100POINTS! EXPLAIN YOUR ANSWER OR I REPORT

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

0.5  is the probability that a driver is having a conversation while driving.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, 6/10 drivers look at their phones while driving. 3/10 drivers are having a conversation and looking at their phones while driving.

Let P(A) be the probability of drivers looking at their phones while driving.

and P(B) be the probability of drivers looking at their phones while driving.

Since:

P(A) = 0.6

P(A ∩ B) = 0.3

P(B) = (P(A ∩ B))/ P(A)

P(B) = 0.3/0.6

P(B) = 1/2

therefore, the probability that a driver is having a conversation while driving is 0.5.

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By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Answer:

3.918kg

Step-by-step explanation:

Given parameters:

 Doberman Pinscher weight  = 32.65kg

Unknown:

 Miniature Pinscher weight = ?

Solution:

From the first sentence;

       Miniature Pinscher's weight is  0.12 times Doberman Pinscher

   Miniature Pinscher's weight  = 0.12 x 32.65kg

Miniature Pinscher's weight  = 3.918kg

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Answer:

\(-i\sqrt{10}\)   (-i root 10)

Step-by-step explanation:

1. Rewrite the equation:

\(4x^5+4x^3=360x\) | divide by \(x\), \(x\) is assumed not being zero

\(4x^4+4x^2=360\) | rearrange and divide by \(4\)

\(x^2(x^2+1)=90\)

2. Substitute \(-i\sqrt{10}\), to the equation:

\((-i\sqrt{10})^2((-i\sqrt{10})^2+1)=90\)

calculate that \((-i\sqrt{10})^2=-10\), and substitute to find

\(-10*(-10+1)=90\)  

\(90=90\), and the equation holds.

3. We can substitute \(10i\), \(10\) and \(\sqrt{10}\), too, and find:

\((10i)^2((10i)^2+1)=-100*(-100+1)=9900\)  doesn't equal \(90\),

\(10^2(10^2+1)=100*(100+1)=10100\), doesn't equal \(90\)

\(\sqrt{10}^2(\sqrt{10}^2+1)=10*(10+1)=110\) that isn't equal to \(90\)

Answer:

See below

Step-by-step explanation:

x = amount of 30 % alcohol to use     total amount of alcohol = .30 x

25-x = amount of 5% alcohol to use    total amount of alcohol = .05 (25-x)

total alcohol in ingredients = total alcohol in end product

  .30x   +  .05(25-x)             =    .15 (25)

    .25x + 1.25 = 3.75

         x = 10 gal = 30%     then 5 % = 25-10 = 15 gal

spent : 2/5 + 1/4 = 8/20 + 5/20 = 13/20

remains = 7/20

The 7/20th fraction of his lotto earnings is remaining.

Let us say the man has $100

Money spent on luxury cars = 2/5 of the money

Money spent on luxury cars = 2/5 * 100 = $40

Money spent on buying a house = 1/4 of the money

Money spent on buying a house = 1/4 * 100 =$25

Money left with the man = 100-40-25 = $35

$35 is 35/100 fraction of $100.

35/100 = 7/20

So, the 7/20th fraction of his lotto earnings is remaining.

Hence, the 7/20th fraction of his lotto earnings is remaining.

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The best measure of variability to use for the distribution of dolphins sighted by the tour boat over 30 days is the interquartile range.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.

The interquartile range is the range of values that lie between the 25th and 75th percentile of the data set. This measure of variability is particularly useful when dealing with skewed distributions. It allows us to better understand the spread of values within the data set, in this case, the number of dolphins sighted. This measure is preferable to the mean and median because it is more resistant to outliers and is more representative of the data set. The mean absolute deviation can also be used to measure the variability of the data set, but it is less robust than the interquartile range.

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Answer:

  46

Step-by-step explanation:

You want to evaluate the expression t²u+s for t=-2, u=9, s=10.

Put the numbers in the places of the corresponding variables, and do the arithmetic.

  (-2)²·9 +10 = 4·9 +10 = 36 +10 = 46

The value of the expression is 46.

Answer:

. (a) A scientist is doing an experiment on bacteria. She finds that the number ofbacteria in a test tube increase at a rate of 0.9% per hour.At 12 noon there are 4500 bacteria.At 3 pm, how many bacteria will be present? Give your answer to 3 significantfigures.

12pm 4500 bacteria1pm 4500 x 1.009 bacteria 2pm 4500 x 1.009 x 1.009 bacteria3pm 4500 x 1.009 x 1.009 x 1.009 bacteriaTherefore at 3pm there are 4620 bacteria present.

Answer: 4620 (3)(b) In another experiment with the same bacteria, the scientist counts 3000 bacteria.How many bacteria were there two hours prior to this measurement?Give your answer to 3 significant figures.

Now 3000 bacteria1 hour ago 3000 ÷ 1.009 bacteria 2 hours ago 3000 ÷ 1.009 ÷ 1.009 bacteriaTherefore 2 hours ago there were 2950 bacteria present

Answer: 2950

Step-by-step explanation:

The anwer is B, f(x)=9500-750x

Hope this helps, brianliest if you can!

It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

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Answer:

Emily receives $1,750 less after the shift

Step-by-step explanation:

Answer:

u already know homes

Step-by-step explanation:

gracias

Answer:

Thanks!!!

Step-by-step explanation:

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:

B,C,D

Step-by-step explanation:

They are matching up and in relation, but 1 is not.

Answer:

The depth is 127 inches.

Step-by-step explanation:

The stairway and its depth can be compared to a right angled triangle. Let the depth be represented by d.

But,

12 inches = 1 foot

20 ft 6 in = 20 + \((\frac{6}{12} )\)

               = 20.5 feet

So that applying the appropriate trigonometric function, we have;

Sin θ = \(\frac{opposite}{hypotenuse}\)

Sin 31º = \(\frac{d}{20.5}\)

d = 20.5 x Sin 31º

   = 20.5 x 0.5150

d = 10.5575

d ≅ 11 feet

Therefore,

d = 10.5575 feet = (10.5575 x 12) inches

  = 126.69 inches

The depth is 127 inches.

Step-by-step explanation:

Vertex at  -4,3 would result in vertex form of parabola  

g(x) = (x+4)^2 + 3

Answer:

B. 4 : 0

Step-by-step explanation:

4 ÷ 0 = undefined.

Anything divided by zero will always be undefined because 0 has no value and nothing times it will get anything more than 0.

Ex...

0 x 1 = 0

0 x 2 = 0

And so on..

An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. The relations are: x+3, 3x², 3ˣ

An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign.

Finding the relations:

Relationship 1:

The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.

Relationship 2:

The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is 3x² which matches the values of y².

Relationship 3:

The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3ˣ), which matches the values of y³.

Therefore the relations are: x+3, 3x² and 3ˣ

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Answer: Hope you guys can see it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Start

<F = <Q                     Given

<GPF = <RPQ           Vertically opposite angles

<FGP = <QRP            A triangle has 180 degrees. 2 equal angles means the third pair must be equal

Triangle GPF ~ Triangle RPQ   AAA

end

I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.

20

JL/LE = 90/27                 Given

KL /LD = 90/27               Given

<JLK = <DLK                   Vertically opposite

Are the ratios equal       Yes  Then is the angle included Yes

Then the triangles are similar.

Are the ratios not equal  No then the triangles cannot be similar

Is the angle not included  Then similarity cannot be proved.

ΔJLK ≈ ΔDLK                  Equal Ratios and included angle === similarity

9514 1404 393

Explanation:

19) ∠F ≅ ∠Q; ∠FPG ≅ ∠QPR  ⇒  ∆FPG ~ ∆QPR (AA)

__

20) LE/LK = 3/10; ∠ELD ≅ ∠KLJ; LD/LJ = 3/10*  ⇒  ∆ELD ~ ∆KLJ (SAS)

* the ratios are the same, hence the sides are proportional

_____

The above format A; B; C ⇒ (similarity statement) (postulate) is intended to be sufficient for you to fill in a flowchart diagram similar to the one attached.

Answer:

10

Step-by-step explanation:

Answer:

47.

Step-by-step explanation:

90-43=47.

Check the picture below.

so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?

\(\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2\)

Answer: Large

Step-by-step explanation:  Hope it helps Good luck!!!

Answer:

2.25 ≈ 2

Step-by-step explanation:

Now we have to,

→ express 2.25 as a whole number.

Let's solve the problem,

→ 2.25

→ ≈ 2

(Because 2.25 is nearest to 2)

Hence, the answer is 2.

The solution is:  the rate of change is 3.

Here, we have,

Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

g(x) = f(x) - 1

f(x) = 3|x| – 4

so, we get,

g(x) = 3|x| – 4 - 1

      = 3|x| – 5

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

rate = g(5) - g(2)/ 5-2

so, we get,

rate = 9/3 = 3

Therefore the rate of change is 3.

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