Answer:
4(6)+12=36
Step-by-step explanation:
The required, Tracy has a total of 36 ounces of juice in her refrigerator.
What is the equation model?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The expression for the total ounces of juice Tracy has in her refrigerator is:
4(6) + 12
The expression shown above shows the sum of the ounces of juice in the four cans that have 6 ounces each, plus the ounces of juice in the fifth can that has 12 ounces.
Evaluating this expression:
4(6) + 12 = 24 + 12 = 36
Therefore, Tracy has a total of 36 ounces of juice in her refrigerator.
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HURRY PLEASE
The amount of money spent at West Outlet Mall in Midtown continues to increase. The total T(x) in millions of dollars can be
estimated by the function 7(x) - 12(1.12), where x is the number of years after it opened in 1995. Graph and find the y-intercept.
a. 1.12
b. 12
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit
Answer:
12
Step-by-step explanation:
The y-intercept is when x=0.
In this equation, that would mean T(0)=12(1.12)^0=12(1)=12.
Hope this helped <3
Answer:
12
Step-by-step explanation:
Which name gives the most information about the shape below?
trapezoid
quadrilateral
rhombus
Answer:
trapezoid
Step-by-step explanation:
There is only one group of shapes that could be a trapezoid
A square, a rectangle, a rhombus, a trapezoid, a kite, and other 4-sided shapes fall under the category of quadrilateral
A rhombus, a parallelogram, and a square are all rhombuses
Easy math true or false?
Answer:
True
Step-by-step explanation:
It is true because the solutions are x = -4, -3, and 3.
I graphed the equations on the graph below.
If this answer is correct, please make me Brainliest!
Answer:
True
Step-by-step explanation:
is 3 yards greater than 36 inches ?
Answer:
No, it is the same amout
Step-by-step explanation:
there are 12 inches is 1 foot. 12*3 is 36
Answer: Yes it is.
Step-by-step explanation:
3 yards = 3 x 3 x 12 = 108 inches which is greater than 36 inches.
Evaluate the quadratic function, f(x) = 3x2
– 4x – 9 at x = -2
Answer:
11
Step-by-step explanation:
f(x) = 3x^2 – 4x – 9
Let x = -2
f(-2) = 3 (-2)^2 -4(-2) -9
=3(4) +8 -9
=12 +8 -9
20-9
11
7. A box contains fifteen billiards balls, numbered 1 through 15. Anna draws a ball, records the number, and then returns it to the box. Then Vicki draws a ball. Find the probability of getting a 9 then a 3. *
The probability of first drawing a ball numbered 9 and then drawing a ball numbered 3, with each ball being returned to the box between draws, is 1 in 225.
Explanation:The question is about calculating the probability of two specific events occurring consecutively when drawing billiard balls from a box that contains numbers 1 through 15. We focus on the probability of first drawing a ball numbered 9 and then, after returning it, drawing a ball numbered 3. Since each ball is returned to the box before the next draw, the number of possible outcomes does not change between draws.
For the first draw, the probability of drawing a 9 is 1 out of 15 (since there is one '9' ball and 15 total balls). When the 9 ball is returned, the probability of drawing a 3 on the second draw is also 1 out of 15. Because these two events are independent (the outcome of the second draw does not depend on the outcome of the first), we multiply the probabilities of each event to find the overall probability of both events occurring:
Probability of drawing a 9 and then a 3 = (1/15) * (1/15) = 1/225.
This means there is a 1 in 225 chance of drawing a 9 followed by a 3 when both balls are returned to the box in between draws.
Two numbers differ by five. Three less than four times the smaller number minus three times the greater number is 11. Find the numbers.
Answer:
29, 34
Step-by-step explanation:
Let x and y be the two numbers
x = y + 5
(4y - 3) - 3x = 11
4y - 3x = 14
4y - 3(y + 5) = 14
4y - 3y - 15 = 14
y = 29
x = 29 + 5 = 34
Why she is right Explanation ??? please help me
Answer:
y = - 5
Step-by-step explanation:
[tex] log_{2}( \frac{1}{32} ) = y \\ \\ log_{2}( \frac{1}{ {2}^{5} } ) = y \\ \\ log_{2}( {2}^{ - 5} ) = y \\ \\ {2}^{ - 5} = {2}^{y} \\ \\ - 5 = y \\ \\ \huge \red{ \boxed{y = - 5}}[/tex]
The graph below shows the function f (x) = StartFraction 5 x + 10 Over x squared + 7 x + 10 EndFraction.
On a coordinate plane, a hyperbola is shown. Both curves approach x = negative 5. There is a hole at x = negative 2.
Where is the removable discontinuity of f(x) located?
x = –5
x = 0
x = –2
x = 5
Answer:
The removable discontinuity of f(x) would be located at C: x = –2.
Also, the image linked below has the graph that is associated with this question. The original poster forgot to add that so if you needed to make sure this is the right question, there you go.
1 Point
The area of a rectangle with width x and length 6x is 6x2. What does the
coefficient 6 mean in terms of the problem?
O
A. The total area of the square is 6.
O
B. The length iş 6.
O
C. The length is 6 times the width.
O
D. The width is 6 times the length.
Answer:
C. The length is 6 times the width.
Step-by-step explanation:
Hope it helps you in your learning process.
If the equal sides of an isosceles right triangle measure 12 units then the measure of the hypotenuse is
Answer:
16.97056275
Step-by-step explanation:
12 squared + 12 squared = 288
square root of 288 = 16.97056275
The measure of the hypotenuse of an isosceles triangle with equal sides measureing 12 units is 16.97 units
What is an isosceles triangle?An isosceles triangle is a triangle that has two of its sides equal to each other . The base angle is also equal to each other.
The isosceles triangle is a right triangle. Since, one of the leg is 12 units, the other leg is also 12 units.
Using pythagora's theorem,
c² = a² + b²
c = √12² + 12²
c = √144 + 144
c = √288
c = 16.9705627485
c = 16.97 units
Therefore, the length of the hypotenuse is 16.97 units.
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f(x)= x+6; g(x) = 8x - 10
Find f(g(x))
Answer:
f(g(x)) = 8x - 4
Step-by-step explanation:
f(g(x)) = g(x) + 6
= 8x - 10 + 6
= 8x - 4
Answer:
f(g(x)) = 8x - 4
Step-by-step explanation:
Substitute x = g(x) into f(x), that is
f(g(x))
= f(8x - 10)
= 8x - 10 + 6
= 8x - 4
Jesse played two days of golf. On the second day, he got a score of 6 below par, or −6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Answer:
6
Step-by-step explanation:
The total of the two days adds up to 0. So define x as the score of the first day, and then have the equation x - 6 = 0.
Then solve,
x - 6 (+6) = 0 (+6)
x + 0 = 6
x = 6
Correct or Incorrect?
Ishaan thinks the distance between Island A and Island
Bis 7 miles.
Is he correct?
Why or why not
Yes
No
Please help me!
A giant water lily pad is shaped like a circle with a diameter of up to 9 feet. Find the circumference and area of the pad. Use 3.14 for π. Round to the nearest tenth. Drag and drop the numbers into the boxes to show the circumference and area of the pad.
(fill in the blanks)
The circumference of the lily pad is about [ ] ft.
The area of the lily pad is about [ ] ft^2.
(options for both: 14.1, 63.6, 254.3, 28.3)
Answer:
Circumference of the lily pad is about 28.3 ft
Area of the lily pad is about 63.6 ft²
Step-by-step explanation:
Formula for circumference of circle is,
Circumference = 2 π r
Given that diameter is 9 ft. Therefore radius is half of diameter.
[tex]r=\dfrac{d}{2}[/tex]
Substituting the values,
[tex]r=\dfrac{9}{2}=4.5[/tex]
Also value of π = 3.14
Substituting the value,
C = 2 × 3.14 × 4.5
Simplifying,
C = 28.26 ft
Rounding to nearest tenth value of circumference is C = 28.3 ft.
Formula for area of circle is,
A = π r²
Substituting the values,
A = 3.14 × 4.5²
Simplifying,
A = 63.585 ft².
Rounding to nearest tenth value of area is A = 63.6 ft².
The data below shows the scores of some students on a test:
28, 30, 22, 20, 24, 23, 32
Which box plot represents the data?
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 32. Above the line is written Student Scores. Correct Answer
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 35. Above the line is written Student Scores.
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 26 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 30. Above the line is written Student Scores.
A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 25. The whiskers end at 20 and 32. Above the line is written Student Scores.
North Carolina: 79.6 years
Oregon: 82 years
District Of Columbia: 77.9 years
Nevada: 81.3 years
New York: 82.5 years
Colorado: 80.9 years
Alaska: 74.9 years
Connecticut: 82.7 years
Montana: 74.1 years
Mississippi: 74.2 years
please answer all questions to the best of your ability!!
will rate brainliest!!
thank you so much
Answer:
See below
Step-by-step explanation:
Think: They want us to make a box-o-gram (histogram and box-whisker-plot combo).
Identify: They gave us the information we need and we know that health care varies in each state, so that affects the life longevity and also different imcomes affect the care people resceive. We will make the box-o-gram after ordering the data appropriately.
Do: After ordering the numbers from least to greatest, we make calculations for the medians and mean. Here are the answers:
Least: 75 (Need to round up for this)
Greatest: 83 (Need to round up)
Q1: 90.2 (Got this by adding the two numbers of the upper half of data and dividing by 2)
Median/mean: 80.2 (Average of the data)
Q3: 85 (Rounded. Got this by adding the two numbers of the middle half of data and dividing by 2)
Answer:
A: 75
B: 80.2
C: 90.2
D: 85
E: 83
Yes, this makes sense since the data on the box-o-gram fall within the data given in the chart at the top of the worksheet.
The newest iPad costs $850 and has a sales tax of 11%. What will be the total cost?
Answer:
$943.5
Step-by-step explanation:
Tax: 11% of 850
11/100 × 850 = 93.5
Total cost = 850 +93.5
= 943.5
A total is $943.50.
To calculate the total cost of the newest iPad including the sales tax, we need to add the tax to the initial price of the product. The iPad costs $850, and the sales tax rate is 11%. To find the tax amount, convert the percentage to a decimal by dividing by 100, which gives us 0.11, and then multiply this by the cost of the iPad.
Sales Tax = iPad Cost x Tax Rate
Sales Tax = $850 x 0.11
Sales Tax = $93.50
Now, to find the total cost, add the initial iPad cost to the sales tax:
Total Cost = iPad Cost + Sales Tax
Total Cost = $850 + $93.50
Total Cost = $943.50
HELP I WILL MARK YOU BRAINLEST!!
A company’s mean salary is $65,000 with a standard deviation of $6,000. What is the probability that an employee makes between $70,000 and $80,000?
Answer:
0.19706
Step-by-step explanation:
-Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:
[tex]P(70000<X<80000)=P(\frac{X_1-\mu}{\sigma}<z<\frac{X_2-\mu})\\\\=P(\frac{70000-65000}{6000}<z<\frac{80000-65000}{6000})\\\\=P(0.8333<z<2.5)\\\\\\=0.99379-0.79673\\\\=0.19706[/tex]
Hence,the probability that an employee makes between $70,000 and $80,000 is 0.19706
Final answer:
To find the probability that an employee makes between $70,000 and $80,000, we calculate the z-scores and use the z-table. The probability is 0.1971.
Explanation:
To find the probability that an employee makes between $70,000 and $80,000, we need to calculate the z-scores and use the z-table.
First, we calculate the z-score for $70,000:
z = (X - μ) / σ
z = (70000 - 65000) / 6000 = 0.8333
Next, we calculate the z-score for $80,000:
z = (80000 - 65000) / 6000 = 2.5
Using the z-table, we can find the probabilities associated with these z-scores. The probability of an employee making less than $70,000 is 0.7967, and the probability of an employee making less than $80,000 is 0.9938. Therefore, the probability of an employee making between $70,000 and $80,000 is:
P(70000 < X < 80000) = P(X < 80000) - P(X < 70000) = 0.9938 - 0.7967 = 0.1971
find the radius of circle j !!
Answer: 5.38
Step-by-step explanation:
a^2+b^2= c^2
4^2+ 3.6^2=c^2
16+ 12.96=c^2
28.96=c^2
Sq rt of 28.96
C= 5.38
Truncate the decimal expansion of
6
to find the best approximation.
A) 1.8 <
6
< 1.9
B) 1.80 <
6
< 1.85
C) 1.81 <
6
< 1.82
D) 1.82 <
6
< 1.83
Truncate the decimal expansion of √3.6 is 1.89.
The correct option is A.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Given:
An expression,
decimal number √3.6.
The value of √3.6 = 1.8973.
From the given choices:
It will lie between,
1.8 < √3.6< 1.9
Therefore, 1.8 < √3.6 < 1.9.
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The complete question:
Truncate the decimal expansion of √3.6 to find the best approximation.
A)1.8 < √3.6< 1.9
B)1.80 < √3.6< 1.85
C)1.81 < √3.6< 1.82
D)1.82 < √3.6 < 1.83
A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits inside a \blueD{3\,\text{cm} \times 4\,\text{cm}}3cm×4cmstart color #11accd, 3, start text, c, m, end text, times, 4, start text, c, m, end text, end color #11accd rectangle
Answer:
[tex]8.86cm^2[/tex]
Step-by-step explanation:
Given the rectangle of 3cm by 4cm and a circle of 1 cm inside it:
The Area of the shaded portion =Area of Rectangle-Area of Circle
Area of a Rectangle=Length X Width[tex]=3 X 4 =12cm^2[/tex]
Area of the circle =[tex]\pi r^2=\pi X 1^1=3.142cm^2[/tex]
Area of the shaded portion=12-3.142
[tex]=8.86cm^2[/tex]
The area of the shaded region inside the rectangle but outside the circle is 8.86 cm².
Explanation:A circle with a radius of 1 cm sits inside a rectangle with dimensions of 3 cm by 4 cm. To solve this problem, we can use the formula to find the area of a rectangle and the area of a circle.
The area of the rectangle is calculated by multiplying its length by its width, giving us an area of 12 cm². The area of the circle can be found using the formula A = πr², where A represents the area and r represents the radius.
Plugging in the given radius of 1 cm, we find that the area of the circle is π cm², which is approximately 3.14 cm². Therefore, the area of the shaded region (the region inside the rectangle but outside the circle) is 12 cm² - 3.14 cm² = 8.86 cm².
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Solve the inequality.
y − 3 ≥ −5
Answer:
y≥−2
Step-by-step explanation:
Answer:
y _> -2
Step-by-step explanation:
you add 3 to both sides which leaves you with -2
Could anyone help me with this? I will mark you as brainliest
Answer:
the right answer is number 7
Answer:
= 7
Step-by-step explanation:
[tex] \frac{ {7}^{8} \times {7}^{3} \times {7}^{4} }{ {7}^{9} \times {7}^{5} } \\ = \frac{ {7}^{8 + 3 + 4} }{ {7}^{9 + 5} } \\ = \frac{ {7}^{15} }{ {7}^{14} } \\ = {7}^{15 - 14} \\ = 7[/tex]
What is the value of x and the length of segment DE?
1.5=
2x
9
+ 3
2. 10x + 15 = 9(9)
2x + 3
x=
Length of DE =
units
Intro
Done
Answer:
x = 6.6; DE = 16.6
Step-by-step explanation:
Assume the diagram is like the figure below.
1. Calculate the value of x
In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.
Thus, ∆CDF ~ ∆FDE, and
[tex]\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}[/tex]
2. Calculate the length of DE
DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2
Answer:
X= 6.6
DE= 16.2
Step-by-step explanation:
Selena spends $53.94 to buy a necklace and a bracelet set for each of her friends. Each necklace cost 9.99, and each bracelet costs 7.99. How many necklace and bracelet sets, s, did selena buy?
Answer:
3 sets
Step-by-step explanation:
each set is 17.98 (adding necklace and bracelet)
Total is 53.94
dividing 53.94 (amount spent) by 17.98 (cost of set)
Results in 3 sets
Answer:
She bought 3 necklace and bracelet sets
If i can be brainliest that would be great
Step-by-step explanation:
Each set contains a necklace and a bracelet
∵ Each necklace cost $9.99
∵ Each bracelet cost $7.99
∴ The cost of one set = (9.99 + 7.99)
∵ She spent on them $53.94
- Add the cost of a necklace and the cost of a bracelet and
multiply the sum by x and then equate the product by 53.94
∴ (9.99 + 7.99)x = 53.94
∴ 17.98 x = 53.94
- Divide both sides by 17.98
∴ x = 3
Which of these are mathematical sentences? Check all that apply.
O
A. b + 41 = 93
OB. + 23
OC. 93
O D. 7y= 49
Answer:
A, D
Step-by-step explanation:
A is a completed statement and b can be solved.
B is an incomplete statement.
C is just a number.
D is a completed statement and y can be solved.
Which of the following is true of functions and their inverses?
The inverse of a quadratic function is not a function.
The inverse of a quadratic function is always a function.
The inverse of a linear function is not a function.
The inverse of a linear function is always a function.
The inverse of a quadratic function is not always a function, as it can assign multiple outputs to a single input. Conversely, the inverse of a linear function is always a function because it strictly assigns one output to each input.
Explanation:The presented statements about the nature of functions and their inverses are particularly related to the definition of a function. A function is a rule which assigns to each input exactly one output. Considering this, the inverse of a quadratic function is not always a function because it can assign multiple outputs (y-values) to a single input (x-value). This is why the graph of a quadratic function doesn't pass the 'horizontal line test', which is a criterion for a graph to represent a function.
On the other hand, the inverse of a linear function is indeed always a function. Because a linear function always assigns exactly one output to each input, its inverse will also satisfy the definition of a function.
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Which function below will translate f(x) = x2 left 5 units and down 1 unit?
Answer:
its c. trust me
Step-by-step explanation:
The resultant function of the parent function f(x) = x², which is translate left 5 units and down 1 unit, is f(x) = (x+5)^2-1.
What is transformation of a function?Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.The given function is,
[tex]f(x) = x^2[/tex]
It has to be translated left 5 units. For this we have to add 5 units in the above function. Thus the function become,
[tex]f(x) = (x+5)^2[/tex]
Now the function is translated down 1 unit. For this we have to substract 1 units outside of the above function. Thus the function become,
[tex]f(x) = (x+5)^2-1[/tex]
Hence, the resultant function of the parent function f(x) = x², which is translate left 5 units and down 1 unit, is f(x) = (x+5)^2-1.
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The eastward translation of the rose garden is along which axis? What integer represents a change of two yards east?
Answer:
a) + x direction, b) [tex]+2\,yd[/tex].
Step-by-step explanation:
a) According to the Cartesian plane, an eastward translation implies a movement in the +x direction.
b) [tex]+2\,yd[/tex]
Coordinate geometry involves the use of a plane to represent positions.
The axis of the eastward translation is the x-axisTwo yards east can be represented using the integer 2 or +2.On a coordinate geometry, eastward translation is represented by the horizontal (or x-axis).
Hence, the axis of the eastward translation is the x-axis
A change of two yards east:
The axis of the eastward translation is the x-axis
And it is along the positive x-axis
Hence, two yards east can be represented using the integer 2 or +2.
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