help me with this please thank you mate

If the sum of first four terms in a G.P. is 30 and that of the last four terms is 960, then the sum of the first 8 terms is 990

We also know that a = 2

sum of first 4 terms

= 2(r^4 - 1)(r-1) = 30

r^4 - 1 = 15r - 15

r^4 - 15r + 14 = 0

r = 1 works for the equation , but r = 1 would make all the terms of the

GP the same, so clearly not a solution

r^4 - 15r + 14 = 0 , a bit of trial and error ....

(r-1)(r - 2)(r^2 + 3r + 7) = 0

so r = 2 or r = not real

check: sum(4) = 2(2^4 - 1)/(2-1) = 30 , as needed

so r = 2 , BUT it does not work for sum(8)

sum(8) = 2(2^8 - 1)(2-1) = 510 , not 990 as necessary according to your second part of the question.

check your question.

Answer:

The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.

Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .

In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:

( × 9) ÷  

( × 9) ×  = 18 quarts

To learn more about ratios, please check: brainly.com/question/17995727

Step-by-step explanation:

18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that recipe for sparkling grape juice calls for [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quart of grape juice

Let us convert  [tex]1\frac{1}{2}[/tex] to improper fraction as 3/2

We need to find the amount of sparkling water would you need to mix with 9 quarts of grape juice

Let x be the sparkling water would you need to mix with 9 quarts of grape juice

Let us form a proportional equation.

3/2/(3/4)=x/9

3/2×4/3=x/9

2=x/9

18=x

Hence, 18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.

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A is the correct answer

ok done. Thank to me :>

Answer:

y > -4

Step-by-step explanation:

The line almost intercepts at the point -4, but it is slightly above it, meaning Y is bigger (>) than -4.

Answer:

3.2 seconds

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y=3, you can see it when you start from ×=-1 and then follow the line in the graph

Answer:

f(-1) = 3

Step-by-step explanation:

You can see the function f(x) on the graph. To find f(-1), you need to find the value of the function at x = -1.

Starting from the center at (0, 0), just go 1 to the left and then up to the line. You can see the point at x = -1 on the line is y = 3, so f(-1) is equal to 3.

Answer:

4

Step-by-step explanation:

2²

Answer:

Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...

Step-by-step explanation:

Answer:

999

Step-by-step explanation:

Answer:

999

Step-by-step explanation:

8% of 11,325 is 906

53 plus 40 is 93

906 plus 93 is 999

Answer:

13/ 14 the first one

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

12x-9x

=4x

I hope my answer is correct

and if u like mark me as brainliest answer.

Answer:

12x - 9x

= 3x ( 4- 3)

= 3x ( 1)

= 3x

Answer:

[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]

Step-by-step explanation:

We are asked to find the slope of the line.

Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.

We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:

Substitute the values into the formula.

[tex]m= \frac{-5 -1}{1 - -3}[/tex]

Solve the numerator.

[tex]m= \frac{ -6}{1--3}[/tex]

Solve the denominator. Two back-to-back negative signs become a positive sign.

[tex]m=\frac{-6}{4}[/tex]

Simplify the fraction. Both the numerator and denominator can be divided by 2.

[tex]m= \frac{-6/2}{4/2}[/tex]

[tex]m= -\frac{3}{2}[/tex]

The slope of the line is -3/2, so the correct choice is C.

Step-by-step explanation:

First, this is how I read it.

[tex]\log(x^{125})=-3[/tex]

Next, this is how logarithms work:

[tex]b^y=x\implies \log_b(x)=y[/tex]

In your equation, we have all 3 numbers:

With that information, you can convert the logarithm into "normal" form:

[tex]10^{-3}=x^{123}[/tex]

The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.

Now, just solve for x:

[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]

That's about as simplified as it gets, unless you want this:

[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]

Thats 10^(3/125), numbers got very small.

I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.

Answer:

wouldn't the answer be 9

Step-by-step explanation:

Answer:

22h^2 + 33 (added) .    h⋅h⋅22,2,22,2−3+10 (subtracted)

Step-by-step explanation:

I don't understand what you want so I will list lots of answers hopefully it helps. Please message under my answer for more solutions so I can help you but I hope this started to help you.

Answer:

50(5-3x)

Step-by-step explanation:

250=2*5^3

150=2*3*5^2

GCF=2*5^2=50

250/50=5

150/50=3

50(5-3x)

Answer:

-20%

Step-by-step explanation:

Current value of an item and divide it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

ROC = (current value/previous value​ − 1) x 100

ROC = (1,000,000/1,250,000 - 1) x 100

ROC = (0.8 - 1) x 100

ROC = -0.2 x 100

ROC = -20

Answer:

  P'(3, -12)

Step-by-step explanation:

Assuming we're dilating the figure by a factor of 3 using the origin as the center of dilation, the coordinates of P' will be 3 times those of P:

  P' = 3P

  P' = 3(1, -4)

  P' = (3, -12)

Answer:

x=48 because 180-156=24. 108+24=132 180-132=48

Determine whether a number is a solution to an equation.

- BRAINLIEST answerer

Answer:

substitute the value you solve the variable for back into the original equation and see if the left and right sides of the equation are equal

Step-by-step explanation:

let's say you have this equation:    

2x - 10 = 26

solve by first adding 10 to each side to get:

2x = 36

now divide each side by 2 to get:

x = 18

to check, substitute 18 in for 'x' in the original equation to see if the left side equals the right side of the equation:

2(18) - 10 = 26

36 - 10 = 26

26 = 26

we know our answer is correct

Answer:

Step-by-step explanation:

I would start with the form

y = mx + b

and then convert to standard form.  Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2 ⇒ m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

5x + 7y = 14 (standard form)

The equation in standard form of the line is 5x + 7y = 14

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, a line is passing through (7, -3) and has a y intercept of 2

The general equation of a line is y = mx + b

Using the given point and the given y-intercept, find the slope from

-3 = 7m + 2

m = -5/7

y = (-5/7)x + 2  

7y = - 5x + 14

Converting into standard form;

5x + 7y = 14

Hence, the equation in standard form of the line is 5x + 7y = 14

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PLACE VALUE. VALUE

6. Hundreds. 200

7. Ones. 1

8. Hundreds. 0

9. Hundreds. 800

10. Tens. 60

Answer:

i dont know sry....i ned points..

Answer:

[tex]A)13[/tex]

Step-by-step explanation:

[tex]4(x+2)-6=x+41[/tex]

[tex]→4x + 4 \times 2 - 6 = x + 41[/tex]

[tex]→4x + 8 - 6 = x + 41[/tex]

[tex]→4x + 2 = x + 41[/tex]

[tex]→4x + 2 - x = x + 41 - x[/tex]

[tex]→4x - x + 2 = x - 41 - x[/tex]

[tex]→3x + 2 = x + 41 - x[/tex]

[tex]→3x + 2 = 41[/tex]

[tex]→3x + 2 - 2 = 41 - 2[/tex]

[tex]→3x - 39[/tex]

[tex]→ \frac{3x}{3} = \frac{39}{3} [/tex]

[tex]→x = \frac{39}{3} [/tex]

[tex]→x = 13[/tex]

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

• According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]

Answer: B

Solution: Because the line is a dotted line. so print (-3, -1) and (3, 3) , (0, 0) are not the solution, so , answer is (0, 5) choice B.

Answer:

C

Step-by-step explanation:

first way: (easier way)

Plot the points out, points in the blue region are solutions. points on the dotted line are not solutions since it is a dashed line.

(0,5 is in the blue region)

second way:

find the equation of the in-equality:

the line that divides solutions and non-solutions passes through 3,3 and -3,-1

y=mx+b

m=change in y/change in x = (-1-3)/(-3-3) = 2/3

y=2/3x+b

plug x=3, y=3 (from the point "3,3")

3=2/3*3+b

3=2+b

b=1

y=2/3x+1 is the solution of the line.

the in-equality is

y(?)2/3x+1

plug in -5,5, which is a solution (looking at the graph)

5>-7/3

so use >, and not <

y>2/3x+1 is the equation of the in-equality, now just plug the answer choices in to see that

x=0,y=5 is a solution