Select the correct answer.
Using a table of values, what is the solution to this equation?
7/ x + 2 = log (x + 5)

The height of the object at any given time t is given by the function h(t) = -t^2 + 6t + 10. To find the maximum height, we need to find the vertex of the parabola described by this function.

The vertex of a parabola in the form y = ax^2 + bx + c is given by the formula (-b/2a, f(-b/2a)), where f(-b/2a) is the y-coordinate of the vertex.

In this case, a = -1, b = 6, and c = 10, so we have:

t = -b/2a = -6/(-2) = 3

To find the maximum height, we need to evaluate h(3):

h(3) = -(3)^2 + 6(3) + 10 = 9 + 18 + 10 = 37

Therefore, the maximum height of the object is 37 units, which occurs when t = 3 seconds.

The fourth term of the sequence is -18.

In arithmetic progression, the first term is denoted by "a", the  last term  by "l", the common difference of two terms is denoted by "d", and the number of terms  by "n". To find the sum of an arithmetic progression, we must know the first term (a), the number of terms (n), and the common difference (d) between successive terms. Then substitute the values ​​Sn = n/2[2a (n − 1) × d].

To find the 4th term of the sequence, we can simply substitute n = 4 instead of the nth term in the formula:

a(4) = -6 - 4 (4-1)

= -6 - 4 (3)

= -6 to 12

= -18

Therefore, the fourth term of the sequence is -18.

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Answer:

2.125 inches

Step-by-step explanation:

We Know

On Monday, 1 7/8 inches of rain fell. On Tuesday, it rained 1/4 inch.

1 7/8 = 15/8

What was the total rainfall for the two days?

We Take

15/8 + 1/4 = 15/8 + 2/8 = 17/8 inches of rainfall

17/8 = 2.125

So, the total rainfall for the two days is 2.125 inches.

Answer:

2 1/8 inches

Step-by-step explanation:

You need to add the two amounts of rainfall together to get your answer, which is 1 7/8 + 1/4. To add these fractions, make the fractions equivalent. To find equivalent fractions, we multiply the numerator and the denominator by the same number.

Since 1/4 can be 2/8, you can now add 1 7/8 + 2/8. This equals 2 1/8.

Therefore, the total rainfall for the two days was 2 and 1/8 inches.

IM SO SORRY IF THIS DID NOT MAKE SENSE!

Answer:

15

Step-by-step explanation:

Answer:

18.09

Step-by-step explanation:2.4x2.4, then x3.14  

Answer:

answers below

Step-by-step explanation:

If you are trying to find the area the answers are:

Earth= 289.52918

Saturn=6,532.5021

The formula for area for a sphere is:

4 x pie x r2

If you are trying to find the volume the answers are:

Earth=57.90584

Saturn=46,647.01596

The formula for volume for a sphere is:

4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

the infusion rate is 88.89 ml/hr or 88.89 gtt/min.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

Next, we can use the formula:

Flow rate (ml/hr) = (Volume infused ÷ Time in hours)

Flow rate (ml/hr) = (800 ml ÷ 9 hours)

Flow rate (ml/hr) = 88.89 ml/hr (rounded to two decimal places)

Finally, we can convert the flow rate from ml/hr to drops per minute (gtt/min) using the drop factor of 60 gtt/ml:

Flow rate (gtt/min) = Flow rate (ml/hr) x Drop factor (gtt/ml) ÷ 60 (min/hr)

Flow rate (gtt/min) = (88.89 ml/hr x 60 gtt/ml) ÷ 60 (min/hr)

Flow rate (gtt/min) = 88.89 gtt/min (rounded to two decimal places)

Therefore, the infusion rate is 88.89 ml/hr or 88.89 gtt/min.

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Answer: x = 625.4

Step-by-step explanation:

5x – 2 = 3125

      +2       +2

5x = 3127

/5        /5

x = 625.4

Answer: x=3127

Step-by-step explanation:5x times 2 - (3125)=0

5x times -3127=0

5x=3127

x=3127/1

x=3127

Answer:

the answer is    d

Step-by-step explanation:

Answer:

Without a visual or additional information, it is difficult to determine the best function that models the stock data shown in the scatter plot.

However, we can make some observations based on the answer choices:

A. Y=0.3(2.94) +56.5 is not a linear function and does not seem to fit the general trend of the data.

B. Y=442x+53 is a linear function with a positive slope, but it does not seem to fit the general trend of the data.

C. Y=0.92)+58 is not a linear function and appears to be missing a variable.

D. Y=7.7x+47.7 is a linear function with a positive slope that seems to fit the general trend of the data.

Therefore, the best function that models the stock data shown in the scatter plot is likely D) Y=7.7x+47.7.

The fee of agency's per mile is $0.23 or 23 cents.

Let the fee charged by agency for per mile drive be $x.

It is given that first people drove 1010 miles and charged $232.30 by agency.

So the equation for first person is,

1010x + y = 232.30........... (i), where y is fixed charge by the agency if it is there.

Also given that second person drove 765 miles and paid $175.95 to agency.

So the equation for the second person is,

765x + y = 175.95 ............. (ii)

Subtracting equation (ii) from equation (i) we get,

1010x + y - 765x - y = 232.30 - 175.95

245x = 56.35

x = 0.23

Hence the fee of agency's per mile is $0.23 or 23 cents.

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Correct option is D. the combined expenses are $300,000 more than the combined income.

In business, economics, statistics, and science, bar charts are frequently used to display and compare data. When dealing with data that can be divided into discrete categories, like nominal or ordinal data, they are especially helpful.

According to the Income and expenses graph;

We can verify each options one by one.

A. Expenses have increased $200,000 each year over the last 5 years:

If we see the graph for expenses in each year that is increased by $100,000 not the $200,000 over the last 5 years.
So, the option is wrong.

B. The income in Year 5 was twice the income in Year 1:

Income in year 1 = $600,000
Income in year 5 = $900,000

We can see here, income is not just double.
So, the option is wrong.

C. The sum of all expenses in Years 1, 2, and 3 was the same as the sum of all income in those years:

combined income in Years 1, 2, and 3 = $600,000 + $600,000 + $400,000  =  $1600,000
combined expenses in Years 1, 2, and 3 = $400,000 + $500,000 + $600,000 = $1500,000

Both are not equal.
So, the option is wrong.

D. The total amount expenses in Years 3 and 4 were $300,000 more than the total amount income in Years 3 and 4:

combined expenses in Years 3 and 4 = $600,000 + $700,000 = $13,00,000

combined income in Years 3 and 4 = $400,000 + $600,000 = $10,00,000

We can see here the combined expenses are $300,000 more than the combined income.

So, the option is correct.

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Considering a period of 10 days, the 95% confidence interval of the sample mean difference is between $0.1 and $7.9.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 10 - 1 = 9 df, is t = 2.2622.

The parameters for this problem are given as follows:

[tex]\overline{x} = 4.01, s = 5.46, n = 10[/tex]

Then the lower bound of the interval is given as follows:

4.01 - 2.2622 x 5.46/sqrt(10) = 0.1.

The upper bound of the interval is given as follows:

4.01 + 2.2622 x 5.46/sqrt(10) = 7.9.

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Answer:

{x,y}={7,-2}

Step-by-step explanation:

     3x - 2y = 25

     -5x + 2y = -39

 [2]    2y = 5x - 39

 [2]    y = 5x/2 - 39/2

// Plug this in for variable  y  in equation [1]

  [1]    3x - 2•(5x/2-39/2) = 25

  [1]    -2x = -14

// Solve equation [1] for the variable  x

  [1]    2x = 14

  [1]    x = 7

the absolute change in the percentage increase amounts from Paula's investments is 74.5%.

What is the percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.

The absolute change in the percentage increase amounts is the difference between the two percentages.

Absolute change = |87.4% - 12.9%| = |74.5%| = 74.5%

Therefore, the absolute change in the percentage increase amounts from Paula's investments is 74.5%.

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Answer:

x = 25

Step-by-step explanation:

the consecutive angles in a parallelogram sum to 180° , that is

∠ C + ∠ D = 180

4x + 28 + 52 = 180

4x + 80 = 180 ( subtract 80 from both sides )

4x = 100 ( divide both sides by 4 )

x = 25

Answer: 33

Step-by-step explanation: I promise its right i got you

The inverse function of [tex]y = (3/4)x - 1[/tex] is: [tex]y = (4/3)(x + 1)[/tex]).

An inverse function refers to the function that returns the original value for which a function has given the output.

To find the inverse function of y= 3/4x - 1, we must to interchange x and y and solve for y:

x = (3/4)y - 1

x + 1 = (3/4)y

y = (4/3)(x + 1).

b. Finding the inverse function of a given function without using algebra can be done by graphing the function and reflecting it across the line y = x which is known as the reflection property of inverse functions.

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Answer:  the sides of the triangle are a ≈ 41.5, b = 15, and c = 57, and the measures of the angles are A ≈ 42.7°, B ≈ 29.3°, and C = 108°.

Step-by-step explanation:

The probability of selecting a Republican and then an Independent is 1/15

From the question, we have the following parameters that can be used in our computation:

Political discussion group consisting of

If the people are replaced, then we have

P(Republicans) = 5/15

P(Independents) = 3/15

So, we have

The probability of selecting a Republican and then an Independent

P = 5/15 * 3/15

Evaluate

P = 1/15

Hence, the probability of selecting a Republican and then an Independent is 1/15

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Step-by-step explanation:

Triangle has 180 degrees in its interior angles .....90 degrees is the right angle leaving 90 degrees for 2x + 3x+ 5

2x +   3x+5 = 90

5x = 85

x = 17

smallest angle is then 2x = 34 degrees

The height of the pyramid is 6 units.

What is the formula of the volume of a pyramid?

The volume of a pyramid is [tex]V = ( \frac{1}{3} ) \times B \times h[/tex], where B is the area of the base and h is the height of the pyramid.

In this case, the base is a square with sides of length 5, so the area of the base is [tex]B = 5 \times 5 = 25 \: square \: units[/tex]

We are also given that the volume of the pyramid is 50 cubic units.

So we are putting these values into the formula and solve for h,

[tex]50 = ( \frac{1}{3} ) \times 25 \times h \\ 150 = 25 \times h \\ h = 6[/tex]

Therefore, the height of the pyramid is 6 units.

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Correct question is "The volume of a pyramid is 50 cubic units. The base is a square with sides of length 5. What is the height?

(A) 2 Units

(B)10 Units

(C) 6 Units

D) 4 Units"

Answer:

To find the break-even point, we need to set the revenue equal to the expenses and solve for x:

1000 + 18x = 1700 + 13x

5x = 700

x = 140

Therefore, Pizza Garden needs to sell 140 pizzas in a week to break even. So the answer is 140.

Answer:

(B ) joint is the answer.  

The percentage of students still writing the test is

23.75%

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign( %).

For example if there are 80 student in a class and 20 are boys, the percentage of boys in the class is ; 20/80 × 100 = 25%

The total number of students that finished the test before 1.75hours = 17+12+22 = 61

The number of students left in the class = 80-61

= 19

Therefore percentage of of the student still taking the test after 1.75 = 19/80 × 100

= 1900/80

= 23.75 %

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Answer:

FD = 3.16

Step-by-step explanation:

To determine the length of FD, we can use the property of similar triangles that corresponding sides are in proportion to each other. That is,

AB/DE = BC/EF = CA/FD

We are given the lengths of AB, CA, and BC in triangle ABC, and we know that triangle ABC is similar to triangle DEF. We can use the first two sides to find the third side of triangle DEF as follows:

AB/DE = 11/DE = 7.9/EF

=> EF = (DE * 7.9) / 11

Next, we can use the third proportionality to find FD:

CA/FD = 7.6/FD = 11/EF

=> FD = (11 * 7.6) / EF

=> FD = (11 * 7.6) / ((DE * 7.9) / 11)

=> FD = (11^2 * 7.6) / (DE * 7.9)

Now, we just need to substitute the given values and solve for FD:

FD = (11^2 * 7.6) / (4.4 * 7.9)

FD = 3.16

Therefore, the length of FD is 3.16.

In the problem given, the result of the polynomial long division shows that the quotient is 4x - 4 and the remainder is -5.

To perform polynomial long division of (4x²-24x+15) by (x-5), we follow these steps:

       4x - 4

    --------------

x - 5 | 4x² - 24x + 15

       4x² - 20x

       ------------

                -4x + 15

                -4x + 20

                ----------

                     -5

Therefore, the quotient is 4x - 4 and the remainder is -5.

We can check our answer by verifying that:

(4x - 4) * (x - 5) + (-5) = 4x² - 24x + 15

which is indeed the original polynomial.

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On solving the equation, the price for next order is obtained as $50.40.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

If the price increase is 12%, we need to add 12% of the original price to the original price to get the new price.

So, the new price equation would be -

$45 + 12% of $45

= $45 + 0.12*$45

= $45 + $5.40

= $50.40

Therefore, if the price increase happens, the price for your next order would be $50.40.

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Step-by-step explanation:

1.

Plane with two axes as a frame of reference. - Coordinate plane

2.

The vertical number line in a coordinate plane - Y-axis

3.

The horizontal number line in a coordinate plane - X-axis

4.

A pair of numbers that are used to correspond to a point on a graph where the first number is the x-coordinate and the second number is the y-coordinate. - Ordered Pairs

5.

Where the x and y axis meet. The point (0, 0). - Origin

6.

One of the four regions into which the x and y axis separate the coordinate plane.- Quadrant

7.

An equation with two variables that makes up a straight line on a coordinate plane. - Linear Equation

8.

The vertical change in a line from one point (x1,y1) to a second point (x2, y2). - Rise

9.

The horizontal change in a line from one point (x1,y1) to a second point (x2,y2). - run

10.

The ratio of a line's rise over its run. - Slope

11.

The point where a graph crosses the x axis. - X Intercept

12.

The point where a graph crosses the y axis. - Y Intercept

13.

A linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. - Slope-intercept form

14.

Lines that have the same slope and never intersect. - Parallel Lines

15.

Two lines that intersect at a 90° angle. Slopes of these lines are opposite reciprocals. - Perpendicular Lines

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Inverting and multiplying the expression 2/3 divide by 4, we get 1/3

The expression from the question is given as

2/3 divide by 4

When inverted, we have

2/3 divide by 4 =  2/3 multiplied by 1/4

Express properly

So, we have

2/3 divide by 4 = 2/3 * 1/4

Evaluate the product

So, we have

2/3 divide by 4 = 1/3

Hence, the solution is 1/3

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