If 3 cups of flour weigh 12 oz., how many cups of
flour are there in 4 lb. of flour?
Answer:
16 cups
Step-by-step explanation:
In order to find the answer to this question we need to solve it using what we know about unit measurements.
3 cups = 12 oz
\(12\div 3 = 4\)
1 cup = 4 oz
1lb = 16 oz
\(4\times4=16\)
4 cups = 1lb
16 cups = 4lb
=16 cups
Hope this helps.
A meter is to be bolted to a switchboard. The meter studs that will fit into the holes on the switchboard are 0.4365 -inch in diameter. What are the hole sizes, expressed in decimal form, if they are to be 1.32-inch larger in diameter than the studs
The hole size required for the meter to be bolted to the switchboard is 1.7565 inches in diameter, expressed in decimal form.
To find the hole size for the meter to be bolted to the switchboard, you need to add the given diameter difference of 1.32 inches to the diameter of the meter studs. The meter studs are 0.4365 inches in diameter. So, the calculation is as follows:
Hole size = Meter stud diameter + Diameter difference
Hole size = 0.4365 inches + 1.32 inches
Hole size = 1.7565 inches
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Find the area in both questions if possible
High school geometry
Answer:
Step-by-step explanation:
a 141.61
b 8.64
c
Im bored
Please help this is due worth 22 points
Answer:
1 is
for 1 disc is $16.50
for 2 disc is $33.00
for 3 disc is $49.50
and
2 is
for 1 book is $6.95
for 2 books is $13.90
for 3 books is $20.85
Step-by-step explanation:
brainliest pls
First person gets marked Brainliest!
(If your not first don't ask to be marked because I said first. Unless, it’s on accident.)
Answer:
-6
Step-by-step explanation:
yw
The dimensions of a right rectangular prism are shown below.
1 in.
in
How many cubes with side lengths of 3 inch are needed to fill the prism without gaps or overlaps?
I will mark brainliest.
The number of cubes will be 546.
What is the volume?The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.
The volume of the cuboid is,
Volume = (2¹/₆ x 1¹/₆ x 1 )
Volume = ( 13 / 6 ) x ( 7 / 6)
Volume = 91 / 36
The volume of a small cube is:-
Volume = (1/6) x (1/6)
Volume = 1/216
The number of cubes is,
Number = (91/36) ÷ (1/216)
Number = (91 x 216) / 36
Number = 546
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if I'm 2 lessons into a class and my progress bar says that I am 1/3 of the way complete. How many lessons are in the class?
Answer:
Well you have 6 lessons in total.
Step-by-step explanation:
if you finished 2 lessons you are 1/3
It is basically the same as 2/6 lessons
so
2/6 = 1/3
You have 6 lessons
Answer:
6
Step-by-step explanation:
Ali wants to use 210
one-centimetre cubes to mak
a cuboid such that each of its sides is longer than
1 cm. There are 6 possible cuboids that he can
make. Find the dimensions of any 3 of them.
So on solving the provided question, we can say that volume of cuboid = l X b X h; V = 1200 cubic cm
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic:
In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
volume of cuboid = l X b X h
V = 10 *10*12
V = 1200 cubic cm
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Solve the equation: 3(x + 2) = 40.2 *
please help
Answer: x=11.4
Step-by-step explanation: 3(x+2)=40.2
(3)(x)+(3)(2)=40.2
3x+6=40.2
3x+6−6=40.2−6
3x=34.2
3x /3 = 34.2 /3
x=11.4
5. Marianne has a credit card with a line of credit at $15,000. She made the following purchases:
$1,374.90, $266.21, 39.46, and $903.01. What is Marianne's available credit?
Answer:
Available credit = $2,416.42
Step-by-step explanation:
$1,374.90
$266.21
39.46
$903.01
Sum = $2,583.58
$2,583.58 was spent. Subtract this from $5,000 to find Marianne's available credit.
$5,000
- $2,583.58
Available credit = $2,416.42
determin the open intervals of the domain for the the function shown in the graph below
Given: Graph of the function.
Required: Open interval of the domain for which the function is
(a) increasing
(b) decreasing
(c) constant
Explanation:
Firstly, if we see from left hand side, function is coming downwards that is it is decreasing.
Then at a point, it stops decreasing and become constant.
Then after a point it starts going upwards, that it starts to increase.
Now,
(a) increasing
The function starts increasing at x = 2, and it keeps on increasing after that (as the arrow suggests)
So the open interval in which the function is increasing is
\((2,\infty)\)(b) decreasing
The function is decreasing in the beginning, and it decreases till x = -2
So the open interval in which the function is decreasing is
\((-\infty,-2)\)(c) constant
The function remains constant in the open interval
\((-2,2)\)Final answer:
The function is
(a) increasing in
\((2,\infty)\)(b) decreasing in
\((-\infty,-2)\)(c) constant in
\((-2,2)\)The marked price of an article is Rs.2080. After allowing d% discount and levying(d-2)% VAT,the cost of the article becomes Rs 1997.84. find the discount amount and VAT amount
The discount rate is 15% and the VAT rate is 13%
What is the value of the discount?The following can be deduced:
MP = 2080
Discount = d%
VAT = (d-2)%
Cost = 1997.84
Apply discount:
2080 - d% = 2080*(1 - 0.01d)
Add VAT:
2080*(1 - 0.01d) + (d - 2)%
2080*(1 - 0.01d) * (1 + (d -2)/100)
2080*(1 - 0.01d) * (0.98 + 0.01d)
= 1997.84
(1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
0.98 + 0.01d - 0.0098d - 0.0001d²
= 0.9605
- 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
0.0001d²- 0.0002d - 0.0195 = 0
d² - 2d + 195 = 0
Solving the quadratic equation we get:
d = 15
Therefore discount is 15%
VAT rate = d - 2 = 15% - 2% = 13%
The concept shown above is the calculation for the discount and the amount of the value added tax.
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You received a $100 gift certificate to a clothing store. The store sells T-shirts for $15 and dress shirts for $22. You want to spend no more than the amount of the gift certificate. You want to spend at least $90. You need at least one dress shirt. What are all the possible combinations of T-shirts and dress shirts you could buy?
Answer:
0 T, 4 D
1 T, 3 D
2T, 3D
3T, 2D
4T, 1D
5T, 1D
Step-by-step explanation:
So let's start with what we know!
Gift certificate = $100
T-shirts = $15 each
Dress shirts = $22 each
You need to buy at least one dress shirt in the process and at least spend $90
You can simply find the combinations by going in desmos and writing in:
15x + 22y <= 100
y > 1
15x + 22y >= 90
Find the combinations by looking at the integer values of x, and using only the integer values of y ( do not round them, just cut them down to the integer). Look where all the regions are shaded
The possible combinations are as follows
Note: I am going to initial t-shirts to T and dress shirts to D
0 T, 4 D
1 T, 3 D
2T, 3D
3T, 2D
4T, 1D
5T, 1D
Your welcome for the answer! If you have any questions, let me know in the comments section! If you could mark this answer as the brainliest, I would greatly appreciate it!
there is a severe shortage of critical care doctors and nurses to provide intensive-care services in hospitals. to offset this shortage, many hospitals, such as emory hospital in atlanta, are using electronic intensive-care units (eicus) to help provide this care to patients (emory university news center). eicus use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as australia - can provide critical care services to patients located in remote hospitals without fully staffed icus. one of the most important metrics tracked by these eicus is the time that a patient must wait for the first video interaction between the patient and the eicu staff. consider the following sample of patient waiting times until their first video interaction with the eicu staff. click on the datafile logo to reference the data. wait time (minutes) 40 46 49 44 45 45 38 51 42 46 41 45 49 41 48 42 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 40 37 39 43 a. compute the mean waiting time for these patients (to decimals). minutes b. compute the median waiting time (to decimals). minutes c. compute the mode (to decimal). minutes d. compute the first and third quartiles (to decimals). first quartile: minutes third quartile: minutes
The eICU waiting time data consists of 40 patient wait times in minutes. The mean wait time is 43.3, there is no comparison given, mode is 42, and first and third quartiles are 41 and 45 respectively.
a. To compute the mean waiting time for the 40 patients, we need to add up all the waiting times and then divide by the total number of patients. The mean waiting time can be calculated as follows:
(40 + 45 + 42 + 49 + 49 + 43 + 55 + 42 + 44 + 40 + 46 + 45 + 46 + 41 + 40 + 42 + 43 + 40 + 45 + 37 + 49 + 38 + 41 + 48 + 42 + 41 + 42 + 49 + 61 + 39 + 44 + 51 + 45 + 42 + 43 + 41 + 40 + 43 + 37 + 43) / 40 = 44.5 minutes
So the mean waiting time for the 40 patients is 44.5 minutes.
b. To compare the mean waiting time, we would need a reference point, such as the average waiting time for similar patients in a different hospital, or the target waiting time set by the hospital or healthcare organization. Without this information, we cannot make a comparison.
c. To compute the mode, we need to find the value that occurs most frequently in the data set. The mode of the waiting times is 42 minutes, as it occurs the most (3 times).
d. To compute the first and third quartiles, we need to order the data set from smallest to largest and then find the values that correspond to the 25th and 75th percentiles. The first quartile (Q1) represents the 25th percentile and the third quartile (Q3) represents the 75th percentile. The formula for finding the quartiles is as follows:
Q1 = (n + 1) / 4 * (th) value
Q3 = (3n + 3) / 4 * (th) value
Where n is the number of values in the data set and th value represents the th ordered value.
So for the 40 waiting times, Q1 can be calculated as follows:
Q1 = (40 + 1) / 4 * (10th) value = 10.25th value = 41 minutes
And Q3 can be calculated as follows:
Q3 = (3 * 40 + 3) / 4 * (30th) value = 30.75th value = 46 minutes
So the first quartile (Q1) is 41 minutes and the third quartile (Q3) is 46 minutes.
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Complete question is in the image attached
Which of the following is a zero of the polynomial x3 6x2 11x 6?
The required value zeros of the given polynomial are given as -1, -2, and -3.
What are the zeros of the polynomial?Zeros of the polynomial function are the values of the dependent variable, when putting that value in the expression, the expressions explicitly give zero.
Here,
Let the given expression is equal to zero,
x³+ 6x²+ 11x+ 6 = 0
Factorization of the above expression gives.
(x + 1)(x + 2)(x+3) = 0
Now, for the zeros,
x + 1 = 0; x +2 = 0; x + 3 = 0
x = -1 ; x = -2 ; x = -3
Thus, the zeros of the given expression's zeros are -1, -2, and -3.
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The correct answer for this is x= -1, x = -2 and x =-3
How many square meters are there in a floor that is 9 meters long by 14 meters wide?
Answer:
126 sq. meters
Step-by-step explanation:
A = lw
= 9(14)
= 126 sq. meter
If the ladder is 25 feet long. How far away from the wall is the base of the ladder?
Answer:
15 feet
Step-by-step explanation:
\(a^{2} +b^{2} =c^{2} \\a^{2} +(20)^{2} =(25)^{2} \\a^{2} +400=625\\a^{2} =225\\a=15\)
Answer:
15 feet
Step-by-step explanation:
We can imagine the structure as a right triangle: the right angle is formed where the ground meets the wall.
In a right triangle, "a" is a leg, which we can represent as the distance from the base of the ladder to the wall"b" is also a leg, we can represent this as the height of the ladder above ground"c" is the hypotenuse, or in this case, the length of the ladderBased on the question:
a is unknown, and what we are solving forb is the height of 20 ftc is the length of the ladder or 25 ftWe can solve using the Pythagorean theorem: a² + b² = c²
Solve:
a² + b² = c²a² + 20² = 25²a² + 400 = 625a² = 225a = √(225)a = 15The distance from the base of the ladder to the wall is 15 feet.
-Chetan K
HELP RIGHT AWAY!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
-x +8y = 4
8y = x+4
y = x/8 + 1/2
y= mx +b
where b is the y-intercept
y- intercept is 1/2
x/8 +1/2 = 0
x/8 = -1/2
2x = -1*8
x = -8/2 = -4
x- intercept is -4
Danny has 2 1/2 pounds of coffee grounds which show how many Danny could use the coffee grounds over three days
The correct expressions are;
B). 2/2 + 2/2 + 1/2 = 2.5
D). 1 1/2 + 1/2 + 1/2 = 2.5
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Danny has 2 1/2 pounds of coffee grounds.
2 1/2 = 2.5
The choices are given in the image.
A). 3/2 + 2/2 + 1/2 = 6/2 = 3 ≠ 2.5.
B). 2/2 + 2/2 + 1/2 = 2.5
C). 1 + 1 + 1/2 + 1/2
But this shows the situation for four days,
So, this option is discarded.
D). 1 1/2 + 1/2 + 1/2 = 2.5
Therefore, B and D are the correct options.
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For what value of x do 2x+3 and 3x-6 have the same value
Answer:
x = 9
Step-by-step explanation:
\(2x + 3 = 3x - 6\)
\(3 = x - 6\)
\(x = 9\)
How much larger is the digit 3 in 903.7 than the value of the digit 3 in 4.31?
Answer:
10 times larger.
The 3 in 903.7 is in the ones place, and the 3 in 4.31 is in the tenths place, which is to the left of the decimal one time.
If you were to move the 3 in 4.31 to the right of the decimal like where the 3 is in 903.7, then you would be increasing the 3s value by 10.
Step-by-step explanation:
Hope it helps! =D
A Ferris wheel has a diameter of 90 feet. If a rider starts at the bottom of the wheel, how many feet does the rider travel after one full turn of the wheel? Record your answer in the boxes. Then fill in the bubbles. Be sure to use the correct place value.
Answer:
I dont get the question :(
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2006, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 844.
The linear regression equation is given as y = -37.7x + 1152.3
What is linear regression?linear regression is used to estimate the relationship between two quantitative variables.
Regression models describe the relationship between variables by fitting a line to the observed data. Linear regression models use a straight line, while logistic and nonlinear regression models use a curved line. Regression allows you to estimate how a dependent variable changes as the independent variable(s) change.
In the given problem, we have our data and we can calculate the linear regression line as;
Sum of x = 6
Sum of y = 4383
Mean x = 1.5
Mean y = 1095.75
Sum of squares (SSx) = 5
Sum of products (SP) = -188.5
Regression Equation = y = bx + a
b = SP/SSx = -188.5/5 = -37.7
a = My - bMx = 1095.75 - (-37.7*1.5) = 1152.3
y = -37.7x + 1152.3
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Resuelve: 6 (3n + 6) - 6 = -3 (n + 4)
Answer:
n = -2
Step-by-step explanation:
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( give me brainllest)
Every matrix transformation is a linear transformation.a. Trueb. false
True , Every matrix transformation is a linear transformation.
Is there a linear transformation for every matrix operation?
Despite the fact that every linear transformation is a matrix transformation, not all linear transformations are matrix transformations.
Because of this, it's possible that we'll encounter a linear transformation in which we're unable to locate a matrix to carry out the mapping.
What alteration does matrix entail?
In a two-dimensional or three-dimensional space, the transformation matrix converts one vector into another vector, which may be comprehended geometrically.
Stretching, squeezing, rotation, reflection, and orthogonal projection are some of the often utilized transformations.
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If 16 pizzas cost $84.80, how much will 12 pizzas cost in dollars?
Answer:
The 12 pizzas cost 63.6$
Step-by-step explanation:
So we get 84.80 divided by 16 which is equal to 5.3
So that's mean 5.3 is the price of 1 pizza
and here they are asking how much 12 pizzas would cost
which mean that we need to get 5.3 multiply by 12 which is 63.6$
So in conclusion 12 pizzas will cost 63.6$
Ryan invested \$4,800$4,800 in an account in the year 1990, and the value has been growing exponentially at a constant rate. The value of the account reached \$6,300$6,300 in the year 1998. Determine the value of the account, to the nearest dollar, in the year 2007.
well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.
\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)
\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)
now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?
\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)
A tank of water in the shape of a cone is being filled with water at a rate of 12 m/sec. The base radius of the tank is 26 meters, and the height of the tank is 18 meters. At what rate is the depth of
The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.
To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.
To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).
By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.
Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.
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what is x7 * x-5 ?????????
\(7x \times x - 5\)
Pemdas!
7x·1x=7x
\(7x - 5\)
This equation can't be evaluated, but you could make up. an answer by yourself, this is just the other way of saying x7·x-5
Answer:
7x²-5
Step-by-step explanation:
hope it helps
write y=x²+6x-1 in terms of r, given x/r=-3
Given:
\(y=x^2+6x-1\)
\(\dfrac{x}{r}=-3\)
To find:
The given equation in terms of r if \(\dfrac{x}{r}=-3\).
Solution:
Given that,
\(\dfrac{x}{r}=-3\)
\(x=-3r\)
We have,
\(y=x^2+6x-1\)
Substitute x=-3r in the above equation.
\(y=(-3r)^2+6(-3r)-1\)
\(y=9r^2-18r-1\)
Therefore, the required equation in terms of r is \(y=9r^2-18r-1\).