Given:
\(undefined\)A team from the high school went on a science-and-math quiz show. The science questions were worth 10 points and the math questions were worth 3 points. The team answered a total of 10 questions and earned 65 points. How many questions did the team answer in each category?
Answer:
The answered 5 math questions, and 5 science questions.
5 * 3 = 15
5 * 10 = 50
15 + 50 = 65
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!!
Evaluate x - (y - z) and (x- y) - z for y = 3, x = 5, z = 4. Is there any associative property of subtraction
Answer:
There is no associative property of subtraction.
Step-by-step explanation:
Given:
x = 5y = 3z = 4x - (y - z) = 5 - (3 - 4) = 5 - (-1) = 5 + 1 = 6
(x - y) - z = (5 - 3) - 4 = 2 x -4 = -6
Therefore, there is no associative property of subtraction as 6 ≠ -6
Find the exact value of 5/6+2/3-12/35×7/9
The exact value of the expression 5/6 + 2/3 - 12/35 × 7/9 is 86/70, which can also be simplified to 43/35.
To find the exact value of the expression 5/6 + 2/3 - 12/35 × 7/9, we need to follow the order of operations (PEMDAS/BODMAS) and perform the calculations step by step.
First, let's simplify the multiplication:
12/35 × 7/9 = (12 × 7) / (35 × 9) = 84/315
Now, we can rewrite the expression as:
5/6 + 2/3 - 84/315
Next, we need to find a common denominator for the fractions. The least common multiple of 6, 3, and 315 is 630.
Now, let's convert the fractions to have a common denominator of 630:
(5/6) × (105/105) = 525/630
(2/3) × (210/210) = 420/630
84/315 × (2/2) = 168/630
Now, we can rewrite the expression with the common denominator:
525/630 + 420/630 - 168/630
Now, we can combine the numerators:
(525 + 420 - 168) / 630 = 777/630
To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 777 and 630 is 9.
Dividing both the numerator and denominator by 9, we get:
777/630 = (9 × 86)/(9 × 70) = 86/70.
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when waves travel through water, why do the moving water particles continue to return to their starting point?
Answer:
Waves transfer energy, but not matter.
Waves transfer energy from one point to another without moving matter.
i hoped this helped
please helppp
How many solutions does this system of equations have?
y = 5x + 4
y = 5(x + 1)
A. none
B. exactly one
C. exactly two
D. infinitely many
please help me :((( it’s geometry
\(\tt Step-by-step~explanation:\)
\(\tt Area:\)
To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.
\(\tt 10*7=70\\70/2=35\\35=A\)
\(\tt Perimeter:\)
\(\tt Step~1:\)
To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.
\(\tt 7^2=49\\10^2=100\\100+49=\sqrt{149}\\\sqrt{149\)
We cannot simplify √149, so we either leave it, or round it.
\(\tt \sqrt{149}\\12.2066\)
This is rounded to the nearest 10,000.
\(\tt Step~2:\)
Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.
\(\tt 10+7+\sqrt{149}=17+\sqrt{149}=P\\Rounded~to~the~nearest~1,000th:~29.207=P\)
\(\large\boxed{\tt Our~final~answer: ~A=35,~P=17+\sqrt{149}}\)
What is StartFraction 3 pi Over 4 EndFraction radians converted to degrees? If necessary, round your answer to the nearest degree. 45° 135° 240° 540°.
Answer:
135°
Step-by-step explanation:
To convert Radians to Degrees, you multiply the Radians amount by \(\frac{180}{\pi}\).
Thus, we get \(\frac{3\pi }{4}\) * \(\frac{180}{\pi}\)
We then get \(\frac{540\pi }{4\pi }\), which simplifies into 135 degrees.
Answer:
b
Step-by-step explanation:
Two similar figures have a ratio of areas 72:32. What is the ratio of similarity?
Two similar figures have a ratio of areas 72:32. The ratio of similarity between the two figures is 3:2.
The ratio of areas of two similar figures is equal to the square of the ratio of their corresponding side lengths. Let's assume the ratio of side lengths is a:b.
Given: Ratio of areas = 72:32
The ratio of areas is the square of the ratio of side lengths. So, we have:
(a/b)^2 = 72/32
Simplifying the equation:
(a/b)^2 = 9/4
Taking the square root of both sides:
a/b = √(9/4)
a/b = 3/2
Hence, the ratio of side lengths of the two similar figures is 3:2.
Since similarity is based on corresponding side lengths, the ratio of similarity is the same as the ratio of side lengths. Therefore, the ratio of similarity between the two figures is 3:2.
This means that for every unit increase in the length of the corresponding side in the smaller figure, the corresponding side in the larger figure increases by 1.5 units.
In summary, the ratio of similarity between the two figures is 3:2, indicating that they are scaled versions of each other with the smaller figure being 3/2 times smaller in each dimension compared to the larger figure.
Hence, the ratio of similarity is 3:2.
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Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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Find the volume of the pyramid. Round to the nearest tenth if necessary.
Answer:
53.7
Step-by-step explanation:
The area of the rectangular base is 7(2.3)=16.1.
So, the total volume is (1/3)(16.1)(10), which is about 53.7
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
Answer$20
Step-by-step explanation:
The price of 1 pound is $2 so 2x10 would be 20.
\(20$\)
Alica buys 10 pounds of hamburger and she pay 20$ for it.
Given that f(x)=x^2+3x-28f(x)=x 2 +3x−28 and g(x)=x+7g(x)=x+7, find (f-g)(x)(f−g)(x) and express the result as a polynomial in simplest form.
The polynomial (f-g)(x) is equal to x^2 + 2x - 35.
To find (f-g)(x), we need to subtract g(x) from f(x).
Step 1: Find f(x) - g(x)
f(x) - g(x) = (x^2 + 3x - 28) - (x + 7)
Step 2: Distribute the negative sign to the terms inside the parentheses:
= x^2 + 3x - 28 - x - 7
Step 3: Combine like terms:
= x^2 + 3x - x - 28 - 7
= x^2 + 2x - 35
Therefore, (f-g)(x) = x^2 + 2x - 35.
The result is a polynomial in simplest form.
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Which of the following is the best definition of the sample space of a
probability event?
A. The number of successful outcomes
B. The measure of how likely an event is to occur
O O O O
C. The set of all possible outcomes
D. The most likely outcome
Answer:
C:The set of all possible outcomes
Mia the scientist is tracking daily temperature changes for study on parakeet migration she records 10° in the morning and 50° in the evening what is the total temperature change for that day
Answer:
The answer is 40 degrees.
Step-by-step explanation:
If the temperature she recorded in the morning is 10 degrees and 50 degrees in the evening then the total temperature change during the day from morning to evening is an increase of 40 degrees.
I hope this answer helps.
10 less than the product of 8 and u
The answer is 2(4u-5).
I figured this out simply by factoring.
15 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
which could be the first step in sloving the equation 2.5x + 1.2 = 1.2x + 4.2
A. add 4.2 to each side
B. divide both sides by 1.2x
C. add 2.5x to each side
D. subtract 1.2 from both sides
Answer:
D. subtract 1.2 from both sides
Step-by-step explanation:
It is the subtraction property of equality.
\(2.5x = 1.2x + 4.2 - 1.2 \\ 2.5x = 1.2x + 3\)
How to Convert Decimal to Octal?
Answer:
Step-by-step explanation:
We divide the number by 8 and write the remainder in reverse order to get the equivalent octal number.
Answer:
Let's write down the base of each one:
- Decimal is base 10 (0 to 9)
- Octal is base 8 (0 to 7)
So, if we want to convert decimal to octal, we need to divide the decimal number by 8 and hold onto the remainder.
Then once your quotient becomes 0, from the last remainder to the first, write your numbers.
For example here is 437 base 10.
437 / 8 = 54 R 5
54 / 8 = 6 R 6
6 / 8 = 0 R 6
So, the answer is 665 base 8.
Pls someone help me on #8 pls. I literally have a test tomorrow morning. Pls someone help ASAP!!!!!!’
Answer:b
Step-by-step explanation:
im smart
which graph is defined by the function given below y=(x-3)(x-5)
Which method did we use to evaluate the relationship between a categorical variable and a numerical variable?
The method we use to evaluate the relationship between a categorical variable and a numerical variable is called analysis of variance (ANOVA).
Here's an overview of how ANOVA works:
Null hypothesis: The null hypothesis in ANOVA states that there are no significant differences in the means of the numerical variable across the categories of the categorical variable. In other words, the categorical variable does not have an effect on the numerical variable.
Test statistic: ANOVA calculates a test statistic called the F-statistic, which compares the variation between the group means to the variation within the groups. It measures the ratio of the mean square between groups to the mean square within groups.
F-test: The F-statistic is used to perform an F-test, which determines whether the observed differences in means are statistically significant. The F-test compares the calculated F-value to a critical value from the F-distribution with appropriate degrees of freedom.
p-value and significance level: The result of the F-test is typically reported as a p-value, which represents the probability of obtaining the observed differences in means under the null hypothesis. If the p-value is below a predetermined significance level (commonly 0.05), the null hypothesis is rejected, indicating that there is a significant relationship between the categorical variable and the numerical variable.
It's important to note that ANOVA assumes certain assumptions, such as the normality of the data and homogeneity of variances. If these assumptions are violated, alternative methods like non-parametric tests (e.g., Kruskal-Wallis test) can be used.
ANOVA is commonly used in various fields, including social sciences, psychology, biology, and market research, to analyze the relationship between a categorical variable and a numerical variable when there are more than two groups.
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Find an equation of the line perpendicular to the line 3x+6y=5 and passing through the point (1,3). Write the equation in the standard form.
The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)
To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:
1. Obtain the slope of the provided line.
To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):
6y = -3x + 5
y =\(-\frac{1}{2}x + \frac{5}{6}\)
The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).
2. Determine the slope of the line perpendicular to the provided line.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.
So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.
3. Use the slope and the provided point to obtain the equation of the perpendicular line.
We can use the point-slope form of a line to determine the equation:
y - y1 = m(x - x1)
where x1, y1 is the provided point and m is the slope.
Substituting the provided point (1, 3) and the slope 2 into the equation, we have:
y - 3 = 2(x - 1)
4. Convert the equation to standard form.
To convert the equation to standard form, we expand the expression:
y - 3 = 2x - 2
2x - y = -1
Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:
2x - y = -1
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when a predictive model is made overly complex to fit in the quirks of given sample data, it is called ______ question 1 options: distribution partitioning overfitting oversampling
When a predictive model is made overly complex to fit in the quirks of given sample data, it is called overfitting.
Overfitting occurs when a model is too complex and tries to fit the data too closely. This can result in a model that performs well on the training data but performs poorly on new, unseen data.
Overfitting can be prevented by simplifying the model or using a larger training dataset. It is important to strike a balance between complexity and simplicity in order to create a model that generalizes well to new data.
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Consider the system of equations with variables x, y and and a parameter a. {x - z = 2}
{2x -y + z = 0}
{ax -y - z = 4}
a) Find the value of a that allows this system of equations to have more than one solution. b) For this value of a, give the solution to the system of equations. [3.4 marks]
a) The value of a that allows the system to have more than one solution is a = -2. b) For a = -2, the solution to the system of equations is x = 1, y = 2, z = -1.
a) The value of a that allows the system of equations to have more than one solution can be determined by checking the consistency of the system. By performing row operations on the augmented matrix of the system and reducing it to row-echelon form, we can observe the conditions under which the system has multiple solutions. Specifically, if the system has a row of the form [0 0 0 | k], where k is a nonzero constant, then the system has infinitely many solutions. Therefore, by manipulating the system and observing the resulting row-echelon form, we can find the value of a that satisfies this condition.
b) For the value of a determined in part a), we can solve the system of equations to find the solution. By expressing one variable in terms of the others, substituting the values into the remaining equations, and solving the resulting equations simultaneously, we can find the specific values of x, y, and z that satisfy the system. These values represent the solution to the system of equations for the given value of a.
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The circumference of a circle is 12.56 feet. What is the circle's area?
\(\huge \sf༆ Answer ༄\)
As we know, Circumference of the circle can be expressed as :
\( \large \boxed{ \: \: \: \: \: \sf2\pi r \: \: \: \: \: }\)
where, r is the radius of the circle, now equate the expression with the given Circumference to find the Radius.
\( \sf2\pi r = 12.56\)\( \sf \: r = \dfrac{12.56}{2\pi} \)\( \sf \: r = \dfrac{12.56}{2 \times 3.14} \)\( \sf \: r = \dfrac{12.56}{6.28} \)\( \sf \: r = 2 \: \: ft\)Therefore, it's radius is 2 feet.
Now, let's calculate its area using the formula ~
\( \large \boxed{ \: \: \: \: \: \: \sf \pi {r}^{2} \: \: \: \: \: \: }\)
plug the value of r (radius) as 2.
\( \sf3.14 \times {2}^{2} \)\( \sf3.14 \times 4\)\( \sf12.96 \: \: ft {}^{2} \)Area of circle is 12.96 ft²
which measurement is not equivalent to the others
A. 6,000 mg
B. 0.006
C. 6 g
D. 60 kg
Answer:
B.
Step-by-step explanation:
Answer:
C. 6
Step-by-step explanation:
The rest are in da thousands and 6 is jus six in da ones place.
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What are three dimensions of a three dimensional shape?
Support your answer with a drawing.
The three dimensions of a three-dimensional shape are length, width, and height. Length refers to the distance between two endpoints of a shape in a straight line. Width is the distance between two opposite sides of a shape, perpendicular to the length. Height is the distance from the base of the shape to the highest point on the shape.
A drawing of a cube can help illustrate these dimensions. The length of a cube is the distance between opposite corners, the width is the distance between the opposite sides, and the height is the distance from the base to the top corner. A three-dimensional shape has three dimensions: length, width, and height, which determine its overall form and position in space. A three-dimensional shape has three dimensions, which are length, width, and height. These dimensions define the size and position of the object in space. you can visualize a three-dimensional shape such as a cube or a rectangular prism, where the length, width, and height are the three dimensions that make up the shape.
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What is the value of x/2y, when x = 10 and y =1?
2 times 1 is 2 so the equation becomes x/2 and x is 10 so 10/2 is same as 10÷2 which is 5
Translate this phrase into an algebraic expression.
17 increased by twice Gail’s savings.
Use the variable g to represent Gail’s savings.
Answer:23/18
Step-by-step explanation:
Veah went to Pizza Hut for lunch on Tuesday and Wednesday. On Tuesday, she paid $31 for 2 pizzas (p) and 5
sandwiches (s). On Wednesday, she paid $47 for 4 pizzas and 5 sandwiches.
a. Create a system of equations (two equations) to represent the situation above.
b. Using your equation from part a, determine the cost of each pizza and each sandwich.
c. Using the prices from part b, determine three combinations of pizzas and sandwiches that Veah
can buy if she has $62.
Veah can buy 4 pizzas and 6 sandwiches, or 5 pizzas and 2 sandwiches, or 6 pizzas and 0 sandwiches with $62.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.
a. Let p be the price of a pizza and s be the price of a sandwich. Then we can create the following system of equations:
2p + 5s = 31
4p + 5s = 47
b. To solve for the price of each pizza and each sandwich, we can use elimination or substitution. Here, we'll use elimination. We can multiply the first equation by -2 and add it to the second equation:
-4p - 10s = -62
4p + 5s = 47
-5s = -15
Solving for s, we get s = 3. Substituting s = 3 into either equation, we can solve for p:
2p + 5(3) = 31
2p = 16
p = 8
Therefore, each pizza costs $8 and each sandwich costs $3.
c. Let x be the number of pizzas and y be the number of sandwiches that Veah buys. Then we can create the following equation based on the total cost:
8x + 3y = 62
We want to find three combinations of pizzas and sandwiches that satisfy this equation. We can start by trying different values of x and solving for y:
If x = 4, then 8(4) + 3y = 62, which gives y = 6.
If x = 5, then 8(5) + 3y = 62, which gives y = 2.
If x = 6, then 8(6) + 3y = 62, which gives y = -2.
Hence, Veah can buy 4 pizzas and 6 sandwiches, or 5 pizzas and 2 sandwiches, or 6 pizzas and 0 sandwiches with $62.
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Solve each equation in the interval from 0 to 2 π . Round your answer to the nearest hundredth.
3 cost/5=1
The solution to the equation (3cos(t))/5 = 1 in the interval from 0 to 2π (0 to 360 degrees) rounded to the nearest hundredth is t = 1.23 radians
(70.53 degrees)
To solve the equation (3cos(t))/5 = 1, we first isolate the cosine term by multiplying both sides of the equation by 5/3. This gives us cos(t) = 5/3.
Next, we need to find the angle t that satisfies this cosine value within the given interval. The inverse cosine function (arccos) can be used to determine the angle. Taking the inverse cosine of both sides, we have t = arccos(5/3).
Evaluating this expression, we find that t is approximately equal to 1.23 radians or 70.53 degrees. However, it's important to note that the cosine function has a periodic nature, repeating every 2π (360 degrees). Therefore, we need to check if there are any other solutions within the given interval.
Since the cosine function is positive in the first and fourth quadrants, and we are looking for solutions from 0 to 2π, there is only one solution within the given interval, which is t = 1.23 radians or 70.53 degrees.
In summary, the solution to the equation (3cos(t))/5 = 1 in the interval from 0 to 2π rounded to the nearest hundredth is t = 1.23 radians (70.53 degrees).
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