Answer:
5/4 or 1 1/5
Step-by-step explanation:
remove the zeros and you get 5/4 or 1 1/5
Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?
Answer:
Alex : 18
Step-by-step explanation:
3 + 2 = 5
30 ÷ 5 = 6
6 × 3 = 18
6 × 2 = 12
hi:) I tried using the sine rule but I couldn’t get the ans :( anyone able to help? Thank you:)!!
Answer:
141.9° (1 d.p.)
Step-by-step explanation:
Please see attached picture for full solution.
Sine rule cannot be used since there is no given angle in △PQR. Note that the bearing of Q from P (041°) equals to ∠NPQ not ∠PQR.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
243,729
Step-by-step explanation:
You just need to multiply each number by 3.
I hope this help you :)
Answer:
243, 729
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
1, 3, 9, 27, 81,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
1 - first term
3 - second term
1 ? ? = 3
1 × 3 = 3
So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
1, 3, 9, 27, 81,...
1 × 3 = 3
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
So, since 'multiply three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
81 × 3 = 243
243 × 3 = 729
Therefore, the next two terms in the sequence are 243, 729.
can you divide by zero
Answer:
No
Step-by-step explanation:
When you divide by 0, you will get an undefined error. When you try to graph a divide by 0, you will get asymptotes.
Answer:
no
Step-by-step explanation:
Find the derivatives of the function
Answer:
Part B)
[tex]\displaystyle h^\prime(t)=\frac{2t^3(4-t^3)}{(t^3+2)^3}[/tex]
Part C)
[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]
Step-by-Step Explanation:
Question B)
We have:
[tex]\displaystyle h(t)=(\frac{t^2}{t^3+2})^2[/tex]
And we want to find the derivative, h‘(t).
This will require the chain rule and the quotient rule. Remember that the chain rule states:
[tex]\displaystyle \frac{d}{dx}[(u(v(x))]=u^\prime(v(x))\cdot v^\prime(x)[/tex]
And the quotient rule:
[tex]\displaystyle \frac{d}{dx}[\frac{u}{v}]=\frac{u^\prime v-uv^\prime}{v^2}[/tex]
Therefore, for our function h(t), we can let, by the chain rule:
[tex]\displaystyle v(t)=\frac{t^2}{t^3+2}\text{ and } u(t)=t^2[/tex]
Then by the quotient rule:
[tex]\displaystyle v^\prime(t)=\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2}\text{ and } u^\prime(t)=2t[/tex]
Then, by the chain rule, our derivative, h’(t), is:
[tex]\displaystyle h^\prime(t)=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})[/tex]
Simplify:
[tex]\begin{aligned} \displaystyle h^\prime(t)&=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})\\ \\ &=\frac{2t^2}{t^3+2}(\frac{2t^4+4t-3t^4}{(t^3+2)^2})\\ \\ &= \frac{2t^2}{t^3+2}(\frac{-t^4+4t}{(t^3+2)^2}) \\ \\ &=\frac{2t^3(4-t^3)}{(t^3+2)^3} \end{aligned}[/tex]
Part C)
We have:
[tex]h(t)=2\cot^2(\pi t+2)[/tex]
Again, we will utilize the chain rule. This time, we will let:
[tex]u(t)=x^2\text{ and } v(t)=\cot(\pi t+2)[/tex]
Then differentiating gives (on the right, we will apply the chain rule a second time):
[tex]u^\prime(t)=2t\text{ and } v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]
To differentiate v(t), as mentioned, we need to apply the chain rule. We have:
[tex]v(t)=\cot(\pi t+2)[/tex]
We will let:
[tex]u_2(t)=\cot(t)\text{ and } v_2(t)=\pi t+2[/tex]
Therefore:
[tex]u_2^\prime(t)=-\csc^2(t)\text{ and } v_2^\prime(t)=\pi[/tex]
So:
[tex]v^\prime(t)=-\csc^2(\pi t+2)(\pi)[/tex]
And by simplification:
[tex]v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]
Therefore, it follows that:
[tex]h^\prime(t)=2[2(\cot(\pi t+2))(-\pi \csc^2(\pi t+2))][/tex]
So:
[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]
Construct line m such that the y-coordinate of every point is 1 1/2 and construct line n such that the z-coordinate of every point is 5 1/2
Answer:
Check below
Step-by-step explanation:
Hi there!
1)Assuming that we're dealing with a Three Dimensional plane, with their three axes xyz.
To construct a line m in which every y-coordinate is y= [tex]1\tfrac{1}{2}=\frac{3}{2}=1.5[/tex], to have the y -coordinate will be constant on [tex]1\tfrac{1}{2}[/tex].
Similarly, the same for the line n with its z-coordinate fixed on [tex]5\tfrac{1}{2}[/tex]
2) Since we're on a 3D plane with not two but three axes x, y, and z, the line in 2D (just x and y view) will be seen as planes. Check the second picture, please.
Edmund makes a cube using eight small cubes.
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund’s cube
Answer: 184
Step-by-step explanation:
so edmund would have a 2 by 2 cube (try and draw it out if that helps) so
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
so samuel cubeboid would be
long = 4
wide = 6
hight = 8
8 x 6 x 4 = 192 small cubes
but we are trying to find how much more samuel got
so 192 - 8 = 184
The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is driven an average of 10,000 miles per year. What will be the value of the car, in dollars, at a point in time y years from now?
A) $23,000 − $500y
B) $23,000 − $0.02y
C) $23,000 − $5,000y
D) $23,000 − $0.0002y
Answer: C
Step-by-step explanation:
If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.
Hope this helped you and made sense! Feel free to ask me any questions you have!
idk so help pls
10 point
Answer:
30 milk chocolates
Step-by-step explanation:
42 ÷ 7 = 6 - a fraction of the chocolates
6 x 5 = 30 - the milk chocolates (7+5 = 12 which is the whole fraction).
Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x greater-than 2 represents the situation. Which graph represents the inequality? A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.
Answer:
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
Step-by-step explanation:
x > 2 is the inequality
It is open circle at 2 as 2 is not included. Shaded to the right of the circle as it should be greater than 2
------------------
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.Yes, this is the correct option
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded.No, it should be right not left
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.No, it should be open circle as 2 is not included
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.No, it should be open circle and right side to be shaded, not left
Answer:
It's A I did the test. I got 100%.
Step-by-step explanation:
Please give brainliest if it helped you! Thanks, have a great day <3
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.
Helpppppppp??????????
Answer:
Answer is option d
Answer is given below with explanations.
Step-by-step explanation:
We can prove that the two triangles are similar.
We can prove this using AA criterion of similarity.
In triangle DNC and triangle QSC
Vertically opposite angles are equal.
Then Angle QCS = Angle DCN
Two parallel lines cut by a transversal line make the alternate angles are equal.
Then Angle NDC = Angle CQS
By AA criterion of similarity
TRIANGLE DNC ~ TRIANGLE QSC
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Jason’s budget is shown in the circle graph below. His total monthly budget is $3,000. How much does Jason spend on groceries?
A $25
B $150
C $450
D $750
Answer:
D.) 750
Step-by-step explanation:
3000-25%= 2250
3000-2250=750
Answer:
(D) $750
Step-by-step explanation:
[tex]3000* 0.25=750[/tex]
What is the solution set of the equation x+3x+2=3+1x? Note: x≠0, −2 {−1, 1} {2} {−1, 2} {−1}
Answer:
Interpreting as: x+3x+2=3+1x
Input:
x + 3 x + 2 = 3 + 1 x
Result:
4 x + 2 = x + 3
We want to find the solution set of the equation:
x + 3x + 2 = 3 + 1/x
The solution set is { (1 + √17)/8, (1 - √17)/8)}
To find this, we just need to solve the equation for x.
We start with:
x + 3x + 2 = 3 + 1/x
We simplify this to:
(x + 3x) + 2 = 3 + 1/x
4x + 2 = 3 + 1/x
4x + 2 - 3 - 1/x = 0
4x - 1 - 1/x = 0
Then we multiply by x in both sides to get:
4x^2 - x - 1 = 0
This is just a quadratic equation, the solutions are given by Bhaskara's equation.
[tex]x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*4*(-1)} }{2*4} \\\\x = \frac{1 \pm \sqrt{17} }{8}[/tex]
Then the solution set is: { (1 + √17)/8, (1 - √17)/8)}
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Find the measure of angle x in the figure below:
to
Answer:
70
Step-by-step explanation:
55 + 55 = 110
180 - 110 = 70
The angle is congruent to 70º
Answer:
70°
Step-by-step explanation:
Angles in a triangle add up to 180°.
180° - 55° - 55° = 70°
Vertically opposite angles, so x° = 70°.
What percent of the rectangle below is shaded?
Answer:
80% of the rectangle is shaded.
Step-by-step explanation:
There are 10 rows and of those rows 8 are shaded.
Answer:
D
Step-by-step explanation:
80/10
10 20 30 40 50 60 70 80 90 100
8 shaded so 80 percent
The parabola whose equation is
y = ax2 + bx + c passes through the points
(-3, -40), (0, 29), and (-1, 10). What is an
equation of the line of symmetry?
PLEASE EXPLAIN bc I really don’t understand
Answer:
29
Step-by-step explanation:
23
Which expression is equivalent to -12 (3x-3/4)? a. -36x-8 b. -36x+8 c. -36x-9 d. -36 x+9
Answer:
-36x +9
Step-by-step explanation:
-12 (3x-3/4)
Distribute
-12*3x - 12*-3/4
-36x +9
Answer:
d
Step-by-step explanation:
The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33
Answer: 3/21=1/7
Step-by-step explanation:
Find the output, y, when the input, x is −4
Answer:
i mean if i was you it would be 4 postive , in my math head
Step-by-step explanation:
Im not really sure how to answer this
Answer:
part a is the correct answer
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Dot plot because it is true that Ms. Spencer needs to see the individual data values because she wants to the number of students is most common so for example if 6 people have 2 siblings, she would know that 6 people has 2 siblings because she could could the 6 people!
The sum of three consecutive integers is 270. Find the integers
Answer:
Step-by-step explanation:
89,90,91
Answer:
Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:
x + x + 1 + x + 2 = 270
3x + 3 = 270
3x = 267
x = 89 which means that the answer is 89, 90, 91.
hey pls show some working i need some serious help
Answer:
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Step-by-step explanation:
Step 1: Multiply exponents
[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]
Step 2: Simplify
[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]
Step 3: Flip the negative exponents
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
If 3* = 54, then which of the following must be true?
Answer: 3 < pi < 4
Step-by-step explanation:
y=-2
x=-2y=6
y=-2
x+2y=6
x=-2
2x-y=3
x=-2
2x+y=-3
Answer:x+y=24
is the respuesta
In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the value of x?
Answer:
x = 12
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side
14x + 12 = 180 ( subtract 12 from both sides )
14x = 168 ( divide both sides by 14 )
x = 12
Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5
Step-by-step explanation:
x + 78 = 180
x = 180 - 78
x = 102° for <5
A 160 ft. long wire has a resistance of 16.2 12. What would the resistance of 8 ft. of wire be?
Answer: Resistance = 0.8106 ohms.
Step-by-step explanation:
Electrical resistance is proportional to the length of a wire.
The relationship between resistance and length of a wire can be expressed as;
L1/R1 = L2/R2
Let L1 = 160 ft, R1 = 16.212 ohms
L2 = 8ft, R2 = ?
Substitutes all the parameters values into the formula
160/16.212 = 8/R2
Cross multiply
160R2 = 129.696
R2 = 129.696/160
R2 = 0.8106 ohms.
Therefore, the resistance of 8 ft. of wire will be 0.8106 ohms.
Find the average rate of change of the function
f(x) = x² + 9x from x1 = 1 to x2 = 5.
Answer:
15
Step-by-step explanation:
The function is;
f(x) = x² + 9x
We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5
Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex] where h is the change in x-axis
When x = 1 , f(x) = 1² + 9(1) = 10
When x = 5, f(x) = 5² + 9(5) = 70
f(x + h) - f(x) = 70 - 10 = 60
h = 5 - 1 = 4
So average rate of change = [tex]\frac{60}{4}[/tex] = 15
The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to
x₂ = 5 will be 15.
What is Average rate?
The average rate change is defined by divide the change in y - values by the change in x - values.
Given that;
The function is defined as;
⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5
Now,
The formula for the average rate change is given as;
Average change = f (x + h) - f (x) / h
Where, h is change in x - axis.
Since, The function is;
f(x) = x² + 9x
When, x₁ = 1
f(x) = x² + 9x
f(1) = 1² + 9
f (1) = 10
When, x₂ = 5
f(x) = x² + 9x
f(x) = 5² + 9 x 5
f (5) = 25 + 45
f (5) = 70
So, Average change = f (x + h) - f (x) / h
Average change = 70 - 10 / (5 - 1)
= 60 / 4
= 15
Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.
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What is the equation for a school sales pencils to students for $.25 each. If a student has nine dollars how many pencils can a student by
Answer:
x=36
Step-by-step explanation:
1=0.25
x=9
0.25x=9
divide both sides by 0.25
so x=36
a student can buy 36pencils with 9 dollars
Answer:
Step-by-step explanation:
9/0.25=9/1/4=9*4=36