Answer:
637 DOLLARS
Step-by-step explanation:
have a good day
Work out the length of x
Give your answer rounded to 3 significant figures.
(not drawn accurately)
Answer:
11.2 mm
Explanation:
Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²
Insert Values:
x² + 3.8² = 11.8²
x² + 14.44 = 139.24
x² = 139.24 - 14.44 (subtract)
x² = 124.8
x = √124.8 (square root)
x = 11.1714 ≈ 11.2 (rounded to 3 significant figures)
3.8 mm
11.8 mm
to find:the unknown "x"
solution:we'll have to use pythagoras theorem.
unknown value is x
[tex] {c}^{2} = {b}^{2} - {a}^{2} [/tex]
[tex] {x}^{2} = {11.8}^{2} - {3.8}^{2} [/tex]
[tex] {x}^{2} = 124.8[/tex]
[tex] {x}^{2} = \sqrt{124.8} [/tex]
[tex]x = 11.17139204[/tex]
[tex]x = 11.2 \: mm[/tex]
Select all the numbers that are solutions to the equation x^3=27
1. √27
2. 3
3. 3√27
4. 27^3
5. 9
SELECT ALL THAT APPLY
√ = SQUARE ROOT
BRAINLIEST FOR CORRECT ANSWER. NOT CORRECT ANSWER GETS YOU REPORTED. ty so much
Answer:
Number 2 is the correct answer. The cube root of 27 is 3.
Step-by-step explanation:
[tex] {x}^{3} = 27[/tex]
[tex]x = \sqrt[3]{27} = 3[/tex]
In the xy-plane, line k passes through the points (8,4) and (9, 10), and is defined by the equation = mx+ b. What is the value of b?
Answer:
-44
Step-by-step explanation:
The slope of the line passing through two points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁)/(x₂ - x₁)
Therefore the slope of the given line k = (10-4)/(9-8) = 6
In the slope intercept equation, y = mx + b, m is the slope and b is the y intercept
Substituting for m we get the line equation as
y = 6x + b
Substitute any one of the points in this equation. Let's use point(8,4) ie x= 8, y =4
we get
4 = 6 x 8 + b
which gives b = 4-48 = -44
Write the following system of equations as an equivalent single equation without the y variable. x + y = 10 y = 4x + 5
The system of equations which is represented the equivalent single equation without the y variable in it is x-1=0.
What is a system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The system of equations as an equivalent single equation without the y variable has to be found out for the given equation.
The first equation given in the problem is,
[tex]x + y = 10[/tex]
Subtract x from both sides and solve it for y,
[tex]x + y -x= 10-x\\y=10-x[/tex] .........1
The second equation given in the problem is,
[tex]y = 4x + 5[/tex]
Put the value of y in this equation from equation 1 as,
[tex]y = 4x + 5\\10-x = 4x + 5\\10-5=4x+x\\5=5x\\5x-5=0[/tex]
Divide both side with number 5,
[tex]x-1=0[/tex]
Thus, the system of equations which is represented the equivalent single equation without the y variable in it is x-1=0.
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Find the surface area of a cylinder with a base radius of 5 ft and a height of 6 ft.
can someone help me please? Thank you!
Answer:
see the attachment!
#CarryOnLearning
find area of sector==
Answer:
63.35
Step-by-step explanation:
1. Remember the sector formula which is Ø/360 x pi x radius squared
2. Square the radius (11 in this question)
3. 11 squared is 121
4. Get the answer from the squared radius and multiply it by pi
5. 121 times pi is 380.13
6. Mulitply the final number on that side by the degree over 360
7. 380.13 times 60/360 is 63.35
8. In the end you get 63.35 or if rounding to the nearest tenth 63.4
Hope this helps! Correct me if im wrong! :) Have a nice day!
What is b and c in a quadratic equation if the equation is y=x2
A quadratic equation graph is a graph depicting the values of all the roots of the quadratic equation.
The value of b and c is zero.
What is the quadratic equation?A quadratic equation is said to be any polynomial equation of degree 2 or an equation that is in the form;
[tex]\rm ax^ 2 + bx + c = 0[/tex]
A quadratic equation graph is a graph depicting the values of all the roots of the quadratic equation.
Let us have a quadratic equation which is;
[tex]\rm x^2+5x+6[/tex]
On comparing with the standard equation of quadratic formula;
a = 1, b = 5, and c = 6
The equation is;
[tex]\rm y=x^2\\\\[/tex]
In this case the value of a = 1, b = 0, and c =0.
Hence, the value of b and c is zero.
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please solve please be right
Answer:
152
Step-by-step explanation:
Substitute 6 in for x since x = 6:
8(3(6) + 1)
8(18 + 1)
8(19)
= 152
hope this helps!
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
[tex]9 \frac{7}{12} - 4 \frac{3}{12} = 5\frac{4}{12} = 5 \frac{1}{3} [/tex]
Find the exact location of all the relative and absolute extrema of the function. (order your answers from smallest to largest x. ) g(x) = x2 − 4 x
The minima of the quadratic function is at the vertex, it is at (2, -4).
Where are the relative minima/maxima of the function?
First, we can see that our function is a quadratic function of positive leading coefficient. So it opens upwards.
Then we will only have a minima, which is located in the vertex of the parabola.
Remember that for:
y = a*x^2 + b*x + c
The x-value of the vertex is h = -b/2a
Then for g(x) = x^2 - 4x we have:
h = -(-4)/2*1 = 2
And the y-value of the vertex is:
g(2) = 2^2 - 4*2 = -4
Meaning that the minima of the function g(x) is (2, -4).
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The exact location of all the relative and absolute extrema of the function is (2, -4).
Where are the relative minima/maxima of the function?First, we can see that our function is a quadratic function of the positive leading coefficient.
Then we will only have a minimum, which is located in the vertex of the parabola.
The equation of the parabola is;
[tex]\rm y = ax^2 + bx + c[/tex]
The x-value of the vertex is h = -b/2a
Then for g(x) = x^2 - 4x we have:
h = -(-4)/2*1 = 2
And the y-value of the vertex is:
g(2) = 2^2 - 4*2 = -4
Meaning that the minima of the function g(x) are (2, -4).
Hence, the exact location of all the relative and absolute extrema of the function is (2, -4).
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Plxxx help meee (giving brainlyest to the person wit the correct answer)
Answer:
i dont know if im correct cause i know nothing about math
Step-by-step explanation:
18.6? my answer
Answer:
The answer is 24.8
Step-by-step explanation:
after you add the total ans subtract it gives you 24.8
Help ill give brain thing
Find the average rate of change for the function f(x) = 2x + 4 over an interval [2, 6].
Answer:
average rate of change = 2
Step-by-step explanation:
since f(x) is a linear function, then the slope is the measure of the average rate of change of f(x).
note the average rate of change is constant over any closed interval.
the equation of a linear function in slope- intercept form is
f(x) = mx + c ( m is the slope and c the y- intercept )
f(x) = 2x + 4 ← is in slope- intercept form
with slope m = 2
then average rate of change = 2
If the simple interest on $7000 for 10 years is $6300, then what is the interest rate? I will pick branliest answer with the most thorough explanation. Please help. If you do, thanks for helping! Use the picture below for question.
Answer:
0.09
Step-by-step explanation:
So if you use the Simple interest equation it will begin with:
Interest total = Initial Amount of money x Interest rate per year x Years money is invested for.
Then substitute the values you have been given so:
$6300 = 7000 x Interest rate per year x 10.
This is simplifies to 6300 = 70,000 x Annual Interest rate
You can rearrange this to find the annual interest rate by dividing by 70,000:
[tex]\frac{6300}{70000} = Interest\ rate[/tex]
Simplifying this would be:
[tex]\frac{63}{700}\\[/tex] = Interest rate.
The interest rate is 0.09.
p2 — 6р + n
I can’t find the anywhere can someone help?
I need help ;-; .......
Answer:
A & B
Step-by-step explanation:
the rest are incorrect because sinx = 8/15 and cscx = 15/8
Simplify the expression
Answer:
[tex]\frac{2}{cos(x)}[/tex]
Step-by-step explanation:
Key facts you will need to know to solve this
[tex]tan(x) = \frac{sin(x)}{cos(x)}[/tex]
[tex]sin^2 + cos^2 = 1[/tex] so [tex]1-sin^2= cos^2[/tex]
The equation can also simplify by cross multiplying the fraction to make:
[tex]\frac{cosx-sincosx}{(1+sinx)(1-sinx)} + \frac{cosx+sincosx}{(1-sinx)(1+sinx)}[/tex]
[tex]\frac{cosx-sincosx}{1-sin^2(x)} + \frac{cosx+sincosx}{1-sin^2(x)}[/tex] = [tex]\frac{2cos(x)}{1-sin^2(x)}[/tex]
Using the equation [tex]1-sin^2= cos^2[/tex] that we established earlier, the fraction is also:
[tex]\frac{2cos(x)}{cos^2(x)}[/tex] = [tex]\frac{2}{cos(x)}[/tex]
Therefore, the answer is [tex]\frac{2}{cos(x)}[/tex]
Steven is walking around the perimeter of a circular swimming pool
that has a diameter of 20 feet. Which of the following is closest to the
distance Steven walks if he walks once around the pool?
Answer:
62.83
Step-by-step explanation:
Circumference=2 pi r
diameter=20
20*pi= about 62.83
so it sould be around 62.83
Find the moment of inertia about the y-axis of the thin semicirular region of constant density
The moment of inertia about the y-axis of the thin semicircular region of constant density is given below.
[tex]\rm I_y = \dfrac{1}{8} \times \pi r^4[/tex]
What is rotational inertia?Any item that can be turned has rotational inertia as a quality. It's a scalar value that indicates how complex it is to adjust an object's rotational velocity around a certain axis.
Then the moment of inertia about the y-axis of the thin semicircular region of constant density will be
[tex]\rm I_x = \int y^2 dA\\\\I_y = \int x^2 dA[/tex]
x = r cos θ
y = r sin θ
dA = r dr dθ
Then the moment of inertia about the x-axis will be
[tex]\rm I_x = \int _0^r \int _0^{\pi} (r\sin \theta )^2 \ r \ dr \ d\theta\\\\\rm I_x = \int _0^r \int _0^{\pi} r^3 \sin ^2\theta \ dr \ d\theta[/tex]
On integration, we have
[tex]\rm I_x = \dfrac{1}{8} \times \pi r^4[/tex]
Then the moment of inertia about the y-axis will be
[tex]\rm I_y = \int _0^r \int _0^{\pi} (r\cos\theta )^2 \ r \ dr \ d\theta\\\\\rm I_y = \int _0^r \int _0^{\pi} r^3 \cos ^2\theta \ dr \ d\theta[/tex]
On integration, we have
[tex]\rm I_y = \dfrac{1}{8} \times \pi r^4[/tex]
Then the moment of inertia about O will be
[tex]\rm I_o = I_x + I_y\\\\I_o = \dfrac{1}{8} \times \pi r^4 + \dfrac{1}{8} \times \pi r^4\\\\I_o = \dfrac{1}{4} \times \pi r^4[/tex]
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The difference between two numbers is 10 and their sum is 24. Find the numbers.
Answer: y is 7 and x is 17
Step-by-step explanation:
x is the bigger numbr
y is the smol numbr
x + y = 24
x - y = 10
x = 17
y = 7
Please help. Will give 20 points .Use the rectangle to find the lengths of the following sides if AC=26 and BC=10
Answer:
Step-by-step explanation:
Answer:
BC = 18.385
Step-by-step explanation:
You can look at ABC as a right triangle and use the Pythagorean theorem to solve for BC. 26 squared is 676, 676 divided by 2 is 338, and finally the square root of 338 is 18.385. This is the length of BC and AB as well. Hope that helped
Rodrigo works at a flower shop. He recorded how many flowers each customer purchased
yesterday. This box plot shows the results.
Flowers purchased
++
2
6
8
10
12
What percent of the customers purchased fewer than 6 flowers?
%
Answer:
50
Step-by-step explanation:
I have none I got it wrong lol
Isaac and his workout partner are lifting weights together, doing many sets of each exercise. On a certain exercise, Isaac is using a 5-kilogram bar, increasing the amount of weight he lifts by 5 kilograms on each set. His partner, meanwhile, started out using a 7-kilogram bar and is upping the weight by adding 3 kilograms on every set. Eventually, Isaac and his workout partner will be lifting the same amount, and will take turns using the same barbell. How much weight will they be lifting then? How many sets will they have completed?
The weight Isaac and his workout partner lifting when they both lifting the same amount, after the 1 set and the weight they be lighting is 10 kg.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.
Isaac and his workout partner are lifting weights together, doing many sets of each exercise.
Isaac is using 5-kg bar, and increasing the amount of weight he lifts by 5 kg on each set. The weight he lifts after x set is,
5+5x
His partner, started out using a 7-kg bar and is upping the weight by adding 3 kg on every set. The weight his partner lift after x set is,
7+3x
Let after x sets, the weight lifted by both will be same. Thus,
[tex]5+5x=7+3x\\5x-3x=7-5\\2x=2\\x=\dfrac{2}{2}\\x=1[/tex]
Thus, the weight Isaac and his workout partner lifting when they both lifting the same amount, after the 1 set and the weight they be lighting is 10 kg.
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which of the following choices are equivalent to the expression below? check all that apply
x^3 /5
The choices are equivalent to the expression correct choices are A, C, and D.
The given expression is
x^3 /5
What is the expression?
The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.
What is the power rule?
[tex]a^{\frac{m}{n} =\sqrt[n]{a^m}[/tex]
Therefore the above power rule implies that,
[tex]x^{(\frac{3}{5}) }=\sqrt[5]{x^3}[/tex]
Also, we have the power rule
[tex](a^m)}^n=a^{mn}[/tex]
[tex]x^{\frac{3}5} =(x^3)^{\frac{1}{5}[/tex]
or it can be written as
[tex]x^{\frac{3}{5} =(\sqrt[5]{x})^3[/tex]
The correct choices are A, C, D.
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A baker has 41.6 pounds of flour in a large bag. She wants to divide the flour into equal portions that weigh 2.6 pounds each. How many portions can the baker make from the original amount of flour?
41.6/2.6 = 16
therefore into 16 parts
hope it helps...!!!
The radius of a circle is 18.5 m. Find the circumference to the nearest tenth
Answer:
116.2
Step-by-step explanation:
The circumference formula is C= 2 (pi)r
Plugin our number
C=2(pi )18.5
Then mulitply and we get the product
116.24
round to the nearest tenth
116.24
The circumference of the circle to the nearest tenth is approximately 116.1 meters.
What is circumference?Circumference refers to the distance around the edge or boundary of a circular object or shape. It is the measurement of the total length of the circle.
The formula for the circumference of a circle is given by:
C = 2πr
where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.
Substituting the given value of the radius into the formula, we get:
C = 2π(18.5)
= 37π
≈ 116.1
Therefore, the circumference of the circle to the nearest tenth is approximately 116.1 meters.
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A cone has a slant length of 5 and a diameter of 4. what is the volume of the cone? use π ≈ 3.14. 12.56 cubic units 18.84 cubic units 20.93 cubic units 25.12 cubic units
The volume of the cone with the given parameters is calculated as approximately: 19.17 cubic units.
How to Find the Volume of a Cone?Volume = 1/3πr²h
Given the following:
Diameter = 4 unitsRadius (r) = diameter/2 = 4/2 = 2 unitsSlant height (l) = 5 unitsHeight (h) = √(5² - 2²) = 4.58 unitsVolume of the cone = 1/3π(2²)(4.58)
Volume of the cone = 19.17 cubic units.
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Answer:
12.56 edge
Step-by-step explanation:
Explain what it means when a number pattern has a constant ratio. Write the first four terms of any number pattern that has a constant ratio.
Answer:
B
Step-by-step explanation:
On his last four tests, Danilo scored 55%, 78%, 84%, and 93%. What score should he get on the next test so that his average on all five tests is 80%?
82.5%
80%
90%
92.5%
Answer:
Do you have weight
Step-by-step explanation:
Are these tests weight the same or different?