Answers
x = 49 cm^2/(10 cm)
x = 4.9 cm
Related Questions
Describe the following sequence as arithmetic, geometric or neither.
2, 4, 6, 12, 14. . . .
I think it's arithmetic because it's +2, but then there's 6 to 12 and that's +6, but then it's back to +2 when it goes to 12 to 14.,
Answers
Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity? Item Amount Soup $3.75 Shrimp scampi $15.00 Iced tea $2.60 Dessert $4.25.
Answers
Answer:
The total cost of her dinner including tip would be $30.72
Step-by-step explanation:
Marge orders the following items on her meal.
Soup = $3.75
Shrimp scampi = $15.00
Iced tea = $2.60
Dessert = $4.25
The total cost of her dinner including gratuity is
3.75 + 15.00 + 2.60 + 4.25 = $25.60
She would like to leave a 20% tip based on her bill
Therefore, 20% of $25.60
= 0.20 × 25.60 = $5.12
Now add this tip amount to the bill amount.
$25.60 + $5.12 = $30.72
The total cost of her dinner including tip would be $30.72
Please show me the steps on how to do this.
Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long. Round to the nearest degree.
I'm learning about vectors right now.
Options:
o 54 degrees
o 36 degrees
o 46 degrees
o 44 degrees,
Answers
In this case, the angle α can be easily found with trigonometry:
tan α = (opposite side / adjacent side)
Therefore:
α = tan⁻¹ (tree / shadow) = tan⁻¹ (10 / 14) = 35°
NOTE:
tan⁻¹ is sometimes found written as arctan.
Mark went to the store and spent a total of $18.90. What is the cost of 5 items is if one item cost $2.95?
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item #1 was 2.95 the rest of the items were 3.99
Select the situation in which one quantity is changing at a constant rate in relation to the other quantity.
Barry spends $9 on lunch daily.
The market value of a new computer decreases by 6% every year.
Nathan's investments increase in value by 13.5% each month.
The number of ants in a colony doubles every 8 weeks.
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Constant rate of change means that when the value of x increases, the y remains constant. So there is no change in the y value. In this case, the x value is the "week" and the y value is the "amount of ants".
Solve by factoring. 5. X2 +11x + 10 = 0 6. X2 + 4x -32 = 0 7. 2x2 -21x -36 = 0 8. 3x2 + x -14 = 0 9. x2 – 4x =21 10. 2x2 -11x =-12
Answers
5. x² + 11x + 10 = 0
Sum = 11
Product = 10
Factors = 1 and 10
( x + 1 )( x + 10 )
x = 1 , x = -10
6. x² + 4x - 32 = 0
Sum = 4
Product = -32
Factors = - 4 and 8
( x - 4 )( x + 8 )
x = 4 , x = -8
7. 2x² - 21x - 36 = 0
( 2x + 3 )( x - 12 )
x = [tex]- \frac{3}{2} [/tex] , x = 12
8. 3x² + x -14
( x - 2 )( 3x + 7 )
x = 2 , [tex]- \frac{7}{3} [/tex]
9. x² - 4x = 21
x² - 4x - 21 = 0
Sum = - 4
Product = - 21
Factors = - 7 and 3
( x + 3 )( x - 7 )
x = - 3 , x = 7
10. 2x² - 11x = -12
2x² - 11x + 12 = 0
( x - 4 )( 2x - 3)
x = 4 , x = [tex] \frac{3}{2} [/tex]
Two sides of a triangle have lengths 5 in. and 16 in. Describe the possible lengths of the third side.
5 < x < 21
5 < x < 16
16 < x < 21
11 < x < 21
Can you construct a triangle that has side lengths 11 cm, 12 cm, and 15 cm?
no
yes
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Answer:
11 < x < 21
Yes
What is the measure of angle S?
Answers
Hi could u plz help me anyone please
Answers
To find this solution, you have to write an inequality. We want the new plan to be less than the old plan of $175.
So our inequality would be:
94 + 4.5x < 175
Solving it gives:
4.5x < 81
x < 18
So the number of devices must be less than 18. Draw an open circle at 18 with a ray going to the left to show those numbers.
Good luck,
MrEQ
1. 16y + 0 = 16y
Associate Property of Addition
Zero Property of Multiplication
Commutative Property of Addition
Identity Property of Addition
2. d • r = r • d
Commutative Property of Multiplication
Identity Property of Multiplication
Zero Property of Multiplication
Commutative Property of Addition
3. 27a • 0 = 0
Associative Property of Multiplication
Commutative Property of Multiplication
Zero Property of Multiplication
Identity Property of Multiplication
4. 16x + 5y = 5y + 16x
Commutative Property of Addition
Zero Property of Addition
Ident
Answers
2) Commutative Property of Multiplication
3) Zero property of multiplication
4) Commutative property of addition
Hope this helps!
A student's home is 3.25 miles from the school. A soda shop is located 900 feet farther down the road from the school. What is the total distance from the student's home to the soda shop?
Answers
Answer:
18060
Step-by-step explanation:
.
Help me please y’all
Answers
To solve for the inverse of a function, you have to interchange the variables x and y and solve for the value of y in terms of x:
F(x) = 5x/3 + 5
y = 5x/3 + 5
Interchange x and y:
x = 5y/3 + 5
Solve for the value of y in terms of x:
x – 5 = 5y/3
5y = 3 (x – 5)
y = 3 (x -5) / 5
f^-1 (x) = 3 (x -5) / 5
Please Help!!!
(x-3)^2/64 + (y+5)^2/100 = 1
a. Identify the coordinates of the center of the ellipse.
b. Find the length of the major and minor axes.
c. Find the coordinates of the foci.
d. Graph the ellipse. Label the center and foci.,
Answers
[tex]\frac{(x - xc)^{2} }{ a^{2} } + \frac{(y - yc)^{2} }{ b^{2} } = 1[/tex]
Indeed, you have:
[tex]\frac{(x-3)^{2} }{64} + \frac{(y+5)^{2} }{100} = 1[/tex]
Therefore you can easily find:
a) the coordinates of the center:
in your case xc = 3 and yc = -5
hence C(3 , -5)
b) lenght of the major and minor axis:
in your case a² < b²:
a² = 64 ⇒ a = 8 (ATTENTION! This is the semi-minor axis)
b² = 100 ⇒ b = 10 (again, this is the semi-major axis)
Therefore,
minor axis 2a = 16 and major axis 2b = 20
c) coordinates of the foci:
Since you have a² < b², foci have the generic coordinates F₁₂ (xc , yc+/-c)
where c = √(b² - a²)
Let's compute c = √(100 - 64) = √36 = 6
yf₁ = -5 - 6 = -11
yf₂ = -5 + 6 = -1
Therefore:
F₁ (3, -11) and F₂(3, +1)
d) the graph is in the picture attached
Sonya has four straws of different lengths: 2cm,8cm,14cm,and 16cm. How many triangles can she make using the straws?
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You can make a triangle with 6, 14 and 16 straws.
The answer is one triangle
Im assuming you are not allowed to stick together any of the straws
There is no way to make a triangle with numbers 2,8,14, nor 2,8,16, nor 2,14, and 16. Using 6, 14, and 16 straws, you can form a triangle.
I'm guessing you're not supposed to stick any one of the straws together. Kindly see the accompanying document for more information. As a result, B is represented by one triangle. All two sides add up to more than the third side. As a result, the difference between the two sides is less than the difference between the first and third sides.Therefore, the final answer is "one triangle".
Learn more:
brainly.com/question/3528787
f(x) = x3 - 3x2 + 4 = 0 For the equation given, 2 has a multiplicity of? 1, 2, 3
Answers
a certain solution to the function.
In this case, we are finding out how many times 2 appears in the function, meaning you’ll have to solve for it when it equals 0. You may use a calculator or use the rational roots method. I will simply derive the answer from the calculator. If you’d like to know about the rational roots method, comment.
x^3 - 3x^2 + 4 = 0 // Given
0 = (x + 1)(x - 2)(x - 2) // Calculator skills
0 = (x + 1)(x - 2)^2 // Simplify
Therefore, 2 has a multiplicity of 2
Company A can produce 100 CPUs in 3 days while Company B can produce 150 CPUs in 4 days. If the two companies join forces, how many days would it take them to produce 1000 CPUs?
Answers
Hope this helped!
Answer: They would need 15 days
Step-by-step explanation:
The data is:
Company A produce 100 CPUs in 3 days, so the rate per day is:
Ra = 100/3 CPUs per day: 33.33 CPUs per day.
Company B produce 150 CPUs in 4 days, then it produces:
Rb = 150/4 = 37.5 CPUs per day.
Then, if both companies work toggeter, they produce
Ra + Rb = 33.33 + 37.5 CPUs per day = 70.83 CPUs per day.
We want to know the number X of days needed to make 1000 CPUs, then we need to solve:
70.83*X = 1000
X = 1000/70.83 = 14.11 days, we could round it up to 15 days if we want to have a whole number.
Each square on the grid represents 1 yd². What is the approximate area of this pond? A. about 10 yd² B. about 15 yd² C. about 20 yd² D. about 25 yd².
Answers
laura budgets $54 each month for annual expenses. she nets $1820 semimonthly. what percent of her net monthly income does she budget for annual expenses?
1%
3%
6%
8%
Answers
If she is getting $1820 semimonthly. That means that she is getting $3640 per month. 1820 x 2 = 3640
Now, we just need to find the percent of that which goes for the annual expenses.
Divide 54 by 3640 and multiply by it 100 to get a percent of 1.4% which can be rounded to 1%.
Explanation:
Since the income known in the problem is for semi-monthly (meaning every half of the month), we should compute for the monthly income because we what know is the amount of money Laura allots on a monthly basis for her annual expenses.
Since semi-monthly income is received twice per month, the monthly income of Laura is two times her semi-monthly income (= $1820). That is,
monthly income
= 2 × semi-monthly income
= 2 × $1820
monthly income = $3,640
Because $54 is budgeted each month for annual expenses, the percentage of the monthly income that is allocated for annual expenses is computed as
percentage of the monthly income
= ((monthly income allocated for annual expenses) ÷ (monthly income)) × 100%
= ($54 ÷ $3,640) × 100%
≈ 0.0148351648 × 100%
percentage of the monthly income ≈ 1%
A bicycle store costs $1700 per month to operate. The store pays an average of $75 per month. The average selling price of each bicycle is $95. How many bicycles must the store sell each month to break even?
Answers
The formula in computing the break-even point is:
Break-even = fixed cost / contribution margin
The fixed cost is already given which is $1700 per month. To compute for the contribution margin, you have to deduct the average cost per month ($75) to the selling price of each bicycle ($95). The contribution margin is $20 ($95 - $75).
Substituting the amounts to the formula:
Break-even = $1,700/$20
= 85
Therefore, the store must sell 85 bicycles each month to break even.
simplify the square root of 27x^12/300x^8
Answers
We have:
root (27x ^ 12 / 300x ^ 8)
Rewriting:
root ((27/300) * (x ^ 12 / x ^ 8))
root ((9/100) * (x ^ (12-8)))
root ((9/100) * (x ^ (4)))
root ((9/100) * (x ^ (4)))
3 * x ^ 2 * root ((1/100)
(3 * x ^ 2) / 10
(3/10) * (x ^ 2)
Answer:
(3/10) * (x ^ 2)
Answer:
3/10 x^2
Step-by-step explanation:
Which rotation about its center will carry a regular decagon onto itself? 1) 54° 2) 162° 3) 198° 4) 252°?
Answers
Three fourths of the students in class said they like word problems . If fewer than 30 students said they like word problems , how many students are there ?
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Since there are less than 30 students that say they like that and that represents 3/4, you can start by trying to solve the equation.
3/4x < 30
Where x is the total number of students in the class.
Which triangle is a regular polygon? A) All triangles B) An equiangular triangle C) 45°- 45° - 90° triangle D) 30°- 60° - 90° triangle
Answers
Answer:
its B
Step-by-step explanation:
Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.
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The yellow dot is the point of tangency. It is the point where tangent line touches the circle
The light blue line is secant. Secant line intersects a circle in 2 points
The red line is the radius. Radius is the distance from center to the outer rim of the circle.
The green line is the diameter. It is the line passing through the center of a circle. It measures twice the radius
The gray line is the chord. Chord is the line whose endpoints lie on the circle.
Arc AB is a minor arc
Arc ABCD is a major arc
Find the area of this trapezoid. All length measures are in centimeters.
Answers
The area of a trapezoid is given by the formula
Area=h*(b1+b2)/2
where
b1, b2 are the lengths of each base
h is the altitude (height)
Remember that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases
therefore
[area of trapezoid]=(11+5)*4/2--------> 64/2------> 32 cm²
the answer is 32 cm²
Use the answer from the previous task to determine P(z < −2.1).
0.01790.58320.98211
Answers
Answer:
A on Edg :)
Step-by-step explanation:
Using the normal distribution, it is found that P(z < −2.1) = 0.0179.
Normal Probability DistributionThe z-score of a measure X in a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure X is from the mean, if it is positive above the mean, if it is negative below. After finding the z-score, the z-score table gives the p-value of this z-score, which is the percentile of the measure X.From the z-table, we have that Z = -2.1 has a p-value of 0.0179, hence P(z < −2.1) = 0.0179.
More can be learned about the normal distribution at https://brainly.com/question/24663213
the sum of 4 times a number and -5 added to 9 times number
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Use PEMDAS
If a fictional shrinking man shrinks proportionately to 1/10 his original height, his weight will be multiplied by
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The final weight will be reduced by 1/10 of its original weight.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is a fictional shrinking man shrinks proportionately to 1/10 his original height.
Assume the weight to be [W]. Then -
W = mg
m = ρV {ρ is density}
Then -
W = ρVg
Assume the body to be cylinder of radius [r] and height [h], we can write-
W = πr²ρgh
Than, the initial weight will be -
W = πr²ρgh
After Shrinking -
W' = πr²ρgh/10
Then -
W'/W = {πr²ρgh/10}/{πr²ρgh}
W'/W = πr²ρgh/10 x 1/πr²ρgh
W'/W = 1/10
W' = W/10
Therefore, the final weight will be reduced by 1/10 of its original weight.
To solve more questions on equations, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
In a drawing of the solar system, the scale is 1 mm = 500 km. for a planet with a diameter of 6,000 km, what should be the diameter of the drawing of the planet?
12 mm
120 mm
6,000 mm
3,000,000 mm
Answers
Multiply the above equation by 12 to get
12 mm : 6000 km
The 1st selection is appropriate.
Expressed powers are those that aref(x) = 5x + 3; g(x) = 6x - 5 Find f/g. (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ Five over six. } (f/g)(x) = Quantity five x plus three divided by six x minus five. domain {x|x ≠ Three over five } (f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. } (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ - Three over five. }
Answers
Explanation:
1) (f/g)(x) = f(x) / g(x)
2)
f(x) 5x + 3
-------- = ------------
g(x) 6x - 5
3) Since the division by 0 is not defined, the domain is restricted to 6x - 5 ≠ 0.
Therefore you must solve 6x - 5 = 0 to exclude the value of x for which the denominator becomes 0:
6 x - 5 = 0 => 6x = 5 => x = 5 / 6.
So, the domain is all x | x ≠ 5/6.
Answer:
(f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. }
Step-by-step explanation:
Given functions,
[tex]f(x)=5x+3[/tex]
[tex]g(x) =6x-5[/tex]
[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]
[tex]=\frac{5x+3}{6x-5}[/tex] ( By substitution )
Let [tex]h(x)=\frac{5x+3}{6x-5}[/tex]
Which is the rational function,
Since, a rational function is defined for all real number except those for which denominator = 0,
[tex]6x-5=0[/tex]
[tex]6x=5[/tex]
[tex]x=\frac{5}{6}[/tex]
Thus, h(x) is defined on all real numbers except 5/6,
Hence, domain of [tex]\frac{f}{g}(x)[/tex] is {x| x ≠ [tex]\frac{5}{6}[/tex] }