Answer:
72 miles/day
Step-by-step explanation:
12 m/hr * 6 hr / day = 72 mi/day
Which equation are true
A. 3^4)(3^5)=3^9
B.8^6=1\-6
C
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(−7,−5)
B(−7,6)
C(−4,6)
D(−4,−5)
Given these coordinates, what is the length of side CD of this rectangle?
[tex]\huge\boxed{11\ \text{units}}[/tex]
To solve this, we need to find the distance between points C and D.
The distance formula is:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the values from points [tex]C(x_1, y_1)[/tex] and [tex]D(x_2, y_2)[/tex].
[tex]\sqrt{(-4-(-4))^2+(-5-6)^2}[/tex]
Subtract.
[tex]\sqrt{0^2+(-11)^2}[/tex]
Evaluate the powers.
[tex]\sqrt{0+121}[/tex]
Solve for the final answer.
[tex]\sqrt{121}\\\boxed{11}[/tex]
the graph of F(x) shown below resembles the graph of G(x) =x^2 but it has been changes somewhat. Which of the following could be the equation of F(x)
Using translation concepts, the equation of the graph F(x) is given as follows:
F(x) = -x² - 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Researching this problem on the internet, the graph of G(x) = x² was reflected over the axis(multiplied by -1), and shifted down 3 units(F(x) -> G(-x) - 3), hence the equation for F(x) is:
F(x) = -x² - 3.
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A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 25. If the claim is true, in a sample of 50 wall clocks, what is the probability that the mean clock life would differ from the population mean by greater than 1.5 years
The probability that the mean clock life would differ from the population mean by greater than 12.5 years is 98.30%.
Given mean of 14 years, variance of 25 and sample size is 50.
We have to calculate the probability that the mean clock life would differ from the population mean by greater than 1.5 years.
μ=14,
σ=[tex]\sqrt{25}[/tex]=5
n=50
s orσ =5/[tex]\sqrt{50}[/tex]=0.7071.
This is 1 subtracted by the p value of z when X=12.5.
So,
z=X-μ/σ
=12.5-14/0.7071
=-2.12
P value=0.0170
1-0.0170=0.9830
=98.30%
Hence the probability that the mean clock life would differ from the population mean by greater than 1.5 years is 98.30%.
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There is a mistake in question and correct question is as under:
What is the probability that the mean clock life would differ from the population mean by greater than 12.5 years?
How many solutions does this linear system have?
y = 2/3+ 2
6X - 4y = -10
one solution: (-0.6, -1.6)
one
solution; (-0.6, 1.6)
no solution
infinite number of solutions
The solution to the system of equation is (-0.6, 1.6)
Given the system of linear equations as shown:
y = 2/3x+ 2 .................. 1
6x - 4y = -10................ 2
Substitute equation 1 into 2 to have:
6x - 4(2/3x + 2) = -10
6x - 8/3 x - 8 = -10
10/3 x = -2
10x = -6
x =-0.6
Determine the value of y
y = 2/3x + 2
y = 2/3 (-0.6) + 2
y = -0.4 + 2
y = 1.6
Hence the solution to the system of equation is (-0.6, 1.6)
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Drag each expression or value to the correct box. Not all tiles will be used.
Luke started a weight-loss program. The first week, he lost x pounds. The second week, he lost pounds less than times the pounds he lost the first week. The third week, he lost 1 pound more than of the pounds he lost the first week.
Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than times the pounds Luke lost the first week. The second week, he lost 4 pounds less than times the pounds Luke lost the first week. The third week, he lost pound more than times the pounds Luke lost the first week.
Assuming they both lost the same number of pounds over the three weeks, complete the following sentences. Luke started a weight-loss program. The first week, he lost x pounds. The second week, he lost 3/2 pounds less than 3/2 times the pounds he lost the first week. The third week, he lost 1 pound more than 3/4 of the pounds he lost the first week.
Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than 3/2 times the pounds Luke lost the first week. The second week, he lost 4 pounds less than 5/2 times the pounds Luke lost the first week. The third week, he lost 1/2 pound more than 5/4 times the pounds Luke lost the first week.
Assuming they both lost the same number of pounds over the three weeks, complete the following sentences.
Answer:Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than 3/2 times the pounds Luke lost the first week. The second week, he lost 4 pounds less than 5/2 times the pounds Luke lost the first week. The third week, he lost 1/2 pound more than 5/4 times the pounds Luke lost the first week.Assuming they both lost the same number of pounds over the three weeks, complete the following sentences.Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
• h(x) = x + 4
O h(x) = x-4
O h(x) = =x
h(x) = Lx
Step-by-step explanation:
[tex]f(x) = 4x[/tex]
[tex] \: [/tex]
[tex]y = 4x[/tex]
[tex]4y = x[/tex]
[tex]y = \frac{x}{4} [/tex]
[tex] {f}^{ - 1} (x) = \frac{ x}{4} [/tex]
[tex]h(x) = \frac{x}{4} [/tex]
The answer is D.
what is the value of 3ypower zero
Answer:
3
[tex]3 {y}^{0} [/tex]
[tex] = 3 \times 1[/tex]
[tex] = 3[/tex]
If any numbers or constant power is zero then it will be 1
Answer:
3
Step-by-step explanation:
So anything to the power of zero is equal to 1. So you have the equation: [tex]3y^0=3(1)=3[/tex]
If this doesn't make much sense, I sometimes like to use identities to show why this is. So since you're most likely learning exponents, you likely know the identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] well you can use this identity to express the equation: [tex]\frac{x^a}{x^a}=x^{a-a}=x^0[/tex]. and since x^a should equal x^a, and it's being divided by it self, this is equal to 1.
Btw if you didn't understand the identity: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] I'll try to briefly explain it. The reason this is true, is because you can cancel stuff out if it's being multiplied in the denominator and numerator. For example: [tex]\frac{3a}{3}[/tex]. I can cancel out the 3, because if I multiply 3 by a, and then divide by 3, I'm going to be left with a, because they're inverse to each other. This should hold true for exponents. So you can think of the identity more like: [tex]\frac{x*x*x...\text{a amount of times}}{x*x*x\text{b amount of times}}[/tex] seeing it like this might help understand why you subtract, since you're just cancelling out the x's.
I'll give you a more definitive example to help you grasp it in an example so: [tex]\frac{2^4}{2^2}=\frac{2*2*2*2}{2*2}=\frac{2*2}{1}=2^2[/tex]. See how I canceled out 2 of the 2's, well all I was really doing was subtracting 2 from the degree of the numerator, or in other words I was subtracting the degree of the denominator from the numerator since the bases were the same which is exactly what the identity is doing.
Solve each system by elimination.
10x-6y=-8
-10x+6y=8
Answer:
Infinitely Many Solutions
Step-by-step explanation:
[tex]10x-6y=-8\\-10x+6y=8\\\0 = 0\\[/tex]
Which expression is a prime polynomial?
A. 3x2+18y
B. x3−27y6
C. 10x4−5x3+70x2+3x
D. x4+20x2−100
The expression that is a prime polynomial is:
B. [tex]x^3 - 27y^2[/tex].
What is a prime polynomial?A prime polynomial is a polynomial that cannot be factored.
In this problem, item b gives a prime polynomial, as:
In item a, 3 is a common factor, hence the polynomial can be factored.In item c, x is a common factor, hence the polynomial can be factored.In item d, the polynomial can be factored according to it's roots.More can be learned about prime polynomials at https://brainly.com/question/26388060
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What is the rate of change of the linear function represented by the table? StartFraction one Over three EndFraction StartFraction one Over two EndFraction 2 3
The rate of change of the linear function represented by the table is 3
Rate of change of a functionThe rate of change of a function is also known as the slope of a function. The equation for calculating the slope is expressed as:
Slope = y2-y1/x2-x1
using the coordinates from the table (-2, -13) and (-1, -10)
Substitute
Slope = -10-(-13)/-1-(-2)
Slope = -10+13/-1+2
Slope =3
Hence the rate of change of the linear function represented by the table is 3
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Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
A geometric sequence goes from one term to the next by always multiplying or dividing by the constant value except 0. The constant number multiplied (or divided) at each stage of a geometric sequence is called the common ratio (r).
A geometric series is the sum of an infinite number of terms of a geometric sequence.
A geometric series is convergers if |r| < 1.
A geometric series is diveres if |r| > 1.
Calculate the common ratio:
[tex]r=\dfrac{18}{27}=\dfrac{18:9}{27:9}=\dfrac{2}{3}\\\\r=\dfrac{12}{18}=\dfrac{12:6}{18:6}=\dfrac{2}{3}\\\\r=\dfrac{8}{12}=\dfrac{8:24}{12:4}=\dfrac{2}{3}[/tex]
[tex]\left|\dfrac{2}{3}\right| < 1[/tex]
The geometric series is converges.Therefore exist the sum.
Formula of a sum of a geometric series:
[tex]S=\dfrac{a_1}{1-r},\qquad|r| < 1[/tex]
Substitute:
[tex]a_1=27,\ r=\dfrac{2}{3}[/tex]
[tex]S=\dfrac{27}{1-\frac{2}{3}}=\dfrac{27}{\frac{1}{3}}=27\cdot\dfrac{3}{1}=81[/tex]
[tex]\huge\boxed{S=81}[/tex]
How do i solve f(x)=log3(x-2)-2
To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .
f(x)=log3(x-2)-2
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
Since,
f(x)=log3(x-2)-2
The above function will goes to infinity when we put x = 2.
So the given function has solution for x > 2.
Thus, the To have solution for f(x)=log3(x-2)-2. x must be x >2 or x ( 2, ∞) .
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The owner of a farm plants apple trees and mango trees in a ratio of 16:6. How many oak trees are planted if 198 mango trees are planted?
Answer:528 apple trees
Step-by-step explanation:Listen 198/6=33 so then just multiply 33x16 that equals 528 hope this helps
Please help with this
Step-by-step explanation:
[tex] = \frac{14\pi}{6} [/tex]
[tex] = \frac{ \cancel{14}\pi}{ \cancel6} [/tex]
[tex] = \frac{7\pi}{3} [/tex]
[tex] = \frac{6\pi + \pi}{3} [/tex]
[tex] = \frac{6\pi}{3} + \frac{\pi}{3} [/tex]
[tex] = 2\pi + \frac{\pi}{3} [/tex]
[tex] = 0 + \frac{\pi}{3} [/tex]
[tex] = \frac{\pi}{3} \: \text{where} \: \frac{\pi}{3} < 2\pi[/tex]
The answer is B.
What is 36 as the product of powers of 2 and 3
Answer:
your answer please mark me as brainlist
can anyone slove this with the formulas
Answer:
Lemo shared pizza with four friends
=============
Let the pizza was shared between x people.
Set up equation and solve for x:
3 1/3 ÷ x = 2/310/3 ÷ x = 2/3x = 10/3 ÷ 2/3x = 10/3 × 3/2x = 10/2x = 5If we exclude Lemo, the number of friends is 4.
Is the graph increasing, decreasing, or constant?
A. Constant
B. Increasing
C. Decreasing
Answer:
C. Decreasing
Step-by-step explanation:
The graph is decreasing because the graphed line read from left to right is slanting down.
Hope this helps!
If not, I am sorry.
Answer:
DecreasingStep-by-step explanation:
Hello
If a graph is constant, it doesn't have any change at all.
If a graph is increasing, it looks like this-:
[tex]\Huge\nearrow[/tex]
If a graph is decreasing, it looks like this-:
[tex]\searrow[/tex]
Since the given graph is most similar to [tex]\searrow[/tex], it's decreasing.
[tex]\pmb{\tt{done~!!}}[/tex]
[tex]\orange\hspace{300pt}\above2[/tex]
The perimeter of a rectangular piece of paper is 28 inches. The area is 45 square inches. What are the dimensions of the paper?
The dimensions of the paper are 9 by 5 inches
How to determine the dimensions?Let x represent the length and y, the width
The given parameters are:
Perimeter, P = 28
Area, A = 45
So, we have
P = 2(x + y) = 28
A = xy = 45
Rewrite as:
2(x + y) = 28
xy = 45
By trial by error, we have:
x = 9 and y = 5
This can be proved as follows:
2(9 + 5) = 28--- true
9 * 5 = 45 --- true
Hence, the dimensions of the paper are 9 by 5 inches
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100% of x and also 200% of y
Hello !
Answer :
100% of x ⇒ 100/100 × x = 1 × x = x
200% of y ⇒ 200/100 × y = 2 × y = 2y
Total area =
Help please thanks
The total area of the given right trapezoidal prism is gotten as; A = 2592 sq.units
How to find the area of a right trapezoidal prism?The formula to find the Surface Area of a Trapezoidal Prism is;
A = h(b + d) +l(a + b + c + d) unit square.
Where;
h = height
b and d are the lengths of the base
a + b + c + d is the perimeter
l is length
Thus;
A = 12(25 + 15) + 32(13 + 25 + 13 + 15)
A = 480 + 2112
A = 2592 units square
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The function (x) is a transformation of the square root parent function,
f(x)=√. What function is /(x)?
5
-5
f(x)
h(x)
O A. h(x)=√x-2
OB. h(x)=√√T-2
OC. h(r)=√x+2
O D. h(x)=√x+2
Hello,
check for x = 2, we can see h(x) = 0
h(x) = √(x - 2) ⇒ h(2) = √(2 - 2) = √0 = 0 ⇒ ok
h(x) = √x - 2 ⇒ h(2) = √2 - 2 ≠ 0 ⇒ not this answer
h(x) = √x + 2 ⇒ h(2) = √2 + 2 ≠ 0 ⇒ not this answer
h(x) = √(x + 2) ⇒ h(2) = √(2 + 2) = √4 ≠ 0 ⇒ not this answer
So the answer is h(x) = √(x - 2)
How do you write 9.26 as a fraction?
Answer:
463/50 or 9 13/50
Answer:
9.26=9 13/50
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
9.26=9.26/1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10^2 = 100
9.26/1×100/100=926/100
Find the Greatest Common Factor (GCF) of 926 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,
926÷2/100÷2=463/50
Simplify the improper fraction,
=9 13/50
In conclusion,
9.26=9 13/50
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
Answer:
9$
Step-by-step explanation:
$3.49 rounds to 3 dollars since it is not half of a dollar. If it was $3.50 (which is half of a dollar) it would round to 4 dollars, but it isn't so it just rounds to $3. $1.14 rounds to one dollar, but since there were three of them there will be a total of three dollars (approximately) in oranges. $3.46 rounds to $3. Add all three estimates together and you get 9 dollars :)
Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
322. (m − 7)(m + 7)
Answer:
The product is the difference of squares is [tex]$$\left(m-7\right)\left(m+7\right)={{m}^2}-49$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (m-7)(m+7).We have to multiply the given expression.Square the first term m. Square the last term 7 .[tex]$$\begin{aligned}&(m-7)(m+7)=(m)^{2}-(7)^{2} \\&(m-7)(m+7)=m^{2}-49\end{aligned}$$[/tex]
the highest of three cylinders are 3 cm 9 cm and 5 cm if the cylinder has a capacity of 725 calculate the capacitance of the other cylinders
The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.
How to find the capacitanceCapacity of a cylinder is seen as its volume
Volume of a cylinder = πr²h
The heights of the cylinders are
a. 3cm
b. 9cm
c. 5cm
Let's find the radius
Capacity = 3. 142 × r² × 3
725 = 3. 142 × r² × 3
r² = [tex]\frac{725}{3. 142 * 3}[/tex]
r² = [tex]\frac{725}{9. 426}[/tex]
r² = 76. 91
r = √76. 91
r = 8. 77cm
Radius of the cylinders = 8. 77cm
For cylinder with height of 9cm
Capacitance = πr²h
Capacitance = 3. 142 × 8. 77 × 8. 77 × 9
Capacitance = 2174. 94 cm³
For cylinder with height of 5cm
Capacitance = 3. 142 × 8. 77 × 8. 77 × 5
Capacitance = 1208. 30 cm³
Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.
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Factor completely, −5x^2 + 10x − 25
[tex]\bf{-5x^{2} +10x-25 }[/tex]
[tex]\bf{Rewrite \ 10 \ as:5\cdot2.}[/tex]
[tex]\bf{Rewrite \ 25 \ as:5\cdot5.}[/tex]
[tex]\bf{=-5x^2+5\cdot \:2x-5\cdot \:5}[/tex]
[tex]\bf{Factor \ the \ common \ term \ 5.}[/tex]
[tex]\bf{=5(-x^{2} +2x-5) \ \ \to \ \ \ Answer }[/tex]
{ Pisces04 }The instructions for building a kite tell you to begin by cutting a strip of wood to 45 cm in length, but your ruler only measures inches. How many inches should the piece of wood be? Round to the nearest quarter of an inch.
(Recall: 1 in. = 2.54 cm)
a.
b.
c.
d.
The length of the piece should be 17.716 inches.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
length = 45 m
one inch = 2.54 cm
So, length of strip would be
=45/2.54
=17.716
Hence, the length of the piece should be 17.716 inches.
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What are the factors of the trinomial?
(x + 1) and (x – 4)
(x + 4) and (x – 1)
(x + 5) and (x – 4)
(x + 4) and (x – 5)
Select the correct answer. two triangles, abc and cde, share a common vertex c on a grid. in triangle abc, side ab is labeled 4x minus 1, side bc is labeled 4, side ac is labeled 5. in triangle cde, side cd is labeled 5, side de is labeled x plus 2, side ce is labeled 4. if geometry symbol represented as small triangle with three sides. abc a geometry symbol represented as small triangle with three sides. dec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
The value of x based on the information given in the triangle is D. x = 1.
How to compute the value?From the information given, it stated that the triangles are similar.
In this case, both triangles have side 4 and 5. Therefore, we are to find the last side. This will be:
4x - 1 = x + 2
Collect like terms
4x - x = 2 + 1
3x = 3
x = 3/3
x = 1
Therefore, the correct option is D.
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Answer:
x=1
Step-by-step explanation: