Translate the sentence into an equality.The sum of a number times 10 and 25 is at most -21.Use variable w for the unknown number.

Answer:

The price of each game is $44.99, so P = 44.99

Equation:  2p + 194.99 = 284.97

Step-by-step explanation:

284.97 - 194.99 = 89.98

89.98 divided by 2 = 44.99

If this week there are 144 members at the meeting, which is 90% of the total group, the total number of members on the green team is 160.

If 144 members represent 90% of the total group, we can set up the equation:

144 = 0.9x

where x is the total number of members on the green team.

To solve for x, we can divide both sides of the equation by 0.9:

144 ÷ 0.9 = x

This simplifies to:

160 = x

To check our answer, we can verify that 144 is indeed 90% of 160:

144 ÷ 160 = 0.9

which confirms that our answer is correct.

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\(-5x+4 = 29 \iff -5x =29-4 \iff -5x = 25\\\)

\(x = 25:(-5) \implies \bf x = -5\)

Answer: X = 5

Step-by-step explanation: f(x) is 29, plus it in to f(x)=-5x+4

29=-5x+4

Subtract the 4 with itself and 29

-5x=25

Divide both numbers by -5, you dont want x to be a negative

X = 5

Answer: Vertical angles are formed by the intersection of two lines and are always equal in measure. Therefore, to find the angle that is vertical to angle ∠DEB, we need to look for another angle that has the same measure as ∠DEB.

Unfortunately, we do not know the measure of angle ∠DEB, so we cannot determine which angle is vertical to it based on the given information.

Therefore, the correct answer is: None of the angles can be determined as vertical to angle ∠DEB without additional information.

Step-by-step explanation:

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Answer:

Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

Step-by-step explanation:

Here the Null hypothesis would be

H0: 87% of the graduates find full-time employment in their field within the first year of graduation

H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation

Here the p values is 0.07.

Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.

Hence, option A is correct

Since the p-value is greater than the significance level, the correct option is:

a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

At the null hypothesis, it is tested if the proportion is still of 0.87, that is:

\(H_0: p = 0.87\)

At the alternative hypothesis, it is tested if it has decreased, that is:

\(H_1: p < 0.87\)

Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.

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Answer:

I would solve this as Simplify the matrix.

Step-by-step explanation:

I would do 5+9

Then i would do 16+2

Then the 4 would be by it self

14=18=4

Then if you need to solve it more then i would just add 14 18 and 4 together

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

£18, 767.7574

Step-by-step explanation:

15837.77 x 18.5%=2,929.98745

15837.77 + 2,929.98745= 18, 767.7574

Hope this helps! Please ask me freely if you have any questions regarding this.

Answer:

Step-by-step explanation:

100+18.5=118.5

15837.77×118.5 %=18767.75745≈18767.76

The linear function C has the greatest initial value is 2. And the linear function B that has the greatest rate of change is 3.

The complete question is attached below.

The equation of line is given as

y = mx + c

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

Then the equations of the functions A, B, and C is given as

Function A: y = 5/2 x

Function B: y = 3x - 1

Function C: y = 1/3x + 2

Then graph of the functions is given below.

The linear function C has the greatest initial value is 2.

The linear function B that has the greatest rate of change is 3.

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Answer:

D

Step-by-step explanation:

If the scale is 1 centimeter per 8 miles, and there is a distance of 51.5 centimeters on the map, what you have to do is multiply 51.5 and 8

51.5 times 8 is 412.

The actual distance is 412 miles

Your answer would be D: 412 miles

You're welcome ;)

Answer:

28+36+y=180

64+y=180

y=180-64

y=116°

The Boolean expression A >= B is equivalent to  !(A < B) (option A)

To simplify a Boolean expression, use De Morgan's Law.

De Morgan's Law is used to simplify or find the equivalent of a negation of compound expressions.

The principle is:

NOT (A AND B) is equivalent to (NOT A) OR (NOT B)

NOT (A OR B) is equivalent to (NOT A) AND (NOT B)

When the expression involves >, <, = signs, then to simplify the expression, move the not and flip the sign.

! is the symbol of negation or NOT.

Hence,

! (>) becomes <=

! (<) becomes >=

Here are some examples:

!(A > B) is equivalent to (A <= B)

!(A <= B) is equivalent to (A > B)

!(A >= B) is equivalent to (A < B)

!(A == B) is equivalent to (A != B)

!(A != B) is equivalent to (A == B)

!(A < B) is equivalent to (A >= B)

From the above list we can conclude that A >= B is equivalent to !(A < B) (option A)

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Answer:

mark me as brinalist if answers are correct

Answer:

c) 5, -5

Step-by-step explanation:

5 + (-5)

= 5 - 5

= 0

Step-by-step explanation:

2..................pls follow me

Answer:

A. $ 6053.44

B. From the graph, R = 21.027 ft and C = $ 5700.005, L = 31.043 ft

The values in A and B do not all agree. This could be due to error in approximations. Their values are close though.

Step-by-step explanation:

A. The area A of the enclosure equals, A = 2RL + πR²/2.

The total cost C = 20 × length of curved section + 30 × length of straight section

C = 20πR + 30[2(L + 2R)]

   = 20πR + 60L + 120R

Making L subject of the formula from A,

L = A/2R - πR/4

Substituting L into C, we have

C = 20πR + 60(A/2R - πR/4) + 120R

   = 20πR + 30A/R - 15πR + 120R

   = 5πR + 30A/R + 120R

We now differentiate C with respect to R to find the value of R for minimum cost

dC/dR = 5π - 60A/R² +120

Equating dC/dR to zero, we have

5π - 60A/R² + 120 = 0

So, R = ±√[60A/(5π + 120)]

substituting A = 2000 ft²

R = ±√[60 × 2000/(5π + 120)] = ±29.74 ft

We take the positive answer, R = 29.74 ft since R cannot be negative.

To determine if this is a minimum point, we differentiate dC/dR with respect to R.

So d²C/dR² = 120A/R³

Since d²C/dR² = 120A/R³ > 0 for positive R, it is a minimum point.

Substituting the value of R into C we have

C = 5πR + 30A/R + 120R

   = 5π(29.74) + 30 × 2000/29.74 + 120(29.74)

   = 467.155 + 2017.485 + 3568.8

   = $ 6053.44

and L = A/2R - πR/4

         = 2000/2(29.74) - π(29.74)/4

         = 33.625 - 23.356

         = 10.269

         ≅ 10.27 ft

B. From the graph, R = 21.027 ft and C = $ 5700.005, L = 31.043 ft

The values in A and B do not all agree. This could be due to error in approximations. Their values are close though.

Answer: 47 meters

Step-by-step explanation:

The equation for the diameter of a circle is \(C=d\pi\), so we just multiply the diameter (15) by \(\pi\). \(15\pi\), or roughly 47.1238898038. Rounded to the nearest meter, 47 meters. Also, happy pi day!

Answer:

Function 1 has the greater rate of change.

Step-by-step explanation:

Function 1 has a rate of change of -5

Function 2 has a rate of change of -8

I really hope this helps!!

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Average of 48 texts per day with a standard deviation of 12.

This means that \(\mu = 48, \sigma = 12\)

a. A customer who sends 78 messages per day would correspond to what percentile?

The percentile is the p-value of Z when X = 78. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{78 - 48}{12}\)

\(Z = 2.5\)

\(Z = 2.5\) has a p-value of 0.9938.

0.9938*100% = 99.38%.

A customer who sends 78 messages per day would be at 99.38th percentile.

Answer:2x-1=0

Step-by-step explanation:

x=1/2

Cross multiply

2x=1

Subtract 1 from both sides

2x-1=1-1

2x-1=0

The equation below has a solution of x= 1/2 will be 2x-1=0.Option A is correct.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given expression;

x=1/2

2x=1

Take 1 away from both sides.

2x-1=1-1

2x-1=0

The equation below has a solution of x= 1/2 will be 2x-1=0.

Hence, option A is correct.

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Answer: AD=DC

Step-by-step explanation:

Answer:

3. 73

4. 1500

Step-by-step explanation:

3. 7*9 = 63, 2*5 = 10, 63+10 = 73

4. 40*30 = 1200, 20*30 = 600 divided by 2 = 300, 1200+300 = 1500

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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I'm pretty sure it a 3 to 8 and 32 to 12

Answer:

The answer will be b & c.

The answer will be e B and C that is 32:12 and 4 to 2. Because it is equivalent to 16: 6.

Answer:

no it is not

Step-by-step explanation:

No.  Because  right angled triangles all sides are equal.

Answer:

-10

Step-by-step explanation:

5 - 8 is -3, -3 x 4 is -12, + 2 is -10

Answer:

⇛x=8cm.

Step-by-step explanation:

Given that

PQRS is a square and PQ = (2x+3) cm

and QR = (3x-5) cm

We know that

All sides are equal in a square .

⇛ PQ = QR = RS = PS

⇛ 2x+3 = 3x-5

⇛ 3+5 = 3x-2x

⇛ 8 = x

⇛ x = 8

Therefore, The value of x = 8 cm.

The sum log 4(11) + log 8(11) + log 64(11) can be expressed in the form log b(n), where b and n are positive integers, and b is as small as possible.The sum of b and n is 13.

1. Use the change of base formula to convert each logarithm to the same base (in this case, base 2):

- log 4(11) = log 2(11) / log 2(4) = log 2(11) / 2

- log 8(11) = log 2(11) / log 2(8) = log 2(11) / 3

- log 64(11) = log 2(11) / log 2(64) = log 2(11) / 6

2. Find the common denominator for the fractions, which is 6:

- (log 2(11) / 2) × (3/3) = 3 × log 2(11) / 6

- (log 2(11) / 3) × (2/2) = 2 × log 2(11) / 6

- log 2(11) / 6 stays the same

3. Add the numerators together:

- (3 × log 2(11) + 2 × log 2(11) + log 2(11)) / 6

- (3 + 2 + 1) × log 2(11) / 6

- 6 × log 2(11) / 6

4. Cancel out the 6 in the numerator and denominator, resulting in log 2(11).

5. The sum is expressed as log b(n) = log 2(11), so b = 2 and n = 11.

6. Finally, find b + n: 2 + 11 = 13.

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