Answer:
Triangular Prism
Step-by-step explanation:
Mrs. Blue has eight packages of pencils that she wants to distribute evenly between her sixth grades students. There are 24 pencils in each package, and she has 22 students. How many pencils will be left over after Mrs. Blue has given each student the same number of pencils?
Answer:
2
Step-by-step explanation:
If there are 22 students and she has 24 pencils she would need to give each of them 1 pencil. 24-22= 2
The number of pencils will be left over after Mrs Blue has given each student the same number of pencils is 16 pencils.
Given that, Mrs Blue has eight packages of pencils that she wants to distribute evenly among her sixth grades students. There are 24 pencils in each package, and she has 22 students.
We need to find out how many pencils will be left over after Mrs Blue has given each student the same number of pencils.
What is the unitary method?The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit. It is a method that we use for most of the calculations in math.
There are 24 pencils in each package and there are eight packages of pencils.
So, the total number of pencils=8×24=192
Now, she is distributing evenly among 22 students=192/22=8.72
Then, 8×22=176
Mrs Blue is distributing 8 pencils to each student.
Number of pencils left=192-176=16
Hence, the number of pencils will be left over after Mrs Blue has given each student the same number of pencils is 16 pencils.
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a rectangle has a length of 8 inches and a width of 4 inches whose sides are changing. the length is decreasing by 7 in/sec and the width is shrinking at 10 in/sec. what is the rate of change of the area?
The length is decreasing by 7 in/sec and the width is shrinking at 10 in/sec , so the total area will decreased by -98 in/sec
What is area ?The area is the total measurement of all the space enclosed by a closed geometric figure.
Using the area of rectangle to find the formula for the area and the perimeter shows us..
A = L*W
P = 2L + 2W
dA/dt = L * dW/dt. + dL/dt * W
dP/dt = 2 * ( dL/dt + dW/dt )
We are given the following information...
L = 8 inches
W = 4 inches
dL/dt = -7 in/sec ( decreasing so the sign is negative )
dW/dt = -10 in/sec ( decreasing so the sign is negative )
dA/dt = L * dW/dt. + dL/dt * W
= 8 * -10 + -7 * 4
= -98 in/sec
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answer the picture above
Answer:
Send us a picture
Step-by-step explanation:
I NEED HELP!!
I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out and describe it
Answer:
-9x=12/-9
Step-by-step explanation:
-4(x+6)=5x+12
-4x-24=5x+12
-9x=12
x=12/-9
Answer:
x=-4
Step-by-step explanation:
-4(x+6)=5x+12
-4x-24=5x+12
-24-12=5x+4x
9x=-36
x=-36/9=-4
A sixth-grade science club needs $180 to pay for the tickets to a science museum. All tickets cost the same amount.
What could 180/15 mean in this context? Describe two interpretations of the expression. Then, find the quotient and explain what it means in each interpretation.
Answer: $12
Step-by-step explanation: Since all the tickets cost the same amount, then 180 which is the dividend means the total amount of money needed by the sixth grade science club
15 is the divisor and it represents the total number of tickets needed
The quotient is $12
So the cost of one ticket is $12.
Which equation represents a line that passes through the two points in the
table?
Answer:
The equation that represents the line that passes through the given points is y - 1 = \(\frac{5}{3}\) (x - 3) ⇒ A
Step-by-step explanation:
The point-slope form of the linear equation is y - y1 = m(x - x1), where
m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through points (3, 1) and (6, 6)
∴ x1 = 3 and y1 = 1
∴ x2 = 6 and y2 = 6
→ Substitute them in the rule of the slope to find it
∵ m = \(\frac{6-1}{6-3}=\frac{5}{3}\)
∴ m = \(\frac{5}{3}\)
→ Substitute the value of x1, y1, and m in the form of the equation above
∵ y - 1 = \(\frac{5}{3}\) (x - 3)
∴ The equation that represents the line that passes through the given
points is y - 1 = \(\frac{5}{3}\) (x - 3)
Find the coordinates of the point (x, y, z) on the plane z = 1 x + 1 y + 2 which is closest to the origin.
x =
y =
z =
The coordinates of the point closest to the origin are x = -1, y = 0, and z = 1.
To find the coordinates of the point (x, y, z) on the plane z = 1x + 1y + 2 that is closest to the origin, we can minimize the square of the distance from the origin to the point (x, y, z). The square of the distance, D², can be expressed as:
D² = x² + y² + (1x + 1y + 2 - 0)²
Taking partial derivatives with respect to x, y, and z and setting them to zero, we can find the critical points:
∂(D²)/∂x = 2x + 2(1x + 1y + 2)(1) = 0
∂(D²)/∂y = 2y + 2(1x + 1y + 2)(1) = 0
Solving these equations simultaneously:
x + y + 1 = 0
x = -y - 1
Substituting x into the equation for z:
z = 1(-y - 1) + 1y + 2
z = -y - 1 + y + 2
z = 1
So, the coordinates of the point closest to the origin are:
x = -1
y = 0
z = 1
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Given f(x)= -x - 2, find f(3)
Answer:
- 5
Step-by-step explanation:
Step 1:
f ( x ) = - x - 2
Step 2:
f ( 3 ) = - 3 - 2
Answer:
- 5
Hope This Helps :)
Simplify the expression
Answer:
-5
Step-by-step explanation:
(12+(-16)-6)/(4-2)
(6-16)/2
-10/2
-5
In a brand awareness study, 25 of a group of 35 males identify the brand correctly and 15 of a group of 35 females identify this brand correctly. The chi-square value for this study is approximately ________.
The approximate chi-square value for this study is 10.84.
In a brand awareness study involving 35 males and 35 females, 25 males and 15 females identified the brand correctly.
To find the chi-square value, we need to create a contingency table and apply the chi-square formula. Here's a quick breakdown of the process:
1. Create a contingency table:
Males Females
Correct 25 15
Incorrect 10 20
2. Calculate row and column totals:
Males Females Total
Correct 25 15 40
Incorrect 10 20 30
Total 35 35 70
3. Find the expected frequencies for each cell by multiplying row and column totals and dividing by the overall total (for example, for the 'Correct Males' cell, multiply 40*35 and divide by 70):
Males Females
Correct 20 20
Incorrect 15 15
4. Apply the chi-square formula: Χ² = Σ[(Observed-Expected)²/Expected]
Χ² = [(25-20)²/20] + [(15-20)²/20] + [(10-15)²/15] + [(20-15)²/15]
Χ² ≈ 5 + 2.5 + 1.67 + 1.67
Χ² ≈ 10.84
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hey! i’ll give brainliest thanks
Answer:
Southern
Step-by-step explanation:
A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters.
Answer:
yeuueiienndmsndhud8dh
gjkhg
Step-by-step explanation:
dhdjjxhdihdbvdhduhduhs
Latanya finds some nickels and pennies under the couch cushions. How many coins
does she have if she has 90 nickels and 150 pennies? How many coins does she have
if she has n nickels and p pennies?
Total coins, 90 nickels and 150 pennies:
Total coins, n nickels and p pennies:
The total number of coins Latanya has if she has 90 nickels and 150 pennies is 240.
The total number of coins Latanya has if she has n nickels and p pennies is n + p.
How to find the number of total coins?Latanya finds some nickels and pennies under the couch cushions.
Latanya has 90 nickels and 150 pennies.
Therefore, the number of coins she has can be calculated as follows:
number of nickels = 90
number of pennies = 150
Therefore,
total number of coins = 150 + 90
total number of coins = 240
If she has n nickels and p pennies, the total coins can be calculated as follows:
number of nickels = n
number of pennies = p
total coins = n + p
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what is the equation of the line in slope-intercept form?
The linear function for this problem is defined as follows:
y = x + 50.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph touches the y-axis at y = 50, hence the intercept b is given as follows:
b = 50.
When x increases by 10, y also increases by 10, hence the slope m is given as follows:
m = 10/10
m = 1.
Hence the function is given as follows:
y = x + 50.
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Which answer choice correctly identifies the extraneous information in the problem?
Anna babysat 2 children on Saturday night. She charges $8 an hour to babysit. She wants to save the money she earns babysitting to buy a stereo system that cost $225. If Nina babysat for 5 hours, how much money did she earn?
A. She charges $8 an hour and babysat for 5 hours.
B. She babysat 2 children on Saturday night and she wants to buy a stereo system that costs $225.
C. She babysat 2 children on Saturday night and she charges $8 an hour to babysit.
D. She wants to save the money she earns babysitting to buy a stereo system that costs $225 and she babysat for 5 hours.
Answer: B
explanation: I took the test ^w^
If Nina babysat for 5 hours, then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Anna babysat 2 children on Saturday night.
She charges $8 an hour to babysit
She wants to save the money she earns babysitting to buy a stereo system that cost $225
If Nina babysat for 5 hours, then we need to find how much money money did she earn.
8/225=5/x
Apply cross multiplication
8x=225(5)
8x=1125
x=1125/8
x=140.6=141
Hence, If Nina babysat for 5 hours, then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem
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What is the slope of the line?
Answer:
The slope is -3
Step-by-step explanation:
Answer:
slope is -3
Step-by-step explanation:
Given that a^b=x, evaluate the following: a^26 PLS HELP NOW
Answer:
Step-by-step explanation:
Find the log of both the equation and the expression:
b log a = log x this can be solved for log a in terms of log x:
log x
log a = ------------
b
"Name" the second expression "y." Then y = a^26 and log y = 26 log a.
log x
Then log y = 26--------------
b
and the expression a^26 is found by taking the antilog of both sides of log y:
log y log x
10 = y = 10^(26----------)
b
Please double check to ensure that you have copied this problem down correctly.
Matias launches a water balloon from a deck. The time, in seconds (sec.),
from the launch and the height. in meters (m), of the water balloon is given
in equation h(t) = t +3t-18
Determine when the water balloon will hit the ground.
On solving the provided question we can say that So, we have two solutions: t = (9/2) or t = (-6/2) = -3
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a single variable quadratic polynomial. a 0. Because this polynomial is of second order, the Basic Theorem of Algebra implies that it has at least one solution. Simple or complex solutions are possible. A quadratic equation is a quadratic equation. This means it has at least one word that must be squared. One of the most common solutions for quadratic equations is "ax2 + bx + c = 0." where a, b, and c are numerical coefficients or constants. where the variable "X" is unnamed.
So, we can set h(t) = 0 and solve for t:
\(0 = t^2 + 3t - 18\\t = (-3 + \sqrt (3^2 - 4(1)(-18))) / (2(1))\\t = (-3 + \sqrt (81)) / 2\\t = (-3 + 9) / 2\\\)
So, we have two solutions:
t = (9/2) or t = (-6/2) = -3
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p is directly proportional to (q+2)2.
When q = 1, p= 1.
Find p when q = 10.
Answer:
p = 16
Step-by-step explanation:
Given p is directly proportional to (q + 2)² then the equation relating them is
p = k(q + 2)² ← k is the constant of proportion
To find k use the condition when q = 1, p = 1
1 = k(1 + 2)² = k × 3² = 9k ( divide both sides by 9 )
\(\frac{1}{9}\) = k
p = \(\frac{1}{9}\) (q + 2)² ← equation of proportion
When q = 10 , then
p = \(\frac{1}{9}\) × (10 + 2)² = \(\frac{1}{9}\) × 12² = \(\frac{1}{9}\) × 144 = 16
if the distance to a star was suddenly cut in half, how many times brighter would the star appear?
If the distance to a star was suddenly cut in half, it would appear four times brighter.
The brightness of a star is directly proportional to the inverse square of its distance from us. This means that if the distance to a star is halved, its brightness will increase by a factor of four.
The relationship between brightness and distance can be expressed as follows:
B = k / d^2
where B is the brightness, k is a constant of proportionality, and d is the distance.
If the distance to the star is halved, it can be expressed as:
d' = d / 2
Plugging this into the equation for brightness, we get:
B' = k / (d / 2)^2
Expanding this and simplifying, we get:
B' = 4 * k / d^2
Since k is a constant, it cancels out and we are left with:
B' = 4 * B
This means that if the distance to a star was suddenly cut in half, it would appear four times brighter. In astronomical terms, this is equivalent to an increase of 2 magnitudes on the logarithmic magnitude scale.
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WILL GIVE BRAINLIEST
Answer:
the height is 15
Answer:
B) 15
Step-by-step explanation:
Volume of a cone formula:
V = πr²(h/3)
D/2 = r
10/2 = r
r = 5
393 = (3.14)5²(h/3)
393 = 78.5(h/3)
h = 15.02
h = 15
Help if you know the answer it due ASAP
Answer: ∠2 and ∠7
Step-by-step explanation:
Alternate exterior angles are a pair of angles on the outer side of each of the parallel lines but on opposite sides of the transversal.
Hope I helped!
Find the greatest number from to which when 7 is added, the sum divides 90,105,224 without leaving a reminder.
The greatest number from to which when 7 is added, the sum divides 90,105,224 without leaving a reminder is 8.
How can the number be known?We can represent the greatest number as x, which implies that the greatest number that when 7 is added it will divide the givn numbers without remainder, hence x +7 = hcf.
Then we can test for the factors of the given numbers on after the other as;
90 = (2 * 5 * 3 * 3)
105 = (5 * 3 * 7)
120 = (5 * 2 * 3 * 2 * 2)
Hence the hcf here can be expressed as 5 and 3 which is equivalent to 15
Then (x + 7) = 15
x = (15 - 7)
x = 8
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Benny gets paid $500 every two weeks. After his paycheck is deposited, he has to pay his cell phone bill of $30 and buy a birthday gift for his girlfriend. If Benny has $390 left in his account, how much did he spend on the gift?
Answer:
$80
Step-by-step explanation:
500-390-30
$80
\(-12 x \frac{2}{3}\)
According to the given question -12 \(\times\) 2/3 is equal to -8.
There are certain rules to solve this question.
multiply -12 × 2 = -24
And,
then divide it by 3 as stated in the denominator.
\(\frac{-24}{3}\) = -8
This is how we solve this equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
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what is the y-intercept of the graph of 4y - 1= 3
Answer:Using the slope-intercept form, the y-intercept is 1
A rock climber completing a two-minute training session climbed 12 meters higher on the wall during the second minute of the session. at the end of the two-minute session, the climber was back to the same spot she was at when the session started. what value represents the climber's change in elevation during the first minute of the training session
The value represents the climber's change in elevation during the first minute of the training session is 1/5.
Given,
During the second minute of a two-minute training session, a rock climber completed a 12-meter ascent up the wall. The climber returned to the identical location she had been in at the beginning of the two-minute session.
Let x be the distance climbed by the climber is x m
During the first minutes(60 seconds): distance climbed =\(\frac{x}{60}\)
In the 2nd minute, they climbed 12 m higher than in the 1st minute.
Now, the distance climbed by the climbed in the Second minute = \(\frac{x+12}{60}\)
Now, the change in the elevation during the first minute of the training session= \(\frac{x+12}{60}-\frac{x}{60} = \frac{12}{60}=\frac{2}{10}=\frac{1}{5}\)
Hence, the value represents the climber's change in elevation during the first minute of the training session is \(\frac{1}{5}\)
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HELP ASAPPPP. Thanks!!!
\( \bf \implies{m \angle{EHF} = 31 \degree}\)
Step-by-step explanation:Given:\( \bigg( \bf \angle{DHE} \: and \: \angle{EHF} \: are \: \\ \bf{complementary \: angles} \bigg)\)
To Find:\({ \bf \longrightarrow{m \angle{EHF} = \: ? }}\)
Solution:We know that,
Two angles are said to be complementary, if the sum of their measures is 90°. Two complementary angles are called the complement of each other.For example :- Angles measuring 55° and 35° are complementary angles because measure of their sum is 90°According to the question,\( \bf \longrightarrow{6x - 1+ 3x + 1 = 90 \degree}\)
\( \bf \longrightarrow{6x \cancel{- 1} + 3x \cancel{+ 1 }= 90 \degree}\)
\( \bf \longrightarrow{6x + 3x = 90 \degree}\)
\( \bf \longrightarrow{9x = 90 \degree}\)
\( \bf \longrightarrow{x = \frac{ \cancel{90} \degree}{ \cancel{9}} }10 \degree\)
\( \bf \longrightarrow{x = 10 \degree}\)
\({ \bf \longrightarrow{m \angle{EHF} = \: 3 \times 10 \degree + 1 \mapsto31 \degree }}\)
So, the correct option is (d)\( \bf \longrightarrow{m \angle{EHF} = 31 \degree}\)
Why do we need to construct table in getting POPULATION VARIANCE?
Answer:
it's helps it by standing
The volume of a sphere can be found using the formula: v = 47. Find the volume of a sphere if
3
the radius is 12.5 cm. Round your answer to the nearest cm.