Answer:
Step-by-step explanation:
Given that:
cos(x) = x³
f(x) = cos (x) - x³
f(x) is continuous on the interval (0, 1)
when;
f(0) = cos (0) - (0)
f(0) = 1 - 0
f(0) = 1 > 0
f(1) = cos (1) - 1³
f(1) = 0.5403 - 1
f(1) = -0.4597
f(1) = - 0.46
f(1) = - 0.46 < 0
Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)
such that f(c) = 0
By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)
b) Given that:
The interval length = 0.01; this implies that it is 0.005 length from its root.
f(0.865) = 0.0014
f(0.87) = - 0.013
The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.
2.
What is the area of a triangle whose vertices are J(-2,1), K(4,3), and L(-2,-5) ?
(7 points)
a. What is the formula for the area of the triangle?
b.
Find the length of the base. Do not round to a decimal.
C.
Find the length of the height. Do not round to a decimal.
d. Find the area of the triangle.
Answer:
Area: T = 18
a. The triangle area using Heron's formula: T= sqrt(s(s−a)(s−b)(s−c) )
b. 2[tex]\sqrt{10}[/tex]
c. h = 5.69
d. T = 18
Step-by-step explanation:
a. T= sqrt(s(s−a)(s−b)(s−c) )
T=sqrt( 11.16(11.16−10)(11.16−6)(11.16−6.32) )
T= sqrt(324 )
T =18
b. We compute the base from coordinates using the Pythagorean theorem
c= sqrt( ((−2−4)^2)+ ((1−3) ^2) )
c= sqrt(40) = 2sqrt(10)
c. Calculate the heights of the triangle from its area
solve this please!!!!!
Marking brainles!!!!
Answer:
C. 4 ft x 6 ft
Step-by-step explanation:
May I have brainliest please? :)
If 0.5cm = 6 inches you can just double the number you have then multiply that by 6
4cm = 48cm which is 1.5748 feet
6cm =
Answer:
D
Step-by-step explanation:
0.5cm - 6ft
1cm=12ft
2cm= 24
3cm= 36
4cm = 48
5cm= 60
6cm = 72
48 divided by 6 is 8
72 divided by 6 is 12
Given the two relations, which one is a function and why is the other one not a function
Answer:
The other one (number2) is not a function, because if you plot those points in a graph and use the line rule it shows that more than one point is aligned in that line.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first one is a function, and the second one is not a function.
Because in a function, each input only match ONE output.
PLEASE HELP ASAP I WILL BRAINLIEST
Answer:
32 minutes and 30 seconds.
Step-by-step explanation:
3 hours = 180 minutes, plus 15 added = 195 so 195 ÷ 6 = 32.5 or 32 mins and 30 seconds
Answer:
32.5 minutes
Step-by-step explanation
60x4-45/6
You are working in a coffee shop that specializes in mixing rare beans to provide customers with the perfect cup of coffee. To make the signature blend, you need to fill the coffee machine with 1 3/4 cups of bean A and 3 1/2 cups of Bean B. How many cups of coffee beans are required for the signature blend?
5 1 /4 cups of coffee beans are required for the signature blend.
Given that,
To make the signature blend, you need to fill the coffee machine with 1 3/4 cups of bean A and 3 1/2 cups of Bean B.
To determine the number of cups of coffee beans required for the signature blend.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
cups of signature blend = cup Bean A + cup Bean B
= 1 3 / 4 + 3 1 / 2
= 7 / 4 + 7 / 2
= [7 * 1 + 7 * 2] / 4
= 21 / 4
= 5.25 or 5 1 /4
Thus, 5 1 /4 cups of coffee beans are required for the signature blend.
Learn more about arithmetic here:
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Find the percent of decrease from 27 to 18.
PLEASE HELP
-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%
Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old| 100%Percent change = 18 - 27|27| x 100 = -927 x 100 = -33.33333333333333decrease)
Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.
The Answer is: -33.33333333333333% or 33.3I have 1373/1000 Points, and 10/10 brainiest. Why am I not leveling up to Expert?
Answer:
some thing is broken man
Step-by-step explanation:
For which inequality is x = 5 a solution
Answer:
x <18
Step-by-step explanation:
The open side of the < always faces the bigger number.
Help ASAP. If this is hard to understand look at the picture I provided. Thanks On which number line do the points represent -52 and +2? (4 points)
R
T
tohoto
HH
-10 8 7 6 5 4 3 2
-1
0 1
2
3
4
5
7
8
9 10
HôtéttH
-1098-7
-3
2
0
1
2
3
4 5 6 7
8 9 10
R
T
Holt
9
8 -7
. 5 4 3
2
.
0
1
2
3
4
5
7
8 9 10
R
T
10 9 8 7 6 5 4 3 2 1
1 2 3 4 5 6 7
8 9 10
Answer:
The last choice
Step-by-step explanation:
So, - 5 1/2 is negative so it's on the left side of 0. 2 is a positive number so it's on the right side of the 0.
The last choice shows one blue dot on -5 1/2 and the other on 2, so it is correct
What is the slope of the line that passes through the points (5,-11) and (-9,17)?
Answer:
-2
Step-by-step explanation:
m=y2-y1
x2-x1
Answer:
-2=slope
Step-by-step explanation:
17--11=28
-9-5= -14
28/-14= -2
Find the slope given for (-2,-5) and (3,-2)
Answer:
The slope is 3/5
Answer:
3/5
Step-by-step explanation:
The slope is given by
m = ( y2-y1)/(x2-x1)
= ( -2 - -5) / ( 3 - -2)
= ( -2+5)/( 3 +2)
= 3/5
Using a Proportion based on similarity,find the length of DE. PLEASE HELP OMG
Answer:
DE is 15
Step-by-step explanation:
22.5 divided by 13.5 = 1.66666 repeating
9 times 1.6666 repeating is 15
Find the height of the object next to the triangle using the similarity of the triangle.
Answer: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Step-by-step explanation:
Help!!! i need to get an A!!!
Answer:
Step-by-step explanation:
Find the solution to the system of the equations shown below: y = -4x + 11
y=1/2x+2
Hello!
[tex]\large\boxed{x = 2}[/tex]
Set the two equations equal to each other to solve:
y = -4x + 11
y = 1/2x + 2
-4x + 11 = 1/2x + 2
Add 4x to both sides:
-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***
11 = 9/2x + 2
Subtract 2 from both sides:
11 - 2 = 9/2x + 2 - 2
9 = 9/2x
Divide both sides by 9/2:
9 * (2/9) = 9/2x * (2/9)
x = 2.
What is the answer to 4^8/4^3 in 4^n form
Answer:
4^5
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{ {4}^{8} }{ {4}^{3} } = {4}^{8} \div {4}^{3} = {4}^{8} \times {4}^{ - 3} = \\ [/tex]
[tex] {4}^{8 - 3} = {4}^{5} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Solve 2x - 3 = 1 *
**giving BRANIEST to FIRST to answer with CORRECT answer **
Answer:
2
Step-by-step explanation:
+3 to both sides then
/2 from both sides
A 10 kg bag of mangoes costs $12.
Find the price per kg of mangoes.
Answer:
1.2
Step-by-step explanation:
Every day, Savannah's burrito stand uses 3 bags of tortillas. How many days will 3/4 of a bag of tortillas last?
Answer:
Step-by-step explanation:
Set up a ratio.
3 bags/1 day = 2/3 bag/x day
Cross multiply to solve.
3x=2/3
So x=2/3(1/3)=2/9 of a day
Given that f(x) = x? 10x + 16 and g(x) = x – 8, find f(x) · g(x) and
express the result in standard form.
Answer:
=x^3+2x^2-72x-64
Step-by-step explanation:
(x^2+10x+8)*(x-8)=
=x^3+2x^2-72x-64
Standard form of given expression is x³ + 2x² - 64x - 128
Given:
f(x) = x² + 10x + 16
g(x) = x – 8
Find:
f(x) · g(x)
Computation:
f(x) · g(x)
(x² + 10x + 16)(x – 8)
(x²)(x) + (10x)(x) + (16)(x) + (x²)(-8) + (10x)(-8) + (16)(-8)
x³ + 10x² + 16x - 8x² - 80x - 128
x³ + 2x² - 64x - 128
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5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were prepared? Explain your answer. * Goodie bag contents ½ of the bags contain money ⅙ of the bags contain candy ⅓ of the bags contain a toy
Answer:
12 bagsStep-by-step explanation:
Number of the bags = between 8 and 15 and
1/2 of bags contain money 1/6 of bags contain candy 1/3 of bags contain a toyAs per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.
The number between 8 and 15 and divisible by 6:
This number is 6*2 = 12So the number of bags is 12
4. In how many ways can a committee of three men and
four women be formed from a group of 12 men and 12
women?
A) 165
B) 6,652,800
C) 15,681,600
D) 108,900
Answer: D 108,900
Step-by-step explanation:
How are y'all doing today?
Answer:
goooooooooooooooooood
Step-by-step explanation:and you?
Answer:
Great!
Step-by-step explanation:
But in the future please only post questions, since this is a homework site.
Narrowing (see also stenosis) artery I77.1. Identify the meaning of the cross reference term indicated in the statement above.
A) The coder is instructed to go to the term stenosis to find a correct code. Mandatory instruction.
B) The coder is instructed to see also stenosis to look for more information if a specific code or subterm cannot be found under the main term Narrowing.
C) Not a mandatory instruction.
D) The coder is instructed to use the I77.1 code if a specific subterm under the main term Narrowing cannot be found.
E) The coder is instructed to use the code I77.1 and then look for an additional code under the term stenosis.
Answer:
C Not a mandatory instruction
Step-by-step explanation:
Write the equation of a line that passes through (-4, 5) and (-4, 11)
Answer:
x=-4
Step-by-step explanation:
Both points are on same line x=-4
The swimming team has 84 members. The number of boys on the team is six more than twice the number of girls. How many boys and girls are on the team?
Answer:
the number of boys and girls on a team is 58 and 26 respectively
Step-by-step explanation:
Given that
Total members in swimming team is 84
Let us assume the number of girls be x
so, the number of boys would be
y = 2x + 6
Now the equation is
x + y = 84
x + 2x + 6 = 84
3x = 78
x = 26
And, y = 2 × 26 + 6
= 52 + 6
= 58
Hence, the number of boys and girls on a team is 58 and 26 respectively
Consider this function. f(x)=2x-2 Which graph represents the inverse of function f?
Answer:
f(x) = x + 2/2 is the inverse
Step-by-step explanation:
Answer:
f(x) = x + 2/2 is the inverse
Step-by-step explanation:
PLEASE HELP
Alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. Calculate the area of the isosceles trapezoid.
140 ft2
160 ft2
180 ft2
200 ft2
Answer:
D.) 200ft²
Step-by-step explanation:
The formula for the area of a trapezoid:
[tex]A=\frac{1}{2} (b_{1}+b_{2})h[/tex]
where:
[tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the basesh is the heightInsert the given values:
[tex]A=\frac{1}{2}(16+24)*10[/tex]
Simplify the equation using PEMDAS. Simplify parentheses:
[tex]A=\frac{1}{2}*40*10[/tex]
Simplify multiplication:
[tex]A=\frac{1}{2}* 400[/tex]
Simplify multiplication. Use the rule [tex]\frac{a}{b}*c=\frac{ac}{b}[/tex] :
[tex]A=\frac{1*400}{2}\\\\A=\frac{400}{2}[/tex]
Simplify division:
[tex]A=200[/tex]
The area is 200ft²
:Done
Pls help me out I give u a cookie
Answer:
C. Division property of equality
Step-by-step explanation:
Both sides of the equal sign are divided by 10, which clearly means that the division property should be applied here.
Answer:
divison property of equality is the reason
hope it helps you