Solve using the quadratic formula: Y = 2x^2 - 7x-3

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Explanation:

The diagram shows that we have two pairs of angles that are congruent. The angles with the single red arc pair up and are congruent, and the angles with the double arcs are the other congruent pair.

That takes care of the two "A"s in "ASA". As you can probably guess or know by now, "A" stands for "angle".

The only thing we need is the info about a pair of sides if they are congruent or not. In this case, we can see that the horizontal sides of the triangles are congruent since they overlap perfectly, or they are a shared common side. We use the reflexive property to say that "any segment is congruent to itself".

Answer:

Area = 80 units²

Step-by-step explanation:

Given that:

a = 19 units

b = 9 units

c = 97°

Find the area of the triangle!

Area = ab(sin(c))/2

Area = [19×9×(sin(97))]/2

Area = 84.86 units²

Area = 80 units² ✅

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#IndonesianPride

- kexcvi -

Answer:

Step-by-step explanation:

[tex]a_{n}=-2*5^{n-1}\\n=11\\a_{11}=-2*5^{11-1}\\a^{11}=-2*5^{10}\\=-2*50,000,000,000\\=-100,000,000,000[/tex]

Answer:

62 cm

Step-by-step explanation:

It's basically just a rectangle, so area formula for rectangle is base x height

Answer:

x>9/5

Step-by-step explanation:

x>9/5

Answer:

400ml of juice

Step-by-step explanation:

1 litre of water = 100ml of juice

4 litres of water =? ml of juice

to get from 1 litre to 4 litre of water you multiply by 4,so you do the same for the juice and multiply the juice by 4.

100×4=400

4 litres of water = 400ml of juice

Answer:

The answer would be letter D. Valuable.

Answer:

-6

Step-by-step explanation:

anything for sangwoo

The numeric value of this expression is -6!

[tex] \large \sf f(x) = 12 - 2x {}^{2} [/tex]

[tex] \large \sf f(-3) = 12 - 2\cdot (-3){}^{2} [/tex]

[tex] \large \sf f(-3) = 12 - 2\cdot 9 [/tex]

[tex] \large \sf f(-3) = 12 - 18 [/tex]

[tex] \boxed{ \boxed{{ \large \sf f(-3)=-6}}}[/tex]

Therefore, the result of this expression is f(-3)=-6. ✅

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Work Shown:

3(m+2) + 4(6+m)

3m+6 + 24 + 4m

(3m+4m) + (6+24)

7m+30

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Explanation:

In the second step, I used the distribution rule a*(b+c) = a*b+a*c. We multiply the outer term by every term inside. So for instance 3(m+2) = 3*m+3*2 = 3m+6.  A similar situation applies to 4(6+m) as well. Afterward, I grouped and combined like terms.

We can think of 3m+4m = 7m as saying "I have 3 maps and someone gave me 4 more maps, so that means I have 3+4 = 7 maps now". The m is a place holder for any number.

Answer:

12.5%

Step-by-step explanation:

Given that,

Initial temperature of a piece of metal = 32°C

Final temperature of the piece of metal = 36°С

We need to find the percentage increase in the temperature of the piece of metal.​ The percentage increase in any value is given by the relation as follows :

[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{36-32}{32}\times 100\\\\=12.5\%[/tex]

So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.

Answer:

472×82=38704

Step-by-step explanation:

Prime factorization:

2^4×41×59

Answer:

x+y=3

Assuming that the option 1 and 2 dont mean anything

Answer:-4

Step-by-step explanation:

Answer:

2/5 minute OR 24 seconds

Step-by-step explanation:

4/10 = 2/5 minute

Hope that helps!

Answer:

Step-by-step explanation:

base of model is 6 ft by 6 ft

base of building is 78 ft by 78 ft

scale factor = 78÷6 = 13

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that [tex]\mu = 8, \sigma = 1.1[/tex]

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]

This probability is the pvalue of Z when X = 9.3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]

[tex]Z = 2.64[/tex]

[tex]Z = 2.64[/tex] has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 9. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9 - 8}{0.4491}[/tex]

[tex]Z = 2.23[/tex]

[tex]Z = 2.23[/tex] has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Answer:

y=-1/2x+5/2

Step-by-step explanation:

y-4=-1/2(x-(-3))

y-4=-1/2(x+3)

y-4=-1/2x-3/2

y=-1/2x-3/2+4

y=-1/2x+5/2

Answer:

$90.00

Step-by-step explanation:

Given

[tex]c = 45.00[/tex]--- base fee

[tex]m = 15.00[/tex] --- rate

[tex]x = 3[/tex] --- individuals

Required

Determine the total amount paid (y)

The relationship between the variables is:

[tex]Total = Base\ Fee + Rate * Individuals[/tex]

[tex]y = c + mx[/tex]

This gives:

[tex]y = 45.00 + 15.00 * 3[/tex]

[tex]y = 45.00 + 45.00[/tex]

[tex]y = 90.00[/tex]

Hence, the amount is $90.00

Answer:

1)  D

2)  A

Step-by-step explanation:

Answer:

attachment plz

Step-by-step explanation:

nothing is being seen

Answer: b

Step-by-step explanation: I am 95% sure

Answer:

Discount percent = 43% off

Discount amount (money saved) = $75.25

Step-by-step explanation:

To find the discount percentage:

List price ($175) minus the sale price ($99.75) then divided by the list price ($175) and multiplied by 100 to get the discount percent of 43%.

To find how much money was saved:

List price ($175) minus sale price ($99.75) to get the amount saved, which savings are $75.25 in this case.

I hope this helps :)

Answer:

y=5/3x

Step-by-step explanation:

Hope it helps u mate....

Answer:

3

Step-by-step explanation:

Answer:

$72891.1094

Step-by-step explanation:

This method of saving is called sinking fund.

Future value (FV) =  A*([tex]\frac{[(1+r)^{n} - 1]}{r}[/tex])

Where A is the amortization, r is the rate and n the number of years.

A = $3000

r = 2% = 0.02

n = 20

FV = 3000 * [tex](\frac{[(1.02)^{20} - 1]}{0.02})[/tex]

     = 3000 * 24.2973698

     = 72891.1094

FV  = $ 72891.1094

The amount that would be in the account after 20 years is $72891.1094

Answer:

angle ERT = angle YUP

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon is (n - 2) * 180. In this formula, N is the number of sides. So, to find the number of sides that a polygon with an interior angle measure of 10080 has, we'll set the formula equal to 10080.

10080 = (n - 2) * 180

Divide both sides by 180

56 = n - 2

Add 2 to both sides

n = 58

Hope this helps!! :)

Answer:

58 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is 10,080°

n = the number of sides

(2n - 4)90 = 10080

2n - 4 = 10080/90 = 112

2n = 116

n = 58.