When Mr. Wagner preheated his oven, the oven's temperature rose 3 degrees in 1/6
of a minute. At that rate, how much will the oven heat up in 1 minute?

7h-15h+40=-72

40+72=15h-7h

112=8h

h=14

Answer:

r = -51/76

Step-by-step explanation:

11( 8r+ 3) - 2(-9 + 6r)

76 r + 51

r = -51/76

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The percentage of attorneys in given range is approximately 50%.

The boxplot below represents the salaries of attorneys in Los Angeles.

We can estimate the percentage of attorneys who have salaries between $55,000 and $80,000 by counting the number of boxes between the range (called the interquartile range, or IQR), which is from $55,000 to $80,000.

There are two boxes within the range, and two boxes that are not within the range (called the lower and upper outliers).

Thus, the percentage of attorneys with salaries between $55,000 and $80,000 is approximately 50%.

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The pair of hypotheses used to test if the mean of the first population is smaller than the mean of the second population, using independent random sampling, is H0: µ1-µ2 ≥ 0 and HA: µ1-µ2 < 0.

The given pair of hypotheses represents a one-tailed test where we are interested in determining if the mean of the first population (µ1) is smaller than the mean of the second population (µ2).

The null hypothesis (H0) states that the difference between the means, represented by (µ1-µ2), is greater than or equal to zero. This means that there is no significant difference between the means or that the mean of the first population is equal to or greater than the mean of the second population.

The alternative hypothesis (HA) states that the difference between the means, represented by (µ1-µ2), is less than zero. This suggests that there is a significant difference between the means and specifically indicates that the mean of the first population is smaller than the mean of the second population.

By conducting a statistical test, such as a t-test or z-test, and analyzing the results, we can evaluate the evidence and make an inference regarding the relationship between the means of the two populations based on the given pair of hypotheses.

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Need To Find:

Using formula:

Where,

Solution:

→ Volume = π × 8 × 8 × 15

→ Volume = π × 64 × 15

→ Volume = π × 960

→ Volume = 22/7 × 960

→ Volume = 3016 cm^3 (approx)

Hence,

Answer:

Figure three is the odd one out

Step-by-step explanation:

it is different from the other figures. The other figures are all the same, they're just rotated. Figure three is different from all of them though

Answer:

its the first one

Step-by-step explanation:

you want to take the x and 7 and put them together an then you add a zero behind the = sign

Answer:

it's the third one.

Step-by-step explanation:

9 (7) = 63

There are 36^10 ways  that contain only digits and lower-case letters and having the length is 10.

What is password?

A password, also known as a passcode, is private information that typically consists of a string of characters and is used to verify a user's identity.

We have to find the number of ways that contain only digits and lower-case letters and having the length is 10.

Since, there are total 10 digits from '0 to 9' and 26 lower case letters from

'a to z'.

The 10 slots in the password can be anything - digits as lower case letters.

that is,

10 + 26 = 36 options for each slot.

So, the total number of ways are, 36^10.

Hence, there are 36^10 ways  that contain only digits and lower-case letters and having the length is 10.

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Hey there!

Since the question is given under 'Mathematics', the word simplification will refer to the way we reduce (simplify) the terms in an algebraic expression or equations into simpler (smaller) forms for better understanding.

Hope it helps ya!

Answer:

What-?

\(\(\purple{\rule{45pt}{1000000pt}}\tex\)

Part A:  yes, p = 7/2 g;

Part B: no, p = g+3.

Fractions play a major role in the explanation of ratio and proportion. At the point when a division is addressed as a: b, in which case it is a ratio, whereas a proportion asserts that two ratios are equal. A and b are any two integers in this case. The ratio and proportion are two crucial concepts that serve as the foundation for comprehending a variety of scientific and mathematical concepts.

Given tables for different beads for picture frame,

Mia's picture frame

Green beads     2   4   6    8   10  

purple beads     7  14  21  28  35

Part A:  since   2/7  = 4/ 14 =  6/21  =  8/28  =  10/35 =  2/7

so the beads are in proportion,

since 2/7  = g/p, where p = purple beads and g = green beads

p = 7/2 g.

Part B Riley's picture frame

Green beads     5   10   15    20   25  

purple beads     8   13    18   23   28

now  5/8  ≠  10/13   ≠  15/18  ≠  20/23  ≠ 25/28

the ratio of green beads are not equal so they are not in proportion,

but they are linear (10 - 5)/(13 - 8)  = (15 - 10)/(18 - 13)  = (20 - 15)/(23 - 18)  =1

let the equation be (g + a= p), where  p = purple beads and g = green beads and a, is constant, as we find that purple beads are 3 more than green the equation is  p =  g + 3

Hence beads in Mia's picture frames are in proportion and not in proportion for Riley's picture frames, and equation for Mia's picture frames is p = 7/2 g, and for Riley's picture frames is   p =  g + 3.

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Tertiary consumers are one level above primary producers in a food chain. In a food chain, the transfer of energy and nutrients occurs from one trophic level to another.

The trophic levels are categorized into producers, primary consumers, secondary consumers, and tertiary consumers.

Primary producers, such as plants or algae, are the first trophic level in a food chain. They convert energy from sunlight into organic matter through photosynthesis. Primary consumers, also known as herbivores, are the organisms that feed directly on primary producers.

Secondary consumers are the next trophic level and they feed on primary consumers. They are usually carnivores or omnivores that consume herbivores.

Finally, tertiary consumers occupy the highest trophic level in a food chain. They are the top predators that feed on secondary consumers. These can include large carnivores or even apex predators.

Therefore, tertiary consumers are one level above primary producers in the food chain. They represent the organisms that obtain energy by consuming other organisms higher up in the trophic hierarchy.

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Answer:

59 degrees

Step-by-step explanation:

Inscibed angles in a circle encompass TWICE their value of arc degrees

2x = 118

x = 59 degrees

Answer:

The y-intercept is +2

using y=mx+b we can tell anything added is the intercept.

+2

Step-by-step explanation:

We know the standard equation is

y = mx + c

where m is the slope and c is the y-intercept.

By Comparing the given equation with the standard equation we get,

y-intercept = +2

Answer:

No solution

Step-by-step explanation:

Basically the simplified equation is 17 = 0, which is wrong so there is no solution.

Answer:

148

Step-by-step explanation:

first plug in w(x) into u(x):

u(w(x)) = 5(-5(x)+4)+3

then plug in -5 for x:

u(w(-5)) = 5(-5(-5)+4)+3

solve:

= 148

This is a composite function:

Composite functions are are functions that are written within each other like f(g(x).

To solve this problem, first solve the function within u(x), which would be w(x)

w(-5) = -5(-5) -4

        = 25 - 4

       = 21

Now, plug in that value into u(x) to get your final answer:

u(21) = 5(21) +3

         = 105 +3

       = 108

Answer: u(w(-5) = 108

Answer:B

Step-by-step explanation:

Mark two points;  (3,3)  & (0 , 1)

\(Slope =\dfrac{1-3}{0-3}\\\\=\dfrac{-2}{-3}\\\\\=\dfrac{2}{3}\)

y = mx + b

Plugin x = 0 and y = 1

1 = 0 + b

1 = b

\(y=\dfrac{2}{3}x+1\)

Answer:

Step-by-step explanation:

#keep learning!!

Now,

10 millions = 1 crore

20 millions = 1/10*20

= 2 crore

I hope it's help you...

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Answer: 12.96 and 8.87 units respectively

Step-by-step explanation:

The sine rule states that the ratio between a side of a triangle and the sine of the angle opposing the side will be equal for all three sides of the same triangle.

For Q20, we can get the equation \(\frac{19}{sin(90)} = \frac{x}{sin(43)}\) and from here we can solve for x which is 12.96 so the answer to Q20 is 12.96 units.

For Q21, the angle opposite of x can be found by summing up the two known angles and subtracting that from 180° to get 43°. From here, we can get the equation  \(\frac{13}{sin(90)} = \frac{x}{sin(43)}\) and solve for x which is 8.87 so the answer to Q21 is 8.87 units

Answer:

(a) \(U_1 =5\); \(U_2 = 8\); \(U_{18} = 328\)

(b) \(U_1 = 11\); \(U_2 =17\); \(U_{18} = 113\)

Step-by-step explanation:

Required

1st, 2nd and 18th terms

To do this, we simply substitute 1, 2 or 18 for n in the given equations

Solving (a):

\(U_n =n^2 + 4\)

1st term: n = 1

\(U_1 =1^2 + 4\)

\(U_1 =1 + 4\)

\(U_1 =5\)

2nd term: n = 2

\(U_2 = 2^2 + 4\)

\(U_2 = 4 + 4\)

\(U_2 = 8\)

18th term: n = 18

\(U_{18} = 18^2 + 4\)

\(U_{18} = 324 + 4\)

\(U_{18} = 328\)

Solving (b):

\(U_n = 6n + 5\)

1st term: n = 1

\(U_1 = 6*1 + 5\)

\(U_1 = 6 + 5\)

\(U_1 = 11\)

2nd term: n = 2

\(U_2 = 6*2 + 5\)

\(U_2 =12 + 5\)

\(U_2 =17\)

18th term: n = 18

\(U_{18} = 6*18 + 5\)

\(U_{18} = 108 + 5\)

\(U_{18} = 113\)

Answer:

1/x⁴

Step-by-step explanation:

=16(1/2x)⁴

=16(1/16x⁴)

=16×1/16x⁴(16 cancels)

=1/x⁴

Answer:

me

Step-by-step explanation:

Answer:

I can try to help whats ur question?

Answer:

x = -1

Step-by-step explanation:

Answer:

\(\left|\frac{x}{3} \right|-1\)

Step-by-step explanation:

\(g(x)=\frac{1}{3}f(x)=\left|\frac{x}{3} \right|-1\)

     a + d  =  20 is non-equilateral triangles with a perimeter .

The equilateral triangle's definition?

All of the angles in an equilateral triangle's sides are equal in length, which is referred to as congruence. Additionally, each inside angle is identical (60 degrees).

                      Equilateral is a compound word made up of the words "equi," which means equal, and "lateral," which means side. As a result, an equilateral triangle is one with equal sides.

let the sides by a, a+d, a+2d    where a and d are both positive integers and d>0

   a + a + d + a + 2d = 60

            3a + 3d = 60

              a + d  =  20

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Answer:

The answer is ≤-3.3

Step-by-step explanation:

If you multiply -3.3 x -2 it will give you 9.99 anything above that would go past 10.

So the answer is less than or equal to -3.3 because this number or anything below it on a number line multiplied by -3 will never go past 10.

Hope this helps!

The value of function f is f(x) = -2 + 6 x + 24 x².

Given information is as follows:

f(x)-B+6 x+24 x^{2}

From question, we know that,

f(0) = 2

Let's find f(0) by putting x = 0 in the given equation as follows:

\[f(0) - B + 6(0) + 24(0)^2 = 2\]

or,

\[f(0) - B = 2\]

or,

\[B = f(0) - 2\]

So, B = 0 - 2

= -2

Now, we know that

f(1)-13

Let's find f(1) by putting x = 1 in the given equation as follows:

\[f(1) - (-2) + 6(1) + 24(1)^2 = 13\]

or,

\[f(1) = 13 - 2 - 6 - 24 = -19\]

So, \[f(x) = -2 + 6 x + 24 x^2\]

Conclusion: Therefore, the value of f is f(x) = -2 + 6 x + 24 x².

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Answer:

s = 5\(\sqrt{6}\)

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos30° = \(\frac{\sqrt{3} }{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{s}{10\sqrt{2} }\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2s = 10\(\sqrt{2}\) × \(\sqrt{3}\) = 10\(\sqrt{6}\) ( divide both sides by 2 )

s = 5\(\sqrt{6}\)

Step-by-step explanation:

\(\large\underline{\sf{Solution-}}\)

Given that lines makes an angle α, β, γ with x - axis, y - axis and z - axis respectively.

So, By definition of direction cosines,

\(\rm :\longmapsto\:l = cos \alpha \)

\(\rm :\longmapsto\:m = cos \beta \)

\(\rm :\longmapsto\:n = cos \gamma \)

So,

\(\rm :\longmapsto\: {l}^{2} + {m}^{2} + {n}^{2} = 1\)

\(\rm :\longmapsto\: {cos}^{2} \alpha + {cos}^{2} \beta + {cos}^{2} \gamma = 1\)

On multiply by 2 on both sides we get

\(\rm :\longmapsto\: 2{cos}^{2} \alpha + 2{cos}^{2} \beta + 2 {cos}^{2} \gamma = 2\)

can be further rewritten as

\(\rm :\longmapsto\: 2{cos}^{2} \alpha - 1 + 1 + 2{cos}^{2} \beta - 1 + 1 + 2 {cos}^{2} \gamma - 1 + 1 = 2\)

\(\rm :\longmapsto\: (2{cos}^{2} \alpha - 1)+ (2{cos}^{2} \beta - 1)+ (2 {cos}^{2} \gamma - 1) + 3= 2\)

\(\rm :\longmapsto\:cos2 \alpha + cos2 \beta + cos2 \gamma + 3= 2\)

\( \red{ \bigg\{ \sf \: \because \: cos2x = {2cos}^{2}x - 1 \bigg\}}\)

\(\rm :\longmapsto\:cos2 \alpha + cos2 \beta + cos2 \gamma= 2 - 3\)

\(\rm :\longmapsto\:cos2 \alpha + cos2 \beta + cos2 \gamma= - 1\)

Hence,

\(\bf\implies \:\boxed{\tt{ \: cos2 \alpha + cos2 \beta + cos2 \gamma = - 1 \: }}\)

So, option (d) is correct.

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Direction cosines of a line segment is defined as the cosines of the angle which a line makes with the positive direction of respective axis.

The scalar components of unit vector always give direction cosines.

The scalar components of a vector gives direction ratios.

The gradient of the tangent to the curve y = 5x³ + 3x² - x + 4​ is 15x²+6x-1.

A differential operator is used for a function having a vector value in three dimensions to produce a vector whose three components are the partial derivatives of the function with respect to its three variables.

The given equation for the curve is;

y = 5x³ + 3x² - x + 4​

The gradient of the tangent to the curve is;

\(\rm y'=\frac{dy}{dx} \\\\ y'= 5x^3 + 3x^2- x + 4 \\\\\ y'=15x^2+6x-1\)

Hence,the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4​ is 15x²+6x-1.

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