Find the area of the triangle and multiply by the length of the prism.
Area = 1/2 x 8x3 = 12 square yds.
Volume = 12 x 6 = 72 cubic yards.
u=xk , for x
please help me
Answer:
x=u/k
Step-by-step explanation:
To get x, you would divide by k. Because its x times k. The oppisite is division. This gets you u/k=x
x is equal to u divided by k.
x=u/k
Melissa makes necklaces and sells them online. She charges $88 per necklace. Her monthly expenses are $3745. How many necklaces must she sell if she wants to make a profit of at least $1,650?
Answer:
She must sell at least 18 necklaces to have a profit of at least 1,650 . In order to pay for her monthly expenses she needs to sell at least 43 necklaces. If she wants to have 1,650 remaining after paying for her monthly expenses she'll have to sell around 61 necklaces.
Decrease 8 by 12 percent
Answer:
7.04
Step-by-step explanation:
12×8/100=0.96
8-0.96=7.04
Answer:
Below.
Step-by-step explanation:
12% = 0.12
The answer is 8 - 0.12*8
= 8 - 0.96
= 7.04.
solve the system of equations by adding. checking your answer
2x+2y=2
3x-2y=43
the solution of the system is ( , )
Answer:
Step-by-step explanation:
This is very easy, because the coefficients of the y terms are 2 and -2. You can easily eliminate the y terms by adding the equations together:
2x + 2y = 2
3x - 2y = 43
-----------------
5x + 0y = 45, so x = 9
Use the value of x to solve for y:
2(9) + 2y = 2
y = -8
(x,y) = (2, -8)
In State College, PA the average outside temperature during the month of January was 35 degrees F. Calculate the HDD for the month of January.
The HDD for the month of January in State College, PA is 930.
To calculate the HDD (Heating Degree Days) for the month of January in State College, PA, we need to subtract the average daily temperature from 65 degrees Fahrenheit, which is considered the standard temperature for indoor heating.
HDD = 65°F - 35°F
HDD = 30°F
Therefore, the HDD for the month of January in State College, PA is 30 degrees Fahrenheit.
Hi! To calculate the Heating Degree Days (HDD) for the month of January in State College, PA with an average outside temperature of 35 degrees F, follow these steps:
1. Determine the base temperature: In the US, the base temperature is commonly 65 degrees F.
2. Subtract the average temperature from the base temperature: 65 - 35 = 30 degrees.
3. Multiply the difference by the number of days in the month: January has 31 days, so 30 * 31 = 930.
So, the HDD for the month of January in State College, PA is 930.
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To calculate the HDD for the month of January in State College, PA, we need to first determine the base temperature. The base temperature is the temperature below which a building needs to be heated in order to maintain a comfortable indoor temperature. In this case, we will use a base temperature of 65 degrees F.
To calculate the HDD, we need to subtract the average daily temperature from the base temperature and sum up the values for each day of the month. If we assume that January has 31 days, we can calculate the HDD as follows:
HDD = (65 - 35) x 31
HDD = 930
So the HDD for the month of January in State College, PA is 930. This means that during the month of January, there were 930 heating degree days, which indicates the amount of heating required to maintain a comfortable indoor temperature. It is important to note that the HDD can vary depending on the base temperature used, so it is important to choose a base temperature that is appropriate for the climate and the building being heated.
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The ratio of boys and girls in Mrs. Hill’s homeroom is 3:4. Which of the following could be the actual number of boys and girls?
A. 12 boys and 9 girls
B. 12 boys and 16 girls
C. 9 boys and 16 girls
D. 12 boys and 15 girls
Answer:
B 12 boys and 16 girls
Step-by-step explanation:
Make the ratios into fraction form. Simplify all of the fractions. The fraction that equals the original ratio is the correct answer. Dived both 12 and 16 by 4 and you get 3 and 4.
Brainliest please
Answer:
B
Step-by-step explanation:
Because 3 times 4 is 12 and 4 times 4 is 16 so that shows that they are equivalent hope it helps have a nice day
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $8,000, annual interest: 7%, interest periods: 4, number of years: 10
Please help
Divide. 0.996 ÷ 0.12
Answer:
8.3
Step-by-step explanation:
Answer:
- 0.996 - Percentage increase =
- 0.996 - (12% × - 0.996) =
- 0.996 - 12% × - 0.996 =
(1 - 12%) × - 0.996 =
(100% - 12%) × - 0.996 =
88% × - 0.996 =
88 ÷ 100 × - 0.996 =
88 × - 0.996 ÷ 100 =
- 87.648 ÷ 100 =
- 0.87648 ≈
- 0.88
Step-by-step explanation:
pls brainlsit
A windowpane is 6 inches by 8 inches. What is the
distance between opposite corners of the windowpane?
URGENT!!!
Using Pytharagos Thereom,
\(a^{2} + b^{2} =c^{2}\)
36+64=100
\(\sqrt{100\) = 10
the distance between the opposite corners is 10 inches
An article is marked to sell at Rs.1300;if 10% discount is allowed,find the discount amount and selling price.
Answer:
discount amount=Rs. 130
selling price=Rs. 1170
Step-by-step explanation:
discount amount=10%of Rs.1300
=10/100*1300
=1300/10
=Rs. 130
selling price=MRP-discount amount
=1300-130
=Rs. 1170
a bird has a 90-inch cage. How many ft is that?
Answer:
7.5 feet
Step-by-step explanation:
Divide the length value by 12 for your answer
90/12 = 7.5
There are 12 inches in a foot, so to convert inches to feet, you can divide the number of inches by 12.
Therefore, a 90-inch cage is equivalent to:
90 inches ÷ 12 inches/foot = 7.5 feet
So the bird cage is 7.5 ft.
Use the graph to answer the question. Graph of polygon ABCD with vertices at negative 6 comma negative 2, negative 4 comma 5, 1 comma 5, negative 1 comma negative 2. A second polygon A prime B prime C prime D prime with vertices at negative 6 comma 2, negative 4 comma negative 5, 1 comma negative 5, negative 1 comma 2. Determine the line of reflection used to create the image.
The line of reflection used to create the image of polygon ABCD to polygon A'B'C'D' can be determined by observing the corresponding vertices of the two polygons.
Comparing the corresponding vertices, we can see that the x-coordinates remain the same while the y-coordinates change sign. This indicates a reflection across the x-axis.
Therefore, the line of reflection used to create the image is the x-axis.
Find the slope from point C to point D.
Answer:
12/7
Step-by-step explanation:
Point C is at ( 0,0)
Point D is at ( 7,12)
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( 12-0)/(7-0) = 12/7
A beekeeper estimates that his bee population will
grow 30% each year. Currently, he has 125 bees.
Type values into the blank spaces to write a function
that can predict the growth of the bee population
over time, where t is the time in years and B(t) is the
total bee population.
B(t) = ||
)t
(
Answer:
B(t) = 125*(1.3)^t
Step-by-step explanation:
The measure adjusted R2 measures what percentage of the variation in the dependent variable is explained by the explanatory variables.TrueFalse
The given statement "The measure adjusted R2 measures what percentage of the variation in the dependent variable is explained by the explanatory variables" is true as the adjusted R2 is a statistical measure that takes into account the number of explanatory variables in a regression model.
It represents the proportion of the total variation in the dependent variable that is explained by the independent variables. Unlike the regular R2, which can increase with the addition of more variables regardless of their significance, the adjusted R2 penalizes the inclusion of irrelevant variables.
Therefore, it provides a more accurate assessment of the explanatory power of the model by considering the trade-off between model complexity and goodness of fit. Hence, the statement is true as the adjusted R2 measures the percentage of variation explained by the explanatory variables.
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Estimate the sum of 7.2 + 7.3 + 6.9 + 6.8.
Answer:
28
Step-by-step explanation:
7.2 is rounded down to 7, 7.3 is rounded down to 7, 6.9 is rounded up to 7, and 6.8 is rounded up to 7. Then you can add 7+7+7+7 to get an estimation of 28.
An engineer sketches a design for a flashlight that uses a mirror in the shape of a parabola to maximize the output of the light. The function representing the mirror is graphed on the left. Which function models the situation?
f(x) = (x – 6)2 + 2
f(x) = –(x – 0)2 + 20
f(x) = 3(x – 6)2 + 2
f(x) = –3(x – 0)2 + 20
The required quadratic function models the situation is f(x) = (1/2)(x - 6)² + 2. The correct answer would be option A.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
The mirror is in the shape of a parabola, which is modeled by a quadratic function of form f(x) = ax² + bx + c.
Looking at the graph, we can see that the vertex of the parabola is at (6, 2) and that the parabola opens upwards. This means that the coefficient a is positive.
The function that satisfies these conditions is:
f(x) = a(x - 6)² + 2
We can rule out options B and D because they have a negative coefficient of x², which would make the parabola open downwards.
Option A has a coefficient of 1/2 for x², which would make the parabola too wide and not narrow enough to focus the light.
The correct function is therefore:
f(x) = (1/2)(x - 6)² + 2
Hence, the correct answer would be option A.
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Which expression illustrates the identity property?
Equation shows identity property of multiplication is (a + bi) × 1 = (a + bi)
What is Identity property of multiplication?
The identity property of multiplication says that the product of 1 and any number is that number.
We know, Identity property of multiplication states that
"the product of 1 and any number is that given number".
We know that every complex number have two parts one is real and other is imaginary.
If a is real number and b is imaginary part then by definition
(a + bi) × 1 = (a + bi).
1. Uses Distributive Property of Multiplication.
2. Zero product property.
3. Commutative property of multiplication
4. Identity property of multiplication.
Hence, equation shows identity property of multiplication is (a + bi) × 1 = (a + bi)
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Dev’ car currently ha 18 gallon of ga in the tank. He ue about 0. 04 gallon for every mile he drive. Dev want to go on a car trip over the weekend and have at leat 2 gallon of ga left in hi tank to get to work on Monday. What i the olution of the inequality that determine how far Dev can travel over the weekend? (Example 2) Let x repreent the number of mile Dev travel
The solution of the inequality that determines how far Dev can travel over the weekend is -
x ≤ 400 miles.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Dave who is planning a car trip for weekend.
Assume that [x] represents the number of miles Dev can travel.
We can write the inequality as -
18 - 0.04x ≤ 2
0.04x ≤ 16
x ≤ 400 miles
Therefore, the solution of the inequality that determines how far Dev can travel over the weekend is -
x ≤ 400 miles.
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What is the final amount if 700 is increased by 4% followed by a further 3% increase?
Answer:
Answer: 749.84
Step-by-step explanation:
• For 4% increment
\( = { \rm{ \frac{(100 + 4)}{100} \times 700 }} \\ \\ = { \rm{ \frac{104}{100} \times 700}} \\ \\ = { \rm{728}}\)
• For the 3% increment
\( = { \rm{ \frac{(100 + 3)}{100} \times 728}} \\ \\ = { \rm{ \frac{103}{100} \times 728 }} \\ \\ = { \rm{749.84}}\)
Miguel has $30. He spends $6.75 on a movie ticket, $3.65 for snacks, and $2.00 for bus fare each way.
How much money does Miguel have left? please help :}
Answer:
$15.60
Step-by-step explanation:
We can solve this problem easily by adding up Miguel's expenses, and then subtracting them from the amount he started with. Be careful, as he pays $4, not $2, in total for bus fare, because he is paying $2 to and from:
\(6.75+3.65+4.00\)
\(=14.40\)
Let's subtract our sum, \(14.40\), from our total, \(30\):
\(30-14.40\)
\(=15.60\)
Miguel has $15.60 left.
What is the formula for the height of a triangle
PLEASE HELP LOOK AT THE PHOTO FOR THE QUESTION
The expanded form of the expression is (-5)(-5)(-5)(-5) and it value as an integer is 625
What is an expression?Expressions are mathematical statements that comprise either numbers, variables, or both and have at least two words connected by an operator. Mathematical operations include addition, subtraction, multiplication, and division.
The given expression is;
(-5)⁴
The expanded form of the expression is given as (-5)(-5)(-5)(-5) and the value as an integer is 625
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Leon's annual premium is x
dollars. If he pays his
premium semi-annually,
there is a y-dollar surcharge
on each semi-annual
payment. Express the
amount of his semi-annual
payment algebraically.
The algebraic expression for the payment of the plan with y dollar surge is A = x/2 + y.
What are algebraic expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numerical values without stating their exact meanings. The fundamentals of algebra taught us how to express an unknown value using letters like x, y, and z. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Given that the annual premium plan is x dollars.
The payment is made semi-annually this is represented as follows:
x/2
There is a surplus charge of y, this is written as:
A = x/2 + y
Hence, the algebraic expression for the payment is A = x/2 + y.
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(a) The diagram shows four angles around a point
1. Write down an equation in x and y
2. Simplify your equation
3.Find y when x=65°
Answer:
Step-by-step explanation:
The degrees around a point = 360, so
1. x + 95 + 3y + 80 = 360 so
2. x + 3y = 185
3. 65 + 3y = 185 and
3y = 120 so
y = 40
Answer:
y=40
Step-by-step explanation:
sum of all 3 angles : 240
3y+240=360
3y=360-240=120
y=3÷120
y=40
Nissa is going to plant 485 485485 trees this year. If Nissa plants 5 55 orchards of trees, how many trees will be in each orchard?
Answer:
There will be 97 trees in each orchard.
Step-by-step explanation:
Given that,
Nissa is going to plant 485 trees this year.
Nissa plants 5 orchards of trees.
We need to find the number of trees in each orchard. Let it is n. So, we can find it as follows :
\(n=\dfrac{485}{5}\\\\n=97\)
So, there will be 97 trees in each orchard.
the ratio of the volumes of two similar pentagonal prisms is 27:125 what is the ratio of their heights?
To determine the ratio of the heights of two similar pentagonal prisms with a volume ratio of 27:125, we need to consider the relationship between the volumes and dimensions of similar prisms. Since the prisms are similar, their corresponding linear dimensions (height, width, and length) have the same ratio.
Let's denote the ratio of their heights as h₁ : h₂. The volume ratio can be expressed as:
(Volume of Prism 1) / (Volume of Prism 2) = 27/125
For a prism, the volume can be calculated as:
Volume = Base Area × Height
Since the prisms are similar, the ratio of their base areas is the square of the ratio of their linear dimensions. Therefore, the ratio of their base areas is (h₁/h₂)².
Now, we can express the volume ratio in terms of their heights:
(h₁ × Base Area 1) / (h₂ × Base Area 2) = 27/125
Since the base areas are proportional, we can substitute the base area ratio with the height ratio squared:
(h₁ × (h₁/h₂)²) / h₂ = 27/125
We can cancel out one h₁ from both the numerator and denominator:
(h₁/h₂)² = 27/125
Now, take the square root of both sides to find the height ratio:
h₁/h₂ = √(27/125) = √(3³/5³) = 3/5
So, the ratio of their heights is 3:5.
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A train traveled at a speed of 60 miles per hour for 5 hours. How far did the train travel?
O 12 miles
O 30 miles
O 120 miles
O 300 miles
Answer:
d
Step-by-step explanation:
The train traveled for a distance of 300 miles
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of the train be S = 60 miles per hour
The time taken by the train to reach the destination = 5 hours
So ,
The distance traveled by the train = Speed of the train x Time taken
= 60 x 5
= 300 miles
Therefore , the distance traveled by the train is 300 miles
Hence , The train traveled for a distance of 300 miles
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accordingly to the poultrysite, the weights of broilers (commercially raided chickens) are approximately normally distributed with mean 1387 grams and standard deviation 161 grams. is it unusual for a broiler to weigh more than 1550 grams?
The weights of broilers are approximately normally distributed with a mean of 1387 grams and a standard deviation of 161 grams.
To determine if it's unusual for a broiler to weigh more than 1550 grams, follow these steps:
1. Calculate the z-score: z = (X - μ) / σ
where X is the given weight (1550 grams), μ is the mean (1387 grams), and σ is the standard deviation (161 grams).
2. Plug in the values: z = (1550 - 1387) / 161 = 163 / 161 ≈ 1.01
The z-score of 1.01 means that the weight of 1550 grams is approximately 1.01 standard deviations above the mean.
In a normal distribution, about 68% of the data falls within one standard deviation of the mean, and about 95% falls within two standard deviations.
Since the z-score is only slightly above 1, it's not highly unusual for a broiler to weigh more than 1550 grams, as it still falls within the range of one standard deviation from the mean.
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A rectangular field meaure 104 m by 76 m ue a cale of 1 cm to 10m to draw a plan of the field. Find the ditance from the centre pot to a corner flag
The distance from the center point to a corner flag is approximately 6.4 cm on the plan
The length and width of the rectangular field, on a scale of 1 cm to 10 m, can be represented as 104 m / 10 = 10.4 cm and 76 m / 10 = 7.6 cm, respectively. The half of the length is 5.2 cm and the half of the width is 3.8 cm.
To find the distance from the center point to a corner flag, we need to use the Pythagorean theorem. The distance is the square root of the sum of the squares of half the length and half the width:
√(5.2^2 + 3.8^2) = √(27.04 + 14.44) = √41.48
So the distance from the center point to a corner flag is approximately 6.4 cm on the plan.
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