Answer:
59.5 in³
Step-by-step explanation:
You want the extra space inside a 4-inch cube after a box 2 inches long, 1.5 inches wide and 1.5 inches tall is placed inside.
VolumeThe volume of each box is the product of its dimensions:
Cube: (4 in)(4 in)(4 in) = 64 in³
Smaller box: (2 in)(1.5 in)(1.5 in) = 4.5 in³
SpaceThe extra space in the larger box is ...
64 in³ -4.5 in³ = 59.5 in³
The volume of extra space left in the gift box is 59.5 cubic inches.
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Please help this is due in 4 hours!!
Answer:2268
Step-by-step explanation: Add 10+26=36x3=108 720x3=2160 add those to get the answer
Triangle PQR has vertex coordinates at P(4, 0), Q(4, 3), R(5, 1). If the triangle is translated so that Q′(4, −5), determine the translation direction and number of units.
A: 8 units down
B: 8 units up
C: 8 units to the right
D: 8 units to the left
Thanks!
Help would be appreciated
Answer:
1.5 miles less
Step-by-step explanation:
Step 1: Find equation for Alexanda
We can see from Fabian's equation that there is a linear relationship between miles (y) and gallons (x).Fabian's equation is in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Although we're not given the equation for Alexandra, we can find it using the slope formula, which is[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
If we allow (8, 345.6) to be our x1 and y1 and (12, 518.4) to be our x2 and y2, our slope is
[tex]m=\frac{(518.4-345.6)}{(12-8)}\\ m=\frac{172.8}{4}\\ m=43.2[/tex]
Now, we must find the y-intercept by plugging in 43.2 for m, 8 for x, and 345.6 for y into the general slope-intercept form and solving for b:[tex]345.6=43.2(8)+b\\345.6=346.6+b\\0=b[/tex]
Thus, the equation for Alexandra is y = 43.2x
Step 2: Plug in 1 for x for both Fabian and Alexandra's equations and subtract
Since x is is gallons, we plug in 1 for x for each equation and subtract Fabian's miles from Alexandra's miles to find how many miles less can Fabian drive one 1 gallon of gas than Alexandra:
Fabian: y = 41.7(1) = 41.7
Alexandra: y = 43.2(1) = 43.2
Difference of Alexandra and Fabian's miles: 43.2 - 41.7 = 1.5
Please help me this is due today
a) The predicted heating cost for a month with temperature of 25 ºF is given as follows: $65.70.
b) The predicted heating cost for a month with temperature of 0 ºF is given as follows: $96.20
c) For an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The slope and the intercept for the function in this problem are given as follows:
Slope of -1.22, meaning that for an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.Intercept of 96.2, meaning that the predicted heating cost for a month with temperature of 0 ºF is of $96.20.Hence, the predicted cost for a month with temperature of 25ºF is given as follows:
y = -1.22(25) + 96.20 = $65.70.
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Carl sells snow cones at a baseball park. The graph shows the amount of ice used for the snow cones, in pounds, over a certain amount of time, in minutes.
Which of the following describes the graph?
Carl had 1 pound of ice after 2 minutes, used 8 pounds every minute for 4 minutes, and then used 3 pounds each minute for 6 minutes.
Carl had 2 pounds of ice after 8 minutes, used 8 pounds every minute for 4 minutes, and then used one half pound each minute for 6 minutes.
Carl had 4 pounds of ice after 1 minute, didn't use any ice for 4 minutes, and then used 2 pounds each minute for 6 minutes.
Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Answer: It is D. Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Step-by-step explanation:
Which of the following equations represents a linear function?
x = −2
y = 5x − 6
y equals negative one fifth times x squared
−3x + 2 = 4
Answer:
The equation that represents a linear function is:
y = 5x - 6
Step-by-step explanation:
This equation has a constant rate of change, which means that for every unit increase in x, there is a consistent and constant increase or decrease in y. This is a characteristic of linear functions, where the relationship between x and y is a straight line.
y = 5x - 6 is represents a linear function.
What is a linear function?
A linear function is a type of function in which the highest power of x is one. The graph of a linear function has only one solution, and intercept x - axis at only one point and intercepts y - axis at only one point as well.
Generally, the equation of a linear function is given as;
y = mx + c
where;
m is the slope of the graphc is the y intercept of the graphThe graph of a linear function is usually directly proportional, either increasing or decreasing.
From the options, only the function, y = 5x - 6 is a linear function.
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A football kicker attempted to make field goals from different distances from the goal post. The relationship between the distance from the goal post and the number of field goals made is shown in the scatter plot.
Which of the following tables of data represents the scatter plot in the image of the answers below?
Answer: D)
Step-by-step explanation:
Look at the data table then look at the scatterplot to see if the values line up.
10 field goals, 15 yards distance from the Goal Post.
9 field goals, 20 yards distance from the Goal Post.
10 field goals, 25 yards distance from the Goal Post.
11 field goals, 30 yards distance from the Goal Post.
And so on...
The table represents a linear relationship.
Which equation represents the table?
y equals one fourth times x minus 2
y equals negative one fourth times x plus 4
y = 4x − 2
y = −4x + 3
Answer:
y equals one fourth times x minus 2
Step-by-step explanation:
Equation of straight line:
y =ax + b
Find a and b by selecting at random two pairs from among the plots.
(0, -2)
-2 = a·0 +b
b =-2
(4, -1)
-1 = a.4 +(-2)
-1 =4a -2
1 = 4a
a = 1/4
Equation is : y=(1/4)x -2 y equals one fourth times x minus 2
Option (A) y equals one fourth times x minus 2.
Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss
Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?
Answer:
Step-by-step explanation:
Area of a square = length²
If the area of a square is given, in order to determine the length, find the square root of the area.
√16 / 36 = 4/6 foot
A scatter plot is shown on the coordinate plane.
Which two points would a line of fit go through to best fit the data?
(2, 5) and (6, 3)
(2, 5) and (4, 1)
(1, 7) and (9, 3)
(1, 7) and (5, 5)
Answer: I think it is the first one. (2,5) (6,3)
Step-by-step explanation: It looks like it is in the middle of all the points.
Please help on this question :)
Answer:
15 cm × 9.5 cm = 142.5 square cm
Answer:
The area of the given figure is 142.5 sq. cm.
Step-by-step explanation:
The area of a parallelogram is given by the base multiplied by the height. The base in the given figure is 15 cm whereas the height is 9.5 cm.
15 × 9.5 equals 142.5
Hence, the area is 142.5 sq. cm.
PLEASE HELP 50 POINTS!
You have been hired as a consultant by Mr. Robbins of the large Ice Cream company Dachshund Robbins. As part of assisting them with determining things like the number of cones that can be made per container of ice cream, they’ve asked you to determine the amount of ice cream in a properly filled cone.
Please note Mr. Robbins is very insistent that all cones be properly filled according to the sketch above, and that he’s running an honest business.
Answer:
What shapes is the cone composed of that we can find the volume of?
What is the volume of those shapes?
Find the volume of the composite shape for Mr. Robbins, and make sure to show your work. If necessary, round it off to the nearest hundredths place.
141.151 cm³
Step-by-step explanation:Given —
The composite shape hemisphere and a cone
Height of the cone = 9 cm
Radius = 3 cm
To find — Determine the amount of ice cream in a properly filled cone.
Formula used —
Volume of hemisphere = (2/3)πr³
Volume of cone = (1/3)πr²h
Amount of ice cream that can be filled = Volume of the composite figure
Radius of cone = 3 cm
Height of cone = 9 cm
Volume cone part = (1/3)π(3)²(9)
= π3(9)
= 84.85 cm³
Here, radius of the cone is the same as the radius of the hemisphere
→ Radius of hemisphere = 3 cm
→ The volume of the hemisphere = (2/3)π(3)³
= (2)π(3)²
= 56.57 cm³
Hence, the volume of the composite figure = 84.85 +56.57 = 141.151 cm³
Hope my answer helps you.
:)
Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss
The shape is composed by:
Hemisphere of radius 4 cm.Cone of radius 4 cm and height 10 cm.The volume of the hemisphere is given as follows:
Vh = (2/3)πr³
Vh = ⅔ x 3,14 x 4³
Vh = 134 cm³.
The volume of the cone is given as follows:
Vc = (1/3)πr²h
Vc = ⅓ x 3.14 x 4² x 10
Vc = 167.5 cm³.
Hence the total volume of the shape is given as follows:
V = Vh + Vc
V = 134 + 167.5
V = 301.5 cm³.
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semester test part 2.
help ASAP!!
will give brainliest
According to the information the expression that represents the average change in temperature each minute is -1.1°F/minute, and the average change in temperature each minute in the second experiment is -0.1°F/minute.
How to find the average change in temperature (first experiment)?a. To find the average change in temperature each minute, we need to calculate the total change in temperature over the 10 minutes and divide by the total number of minutes. We can represent the changes in temperature using the following values:
-2, -2, -2, -2, -3, -3, -3, 0, 0, 6
The total change in temperature is:
-2 -2 -2 -2 -3 -3 -3 + 0 + 0 + 6 = -11°F
The total number of minutes is 10, so the average change in temperature each minute is:
(-11°F) / (10 minutes) = -1.1°F/minute
Therefore, the expression that represents the average change in temperature each minute is -1.1°F/minute.
How to find the average change in temperature (second experiment)?b. Let's denote the average change in temperature each minute in the first experiment as x. Then the average change in temperature each minute in the second experiment is x+1°F/minute.
Using the same data as in part a, the total change in temperature in the second experiment would be:
(-2 -2 -2 -2 -3 -3 -3 + 0 + 0 + 6) * 1°F/minute = -11°F/minute
The total number of minutes is still 10, so the average change in temperature each minute in the second experiment is:
(-11°F/minute) / (10 minutes) = -1.1°F/minute
But this value is for the first experiment, so we need to add 1°F/minute to get the average change in temperature each minute in the second experiment:
-1.1°F/minute + 1°F/minute = -0.1°F/minute
Therefore, the average change in temperature each minute in the second experiment is -0.1°F/minute.
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Please help me i really need to pass this!
Answer:
i think A but can be B
Step-by-step explanation:
The track pictured consists of a rectangular area and two semi-circular areas. The area of a rectangular part of the track is 32,000 square yards. The length of the shorter side of track is 160 yards.
*One answer only*
a. 80
b. 160
c. 800
d. 900
e. 1,300
f. 37,024
This pattern can be represented by a quadratic expression.
True or False?
Answer:
False
Step-by-step explanation:
The points all correspond with each equation inputted into the graph
What number should go in the box to make the equation true? Explain how you got to your answer.
- (3/4) = ?/4
A. -3
B. 3
C. -4
D. 4
This pattern can be represented by a quadratic expression.
True or False?
Explain.⬅
Answer:false
Step-by-step explanation:
false because the lastone is different
Find the 16th term.
-8, -4, 0, 4, 8, ...
16th term= [?
an = a1 + (n - 1)d
Substituting the values
an = -8 + (n - 1)4
We have to find the 16th term n = 16
a16 = -8 + (16 - 1)4
a16 = -8 + (15)4
a16 = -8 + 60
a16 = 52
hope its right
PLEASE HURRY
Which math ratio represents efficiency?
A). Fi x do/Fo x di
B). Fo x di/Fi x do
C). Fi x di/Fo x do
D). Fo x do/Fi x di
The math ratio that represents efficiency is option D). Fo x do / Fi x di.In this ratio:Fi represents the input force or input quantity.di represents the input distance or input time.Fo represents the output force or output quantity.do represents the output distance or output time.Efficiency is typically calculated by comparing the output to the input. In the case of mechanical systems, it is often measured as the ratio of output work or energy to input work or energy.Therefore, the ratio Fo x do / Fi x di represents the output work or energy divided by the input work or energy, which is commonly used to determine efficiency in various contexts.
PLEASE HELP 75 POINTS!!!
Pick ONE of the following numbers from each category:
Category A 2√5 3√2 2√3
Category B √8 √10 √12
Category C -√6 -√3 -√11
Category D -2√2 -3√3 -2√8
Approximate the square root terms using the perfect squares approximation method, for your selection from Category A above. Your answer should be a mixed fraction. Make sure to show your work.
Insert->Equation will give you access to the special formatting
Approximate the square root terms using the perfect squares approximation method, for your selection from Category B above. Your answer should be a mixed fraction. Make sure to show your work.
Insert->Equation will give you access to the special formatting
Approximate the square root terms using the perfect squares approximation method, for your selection from Category C above. Your answer should be a mixed fraction. Make sure to show your work.
Insert->Equation will give you access to the special formatting
Approximate the square root terms using the perfect squares approximation method, for your selection from Category D above. Your answer should be a mixed fraction. Make sure to show your work.
Insert->Equation will give you access to the special formatting
Plot your approximations on the provided Number Line below.
Insert->Shape->Line will allow you to draw lines .
Answer:
Part A, Convert selection for Category A)
Part B, Convert selection for Category B)
Part C, Convert selection for Category C)
Part D, Convert selection for Category D)
Part E)
The mixed fraction approximation for the given terms using the perfect squares method are:
2√(4)√(5/4)3√(1)√(2/1)2√(1)√(3/1)How do we approximate the square roots using the perfect squares?To approximate the square roots using the perfect squares method, we need to find the largest perfect square that is less than each of the given terms, and then simplify.
For 2√5:
The largest perfect square less than 5 is 4, so we can write 2√5 as 2√(4)√(5/4).
Simplifying, we get:
2√(4)√(5/4)
= 2(2)√(5/4)
= 4√(5/4)
= 4√5/√4
= 4√5/2
= 2√5.
For 3√2:
The largest perfect square less than 2 is 1, so we can write 3√2 as 3√(1)√(2/1).
Simplifying, we get:
3√(1)√(2/1)
= 3(1)√(2/1)
= 3√2/√1
= 3√2.
For 2√3:
The largest perfect square less than 3 is 1, so we can write 2√3 as 2√(1)√(3/1).
Simplifying, we get:
2√(1)√(3/1)
= 2(1)√(3/1)
= 2√3/√1
= 2√3.
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i need EXTRA help with this PLEASE AND THANK YOU!
A grocery store receives a crate with contents that weigh 180 pounds. The contents consist of six 10-pound bags of potatoes and an unknown number of 5-pound bags of potatoes. Choose an equation that represents the number of bags of potatoes in the crate.
A: 6(10) + 180 = 5x
B: 10 + 6 + 5x = 180
C: 180 = 5 + 60x
D: 6(10) + 5x = 180
Answer:
6(10)+5x=180
Step-by-step explanation:
This is because there are 6 10-pound bags that we know of, so it would be 6(10).
Then, there are an unknown number of 5-pound bags, in which the variable would be x, so it would be 5x.
Lastly, the content weighs 180 pounds, so that's what the equation would be equal to.
John puts $70 in a savings account that earns 6% annually. The interest is not compounded. How many years will it take John to make at least $100 in interest?
Answer:
24 years
Step-by-step explanation:
If interest is not compounded, it is called simple interest.
Simple interest is calculated as a percentage of the principal amount and is applied only to the principal.
The formula for simple interest is:
[tex]\boxed{\sf I = Prt}[/tex]
where:
I = Total interest earned.P = Principal amount.r = Interest rate (in decimal form).t = Time (in years).The given values are:
I = $100P = $70r = 6% = 0.06Substitute the given values into the formula and solve for t:
[tex]\implies \sf 100=70 \cdot 0.06 \cdot t[/tex]
[tex]\implies \sf 100=4.2 t[/tex]
[tex]\implies \sf 4.2 t=100[/tex]
[tex]\implies \sf \dfrac{4.2 t}{4.2}=\dfrac{100}{4.2}[/tex]
[tex]\implies \sf t=23.8095238...\;years[/tex]
We need to round up to the next year. Therefore, it will take 24 years for John to make at least $100 in interest.
Answer:
approx. 24 years
Step-by-step explanation:
The formula to find the simple interest is:
[tex]\sf I= \frac{prt}{100}[/tex]
Here,
I ⇒ Interest ⇒ $ 100
p ⇒ principle ⇒ $ 70
r ⇒ rate ⇒ 6
t ⇒ time ( years )
Let us find the time taken using the formula.
[tex]\sf I= \frac{prt}{100}\\\\100=\frac{70*6*t}{100} \\\\100*100=420t\\\\10000=420t\\\\23.8\: years=t\\\\approx. \:24 \:years=t[/tex]
Please help! Im new to angles.
Answer:
The true statements are:
x + y = 90
x + y + 2z = 180
We have no information about x and y.
help me thank you if u did i forgot
Answer:
790,000
Step-by-step explanation:
The 5 represents the number by itself so it would be
10x10x10x10x10=100,000
7.9x100,000=790,000
Step-by-step explanation:
if you multiply something by 10 = 10¹, you move the decimal point 1 position to the right (and fill up with a 0, if necessary).
if you multiply something by 100 = 10², you move the decimal point 2 positions to the right (and fill up with 0s as needed).
if you multiply something by 1000 = 10³, you move the decimal point 3 positions to the right (and fill up with 0s as needed).
...
you see the pattern ?
so, when multiplying by 10⁵ (100,000) we shift the decimal point 5 pairings to the right and fill up with 0s as needed.
therefore,
7.9 × 10⁵ = 790,000.-
Answer my other questions, get brainliest!
Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
A: A′(−6, 4.5)
B: A′(4, 4.5)
C: A′(6, 3)
D: A′(6, 4.5)
Find the 25th term.
2, 10, 18, 26, 34, ...
25th term = [?]
an = a1 + (n - 1)d
Substituting the values
an = 2 + (n - 1)8
We have to find the 25th term n = 25
a25 = 2 + (25 - 1)8
a25 = 2 + (24)8
a25 = 2 + 192
a25 = 194
======================================================
Explanation:
The gap between adjacent terms is 8.
2+8 = 1010+8 = 1818+8 = 2626+8 = 34etcThe long way to get the answer would be to keep adding 8 to each term to generate the next one. You'd need to do this 20 times. There are 5 terms here already, so you need 25-5 = 20 more operations of "add 8".
I don't recommend this option. I recommend the shortcut mentioned in the next section.
--------
The shortcut would be to find the nth term of the arithmetic sequence
[tex]a_1 = 2 = \text{ first term}\\\\d = 8 = \text{ common difference}\\\\a_n = \text{ nth term}\\\\a_n = a_1 + d(n-1)\\\\a_n = 2 + 8(n-1)\\\\[/tex]
As a check, plug n = 1 into that formula to get [tex]a_1 = 2[/tex]. Plug n = 2 to get [tex]a_2 = 10[/tex] and so on. I'll leave this check portion for the student to do.
--------
The last step is to plug n = 25 into that formula to determine the 25th term.
[tex]a_n = 2 + 8(n-1)\\\\a_{25} = 2 + 8(25-1)\\\\a_{25} = 2 + 8(24)\\\\a_{25} = 2 + 192\\\\a_{25} = 194\\\\[/tex]
The final answer is 194-------
Extra section (optional):
We can use a spreadsheet to generate the 25 terms. This is to help check the answer.
2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194
1. What is the distance from the hazard buoy P to the southern landmark L2? Use this formula: , where d is the distance from P to L2, DL2 is the distance from D to L2, and PD is the distance from P to D. Round to the nearest foot. (5 points)
2. What triangles are similar? How do you know? (5 points)
3. What is the distance between buoy A and B? (5 points)
Answer:
My fault i need points
Step-by-step explanation:
The circle graph describes the distribution of preferred transportation method from a sample of 300 randomly selected San Francisco residents. circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent Which of the following conclusions can be drawn from the circle graph? Cable Car is the preferred transportation for 75 residents. Bicycle is the preferred transportation for 30 residents. Together, Streetcar and Bus are the preferred transportation for 25 residents. Together, Bus and Bicycle are the preferred transportation for 54 residents.
The following conclusions can be drawn from the circle graph:
Cable Car is the preferred transportation for 75 residents. (27% of 300 = 81 residents)
Together, Streetcar and Bus are the preferred transportation for 25% of residents. (15% + 10% = 25% of 300 = 75 residents)
The other two statements are incorrect:
Bicycle is the preferred transportation for 8% of residents, not 30. (8% of 300 = 24 residents)
Together, Bus and Bicycle are the preferred transportation for 18% of residents, not 54. (10% + 8% = 18% of 300 = 54 residents)
The area of the circle is 9/64π square units. The radius of a circle is blank units. The circumference of the circle is blank units.
*One radius and one circumference*
a. 9/32
b. 3/8
c. 3/4
d. 9/32π
e. 3/8π
f. 3/4π
Answer:
C = 2π(3/8) = 3π/4 units
Step-by-step explanation: The area of the circle is given by the formula A = πr^2, where A is the area and r is the radius.Therefore, 9/64π = πr^2Simplifying, we get:r^2 = 9/64Taking the square root of both sides, we get:r = 3/8The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.Therefore, the circumference of the circle is:C = 2π(3/8) = 3π/4 units