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3 years ago

Is three a solution of z^2 +1=4+3z?

Mathematics

1 answer:

DiKsa [7]3 years ago

8 0

Answer:

Step-by-step explanation:

z^2 +1=4+3z

Substitute into the equation and see if it is true

3^2 +1 = 4+3(3)

9+1 = 4+9

10 = 13

This is not a true statement so this is not a solution

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The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th

natali 33 [55]

Answer: see Explanation

Step-by-step explanation:

THE GAINEY'S:

Recursive Formula :

A1 = $10

An = An-1 + $10

A2 = $10 + $10 = $20

Where n = day of the month

Explicit formula :

y = a + b(c - 1)

WHERE:

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

THE ARNOLD'S :

Recursive formula:

First day of the month (A1) = $10

An = 2(An-1)

A2 = 2(A1) = 2(10) = $20

A3 = 2(A2) = 2(20) =$40

Explicit formula:

y = a(b)^c

Where :

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

5 0

3 years ago

Eight times the sum of 8 and some number is 17. What is the number?

OverLord2011 [107]

Edited answer: The number is: "- 6" .
_______________________________________________

8 (8 + x) = 16 ;

in which "x" represents the number for which to be solved ;

8*8 + 8*x = 16 .

Edit: 64 + 8x = 16 ;

Subtract "64" from each side of the equation:

Edit: 64 + 8x − 64 = 16 <span>− 64 ;

to get: 8x = </span>- 48 ;

Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the <span>equation ; and</span> to solve for "x" ;

Edit: 8x / 8 = -48 / 8 ;

Edit: x = - 6 .
______________________________________________
The number is: "- 6" .
______________________________________________
Let us check our answer, by plugging in "-6" for "x" in the original equation:
______________________________________________
8 (8 + x) = 16 ;

→ 8 [8 + (-6) ] =? 16 ?? ;

→ 8 (8 − 6 ) =? 16 ?? ;

→ 8 (2) =? 16 ?? ;

→ 16 = ? 16 ?? Yes!
_________________________________________________

4 0

3 years ago

Read 2 more answers

Can someone pls help me I really need help in here.. PLS…

dem82 [27]

Answer:

So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.

So for 3.25 and 3 1/2

3 1/2 is greater

3.25 < 3 1/2 (so it should look like this when the symbol on that side)

and for -4.5 and -4.05

-4.05 is greater.

-4.5 < -4.05 (so the symbol is also on that side.)

7 0

3 years ago

Assume that a cross is made between a heterozygous tall pea plant and a homozygous short pea plant. Fifty offspring are produced

Butoxors [25]

Answer:

1) $\chi^2 = \frac{(30-25)^2}{25} +\frac{(20-25)^2}{25} =1 +1 =2$

2) $df = c-1 = 2-1$

Where c represent the number of categories c=2

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

Tall =30 , Short =20

We need to conduct a chi square test in order to check the following hypothesis:

H0: The deviations from a 1:1 ratio (25 tall and 25 short) are due to chance.

H1: The deviations from a 1:1 ratio (25 tall and 25 short) are NOT due to chance.

Part 1

So then we know that the expected values would be 25 for each case

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

And if we replace we got:

$\chi^2 = \frac{(30-25)^2}{25} +\frac{(20-25)^2}{25} =1 +1 =2$

Part 2

For this case the degreed of freedom are given by:

$df = c-1 = 2-1$

Where c represent the number of categories c=2

And we can calculate the p value given by:

$p_v = P(\chi^2_{1} >2)=0.157$

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(2,1,TRUE)"

7 0

3 years ago

The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as

mafiozo [28]

Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.

<h3>What is the Length of an Arc?</h3>

Arc length = ∅/360 × 2πr

Since the sector formed is a quarter circle, then ∅ = 90°.

Raidus (r) = 70 ft

Distance from the starting point to the return point = arc length.

Arc length = ∅/360 × 2πr = 90/360 × 2π(70)

Arc length = 109.9 feet

Therefore, based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.

Learn more about the arc length on:

brainly.com/question/2005046

3 0

1 year ago

Read 2 more answers