Answer:
How many balloons total?
Step-by-step explanation:
Is a 1/4 tablespoon less than a 1/2 teaspoon?
Answer:
No
Step-by-step explanation:
A tablespoon is equal to 3 teaspoons. A half tablespoon is, therefore, equal to 1 1/2 teaspoons.
I hope this helps! Please give me brainlest!
A formally living, organic sample has been excavated from an archeological dig. It is known that this sample is supposed to contain 3.2 micrograms of Carbon-14. Tests show it currently has 2.1 micrograms of Carbon-14.
Using the fact that Carbon-14 has a half-life of approximately 5730 years, how long ago did this specimen die?
(Round your answer to the nearest whole number year.)
Answer:
This specimen died 3482 years ago----------------------------
Let the number of passed years be x.
Use the equation for half-life:
\(N(t) = N_0 * (1/2)^{x/th}\), where N(t) - remaining quantity, N₀ - initial quantity, x - time passed, th - half-life periodSubstitute given values and solve for x:
\(2.1 = 3.2*(1/2)^{x/5730}\)\((1/2)^{x/5730} = 2.1/ 3.2\)\(x/5730=log\ (2.1/3.2) /\ log\ (1/2)\)\(x = 5730*log\ (2.1/3.2) /\ log\ (1/2)\)\(x=3482\)Please clearly label a blank piece of paper
The demand equation for the product of a given company is 5x + 3y - 30 = 0, where y is the price of the product in dollars and x (in thousands) is the quantity of the product demanded. The supply equation is given by 52x - 30y + 45= 0, where x (in thousands) is the quantity of the product that the company will make available in the marketplace at price. y (dollars) per unit of the product. The equilibrium quantity and price occurred where the demand and supply lines intersect. a. Write simultaneous linear equations for the above scenario in the forms of ax + by = c. b. Solve the above simultaneous equations using matrix method and find the equilibrium quantity and price (correct to two decimal places for all the working and final answers)
a. The simultaneous linear equations for the given scenario in the form of ax + by = c are:
Demand equation: 5x + 3y = 30
Supply equation: 52x - 30y = -45
b. To solve the simultaneous equations using the matrix method, we can rewrite the equations in matrix form as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.
The coefficient matrix A:
| 5 3 |
| 52 -30 |
The variable matrix X:
| x |
| y |
The constant matrix B:
| 30 |
| -45 |
To find the equilibrium quantity and price, we can solve the system of equations AX = B by finding the inverse of matrix A and multiplying it with the matrix B. The solution is given by X = A^(-1) * B.
After performing the matrix calculations, we find that the equilibrium quantity (x) is approximately 0.66 thousand units, and the equilibrium price (y) is approximately $3.70 per unit.
Therefore, the equilibrium quantity is 0.66 thousand units, and the equilibrium price is $3.70 per unit.
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Estimation (gcse maths)
Answer:
√(4.93 × 17.1) is about √(5 × 20) = √100 = 10. 0.209 is about 0.2, or 1/5.
So we have 10/0.2 = 100/2 = 50.
The number of industrial injuries per working week in a particular factory is known to follow a Poisson distribution with mean 0.5. Find the probability that in a particular week there will be less than 2 accidents. (05 Marks) Note: Round off to five (5) digits only.
The probability that in a particular week there will be less than 2 accidents is approximately 0.90980.
To find the probability that there will be less than 2 accidents in a particular week in the factory, we can use the Poisson distribution formula.
The Poisson distribution is used to model the probability of a certain number of events occurring in a fixed interval of time or space when these events occur with a known average rate.
In this case, the mean number of accidents per week in the factory is given as 0.5. Let's denote this mean as λ.
The probability of having less than 2 accidents can be calculated as the sum of the probabilities of having 0 accidents and 1 accident.
Using the Poisson distribution formula, the probability of having k events in a given time interval is given by:
\(P(X = k) = (e^(-λ) * λ^k) / k!\)
For k = 0:
\(P(X = 0) = (e^(-0.5) * 0.5^0) / 0! = e^(-0.5)\)
For k = 1:
\(P(X = 1) = (e^(-0.5) * 0.5^1) / 1! = e^(-0.5) * 0.5\)
Now, let's calculate the probability of having less than 2 accidents:
\(P(X < 2) = P(X = 0) + P(X = 1) = e^(-0.5) + e^(-0.5) * 0.5\)
Using a calculator, we can compute this probability:
P(X < 2) ≈ 0.60653 + 0.30327 ≈ 0.90980
Rounded to five decimal places, the probability that in a particular week there will be less than 2 accidents is approximately 0.90980.
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How much do
Jennie sam if she
got 340 for
Babysitting, plus a
15% tip
First determine 15% of 340. Multiple 15 (as decimal) by 340.
0.15 x 340 = 51
Find the total amount she earns by adding these values.
51 + 340 = 391
Therefore, she will make $391.
the awenser is three
hundred and fifty five dolars
Dak Prescott sucks
period
i dare you argue
and btw go easy on his injury cowboys! till i die
Step-by-step explanation: my reasons:
The kind of dreams where you wake up and can’t stop smiling.
The smell before and after it rains.
The sound of rain against a rooftop.
The feeling you get when you’re dancing.
The person (or people) that mean the most to you. Stay alive for them.
Trying out new recipes.
The feeling you get when your favorite song comes on the radio.
Things are going to be okay. maybe not today and maybe tomorrow not but things are eventually going to be ok.
If the PPF is a downward-sloping straight line, then the law of increasing opportunity cost does not hold. Instead, the opportunity cost of producing an additional unit of good 1 or good 2 remains constant as more of either is produced (i.e., there are constant opportunity costs in production).
A straight line PPF indicates constant opportunity costs in production is TRUE.
The Production-Possibility Frontier (PPF) is a graphical representation of the maximum amount of two goods that can be produced given a certain number of resources.
If the PPF is a straight line, then the opportunity cost of producing an additional unit of one good is the same regardless of how much of that good is already being produced. This means that the resources used to produce the two goods are perfectly substitutable and there are no increasing opportunity costs.
However, if the PPF is a curved line, then the opportunity cost of producing an additional unit of one good increase as more of that good is produced. This is because the resources used to produce the two goods are not perfectly substitutable and there are increasing opportunity costs.
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Sandra runs A new personal best in the hundred meter dash her average speed is 7.4 m/s how long to the nearest hundredth does it take her to run the race
Answer:
\(13.51\ \text{s}\)
Step-by-step explanation:
\(s\) = Average speed of Sandra = \(7.4\ \text{m/s}\)
\(d\) = Distance Sandra ran = \(100\ \text{m}\)
Time is given by
\(t=\dfrac{d}{s}\)
\(\Rightarrow t=\dfrac{100}{7.4}\)
\(\Rightarrow t=13.51\ \text{s}\)
The time it takes Sandra to run the given distance is \(13.51\ \text{s}\).
Helpplease i’m dying inside i can’t do this anymore
Answer:
i don't get this type of math yet
Step-by-step explanation:
The new figure that is produced in a transformation is called the
Let:
\(\begin{gathered} P=(x1,y1)=(-3,4) \\ P^{\prime}=(x2,y2)=(4,0) \end{gathered}\)\(\begin{gathered} x1+a=x2 \\ -3+a=4 \\ so\colon \\ a=4+3 \\ a=7 \\ ---- \\ y1+b=y2 \\ 4+b=0 \\ b=-4 \end{gathered}\)Therefore:
\((x,y)\to(x+7,y-4)\)10) Mandy, Jeremy, and Lily went to an amuement park during their ummer vacation. Mandy pent $16. 25 at the amuement park. Jeremy pent $3. 40 more than Mandy pent. Lily pent 2 time a much money a Jeremy pent. How much did Lily pend at the amuement park?
Lily spent $39.3 at the amusement park.
What is Algebra ?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra we use variables like x, y, and z along with numbers.
Let the money spent by Mandy and Jeremy be 'x' and 'y' respectively.
We have given,
Mandy spent = $16. 25
Jeremy spent = x + $3. 40 = $16. 25 + $3. 40 = $19.65
Lily spent = y × 2 = $19.65 × 2
Lily spent = $39.3
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One Do you know how to convert between radical rational exponent form ?
Two Can you apply the properties of rational exponents to an example?
do you know to solve a radical equation?
do you know how to determine if a solution is extraneous or non- extraneous
Answer:
Radical expressions are utilized in financial industries to calculate formulas for depreciation, home inflation and interest. Electrical engineers also use radical expressions for measurements and calculations. Biologists compare animal surface areas with radical exponents for size comparisons in scientific research
Name the slope perpendicular to 3/4.
Answer:
The perpendicular slope is -4/3
Step-by-step explanation:
Perpendicular slopes multiply to -1
m * 3/4 = -1
Multiply each side by 4/3
m * 3/4 *4/3 = -1 * 4/3
m = -4/3
The perpendicular slope is -4/3
Answer:
the perpendicular slope is -4/3
Step-by-step explanation:
Lila orders 5 dozen chocolate-covered strawberries. There is an $8.00 shipping fee, and the total cost is $85.50.
Explain the steps used to find an arithmetic solution to this problem, as well as the steps used to find an algebraic solution to this problem.
How do they compare?
What is the slope for (2,-1) and (6, -1)
Answer:
\(m=0\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (2, -1)
Point (6, -1)
Step 2: Find slope m
Substitute: \(m=\frac{-1+1}{6-2}\)Add/Subtract: \(m=\frac{0}{4}\)Divide: \(m=0\)Ten minus tree times a number is no more than 61
Answer:
The inequality can be written as 10 - 3x ≤ 61. Solving for x, we have:
3x ≥ -51
x ≥ -17
the table below displays some of the results of last summer's frostbite falls fishing festival, showing how many contestants caught fish for various values of . in the newspaper story covering the event, it was reported that (a) the winner caught fish; (b) those who caught or more fish averaged fish each; (c) those who caught or fewer fish averaged fish each. what was the total number of fish caught during the festival?
The total number of fish caught during the festival can be calculated by adding the number of fish caught for each value of n.
For example, if 10 contestants caught 4 fish, 5 caught 8 fish, 7 caught 10 fish, and 8 caught 7 fish, the total number of fish caught would be 104 + 58 + 710 + 87 = 330.
The argument states that the total number of fish caught during the Frostbite Falls Fishing Festival can be determined by adding the number of fish caught by each contestant.
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What is the inverse of the function f(x) = 2x 1? h(x) = one-halfx – one-half h(x) = one-halfx one-half h(x) = one-halfx – 2 h(x) = one-halfx 2
Answer:
214
Step-by-step explanation:
24
Answer:
C
Step-by-step explanation:
Each time John rides the bus to school he pays $3. Write and solve an equation that represents the change in John's money from riding the bus to and from school for 17 days
Every day that John rides on the bus, he loses $3
if he rides on the bus for 17 days, it can be solved like this
(3 x 2)17 = 102$
The change is John's money is -$102 over a span of 17 days
Hope this helped
Once your group has worked through the storming stage and can go on and work together, the group has achieved group?
Once your group has worked through the storming stage and can go on and work together, the group has achieved group cohesion.
Group cohesion refers to the degree of unity, harmony, and cooperation among group members. It is characterized by a sense of belonging, trust, and mutual respect within the group. Achieving group cohesion is crucial for the group's success as it enhances communication, cooperation, and productivity. It fosters a supportive and positive group climate where members feel comfortable expressing their ideas and opinions.
Group cohesion can be developed through various strategies such as team-building activities, open and respectful communication, establishing common goals, and addressing conflicts constructively. It is important to note that group cohesion is not a one-time achievement but a continuous process that requires ongoing effort and maintenance from all group members.
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Samantha built a scale model of a pickup truck. If the truck is 6 inches long and the scale used for the model is 1: 12. What is the length of the actual truck?
The actual length of the truck is 72 inches.
To find the length of the actual truck, we need to use the scale factor of 1:12. This means that for every 1 unit on the model, it represents 12 units on the actual truck.
Since the length of the model truck is 6 inches, we can multiply it by the scale factor of 12 to get the length of the actual truck.
1 (model unit) / 12 (actual units) = 6 inches (model length) / x (actual length)
To solve for x, we can cross-multiply:
1 * x = 12 * 6
x = 72 inches
Therefore, the length of the actual truck is 72 inches or 6 feet.
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write an equation of the parabola in vertex form that passes through points
The equation of the parabola in vertex form that passes through the points (-2, 4) and (1, 0):
y = -2(x + 1)^2 + 2
The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (-1, 2), so we can write the equation as y = -2(x + 1)^2 + 2.
To find the vertex of the parabola, we can take the average of the x-coordinates of the two points, and then take the average of the y-coordinates of the two points. The average of the x-coordinates is (-2 + 1)/2 = -0.5, and the average of the y-coordinates is (4 + 0)/2 = 2. Therefore, the vertex is (-0.5, 2).
Once we know the vertex, we can find the value of a by substituting the vertex coordinates into the vertex form of the parabola. Substituting (-0.5, 2) into the equation y = a(x - h)^2 + k, we get 2 = a(-0.5 - (-1))^2 + 2. Simplifying, we get 2 = a(0.25) + 2. Solving for a, we get a = -2.
Plugging in a = -2 into the vertex form of the parabola, we get y = -2(x + 1)^2 + 2. This is the equation of the parabola in vertex form.
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The equation of the parabola in vertex form that passes through the points (-2, 4) and (1, 0):
y = -2(x + 1)^2 + 2
The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (-1, 2), so we can write the equation as y = -2(x + 1)^2 + 2.
To find the vertex of the parabola, we can take the average of the x-coordinates of the two points, and then take the average of the y-coordinates of the two points. The average of the x-coordinates is (-2 + 1)/2 = -0.5, and the average of the y-coordinates is (4 + 0)/2 = 2. Therefore, the vertex is (-0.5, 2).
Once we know the vertex, we can find the value of a by substituting the vertex coordinates into the vertex form of the parabola. Substituting (-0.5, 2) into the equation y = a(x - h)^2 + k, we get 2 = a(-0.5 - (-1))^2 + 2. Simplifying, we get 2 = a(0.25) + 2. Solving for a, we get a = -2.
Plugging in a = -2 into the vertex form of the parabola, we get y = -2(x + 1)^2 + 2. This is the equation of the parabola in vertex form.
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Lines CD and DE are tangent to circle A shown below: If Arc CE is 112°, what is the measure of ∠CDE? a 124° b 136° c 68° d 56°
Answer:
C
Step-by-step explanation:
The central angle of this is 112 degrees. That is CAE is 112 degrees. That being the case, CDE is 90 + 90 + 112 = 292 Tangents make a 90 degree angle with the center of the circle.
CDE = 360 - 292 = 68
C
The measure of ∠CDE is 68degrees
This question bothers on circle geometry;
From the diagram, we can see that ACDE will form a quadrilateral. Since the sum of angles of a quadrilateral is 360degrees, hence;
\(<CDE + arcCE+<C+<E=360\)
From the diagram, since CD and DE are both tangential to the circle at point C and E, this shows that <E = <E = 90°
substituting the given values in the formula;
\(<CDE+112+90+90=360\\<CDE + 292=360\\<CDE=360-292\\<CDE =68^0\)
Hence the measure of ∠CDE is 68 degrees
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I will give multiple brainlist to people who help me with these slides!
Answer:
A)6
B)ST
Step-by-step explanation:
A if u turn it, 15 is equal to the 10
15/9=10/x
x=90/15
x=6
B) Turn it so #2 is facing up.
ST is the same.
Hope this helps plz hit the crown :D
Step-by-step explanation:
—MathA. BC/FG = AC/EG
9/FG = 15/10
FG = (9 x 10) / 15
FG = 6
B. CD/EA= ST/UQ
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Determine the possible number of positive real zeros and negative real zeros of each polynomial function using
Descartes' rule of signs 5 3 2 f(x) = - 4x + 15x -17x + 6x -7x+11
The polynomial function f(x) = -4x⁵ + 15x⁴ - 17x³ + 6x² - 7x + 11 has a maximum of 2 positive real zeros and a maximum of 0 negative real zeros.
To determine the possible number of positive real zeros and negative real zeros of the polynomial function f(x) = -4x⁵ + 15x⁴ - 17x³ + 6x² - 7x + 11, we need to examine the signs of the coefficients.
For the positive real zeros:
- Count the number of sign changes in the coefficients or the sign changes in f(x) when substituting -x for x.
- The maximum number of positive real zeros is equal to the number of sign changes or less by an even number.
For the negative real zeros:
- Count the number of sign changes in the coefficients of f(-x) or f(x) when substituting -x for x.
- The maximum number of negative real zeros is equal to the number of sign changes or less by an even number.
Let's analyze the coefficients of the polynomial function: -4, 15, -17, 6, -7, 11
For the positive real zeros, there are 2 sign changes from negative to positive:
-4, 15, -17, 6, -7, 11
So, the maximum number of positive real zeros is 2 or less by an even number.
For the negative real zeros, there are no sign changes from positive to negative:
4, 15, 17, 6, 7, 11
Therefore, the maximum number of negative real zeros is 0.
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1157 divided by 4 pls help
HELP ME PLEASE....I HATE ALGEBRA Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it. (2, 4) (2, 1) (6, 12) (4, -5) (-2, 4) (2, -4) (6, -12) (-4, 5) Quadrilateral ABCD is reflected over the x-axis. arrowRight Quadrilateral ABCD is translated 2 units right and 1 unit down. arrowRight Quadrilateral ABCD is dilated about the origin by a scale factor of 3. arrowRight Quadrilateral ABCD is rotated 180° clockwise about the origin. arrowRight
Quadilateral ABCD is reflected over the x-axis. ---> (2, -4)
ABCD is translated 2 units right and 1 unit down. ---> (4, -5)
ABCD is dilated about the origin by a scale factor of 3. ---> (6, 12)
ABCD is rotated 180° clockwise about the origin. ---> (-2, 4)
What exactly is a quadrilateral?Four sides, four vertices, and four angles make up a quadrilateral, which is a two-dimensional shape. Concave and convex are the two most common forms. Additionally, there are numerous subgroups of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombus, and squares.
Which of these seven quadrilateral types are they?quadrilaterals come in a variety of forms.
Trapezium.
Parallelogram.
Rectangle.
Rhombus.
Square.
Kite.
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Subtract -134 from the sum of 38 and -87.
Answer:
\(\boxed{85}\)
Step-by-step explanation:
Sum of 38 and -87:
=> 38 + (-87)
=> 38 - 87
=> -49
Subtraction of -134 from -49:
=> -49 - (-134)
=> -49 + 134
=> 85
Nicolas currently has $1250 in his bank account. Marayah has $1400 in her bank account. Nicolas deposits $27.50 per week into his bank account. Marayah deposits $20.00 per week into her bank account.
Answer:
35
Step-by-step explanation:yes