Answer:
The value of a₂₇ is 788
Step-by-step explanation:
a₁₉ = 548
a₃₃ = 968
Now,
a₁₉ = 548 can be written as
a + 18d = 548 ...(1) and
a₃₃ = 968 can be written as
a + 32d = 968 ...(2)
Now, from equation (2) we get,
a + 32d = 968
a + 18d + 14d = 968
548 + 14d = 968 (.°. a + 18d = 548)
14d = 968 - 548
14d = 420
d = 420 ÷ 14
d = 30
Now, for the value of a put the value of d = 30 in equation (1)
a + 18d = 548
a + 18(30) = 548
a + 540 = 548
a = 548 - 540
a = 8
Now, For a₂₇
a₂₇ = a + 26d
a₂₇ = 8 + 26(30)
a₂₇ = 8 + 780
a₂₇ = 788
Thus, The value of a₂₇ is 788
-TheUnknownScientist
Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?
Answer:
the mean is $80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Mean of Phone Bills =
[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]
Asking this again because the person who answered the last one gave the incorrect answer. If 7 iced cupcakes cost $21, then how much would 5 iced cupcakes cost?
Answer:
$15 for 5 cupcakes
Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5
Answer:
3x - 5
Step-by-step explanation:
Given that f(x) = 5x - 2 and g(x) = 2x+3
f(x) - g(x) = 5x-2 - (2x+3)
Expand
f(x) - g(x) = 5x - 2 - 2x - 3
Collect like terms
f(x) - g(x) = 5x - 2x -2-3
f(x) - g(x) = 3x - 5
Hence the required answer is 3x - 5
Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?
What is the mean and the median
Answer:
You're lucky I have the dot plot, other wise this could not be answered.
Median: 7.5
Mean: 7.5
Yes, they are both 7.5.
Please look at picture
Answer and Step-by-step explanation:
1. Figure A, B, and C are Parallelograms
2. Figure A and C are Rectangles
3. Figure A is a Square
#teamtrees #PAW (Plant And Water)
Answer:
1) a, b, & c
2) a & c
3) a & c
Step-by-step explanation:
Find the area of the following shapes.
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
Write a linear function f with f(2)=-2 and f(1)=1
Answer:
y = -3x + 4
Step-by-step explanation:
x y
0 4
1 1
2 -2
Going down 3 for every increase of x by 1, when x = 0, y = 4
Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.
Answer:
616 square feet
Step-by-step explanation:
Lateral surface area of a cylinder can be determined by;
Lateral surface area = 2[tex]\pi[/tex]rh
where: r is its radius, and h is its height.
Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;
Lateral surface area = 2[tex]\pi[/tex]rh
= 2 x [tex]\frac{22}{7}[/tex] x 2 x 14
= 2 x 22 x 2 x 7
= 616
Lateral surface area = 616 square feet
Thus, the lateral surface area of the cylinder is 616 square feet.
Can y’all help with geo?
Here's the solution,
figure 1.
by using trigonometry,
=》
[tex] \sin(60) = \dfrac{5 \sqrt{3} }{y} [/tex]
=》
[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} [/tex]
=》
[tex] \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } [/tex]
=》
[tex] \dfrac{1}{y} = \dfrac{1}{10} [/tex]
=》
[tex]y = 10[/tex]
And,
=》
[tex] \cos(60) = \dfrac{w}{y} [/tex]
=》
[tex] \dfrac{1}{2} = \dfrac{w}{10} [/tex]
=》
[tex]w = 5[/tex]
So, values are :
y = 10w = 5figure 2.
Since, it's an isosceles triangle, w = y,
So, by pythagoras theorem :
=》
[tex] {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} [/tex]
=》
[tex] {w}^{2} + {w}^{2} = 98[/tex]
=》
[tex]2 {w}^{2} = 98[/tex]
=》
[tex] {w}^{2} = 49[/tex]
=》
[tex]w = \sqrt{49} [/tex]
=》
[tex]w = 7[/tex]
and we know, w = y, so their values will be equal to 7 units.
Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36
Answer:
D
Step-by-step explanation:
The area of the rectangle below is 18 square units. What is the width of the rectangle? Write and solve a division equation to find the width of the rectangle.
Answer:
24/5 or 4 and 4/5
Step-by-step explanation:
3 and 3/4=15/4
18 divided by 15/4=4 and 4/5
4 and 4/5=24/5
24/5 times 15/4=18
Answer:
I agree with the person above but I'm not so sure.
What is the solution to the equation 2(x + 3)2 = 98?
Answer: if you're solving by x it would be x=43/2
Step-by-step explanation:
write 20.5×10^-5 in standard form. please help
Answer:
the answer is 2.05×10^-4
The square root of 17 is between the what two whole numbers? (just list them with a comma in between them.)
Answer:
17 lies between 16 and 25. So√17 lies between √16 and √25. The prime factorization method is used to write a square root of a non-perfect square number in the simplest radical form.
Answer:
The answer is 16,25
help will give brainliest if right
BTW the last answer choice is D. 1
Please help me i dont understand this
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
can someone please help me
Two people start biking from the same point. One heads east at 13 mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 minutes? What is the rate at which the distance between the two people is changing after 25 minutes?
Answer:
[tex]22.21\ \text{mph}[/tex]
[tex]22.2\ \text{mph}[/tex]
Step-by-step explanation:
[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]
[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]
[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing
At 25 minutes
[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]
[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]
[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].
At 35 minutes
[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]
[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]
[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].
Mr. Davis is packing a box with books. The box is a rectangular prism with the 2 ft 3 ft 2 ft What is the volume of the box?
Answer:
12 ft^3
Step-by-step explanation:
Given data
Dimension
Lenght= 2ft
Width= 3ft
Height= 2ft
The expression for the volume is
Volume= L*W*H
Substitute
V= 2*3*2
V= 12 ft^3
Hence the volume of the box is 12 ft^3
What is the arc length of the shaded region of the circle to the newest centimeter?
Find the product: (6x+5)(2x−7)
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700
Help please I’ll give brainliest
Identify the transformation from figure A to figure B in the image below.
glide reflection
reflection
translation
dilation
Answer:
Reflection
Step-by-step explanation:
Here, we want to get the transformation that yielded figure B from figure A
Looking at the plot, we can see that we have the origin as the center of transformation
The kind of transformation however is reflection
The shape A was reflected about the origin or the point (0,0) to give shape B
Answer:
glide reflection
Step-by-step explanation:
got it right on a quiz
01. Apenas uma das matrizes abaixo é, ao mesmo tempo, quadrada, diagonal e identidade. Identifique-a: a[0,1,0,1]. B[1,0,0,1]. C[1,3,0,1]. D[1,1,1,1]. E[0,1,1,0]]
Responder:
b)
1 0
0 1
Explicação passo a passo:
Das opções fornecidas:
Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)
Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.
Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.
Indo por essas condições apenas a matriz (b); atende às três condições.
I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.
Answer:
area: 1070
perimeter: 434 units
Step-by-step explanation:
area:
- use pythagoream theorem to find the height, which is gonna be 84
- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)
- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)
perimeter:
just add all the lengths given together.
A graph of is shown on the grid.
What are the zeros of f?
Answer:
no graph is provided, the zeros of f cannot be found without a graph
Step-by-step explanation:
Find the area of the smaller sector.
brainlest
Answer:
44.68 m²
Step-by-step explanation:
Area of a sector = θ/360*πr²
Where,
θ = 80°
r = 8 m
Plug in the values into the equation
Area of the sector = 80/360*π*8²
= 44.6804288 ≈ 44.68 m² (nearest hundredth)
Find x and y
Show all the work
Answer:
x=27°
y=4 units
Step-by-step explanation:
To find x:
The sum of all the angles in a quadrilateral is 360°. In a rhombus (you know it's a rhombus because it's a quatrilateral where all the sides are congruent), opposite angles are congruent. Because you're given that the measure of ∠T is 127°, you also know that m∠V=127°. You also know that m∠U=m∠S=(2x-1)°.
Using this information, set up an equation.
127+127+(2x-1)+(2x-1)=360
You can just divide both sides by 2 to get:
127+(2x-1)=180
Then, just solve for x.
127+2x-1=180
2x+126=180
2x=54
x=27°
To find y:
All the sides are given to be congruent. That's what the little marks on the sides mean, and that's how we knew it was a rhombus earlier.
So SV=VU=UT=TS
SV=6y-5
VU=3y+7
Since SV=VU:
6y-5=3y+7
Solve for y.
3y=12
y=4
Hope I could help!
You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7
Answer:
7/3
Step-by-step explanation:
Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3
Hope I helped!
Brainliest? :o
Keywords: donuts, donut, brother, equation, receive