∠3
Hence,
The reason that proves the above conditions is option A. Definition of supplementary angles And Substitution property
Learn more about Supplementary angles at
https://brainly.com/question/11441280
#SPJ1
A z-test with a z observed of 2.56 (two-tailed) would have a p-value of ______, which would lead a research to _______ the null hypothesis if alpha is .05.
A z-test with a z observed of 2.56 (two-tailed) would have a p-value of 0.010467 , which would lead a research to reject the null hypothesis if alpha is .05.
Given:
z - score = 2.56
p value at z = 2.56 is:
p = 0.010467
The result is statistically significant: you can reject the null hypothesis and accept the alternative.
This decision is made at significance level α = 0.05.
Therefore a z-test with a z observed of 2.56 (two-tailed) would have a p-value of 0.010467 , which would lead a research to reject the null hypothesis if alpha is .05.
Learn more about the null hypothesis here:
https://brainly.com/question/28920252
#SPJ4
Please I need help please
Answer:
m∠T = 60°
m∠U = 60°
TS = 13 cm
SU = 13 cm
Step-by-step explanation:
The diagram shows that 2 sides, UT and TS, are equal, so it is an isosceles triangle. Since it is an isosceles triangle, the two angles opposite the equal sides are also congruent to each other, so m∠S = m∠U = 60°.
Now we know the measure of 2 angles, we can find the measure of the third angle, by subtracting the 2 known angles from 180°.
m∠T = 180° - m∠S - m∠U
m∠T = 180° - 60° - 60°
m∠T = 60°
Since all 3 angles are congruent, it is an equilateral triangle, therefore all the sides must be congruent too. So UT = TS = SU = 13 cm.
Based on the following calculator output, determine the mean of the dataset, rounding to nearest 100th if necesssrt.
The mean is 63.12 using the data given.
Given that,
Calculate the dataset's mean using the output from the following calculator, rounding to the nearest 100th if necessary.
1-Var-Stats
[tex]\bar x[/tex] = 63.1428571429
∑x = 442
∑x² = 28266
Sₓ = 7.71208081364
σₓ = 7.13999942834
n = 7
minX = 48
Q₁ = 58
Med = 66
Q₃ = 69
maxX = 69
Mean value is defined as sum of all data values divided by the total number of data values
Using the given data output
We get,
Mean = 63.14 (rounded to 2 decimals)
Therefore, The mean is 63.12 using the data given.
To learn more about data visit: https://brainly.com/question/23031285
#SPJ1
question is at the bottom !! anyone know the answer ??
PLS DONT ANSWER IF YOU DONT KNOW IT, i will report u if you do this.
ONLY ANSWER IF U KNOW!
12 is the marginal cost at the production level of 1000 units.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The marginal cost represents the additional cost if 1 more unit is produced. So, we can find the marginal cost by computing C(1,001) and subtracting (1,000)
First, let's evaluate the cost at both x= 1,001 and x=1,000
C(1000)=0.002(1000)^2+8(1000)+6000
=0.002(1000000)+8000+6000
=2000+8000+6000
=16000
C(1001)=0.002(1001)^2+8(1001)+6000
=2004.002+8008+6000
=16012
The difference between these costs is $12.002. Rounding to the nearest cent, we find a marginal cost of $12 per unit. Let's see if we get a similar result from the derivative.
Hence 12 is the marginal cost at the production level of 1000 units.
To learn more on Differentiation click:
https://brainly.com/question/24898810
#SPJ2
Are these 4 problems SSS SAS ASA AAS HL
1. The first figure posses the SSS property.
2. The second figure posses the ASA property.
3. The third figure posses the hypotenuse length property.
4. The fourth figure posses the SAS property.
Given:
1. The first figure shows the SSS property.
Side-Side-Side criterion is referred to as the SSS criterion. According to this standard, two triangles are congruent if their respective triangles' three sides are equal to one another.
hence the two triangles are congruent.
2. The second figure posses the ASA property.
Angle-Side-Angle criterion is also known as ASA criterion. According to the ASA criterion, two triangles are congruent if any two of their included sides and related angles are equivalent in size to those of the other triangle.
hence the two triangles are congruent.
3. The third figure posses the hypotenuse length properety.
RHS criterion stands for right angle-hypotenuse-side congruence criterion. Under this criterion, two triangles are congruent, if the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle.
hence the two triangles are congruent.
4. The fourth figure posses the SAS property.
Side-Angle-Side criterion is referred to as the SAS criterion. According to this standard, two triangles are said to be congruent if their matching sides and included angles are the same on each side of each other.
hence the two triangles are congruent.
Hence we get the required answer.
Learn more about Triangles here:
brainly.com/question/2217700
#SPJ1
PLEASE ANSWER QUESTIONS IN IMAGE GIVING BRAINLIEST!!!!
The function of Car A is an exponential function.
The function that describes the value is g(x) = [tex]18,000(0.94^{x})[/tex].
The value of f(x) in 9 years is $10,313.91.
The function of Car B is a linear function.
The function that describes the value is g(x) = 18,500 -750x.
The value of f(x) in 9 years is $11,750.
What is the value of the cars in 9 years?The value of the car declines with the passage of time. Thus, the value of the car depreciates with the passage of time.
A linear function is a function that has a single variable raised to the power of 1. A linear function increases or decreases by a constant value.
The general form of a linear function is f(x) = a + bx
Where:
a = initial value b = rate of change x = number of yearsRate of change = value of the car B in year 2 - value of the car B in year 1
17,000 - 17,750 = - 750
g(x) = 18,500 -750x
Value of g(x) when x is 9:
g(x) = 18,500 -750(9)
g(x) = 18,500 - 6,750
g(x) = $11,750
An exponential function can be described as an equation with exponents. The exponent is usually a variable.
The general form of exponential function is f(x) = [tex]e^{x}[/tex]
Where:
• x = the variable
• e = constant
Constant = (Value of the car in year 2 / value of the car in year 1) - 1
Constant = (16,346.60 / 17,390) - 1 = -0.06 = -6%
g(x) = [tex]18,000(0.94^{x})[/tex]
Value of the car in 9 years = [tex]18,000(0.94^{9})[/tex] = $10,313.91
To learn more about linear functions, please check: https://brainly.com/question/26434260
#SPJ1
an article in a medical journal suggested that approximately 18% of such operations result in complications. using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.06?
The needed Sample size is 32.2 so that the confidence interval will have a margin of error of 0.06.
We have provided that , An article in a medical journal approx. 18% of operation results complications.
Using the estimate formula, for standard margin of error
Margin of error (E) = Z x √p(1-p)/n
where , E---> margin of error
Z---> estimate value
p----> sample proportion
n -----> Sample size
we have the value of E = 0.06 , p = 18% = 0.18
put all the values in above formula we get,
0.06 = Z × √0.18× 0.82/n
critical value or Z-value for sample proportion 0.18 is 0.91
Now, 0.06 = 0.91 × √0.18×0.82/n
=> √0.14/n= 0.065 => 0.14/n = 0.0043
=> n= 32.2
So, sample size is 32.2
To learn more about Sample size, refer:
https://brainly.com/question/15707612
#SPJ4
Does a multi-step equation always, sometimes, or never have a solution? Explain your reasoning.
Please fill in the missing blanks! I will give brainly to the best!
The required missing terms are sequential as 3, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1, and -7.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
What we do is, lets fill the blank space be x,
Now for 1,
[-1] + [-1] + x = 1
-2 + x = 1
x = 1 + 2
x = 3
Similarly, all the blank spaces can be determined as, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1, and -7.
Thus, the required missing terms are sequential as 3, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1, and -7.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
For what values of the variable does each of the following expressions make sense; square root of -3(1-5x)
Answer: x is greater than or equal to 1/5
Step-by-step explanation:
The value of -3( 1 - 5x) CANNOT be negative.
Using this information we know that 1-5x is negative.
We can write:
1-5x >= 0
1>=5x
x>=1/5
Determine the equation of the axis of symmetry for the parabola that passes through
points (-4,0) and (6,0).
(A) x = -2
(B) x=2 (C) x=-1
10
D
с
a
b
n
d
(D) x = 1
Answer:
D
Step-by-step explanation:
the axis of symmetry is a vertical line with equation x = c
where c is the value of the x- coordinates the line passes through.
the line crosses the x- axis at the midpoint of the zeros
given (- 4, 0 ) and (6, 0 ) , that is
zeros are x = - 4 and x = 6
then equation of axis of symmetry is
x = (- 4 + 6) ÷ 2 = 2 ÷ 2 = 1 , that is
x = 1 ← axis of symmetry
what is the value of the expression below ?
Answer: -10.
Step-by-step explanation:
30/3 = 10.
However, there is a negative number in the expression.
A rule you need to remember is when you divide 2 numbers with different signs, the answer is negative. If you divide 2 numbers with the same sign, the answer is positive.
30/-3 = -10.
A certain insect can beat its wings 10 times per second. Write an equation in slope-intercept form that shows the relationship between flying time in seconds and the number of times the insect beats its wings.
The equation in slope-intercept form that shows the relationship is y = 10x
How to determine the equation?From the question, we have the following parameters that can be used in our computation:
Rate of beating wings = 10 times per second
The equation in slope-intercept form of the relationship is then represented as
y = Rate of beating wings * x
Where
y is the number of times
x is the wings
So, we have
y = 10 * x
Evaluate
y = 10x
Hence, the equation is y = 10x
Read more about linear equations at
https://brainly.com/question/4074386
#SPJ1
please hurry need asap
Find the area of this triangle.
155
175
260
Answer:
13170.421 -> rounded to nearest whole number is 13170
Step-by-step explanation:
u = a + b + c
area = √(u/2 * (u/2-a) * (u/2-b) * (u/2-c))
23. A group of friends is collecting aluminum for a recycling drive. Each person
who donates at least 4.25 pounds of aluminum receives a free movie coupon.
The weight of each person's donation is shown in the table.
Brenda
4.3
Claire
5.5
Jim
61/10
Micah
15
4
Weight
(lb)
a. Order the weights of the donations from greatest to least.
Peter
43
b. Which of the friends will receive a free movie coupon? Which will not?
c. What If? Would the person with the smallest donation win a movie
coupon if he or she had collected pound more of aluminum? Explain. Which of the friends will receive a free movie coupon?which will not
Answer:
Step-by-step explanation:
a. 6.17 , 5.5 , 4.375 , 4.3 , 3.75
b. Everyone except Micah.
C. Micah got 3.75 pounds and if he got 0.5 pounds more, then he would have; 3.75+0.5=3.75 pounds. Then he would have got the coupon as a minimum of 4.25 pounds is required.
A hat that normally cost $20 is on sale for $14. What percent of the regular price is the
sale price?
Answer:
70
Step-by-step explanation:
(14/20)*100=70
50 POINTS TO WHOEVER ANSWER THIS QUESTION!! THANKS SO MUCH!!!
The value of side x is given by (C) 14.7 units approximately.
Given the triangle is a right angled triangle.
Now given also that, Height of triangle is = x units
Base of triangle is = 15 units
Hypotenuse of triangle is = 21 units
So by Pythagoras theorem, we get the sum of squares of base and height is equal to the square of hypotenuse. So,
[tex]x^2+15^2=21^2\\\Rightarrow x^2+225=441\\\Rightarrow x^2=441-225\\\Rightarrow x^2=216\\\Rightarrow x\approx14.7[/tex]
So the value of x is 14.7 units approximately.
Hence the correct option is (C).
To know more about Pythagoras theorem refer to:
https://brainly.com/question/343682
#SPJ1
Write the equation of the line that goes through point (-4, 1) and is perpendicular to the line 2y - 4x = -10. Write the equation in slope intercept form.
Answer:
y = 1/2x + 3
Step-by-step explanation:
first we change the first equation to slope-intercept form to find the reciprocal slope
2y - 4x = -10
add 4x to both sides
2y = 4x - 10
divide both sides by 2
y = 2x - 5
since perpendicular lines have reciprocal slopes the slope of our new line is 1/2
y = 1/2x + b
to find b we plug in the point
1 = 1/2(-4) + b
1 = -2 + b
add 2 to both sides
3 = b
___
our new line is
y = 1/2x + 3
Answer:
-83+8=19
Step-by-step explanation: how i figured this out is by guessing so i can get more points sorry guys.
i need to know how to find the slope!!
Answer:
Step-by-step explanation:
Slope of a straight line is the gradient of that line.
Formula for gradient is rise over run. Meaning: m = (y2 - y1) / (x2 - x1)
To use this formula, you need 2 points of the straight line. They have already given you one: (8, -3). For the second one, we consider the equation of the line. The y-intercept is given too: -4.
Now, keep in mind, the y intercept is the point of the line that passes from x = 0. Meaning, the point where the line touches the y axis, and at y axis, x = 0. So our second point is (0, -4).
Now as we have 2 points, (8, -3) and (0, -4), we put the values in the formula: m = (y2 - y1) / (x2 - x1) = (-4 - (-3)) / (0 - 8) = -1 / -8 = 1 / 8
Slope = -1/5, y-Intercept = -1/4
Answer:
[tex]\sf y =\dfrac{-1}{5}x-\dfrac{1}{4}[/tex]
Step-by-step explanation:
Slope y-intercept form of equation: y =mx +bHere, m is the slope and b is the y-intercept.
Substitute the values of m and b in the above equation.
[tex]\sf m = \dfrac{-1}{5} \\\\b = \dfrac{-1}{4}[/tex]
Slope y-intercept form:
[tex]\sf \boxed{y=\dfrac{-1}{5}x - \dfrac{1}{4}}[/tex]
enter a quadratic polynomial which has zeros at -7 and 7
The required quadratic polynomial whose roots are -7 and 7 is
[tex]x^{2} - 49[/tex]
As the zeroes are given, i.e., 7 and -7.
∴ Sum of roots = 7+(−7) = 7− 7 = 0
Product of roots = 7×(−7) = −49
As we know, a quadratic polynomial whose zeroes are given can be represented as-
[tex]x^{2}[/tex] - (Sum of roots)x + (product of roots) = 0
[tex]x^{2} -0*x +(-49) = 0\\\\x^{2} - 49 = 0[/tex]
Hence, the required quadratic polynomial whose roots are -7 and 7 is
[tex]x^{2} - 49[/tex]
To read more about quadratic polynomials, visit https://brainly.com/question/17489661
#SPJ1
write and solve a system of linear equations to find the values of $x$ and $y$ . a quadrilateral. the angles of the quadrilateral are 5x degrees, (4y minus 2 )degrees, (13x plus 10 )degrees, and 10y degrees.
As per the angle sum property of quadrilateral, then values of x is 245 and the value of y is 341
Angle sum property of quadrilateral:
The angle sum property states that the sum of all the angles of the quadrilateral is 360 degree.
Given,
The angles of the quadrilateral are 5x degrees, (4y minus 2 )degrees, (13x plus 10 )degrees, and 10y degrees.
Now we have to write and solve a system of linear equations to find the values of x and y.
While we looking into the given angles, then we get the values
=> 5x°
=> (4y - 2)°
=> (13x + 10)°
=> 10y°
We know that, the sum of all the angles of the quadrilateral is 360°.
So, it ca be written as,
=> 5x° + (4y - 2)° + (13x+ 10)° + 10y° = 360°
=> 18x° + 14y° - 8° = 360°
=> 18x° + 14y° = 354°
When we divide all of them by 2, then we get the equation as,
=> 9x° + 7y° = 177°
Now we have to rewrite the given equation as,
=> 9x° = 177° - 7y°
=> x° = (177° - 7y°)/9
Apply these value on the angles, then we get,
=> 13(177 - 7y)/9 = -10
=> 13(177 - 7y) = 90
=> -7y = -90 - 2301
=> 7y = 2391
=> 341
Then the value of x is
=> 245
To know more about Angle sum property here.
https://brainly.com/question/4316040
#SPJ4
(b) Bill removed 70 fish from his pond over a period of 7 days. He removed the same number of
fish each day. What was the change in the number of fish in the pond each day?
-70 fish
Answer:
ROC=10/1
Step-by-step explanation:
ROC=change in y-change in x
We can first write out a few more points.
(7,70), (14,140), (21,210)
210-140=70
140-70=70
21-14=7
14-7=7
So the ROC is 70/7 or 10/1
71. Coffee and Muffins On Monday the office staff paid a total of
$7.77 including tax for 3 coffees and 7 muffins. On Tuesday
the bill was $14.80 including tax for 6 coffees and 14 muffins.
If the sales tax rate is 7%, then what is the price of a coffee
and what is the price of a muffin?
Answer:
Step-by-step explanation:
if i help you with this can yu do this
1. Describe, in detail, the way Jews were treated by the Nazi Party between 1933 and 1944. Be sure to address the restrictions on the Jews and their movement as well as discussing the creation and impact of the Nuremberg Laws.
2.explain how literature can help us understand the past. How can reading literature sometimes be more effective than studying an informational/historical document or simply studying "facts" from the past.
120 or more for both questions!!!
the anser answer are A(250 feet)-(b)150 feet)-c)100 feet)-d(200 feet)
Answer:
(b) 150 feet
Step-by-step explanation:
You want to know the height of a kite at the end of 225 feet of string, flying at an angle of elevation of 45°.
Right triangleThe 45° angle in the given right triangle tells you this is one of the "special" right triangles. Its side lengths have the ratios ...
1 : 1 : √2
where √2 is the hypotenuse.
That means the other two legs of this right triangle are ...
(225 ft)/√2 ≈ 159.099 ft
Rounded to the nearest 50 feet, this is about 150 feet.
__
Additional comment
The sine function relates the angle value to the opposite side:
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse · Sin
height = (225 ft)·sin(45°) = 225 ft/√2 ≈ 159.099 ft