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3 years ago

Help! What's the slope?

Mathematics

1 answer:

Sliva [168]3 years ago

7 0

Answer:

2/7

Step-by-step explanation:

You do the number it goes up, 1 to 3 in this case, over the number it goes sideways, 3 to -4. My teacher always said rise over run to help us remember.

You might be interested in

Mars has m moons. The number of moons of Pluto is one more than twice the number of moons of Mars. The number of moons of Neptun

tigry1 [53]

Answer:

Neptune has 2 more than 6 times the number of moons on mars

Explanation:

neptune = 6m+2

mars has 'm' moons

pluto has one more than twice that of mars, = 2m+1

neptune is one less than thrice of pluto

= 3(2m+1) -1

= 6m+3 -1

= 6m+2

6 0

3 years ago

Tonja is a married taxpayer who claims 2 withholding allowances. She earns

viva [34]

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

<h3>What is Federal Income Tax?</h3>

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

Social Security Tax which is 6.2% and
Medicare Tax which is 1.45%. The total is 7.65%

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450 = $45

7.65% on $450 = $34.43

Total = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

Learn more about FICA Tax at:
brainly.com/question/3214345

3 0

2 years ago

M-4=2m how to solve this

Phantasy [73]

$m-4=2m\\m-2m=4\\-m=4\ \ \ \ \ \ \ \ \ \ \ \ |*(-1)\\m=-4$

3 0

3 years ago

Read 2 more answers

What times what gives me -48 but adds to be -32?

oee [108]

Answer:

a couple of irrational numbers: -16±4√19, approximately {1.436, -33.436}

Step-by-step explanation:

Your question can be cast as the quadratic equation

x² +32x -48 = 0

The solutions can be found using the quadratic formula:

x = (-32 ±√(32² -4(1)(-48)))/(2(1)) = -16±√304 = -16±4√19

_____

<em>Comment on the equation we used</em>

We notice that when p and q are roots, the equation can be written ...

(x -p)(x -q) = 0 = x² -(p+q)x +pq

You want p+q = -32, pq = -48, so the equation is ...

x² -(-32)x +(-48) = 0

x² +32x -48 = 0 . . . . . . with parentheses eliminated

5 0

3 years ago

Ksju [112]

Answer:

We conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Step-by-step explanation:

We are given that Bottles of a popular cola drink are supposed to contain 300 ml of cola. The distribution of the contents is normal with standard deviation of 3 ml.

A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4, 297.7, 301.0, 298.9, 300.2, 297.0

<u><em>Let </em></u> $\mu$ <u><em> = mean contents of cola bottles.</em></u>

SO, Null Hypothesis, $H_0$ : $\mu \geq$ 300 ml {means that the mean contents of cola bottles is more than or equal to the advertised 300 ml}

Alternate Hypothesis, $H_A$ : $\mu$ < 300 ml {means that the mean contents of cola bottles is less than the advertised 300 ml}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean contents of cola bottle = $\frac{\sum X}{n}$ = 299.03 ml

$\sigma$ = population standard deviation = 3 ml

n = sample of bottles = 6

So, <em><u>test statistics</u></em> = $\frac{299.03-300}{\frac{3}{\sqrt{6} } }$

= -0.792

<em>Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is more than the critical value of z as -0.792 > -1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

8 0

4 years ago