-4.13(u - 19) = 12.38

u =


PLEASE HELP ME
thank u :)

The least to greatest of the ratio is 18 : 32, 5 : 8, and 11 : 16

Least to greatest arrangement can also be referred to as ascending order. Ascending order is the order such that each element is greater than or equal to the previous element.

5 : 8

= 5/8

= 0.625

11 : 16

= 11/16

= 0.6875

18 : 32

= 18/32

= 0.5625

Therefore, the ratio can be arranged as 18 : 32, 5 : 8, and 11 : 16 in ascending order.

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Answer:

24

Step-by-step explanation:

we'll use the pythagoras theorm, but change it a little

instead of a² + b² = c², we'll use c² - a² = b²

26² - 10² = 576

the square root of 576 is 24, and that's the answer :)

The first thing we have to know is that 1 kilogram is equal to 1000 grams

if we have 5.4 kilograms

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

17x

Step-by-step explanation:

Combine terms with like variables. Like terms are terms with the same amount of variables as well as the same variable. Combine their coefficients:

20x - 4x = 16x

16x + (1)x = 17x

17x is your answer.

~

Answer:

17x

Step-by-step explanation:

20x-4x = 16x

16x + x = 17x

17x

Answer:

2

Step-by-step explanation:

1+1=2

Julio accidentally put in an extra 1/10 cup of sugar.

To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).

The difference can be calculated as follows:

Actual amount - Required amount = Extra amount

= 4/10 - 3/10

= 1/10

Therefore, Julio accidentally put in an extra 1/10 cup of sugar.

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The probability of winning the jackpot with one ticket is P ( A ) = 1/34

Given data ,

To calculate the probability of winning the jackpot in the lottery, we need to determine the total number of possible outcomes (the sample space) and the number of favorable outcomes (winning outcomes).

Total number of possible outcomes:

For the white balls, there are 43 numbers to choose from, and we need to select 5 distinct numbers in any order. This can be calculated using the combination formula:

C(n, r) = n! / (r! * (n - r)!)

where n is the total number of options and r is the number of selections. In this case, we have 43 white balls and need to choose 5, so the number of possible outcomes for the white balls is:

C(43, 5) = 43! / (5! * (43 - 5)!) = 43! / (5! * 38!) = 43 * 42 * 41 * 40 * 39

For the gold ball, there are 34 numbers to choose from, and we need to select 1 number. So the number of possible outcomes for the gold ball is simply 34.

Therefore, the total number of possible outcomes is:

Total outcomes = (43 * 42 * 41 * 40 * 39) * 34

Number of favorable outcomes (winning outcomes):

To win the jackpot, we need to match all 5 distinct numbers from the white balls and the number on the gold ball. Since order doesn't matter for the white balls, we can use the combination formula again:

C(n, r) = n! / (r! * (n - r)!)

In this case, we have 43 white balls and need to choose 5, so the number of favorable outcomes for the white balls is:

C(43, 5) = 43! / (5! * (43 - 5)!) = 43 * 42 * 41 * 40 * 39

For the gold ball, there is only 1 winning number.

Therefore, the number of favorable outcomes is:

Favorable outcomes = (43 * 42 * 41 * 40 * 39) * 1

Probability of winning the jackpot:

The probability of winning the jackpot is the ratio of the number of favorable outcomes to the total number of possible outcomes:

Probability = Favorable outcomes / Total outcomes

Plugging in the values, we get:

Probability = [(43 * 42 * 41 * 40 * 39) * 1] / [(43 * 42 * 41 * 40 * 39) * 34]

Simplifying, we find:

Probability = 1 / 34

Hence , the probability of winning the jackpot with one ticket in this lottery is 1 in 34.

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Answer:

C. She left out a zero between the two and the five

Step-by-step explanation:

Given that Susan is expected to convert 12,050,000 to scientific notation, what Susan should have done is shown below:

Count the number of decimal places from your right up to before the first digit, and place the decimal point after the first digit. The number of decimal places counted would determine the exponent we are to use.

Here, we have 7 decimal places, counting from the right to the left, therefore, the exponent would be a positive 7.

What Susan should have is:

1.205 × 10⁷ NOT 1.25 × 10⁷.

1.25 × 10⁷ = 12,500,000, which is different from 12,050,000.

Her paper was marked wrong because: "she left out a zero between the two and the five"

The basketball player is 31 centimeters taller than Mr. Vega.

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena. Measurement is a fundamental aspect of mathematics, science, engineering, and many other fields, and it plays an important role in everyday life. In order to make measurements, a system of units is necessary.

To find how much taller the basketball player is than Mr. Vega, we need to subtract Mr. Vega's height from the basketball player's height:

Basketball player's height - Mr. Vega's height = 216 cm - 185 cm = 31 cm

Therefore, the basketball player is 31 centimetres taller than Mr. Vega.

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Answer: 450000, 160

Step-by-step explanation:

4.5 ⋅ 10^5 =

4.5*100000=

4*100000+0.5*100000=

400000+50000=450000

1.6 ⋅ 10^2=

1.6*100=

1*100+0.6*100=

100+60=160

Answer:

$200.86

i think that's right

Answer:

Step-by-step explanation:

Answer:

15/17

Step-by-step explanation:

Since this is a right triangle,

sin theta = opp/ hypotenuse

sin Z = 15/17

Answer:

-----------------------

Refer to attachment

Given ΔPQR with two equal sides, PQ and PR. It is therefore isosceles. Hence the angles opposite to equal sides are equal.

We are looking for ∠QPR, let it measure be x and the measure of the other two angles be y.

Also we have a point S on PR making another isosceles ΔQSR as two sides are equal:

It makes ∠QSR and ∠QRS equal. Since we said angle on vertex R is y, we also get ∠QSR of same value y.

Now, using triangle angle sum theorem, with regards to ΔPQR we can determine that:

Same approach to ΔQSR:

We are given that m∠PQS = 30°, therefore:

Substitute values of angles:

Now substitute this into angle sum equation for ΔQSR:

Find x by substituting 70 for y into first equation:

Hence the angle QPR is 40°.

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Given the Trigonometric Functions:

Using your calculator you get:

By definition, Secant is negative in Quadrant III.

Finds its Reference Angle as follows:

Because:

Then, you get:

Notice that:

Then, you can conclude that it is in Quadrant II.

Therefore its Reference Angle is:

So you can set up:

By definition:

Therefore, you can rewrite it in this form:

Hence, the answer is:

Answer:

The cost per ounce of the small cup is $0.269

Step-by-step explanation:

To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.

Cost per ounce = Cost of the cup ÷ Number of ounces in the cup

Cost of the cup = $2.69

Number of ounces in the cup = 10 oz

So,

Cost per ounce = $2.69 ÷ 10 oz

Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)

Therefore, the cost per ounce of the small cup is $0.269.

You need to prove that all the angles measure 90 degrees and that their sides are equal

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer:

<15

Step-by-step explanation:

Answer:

is there no button to check if it's right or wrong? Cuz i use big ideas too, and it usually does

Step-by-step explanation:

.

Answer:

Length is 14

Width is 6

Step-by-step explanation:

Length = 2W + 2

Width = W

Perimeter is twice the length + twice the width

P = 40 = 2(2W+2) + 2W first simplify

40 = 4W + 4 + 2W  now combine terms

40 = 6W + 4 and subtract 4 from both sides

36 = 6W

Width W = 6

Length = 2W + 2 = 12 + 2 = 14

Step-by-step explanation:

Hey there!!

Here, Given that, Zach is 8 yrs older than Mikayla.

Let the age of Mikayla be x then age of Zach is (x+8).

Second condition is if 3 is added to their age, their age's sum is 54. So, the ages are:

(x+8) + 3 = x + 11

and x+3.

According to the condition,

\((x +11) + (x + 3) = 54\)

\(2x + 14 = 54\)

\(2x = 54 - 14\)

\(x = \frac{40}{2} \)

Therefore, x = 20

And x+8 = 20 + 8 = 28.

Therefore, the age of Mikayla is 20 years and Zach is 28 years.

Checking:

(x+11) + (x+3)= (20+11) + (20+3) = 54. (True)

Hope it helps...

Answer:45 dimes

Step-by-step explanation:

66 nickels = 66 x $0.5 = $3.30

$7.80 - $3.30 = $4.50

$4.50 / $0.10 = 45

Brielle has 45 dimes.

The amount of money more that his shirt cost in Fresno than Bakersfield is $0.145.

Given that the amount of shirt is $20. The value of the shirt in Fresno will be:

= Cost + Tax

= $20 + (8.225% × $20)

= $20 + $1.645

= $21.645

The value in Bakersfield will be:

= Cost + Tax

= $20 + (7.5% × $20)

= $20 + $1.5

= $21.5

The difference will be:

= $21.645 - $21.5

= $0.145

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Answer:

Given pupulation means m equal to 150 milliseconds population standard deviation, sigma equal to 25 milly seconds.

Step-by-step explanation: