Answer:
Im not sure about my answer but um 11.59 maybe ? sorry if i'm wrong...
Step-by-step explanation:
1.74 x 3= 5.22 1.74 / 3 = 0.58 6.96 + 0.58 = 7.54
1.92 x 2= 3.84 1.92 / 9 = 0.21 3.84 + 0.21 =4.05
7.54 + 4.05 = 11.59
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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Measure the lengths of the following segments in inches.
A.
Length of : __________ in.
B.
Length of : __________ in.
9. Measure the lengths of the following segments in BOTH centimeters and
millimeters. (2 points each)
A.
Length of : __________ cm
Length of : __________ mm
B.
Length of : __________ cm
Length of : __________ mm
Answer:
is the answer A????????????
to be honest I’m only here for the answers but I also need the points
2.
The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site
are approximated by
77
S=56.9–40.7cos
6
where t is the time in months), with t=1 corresponding to January. Determine the months when
sales exceed 7700 units at any time during the month.
O May through September
O March through August
O March through September
O April through August
O August through April
Answer:
March through August
Step-by-step explanation:
Ok, in order to solve this problem, we must start by building an equation to solve. The original equation was:
\(S=56.9-40.7cos (\frac{\pi}{6}t)\)
and we need to figure out the months when the sales exceed 7700 units. Since the equation is given in hundreds of units, we need to divide those 7700 units into one hundred to get 77 hundred units. So we can go ahead and substitute that value in the equation:
\(77=56.9-40.7cos (\frac{\pi}{6}t)\)
if you wish you can rewrite the equation so the variable is on the left side of it but it's up to you. So you get:
\(56.9-40.7cos (\frac{\pi}{6}t)=77\)
and now we solve for t
\(-40.7cos (\frac{\pi}{6}t)=77-56.9\)
\(-40.7cos (\frac{\pi}{6}t)=20.1\)
\(cos (\frac{\pi}{6}t)=\frac{20.1}{-40.7}\)
\(cos (\frac{\pi}{6}t)=-0.4938\)
\(\frac{\pi}{6}t=cos^{-1}(-0.4938)\)
\(\frac{\pi}{6}t=2.087\)
\(t=\frac{2.087(6)}{\pi}\)
\(t=3.98 months\)
but there is a second answer to this problem. Notice that the function cos can be 2.87 at \(2\pi-2.087=4.1962 rad\) as well, so we repeat the process:
\(\frac{\pi}{6}t=4.1962\)
\(t=\frac{4.1962(6)}{\pi}\)
\(t=8.014 months\)
So now we need to determine on which period of times the number of items sold exceed 77 hundred units so we build different intervals for us to test:
(1,3.98) (3.98,8.014) and (8,014, 13)
and find a test value for each of the intervals and test it.
(1,3.98) t=2
\(S=56.9-40.7cos (\frac{\pi}{6}(2))\)
S=36.55
this is less than 77 so this is not our answer.
(3.98,8.014) t=5
\(S=56.9-40.7cos (\frac{\pi}{6}(5))\)
S=92.15
this is more than 77 so this is our answer.
(8.014,13) t=10
\(S=56.9-40.7cos (\frac{\pi}{6}(10))\)
S=36.55
this is less than 77 so this is not our answer.
so, since our answer is the interval (3.98,8.014)
this means that between the months of march and august we will be sellin more than 7700 units.
Marcus is trying to find 4 5/6-1 3/6. His work shown. What is Marcus's mistake?
Step 1: Subtract the wholes. 4-1=3
Step 2: Subtract the fractions. 5/6-3/6=2/6
Step 3: Subtract the differences. 3-2/6=2 4/6
Answer:
Step 3
Step-by-step explanation:
The mistake was made in Step 3.
Step 1: Subtract the wholes. 4 - 1 = 3
Step 2: Subtract the fractions. 5/6 - 3/6 = 2/6
After Step 2, He should have added them instead of subtracting them:
3 + 2/6 = 3 2/6
So, step 3 was his mistake.
Answer:step 3
Step-by-step explanation: he should have added
1) Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of -3. Then graph the line. 2) Write an equation in point-slope form of the line with slope -3/5 that contains(-10 ,8). Then graph the line.
Answer:
An equation in the slope-intercept form is:
y = a*x + b
Where a is the slope, and b is the y-intercept.
a)
Here we have a slope of 6 and a y-intercept of -3
Then the equation is:
y = 6*x - 3
Now we want to graph this.
To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.
To find the points, we evaluate in two different values of x.
x = 0
y = 6*0 - 3 = -3
Then we have the point (0, -3)
x = 1
y = 6*1 - 3 = 3
Then we have the point (1, 3)
The graph of this line can be seen in the image below (the red one)
b) Similar to before, here the slope is -3/5, then the equation is something like:
y = (-3/5)*x + b
Now we also know that the line passes through the point (-10, 8)
This means that when x = -10, we must have y = 8
Replacing these two in the equation we get:
8 = (-3/5)*-10 + b
8 = 6 + b
8 - 6 = 2 = b
Then this equation is:
y = (-3/5)*X + 2
The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)
Mr. Evans is currently 4 times as old as his son, Dan. If Mr. Evans was 46 years old 2 years ago, how old is Dan now?
Answer:
the son age is 13band Evans age is 52 years old at present day
Dan is 12 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the Age of Dan is x years
Mr. Evans Age = 4x
If Mr. Evans was 46 years old 2 years ago
The, Present age of Mr. Evans = 48 years
So, Dan's Age = 48/4
= 12 years.
Hence, Dan is 12 years old.
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The equation 6x + 5 = 5x + 11 +x-6 is true for all real numbers. Substitute a few real numbers for x to see that this is so and then try solving the equation. Describe
what happens.
Answer:
It will ALWAYS be true!
Step-by-step explanation:
Inputting any real or imaginary numbers such as i or e, (which are also known as complex numbers), and when put in the place of x will ALWAYS equal one another. You could put 1, 2, 3, etc. all the way up to infinity and still get the two equations equal to each other.
Hope this helped!
What is the value of sin(7pi/4)? See attached.
Answer:
-sqrt(2)/2 , the last option of your document.
Step-by-step explanation:
sin(7pi/4) = -sin(7pi/4 - pi)
= -sin(7pi/4 - 4pi/4)
= - sin(3pi/4)
sin(3pi/4) is a special angle , which is sqrt(2)/2
Hence, sin(7pi/4) = -sin(3pi/4)
= -sqrt(2)/2
Answer:
-sqrt(2)/2
Step-by-step explanation:
did the test
A cement mixture calls for 3 pounds of cement for 3 gallons of water. What is the ratio of water to cement? Enter only the missing number
Answer:
It would be 3:3, but simplified it would be 1:1. I hope this helped.
The ratio of water to cement will be 1 pound per gallon.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A cement mixture calls for 3 pounds of cement for 3 gallons of water.
Then the ratio of water to cement is given by dividing the numbers 3 by 3. Then we have
⇒ 3 / 3
⇒ 1 pound per gallon
1 pound per gallon means an equal amount of cement and water is needed to make a cement mixture.
The ratio of water to cement will be 1 pound per gallon.
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Genesis is older than Dylan. Their ages are consecutive integers. Find Genesis's age if
the product of their ages is 110.
(ill give brainliest )
Answer:
Dylan is 10 years old, and Genesis is 11.
Step-by-step explanation:
If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:
Dylan's age: x
Genesis' age: x+1
This would mean Genesis is a year older than Dylan.
The product of their ages is 110.
We can write an equation:
x×(x+1)=110
x²+x=110 (Distribute x)
x²+x-110=0 (Move 110 to the other side)
You can solve this by the quadratic equation, by factoring or by completing the square
I'll solve it by the quadratic equation:
We must first find the coefficients a, b and c, and then plug it into the formula.
\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)
Since we have a ± symbol, we get 2 real solutions, x1 and x2.
x=-1±21/2
x1=-1+21/2
x1=20/2
x1=10
x2=-1-21/2
x2=-22/2
x2=-11
Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.
Hope this helps, and let me know if you need help with another method to solve this problem!
What percent of the model is shaded green?
thank u
Answer:
20%
...........................
Answer:
20%
Step-by-step explanation:
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(-5)*8 using commutative property of multiplication
Using the commutative property for (-5) * 8, we can say that; (-5) * 8 = 8 * (-5)
What is Commutative Property of Algebra?The commutative property of algebraic multiplication states that changing the order of factors does not change the product. For example:
4 × 3 = 3 × 4
Similarly, 5 * 6 = 6 * 5
Now, we want to use commutative property to use (-5) * 8. Thus, we can say that; (-5) * 8 = 8 * (-5)
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Michelle is giving away prizes at one of her meetings.the prizes include 5 stress balls , 3 notepads , 2gift cards and 6 sticky notes what is the probability of her giving out a stress ball more then a gift card
Answer:
13 out of 16 (13/16)
Step-by-step explanation:
Add all of the items together.
5 stress balls + 3 notepads + 2 gift cards + 6 sticky notes = 16 items
So, now you have to find the probability out of 16.
Since there are 5 stress balls and 2 gift cards, there is a 5 out of 16 chance of passing out stress balls(5/16) and a 2 out 16 chance of handing out gift cards(2/16)
So, she has a 3 out 16 chance of handing out stress balls more than gift cards.
hope this helps and makes sense:)
Real-life Problems Question 6
The amount of money that Theresa has left is equal to £2,740.
How to write a linear equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:
Let the variable a represent cost of flights for each of them.
Let the variable f represent cost of accommodation for each of them.
Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;
y = 12(a + b)
y = 12(266 + 339)
y = £7,260
For the amount of money left, we have:
Amount of money left = £10,000 - £7,260
Amount of money left = £2,740.
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I need help with this please
Answer: 1/2???
Step-by-step explanation:
I hope this is correct...
HELP! PLEASE final math problem I need this done by tomorrow please!!!
22. An electronics store makes $125 profit on every iPhone it sells and $100 on every Android it sells.
The store owner wants to make a profit of at least $500 a day selling DVD players and CD players.
a. Write an inequality to describe the situation.
x=iPhone y=Android
____x ______ ____y ____ _______
(125/100) (≤ / ≥) (500/125)
-rearrange so y is the answer
Answer: y ≥ (5/4)x - 1, where x represents the number of iPhones sold and y represents the number of Androids sold.
Step-by-step explanation:
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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help meeeeeee its all due toad
Well, the answer would bee 1/10 for a simple reason: the 3 in 7.315 is in the tenth's spot while the 3 in 893.5 is in the ones. a one spot different that can be proven with logic.
URGENT, LAST 2 QUESTION!! WILL GIVE BRANLIEST!!! AT LEAST TAKE A LOOK!!
1. Which theorem would explain why PQ > SR?
FIRST IMAGE BELOW
A) Triangle Inequality Theorem
B) Pythagorean Theorem
C) Hinge Theorem
D) Converse of Hinge Theorem
2. What could you prove about the following diagram, using the Hinge Theorem?
SEOND IMAGE
A) HJ>HK
B) HK>HI
C) IJ>JK
Answer:
1.
D) Converse of Hinge Theorem
2.
C)IJ>JK
Step-by-step explanation:
1.
The Triangle Inequality Theorem is
the two smallest sides sum is greater than the largest side.
Pythagorean Theorem is
finding out the hypotenuse of a triangle.
Hinge Theorem is
"two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle" -Wikipedia
Converse of Hinge Theorem is
"If the two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle."
-Wikipedia
Our answer is the Converse of Hinge Theorem.
2.
Since ∠HIJ is larger than ∠HJK, then IJ>JK using the Hinge Theorem.
Which of the following is a geometric sequence?
A. 3, 6, 9, 15, 24
B. 2, 4, 8, 16, 32
C. 6, 13, 20, 27, 34
D. 2,5,7,12,19
Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5 centimeters, and height of 6 centimeters. The trapezoid is divided into a rectangle and a right triangle. The height of the triangle is aligned with the width of the rectangle and it has a hypotenuse of 6.5 centimeters.
The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following
perimeter and area of the trapezium.
Perimeter: 29 cmArea: 49.5 cm²How can the area and perimeter of the trapezium be found?The perimeter of a trapezoid is given as follows;
Perimeter = The sum of the lengths of the sides
Which gives;
Perimeter = 6 + 7 + 6.5 + 9.5 = 29
The perimeter of the trapezoid = 29 cm
Perimeter: 29 cmThe area of the trapezoid is given as follows;
\(Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}\)
Which gives;
\(Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5\)
The area of the trapezoid = 49.5 cm²
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Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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Points A, B, and C are collinear. If BC= 8.5 and AC= 13.2, select all possible values of AB
A. 4.7
B. 3.8
C. 21.7
D. 8.5
E. 13.2
I know that A is for sure an answer but I think there’s supposed to be another one
Points A, B, and C are collinear then the possibility of AB will be equal to 4.7. Hence, option A is correct.
What are Collinear Points?Points that are parallel to or within a single line are referred to as collinear points. In Euclidean space, two or more points have been shown to be collinear if they are situated on a line that is either close to or far from another.
As per the given information in the question,
The case is that when B is in between A and C, which means A, B, and C are collinear.
So,
AB + BC = AC
AB + 8.5 = 13.2
AB = 13.2 - 8.5
AB = 4.7
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What is the perimeter and area of shaded region?
The perimeter and area of the shaded regions are 31.4 and 37.69 respectively.
How to calculate the area and perimeter?a ) Big circle
Radius = r = 3
Perimeter of the big circle = 2 πr
= 2 π* 3
= 6 π
Area of the big circle = π \(r^{2}\)
= π * 9
= 9 π
b) Small circle
Radius = r = 2
Perimeter of the small circle = 2 πr
= 2 π* 2
= 4 π
Area of the small circle = π \(r^{2}\)
= π * 4
= 4 π
c) Full circle
Radius = r = 5
Perimeter of full circle = 2 πr
= 2 π* 5
= 10 π
Area of full circle = π \(r^{2}\)
= π * 25
= 25 π
d ) The shaded region
Perimeter of the shaded region of the circle =Perimeter of full circle
=10π
=31.4
Area of the shaded region of the circle = Area of full circle -(areas of big and small circles)
= 25π - 13 π
= 12 π
= 37.69
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angel found out that sales tax in san antonio texas is 8.25% and sales tax in Toronto Ontario is 13%. If he brought a 600 dollar phone in Toronto instead of san antonio, how much more would he play in sales tax.
evaluate the numerical value of the final momentum of the t-shirt using the results from parts a and b.
The final amount momentum of the t-shirt is 17.5 kg⋅m/s, which is the sum of the initial momentum of the t-shirt (2 kg⋅m/s) and the change in momentum (15.5 kg⋅m/s) due to the force applied.
The final amount momentum of the t-shirt is 17.5 kg⋅m/s, which is calculated by summing the initial momentum of the t-shirt (2 kg⋅m/s) and the change in momentum (15.5 kg⋅m/s) due to the force applied. Momentum is a vector quantity which is equal to the product of the mass and velocity of an object. In this case, the t-shirt has a mass of 4 kg and a velocity of 4 m/s. The force of 15 N applied to the t-shirt for 3 seconds causes the t-shirt to accelerate, increasing its velocity from 4 m/s to 8 m/s. This increase in velocity results in an increase in the momentum of the t-shirt from 2 kg⋅m/s to 17.5 kg⋅m/s. Thus, by calculating the change in momentum due to the applied force, we can determine the final momentum of the t-shirt.
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How do i write the prime factorization of 360 using division by primes?
Caroline was thinking of a number. Caroline subtracts 2.9 from the number and gets an answer of 2.9. Form an equation with x
Answer:
let the thought no be x
then, ×-2.9=2.9
or,x=2.9+2.9
or,x=5.8
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What is the equation of line H? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms. -8-7 -6 -5 -4 -3 -2 Y Line H 40- 35 30- 25 20 15 10 54 0 =5 10 -15 -20 -25- -30 -35- -40- 1 2 3 4 -S 5 6 7 -∞o 8
The equation of line H in fully simplified slope-intercept form is y = 15x + 10.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (40 - 10)/(2 - 0)
Slope (m) = 30/2
Slope (m) = 15.
At data point (0, 10) and a slope of 15, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 10 = 15(x - 0)
y = 15x + 10
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Help for Pre Calc please
The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:
\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.
How to obtain the inverse function?The function in this problem is defined as follows:
f(x) = 4x^4.
To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:
x = 4y^4.
Isolating the variable y, we have that:
y^4 = (x/4).
The inverse operation of the fourth power is the fourth root, hence:
\(y = \pm \sqrt[4]{\frac{x}{4}}\)
\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)
\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)
The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.
This means that the second statement is correct.
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