\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)
Area of circle :
\(\qquad \sf \dashrightarrow \:\pi r {}^{2} \)
\(\qquad \sf \dashrightarrow \: \pi\times (3.5) {}^{2} \)
\(\qquad \sf \dashrightarrow \:12.25 \: \pi\)
\(\qquad \sf \dashrightarrow \:38.465 \: \: unit {}^{2} \)
Answer:
38.465 units²
Step-by-step explanation:
The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.
Substituting the radius in the formula:
⇒ πr²
⇒ π(3.5)² [Radius (r) = 3.5 units]
Evaluating the area:
⇒ π x 12.25
⇒ 3.14 x 12.25
⇒ 38.465 units²
number 27 please.. i can not figure it out.
Answer: x=-12
Step-by-step explanation:
To solve for x, you want to use algebraic properties to isolate x.
\(\frac{x}{4}=2+\frac{x-3}{3}\) [subtract both sides by \(\frac{x-3}{3}\)]
\(\frac{x}{4}-\frac{x-3}{3}=2\) [get common denominator]
\(\frac{3x}{12} -\frac{4x-12}{12} =2\) [subtract]
\(\frac{-x+12}{12} =2\) [multiply both sides by 12]
\(-x+12=24\) [subtract both sides by 12]
\(-x=12\) [divide both sides by -1]
\(x=-12\)
Now, we know that x=-12.
What is the y-intercept of x + 4y = 7 ?
Given the following equation of the line:
\(x+4y=7\)We will find the value of the y-intercept
The y-intercept is the value of (y) when x = 0
so, substitute with x = 0, then solve for y
\(\begin{gathered} 0+4y=7 \\ 4y=7 \\ y=\frac{7}{4} \end{gathered}\)so, the answer will be:
The y-intercept = 7/4
And the point of the y-intercept = (0, 7/4)
Find the area of the rectangle if the length is (x-2) inches and the width is (3x+1) inches shown in the picture PLEASE HURRY!!!!!!
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
Read more on solution and equation here: brainly.com/question/25858757
#SPJ1
pleasee i need help with this
here is the question
The surface area S of the balloon as it relates to time is S(t) = 2.56πt⁶.
What is a function?A function can be defined as the rule which assigns the values of one set to another set.
Given that the surface area of a hot-air balloon is given by the function,
S(r)= 4πR², where r is the radius of the balloon in meters.
Also, the radius r is increasing with time t (in seconds) by the function,
R(t) = (4/5)t³,
The surface area S of the balloon as it relates to time is,
\(S(t) = 4\pi \times (\dfrac45t^3)^2\\\\S(t) = 4\pi \times (\dfrac{4^2}{5^2}) \times t^6\\\\S(t) = \dfrac{64 \pi t^6}{25}\)
S(t) = 2.56πt⁶
Hence, the function is S(t) = 2.56πt⁶.
Learn more about Functions here:
https://brainly.com/question/21145944
#SPJ1
Rocky needs at least 532 to buy an amplifying speaker. He already has $17. Which graph best represents all the possible dollar amounts that Rocky can save to buy an amplifying speaker?
Hello!
Answer:
Graph number three
Hope this helps!
i need help now please
Answer: 8 sq units
Step-by-step explanation:
4 sq units in middle, two triangles on sides are half of four, add two triangles to make whole 4
Do you know the tricks to multiplying variables?
Answer:
yes I know how to to multiple variables.
If a=-9 and b= -4, what is the value of a + b?
0-5
5
-13
13
Answer:
The answer is -13.
Step-by-step explanation:
-9 + -4 = -13
The area of a circle is 113.04 square miles. What is the circle's radius?
Use 3.14 for л.
Submit
miles
Answer: 6 miles exactly
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
A=πr^2
113.04=3.14×r^2
113.04/3.14=r^2
36=r^2
√36=r
r=6
Please answer these questions.
1. Simplify - (—10)
2. Simply- (—9)
I will mark Brainliest Answer for anyone who helps.
Answer:
if the - after simplify is involved it would be 10, 9 and if it's not it's -9, -10.
Questions and answers involved
Answer:
So what are the questions?
Step-by-step explanation:
a 8. The plans of a house are drawn to a scale of 1:50. (a) Find the actual length, in metres, represented by 14 cm on the plan. (b) What length, in centimetres, on the plan represents an actual length of 11 metres? [N/85/P1]
Answer:
a) 7 m
b) 22 cm
Step-by-step explanation:
Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.
ProportionThe actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.
plan : actual = 1 cm : 50 cm
= 1 cm : 0.5 m
= 2 cm : 1 m
a) 14 cmMultiplying the scale by 7, we have ...
2 cm : 1 m = 14 cm : 7 m
The actual length is 7 meters.
b) 11 mMultiplying the scale by 11, we have ...
2 cm : 1 m = 22 cm : 11 m
The plan length is 22 cm.
F(x)=1/7x+5 what is the value
Answer:
2.1
Step-by-step explanation:
3wjhshbz zsz
Kim had 2 1/3 pounds of candy. Eric eats 2/5 of Kims candy. How much candy did Eric eat?
The quantity of candy that Eric ate would be = 14/15
How to calculate the quantity of candy eaten by Eric?The quantity of Candy Kim had = 2⅓ pounds.
The quantity of Kims candy that Eric ate = 2/5
That is 2/5 of 2⅓.
The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15
Learn more about fraction here:
https://brainly.com/question/28699958
#SPJ1
Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. Stocks pay 6.7 % interest, bonds pay 2.5 % interest, and CDs pay 5.75 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 6977.5 , how much was invested in each account?
Maricopa Success invested $ in stocks.
Maricopa Success invested $ in bonds.
Maricopa Success invested $ in CDs.
Answer:
stocks: $45000bonds: $55000CDs: $45000Step-by-step explanation:
You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.
SetupWe can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...
s + b + c = 145000b - c = 100000.067s +0.025b +0.0575c = 6977.50SolutionThese equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.
We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...
stocks: $45000bonds: $55000CDs: $45000__
Additional comment
Using b = c +10000, the two remaining equations are ...
s +2c = 1350000.067s +0.0825c = 6727.50<95141404393>
Drag the tiles to the correct boxes. Not all tiles will be used.
What are the domain and the range of function f?
f(x) = x - 6 / x^2 - 3x - 18
range ---> ??
domain ---> ??
The Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞) and Range: (-∞, 0) ∪ (0, ∞).
What is domain?
The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.
According to question:
In this case, the denominator of the function is a quadratic expression, and we know that dividing by zero is undefined. Therefore, we need to find the values of x that make the denominator equal to zero, and exclude those values from the domain.
To find the values that make the denominator equal to zero, we can factor it as follows:
x² - 3x - 18 = 0
(x - 6)(x + 3) = 0
So, the denominator is equal to zero when x = 6 or x = -3. Therefore, the domain of the function is all real numbers except x = 6 and x = -3.
Domain: (-∞, -3) ∪ (-3, 6) ∪ (6, ∞)
The range of a function consists of all possible output values of the function, given the domain of the function.
To find the range of this function, we need to analyze the behavior of the function as x approaches positive or negative infinity.
As x approaches positive infinity, both the numerator and denominator of the function approach positive infinity. Therefore, the function approaches zero.
As x approaches negative infinity, both the numerator and denominator of the function approach negative infinity. Therefore, the function approaches zero.
Since the function approaches zero as x approaches positive or negative infinity, we can say that the range of the function is all real numbers except zero.
Range: (-∞, 0) ∪ (0, ∞).
To know more about domain visit:
brainly.com/question/28135761
#SPJ1
What is the value of x in the equation 0.7x – 1.4 = –3.5?
A. –7
B. –3
C. 3
D. 7
Answer:
A
Step-by-step explanation:
Answer:
hy I am happy to help u
It's answer is
o.7x-1.4 =-3.5
0.7 × 7 - 1.4 = 3.5
3.5
so it's answer is 7
Write the following trigonometric expression as an algebraic expression containing u and v. Give the restrictions required on u and v. sin ( cos^-1 u sin^-1 v)
Answer:
\(-1 \le u, v \le 1\) --- restriction
\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)(1 - v^2)} + uv\)
Step-by-step explanation:
Given
\(\sin(\cos^{-1}u + \sin^{-1}v)\)
Required
Write in terms of u and v
Let:
\(a =\cos^{-1}u\)
Take arc cos of both sides
\(\cos a = u\)
Using the following trigonometry identity
\(\sin^2a + \cos^2a = 1\)
So:
\(\sin^2a = 1 -\cos^2a\)
\(\sin^2a = 1 -u^2\)
Take square roots of both sides
\(\sin a = \sqrt{1 -u^2\)
So, we have:
\(\cos a = u\) \(\sin a = \sqrt{1 -u^2\)
Let:
\(b =\cos^{-1}{\sqrt{1 - v^2}}\)
Take arc cos of both sides
\(\cos b = \sqrt{1 - v^2\)
So:
\(\sin^2b = 1 -\cos^2b\)
\(\sin^2b = 1 - (\sqrt{1 - v^2})^2\)
\(\sin^2b = 1 - (1 - v^2)\)
\(\sin^2b = 1 - 1 + v^2\)
\(\sin^2b = v^2\)
Take square roots
\(\sin b = v\)
So, we have:
\(\cos b = \sqrt{1 - v^2\) \(\sin b = v\)
So, we have:
\(\sin(\cos^{-1}u + \sin^{-1}v)\)
\(\sin(\cos^{-1}u + \sin^{-1}v) = \sin(a + b)\)
Apply sine rule
\(\sin(\cos^{-1}u + \sin^{-1}v) = \sin a\ cos b + \sin b \cos a\)
\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{1 - u^2} * \sqrt{1 - v^2} + v *u\)
\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)*(1 - v^2)} + v *u\)
Expand
\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)(1 - v^2)} + uv\)
The restriction on u and v is:
\(-1 \le u, v \le 1\)
graph f(x)=-0.25 + 4
Answer:
4.25 I think but I hoped that helped
Can someone please check my answers?
Answer:
answer is mentioned in the pdf .Your answer is incorrectAnswer:
See attached image and explanation below
Step-by-step explanation:
For the first table:
The cumulative frequency for each class interval is obtained by adding that class frequency to the sum of all frequencies less than that class interval
So the table will look as in the first image attached
The second table talks about cumulative relative frequency and it uses the same technique as above but we are dealing with relative rather than absolute frequencies
The second image shows the correct values
Your relative frequency table (the third image you posted) is correct
Solve the absolute value equation. 4|4x - 3| - 8 = -4
Answer:
x = \(1,\frac{1}{2}\)
Step-by-step explanation:
\(4|4x-3|-8=-4\\\)
Add 8 to both sides;
4|4x - 3| = 4 4|4x - 3| = -4
Divide both sides by 4;
4x - 3 = 1 4x - 3 = -1
Add 3 to both sides;
4x = 4 4x = 2
Divide both sides by 4;
x = 1 x = \(\frac{1}{2}\)
What is the fifth term of the arithmetic sequence? –3, –1, 1, 3,...
Answer:
5
Step-by-step explanation:
+2
Howany inches does a 30 inch diameter tire roll in 1 turn
Answer:
30pi
Step-by-step explanation:
circumference=diameter x pi
c=30pi
so it rolls:
=30π (pi) inches
or
≈94.25 inches
Therefore the tire covers a distance of 94.2 inch in one turn.
A circle is the locus of a point such that its distance from a fixed point is constant.
The tire is circular. To determine the distance covered by the tire in 1 turn, we have to calculate the perimeter of the tire.
Perimeter of tire = π * diameter = π * 30 inch = 94.2 inch
Find out more at: https://brainly.com/question/19008587
Eight Oranges Cost $1.50. How Many Oranges Can you Buy with $5.25.
*****I NEED PARAMETERS PLZPLZPLZ!!!*****
Jan had 1/4 pound of chocolate and shared it among her eight friends. How much
did each person get?
Zach had eight candy bars and gave each friend 1/4 of a candy bar. How many
people did he share with?
2 and 1/4 chocolate and shared it among her eight friends.
24 people did he share with candy bar.
What is meant by chocolate ?
The cacao tree's seeds are extremely bitter and must be fermented in order to produce a flavorful product.The seeds are dried, washed, and roasted after fermentation. The shell is taken off to create cocoa nibs, which are then ground to create cocoa mass, a kind of pure chocolate.Chocolate liquor is the result of boiling the cocoa material to a liquid state.It is also possible to chill the liquor and separate it into the two ingredients cocoa solids and cocoa butter.Baking chocolate, often known as bitter chocolate, is made only of cocoa butter and solids in different ratios.Dutch cocoa can be made by alkalizing powdered baking cocoa, which has more fiber than cocoa butter.To learn more about chocolate refer to
https://brainly.com/question/615542
#SPJ1
What is the range of f(x) = 3* + 9?
O {yly<9}
O {yly>9}
O {yly> 3}
O {yly<3}
On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)
What is range?Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.
The regions where the absolute values are zero are known as the vertex points of an absolute value function.
\(|x + 1| = 0\\x + 1 = 0\\x = -1\)
\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)
To know more about range visit:
https://brainly.com/question/28135761
#SPJ1
What are the domain and range of the function represented by the set of
ordered pairs?
K(-10, -6), (-4, -10), (3, 8), (9, -2)}
Answer:
A
Step-by-step explanation:
Domain is the first number in the ordered pairs and range is the second number. (I'm sorry if it's wrong)
Hope it helps!
Please solve this question.
Answer:
An equilateral triangle is formed.
Step-by-step explanation:
Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.
Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is \((180\textdegree - 60\textdegree - 60\textdegree)\) = \(60\textdegree\).
Therefore, a triangle with all angles at 60° is an equilateral triangle.
Hope this helped!
find the slope and y-intercept.
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1