Answer:3
Step-by-step explanation:
Find the area of the shaded region to the nearest tenth
Answer:
B. A = 119.1 in.²
Step-by-step explanation:
A = area of trapezoid - area of circle
A = ½(b1 + b2)h - πr²
A = [½(27 + 12)(14) - 3.14159(7²)] in.²
A = 119.1 in.²
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).
Answer:
[tex]y = 18*4^x[/tex]
Step-by-step explanation:
We want an exponential equation in the following format:
[tex]y = ab^x[/tex]
Point (0,18):
This means that when [tex]x = 0, y = 0[/tex]. So
[tex]y = ab^x[/tex]
[tex]18 = ab^0[/tex]
[tex]a = 18[/tex]
So
[tex]y = 18b^x[/tex]
Point (2,288):
This means that when [tex]x = 2, y = 288[/tex]. So
[tex]y = 18b^x[/tex]
[tex]18b^2 = 288[/tex]
[tex]b^2 = \frac{288}{18}[/tex]
[tex]b^2 = 16[/tex]
[tex]b = 4[/tex].
So
[tex]y = 18*4^x[/tex]
Find the 8th term in the
sequence
-1/2,-1, -2, -4,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term – 1)
Answer:
-64
Step-by-step explanation:
By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:
[tex]t *r^{n-1}[/tex]
where t is the first term and r is the ratio. We can substitute in the information we know:
[tex]-\frac{1}{2} *2^{n-1}[/tex]
We are looking for the eighth term, so we substitute 8 where n is:
[tex]-\frac{1}{2}*2^{8-1}[/tex]
We can simplify:
[tex]-\frac{1}{2}*2^7[/tex]
[tex]-2^6[/tex]
[tex]-64[/tex]
Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs.
Which of the following actions could Sara take to prove her claim? Select two that apply.
A. Place the coordinate pairs in a table and show that they create equivalent ratios.
B. Use the coordinate pairs to show that an equation of the form y = x + c can be written.
C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value.
D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
Answer:
B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
Step-by-step explanation:
Answer:
D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
hope it helps have a nice dayyy
solve the inequality
Answer:
x<3
Step-by-step explanation:
4x-7<5
4x<5+7
4x<12
x<3
Un aserradero adquiere maquinaria y equipo para el corte de madera, que va perdiendo valor conforme transcurren los años, hasta que su valor contable es cero, como indica la gráfica de la función D(x)=(-x^3+2x^2+20x+20)/(x^2+4x+4) que modela esta depreciación en el eje y cada unidad son 20 000 pesos y en el eje x cada unidad es de 3 años.
a) ¿Cuál es el valor inicial del equipo y herramienta? ¿cuánto se ha depreciado al cabo de 12 años?
b) ¿existe un modelo lineal que aproxime los mismos valores que la función D(x)?
c) ¿En cuánto difieren los valores de ambas funciones al cabo de 9 años?
Answer:
-1 5
Step-by-step explanation:
HELP AND I WILL GIVE BRAINLIEST!
What is the value of c such that x^2 - 6x + c is a perfect-square trinomial?
a. 36
b. 9
c. -3
d. 18
Answer:
[tex]x^2 -6x +c \ is \ the \ perfect \ square\\=> x^2 -6x + c = (x -k)^2\\=>x^2 -6x+c = x^2 -2kx + k^2\\Equating \ the \ like \ terms,\\-6x = -2kx\\k = 3\\substituting \ k \ in \ (x-k) = (x-3)\\x^2 -6x +c = (x-3)^2\\\\X^2 - 6x + c = x^2 -6x +9 \\\\=> c = 9[/tex]
opion. b
Answer:
b
Step-by-step explanation:
What is the area of the isosceles triangle shown?
Answer:
672 meters squared
Step-by-step explanation:
Area of Triangle: b*h*1/2
The isosceles triangle's height, splits the base in half.
Answer:
672
Step-by-step explanation:
Area of a triangle = [tex]\frac{bh}{2}[/tex]
where b = base length and h = height
In the triangle shown, we are only given the base length
This means that we must find the height in order to find the area.
We can do this by using the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex]
where a and b = legs and c = hypotenuse
Two right triangles are formed within the isosceles triangle.
Each has a hypotenuse of 50 m, a base length of 28/2=14m ( because they are sharing the base length ) and they are both sharing the height.
So we are given the hypotenuse and a leg and we need to find the other leg
So we plug in what we are given and solve for the missing side length
[tex]50^2=a^2+14^2\\50^2=2500\\14^2=196\\2500=a^2+196[/tex]
step 1 subtract 196 from each side
2500 - 196 = 2304
196 - 196 cancels out
we now have 2304 = a²
step 2 take the square root of each side
[tex]\sqrt{a^2} =a\\\sqrt{2304} =48[/tex]
we're left with a = 48
This means that the height of the isosceles triangle is 48m
Now we can find the area.
Using the formula stated previous....
[tex]A=\frac{28*48}{2} \\28*48=1344\\\frac{1344}{2} =672[/tex]
Hence, the area is 672m²
What is the volume of the cylinder below?
Use 3.14 for pi.
Answer:
V = 502.4 cm³
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
r = 4 cm
h = 10 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(4 cm)²(10 cm)Evaluate exponents: V = (3.14)(16 cm²)(10 cm)Multiply: V = (50.24 cm²)(10 cm)Multiply: V = 502.4 cm³NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at math.
Calculate the slope of the lines using the rise/run formula.
Answer:
1. 3/4 2. -1/3
Step-by-step explanation:
#1:
Given rise/run, the rise is 3, and the run, is 4, so... 3/4
#2:
Given rise/run, the rise is 2, and the run is 6, so... you get 2/6 = 1/3. However, don't forget that the slope is negative, so it'll be -1/3.
Answer:
3. 3/4
4. -1/3
Step-by-step explanation:
Since the rise and run formula is slope = (y1-y2)/(x1-x2),
3. (2 - (-1) ) / (2- (-2) ) = 3/4
4. (-1- (-3) ) / (-2 - (-4) ) = -2/6 = -1/3
The ages of customers in a shoe store at exactly two in the afternoon are shown in the stem and leaf plot below. Customers' Ages How many customers are under the age of 40? A. 15 B. 16 C. 10 D. 3
Answer:
A
Step-by-step explanation:
7
A chord of a circle is 18 cm long. It is
6.3 cm from the centre of the circle
Calculate the radius of the circle to the
nearest whole number. step by step show the calculation
Answer:
11 cm
Step-by-step explanation:
r² = 9² + 6.3²
r² = 120.69
r = 10.9859000542
Rounded
r = 11 cm
Answer:
[tex]\rm 10.9 cm [/tex]
Step-by-step explanation:
Given that :-
A chord of a circle is 18 cm long. It is 6.3 cm from the centre of the circle.And we need to find out the radius of the circle.
[tex]\text{ Theorem :-}[/tex]
Perpendicular from the centre of circle , to the chord , bisects the chord .Using Pythagoras Theorem :-
[tex]\implies \rm OA^2= AB^2+OB^2\\\\\rm\implies OA^2= (6.3 cm)^3+(9cm)^2\\\\\rm\implies OA^2=
120.69 \\\\\implies\boxed{\rm OA = 10.9 cm }[/tex]
Hence the radius is 10.9 cm
6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?
Answer:
Try A
Step-by-step explanation:
382.4cm
Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.
Answer:
Kari = 20 hours
Chris = 10
Mark = 10
Explanation:
K is Kari's hours
C is Chris's hours
Karis = 2 x C = K
Chris = C
Mark = C
3C - 10 = K
Assume C is 10 (since 10 is 1/3 of the hours mentioned)
2 x 10 = 20 so K worked 20 hours
20 is twice as much as 10 (C's hours)
and it's 30 - 10 (10 less than 3 times as many hours as Mark)
Out of 195 students, 9% have
hazel eyes. How can you estimate the number of
students with hazel eyes?
Answer:
round it to 18 since 9% of 195 is 17.55
Step-by-step explanation:
Please help ASAP Please
Answer:
72 in.
Step-by-step explanation:
The height is scaled up time 6, so the base would be too. 12*6 = 72.
In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?
72
144
180°
Answer:
144°
Step-by-step explanation:
First, find the area of the circle, with the formula A = [tex]\pi[/tex]r²
Plug in 10 as the radius, and solve
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](10²)
A = 100[tex]\pi[/tex]
Using this, create a proportion that relates the area of the sector to the degree measure of the arc.
Let x represent the degree measure of the arc of the sector:
[tex]\frac{40\pi }{100\pi }[/tex] = [tex]\frac{x}{360}[/tex]
Cross multiply and solve for x:
100[tex]\pi[/tex]x = 14400[tex]\pi[/tex]
x = 144
So, the degree measure of the sector arc is 144°
Answer:
Solution :-We know that
Area = πr²
Area = 3.14 × (10)²
Area = 314/100 × 100
Area = 314 cm²
Now
40π/314 = x/360
40 × 3.14/314 = x/360
125.6/314 = x/360
0.4 = x/360
0.4 × 360 = x
144 = x
[tex] \\ [/tex]
please answer this as quick as possible.
Answer:
False
x=8-10=-2
Step-by-step explanation:
[tex]10 = x - 8 \\ ➡ \: x = 10 + 8 \\ ➡ \: x = 18[/tex]
[tex]\sf\red{The\:value\:of\:x\:is\:18.\:}[/tex]
[tex]\sf\pink{Hence,\:it\:is\:false.}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
(5x + 10) + (2x -3) =
Answer:
16
Step-by-step explanation:
I think sorry if I'm wrong
Answer: 7x+7
Step-by-step explanation:1
Eliminate redundant parentheses
(5x+10)+(2x-3)
(5x+10)+(2x−3)
5x+10+2x-3
5x+10+2x−3
2
Subtract the numbers
5x+10+2x−3
5x+7+2x
Combine like terms
5x+7+2x
7x+7
Solution
7x+7
Can anyone help me out here !
A triangle has base 4 cm
and height 9 cm, What is its
area
Answer:
18 cm^2
Step-by-step explanation:
Formula for area of triangle: bh/2
4x9=36
36/2=18
comments favorite math problem
You want math problems???
Answer:
Hᴇʏᴀᴀᴀ!! ᴍʏ ɴᴀᴍᴇ ɪꜱ ᴘɪɴᴋʏ ᴀɴᴅ ɪ ᴀᴍ ʜᴇʀᴇ ᴛᴏ ᴀɴꜱᴡᴇʀ ʏᴏᴜʀ Qᴜᴇꜱᴛɪᴏɴ!!ʕ ꈍᴥꈍʔ☆
Step-by-step explanation:
ɪ ᴅᴏɴ'ᴛ ʀᴇᴀʟʟʏ ʟɪᴋᴇ ᴍᴀᴛʜ ʙᴜᴛ ɪꜰ ɪ ʜᴀᴅ ᴛᴏ ᴄʜᴏᴏꜱᴇ ᴀ ꜰᴀᴠᴏʀɪᴛᴇ ɪᴛ ᴡᴏᴜʟᴅ ʙᴇ ᴀʟɢᴇʙʀᴀ!! (◕ᴗ◕✿)
ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!
*:･ﾟ✧*:･ﾟꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ ʕ ﾟ ● ﾟʔ✧✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ
Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? 6 O 3V17 square units B (3, 3) O 6/17 square units O 17 square units O 34 square units 6-5-4-3-2-11 3 4 5 6 X -3 C (1.-5)
Answer: b is correct
Step-by-step explanation: i did this
The area of rectangle ABCD is 34 square unit.
What is Distance Formula?In a cartesian plane there are two coordinates as P(a, b) and Q(c, d) then the distance between these points are
PQ = √(c- a)² + (d- b)²
We have Coordinates of rectangle
A(-1, 4), B(3, 3), C(1, -5) and D(-3, -4)
Using Distance Formula
AB = √ (3-4)² + (3+1)²
AB = √1 + 16
AB = √17 unit
Now, CB = √(-5-3)² + (1-3)²
CB= √ 64 + 4
CB = √68
CB = 2√17 unit
So, the area of Rectangle ABCD is
= l w
= √17 x 2√17
= 2 x 17
= 34 square unit
Learn more about Distance Formula here:
https://brainly.com/question/25841655
#SPJ7
what is a valid inference
Answer:
Deduction is inference deriving logical conclusions from premises known or assumed to be true, with the laws of valid inference being studied in logic. Induction is inference from particular premises to a universal conclusion.
Step-by-step explanation:
A figure with vertical line symmetry is placed on the coordinate plane. Given that the points (–8, –4) and (–3, –4) are on the edges of the figure, which of the following points lies on the line of symmetry?
Answer:
(-11/2; -4)
Step-by-step explanation:
The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
Answer:
(-11/2; -4)
Step-by-step explanation: The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
Explain what the diameter of a circle is. If you had the diameter of a circle, how could you solve for the circumference?
Answer:
The diameter cannot solve for the circumference, you need the Radius to do it.
Step-by-step explanation:
If you want to use the Diameter divide the Diameter by 2. Diameter=D Radius=R
So to find the circumference of a Circle, 2÷D=R. Now we do 2[tex]\pi[/tex]R. So now to find the answer we have to do 2x[tex]\pi[/tex]xR
Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for?
Answer: five and a half weeks.
Step-by-step explanation: 20 times 2 (the twice a week deposit) = 40. 220 (the negative checking) divided by 40 (the deposits each week) equals 5.5
Can someone please help me please....
Answer:
a
Step-by-step explanation:
(2)
3. Which of the following is NOT equal to 3/4
a.
a: (0)
b. 123
c. oo
Answer:
hindi ko poaintindihan paayos poFind the area of lis triangle.
Round to the learest tenth.
8 m
62°
12 m
[?] m2