A geometric sequence has a4 = 4 and a5 = 7. What is a1 ? Your answer​

Answers

Answer 1

Answer:

4⁴/7³ or 256/343

Step-by-step explanation:

Given GP with

a₄ = 4a₅ = 7a₁ = ?

Let the common difference is r, then

a₅ = a₄ra₁r³ = 4a₁r⁴ = 7

Solve for r and then a₁:

4r = 7 ⇒ r = 7/4a₁(7/4)³ = 4a₁ = 4*(4/7)³ = 4⁴/7³ = 256/343

Related Questions

PLS HELP ASAPPPP ILL GIVE BRAINLIEST OR WHATEVER NO LINKS!!!!!!!!!!!!!!!!!!

Answers

1) Power of a Product

2) Power Rule (or Power of a Power)

Answer:

-Number 1 is Power of a Power Property, I think

-Number 2 is Power of a Power Property

Which best describes the figure that is represented by the following coordinates?
A(-4, 3), B(2,3), C(3, -1) and D(-5, -1)
у
10-
a rectangle
8
6
a trapezoid
4
2
a rhombus
10-8
-6 -4
24
8
X
0
-2
a parallelogram
-4-
-6
-8
- 10

Answers

9514 1404 393

Answer:

  (b)  a trapezoid

Step-by-step explanation:

A graph of the points reveals one pair of parallel sides: a trapezoid.

A turtle and a snail are 300 feet apart when they start moving towards each other. The
turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1
foot per minute.
How fast are they approaching each other?

Answers

Answer:

6 feet per minute

Step-by-step explanation:

Answer:

6 feet per minute.

Step-by-step explanation:

5ft + 1ft = 6ft per minute.

Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble?

Answers

Answer:

120

Step-by-step explanation:

Blue marbles = 2

Red marbles = 3

Total marbles = 2 + 3 = 5

If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :

P(drawing a blue marble) = number of blue marbles / total number of marbles

= 2 /5 = 0.4

Predicted number of times blue is drawn in 300 selections :

300 * 0.4 = 120

Approximately 120 times

how are all angles in the 4th quadrant, negative or positive?

Answers

Answer:

They are all positive because you must go right.

They are all negative because you must go down.

Step-by-step explanation:

Example. (1,-4)

You go over one.

Down 4

ill mark brainlist plss help

Answers

to answer your question, the answer would be 8

Each car on a computer train holds 20 people. On a particular morning, 5 cars were 90% full and 3 cars were 65% full. If the people were rearranged to fill as many cars as possible, how many cars would be filled?

Answers

Answer:

7 cars

Step-by-step explanation:

The computation of the number of cars to be filled is shown below:

A car that is 90% full and the total people is 20 so 90% would be

= (.90)(20)

= 18

A car that is 65% full and the total people is 20 so 65% would be

= (.65)(20)

= 13

Now

Total number of people = (5)(18) + (3)(13).

= 129

Now the number of cars to be filled is

= 129 ÷ 20

= 6.45

= 7 cars

Does anyone know the answer? I would really appreciate it!!

Answers

Answer:

B

Step-by-step explanation:

The answer is B hope that help

Compare lengths. Write >, <, or = .

22 ft __ 7 yd 11 in.

Answers

22ft is less than 7yd 11in

I'll give brainliest to whoever answers correctly.

Answers

Answer:

29

Step-by-step explanation: pls dont get mad if it is wrong

<3<3<3<3<3<3

Answer:

29

<3<3<3<3<3<3

The circumference of a circle is approximately 131.88 centimeters What is the area of the shaded region (6/10 of a circle)

Answers

Answer:

82.97cm^2

Step-by-step explanation:

Given data

Circumference=  131.88 centimeters

We want to find the area of 6/10 part of a circle

Firstly, let us find the area of the circle

We need to get the radius

C= 2πr

131.88= 2*3.142*r

131.88=6.284r

r=  131.88/6.284

r=20.98 cm

Area= πr^2

Area= 3.142*20.98^2

Area= 3.142*440.16

Area= 1382.98cm^2

Hence 6/10 of a 1382.98

=0.06*1382.98

=82.97cm^2

Write an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2

Answers

Answer:

5: 2 or 10: 4

Step-by-step explanation:

as a ratio, this would be 5: 2.

Im not sure if it's asking you to also make a new ratio that fits this, but if it is you could multiply both sides by 2 to get

10 : 4

Complete the Square
x2 + 10x +

Answers

Answer:

( + 10)

Hope this helps you out

What is the HCF of 280, 112, and 140.​

Answers

Answer:

Step-by-step explanation:

First find prime factorization of the numbers

280=2^3(5)7

112=2^4(7)

140=2^2(5)7

So the HCF is 2^2(7)=4(7)

HCF=28

helps pls :-/
number 12
any help is greatly appreciated!

Answers

x = 5, that’s the answer to question 12

Howard worked out the problem below and his answer is below. Is Howard correct? If not, where did he make his mistake? Explain and give the right answer.

What is 40% of 140?

4.8

Answers

Answer: 56

Step-by-step explanation:

Howard is incorrect the right answer is 56.

HELP AGAIN PLEASE REEEEEEEEEEEEE

Answers

Answer:

3. D

4. A

5. B

Step-by-step explanation:

Or D : X=9


Choose one answer pls

Answers

Answer:

[tex]x=\sqrt{41}[/tex]

Step-by-step explanation:

Pythagorean theorem: [tex]a^{2}+ b^{2}=c^{2}[/tex]

Answer:

Option B

Step-by-step explanation:

Pythagorean Theron is:

[tex]a^2+b^2=c^2\\\\\text{a and b - legs}\\\text{c - hypotenuse}[/tex]

We would be solving for 'c', or the hypotenuse.

[tex]4^2+5^2=c^2\\\\16+25=c^2\\\\41=c^2\\\\\boxed{\sqrt{41}, -\sqrt{41} =c}[/tex]

The correct answer should be option B.

Hope this helps.

Can someone please help with this?

Answers

Answer:

true

Step-by-step explanation:

first find the median of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

A rancher is building a new square corral for his horses. The total perimeter of the corral is 520m. What will the total area of the corral be?

Answers

Answer:

4*s= 520

s= 130

area=s*s=130*130=16900m^2

Step-by-step explanation:

write an equation in slope-intercept for the line that has a slope of 1/2 and goes through the point (4, 7)

Answers

Answer:

y = 1/2x + 5

Step-by-step explanation:

The formula for an equation is y = mx + b

m is the slope. It is given

y = 1/2x + b

b is the y-intercept

In this case, we must substitute to find the y-intercept

We are given coordinate pair (4,7)

Plug our pair in and we get => 7 = 1/2(4) + b

=> 7 = 2 + b

easily, we find b = 5

We get our equation: y = 1/2x + 5

Cheers!

Show that the area of triangle DEF is 11 cm2.​

Answers

9514 1404 393

Explanation:

The length CD can be found from the Pythagorean theorem.

  CF² + CD² = DF²

  2² + CD² = (2√10)²

  CD² = 40 -4 = 36

  CD = √36 = 6

From here, any of several methods could be used to find the area of ΔDEF.

One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.

  area ABCD = bh = (6 cm)(5 cm) = 30 cm²

  area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²

  area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²

  area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²

Then the area of interest is ...

  area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF

  area ΔDEF = (30 -10 -3 -6) cm²

  area ΔDEF = 11 cm²

__

Alternate solution

If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...

  D(0, 5), E(4, 0), F(6, 3)

The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.

  [tex]A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}[/tex]

_____

Additional comment

The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.

find the distance between the points (-4,-2) and (3,3)

Answers

Answer:

8.6

Step-by-step explanation:

Use the distance formula to find the distance between the two points.

√[(x₂ - x₁)² + (y₂ - y₁)²]

√[(3 - -4)² + (3 - -2)²]

√[(7)² + (5)²]

√[(49) + (25)]

√74

8.6

What are the solutions to the system of the equations graphed below?

Answers

Answer:

D

Step-by-step explanation:

Where the graphs intersect each other is where the solution is. The graphs intersect each other at the points (0,-8) and (4,8). Hope this helps!

A (2,0) and (0,-8) because it’s shown in the picture that’s the red line indicates the place it needs to be in

At the start of the show there were 2000 liters of oxygen in the
studio Now that we are 10 minutes into the show, there are 1950 liters. Is
someone. breathing in here? What is their rate of oxygen consumption in liters do
per minute?



please help​

Answers

Answer:

11,000

Step-by-step explanation:

Which statement is true?
y = 12(3)*
Growth Factor is 3
Decay factor is 3
growth factor is 12
decay factor is 12

Answers

Y= 12(3)*
Growth factor is 3

can someone pls help i’ll mark you brainliest pls pls pls it’s due in 10 min

Answers

Answer:

Step-by-step explanation:

1) r = 5mm; d = 10 mm

2) r = 6 cm; d = 12 cm

3) r = 9 m; d = 18 m

4) r = 8 km; d = 16 km

5) r = 11 m; d = 22 m

6) r = 15 mm; d = 30 mm

7) r = 13 km; d = 26 km

8) r = 7 cm; 14 cm

can someone please help, I've been stuck on this for hours​

Answers

Answer:

i love ur profile pic

Step-by-step explanation:

and j

put a dot on 3 for the y side

shawty baes please help!! ( no links please!)

Answers

The answer is 3 I just took the test

Please help me!!!
solve for f : 5/6 f =5
1. 5
2. 4.2
3. 7.3
4. 6

Answers

Answer:

6

Step-by-step explanation:

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