The graph of the function, f(x)=x^2-5x-7 opens __ and has a ____ value.

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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The correct significant figure of 0.0879/0.98 is 0.08989796. (rounded to six significant figures)

The meaningful digits in a measured or computed number are known as significant figures. They are used to convey the degree of uncertainty in a value and represent the accuracy of the measurement. You must first establish the number of significant figures in each value being utilized before you can execute a computation with significant figures. When doing the computation, use the same number of decimal places as the value with the fewest significant figures. The final step is to round the result to the appropriate number of significant digits.

According to the question

Both numbers in the calculation 0.0879/0.98 have four significant digits. The result, after performing the calculation, is 0.08989796. We look at the final digit (7) in the response to determine the right amount of significant digits to round to. The preceding digit (9) is rounded up if the digit is 5 or above. In this instance, the solution, rounded to six significant numbers, is 0.0899.

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The distance between points A and B is  482.86 feet.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Fro, The given information,

tan8° = 104/x.

x = 742.86 feet.

Again,

tan22° = 104/y.

y = 260 feet.

Therefore, The distance between points A and B is,

x - y = 742.86 - 260 feet.

= 482.86 feet.

Q. A boat is heading towards a lighthouse, whose beacon light is 104 feet above the water.  From point A, the boat's crew measures the angle of elevation to the beacon is 8°  before they draw closer.

They measure the angle of elevation a second time from point B to be 22°. Find the distance from point A to point B, Round your answer to the nearest foot if necessary.

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Answer:

6.00b + 7.75s ≥ 250

b + s ≤ 40

Step-by-step explanation:

6.00b + 7.75s ≥ 250---this represents how much he will make

b + s ≤ 40---these are his hours. B+S are his hours, and they can't be greater than 40 hrs, so ≤.

Answer:

14 1/2

Step-by-step explanation:

6 1/2 + 8 = (6 + 8) + (1/2+ 0) = 14 + 1/2 + 0 × 2= 14 + 1/2+ 0/2= 14 +1 + 0/2 =  14+ 1/2 = 14 1/2

Answer

Step-by-step explanation:

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

Answer:

x=-6

Step-by-step explanation:

Divide both sides by -4

You will get an answer of x=-6.

Answer:

nineteen

Step-by-step explanation:

ty for the points luv

Answer:

\(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\)

Step-by-step explanation:

Integrate v(t) with respect to time

\(\displaystyle \int(3t^3+30t^2+5)\,dt\\\\=\frac{3}{4}t^4+10t^3+5t+C\)

Plug-in initial condition to get C

\(\displaystyle s(0)=\frac{3}{4}(0)^3+10(0)^3+5(0)+C\\\\3=C\)

Thus, the position function is \(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\) given the velocity function and initial condition.

The width of the border will be 1 and 1/4 feet.

To solve this problem, we need to find the dimensions of the rug first. Since the area of the rug is given as 180 square feet, we can use this to find the length and width of the rug. Let the width of the rug be x feet, then the length of the rug will be (180/x) feet.

Now we need to add the border to the dimensions of the rug. Since we want the border to be of even width on all four sides, we can add twice the width of the border to both the length and width of the rug.

Thus, the width of the rug with the border will be (x + 2b) feet and the length will be ([180/x] + 2b) feet.

We know that the room is 16 feet by 19 feet, and we want the border to be of even width on all four sides. Therefore, the width of the rug with the border should be 16 - 2b feet and the length should be 19 - 2b feet.

Equating these dimensions with the ones we found above, we get:

x + 2b = 16 - 2b
[180/x] + 2b = 19 - 2b

Solving these equations simultaneously, we get:

x = 6 feet (approx.)
b = 5/4 feet (approx.)

Therefore, the width of the border will be 1 and 1/4 feet.
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Answer:

-8

Step-by-step explanation:

(-2)2+9(-2)+14

-4+-18+14

-22+14

=-8

Hope this helps

Answer:

0

Step-by-step explanation:

f(x) = x^2 + 9x + 14, when x = -2.

f(x)=(x+7)(x+2)

f(x)=(-2+7)(-2+2)=0

Answer:

giggity goo

Step-by-step explanation:

Answer is 5/4The slope is the number next to the “x” in the y intercept formula

y= m (slope) x + b

Answer: m= 5/4

Step-by-step explanation:

La ecuación general de la recta es y=mx+by=mx+b, donde m es la pendiente y b es la intersección en y

y=mx+by=mx+b

Answer:

Step-by-step explanation:

Quadrilaterals are four sided shapes. A parallelogram is a quadrilateral with equal and parallel opposite sides. The sum of the interior angles of any quadrilateral is always 360 degrees

Considering the question being asked, the correct option is

1) The sum of the interior angles will still be 360°. This will always remain the same no matter what type of quadrilateral is formed.

For the other options, some will remain the same and this depends on the type of quadrilateral that is formed.

Answer:

Its 1 and 3

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

because there's less humidity

The range of the given function is [-2,∞).

the range is the complete set of all possible values of the dependent variable say 'y'.

given function is:  f(x)=  |x – 12| – 2

f(x) = x-14  ∀ x≥12

f(x) = -x+10 ∀ x < 12

value of the above function at x=12 will be -2 means the minimum value of the function will be -2.

now, from the graph, we can see that f(x) is leading to infinity

so the range will be [-2,∞).

therefore, The range of the given function is [-2,∞).

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The range of the function is all real number of input value (y-value) grater than or equal to -2.

Range of a function is the set of all the possible output values which are valid for that function.

The function given in the problem is,

\(g(x) = |x - 12| - 2\)

Lets, compare the above function with the vertex form of the absolute function. The vertex form of the absolute function with vertex (h, k) can be given as,

\(y=a|x-h|+k\)

On comparing the vertex form with the given equation, we get,

\(h=12\\k=-2\)

Now, as the tange of a function is the set of all the possible output values which are valid for that function.

Here, the function does not take the value which are less than -2. Hence, the range of the function is all real number of input value (y-value) grater than or equal to -2.

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Answer:

She drinks 4.8 ounces of water per hour

Step-by-step explanation:

We know

Yasmin drank 3/4 of an 8-ounce glass of water in 1 1/4 hours

3/4 of 8 ounce = 6 ounces

1 1/4 = 5/4 = 1.25 hours

How much can she drink per hour?

6 divided by 1.25 = 4.8 ounces of water per hour

So, she drinks 4.8 ounces of water per hour.

ѕоrrу іm ѕtuріd

mу bаd :(

Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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Answer:

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee

Step-by-step explanation:

if you use x pounds of Kenyan French Roast coffee and y pounds of Sumatran coffee then you know that

11x + 10y = 10.6 * 20

x+y=20

10x+10y=200

11x+10y=212

x=12

y = 20-x = 20-12 = 8

so you want to use

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee

Julius currently pays the minimum monthly payment of $34. 15 on his credit card, which has a balance of $1,289. His credit card has an APR of 20%. If Julius wants to pay off the balance in 12 months, the monthly payments he needs to make are $124.53.

The modification with the least cuts to his current expenses that will allow Julius to pay off his credit card balance in 12 months is to eliminate $31 from Entertainment and $55 from Food/Clothes. This will free up $86 of his budget to be used to pay off his credit card debt. Thus, the  to the question is option A.Option A: Julius can eliminate $31 from Entertainment and $55 from Food/Clothes.

To determine the monthly payments Julius needs to make to pay off his credit card balance in 12 months, we can use the formula for monthly payment for a fixed payment and fixed interest rate:Monthly payment = P[(r(1 + r)n)/((1 + r)n - 1)]where,P = balance on the credit card = $1,289r = monthly interest rate = APR/12 = 20%/12 = 0.0167n = total number of payments = 12Substituting the values in the formula, we get:Monthly payment = 1289[(0.0167)(1 + 0.0167)12]/[(1 + 0.0167)12 - 1]= $124.53 (rounded to the nearest cent)Thus, Julius needs to make monthly payments of $124.53 to pay off his credit card balance in 12 months.Now, let's consider the modifications to Julius's budget. We need to find the modification with the least cuts to his current expenses that will allow him to pay off his credit card balance in 12 months. We can start by calculating his total expenses and total income:

Total expenses = Rent + Utilities + Food/Clothes + Entertainment + Car + Credit Card + Cell Phone= $900 + $186.35 + $298 + $330 + $385 + $34.15 + $89.49= $2,223.99

Total income = Wages - Total expenses= $2,456 - $2,223.99= $232.01Since Julius wants to pay off his credit card balance in 12 months,

he needs to find a way to free up at least $124.53 in his budget each month. The modification with the least cuts to his current expenses would be the one that frees up this amount or more.To find the modification, we can try eliminating different amounts from the Entertainment and Food/Clothes categories. For example, if we eliminate $30 from

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Answer:

x = $2351

Step-by-step explanation:

Answer:

60

Step-by-step explanation

Answer:

$60

Step-by-step explanation:

3000 / 50 =60

Answer:

It depends how the question wants the answer but here are the different ways it can be written

y = \(\frac{3}{2}\)

y = \(1\frac{1}{2}\)

y = 1.5

Step-by-step explanation:

\(\frac{10}{2\frac{1}{2} } =\frac{6}{y} =\)

\(10y=6* 2 \frac{1}{2}\)

The 2 1/2 can be turned into 2.5

\(10y=6* 2.5\)

\(10y=15\)\(y=\frac{15}{10} \\y = \frac{3}{2} \\\)

Which can also be shown as

y= 1 \(\frac{1}{2}\)

or y = 1.5

I believe that they want the answer as a mix fraction which is 1  1/2

Hope this helps!

Please mark as brainiest :)

Answer:

y = 3/2 or 1 1/2

3/2 is the improper fraction

1 1/2 is the mixed number

either one shall work

Step-by-step explanation:

step 1: convert mixed fractions into an improper fraction

ex: 2 1/2 = 5/2   (10/5/2 = 6/y)

step 2: cross multiply (a/b = c/d then a * d = b * c)

ex: 10y = 5/2 * 6

step 3: simplify the equation (multiply 5/2 by 6)

ex: 10y = 15

step 4: divide both side by 10

ex: 10y/10 = 15/10   (y = 15/10)

step 6: simplify the equation if you are able to

ex: 15/10 = 3/2   (y = 3/2)

step 7: convert the improper fraction into a mixed number

ex: 3/2 = 1 1/2   (y = 1 1/2)

step 8: check your answer by plugging in why with 1 1/2

ex: 10/2 1/2 = 6/1 1/2

10/5/2 = 6/3/2

4 = 4 (if both sides of the equation are the same like 4 = 4 then your answer is true meaning y = 1 1/2) P.S may i have brain if this has given you more enlightenment on solving fractions with one variable

Answer:

d

Step-by-step explanation:

Answer:

I think it's D

Step-by-step explanation:

Sorry if im wrong.

The cartesian equation for the curve given by r = 9 tan(θ) sec(θ) is:

y = x(sec(x))^2, where x = θ - π/2.

The given polar equation can be simplified using the trigonometric identity for tangent and secant:

r = 9 tan(θ) sec(θ)

r = 9 sin(θ) / cos(θ) * 1 / cos(θ)

r = 9 sin(θ) / cos^2(θ)

Converting to cartesian coordinates using r^2 = x^2 + y^2 and x = r cos(θ), y = r sin(θ), we get:

(x^2 + y^2) = 81 y / x^2

Multiplying both sides by x^2, we get:

x^2 + y^2 = 81y / x^2 * x^2

x^2y^2 + x^4 - 81y = 0

Substituting x = θ - π/2, we get:

(y / (θ - π/2))^2 + (y / (θ - π/2))^4 - 81y = 0

Simplifying this expression gives us the cartesian equation for the curve:

y = x(sec(x))^2, where x = θ - π/2.

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The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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Answer: 40 tons

Step-by-step explanation:

One Ton= 2,000 lbs.

80,000/2,000= 40

Answer:

B

Step-by-step explanation:

reason is is that in the text it only says that they are healthy it does not say anything about the subjects having cancer and you know what the answer is actually c

sorry