which of the following has virtually no effect on the structure of a planet? its size its mass its magnetic field its composition

Answer:

the answer is b

−5(+2) uh

Hope thats correct have a great day

Answer:

um not really sure

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

you can write two linear equations and then set them equal to each other to see when they intersect. so for the first equation which will be representing the junior space cadets distance from his house. this can be written as

d = 50t + 50

where t represents time and d represents distance. there is 50 being added to the equation since he had already been traveling for an hour

the second equation which will represent his sister Gwen can be represented as

d = 75t

Now we set them equal to each other

50t + 50 = 75t

50 = 25t

2 = t

If you want to round a number within an arithmetic expression, you should use the ROUND function.

The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.

The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.

Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.

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Answer: A)= 0.453

B)=0.00000712

Step-by-step explanation:

Ummm,,,I used calculator so i dont know I’f it’s right lol

Answer:

A: 0.453

B: 0.00000712

Step-by-step explanation:

When a there is a 10 that’s raise to the negative power, all you need to do is shift the decimal from the number to the left based on the number of the exponent. So for 453 x 10^-3, shift the decimal from 453 to the left 3 times to get 0.453. For 712 x 10^-8, shift the decimal from 712 to the left 8 times to get 0.00000712.

Hope this helped! :)

Answer:

2/5

Step-by-step explanation:

2/5=4/10

Answer:

2/5 is great because it's 40%

3/10 is 30%

so 2/5 is greater

Answer:

36

Step-by-step explanation:

Same side

Answer:

Step-by-step explanation:

a is supplementary with 36 and b is supplementary with 113. Same side interior angles.

Supplementary angles sum to 180°

Answer:

13841287201

Step-by-step explanation

7×7×7×7×7×7×7×7×7×7×7×7=13841287201

Answer:

7

×

7

×

7

×

7

×

7

=

7

5

Step-by-step explanation:

It took both Sandy and Tom 54 seconds to cover the same distance.

We can set up an equation based on their relative speed

Take the supposition that Tom needs "t" seconds to travel the distance. Sandy started jogging 12 seconds before Tom, so it will take her "t + 12" seconds longer to complete the same distance.

To determine the distance traveled by Sandy, multiply her speed (7 meters per second) by her time (t + 12) seconds. Tom's distance traveled may be determined by dividing his speed (9 meters per second) by his time (t) seconds.

Equating the distances covered by Sandy and Tom:

7(t + 12) = 9t

Expanding the equation:

7t + 84 = 9t

Subtracting 7t from both sides:

84 = 2t

Dividing both sides by 2:

t = 42

Tom traveled the distance in 42 seconds as a result. We add the 12-second lead Sandy had to determine the time it took for both Sandy and Tom to travel the same distance:

t + 12 = 42 + 12 = 54

So, it took both Sandy and Tom 54 seconds to cover the same distance.

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Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

y=2 ,x=5

Step-by-step explanation:

(x-coordinate, y-coordinate)

Therefore,

3x-2y=11 ⇒ 1st equation

x+y=7 ⇒ x=7-y ⇒2nd equation

Sub 2nd equation into 1st equation,

3(7-y) - 2y=11

21-3y-2y=11

-5y=11-21

y=2

Sub back to 2nd equation,

x=7-2=5

Answer:

x = 5 , y = 2

Step-by-step explanation:

Equate corresponding coordinates in both ordered pairs

3x - 2y = 11 → (1)

x + y = 7 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate y

2x + 2y = 14 → (3)

Add (1) and (3) term by term to eliminate y

5x + 0 = 25

5x = 25 ( divide both sides by 5 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + y = 7 ( subtract 5 from both sides )

y = 2

Based on the formula \(C (t) = 0.8 (1.2)^{t}\) it is expected for the concentration of organisms to increase over time (third option).

To determine how the formula or function affects the number of organisms, let's use two different times in order to compare the results:

C (t) = 0.8 (1.2)^{t}

Let's find out the concentration of organisms with the times 2 and 5:

2:

C (t) = 0.8 (1.2)^{2}

C (t) = 0.8 x 1.44 = 1.152

5:

C (t) = 0.8 (1.2)^{5}

C (t) = 0.8 x 2.48 = 1.99

Based on this, it can be concluded that as time increases the concentration increases too.

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Answer:

Step-by-step explanation:

do the thing times 2

To produce 36% solution, 50 gallons of pure acid should be added to 480 gallons of 22% acid solution.

To solve the problem find out how many gallons of acid are there in the 22% solution

           480*0.22= 105.6

       Let the amount of pure acid required to produce 36% solution be x gallons.

        So, the total amount of acid in the new solution will be

         480 + x.

 Write the equation for concentration:

    (Total acid in the new solution)/ (Total volume of new solution) = 36/100

       Using the above equation, we get;

        [105.6+x]/[480+x] = 36/100

  Cross multiply and simplify, we get;

       3600 + 100x = 423.6 + 36x63.6x

                              = 3176.4x

                              = 3176.4/63.6x

                           x = 50

        Therefore, the amount of pure acid required to produce 36% solution is 50 gallons.

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x=-3

-6x + 8 + 3x = 17

-3x + 8 = 17

-3x = 17 - 8

-3x=9

x=-9/3

x=-3

Answer:

Each person should share 1 and 1/2

Answer/Step-by-step explanation:

5.000 is already a percentage all you have to do is put a percentage sign after taking the decimals and zeros of the end. This is because 5.000 = 5 and 5/100 = 5%.

Answer:

i think the answer is -5

Step-by-step explanation:

Answer:

7.7 km

Explanation:

Use cosine rule as here given two sides and one angle.

Cosine rule states:

a² = b² + c² - 2bc cos(A)

While solving, treat a = 7.5 km as to that opposite angle is given of 68°

then b = missing side, c = 5.2 km, A = 68°

Applying rule:

7.5² = b² + 5.2² - 2(b)(5.2) cos(68)

56.25 = b² + 27.04 - 3.8959b

56.25 - 27.04 = b² - 3.8959b

b² - 3.8959b = 29.21

b² - 3.8959b - 29.21 = 0

apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]

\(\sf b = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad\:when \:\ ax^2 + bx + c = 0\)

\(\sf b = \dfrac{ -(-3.8959) \pm \sqrt{(-3.8959)^2 - 4(1)(-29.21)}}{2(1)}\)

\(\sf b = 7.69 291 \quad or \quad b = -3.797\)

\(\sf b = 7.7 \quad (rounded \ to \ nearest \ tenth)\)

As length cannot be negative. Hence the value of b is only 7.7 km

The answer is 7.7 km.

Let's apply the Cosine Law in this situation.

a² = b² + c² - 2bc cos(A)

Now, substitute the values based on the given diagram.

Here, using the Quadratic Equation, we can solve :

the z test statistic value is 7.07, sample provides evidence to support the claim that newborn babies are more likely to be boys than girls.

To determine whether this sample evidence supports the idea that the birth of boys is more common than the birth of girls in the entire population, we need to conduct a hypothesis test.
Our null hypothesis (H0) is that the proportion of boys born is equal to the proportion of girls born in the entire population, while the alternative hypothesis (H1) is that the proportion of boys born is greater than the proportion of girls born.
To test these hypotheses, we can use a z-test. The formula for the z-test statistic is:
z = (p - P) / \(\sqrt{(P(1 - P)}\) / n)
where p is the sample proportion, P is the hypothesized proportion under the null hypothesis, and n is the sample size.
In this case, our hypothesized proportion under the null hypothesis is 0.5 (since we are assuming that the proportion of boys and girls born is equal in the entire population). Plugging in the values, we get:
z = (0.56 - 0.5) / \(\sqrt{(0.5(1 - 0.5)}\) / 2876) ≈ 7.07
Since the z-test statistic is much larger than 1.96 (the critical value for a two-tailed test at a 5% level of significance), we can reject the null hypothesis and conclude that the proportion of boys born is significantly greater than the proportion of girls born in the entire population.

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Answer:

$1.5

Step-by-step explanation:

$7- 5.50= 1.5

The average number of items produced daily in the first 10 days is 36.

Among the provided answer options, the closest value is:

D) 38.

To find the average number of items produced daily in the first 10 days, we need to calculate the average of the number of items produced each day during that period.

The given formula states that the number of items produced daily after t days on the job is given by 25 + 2t.

To find the average number of items produced daily in the first 10 days, we sum up the values for each day and divide by the number of days.

Let's calculate the average:

Average = (25 + 2(1) + 25 + 2(2) + ... + 25 + 2(10)) / 10

= (25 + 2 + 25 + 4 + ... + 25 + 20) / 10

= (10(25) + 2 + 4 + ... + 20) / 10

= (250 + (2 + 4 + ... + 20)) / 10.

We can rewrite the sum (2 + 4 + ... + 20) as the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

= (10/2)(2 + 20)

= 5(22)

= 110.

Substituting this value back into the average equation:

Average = (250 + 110) / 10

= 360 / 10

= 36.

Therefore, the average number of items produced daily in the first 10 days is 36.

Among the provided answer options, the closest value is:

D) 38.

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Answer:

Step-by-step explanation:

16y² - 24y + 9 = 16(y-0.75)² = (4y-3)²

Answer:

16y² - 24y + 9

Step-by-step explanation:

=============================================

Explanation:

Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.

Since base angle C is 35 degrees, that makes base angle T this measure as well.

-----------

We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.

Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.

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

Recall that for any quadrilateral, the interior angles always add to 360

let x be the measure of angle O, aka angle QOT

P+T+O+Q = 360

60+145+x+90 = 360

x+295 = 360

x = 360-295

x = 65

Therefore, angle QOT is 65 degrees

Answer:

13 , 24 , 14

Step-by-step explanation:

Note that technically there are two patterns. Each one adds 1.

The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.

The second pattern starts with 22. The 4th number is 23, which means the sixth number will be 24.

~

Easy, it's going by adding 11's 11+11=22 than it subtracts by 10=12 and it keeps repeating until it's done.

The value of variable x that makes -4x-(-10 - 8x) = -(12x-14) true is 1/4. thus, option c is correct.

In algebra, a symbol known as a variable (typically a letter) is used to represent an equation's undetermined numerical value. Frequently used variables include t, r, and s, as well as X and Y, which are real-number unknowns, as well as z, which is a complex-number unknown (arc length).

Given

-4x-(-10 - 8x) = -(12x-14)

-4x + 10 + 8x = -12x + 14

4x + 10 = 14 - 12x

4x + 12x = 14 - 10

16x = 4

x = 4/16

x = 1/4

Thus, Option C is correct, x = 1/4

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Answer:

C

Step-by-step explanation:

substitute x = 5 into f(x) , that is

f(5) = \(2^{5}\) = 2 × 2 × 2 × 2 × 2 = 4 × 4 × 2 = 16 × 2 = 32

Janelle buys 1 pound of raspberries, she can buy a maximum of 4.625 pounds of blackberries.

Let's assume Janelle wants to buy blackberries and raspberries and has a maximum budget of $40. We need to find the maximum amount of fruit she can purchase while staying within her budget.

Let's denote the pounds of blackberries as "b" and the pounds of raspberries as "r." The cost of blackberries is $8 per pound, and the cost of raspberries is $9 per pound.

Based on this information, we can set up the following equations:

8b + 9r ≤ 40 (Total cost of blackberries and raspberries should be less than or equal to $40)

b, r ≥ 0 (Pounds of blackberries and raspberries should be non-negative)

To find the maximum amount of fruit Janelle can buy, we need to find the values of b and r that satisfy the given conditions.

There are various methods to solve this problem, such as graphing, substitution, or elimination. Let's use the substitution method:

We can rearrange the first equation as:

8b ≤ 40 - 9r

b ≤ (40 - 9r)/8

Since b and r should be non-negative, we can consider different values of r and substitute them into the equation to find the corresponding maximum values of b.

For example, if we assume r = 0, the equation becomes:

b ≤ (40 - 9(0))/8

b ≤ 5

So, if Janelle buys 0 pounds of raspberries, she can buy a maximum of 5 pounds of blackberries.

Similarly, for r = 1:

b ≤ (40 - 9(1))/8

b ≤ 4.625

Therefore, if Janelle buys 1 pound of raspberries, she can buy a maximum of 4.625 pounds of blackberries.

By exploring different values of r within the given constraints, we can determine various combinations of blackberries and raspberries that Janelle can purchase while staying within her $40 budget.

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In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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