Answer:
width is 30, and the length 69.
Step-by-step explanation:
In order to do this, we need to do ALGOOBRAA
lets say x is equal to the width of the room
then, that means the length is (9+2x) Sooooo,
198=2x+2(9+2x)
Using the distributive property, we know that
2(9+2x)=18+4x
If you dont know what that is, then go search it up :/
so,
198=2x+18+4x
198=6x+18
180=6x
30=x
BAM
Now, we know that the width is 30, bro.
That means the length is 60+9, Which is 69.
Therefore, the width is 30, and the length 69.
Sry if im wrong btw.
The width of rectangle is 30, and the length is 69.
What is Rectangle?
A rectangle is a quadrilateral. The opposite sides of a rectangle are equal and parallel to each other. The interior angle of a rectangle at each vertex is 90°. The sum of all interior angles is 360°. The diagonals bisect each other.
Here, lets say x is equal to the width of the room
then, that means the length is (9+2x) So,
198 = 2x+2(9+2x)
Using the distributive property, we know that
2(9+2x)=18+4x
If you don't know what that is, then go search it up :/
so,
198 = 2x+18+4x
198=6x+18
180=6x
30=x
Now, we know that the width is 30,
That means the length is 60+9, Which is 69.
Thus, the width of rectangle is 30, and the length is 69.
Learn more about Rectangle from:
https://brainly.com/question/15019502
#SPJ1
6. Find the surface area of the cylinder pictured. Use 3.14 for pi.
6 m
8m
A: 904.3 square meters
B: 527.5 square meters
C: 301.4 square meters
D. 226.1 square meters
Answer:
given - a cylinderheight = 8m
radius = 6m
To find - surface area Solution -Surface area of the cylinder = 2 Pie r h
= 2* 3.14 * 6 * 8
= 6.28 * 48
= 301.4 sq meters
Sketch 0 = 11π/6 in standard position
Answer:
cuantos billetes de 100.son en .100000?
solve for x -
[tex]\bold{x {}^{2} + 5x + 6 = 0}[/tex]
ty! ~
[tex] {x}^{2} + 5x + 6 = 0 \\ \\ {x}^{2} + 2x + 3x + 6 = 0 \\ \\ x(x + 2) + 3(x + 2) = 0 \\ \\ (x + 2)(x + 3) = 0 \\ \\ x + 2 = 0 \\ \\ x = - 2 \\ \\ x + 3 = 0 \\ \\ x = - 3.[/tex]
The value of x = -2 and -3 .
Answer:
hope it helps...
it has both co ordinate and factorization
Evaluate the function f(r) = √r + 1 - 1 at the given values of the independent variable and simplify.
a. f(-1) b. f(24) c. f(x-1)
Step-by-step explanation:
I'm going to assume you meant to write [tex]\sqrt{r+1}[/tex] in the equation as +1 - 1 wouldn't make much sense since they would just cancel out.
a. [tex]f(-1) = \sqrt{-1 + 1} - 1\\ f(-1) = \sqrt{0} - 1\\f(-1) = 0-1\\f(-1) = -1[/tex]
b. [tex]f(24) = \sqrt{24 + 1} - 1\\ f(24) = \sqrt{25} - 1\\f(24) = 5 - 1\\f(24) = 4[/tex]
c. [tex]f(x-1) = \sqrt{(x-1)+1} -1\\f(x-1) = \sqrt{x} - 1[/tex]
Need number 8 please!!
Using translation concepts, the graph of function g(x) = f(x) - 2 = x² - 2 is given at the end of the question.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are given as follows:
f(x) = x².g(x) = f(x) - 2 = x² - 2.Which means that g(x) is a shift down of 2 units of f(x), as given by the graph in the end of the question.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
what is the domain of the function f(x)=x-9/x+8? Write your answer in interval notation.
Answer: [tex](-\infty, -8) \cup (-8, \infty)[/tex]
Step-by-step explanation:
I'm assuming you meant [tex]f(x)=\frac{x-9}{x+8}[/tex]
For this function, we need to make sure the denominator is not equal to 0, because if it was, then the fraction would be undefined.
Thus, [tex]x+8 \neq 0 \longrightarrow x \neq -8[/tex]
In interval notation, this is [tex](-\infty, -8) \cup (-8, \infty)[/tex]
6(2x²-5) = [?]
x = -3
Answer:
78
Step-by-step explanation:
plug in -3 as x
6(2(-3)^2-5)
6(2(9)-5)
6(18-5)
6(13)
78
Find the length of AB.
OA. 89 units
OB. About 3.6 units
OC. 13 units
O D. About 9.4 units
Applying the distance formula, the length of AB is: D. About 9.4 units.
What is the Distance Formula?Distance formula is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the following:
A(4, 2) = (x1, y1)
B(9, 10) = (x2, y2)
Apply the distance formula
AB = √[(9−4)² + (10−2)²]
AB = √[(5)² + (8)²]
AB = √89
AB ≈ 9.4 units
Learn more about the distance formula on:
https://brainly.com/question/661229
#SPJ1
Find the measure of line segment DE
[tex]DE=\sqrt{13^{2}+12^{2}-2(13)(12)(\cos 59^{\circ})} \approx \boxed{12.3}[/tex]
Piece Wise function Math...help!
The Function models Jay's total monthly salary s(x) in dollars would be s(x) = 0.03s - 1060.
What is a function?A function is a type of relation, or rule, that maps one input to a specific single output.
Given
Base salary = $2500 per month
Commision = 3% on Sales over 48000
Determine the function s(x) for sales over $48000
Let's Represent the total sales in a month with s.
So, the function s(x) is:
s(x) = Base Amount + Commission x Sales over $48000
s(x) = 2500 + 3% (s - 48000)
s(x) = 2500 + 0.03(s - 48000)
s(x) = 2500 + 0.03s - 1440
s(x) = 0.03s - 1060
Hence, the Function models Jay's total monthly salary s(x) in dollars would be s(x) = 0.03s - 1060.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ1
The exterior angles of a triangle are (2x+10),(3x+15)and (4x+20). What is the value of x and what is the largest interior angle of the triangle?
Answer:
x = 35 and 100°
Step-by-step explanation:
the sum of the exterior angles of a triangle = 360° , then
2x + 10 + 3x + 15 + 4x + 20 = 360 , that is
9x + 45 = 360 ( subtract 45 from both sides )
9x = 315 ( divide both sides by 9 )
x = 35
then each exterior angle is
2x + 10 = 2(35) + 10 = 70 + 10 = 80°
3x + 15 = 3(35) + 15 = 105 + 15 = 120°
4x + 20 = 4(35) + 20 = 140 + 20 = 160°
the sum of an exterior angle and corresponding interior angle = 180°
then
180° - 80° = 100°
180° - 120° = 60°
180° - 160° = 20°
the largest interior angle of the triangle is 100°
Answer:
x = 35
largest interior angle = 100°
Step-by-step explanation:
The exterior angles of a triangle sum to 360°
⇒ (2x + 10) + (3x + 15) + (4x + 20) = 360
⇒ 2x + 10 + 3x + 15 + 4x + 20 = 360
⇒ 9x + 45 = 360
⇒ 9x = 315
⇒ x = 35
Therefore, the three exterior angles are:
(2x + 10) = 2(35) + 10 = 80°(3x + 15) = 3(35) + 15 = 120°(4x + 20) = 4(35) + 20 = 160°If the side of a triangle is extended, the angle formed outside the triangle is the exterior angle. As angles on a straight line sum to 180°:
⇒ interior angle + exterior = 180°
So the largest interior angle will be the supplementary angle to the smallest exterior angle.
The smallest exterior angle is 80°, so:
⇒ largest interior angle + 80° = 180°
⇒ largest interior angle = 180° - 80°
⇒ largest interior angle = 100°
HELP PLEASE!!!!!! AND TYYY
Answer:
17cm Squared
Step-by-step explanation:
Get the area of the whole triangle, then the area of the white part. Then subtract the white from the whole area
The temperature of a chemical reaction ranges between -10 degrees Celcius and 50 degrees Celcius. The temperature is at its lowest point when t=0, and the reaction completes 1 cycle during a 6 hour period. What is a cosine function that models this reaction?
Answer:
The cosine function is f(t) = -30sin(π÷3)t + 20
Step-by-step explanation:
Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.
To find : What is a cosine function that models this reaction?
General form of cosine function is f(x) = A cos(Bx)+C
Where A is the amplitude
B=2π÷Period
C is the midline
Now, We have given
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.
A is the average of temperature,
i.e,
A=(-10-50)÷2 = -30
Period of 1 cycle is 6 hour
So,
B = 2π÷6 = π÷3
The temperature is at its lowest point when t = 0 and we know lowest point is -10
So,
f(t) = A cos t + C
-10 = -30 cos 0 + C
Therefore, C = 20
Substituting the values, we get
The cosine function is f(t) = -30sin(π÷3)t + 20
Read more at:
https://brainly.com/question/4411386
#SPJ10
6z + 10= -2 solve this problem
Answer:
z = -2
Step-by-step explanation:
Answer:
[tex]\boxed{\bf z = - 2}[/tex]
Step-by-step explanation:
[tex]\bf 6z + 10 = - 2[/tex]
Subtract 10 from both sides.
[tex]\bf 6z + 10 - 10= - 2 - 10[/tex]Simplify.
[tex]\bf 6z = - 12[/tex]Divide both sides by 6.
[tex]\bf \cfrac{6z}{6} = \cfrac{ - 12}{6} [/tex]Simplify.
[tex]\bf z = - 2[/tex]_________________________
Someone please help me!
…….
Half of the chimpanzees in a zoo weigh less than 45 kg.
of the chimpanzees weigh less than 55 kg.
No chimpanzees weigh exactly 45 kg.
What fraction of the chimpanzees weigh between 45 kg and 55 kg?
Answer:
[tex] \frac{45}{55} = \frac{3}{11} [/tex]
Step-by-step explanation:
I think that is the right answer
Using a graphing calculator (or Desmos), graph the equation y = (x - 5)² + 2, describe the transformation.
Answer:
the graph has a parent function of f(x) = x²
The (x - 5)² tells us that the graph is shifted to the right 5 units.
The +2 tells us that the graph is shifted up 2 units.
Find g(32) for g(x) = x+4−−−−√.
A. 3
B. 5
C. 6
D. 10
Answer:
6
Step-by-step explanation:
I presume you meant
[tex]g(x) = \sqrt{x + 32} \\ g(32) = \sqrt{32 + 4} \\ g(32) = \sqrt{36} \\ g(32) = 6[/tex]
I will give BRAINLIEST! ANSWER QUESTION! I NEED IT ASAP
Out of a sample of 500 high school students, 376 said they would prefer to have computers in every classroom. Construct a 95% confidence interval for the population mean of high school students who would prefer to have computers in every classroom.
CI = (71.41%, 78.99%)
CI = (71.98%, 79.45%)
CI = (70.23%, 80.17%)
CI = (72.02%, 78.38%)
Answer:
CI = (71.41%, 78.99%)
Step-by-step explanation:
[tex] \frac{376}{500} - 1.96 \sqrt{ \frac{ (\frac{376}{500} )( \frac{124}{500} )}{500} } = 71.415\%[/tex]
[tex] \frac{376}{500} + 1.96 \sqrt{ \frac{ (\frac{376}{500} )( \frac{124}{500}) }{500} } = 78.985\%[/tex]
If 500 high school students, 376 said they would prefer to have computers in every classroom then the confidence interval at 95% is (71.41%,78.99%) Since option (a) is correct.
Given x= 376, n = 500
The (71.41%,78.99%)
[tex]\hat{p}=\frac{x}{n}\\ =\frac{376}{500} \\=0.752[/tex]
Critical values
Using the z-table the z-critical value at the given significance level at α=0.05 is,[tex]z_{a/2} =1.96[/tex]
Construct a 95% confidence interval
That is,
[tex]\hat{p}= z_{a/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
[tex]=0.752\pm 1.96\sqrt{\frac{0.752(1-0.752)}{500} }[/tex]
[tex]=0.752\pm 0.0379[/tex]
= (71.41%,78.99%)
Learn more about confidence intervals here: https://brainly.com/question/15712887
#SPJ10
The crime rate of a certain city is increasing by exactly 4% each year. If there were 350
crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2023.
Answer:
1277
Step-by-step explanation:
350 * (1.04)^33 =
1276.93338385
algebracom
theo(12211)
Georgina likes to read during her summer break. The table below shows the number of pages in each book she read last summer and the number of pages in each book she read this summer.
Number of Pages Georgina Reads during the Summer
Last Summer
140
220
190
180
190
This Summer
150
170
150
190
180
What inference can someone draw about the data?
The books she read this summer had more pages, on average, than last summer.
The number of pages in each book varied more last summer than this summer.
Last summer, the average book had nearly twice the number of pages than the average book has this summer.
This summer, the number of pages in a book varied nearly twice as much as the number of pages in last summer's books
The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is B.
What is a standard deviation?The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
For the last summer,
Mean = (140 + 220 + 190 + 180 + 190) / 5 = 920/5 = 184
[tex]\sigma={\sqrt {\dfrac{(140-184)^2+ (220-184)^2+(190-184)^2+(180-184)^2+(190-184)^2}{5}}}\\\\\sigma = 25.7682[/tex]
For this summer,
Mean = (150 + 170 + 150 + 190 + 180) / 5 = 840/5 = 168
[tex]\sigma={\sqrt {\dfrac{(150-168)^2+ (170-168)^2+(150-168)^2+(190-168)^2+(180-168)^2}{5}}}\\\\\sigma = 16[/tex]
Hence, The number of pages in each book varied more last summer than this summer. Thus, the correct option is B.
Learn more about Standard Deviation:
https://brainly.com/question/16555520
#SPJ1
Please help me!!! I will give brainliest to the correct answer.
Given:
EA = 2EC = 3EB = EA + AB = 2 + 10 = 12ED = EC + CD = 3 + yFormula:
AB × AD = AC × AE
Here if applied:
EA × EB = EC × ED
2 × 12 = 3 × (3 + y)
24 = 9 + 3y
3y = 15
y = 5
Answer:
y = 5
Step-by-step explanation:
Secant: a straight line that intersects a circle at two points.
Segment: part of a line that connects two points.
The given diagram shows two secant segments EB and ED drawn to the circle from one exterior point E. Therefore, using the Intersecting Secants Theorem, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
⇒ EB · EA = ED · EC
⇒ (2 + 10) · 2 = (3 + y) · 3
⇒ (12)2 = 3(3 + y)
⇒ 24 = 9 + 3y
⇒ 15 = 3y
⇒ y = 5
Adriana can ride her bicycle
6 miles in one hour. How long will it
take her to ride 15 miles?
Given a regular 26 sided polygon, complete the following statements.
Answers:
Sum of the interior angles = 4320One interior angle = 166.15=======================================================
Work Shown:
n = number of sides = 26
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
S = 180(26-2)
S = 180(24)
S = 4320 degrees is the sum of the interior angles.
i = measure of one interior angle of a regular polygon
i = S/n
i = 4320/26
i = 166.1538 approximately
i = 166.15 degrees is the approximate measure of each interior angle.
Side note: The formula to determine the interior angle i only works for regular polygons. This is because each angle is the same measure.
Need help with this! Brainliest to who answers.
Answer: K
Step-by-step explanation:
The subtraction with the negatives can cancel out, resulting in a possible positive answer.
Answer:
k
Step-by-step explanation:
K you CAN get a positive number....
example :
-3 - (-5) = -3 + 5 = + 2
Find the y-intercept.
(2x + 1)(x + 7).
(x + 3)(x + 4)
y =
([?],
all three would be pretty nice
Answer:
(0, 7/12)
Step-by-step explanation:
to find the y intercept we equate x to 0.
hence,
f(0) = 7/12
the coordinate is (0, 7/12)
Answer:
[tex](0,\frac{7}{12})[/tex]
Step-by-step explanation:
In order to find the y-intercept of an equation, simply plug in 0 for x, as that's where the y-axis is.
[tex]\frac{(2(0)+1)(0+7)}{((0)+3)((0)+4)}[/tex]
Simplify:
[tex]\frac{7}{(3)(4)}=\frac{7}{14}[/tex]
Therefore, the y-intercept for the equation is:
[tex]\frac{7}{14}[/tex]
5. Find the quadratic equation with root alpha and beta,given that alpha-beta=2 and alpha^2-beta^2=3.
Answer:
[tex]x^{2}-\frac{3}{2} x-\frac{7}{16} =0[/tex]
Step-by-step explanation:
[tex]\begin{cases}\alpha -\beta =2\\ \alpha^{2} -\beta^{2} =3\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}\alpha -\beta =2&\\ \left( \alpha +\beta \right) \left( \alpha -\beta \right) =3&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}\alpha -\beta =2&\\ \alpha +\beta =\frac{3}{2} &\end{cases}[/tex]
Then
2α = 2 + 3/2 = 7/2
2β = (3/2) - 2 = -1/2
Then
Then
α = 7/4
β = -1/4
Then
a quadratic equation with root α and β can be :
[tex]\left( x+\frac{1}{4} \right) \left( x-\frac{7}{4} \right) =0[/tex]
[tex]\Longrightarrow x^{2}-\frac{3}{2} x-\frac{7}{16} =0[/tex]
Barbara buys a box of pens for $4. For every additional box she buys, she gets a $1 discount. Which expression represents the total cost of the -
pens, c, as a function of the number of boxes, b?
Answer:
Step-by-step explanation:
In the standard Normal distribution, 43% of observations lie below which z-score?
Find the z-table here.
–1.08
–0.18
0.18
1.08
Picture posted below
The answer is -0.18
when you convert 43% to decimal, it is 0.43
And the z-score of 0.43 is closest to -0.18
Hope it helps!
A polynomial-function has −5+√3 as a root. Which of the following must also be a root of the function?
O-5-√√3
0 -5+√√√31
05-√√√31
0 5+√√31
Answer:
First option.
Step-by-step explanation:
4x^2+2xy-10y^2+9=0 what is the value of a,b,c and the discriminant?
basically you treat y like a number and not a variable
Answer:
a is 4
b is 2y
c is -10y²+9
discriminant is 4(41y²-36)
Step-by-step explanation:
4x²+2xy-10y²+9=0
rewrite in standard form of a quadratic equation like ax² + bx + c = 0
4x²+2yx-10y²+9=0
basically you treat y like a number and not a variable
a is the number with the x²
right away we know a is 4 because of 4x²
b is the one with x so in this formula b is 2y
c is the number without the x which in this case is -10y²+9
discriminant is
b² - 4ac
(2y)²- (4)(4)(-10y²+9)
4y²-(16)(-10y²+9)
4y²-(16)(-10y²+9)
4y²+160y²-144
164y²-144 =
4(41y²-36)