Write the expression as a number in scientific notation.

the quantity 4.2 times ten to the fifth power end quantity times the quantity 1.5 times ten to the negative eighth power end quantity all divided by the quantity 2.5 times ten to the negative fourth power end quantity

2.52 × 10−1
2.52 × 101
3.2 × 10−7
3.2 × 107

Answer:

Step-by-step explanation:

7^x=22

take log of both sides

[tex]log(7)^x=log 22\\x log 7=log22\\x=\frac{log 22}{log7} \approx ~1.59[/tex]

Answer:

tan 0= -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-[tex]\frac{13}{12}[/tex]

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]

cosθ=[tex]\frac{12}{13}[/tex]

[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]

b=12

h=13

By using Pythagoras law

p=[tex] \sqrt{13²-12²}=5 [/tex]

Now

exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]

since it lies in II quadrant

tan θ=-[tex]\frac{5}{12}[/tex]

and

sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]

since it lies in II quadrant

sin θ=[tex]\frac{5}{13}[/tex]

Answer:

60

Step-by-step explanation:

he bought 6 so you need to subtract 6

which 36-6=30

and double 30 is 30

so its 60

Answer:

23/50 or 0.46

Step-by-step explanation:

probability of girls owning a bicycle 60/100=3/5

probability of girls no owning one is 1-3/5=2/5

same method for boys 70/100=7/10

probability for not is 3/10

to find the probability that only one does you would do..

(3/5*3/10)+(2/5*7/10)

which equals 23/50 or 0.46

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

1/2 ÷ 2 1/4

1/2 ÷ 9/4

1/2 x 4/9 = 4/18 = 2/9

Answer:

am not sure but I think is true. I am hopeful

Answer:

Step-by-step explanation:

Substitute to verify:

Answer:

if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden? AI Recommended Answer: The perimeter of the actual garden is 144 feet.

Step-by-step explanation:

Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : [tex]$750 \times 1.14=6855$[/tex]

Pounds to dollars : [tex]$750 \times 1.39=\$ 1042.5$[/tex]

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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Answer:

RM = 12 cm

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Assuming 20 is the hypotenuse cus there is no picture:

[tex]a^{2} + 16^{2} = 20^{2}[/tex]

[tex]a^{2} +256 = 400[/tex]

[tex]a^{2} = 144[/tex]

[tex]a=144[/tex]

If It's not the hypotenuse:

[tex]16^{2}+ 20^{2} =c^{2}[/tex]

[tex]256+400 =c^{2}[/tex]

[tex]656=c^{2}[/tex]

[tex]c = 25.61249695[/tex]

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

Answer:

D

Step-by-step explanation:

All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)

Answer:

D is the answer

Step-by-step explanation:

All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)

Answer:

The other complementary angle measures 40 degrees.

Step-by-step explanation:

Given that one of the angles of a pairs of complementary angles is 50 degrees, to find the ratio of the pair of complementary angles, the following calculation must be performed, knowing that the sum of two complementary angles is equal to 90 degrees:

X + 50 = 90

X = 90 - 50

X = 40

Therefore, the other complementary angle measures 40 degrees.

The equation that represents the sentence is y ÷ 6₄¹ = 11₄³

The word quotient is the outcome when dividend is divided by a divisor.

The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.

The number that is divided by other number is called dividend and this other number is called divisor.

11³₄ is the quotient of a number y and 6¹₄.

47/4 is the quotient of a number y and 25/4

hence, y is the dividend and 25/4 is the divisor

y ÷ 25/4 = 47/4

y × 4/25 = 47/4

y = 1175/16

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Answer:

defined for all w greater than or equal to 0 & z greater than or equal to 0

Step-by-step explanation:

The domain of value defined as w>0 and z>0. Therefore, option C is the correct answer.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The given function is P=11w+6z.

Since, P is profit here, consider w values greater than zero and z values also greater than zero.

Therefore, option C is the correct answer.

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Answer:

1)2 2)third 3)8

Step-by-step explanation:

So for the first one doubled just means times 2

for the second r³ means to the third power

for the last one all you do is put some values in and calculate the radius volume ratio which is, when the radius is doubled the volume is octupled (times 8)

would be amazing if you Marked this as brainliest

1 centimeter = 10 millimeters

Answer:

A. grant

that's the answer

The constant of proportionality is 3

Answer:

[tex]y = 19000x \\ 19000 = 1 \times 19000 \\ 114000 = 6 \times 114000 \\ 133000 = 7 \times 19000[/tex]

Step-by-step explanation:

a probability is always

desired cases / totally possible cases.

now in our case the totally possible area is the area of the triangle XYZ (when D = Z).

the desired case is the area of 20 (which contains also the possibilities of smaller areas).

so, the probability is 20/area.

now, let's find the area of XYZ :

Pythagoras tells us the length of the Hypotenuse :

XZ² = XY² + YZ² = 12² + 6² = 144 + 36 = 180

XZ = sqrt(180)

the area based on all 3 sides we get via Heron's formula

s = (a+b+c)/2

A = sqrt(s(s-a)(s-b)(s-c))

s = (12+6+sqrt(180))/2 = 9 + sqrt(180/4) = 9 + sqrt(45)

sqrt(180) = 2×sqrt(45)

A = sqrt((9+sqrt(45))(-3+sqrt(45))(3+sqrt(45))(9-sqrt(45)))

(a+b)(a-b) = a² - b²

so,

(9+sqrt(45))(9-sqrt(45)) = 81 - 45 = 36

(-3+sqrt(45))(3+sqrt(45)) = 45 - 9 = 36

A = sqrt(36×36) = 6×6 = 36

the probability that the area of XYD is max. 20 is

20/36 = 5/9

Answer:

its A

Step-by-step explanation:

On solving the value of provided question we can say that - the value of the slope intercept y = -3.

The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.

as we can see from graph that,

line passes through origin, so x= 0

the, y = -5x - 3

y = -3

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Answer:

Let x=number of girls in the class

Then x+27 =total number of students in the class

So our equation to solve is :

40% of (x+27)=x or

0.40(x+27)=x get rid of parens

0.40x+10.8=x subtract 0.40x from each side

0.40x-0.40x+10.8=x-0.40x collect like terms

Step-by-step explanation:

Dalisay hits the target more.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Kendra hits the target 3 times every 5 misses.

And, Dalisay hits the target 5 times every 7 misses.

Since, Kendra hits the target 3 times every 5 misses.

Hence, In 1 misses Kendra hits the target = 3/5 times

                                                               = 0.6 times

And,  Dalisay hits the target 5 times every 7 misses.

Hence,  In 1 misses Dalisay hits the target = 5/7 times

                                                               = 0.74 times

Thus, Dalisay hits the target more.

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Answer:

X=y-8................

Answer:

b. 6

Step-by-step explanation:

The standard deviation is 4.53 approximately 5. The standard deviation  tells how far the data is located from the mean.

The total number of observations= 30

So dividing 30/5 gives  6

Hence 6 intervals or categories used to test the hypothesis for this problem

as each category will have a data point in it .

So the best option is b.

Answer:

24 or uhm 44.6? i.d.k.

Step-by-step explanation:

The median of the given set {86, 24, 65, 65, 24, 24} is 44.5.

To find the median of the given set of numbers: 86, 24, 65, 65, 24, 24, we need to first arrange the numbers in ascending order:

24, 24, 24, 65, 65, 86

Now, there are six numbers in the set. Since there is an even number of data points, the median is the average of the two middlemost values.

The two middlemost values are 24 and 65.

Median = (24 + 65) / 2 = 89 / 2 = 44.5

So, the median of the given set is 44.5.

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Answer: To compare the level of support for the new after-school club between teachers and students, we can calculate the percentage of individuals in each group that responded "yes" to the proposal.

For teachers: 13 out of 20 is equivalent to 13/20 = 0.65 or 65%

For students: 37 out of 50 is equivalent to 37/50 = 0.74 or 74%

Based on the percentage of individuals in each group that responded "yes," we can see that students are more in favor of the new after-school club than teachers. 74% of students responded "yes" to the proposal, while only 65% of teachers responded "yes."

It's worth mentioning that it's important to keep in mind that this comparison is based on the sample size of teachers and students that responded to the survey and not the whole population, also if the sample size isn't representative of the population and not randomly selected it can't be generalized.

Step-by-step explanation:

Answer:

83°

Step-by-step explanation:

-4m+51-4m+42= 158°

-8m+94= 158

-8m= 64

m= -8

JMK= -4m+51

      = -4(-8)+51

      = 32=51

      = 83°

Answer:

24,429 cubic inches

YWW:)

Answer:

A geometric sequence is a sequence of numbers such that the ratio of any two consecutive terms is always the same. This ratio is called the common ratio of the sequence.

In this case, the common ratio is 3/2 and the first term is 6. The nth term of a geometric sequence can be found using the formula:

a_n = a_1 * r^(n-1)

where a_n is the nth term, a_1 is the first term, and r is the common ratio.

Substituting the given values, we have:

a_8 = 6 * (3/2)^(8-1) = 6 * (3/2)^7

Calculating, we find that the 8th term is:

a_8 = 6 * (3/2)^7 = 6 * (9/2) = 27

Therefore, the 8th term is 27.

Step-by-step explanation: