The length of AC is √(4x⁴+ 16x³ + 76x² - 16x + 64). In order to find the unit length of AC you have to get more measurement and solve for x in the equation.
We can use the fact that the diagonal of a rectangle is the square root of the sum of the squares of its sides. If the sides of the rectangle are "a" and "b", then the length of the diagonal is given by: √(a² + b²)
Let's call the length of AC "d". Then, from the information given, we have: d = √((2x² + 4x - 6)² + (x² - x + 8)²)
Expanding and simplifying the squares, we get:
d = √(4x⁴ + 16x³ + 12x² + 64x² - 16x + 64)
d = √(4x⁴+ 16x³ + 76x² - 16x + 64)
So, the length of AC is √(4x⁴ + 16x³ + 76x² - 16x + 64).
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You are using a recipe to bake some
cookies. The recipe calls for the following
ingredients:
3 3/4 cups flour
1 1/4 cups brown sugar
2 eggs
1/4 teaspoon salt
1/3 teaspoon baking soda
1 1/4 butter
1 1/2 cups white sugar
You've decided to only make 1/2 a batch.
How much of each ingredient do you need?
The required measurement of the ingredient has been shown below for half a batch of cookies.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
When making 1/2 a batch of the cookie recipe, you will need to halve the amount of each ingredient.
Here is the list of ingredients for half a batch:
1 7/8 cups flour
5/8 cup brown sugar
1 egg
1/8 teaspoon salt
1/6 teaspoon baking soda
5/8 cup butter
3/4 cup white sugar
Thus, the required measurement of the ingredient has been shown above for half a batch of cookies.
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Need help with geometry please help
Answer:31.42 sq.
Step-by-step explanation:
A=2πrh+2πr2−3 + 5 + 6g = 11 − 3g
TYSM YALL
[tex] \: [/tex]
[tex]\frak{2 + 6g = 11 - 3g} [/tex][tex] \: [/tex]
[tex] \frak{6g + 3g = 11 - 2} [/tex][tex] \: [/tex]
[tex] \frak{9g = 9} [/tex][tex] \: [/tex]
[tex]\frak{ \: g = \frac{9}{9} } [/tex][tex] \: [/tex]
[tex] \frak{ \: g = \cancel\frac{9}{9} } [/tex][tex] \: [/tex]
[tex] \underline{ \boxed{\bold{ \red{\frak{g = 1}}}}}[/tex][tex] \: [/tex]
hope it helps!:)
Suppose that the functions and are defined for all real numbers x as follows.
s(x) = 4x
t(x) = 3x + 3
Write the expressions for
(t*s)(x)
(t - s)(x)
and evaluate (t + s)(- 2)
Answer:
-5
Step-by-step explanation:
The expression for the composition of functions t and s, (t*s)(x), is obtained by substituting the output of s(x) into t(x). So,
(t*s)(x) = t(s(x)) = t(4x) = 3(4x) + 3 = 12x + 3.
The expression for the difference of functions t and s, (t - s)(x), is obtained by subtracting the output of s(x) from t(x). So,
(t - s)(x) = t(x) - s(x) = (3x + 3) - (4x) = -x + 3.
To evaluate (t + s)(-2), we need to add the outputs of t(-2) and s(-2).
t(-2) = 3(-2) + 3 = 3
s(-2) = 4(-2) = -8
So, (t + s)(-2) = t(-2) + s(-2) = 3 + (-8) = -5.
Bob bought 40 gumboils from a quarter machine. The number of each flavor he got is shown in the table. If there are 140 gumboils remaining in the machine, what is a reasonable prediction for the number of cola flavored gumboils left?
Flavors: Amount:
Grape 4
Cherry 12
Cola 16
Orange 8
Answer:
56 cola flavored gumboils
Step-by-step explanation:
Bob's 40 count of gumballs has 16 cola gumballs
Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5
There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs
So number of cola gumballs left is expected to be 2/5 x 140 = 56
This is only a prediction based on Bob's sample of 40 cola gumballs
She has to be at the airport at least 100 minutes before the flight. By what time must she arrive at the airport?
She has to be at the airport at least 100 minutes before the flight. She must arrive at the airport at least two hours and 120 minutes before the flight.
Which ensures that she has time to check in, go through security and passport control, and board the flight. the amount f time a passenger needs to arrive before the flight can vary depending on the airline and airport. Generally, most airlines recommend that passengers arrive at the airport at least two hours before domestic flights and three hours before international flights.
In order it gives the passenger enough time to get to the airport depending on the location and traffic, check in and drop off any luggage, go through security and passport control, then at last board the flight
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The brass section of a middle school jazz band has 4 trumpets and 3 trombones.
What is the ratio of trombones to all the brass section members?
A. 7/3, 7:3, or 7 to 3
B. 4/7, 4:7, or 4 to 7
C. 4/3, 4:3, or 4 to 3
D. 3/7 , 3:7, or 3 to 7
Answer:
D. 3/7, 3:7, or 3 to 7
Step-by-step explanation:
What is the approximate distance between point W (3, 6) and point Z (8, -2)?
Answer:
hope this helps!!! That’s the answer!
Step-by-step explanation:
Answer:
9.43 units.
Step-by-step explanation:
To find the distance between two points in a 2D plane, you can use the Pythagorean theorem. The formula for finding the distance between two points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values for W and Z:
d = √((8 - 3)^2 + (-2 - 6)^2)
d = √(5^2 + (-8)^2)
d = √(25 + 64)
d = √89
The distance between the points W and Z is approximately 9.43 units.
URGENT
Translate into an equation. (Use x to represent the smaller number. Translate the second sentence to write your equation.)
The sum of two numbers is fourteen. The total of three times the smaller and twice the larger is thirty-one.
Answer:
small number=3 while Big number is, 13
Step-by-step explanation:
X+y=14
3x+2y=31
3(x+y=14)
3x+3y=42 + 3x+2y=31
X=3,y=11
the mean of the sample group of answer choices is always smaller than the mean of the population from which the sample was taken can never be zero none of these alternatives is correct. can never be negative
The mean of a sample is the average of all values in the sample. The mean of a sample is generally always smaller than the mean of the population from which the sample was taken, since the sample is only a small subset of the population.
The mean of a sample can never be zero or negative, since it is an average of all the values in the sample. The mean of a sample can also never be greater than the mean of the population. None of these alternatives is correct.
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Answer choices for Z -
$1.51
$25.08
$33.93
$26.59
Answer choices for X -
$22.35
$1.27
$3.72
$383.66
The correct answer choices for Z and X are $25.08 and $3.72, respectively.
What is a Simultaneous Equation?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
How to solve for this
To solve for Z and X simultaneously, you can use the following equation: Z + X = 59.5
You can then compare the four given answer choices for Z and X to determine which ones satisfy the equation.
For example, $1.51 + $22.35 = $23.86, which is not equal to 59.5, so neither of these answer choices is correct.
However, $25.08 + $3.72 = $28.80 which is equal to 59.5, so the correct answer choices for Z and X are $25.08 and $3.72, respectively.
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brad was hang gliding at a constant velocity. he moved 395 meters Southeast in 31.6 seconds. what was his velocity
Answer: To calculate Brad's velocity, we can use the formula:
velocity = distance / time
where:
distance = 395 meters (the distance traveled)
time = 31.6 seconds (the time it took to travel that distance)
Plugging in the values into the formula, we get:
velocity = 395 meters / 31.6 seconds
velocity = 12.5 meters per second
So Brad's velocity was 12.5 meters per second in a southeast direction.
Step-by-step explanation:
Jim
3
8
Cans of food collected
Cooper
58
If the friends collected 80 cans in total, how many more cans were collected by Cooper than by Jim?
Answer: 20
Step-by-step explanation:
58-38=20
An item is regularly priced at $33. Ashley bought it at a discount of 15% off the regular price.
The amount that was paid by Ashley is $ 28.05.
Calculating discount:To find the discount on a given price, multiply the discount that is given by the original price and divide the result by 100.
To find the amount that can be paid by the consumer, subtract the resultant discount from the original price.
Final price of item = Original price - Discount
Here we have
An item is regularly priced at $33.
The discount that Ashley bought it = 15% off the regular price.
The amount that Ashely paid for it = $ 33 - 15% of $ 33
=> $ 33 - $ (15/100 × 33)
=> $ 33 - $ (0.15 × 33)
=> $ 33 - $ 4.95
=> $ 28.05
Therefore,
The amount that was paid by Ashley is $ 28.05.
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Hi can someone please help this is due tonight.
a. It is not specified in the given information what the total number of seniors at Lewis High is, so it is not possible to directly compare the number of seniors who apply for college to the number of seniors at Lewis High.
How to explain the informationb. The same issue applies to this question as well. It is not specified what the total number of seniors at Lewis High is, so it is not possible to directly compare the number of seniors who apply for college with those who don't.
c. If two out of every three seniors at Lewis High apply for college, then one out of every three seniors does not. Therefore, the fraction of graduating seniors at Lewis High who do not apply to college is 1/3.
d. If three out of every five seniors at Lewis High who apply for college are female students, then two out of every five are male students. Therefore, the fraction of seniors who are males who apply for college is 2/5. Again, without knowing the total number of graduating seniors at Lewis High, it is not possible to directly compare the number of males who apply for college with the number of graduating seniors.
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Two of every 3 seniors at Lewis High apply for college. Three of every 5 seniors at Lewis High who apply for college are female students.yout
a. How does the number of seniors who apply for college compare to the number of seniors at Lewis High?
b. How does the number of seniors who apply for college compare to those who don't?
c. What fraction of the graduating seniors at Lewis High do not apply to college?
d. What fraction of the seniors are males who apply for college? How does the number of males who apply for college compare with the number of graduating seniors?
The science club and the math club each bought plain pizzas for their end of the year
parties from the same pizza parlor.
The science club paid $79.00 for 5 large pizzas and 2 medium pizzas.
The math club paid $86.00 for 4 large pizzas and 4 medium pizzas.
What is the price, in dollars, of a medium pizza? Enter your answer as $0.00
The price of medium pizza paid by both the science and maths clubs found using linear equations is $9.50.
What is meant by equation?
A formula known as an equation uses the equals sign (=) to express how two expressions are equal.
Given,
Cost of 5 large pizzas and 2 medium pizzas paid by the science club = $79.00
Cost of 4 large pizzas and 4 medium pizzas paid by the math club = $86.00
Let the cost of medium pizza = x
Cost of large pizza = y
Now using the above equation we can write two linear equations.
2x + 5y = 79
4x + 4y = 86
Solving the above system of linear equations.
We are making the coefficient of the x variable the same.
Multiplying the first equation by 2.
4x + 10y = 158
4x + 4y = 86
Subtracting the equations.
6y = 72
y = 12
Now substituting in any one equation, we get the value of x.
2x + 5 * 12 = 79
2x = 19
x = 9.5
Therefore the price of medium pizza found using linear equations is $9.50.
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a heavy rope, 90 ft long and weighing 72 lbs, hangs over the edge of a building 100 ft high. how much work w is done in pulling the rope up 10 ft?
The work done in pulling the rope up 10 ft is 864 ft-lbs, calculated by multiplying the rope's weight (72 lbs) by the distance (10 ft) it was lifted.
Work done = Weight x Distance
Work done = 72 lbs x 10 ft
Work done = 720 ft-lbs
Additional work done for weight of rope = Weight of rope x Distance
Additional work done for weight of rope = 90 x 10
Additional work done for weight of rope = 900 ft-lbs
Total work done in pulling the rope up 10 ft = 720 ft-lbs + 900 ft-lbs
Total work done in pulling the rope up 10 ft = 864 ft-lbs
The work done in pulling the rope up 10 ft is calculated by multiplying the weight of the rope (72 lbs) by the distance (10 ft) it was lifted. This gives us a result of 720 ft-lbs. However, since the rope is 90 ft long, we must also take into account the additional weight of the rope beyond the 10 ft that was lifted. So, we multiply the weight of the rope (90 lbs) by the distance (10 ft) to get an additional work done of 900 ft-lbs. Adding the two results together gives us 864 ft-lbs of work done in pulling the rope up 10 ft. This shows that the heavier a rope is, the more work must be done to lift it.
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One year, the population of a city was 322,000. Several years later it was 273,700. Find the percent decrease.
The population of the city has decreased by 15%.
Percentage refers to a way of expressing a number as a fraction of 100, and is often represented by the symbol (%).
To find the percent decrease, we need to determine the difference between the original population and the new population. We can do this by subtracting the new population from the original population:
322,000 - 273,700 = 48,300
This means that the population has decreased by 48,300. To find the percentage decrease, we need to express this as a percentage of the original population. We can do this by dividing the decrease by the original population and then multiplying by 100:
(48,300 / 322,000) x 100 = 15%
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If the rate 1/2 ounce for 2 cups how much is it for 12 cups
PLEASE GIVE BRAINLIEST
thank you and have a good day :)
Answer:
3 ounces per 12 cups
Step-by-step explanation:
you multiply the left side by 6 on both numerator and denominator
1/2 per 2 = X per 12
1/2 * 6 = 6/2 or 3
2 * 6 = 12
3 per 12 = x per 12
the rate is 3 ounces per 12 cups
i hope this helps
Simplify √, where a20.
Which expression is equivalent to √√a²?
O
O
O
DONE
a².aº
aª.a
a³ a
a a
The expression √a²√a² when simplified is (d) a * a
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
√a²√a²
Express as product expression
So, we have the following representation
√a²√a² = √a² *√a²
Evaluate the exponents
This gives
√a²√a² = a * a
Hence, the expression is (d) a * a
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Complete question
Simplify √a²√a²
Which expression is equivalent to √a²√a²
a².aº
aª.a
a³ a
a a
omar buys a bag of cookies that contains 5 chocolate chip cookies, 9 peanut butter cookies, 6 sugar cookies and 7 oatmeal cookies. what is the probability that omar randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie? probability
The probability that Omar randomly selects a sugar cookie from the bag eats it, then randomly selects an oatmeal cookie is 0.06.
Omar buys a bag of cookies that contains,
5 chocolate chip cookies,9 peanut butter cookies, 6 sugar cookies, and 7 oatmeal cookies,
We have to find the probability that Omar randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie
Total number of cookies in bag = 27
the probability that Omar randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie
[tex]=\frac{6}{27}.\frac{7}{26}\\\\=0.0598 =0.06[/tex]
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Need some help I need to finish this last problem
Answer:
NO
Step-by-step explanation:
no she cannot. you do not need to do any math for this, none of these measurements are equal to or greater than 6 feet, and i dont think lily's gonna snap her fishing pole in half 6>4, 4=the longest thing about this box, aka the length
Answer: No, she can not store the fishing pole in the box.
No, Lily can not store the fishing pole into the box. The pole is 6 feet long, while the box is 4 feet long. Even if you tried to insert the pole into the box vertically it would not fit. Therefore, no Lily cannot fit the box.
I hope this helped & Good Luck <3 !!!
can someone please help me(10 points will give brainliest!!!)
The value of the function f(a + 1) - f(a) is 2a - 2
What is a functionfunction, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
In the given problem;
f(x) = x² - 3x
f(a + 1) - f(a) = ?
f(a + 1) = a² - a - 2
f(a) = a² - 3a
f(a + 1) - f(a) = a² - a - 2 -(a² - 3a)
f(a + 1) - f(a) = 2a - 2
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Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.
The number of crickets Great fed last week to Lizzy is 56.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.
Last week, Greta fed Draco 77 crickets.
Let the number of crickets Great fed last week be x.
Now, 11:8::77:x
11x=77×8
x=7×8
x=56
Therefore, the number of crickets Great fed last week to Lizzy is 56.
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"Your question is incomplete, probably the complete question/missing part is:"
Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets. How many crickets did Greta feed Lizzy?
Find the measure of
The measure of exterior angle ACD is 132°
Exterior angle theorem of a triangleThe exterior angle theorem states that whenever a triangle's side is extended such that it creates another exterior(outside angle), the resultant exterior angle created is equal to the sum(addition) of the other two opposite (inner) interior angles of the triangle.
From the information given:
Angle A = 50; Angle B = 4x + 2, Angle ACD = 6x + 12
Therefore;
50 + 4x + 2 = 6x + 12
52 + 4x = 6x + 12
4x - 6x = 12 - 52
-2x = - 40
x = 20
Since x = 20, angle ACD = 6x + 12
The measure of angle ACD = 6(20) + 12 =132°
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Brian wants to buy some back to school clothes. He has $78 to spend. He buys 5 t-
shirts and has $25.50 left. How much does each shirt cost?
The answer is 10.5
First you need to subtract the ending cost (25.50) giving you $52.5
With that 52.5 just divide by the amount of shirts bought (5) and you get 10.5 per shirt.
Answer:
10.50
Step-by-step explanation:
you take 78 and subtract that by 25.50 which gives you how much money he spends on the 5 t-shirts. that will 52.50
now you know that he spends 52.50 on 5 t-shirts, so you divide that by 5 which gives you 10.50
hope it helps
please mark brainliest
CAN I PLEASE HAVE SOME HELP???? I AM TIMMED!!!
Question
A net of a triangular prism is shown below.
What is the surface area, in square meters, of the triangular prism?
En las elecciones del consejo estudiantil el 39% de los 80 votantes eligió a Petra ¿Cuántos votos óptico Petra ?
31 people chose Petra as leader in the student council elections.
What is percentage?Percentage is used to represent a fraction of 100.
Percent is represented by the sign "%".
Mathematically, we can write the percentage as -
A% of B
(A/100) x B
AB/100
Given is that in the student council elections, 39% of the 80 voters chose Petra.
We can find the total number people who chose Petra as leader as -
{x} = 39% of 80
{x} = (39/100) x 80
{x} = 31.2
{x} = 31
Therefore, 31 people chose Petra as leader in the student council elections.
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{Question in English -
In the student council elections, 39% of the 80 voters chose Petra. How many optical votes Petra?}
Find the value of "x" and "y". State which angle pair theorem (s) you need.
(4)*
3x
y
(5x – 64)°
X =
4 =
theorem:
4.
Cuál es el perímetro?
The perimeter of the figure is 30.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
From the figure,
Number of sides = 5
Each side = 6
So,
The perimeter.
= 5 x 6
= 30
Thus,
30 is the perimeter.
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