Enter an algebraic expression for the word expression. 39 more than the product of 5 and p5 less than the sum of x and 4

Answer:

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Which option?

Edit it

Answer:

Step-by-step explanation:

=

−

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2

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4

√

2

x

=

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b

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b

2

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4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

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2

+

1

0

=

0

x

2

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2

x

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10

=

0

x2−2x+10=0

=

1

a

=

1

a=1

=

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2

b

=

−

2

b=−2

=

1

0

c

=

10

c=10

=

−

(

−

2

)

±

(

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2

)

2

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4

⋅

1

⋅

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x

Answer:

Step-by-step explanation:

\(\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i\)

Let:

W = Number of weeks

S = Total amount of money

Let's write the equation in the slope-intercept form:

The total amount of money after 16 weeks can be calculated as follows:

Answer:

$1090

Answer:

64.58

Step-by-step explanation:

1 meter is 3.28084 so 3 meters is 9.84252 because you multiply it by 3 or add them to each other 3 times. 2 meters is 6.56168 because you multiply it by 2 or add them to each other. now that you have 6.56168 and 9.84252 multiply them with each other and you get 64.5834666336 but it was said to round to nearest hundredth so since the 3 in front of the 8 is not a 5 and above the answer is 64.58 and not 64.89

9514 1404 393

Answer:

  F(x) = (9/5)x -459.67

Step-by-step explanation:

F(C(x)) = 9/5(x -273.15) +32

F(C(x)) = (9/5)x -459.67 . . . . . simplify

Answer:

$315,840.00

Step-by-step explanation:

$564,000 x 0.56 = $315,840.00

Answer:

$315,840

Step-by-step explanation:

56% of 564,000 is this

Answer:

87.5%

Step-by-step explanation:

Total parts = 8

Part 6 = 1

Parts not 6 = 7

P(not 6) = 7/8

In %age:

=> 87.5%

Answer:

87.5%

Step-by-step explanation:

The numbers not 6 on the spinner are 2, 3, 4, 5, 7, 8, and 9.

7 numbers out of 8 are not 6.

7/8 = 0.875

P(not 6) = 87.5%

SOLUTION

Using Pythagorean theorem, it follows:

Solving for c gives:

Therefore the answer is:

Answer:

12%

Step-by-step explanation:

calculator

According to the data, Alondra would have to save $275 each month if she wants to have $7,000 after two years.

To calculate the savings that Alondra must make to have $7,000 after 2 years we must carry out the following procedure:

First, we must subtract $400 from her initial contribution to your savings.

$7,000 - $400 = $6,600

Then we must divide $6,600 into the number of months that are 2 years (24 months).

$6,600 / 24 = $275

Based on the above, if she saves $275 of her salary each month, she will have $7,000 after 2 years. This is possible because her monthly payment is $358.41

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The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Answer:

remaining amount of animals should be 35

Step-by-step explanation:

First add up all the pets in the store = 37

Then minus the 2 puppies = 35

then put it as 2:35

Answer:

3:7

Step-by-step explanation:

Answer:

290.87 miles

Step-by-step explanation:

336 miles - 67 hours

x miles - 58 hours

Cross multiply

67x = 336 x 58

67x = 19488.

Divide both sides by 67

x = 19488/67

x = 290.87 miles

Answer:

0.0390625

Step-by-step explanation:

by the equation then x=y*(16/5)

then when x=0.125 , y = 0.0390625

12. Each section of the line on each side is identical (shown by the marks through each line)

This means both those angles are also the same.

6x + 1 = 9x-23

Add 23 to both sides

6x + 24 = 9x

Subtract 6x from both sides

24 = 3x

Divide both sides by 3

X = 8

13. Both angles when added together need to equal 180

5x-24 + 8x +9 = 180

Combine like terms

13x -15 = 180

Add 15 to both sides

13x = 195

Divide both sides by 13

X = 15

#12

#13

1080 quarts can be made in 36 hours.

The rate per day is 30 quarts.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

150 quarts of icecream = 5 hours

This can be written as,

5 hours = 150 quarts

Divide both sides by 5.

1 hour = 30 quarts

Multiplying 36 on both sides.

36 hours = 36 x 30 quarts

36 hours = 1080 quarts

Thus,

1080 quarts can be made in 36 hours.

30 quarts per day.

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we place the t's on the same side and the other nombers on the other side

now do the operations

then solve t

the value of t is 3.5 so the rigth option is D

Answer:

6/12

Step-by-step explanation:

I think that's right because once you put that mint back it's not decreasing in value so it would stay as 6/12

The probability that a point chosen at random lies on the shaded region is given as follows:

4/7.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The area of the shaded region in this problem is given as follows:

4² = 16.

The total area of the figure is given as follows:

16 + 2 x 1/2 x 3 x 4 = 28.

Hence the probability is given as follows:

16/28 = 4/7.

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1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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Answer:

a) The function has a minimum value.

b) The minimum value of the function is -27.

c) The minimum value occurs at x=3.

Step-by-step explanation:

Answer:

Where's the photo?

Step-by-step explanation:

I will edit this

The probability that a viewer will turn to channel 8 during Jimmy's performance is 2.67%.

The show is 30 minutes long, which is equivalent to 1800 seconds. Jimmy's performance starts at 6:06 pm, which is 366 seconds into the show, and ends at 6:14 pm, which is 414 seconds into the show. Therefore, Jimmy's performance lasts for 48 seconds.

The probability of a viewer turning to channel 8 during Jimmy's performance can be calculated by dividing the length of Jimmy's performance by the length of the entire show:

P = (length of Jimmy's performance) / (length of entire show) = 48 / 1800 = 0.0267

Multiplying by 100 gives the probability as a percentage: 2.67%

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The exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

Given that sec(θ) = -8 and sin(θ) > 0, we can find the exact values of the remaining trigonometric functions using the Pythagorean identity:

sec^2(θ) = 1/sin^2(θ)

Substituting the value of sec(θ), we have:

(-8)^2 = 1/sin^2(θ)

64 = 1/sin^2(θ)

sin^2(θ) = 1/64

sin(θ) = ±√(1/64)

Since sin(θ) > 0, we take the positive square root:

sin(θ) = √(1/64)

Next, we use the reciprocal identity for cosecant:

csc(θ) = 1/sin(θ)

Substituting the value of sin(θ), we have:

csc(θ) = 1/√(1/64) = 8√(1/64) = 8/√(64) = 8/8 = 1

Next, we use the reciprocal identity for cotangent:

cot(θ) = 1/tan(θ)

We can find the value of tan(θ) using the definition:

tan(θ) = sin(θ) / cos(θ)

Substituting the values of sin(θ) and cos(θ), we have:

tan(θ) = √(1/64) / (-8) = -√(1/64) / 8

Finally, we use the reciprocal identity for a tangent:

tan(θ) = 1/cot(θ)

Substituting the value of cot(θ), we have:

tan(θ) = -8√(1/64)

Therefore, the exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

The complete question is:-

Find the exact value of each of the remaining trigonometric functions of

θ. Rationalize denominators when applicable.

secθ=−8, given that sinθ>0

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The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: she should by 9 bottles of juice

Step-by-step explanation:

because there's 2 L per one bottle, 2L (X bottles) = 18L, X = 9

Then you can state that angle DEF is congruent to angle GHJ.

The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.

This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.

In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and

you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.

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