Does the ratio 4/7 to 8/9 has a unit rate of 9/14

Answer:

-19

Step-by-step explanation:

18=-20-2b

18+20=-2b

38=-2b

b=-19

Answer:

hi, bye

Step-by-step explanation:

Thx for the free points! ;)

Answer:

0.25

Step-by-step explanation:

0.5x 0.5= 0.25

Answer:

On edge, its 0.25. trust me I just finished the test.

Step-by-step explanation:

Answer:150?

Step-by-step explanation:

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

792/7 is the correct answer

Step-by-step explanation:

V=4/3pi r^3

=4/3×22/7×3x×3x×3x

=88×9x÷7=792/7

The exact values for sin(2x), cos(2x) and tan(2x) without solving for x  4√5 /9, -1/9 and -4√5  respectively

Given:  cos(x)= 2/3 and x is in quadrant IIn trigonometry, cos(x) = adjacent/hypotenuse = 2/3.

adjacent = 2

hypotenuse = 3

Here, we will find the opposite

opposite =√(3²-2²) = √5

sin(x) = (√5)/3   (opp./hyp.)cos(x) = 2/3    

(adj./hyp.)tan(x) = (√5)/2 (opp./adj.)

Using trigonometry identity:

sin(2x)  = 2sin(x)cos(x) sin(2x)  

= 2× (√5)/3 × 2/3sin(2x)  

=  4√5 /9cos(2x) = 2cos²(x) - 1

cos(2x) = 2(2/3)² -1cos(2x) = -1/9

Also, we will find the exact value for tan.

tan(2x) = 2tan(x) / 1-tan²(x)tan(2x) = (2(√5))/2 / 1-((√5)/2)²

tan(2x) = √5 / (-1/4)

tan(2x) = -4√5

Therefore, the exact values are given above.

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Answer:

x = 4

Step-by-step explanation:

3x + 2 = 14

→ 3x = 14 - 2

→ 3x = 12

→ x = 12/3

→ x = 4

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W=Vpg is the equation showing weight (W) equals that does not require knowing the mass (m) to solve

The weight of an object is the force acting on the object due to gravity.

Given that he weight of an object equals its mass times the acceleration due to gravity (g),

which we can express like this: W = mg.

The mass (m) of an object equals its volume times its density, which we can express like this: m = Vp.

We need to find an equation showing what weight (W) equals that does not require knowing the mass (m) to solve.

W=mg...(1)

m=Vp---(2)

Substitute equation 2 in 1.

W=Vpg

Hence, W=Vpg is the equation showing weight (W) equals that does not require knowing the mass (m) to solve.

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Answer:

Whole numbers less than 5 may be termed as Rational numbers.

Answer:

x = 3 and x = -7

Step-by-step explanation:

Solving :

⇒ x² + 4x - 21 = 0

⇒ x² + 7x - 3x - 21 = 0

⇒ x(x + 7) - 3(x + 7) = 0

⇒ (x - 3)(x + 7) = 0

⇒ x = 3 and x = -7

Answer:

\(x=3,\:x=-7\)

Key:

• When doing a quadratic equation, one thing you must always know going into the equation is that you will have more than one answer.

Step-by-step explanation:

\(x^2+4x-21=0\\For\:\rightarrow\quad a=1,\:b=4,\:c=-21\\x_{1,\:2}=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \left(-21\right)}}{2\cdot \:1}\\\sqrt{4^2-4\cdot \:1\cdot \left(-21\right)}\\=\sqrt{4^2+4\cdot \:1\cdot \:21}\\=\sqrt{4^2+84}\\=\sqrt{16+84}\\=\sqrt{100}\\=\sqrt{10^2}\\=10\\x_{1,\:2}=\frac{-4\pm \:10}{2\cdot \:1}\\x_1=\frac{-4+10}{2\cdot \:1},\:x_2=\frac{-4-10}{2\cdot \:1}\)

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Optional: Solve for x₁ and x₂

(x₁)

\(\frac{-4+10}{2\cdot \:1}\\=\frac{6}{2\cdot \:1}\\=\frac{6}{2}\\=3\)

(x₂)

\(\frac{-4-10}{2\cdot \:1}\\=\frac{-14}{2\cdot \:1}\\=\frac{-14}{2}\\=-\frac{14}{2}\\=-7\)

Answer:

we get a population density of 85 fish per square mile.

Step-by-step explanation:

The population density of the fish in the lake is the number of fish per unit area. To find the population density, we need to calculate the area of the circular lake.

The radius of the circular lake is half of the diameter, which is approximately 7.5 miles. Using the formula for the area of a circle (A = πr^2), we can find the area of the lake:

A = π * (7.5 miles)^2 ≈ 176.71 square miles

Now we can find the population density by dividing the number of fish by the area:

Population density = 15000 fish / 176.71 square miles ≈ 85 fish per square mile

Rounding to the nearest whole number, we get a population density of 85 fish per square mile.

The population density of the lake is approximately 85 fish per square mile, calculated by dividing the total number of fish (15000) by the area of the lake (176.71 square miles)

The population density of fish in the lake is calculated by dividing the total number of fish by the area of the lake. The area of a circle can be calculated using the formula πr², where r is the radius. Given that the diameter is 15 miles, the radius would be half that, which is 7.5 miles. Thus, the area of the lake would be π * (7.5)² = 176.71 square miles. Therefore, the population density, rounding to the nearest whole number, is 15000 fish divided by 176.71 square miles, which equals 85 fish per square mile.

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Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

15.16 miles

Step-by-step explanation:

We Take

37.9 / 2.5 = 15.16 miles

So, the car drive 15.16 miles per gallon of gasoline.

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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Answer:

The average rate of change

\(\frac{dh}{d t} = 70 (1) - 16(2t)\)

At   t = 1

\(\frac{dh}{d t} = 70 (1) - 16(2t) = 38\)

at t=3



Step-by-step explanation:

Step(I):-

The given function  h(t) = 3+70t - 16t²

                          \(\frac{dh}{d t} = 70 (1) - 16(2t)\)

The       \(\frac{dh}{d t} = 70 (1) - 16(2t) =0\)

           70 - 32 t = 0

     ⇒   70 = 32 t

   ⇒     \(t = \frac{70}{32} = \frac{35}{16}\)

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

\(\frac{dh}{d t} = 70 (1) - 16(2t)\)

At   t = 1

\(\frac{dh}{d t} = 70 (1) - 16(2t) = 38\)

At t = 3



a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

C. Addition Property of Equality

Step-by-step explanation:

Given,

x - 6 = 4

To find x, the addition property of equality is applied by adding 6 to both sides.

Thus:

x - 6 + 6 = 4 + 6

x = 10

Answer:

This is a binomial experiment .

Step-by-step explanation:

As the percent is not indicated the success is the amount of percent (if given) say it is 10 % . So p will be equal to = 0.1 and q will be = 1-0.1= 0.9

and n would be five or any number as a binomial experiment is repeated for a fixed number of times.

And x would take any value of n i.e.

X= 0,1,2,3,4,5

If it is 20 % . So p will be equal to = 0.2 and q will be = 1-0.2= 0.8

The probability is the number of the percent indicated. But as it is not indicated we assume it to be 10 % or 20 % .Or suppose any number for it to be a binomial experiment.

The number of trials n would be fixed .

The success remains constant for all trials.

All trials are independent.

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

A piece of material measures 38 inches.

Courtney cuts the piece of material into two pieces.

One piece measures 19 inches.

Let x be the length of other pieces.

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x

Therefore, 19 + x = 38 is an addition equation.

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Answer:

Answer B

Step-by-step explanation:

√2 * √8 * √4

√8 = √(2*2*2)

√8 = 2√2

√4=2

√2* 2√2 *2

2*2*2

B

The area of the shaded region is given as follows:

0.0475.

Here, we have to obtain probabilities using the normal distribution:

The z-score of a measure X of a variable that has mean symbolized by  and standard deviation symbolized by  is obtained by the rule presented as follows:

Z = X - μ / σ

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.

Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.

The mean and the standard deviation for the IQ scores are given as follows:

μ = 100, σ = 15

The shaded region is the area to the right of 125, hence it's area is one subtracted by the p-value of Z when X = 125, hence:

Z = (125 - 100)/15

Z = 1.67

Z = 1.67 has a p-value of 0.9525.

Hence:

1 - 0.9525 = 0.0475.

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Missing Information

The shaded region is the area to the right of 125.

Answer: A

Step-by-step explanation:

\(-\frac{4}{x}+1=0\\\\1=\frac{4}{x}\\\\x=4\)

Answer:

They are similar

Step-by-step explanation:

If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.

This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:

LM/LQ = LN/LP

LM = 100

LQ = 12

LN = 75

LP = 9

LM/LQ = 100/12 = 25/3

LN/LP = 75/9 = 25/3

LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.

Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer:

The order of operations says that operations must be done in the following order: parentheses, exponents, multiplication, division, addition, and subtraction. You can also create a little phrase to go along with this, like "Please Excuse My Dear Aunt Sally." Whatever you choose, make sure that you know all six steps of the order of operations very well. The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.

Step-by-step explanation:

hope this helps :)

Answer:

salary increases by $ 10 every hour