9514 1404 393
Answer:
7 hours
Step-by-step explanation:
4 × (1 3/4) = 4×1 + 4×3/4 = 4 + 3 = 7
Mimi spent 7 hours watching the game.
-2 1/4 + -4 1/2
(Please answer as fast as possible)
Answer: -6 3/4
Short explained no step by step
Simplify 3 square root of 2 - 3 square root of 18
Answer:
-6 √(2) = -8.48528137424
Step-by-step explanation:
:))
Identify the pattern for the following sequence. Find the next three terms in the sequence. 5, 2, -1, -4, ____, ____, ____,...
Answer: -7, -10, -13, -15
Step-by-step explanation: It’d changing by a constant difference of -3.
Can someone please help me I really don’t understand this
Answer:
Umm sorry i thought i knew it But my answer was wrong. I'm sorry and i hope you found the answer:)
Step-by-step explanation:
Which of the choices best describes this arithmetic sequence?
-3, 1, 5, 9, 13,...
Answer:
Add by 4
Step-by-step explanation:
-3+4=1
1+4=5
5+4=9
9+4=13
Alicia had $-11 in her checking account. She did a few chores and made $44.50. She
decided to pay for her and a friend to go to the movies, and each ticket cost $6.25. How
much money does she have left in her checking account?
Answer:
she would have 21 dollars left
Step-by-step explanation:
44.50-11
33.50-12.50
Answer:
\(\Huge \boxed{\$ \ 21}\)
Step-by-step explanation:
She had $-11 initially and gained $44.50.
-11 + 44.5 = 33.5
She has $33.5 in her account.
She buys two tickets for $6.25 each.
33.5 - (2)6.25 = 21
She has $21 left in her account.
we have 6 balls labelled 1-6 what is the probability that after 4 draws with replacement we obtain an increasing (non-decreasing) sequence?
The probability of obtaining an increasing (non-decreasing) sequence after 4 draws with replacement from 6 balls labelled 1-6 is 1/15.
To explain the answer, we can first consider the number of possible combinations of four numbers that can be drawn from the six numbers. Since each draw is done with replacement, each draw has the same probability and the same six numbers can be chosen. Thus, there are 6 x 6 x 6 x 6 = 1296 possible combinations.
Next, we can calculate the number of possible increasing (non-decreasing) sequences. If the first number drawn is 1, then the remaining three numbers must be greater than or equal to 1. Thus, the second number can be 1, 2, 3, 4, 5, or 6, the third number can be 1, 2, 3, 4, 5, or 6, and the fourth number must be 6. There are 6 x 6 x 1 = 36 possible increasing sequences if the first number drawn is 1. If the first number drawn is 2, then the second number can be 2, 3, 4, 5, or 6 and the remaining two numbers must be greater than or equal to 2. Thus, the third number can be 2, 3, 4, 5, or 6, and the fourth number must be 6. There are 5 x 5 x 1 = 25 possible increasing sequences if the first number drawn is 2. This process can be repeated for the remaining numbers, 3, 4, 5, and 6. The total number of increasing (non-decreasing) sequences is the sum of these possibilities, which is 36 + 25 + 15 + 6 + 1 = 83.
Therefore, the probability of obtaining an increasing (non-decreasing) sequence after 4 draws with replacement from 6 balls labelled 1-6 is 83/1296 = 1/15.
To know more about probability refer here:
https://brainly.com/question/30034780
#SPJ11
A 7075-T6 aluminum alloy is loaded in tension. Initially the 10mmx 100mmx500mm plate has a 4-mm single-edge through-the-thickness crack. (a) Is this test valid? (b) Calculate the maximum allowable ten
A 7075-T6 aluminum alloy is loaded in tension. Initially the 10mm x 100mm x 500mm plate has a 4-mm single-edge through-the-thickness crack. first, the 7075-T6 aluminum alloy's maximum tensile stress has to be determined. Then, using the maximum tensile stress and the Griffith theory, the maximum allowable tensile stress can be calculated
.A) Validity of the TestInitially, the 10mm x 100mm x 500mm plate has a 4-mm single-edge through-the-thickness crack. As a result, the tensile test cannot be deemed valid since the presence of a crack may alter the aluminum alloy's tension stress and disrupt the test's accuracy. This means that the test specimen must be free of defects such as scratches, notches, cracks, etc.
B) Calculation of the Maximum Allowable Tensile StressA 7075-T6 aluminum alloy has an ultimate tensile strength of 572 MPa and a fracture toughness of 24.9 MPa√m. the material in this case is ductile, the maximum allowable tensile stress (σm) can be calculated asσm
= [(2 × γ · E) / πa] 1/2where a is the length of the crack, E is Young's modulus, and γ is the surface energy.γ = √(2σf y
= 78.6 N/m (σf is the fracture stress, and G is the fracture toughness)σf
= 572 MPaG
= 24.9 MPa√mE
= 71.7 GPa (from table)We can substitute the values of E, γ, a, and σf into the above equation.σm
= [(2 × 78.6 N/m × 71.7 GPa) / π × 4 × 10⁻⁶ m] 1/2σm
= 490.7 MPaThe maximum allowable tensile stress is 490.7 MPa.
To know more about maximum, visit:
https://brainly.com/question/30693656
#SPJ11
Can Anybody Solve this and send the pic of the ans!
Answer:
solve it yourself
Step-by-step explanation:
length of ist part= 30 cm
breadth of ist part = 21 cm
area of ist part = 630 cm
diameter of 2nd part= 21 cm
area of 2nd part = ¼dπ
π= 22/7
= ¼× 21 ×22/7
=3×10.5
= 31.5cm²
total area = ist part +2nd part + 3rd part
=
Ten people were asked to use their calculator to randomly generate a number between 1 and 100.
What is the chance that at least two people generated the same number?
Answer:
10% chance
Step-by-step explanation:
Answer:
Random numbers can be quickly and easily generated by using the graphing calculator.
Step-by-step explanation:
Rotation of 180°, followed by a dilation with scale factor 5, followed by a reflection over the line y = x.
a. A' (15, -10) b.
A' (-15, 10)
C. A' (-10, 15)
d. A' (10, -15)
Answer:
A
Step-by-step explanation:
Let's call the length of each of the other two sides x. Since the triangle is isosceles, it has two sides of equal length. Therefore, the perimeter of the triangle can be expressed as 6 + x + x Simplifying this equation, we get 2x + 6 We know that the perimeter is 22 cm so we can set up an equation and solve for x. 22 = 2x + 6 Subtracting 6 from both sides, we get 16 = 2x Dividing both sides by 2, we get x=8
trigonometric ratios and finding missing sides. please help with 4, 5, 6, 7 and 9
The missing sides are;
1) 25
2) 29
3) 14
4) 19
5) 46
6) 4
What are the trigonometric ratios?For a right triangle with an angle θ, the trigonometric ratios are defined as follows:
Sine (sin): the ratio of the length of the side opposite the angle to the length of the hypotenuse. So, sin(θ) = opposite/hypotenuse.
Cosine (cos): the ratio of the length of the adjacent side to the length of the hypotenuse. So, cos(θ) = adjacent/hypotenuse.
1) sin 29 = 12/x
x = 12/sin 29
x = 25
2) Cos 16 = x/30
x = 30 cos 16
= 29
3) Tan 58 = 22/x
x = 22/Tan 58
x = 14
4) Tan 51 = x/15
x = 15 tan 51
= 19
5) Cos 37 = 45/x
x = 45/Cos 37
x = 56
7) Sin 24 = x/9
x = 9 sin 24
= 4
Learn more about trigonometric ratio:https://brainly.com/question/25122832
#SPJ1
5. Which of the following expressions is equivalent to:
3(x + 4) - 2
A 3x + 10
B 3x + 14
3x + 4
3x + 5
The expression that is equivalent to 3(x + 4) - 2 is 3x + 10
Calculating the expression that is equivalent to 3(x + 4) - 2From the question, we have the following parameters that can be used in our computation:
3(x + 4) - 2
Open the bracket in the above expression
So, we have the following representation
3(x + 4) - 2 = 3x + 12 - 2
Evaluate the difference of the like terms in the above expression
So, we have the following representation
3(x + 4) - 2 = 3x + 10
using the above as a guide, we have the following:
The expression that is equivalent to 3(x + 4) - 2 is 3x + 10
Read mre about expression at
https://brainly.com/question/15775046
#SPJ1
Common assessment, pls help!
Which transformations map figure M onto figure N?
A. a rotation 90 clockwise about the origin and a translation down 1 unit
B. a rotation 90 clockwise about the origin and a translation up 1 unit
C. a rotation 90 counterclockwise about the origin and a translation down 1 unit
D. a rotation 90 counterclockwise about the origin and a translation up 1 unit
Answer:
The Answer is: C
your welcome
it cost paisley $9.20 to send 92 text messages how much would it cost to send 110 text messages
Answer:
$11.00
Step-by-step explanation:
Since 92 texts cost her 9.20, each text cost her 10 cents. 110*10 =1100
Nathan cut an isosceles triangle from felt to
make a spirit banner. Two sides of his banne
had the following measures: 15 inches and
7 inches. Which could be the measure of the
third side of Nathan's banner?
A 20 inches
B 15 inches
C 10 inches
7 inches
Answer:
B) 15
Step-by-step explanation:
only options are 15 or 7 inches because the problem mentioned the triangle is isosceles (they have two equal sides)
we can eliminate 7 because of the triangle inequality theorem
if two sides of a triangle are 7 then their sum is only 14 and it would need to be greater than the third side of 15
Find angle 1
PLS ANSWER ASAP
Answer:
80 degrees
Step-by-step explanation:
What we see in this drawing is a triangle formed by three lines. In order to solve this problem, we need to know that when two lines intersect, the two angles formed are supplementary (meaning they add up to 180 degrees). For example, the 150-degree angle, and the angle right next to it (the angle on the left side of the triangle) add up to 180 degrees. This means that the left-most angle of the triangle is 180-150, which is 30 degrees
We can figure out the topmost angle of the triangle using the same method. We know that the angle outside the triangle is 130 degrees, so the angle right next to it (in this case, right below it), is 180-130, or 50 degrees.
Next, we use the fact that triangles are 180 degrees on the inside to figure out the third angle (the one on the right, right next to angle 1). We know that the other two angles are 30 and 50 degrees, and if you add that up, you get 80 degrees. The last angle, then, is 180-80, or 100 degrees.
Lastly, we know that the rightmost angle of the triangle and angle 1 add up to 180 degrees. In other words, 100+Angle1=180. Therefore, Angle 1 is 180-100 or 80 degrees.
I NEED HELP ASAP I NEED MAJOR HELP!!! GIVING POINTSS AND BRAINLIEST!!!!!
What linear function can be represented by the set of ordered pairs?
{(-4, 15), (0, 5), (4, -5), (8, -15)}
A) 5/2x+5
B) −5/2x+5
C) −2/5x+5
D) 2/5x+5
Answer:
C) −2/5x+5
Step-by-step explanation:
Here is why me is lonley :)))
system is described by the following differential equation:
dt
3
d
3
y
+3
dt
2
d
2
y
+5
dt
dy
+y=
dt
3
d
3
x
+4
dt
2
d
2
x
+6
dt
dx
+8x Find the expression for the transfer function of the system, Y(s)/X(s).
The transfer function of the system, Y(s)/X(s), is Y(s)/X(s) = (y(s) - 4s^3X(s) + 8X(s) + s^2y(0) + sy'(0) + 4s^2x(0) + 4sx'(0))/(s^3 - 1).
The given differential equation represents a system described by a transfer function. To find the transfer function of the system, we need to take the Laplace transform of the equation.
Let's denote the Laplace transform of y(t) as Y(s) and the Laplace transform of x(t) as X(s), where s is the complex frequency.
Taking the Laplace transform of each term of the given differential equation, we get:
s^3Y(s) - s^2y(0) - sy'(0) - y(s) + 4s^3X(s) - 4s^2x(0) - 4sx'(0) - 8X(s) = 0
Now, let's rearrange the equation to solve for Y(s) in terms of X(s):
s^3Y(s) - y(s) + 4s^3X(s) - 8X(s) = s^2y(0) + sy'(0) + 4s^2x(0) + 4sx'(0)
Y(s)(s^3 - 1) = y(s) - 4s^3X(s) + 8X(s) + s^2y(0) + sy'(0) + 4s^2x(0) + 4sx'(0)
Dividing both sides by (s^3 - 1), we get:
Y(s) = (y(s) - 4s^3X(s) + 8X(s) + s^2y(0) + sy'(0) + 4s^2x(0) + 4sx'(0))/(s^3 - 1)
Therefore, the transfer function of the system, Y(s)/X(s), is:
Y(s)/X(s) = (y(s) - 4s^3X(s) + 8X(s) + s^2y(0) + sy'(0) + 4s^2x(0) + 4sx'(0))/(s^3 - 1)
This transfer function relates the Laplace transform of the output, Y(s), to the Laplace transform of the input, X(s).
To know more about transfer function:
https://brainly.com/question/31326455
#SPJ11
Solve the equation for the variable.
\( \frac{2}{5} x + 15 = x - 6\)
x = [?]
Answer:
x = 35Step-by-step explanation:
\(\frac{2}{5} x + 15 = x - 6\)
First multiply through by 5 to eliminate the fraction
That's
\(5 \times \frac{2}{5} x + 15(5) = 5x - 30 \\ 2x + 75 = 5x - 30\)
Next using the subtraction property subtract 5x from both sides
That's
\(2x - 5x + 75 = 5x - 5x - 30 \\ - 3x + 75 = - 30\)
Next subtract 75 from both sides
\( - 3x + 75 - 75 = - 30 - 75 \\ - 3x = - 105\)
Divide both sides by - 3
\( \frac{ - 3x}{ - 3} = \frac{ - 105}{ - 3} \)
We have the final answer as
x = 35Hope this helps you
The points earned by each choir team during the All-State Competition are as follows:
Choir Choir A Choir B Choir C Choir D
Points 129.5 130.1 130.8 129.8
If points are reported by rounding to the nearest whole number, which team has a different score? (5 points)
Choir A
Choir B
Choir C
Choir D
Answer:
d
Step-by-step explanation:
find the least integer n such that f(x) is o(xn) for each of the following functions: (a) f(x)=2x2 x4log(x) (b) f(x)=3x7 (logx)4 (c) f(x)=x4 x2 1x4 1 (d) f(x)=x3 5log(x)x4 1
(a) The least integer n for which f(x) is o(\(x^n\)) is 4
(b) f(x) is not o(\(x^n\)) for any integer n.
(c) The least integer n for which f(x) is o(\(x^n\)) is 2.
(d) The least integer n for which f(x) is \(o(x^n)\) is 4.
How to find the least integer n for f(x)=2x2 x4log(x)?(a) To determine the order of growth of f(x), we need to find a function g(x) such that limx→∞ f(x)/g(x) = 0. Let g(x) = \(x^4\). Then:
limx→∞ f(x)/g(x) = limx→∞ (\(2x^2 / x^4\) log(x)) = limx→∞ (2 / (\(x^2\) log(x)))
Using L'Hopital's rule:
limx→∞ (2 / (\(x^2\) log(x))) = limx→∞ (\(2x^{(-2)}\) / log(x) +\(4x^{(-3)} / log(x)^2\)) = 0
Therefore, f(x) is o(\(x^4\)). The least integer n for which f(x) is o(\(x^n\)) is 4.
How to find the least integer n for f(x)=3x7 (logx)4?(b) Let g(x) = \(x^7\). Then:
limx→∞ f(x)/g(x) = limx→∞ (\(3x^7 / x^7 (log(x))^4\)) = limx→∞ (\(3 / (log(x))^4\))
Using L'Hopital's rule four times:
limx→∞ (\(3 / (log(x))^4\)) = limx→∞ (\(3 (4!) / (log(x))^4\)) = ∞
Therefore, f(x) is not o(\(x^n\)) for any integer n.
How to find the least integer n for f(x)=x4 x2 1x4 1?(c) Let g(x) = \(x^2\). Then:
limx→∞ f(x)/g(x) = limx→∞ \((x^4 / (x^2 + 1)(x^4 + 1))\) = 0
Therefore, f(x) is o\((x^2)\). The least integer n for which f(x) is o(\(x^n\)) is 2.
How to find the least integer n for f(x)=x3 5log(x)x4 1?(d) Let \(g(x) = x^4\). Then:
limx→∞ f(x)/g(x) = limx→∞ \((x^3 (5log(x)) / x^4)\) = limx→∞ (5 log(x) / x) = 0
Therefore, f(x) is\(o(x^4)\). The least integer n for which f(x) is \(o(x^n)\) is 4.
Learn more about order of growth
brainly.com/question/14661014
#SPJ11
For the complex number z = (5sqrt(3))/4 - 5/4 * i what is the polar form
Answer: 3
Step-by-step explanation:
The required polar form of the equation is \(Z = 5/2cos30 - 5/2sin30i.\)
For the complex number z = (5sqrt(3))/4 - 5/4 * i the polar form is to be determined.
The number that constitutes real and imaginary numbers are called complex numbers. The standard form of complex number = a + bi
\(z = 5\sqrt{3}/4 - 5/4i\)
the polar form complex numbner can be given as
\(z = rcos\theta +rsin\theta i\) - - - - - -(1)
where r = \(\sqrt{a^2+b^2}\)
and \(\theta=tan^-\frac{b}{a}\)
Since a = 5√3/4 and b = -5/4
\(r = \sqrt{(5\sqrt{3}/4)^2+(5/4)^2}\)
r = 10/4
r = 5/2
Now,
\(\theta=tan^-\frac{b}{a}\)
\(\theta=tan^-\frac{-5/4}{5\sqrt{3}/4 }\\\theta=tan^-\frac{1}{\sqrt{3} }\\\theta=tan^-(-tan30)\\\theta=-30\)
Now the polar form is given by substituting the values of r and \(\theta\) in equation 1
Here,
\(z = 5/2cos30 +5/2sin(-30)i\\z = 5/2cos30-5/2sin30 i\)
Thus, the required polar form of the equation is \(Z = 5/2cos30 - 5/2sin30i.\)
Learn more about complex numbers here: https://brainly.com/question/28007020
#SPJ5
write the base and power of each of the following exponent.
(-23/56)^6
Answer:
-191.10
Step-by-step explanation:
When you divide 56/23 you get 2.4, 2.4 is negative.
Multiply 2.4 6 times
&
2.4^6.
You get -191.10.
I am probably wrong but I tried.
Draw a quadrilateral that is not a rectangle that has an area of 18 square units. Show how you know the area is 18 square units
Answer:
Step-by-step explanation:
Find the value of X need ASAP please
Answer:
X= 80
Step-by-step explanation:
The length of a rectangle is 4ft longer than it’s width. If the perimeter of the rectangle is 68ft, find it’s length and width.
Answer:
Represent the length and width by L and W. Then L = W + 4.
Using the perimeter formula: P = 2L + 2W = 68 ft = 2W) + 2(W+4).
Solve for W: 68 = 2W + 2W + 8, or 4W = 60. Thus, W = 15 and L = 19.
The dimensions of the rectangle are 15 by 19 feet.
Hope this helps you
Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
For more questions on adjacent sides, click on:
https://brainly.com/question/28394984
#SPJ8
plzzzz helppppppppppppppppppppppp
Answer:
42.85 or 43 percent
Step-by-step explanation:
16 + 12 = 28
12/28 = x/100
12(100) = 28x
1200 = 28x
1200/28 = 28x/28
x = 42.85
Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
It is a vertical line
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(1 - 9) / (-7 + 7)
-8/0
= undefined
Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.
The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.
The point slope formula is represented below:
y - y₁ = m(x - x₁)where
m = slope
Let's find slope
(-7, 9)(-7, 1)
m = 1 -9 / -7 - (-7)
m = -8 / 0 = Undefined slope.
The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.
The equation of the line can be written as x = c.
where
c = constant
Therefore,
x = -7
The equation is x = -7
read more: https://brainly.com/question/19478605?referrer=searchResults