Help me please find which ones are the right triangles (10 points )

A half-life of 9 minutes corresponds to a decay factor k such that

[tex]\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)[/tex]

Then the time it takes for the substance to decay from 610 g to 124 g is time t such that

[tex]124\,\mathrm g=(610\,\mathrm g)e^{kt}[/tex]

Solve for t :

[tex]\dfrac{62}{305}=e^{kt}[/tex]

[tex]\ln\left(\dfrac{62}{305}\right)=kt[/tex]

[tex]t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686[/tex]

so it takes about 20.7 min for the 610 g sample to decay down to 124 g.

Answer:

225 feet

Step-by-step explanation:

Square sides are always the same size so just multiply 15x15.

Answer:

CD = 24

Step-by-step explanation:

If G is the centroid, then CG = GD. (12 = 12)

Since CD is CG and GD combined, we would just add these two numbers to find the total length of CD.

CG + GD = CD

12 + 12 = 24

Answer:

Step-by-step explanation:

D) six and two sixths minus three and two eighths

Answer:

D) six and two sixths minus three and two eighths

Step-by-step explanation:

Step-by-step explanation:

V

=

a

2

h

3

=

142

2

·

93

3

=

6.25084×105

The volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

A Square Pyramid is a pyramid with the base as a square. It is also known as pentahedron. It has 5 faces out of which 4 are triangles while 1 is a square.

The volume of the square pyramid is one-third of the product of the area of the square and the height of the pyramid. Thus, the volume of the square pyramid with a side length of 142 m and a height of 93 m can be written as,

[tex]\rm \text{Volume of square pyramid} = \dfrac13 \times \text{(Area of square)} \times Height[/tex]

                                          [tex]= \dfrac13 \times (142)^2 \times 93\\\\= 625,084\rm\ m^3[/tex]

Hence, the volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

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Answer:12x-157-5.2x

Step-by-step explanation:Like this or you want us to solve it lol

The given equation can be written in logarithmic form as  xlog(2) + log(3 × 2ˣ - 5) = log(157).

Logarithm function is defined as the inverse of the exponential function.

If a^(b) = c, then b = log(c) at the base of a.

Logarithm of any number is always positive.

For negative numbers, the logarithm are complex numbers.

The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]

Suppose 2ˣ be t, then the equation can be rewritten as,

3(t² + 3) - 5(t + 2) - 156 = 0

⇒ 3t² - 5t = 157

⇒ t(3t - 5) = 157

Take logarithm both sides to get,

log(t(3t - 5)) = log(157)

Use the property log(ab) = log(a) + log(b) to get,

log(t) + log(3t - 5) = log(157)

Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,

xlog(2) + log(3 × 2ˣ - 5) = log(157)

Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).

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Answer:

4x-32

Step-by-step explanation:

first multiply the numbers so 8x4 is 32 so 4x-32

Answer:

...you can just look up a Fahenheit to Celsius/vice versa/ calculator. it would have been so much faster and easier, but *sigh*

approx. 0.623 F per minute

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.

We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.

Answer:

at least

Step-by-step explanation:

A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is AT LEAST as large as the principal times the monthly interest rate.

The correct word that missing in the statement is at least.

Given that, a statment is given we have to determine which word is missing the statment.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

The monthly payment being at least equal to the principal multiplied by the monthly interest rate is a reasonable estimate for a long-term loan with a moderate or high-interest rate. So the correct statement is given as,
"A fairly good estimate for a long-term loan with a moderate or high-interest rate is that the monthly payment is at least as large as the principal times the monthly interest rate."

Thus, the correct word that missing in the statement is at least.

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Answer:

11m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define expression

2(5m) + m

Step 2: Simplify

Answer:

11m

Step-by-step explanation:

2 times 5m equals 10m and 10m plus m equals 11m

Answer: The highest score is 66

Step-by-step explanation: First we need to set the problem up.

x - 39 = 27

Next solve the problem.

Get x by itself by getting rid of the negative 39

x - 39 + 39 = 27 + 39

Add/Subtract

x = 66

You don’t need to simplify anymore so leave the problem alone since you already have the answer.

Hope it helped you guys!

Answer:

[tex]m = (2,6)[/tex]

Step-by-step explanation:

Given

A(5, 8) and B(-1,-4)

Required

Determine the midpoint

Represent the midpoint with m

m is calculated as thus:

[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where:

[tex](x_1,y_1) = (5,8)[/tex] ---- A

[tex](x_2,y_2) = (-1,4)[/tex] ------ B

So, the expression:

[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

becomes

[tex]m = (\frac{5 -1}{2},\frac{8 + 4}{2})[/tex]

[tex]m = (\frac{4}{2},\frac{12}{2})[/tex]

[tex]m = (2,6)[/tex]

Hence, the coordinates of the midpoint is: (2,6)

Answer:

0

Step-by-step explanation:

Since zero is less than five we would round down

so our answer is zero

Hope this helps

Hope u get it right

Answer:

7+(−2) = 7 − 2 = 5

Step-by-step explanation:

Answer:

The Positive number has to be greater than the negative number you are adding with.

Example(s):

-30 + 35 = 5

-65 + 70 = 5

Second choice, m = 4

Step-by-step explanation:

y = 4x - 10

y = mx + b, m is the slope, and in the equation 4 is replacing m therefore 4 is the slope.

(If u want to know, yes I wrote third instead of second but at least it's edited noe)

Answer:

m=4

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

Answer:

238.328

Step-by-step explanation:

The product of 0.62 x 10 is 6.2. So, I did 6.2 to the power of 3, which is 238.328.

Answer:

The equation of line perpendicular to given line passing through (-15,-4) is:

[tex]y = -\frac{4}{3}x-24[/tex]

Step-by-step explanation:

Given equation is:

[tex]3x-4y = 9[/tex]

The given equation is in standard form. We have to convert it into slope intercept form first.

The slope intercept form is:

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

So,

[tex]3x-4y=9\\3x-9 = 4y\\4y = 3x-9\\\frac{4y}{4} = \frac{3x-9}{4}\\y = \frac{3}{4}x - \frac{9}{4}[/tex]

The co-efficient of x is the slope of the line.

m = 3/4

The product of slopes of two perpendicular lines is: -1

Let m1 be the slope of line perpendicular to given line then

[tex]m.m_1 =-1\\\frac{3}{4} . m_1 = -1\\m_1 = -1 * \frac{4}{3} \\m_1 = -\frac{4}{3}[/tex]

Putting in slope-intercept form

[tex]y = m_1x+b\\y = -\frac{4}{3}x+b[/tex]

To find the value of b, putting (-15,-4) in equation

[tex]-4 = -\frac{4}{3}(-15) +b\\-4 = 20+b\\-4-20 = b\\b = -24[/tex]

The equation will be:

[tex]y = -\frac{4}{3}x-24[/tex]

Hence,

The equation of line perpendicular to given line passing through (-15,-4) is:

[tex]y = -\frac{4}{3}x-24[/tex]

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=9,\:y=13[/tex]

the option 'd' is correct.

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}5x-3y=6\\ 6x-4y=2\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}5x-3y=6\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:30x-18y=36[/tex]

[tex]\mathrm{Multiply\:}6x-4y=2\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:30x-20y=10[/tex]

[tex]\begin{bmatrix}30x-18y=36\\ 30x-20y=10\end{bmatrix}[/tex]

[tex]30x-20y=10[/tex]

[tex]-[/tex]

[tex]\underline{30x-18y=36}[/tex]

[tex]-2y=-26[/tex]

[tex]\begin{bmatrix}30x-18y=36\\ -2y=-26\end{bmatrix}[/tex]

solve for y

[tex]-2y=-26[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-2[/tex]

[tex]\frac{-2y}{-2}=\frac{-26}{-2}[/tex]

[tex]y=13[/tex]

[tex]\mathrm{For\:}30x-18y=36\mathrm{\:plug\:in\:}y=13[/tex]

[tex]30x-18\cdot \:13=36[/tex]

[tex]30x-234=36[/tex]

[tex]30x=270[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}30[/tex]

[tex]\frac{30x}{30}=\frac{270}{30}[/tex]

[tex]x=9[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=9,\:y=13[/tex]

Therefore, the option 'd' is correct.

Answer:

-1

Step-by-step explanation:

The mode is just the data point that is present the most, which is -1.

Answer:

-1

explanation:

Answer: 1.) -24

2.) 96

3.) 8

Step-by-step explanation:

1.) A negative number multiplied times a positive number will automatically equal a negative answer. Ex: (-9) (5) = -45

2.) A negative number multiplied times a negative number will autimatically equal a positive answer. Ex: (-4) (-5) = 20

3.) This is the same as the statement above, but all you're doing this time is dividing. A negative number divided by a negative number will equal a positive number. Ex: -36 ÷ (-9) = 4

Answer:

Length of a room is 10ft

Step-by-step explanation:

Given

[tex]Rooms = 16[/tex]

[tex]Carpet\ Area = 100ft^2[/tex]

Required

Determine the length of each room

Here, we'll assume that the carpet will cover each room completely.

If so:

[tex]Carpet\ Area = Length * Length[/tex]

[tex]100ft^2 = Length * Length[/tex]

[tex]100ft^2 = Length^2[/tex]

Take square root of both sides

[tex]\sqrt{100ft^2} = \sqrt{Length^2}[/tex]

[tex]\sqrt{100ft^2} = Length[/tex]

Take positive square root

[tex]10ft = Length[/tex]

[tex]Length = 10ft[/tex]

Hence, the length of a room is 10ft

Answer:

1650

Step-by-step explanation:

75x22+1650

Answer:

Step-by-step explanation:

Let us assume the question was asked in the year 2020, that is this year

Say that Mr. Green was born in year x

The mathematical expression for his statement is given as

[tex]x + 2020 - (x + 10 + x + 50) + (2020 - x) = 122[/tex]

Solve for x

x + 2020 + 2020 - x - x - 60 - x = 122

4040- 122- 2x = 0

3918= 2x

divide both sides by 2

3918/2= x

x=1959

He was born in 1959, so now

he is (2020-1959)

=61 years old.

Answer:

It's a shared side???? It's a leg of a right triangle??? What are you specifically asking for? I need numbers

Step-by-step explanation:

Answer:

36.67

Step-by-step explanation:

when you solbe you get 36.667 then round to become 36.67

Answer:

37°C

Step-by-step explanation:

The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,

➳ C/5 = F -32/9

➳ C/5 = 98 - 32/9

➳ C/5 = 66/9

➳ C = 66/9 × 5

➳ C = 36.66 °C ≈ 37°C

Answer:

Yes, AA

Step-by-step explanation:

These triangles are similar because 2 angles in each triangle are congruent.

Answer:

72 is 45% of 160. I hope this helps :D

Same here love!! Remember that if the living environment can get dangerous that it's better to stay in the closet, but besides that Good luck!