Identify two segments that are marked congruent to each other on the diagram
below. (Diagram is not to scale.)
K
H
#
is congruent to

Answer:

11800

Step-by-step explanation:

4.5%=0.045

0.045x10,000=450

450x4(quarterly)=1800

10,000+1800= 11800

Answer:

After 1 year, $10,457.65

Step-by-step explanation:

P = $ 10, 000

r = 4.5% = 0.045

T = 1 year

n = 4 ( compounded quarterly )

      [tex]A = P( 1 + \frac{r}{n})^{nt}[/tex]

         [tex]= 10000( 1 + \frac{0.045}{4})^{4 \times 1}\\\\=10000 \times 1.01125^{4}\\\\= 10000 \times 1.04576508633\\\\= 10457.6508633\\\\= \$ 10, 457.65[/tex]

Answer:

[tex] \frac{r}{3} - 15[/tex]

Step-by-step explanation:

Swap places with A(r) and r so we have

[tex]r = 15 + 3a(r)[/tex]

Solve for a(r).

[tex] \frac{r}{3} = 15 + a(r)[/tex]

[tex] \frac{r}{3} - 15 = a(r)[/tex]

Answer:

99.7% of IQ scores are between 46 and 148.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 97, standard deviation of 17.

What percentage of IQ scores are between 46 and 148?

97 - 3*17 = 46

97 + 3*17 = 148

Within 3 standard deviations of the mean, so:

99.7% of IQ scores are between 46 and 148.

Answer:

d

Step-by-step explanation:

d part it is. this is the answer

Answer:

Sally will earn $21.25 per hour after she removes daycare charges from her total earnings.

Let's start by solving how much money Sally earns per week.

To find this value, we will find the product of 40 hours per week and 30 dollars per hour.

[tex]40\times30=1200[/tex]

We now know that Sally makes $1,200 a week without deducting the daycare charges per day.

However, we know we need to deduct 70 dollars for each day that Sally works. Since she works for five days a week, we will find the product of 70 dollars per week and five days a week.

[tex]70\times5=350[/tex]

Therefore, the daycare charges $350 per week.

Finally, we need to subtract the daycare charges from the amount of money that Sally earns to find how much she actually makes in a week.

[tex]1200-350=850[/tex]

Therefore, for forty hours of work that Sally works each week, she earns $850.

However, we are not done. The question asks us to find how many dollars per hour does she actually make? Therefore, we need to find the quotient of 850 dollars and 40 hours per week.

[tex]\displaystyle \frac{850}{40}=21.25[/tex]

Therefore, Sally earns $21.25 each hour after deducting daycare costs.

Answer:

do it yo fawkin self pluck pluck

Answer: Segment AB is tangent to the circle

Step-by-step explanation:

3 sides are 16, 20, and 12

If angle a is 90 then ab is tangent

now check using Pythagorean theorem

since 12^2 + 16^2 =20^2, this means angle a is a right angle meaning segment AB is tangent to the circle

Answer:

hope it helps you.......

It May Help You

Thank You:)

Answer:

a)[tex]S=2.57[/tex]

b)[tex]H=203.2yard[/tex]

c)[tex]X=121.79yards[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta=1.2=68.755^o[/tex]

a)

Generally the equation for Slope is mathematically given by

 [tex]S=tan \theta[/tex]

 [tex]S=tan 68.755[/tex]

 [tex]S=2.57[/tex]

b)

Given the right Angle triangle with horizontal distance [tex]x=85yard[/tex]

Generally the equation for Height traveled is mathematically given by

 [tex]H=tan\theta*x[/tex]

 [tex]H=2.57*85[/tex]

 [tex]H=218.45[/tex]

 [tex]H=203.2yard[/tex]

c)

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

[tex]X=\frac{313}{tan65.75}[/tex]

[tex]X=\frac{313}{2.57}[/tex]

[tex]X=121.79yards[/tex]

Using the projectile principle, the slope of the rockets path, height above the ground and the distance traveled at a height of 313 yards would be 2.57, 218.63, 121.69 respectively.

Given the Parameters :

Converting to degree :

A.)

The slope of the rocket's path :

Slope = tan(68.755) = 2.57

B.)

Horizontal distance, = distance along the x-axis = 85 yards

Vertical distance = height = distance along y-axis, y

y = slope × x

y = tan(68.755) × 85

y = 218.63 yards

C.)

Vertical distance, y = 313 yards

From :

[tex] y = x tan\theta [/tex]

[tex] x = \frac{y}{tan\theta} [/tex]

[tex] x = \frac{313}{tan(68.755°)} [/tex]

x = 121.69 yards

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Answer:

Z +7

Step-by-step explanation:

Z-4/4+8

Divide first

Z -1 +8

Add and subtract

Z +7

Answer:

61%

Step-by-step explanation:

We can see that out of all the people that were surveyed, 54% were 10th graders. Since 33% out of all the ones surveyed were 10th graders that chose robotics, the fraction would be 33/54 which is 0.611.

This is 61% approx.

Answer:

61%

Step-by-step explanation:

A P E X

Answer:less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.

Step-by-step explanation:

less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.

Все детали на приложенном фото.

Answer:

x = -0.5

Step-by-step explanation:

-7x-3=5x+3

+7x       +7x

-3=12x+3

-3        -3

-6=12x

x=-0.5

Based on the equation,the equation which is not an inverse variation is f(x) = kx

f(x) = kx

= k × x

f(x) = 2k/x

= k(2/x)

f(x) = -kx/z

= k(-x/z)

Inverse variation is given by:

y = k(1/x)

where,

Therefore, f(x) = kx is not an inverse variation.

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Answer:

Step-by-step explanation:

10 divided by 50

[tex] = \frac{10}{50} [/tex]

[tex] = \frac{1}{5} [/tex]

= 0.2 (Ans)

0.2 is the correct answer

Answer: a+b+c=0 and 3a+5b+c=0

Step-by-step explanation:

If you find a solution to these equations, you will find an equation of your line. Please notice that (a,b,c) defines the same line as (ka,kb,kc) and for any non-zero k, and a=b=c=0 defines no line equation at all. Now you can take a=1 and solve for b and c, or take b=1 and solve for a and c, or take c=1 and solve for a and b, at least one of these will work.

Answe

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Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

The mean of the readings is:[tex]=\dfrac{175+104+164+193+131+189+155+133+151+ 176}{10}[/tex]

[tex]= \dfrac{1571}{10}[/tex]

= 157.1

The standard deviation (SD) can be computed by using the expression:

[tex]SD =\sqrt{ \dfrac{\sum_f(x_i - \bar x)^2}{n-1}}[/tex]

[tex]SD =\sqrt{ \dfrac{(175-157.1)^2+(104-157.1)^2+(164-157.1)^2+...+(176-157.1)^2}{10-1}}[/tex]

Standard deviation = 28.195

∴

FOr the EDTA complexes;

The signal detection limit = (3*SD) + [tex]y_{blanks}[/tex]

= (3*28.195) + 50

= 84.585 + 50

= 134.585

We need to point out that the value of the calibration curve given is too vague and it should be (1.75 x 10^9 M^-1) as oppose to  (1.75 x 10^-9 M^-1)

The concentration of detection limit is:

[tex]=\dfrac{3 \times SD}{slope }[/tex]

[tex]=\dfrac{3 \times 28.195}{1.75 \times 10^{9} \ M^{-1} }[/tex]

[tex]\mathbf{= 4.833\times 10^{-8} \ M}[/tex]

The lower limit of quantification is:

[tex]=\dfrac{10 \times SD}{slope }[/tex]

[tex]=\dfrac{10 \times 28.195}{1.75 \times 10^{9} \ M^{-1} }[/tex]

[tex]\mathbf{= 1.611 \times 10^{-7} \ M}[/tex]

Step-by-step explanation:

the answer is in the image above

Answer:

3%

Step-by-step explanation:

Cost x sales tax rate =tax

370 x sales tax rate = 11.10

sales tax rate =11.10/370

sales tax rate=.03 or 3%

The sales tax rate is 3% if an item costs $370 before tax and the sales tax is $11.10.

The percentage is defined as a ratio expressed as a fraction of 100.

To determine the sales tax rate, we need to divide the amount of sales tax paid by the cost of the item before tax and then multiply the result by 100% to express it as a percentage.

As per the question, the amount of sales tax paid is $11.10, and the cost of the item before tax is $370. Therefore, the sales tax rate is:

sales tax rate = tax paid / (cost of the item before tax) x 100%

sales tax rate = $11.10 / $370 x 100%

Apply the division operation,

sales tax rate = $0.03 x 100%

Apply the multiplication operation,

sales tax rate = 3%

Therefore, the sales tax rate is 3%.

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Answer:

x² + 3x - 10 = 0

x² - 25 = 0

Answer:

x = 4

Step-by-step explanation:

Given

3x - 4 = 8 ( add 4 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Answer:

V = 6 in ^3

Step-by-step explanation:

The formula for volume is

V = Bh where B is the area of the base

The base is a triangle and the height is 2 inches

B = 1/2 bh where b is 3 and h is 2

B =1/2 (3)*2 = 3 in^2

V = 3 *2

V = 6 in ^3

Answer:

[tex]V=6[/tex] cubic inches

Step-by-step explanation:

The Volume formula for a triangular prism is [tex]V=\frac{1}{2} bhl[/tex]

[tex]V=\frac{1}{2} (3)(2)(2)[/tex]

[tex]V=\frac{1}{2} (12)[/tex]

[tex]V=6[/tex]

Hope this helps

Answer:

sk,m

Step-by-step explanation:

Answer:

a=1.34

b=-10

>10

Step-by-step explanation:

Answer:

210 different mega calzones can be made.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Additionally:

The order in which the toppings and the cheeses are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Toppings:

5 from a set of 7. So

[tex]C_{7,5} = \frac{7!}{5!2!} = 21[/tex]

Cheeses

3 from a set of 6. So

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

How many different mega calzones can be made if a mega calzone contains 5 different toppings and 3 different cheeses?

Toppings and cheeses are independent, and thus, by the fundamental counting principle:

21*20 = 210

210 different mega calzones can be made.

Answer:

294

Step-by-step explanation:

Use the order of operations or PEMDAS

Parentheses

Exponents

Multiply

Divide

Add

Subtract

Answer:

The first one is 4

The second on is 21

Answer:

12 ÷12 = 1

Step-by-step explanation:

hsjshxudbdodbdgekddvdke

Answer:

28.125%

Nearest whole percent: 28%

Step-by-step explanation:

54/192 = .28125

move decimal to the right (two times)

28.125%

Using the percentage concept, it is found that 28% of the patients that are cats were seen by Dr. Fluke.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 54 out of 192 cats were seen by Dr. Fluke, hence the percentage is given by:

[tex]P = \frac{54}{192} \times 100\% = 28.1\%[/tex]

Rounding to the nearest percent, 28%.

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Answer:

(6×10) + (0.7×10)

60+7=67