The larger of two numbers is 17 more than the smaller number. The sum of the two numbers is 71.

Total surface area of cylinder :

[(22/7)(7)²] × 2 ( area for 2 circles )

+

[ 2(22/7)(7) ] ×12 ( circumference of circle × height )

=

836 cm²

i hope my solution helps :))

The correct answer is A. s ≠ ±2√(5/3). The solution for x1 and x2 can be found by substituting the value of s into the equations given in the options. To find the values of s for which the system has a unique solution, we need to find the determinant of the coefficient matrix.

To determine the values of the parameter s for which the system has a unique solution, we can use the method of solving a system of linear equations. The given system of equations is:
5sx + 3x2 = 6
8x1 + 2sx2 = -2
To find the values of s for which the system has a unique solution, we need to find the determinant of the coefficient matrix. The determinant is given by:
D = (5s)(2s) - (3)(8) = 10s^2 - 24
For the system to have a unique solution, the determinant D should not be equal to zero. Therefore, we need to solve the equation 10s^2 - 24 ≠ 0.
Simplifying the equation, we get:
10s^2 ≠ 24
s^2 ≠ 2.4
s ≠ ±√(2.4)
So, the correct answer is A. s ≠ ±2√(5/3). The solution for x1 and x2 can be found by substituting the value of s into the equations given in the options.

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Answer:

Step-by-step explanation:

The slope of the line passing through two given points:  \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

(9, 12)   ⇒   x₁ = 9,  y₁ = 12

(7, 4)   ⇒     x₂ = 7,  y₂ = 4

So, the slope:

                     \(m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4\)

Answer:

27

Step-by-step explanation:

h(-3) = -9(-3) = 27

negative x negative = positive

Answer:

h= 9

Step-by-step explanation:

h(-3)=-9(-3)

h(-3)=27

h=27/3

h=9

Answer:

21 cloves of garlic

Step-by-step explanation:

50 ÷ 7 = 7.14

7.14 x 3 = 21.42

Then rounded to the nearest whole number it would be 21.

Answer:

Step-by-step explanation:

To make a 30% alcohol solution, you would need to add 20 liters of 20% alcohol solution to 40 liters of 50% percentage alcohol solution.

50 liters of 50% alcohol solution = 50 liters x 0.50 = 25 liters of pure alcohol

40 liters of 50% alcohol solution = 40 liters x 0.50 = 20 liters of pure alcohol

Total pure alcohol = 25 liters + 20 liters = 45 liters

Required pure alcohol to make a 30% solution = 30 liters

Difference in pure alcohol = 30 liters - 45 liters = -15 liters

Add 20% alcohol solution to make up the difference = -15 liters/0.20 = 75 liters of 20% alcohol solution.

Therefore, 75 liters of 20% alcohol solution should be added to 40 liters of a 50% alcohol solution to make a 30% percentage solution.

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Answer:

57 liters

Step-by-step explanation:

Answer

1.0/5

0

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Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?

Answer:

Minutes = 8 minutes

Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

Increment = 5 liters/minute

Size of water needed = At least 57 liters

Putting the above together, as have

17 + 5m > 57

where m represents total minutes and > represent at least

Solving the Inequality

5m > 57 - 17

5m > 40 ------ Divide through by 5

5m/5 > 40/5

m > 8

So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The value of alpha is 0.025. The Z-value is 1.96. The P(z) is 0.5. The effect size is 0.05. The Sample size for the study is 384.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

Here,

All the calculations attached in image.

z= 1.96

p = 0.5

q = 1-p = 0.5

E = 0.05

sample size =

(z^2).(pq)=(1.96^2).(0.5)(.0.5)

384.16,

round up

n for study =385

Alpha has a value of 0.025. There is a 1.96 Z-value. P(z) equals 0.5. The impact factor is 0.05. The Sample size for the study is 384.

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Answer:

The equation of a line passing through the points (-1, 1) and (2, -4) is

 5x + 3y + 2=0

The equation of the line for the given graph is y = - 4x + 110.

1)We can calculate the slope of the given line by,

m = (y2 - y1)/(x2 - x1)

where, (x1, y1) are the initial points and (x2,y2) are the final points of the line.

here, (x1, y1) = (5,90)

and, (x2,y2) = (0,110)

so,

m = (110 - 90)/(0 - 5) = -4

therefore, the equation of the line will be,

y = - 4x + 110

where 110 is the y-intercept of the line

2) Slope is the rate of change of the dependent variable with respect to the independent variable.

Here we can say that the slope shows the decrease in the balance of the savings accounts with respect to the weeks.

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THIS is the answer to your question.

By Benjemin

Answer:

226.349

Step-by-step explanation:

googled it lol

By combining the like terms from the given expression we get 2y-13

what is an algebraic expression ?

Algebraic expression can be defined as the combination of  constants , variables and operators.

Algebraic expressions are the concept of expressing numbers using letters or alphabets without specifying their real values. The basics of algebra taught us a way to specific an unknown value the usage of letters which includes x, y, z, and many others. those letters are called here as variables. An algebraic expression may be a combination of each variables and constants. Any value this is positioned before and increased through a variable is a coefficient.

Given ,

The expression ,

=y-9+y-4

=y+y-(9+4)

=2y-13

Hence , By combining the like terms from the given expression we get 2y-13.

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Answer:

3/4

Step-by-step explanation:

12 sweet/ 16 total

first lets divide both by 4

(12÷4) / (16÷4)

3/4

that is how we got that.

Tell me if this helps

If you pick a cherry at random, the probability that it will be sweet will be 3/8.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event. In everyday life, risk modeling and assessment involve the use of probability theory. Environmental control, entitlement analysis, and financial regulation are all areas where governments use probabilistic methodologies.

It is given that the bag has 16 cherries, 12 sweets,s and 4 sours.

The total number of the quantities bag is the sum of all the quantities,

=16 +12+ 4

=32

The probability that it will be sweet is the ratio of the number of sweet to the total number of quantities,

= 12 / 32

=3 / 8

Thus, if you pick a cherry at random, the probability that it will be sweet will be 3/8.

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Answer:

Option D

Step-by-step explanation:

Fractions are considered to be rational numbers because they are decimals that can be written as a fraction and since it's already wrote as a fraction but can be converted back to a decimal it is a rational number. The fraction is considered to be a real number because all rational numbers are real numbers and since we just proved that 5/8 is a rational number it is therefore a real number. Which means your answer is option D or "rational numbers, real numbers."

Hope this helps.

The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

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The composition id_t  f is equal to f, as it preserves the output of the function f for all elements in set s.

Given sets s and t, and a function f: s -> t, we need to prove that id_t  f = f, where id_t is the identity function on set t. The identity function id_t(x) = x for all x ∈ t.

Consider any element x ∈ s. Since f is a function from s to t, f(x) ∈ t. Now, let's apply the composition of id_t and f, denoted as (id_t  f)(x). By definition, (id_t  f)(x) = id_t(f(x)).

Since f(x) ∈ t and id_t is the identity function on t, we have

id_t(f(x)) = f(x).

Therefore, (id_t  f)(x) = f(x) for all x ∈ s.

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To prove that idt ◦f = f, we need to understand what each term means. "Function" is a mathematical concept that maps elements from one set to another. "Sets" are collections of objects. "idt" is the identity function, which maps every element of a set to itself.

To prove that idt ◦f = f, we need to show that they have the same mappings. This can be done by applying both functions to each element of set s and comparing the results. By definition of the identity function, we know that idt(x) = x for all x in set t. Therefore, idt ◦f(x) = f(x) for all x in set s. This shows that idt ◦f and f have the same mappings, and thus they are equal.Given that S and T are sets, and f is a function from S to T, denoted by f: S → T, we want to prove that id_T ◦ f = f, where id_T is the identity function on the set T.
Step 1: Define the identity function id_T: T → T. For any element x in T, id_T(x) = x.
Step 2: Recall the composition of functions. If g: T → U and f: S → T, then the composition g ◦ f: S → U is defined as (g ◦ f)(x) = g(f(x)) for all x in S.

Step 3: Prove id_T ◦ f = f. To show this, we need to verify that (id_T ◦ f)(x) = f(x) for all x in S.
For any x in S, (id_T ◦ f)(x) = id_T(f(x)) by definition of composition. Since id_T is the identity function on T and f(x) is an element of T, id_T(f(x)) = f(x). Thus, (id_T ◦ f)(x) = f(x) for all x in S, proving that id_T ◦ f = f.+

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Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

i play baseball mark me as brainliest thank my answer and rate me as a 5 because im white

Step-by-step explanation:

Answer:

14/5

Step-by-step explanation:

multiply 5 by 2 then the answer of the is added to the numerator which would equal 14 the put 14 on top of 5

The 2 4/5  rewritten as the improper fraction 14/5.

To rewrite 2 4/5 as an improper fraction, to convert the mixed number to a fraction.

First, multiply the whole number (2) by the denominator of the fraction (5) and add the numerator (4).

2 × 5 + 4 = 10 + 4 = 14

Next, write the sum as the numerator and keep the denominator unchanged:

14/5

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Answer:

15 hours

Step-by-step explanation:

Firstly, Andrew has 20$ saved, right? So we should minus that by our goal, $140.

140-20=120

That leaves us with $120 to earn. Andrew works for $8 an hour. So we should divided 120 by 8 to get the number of hours he needs to work to get $140.

120÷8=15 hours

Which means that Andrew has to work for 15 hours to get a total of $140.

Answer:

The independent Variable is Time, and the dependent variable is Distance

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

The length of side AB is 15 units.

Given that triangles ADE and ABC are similar, and the length of side AC is 12, the length of side AE is 8 and the length of side AD is 10.

We need to find out the length of side AB.Since triangles ADE and ABC are similar, the corresponding sides are proportional.

Therefore, we have the proportion:AD / AB = AE / AC

So, we can find the length of AB by rearranging the proportion:

AB = AD × AC / AE

Since triangles ADE and ABC are similar, we can use the similarity property to indicate that corresponding sides of similar triangles are proportional.

Let x be the length of side AB.

Knowing the ratio of the corresponding sides, we can establish the ratio:

AE / AB = DE / BC

Substitute the given values:

8 / x = 10 / 12

To solve for x can do cross multiplication.

Solve the resulting equation:

8 * 12 = 10 * x

96 = 10x

Divide both sides by 10:

96 / 10 = x

x = 9.6

Taking the given values:

AB = 10 × 12 / 8AB

= 15

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In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Answer:

The answer should be 220

Step-by-step explanation:

The probability of throwing an odd number with a normal dice is 1/2

When rolling a normal six-sided B, there are six equally likely outcomes: 1, 2, 3, 4, 5, and 6. Out of these six numbers, three of them (1, 3, and 5) are odd numbers. Thus, there are three favorable outcomes (odd numbers) out of a total of six possible outcomes.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of throwing an odd number is 3/6, which simplifies to 1/2.

This means that there is a 50% chance of rolling an odd number with a normal six-sided die. In other words, if you roll the die many times, you can expect that approximately half of the outcomes will be odd numbers.

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