Answer:
24
Step-by-step explanation:
Let the number of members they visit last week be x.
Then, they visit x/4 + 10 this week
x/4 + 10 = 16
x = 4 x 6
x = 24
Pls mark as brainliest if possible. Don't know why i need it, but i do. Cheers
VOCAB: Use the three terms below to fill in the blanks: (Be careful to spell them correctly!) matrix proportion transformation When two fractions are set equal to each other they make an equation that is referred to as a and the cross products are equal. Rotation, dilation, reflection, and translation are all a type of . A rectangular array of numbers or other objects arranged in a grid position system is called a .
Rotation, dilation, reflection and translation are all a type of transformation.
What is transformation?The transformation, i.e., f: X X, is a function, f, that maps to itself. Following the transformation, the pre-image X changes into the image X. Any operation, including translation, rotation, reflection, and dilation, may be used to create this transformation.
What is matrix?A rectangular array of numbers is called a matrix, and different operations are provided for it. The components are arranged in vertical columns and horizontal rows.
Rotation, dilation, reflection and translation are all a type of transformation.
A rectangular array of numbers or other objects arranged in a grid position system is called a matrix.
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What is the center of the circle?
The circle passes through the pint (-2,3). What is it’s radius?
Answer:
Step-by-step explanation:
Evaluate the line integral, whereCis the given curve.∫ xyds,C:x=t^2 ,y=2t,0≤t≤2C
According to the given information the line integral is [tex]=\frac{8}{15}(1+125.\sqrt{10})[/tex].
What distinguishes a line integral from a definite integral?Line integrals include several integrals across a curve, but definite integrals only entail a single integral over a specified interval. This is the primary distinction between the two types of integrals.
[tex]\int_C\hairsp xyds,C:x=t^2,y=2t,0\le t\le3\\x^\prime=2t\\y^\prime=2\\ds=\sqrt{\left(x^\prime\right)^2+\left(y^\prime\right)^2}\\\sqrt{{4\left(t\right)}^2+4}\\\int C\ xy\ ds\ =\int_0^3\hairspt^2\cdot2t\cdot2\cdot\sqrt{1+t^2}\mathrm{\ }dt\\t=\ \ tan\ \theta\\dt=(1+{tan}^2\theta)d\theta=({Sec}^2\theta)d\theta\ \\{=\int}_0^3\hairsp4t^3\sqrt{1+t^2}\mathrm{\ }dt\\=\frac{8}{15}(1+125.\sqrt{10})[/tex]
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[tex]\frac{2}{2} X \frac{85}{55}[/tex]
The simplified form of the expression given is 17/11.
What is simplifying an expression?
To simplify an expression, create a similar expression devoid of any similar terms. Therefore, we will rewrite the expression using the fewest number of terms possible.
To represent a mathematical expression in the simplest form possible is to simplify it. The expression is reduced to its most basic form when any redundant or redundant parts have been eliminated using the fundamental properties of numbers, exponents, algebraic rules, etc.
Consider, the given expression.
2/2 x 85/55
⇒ 170 / 110
⇒ 17 / 11
Hence, the simplified form of the expression given is 17/11.
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Which of the following statements is not true?
A. the adjusted r-squared value is always smaller than the r-squared value
B. the adjusted r-squared value will always decrease with the addition of another variable
C. the r-squared value cannot decrease when a new variable is added to the regression
D. the adjusted r-squared, more so than the r-squared, is more useful for comparing different regression models
E. all of the above
Therefore ,a result, the answer to the variable problem (B) is incorrect because, even though the adjusted R-square has a lower value .
Variable : What is it ?A variable is a quality that may be measured and take on several values. A few examples of variables are height, age, salary, province of birth, school grades, and kind of dwelling.
Here,
Given : The adjusted r-squared number is always lower than the s n value The added variable always causes the modified r-squared value to fall.
If a new variable is included to the regression, the r-squared result cannot drop.
. When comparing several regression models, the adjusted r-squared is more helpful than the r-squared.
Therefore ,a result, the answer to the variable problem (B) is incorrect because, even though the adjusted R-square has a lower value than the R-square, it might not drop as you add more variables.
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Find the volume of a right circular cone that has a height of 19 feet and a base with a diameter of 17.8 round your answers to the nearest tenth
The volume of the right circular cone hat has a height of 19 feet and base diameter of 178 is calculated as: 1,575.2 ft³.
How to Find the Volume of a Right Circular Cone?To find the volume of a right circular cone, we can use the formula:
V = (1/3) * π * r² * h
Where V is the volume, π is approximately 3.14, r is the radius of the base, and h is the height of the cone.
Given that the diameter of the base is 17.8 feet, we can divide it by 2 to find the radius, which is 8.9 feet.
Substituting these values into the formula:
V = (1/3) * π * (8.9²) * 19
V = (1/3) * 3.14 * 78.41 * 19
V = 1,575.2 ft^3
Rounded to the nearest tenth, the volume of the cone is 1,575.2 ft³
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Give me a list of real numbers that are not rational numbers
Answer:
Irrational Numbers: Any real number that cannot be written in fraction form is an irrational number. These numbers include non-terminating, non-repeating decimals, for example , 0.45445544455544445555..., or . Any square root that is not a perfect root is an irrational number.
Answer=
square root of 1000, square root of 64, etc.
These numbers cant be written as a fraction.
Find the equation of the line passing through the given point and parallel to the given line.
Answer in standard form: 2x+y = 3
Answer in slope intercept form: y = -2x+3
Both equations describe the same line. Select one of those formats to write to your teacher.
=======================================================
Reason:
The equation 2x+y = 9 solves to y = -2x+9; it is of the form y = mx+b
m = -2 = slopeb = 9 = y interceptThe parallel line will also have a slope of -2. Parallel lines have equal slopes, but different y intercepts.
The slope-intercept answer is of the form y = -2x+b
Plug in (x,y) = (-1,5) and solve for b.
y = -2x+b
5 = -2*(-1)+b
5 = 2+b
3 = b
b = 3
We go from y = -2x+b to y = -2x+3 which is in slope intercept form.
Adding 2x to both sides gets us 2x+y = 3 which is in standard form.
joe schmo buys a house for 800,000 dollars. if homes appreciate 7 percent per year, how much will it be in 8 years
The final value would be 1,534,947.20
Joe Schmo:
Joe Shmoe (also spelled Joe Schmoe and Joe Schmo), meaning "Joe Anybody", or no one in particular, is a commonly used fictional name in American English. Adding an "Shm" to the beginning of a word is meant to diminish, negate, or dismiss an argument (for instance, "Rain, shmain, we've got a game to play"). It can also indicate that the speaker is being ironic or sarcastic. This process was adapted in English from the use of the "schm" prefix in Yiddish to dismiss something; as in, "Fancy, schmancy" (thus denying the claim that something is fancy). While "schmo" ("schmoo", "schmoe") is thought by some linguists to be a clipping of Yiddish.
If the home appreciates 7% per year, it will be worth approximately 1,534,947 dollars in 8 years. This can be calculated by multiplying the initial value of the home (800,000) by (1 + 0.07)^8.
You can also use the following formula:
Final Value = Initial Value x (1 + rate)^Years
The final value would be 1,534,947.20
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Bob has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk
The number of units that he walks will be 18 units.
Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be,
Perimeter of the rectangle = 2(L + W) units
Sway needs to get a few things done in and out of town. Take a gander at the guide underneath to compute his distance on the off chance that he begins at home, goes to the video store, or the supermarket, snatches a quick tidbit and finishes at home.
The perimeter of the rectangle is given as,
P = 2(6 + 3)
P = 2(9)
P = 18 units
The number of units that he walks will be 18 units.
The graph is given below.
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Answer: 18 units is the answer so B
Step-by-step explanation:
why is randomization important in an experimental design
Randomization is a crucial step in experimental design that helps to increase the validity and generalizability of the results, by controlling the extraneous variables that might influence the outcome.
Randomization is important in an experimental design because it helps to reduce the effects of confounding variables. Confounding variables are factors that can affect the outcome of an experiment but are not part of the experimental manipulation. By randomly assigning subjects to different groups, the effects of confounding variables will be distributed equally among the groups, making it more likely that any differences observed between the groups are due to the experimental manipulation and not to the confounding variables.
Randomization also helps to ensure that the groups being compared are representative of the population being studied. This is important because if the groups are not representative, the results of the experiment may not be generalizable to the population as a whole.
Additionally, randomization helps to ensure that the groups being compared are not systematically different in ways that could affect the outcome of the experiment. This is important because if the groups are systematically different, it could be difficult to determine whether any differences observed between the groups are due to experimental manipulation or systematic differences.
Therefore, Overall, randomization is a crucial step in experimental design that helps to increase the validity and generalizability of the results, by controlling the extraneous variables that might influence the outcome.
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The area of a square is 14 times as large as the area of a triangle. One side of the triangle is 7 inches long, and the altitude to that side is the same length as a side of the square. Find the length of a side of the square. Also find the areas of both figures, and be sure that your answer checks.
Answer:
L^2 = area of square = As
As = 14 L H / 2 where L H /2 = area of triangle
L^2 = 14 L H / 2
H = L / 7 or L = 7 H
Let the length of one side of square = 7 in
As = 7^2 = 49 in^2 area of square
H = 7 height of one side of triangle (other side = 1)
Area of triangle = 7 * 1 / 2 = 7/2 in^2
14 * At = 49
Area of square 7 * 7 = 49 in^2 Seems to checkout
What is this evaluated
128 ^1/7
Answer: 2
Step-by-step explanation:
a. Find a second equation for the system so it has infinitely many solutions. Simplify fractions and write in the form a/b
Answer: [tex]4y=-3x+16[/tex]
Step-by-step explanation:
For there to be infinitely many solutions, the equations must represent the same graph.
The points [tex](0,4)[/tex] and [tex](4,1)[/tex] lie on the line. So, the slope is [tex]\frac{4-1}{0-4}=-\frac{3}{4}[/tex]. As the [tex]y[/tex]-intercept is [tex](0,4)[/tex], the equation is [tex]y=-\frac{3}{4}x+4[/tex].
Multiplying both sides by [tex]4[/tex] yields [tex]4y=-3x+16[/tex].
How do you calculate the size of the largest angle in a triangle?
The size of the largest angle of the given triangle can be calculated using cosine rule : c² = b² + a² - 2abcosC , where 'C' represents the largest angle of the triangle.
As given in the question,
Let the given triangle be ABC,
Side opposite to ∠A, ∠B, and ∠C is BC, AC, and AB respectively.
BC = a
AC =b
AB = c
let us consider ∠C be the largest angle of the given triangle.
Value of ∠C can be calculated by substituting other values in the cosine rule given by :
cosine rule : c² = b² + a² - 2abcosC
If Pythagoras theorem satisfied then largest angle is right angle.
Therefore, the size of the largest angle of the given triangle can be calculated using cosine rule : c² = b² + a² - 2abcosC
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2 7/9 divided by 2. Write in simplest form
Answer:
Step-by-step explanation:
2 7/9 divided by 2
First, convert the mixed number into a improper fraction:
25/9
Then multiply by the reciprocal of 2, by multiplying it by 1/2,
which turns into 25/8
Turn it into a mixed number: 1 7/18 OR 25/8
What is a 1 to 1 function graph?
A one-to-one function is a function that assigns a unique output for each input in its domain, and the graph of a one-to-one function will have no vertical asymptotes, cusps, or self-intersections, and will pass the horizontal line test.
A function is said to be one-to-one (or injective) if no two distinct inputs in the domain of the function produce the same output. In other words, a function is one-to-one if it assigns a unique output to each input in its domain.
A graph of a one-to-one function will have the following properties:
The graph will pass the horizontal line test; no horizontal line will intersect the graph more than once.
The graph will have no vertical asymptotes, which would indicate that the function is not defined for certain inputs.
The graph will have no cusps or self-intersections, which would indicate that the function assigns multiple outputs to the same input.
A one-to-one function has a inverse function, which is also a function and satisfies the same properties as the original function.
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4⋅(2+5)
Line 1
4
⋅
2
+
4
⋅
5
4⋅2+4⋅5
Line 2
The expression was rewritten using the
.
4
⋅
(
2
+
5
)
4⋅(2+5) equals
4
⋅
4⋅
which equals
.
4
⋅
2
+
4
⋅
5
4⋅2+4⋅5 equals
+
+
which equals
.
Answer: 4⋅(2+5) = 4 * (2+5) = 4 * 7 = 28
Step-by-step explanation:
Line 1 shows the original expression and Line 2 shows the expression is simplified by using the distributive property.
4⋅2 + 4⋅5 = 8+20 = 28
So the final result is 28.
which of the following statements is Incorrect.
Answer:
b
Step-by-step explanation:
de=40
Answer:
DE = 58 is the incorrect statement
Find the values of the variables. Then find the side lengths of the square.
X=?
y=?
Answer:
multiply 16-y this is correct
Step-by-step explanation:
it is a square.
so, all sides are equally long.
that means e.g.
y - 3 = 2y - 11
-3 = y - 11
8 = y
and then
3x - 10 = 3y - 19 = 3×8 - 19 = 24 - 19 = 5
3x = 15
x = 15/3 = 5
so the length of all 4 sides is by using e.g.
y - 3 = 8 - 3 = 5
each side is 5 units long.
The ratio of boys to girls in janelles grade is 3 to 5. The ratio of boys to girls in nicholas’ grade is 3:6. each grade has 30 girls. How many boys are in each grade?
Answer: 27
Step-by-step explanation:
Which of the following is true regarding the solutions to the logarithmic equation below? 2log6(x) = 2 log6" (x?) =2 x^2 = 62 x^2 = 36 X= 6, -6
a. X=-6 are true solutions b. X=6 and X=-8 are extraneous solutions c. X-6 is a true solution and X=-6 is an extraneous solution d. X=6 is an extraneous solution and X=-6 is a true solution
C. X=6 is a true solution and X=-6 is an extraneous solution
2log6(x) = 2
log6(x2) = 2
x2 = 6^2
x2 = 36
x = 6, -6
Since 6 and -6 are the only real solutions, 6 is a true solution and -6 is an extraneous solution.
2log6(x) = 2
log6(x)2 = 2
By taking the power of both sides with base 6,
x2 = 62
x2 = 36
By taking the square root of both sides,
x = ±6
x = 6, -6
Since 6 and -6 are the only real solutions, 6 is a true solution and -6 is an extraneous solution.
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A math club ha 30 member. The number of girl i 2 le than 3 time the number of boy. How many member are boy? How many member are girl?
The total number of boys is 8 and that of girls is 22.
Let x be the number of boy members in the math club. According to the problem, the number of girl members is 2 less than 3 times the number of boy members, so we can write the equation:
G = 3*B - 2
We also know that the total number of club members is 30, so we can write the equation:
B + G = 30
We can substitute the first equation into the second equation to eliminate "G":
B + (3*B - 2) = 30
Combining like terms:
4*B - 2 = 30
⇒ 4*B = 30 + 2
⇒ 4B = 32
Dividing by 4:
∴ B = 34/4
⇒ B = 8
So there are 8 boy members in the math club. To find the number of girl members, we can substitute this value back into the first equation:
G = 3*8 - 2 = 22
So there are 22 girl members in the math club.
Therefore,
The number of boys = B = 8
The number of girls = G = 22
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Assume y varies inversely with x. Find the constant of proportionality if x = 13 when y = 19.
k =
The constant of proportionality 'k' is 247.
Since y = k/x
x= 13 y= 19
19=k/13
k=19*13
k=247
The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.
If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional. If equivalent elements in two sequences have a constant product, also known as the coefficient of proportionality, then the two sequences are inversely proportional.
This definition is frequently expanded to include connected variable quantities, also known as variables. Variable has a distinct meaning in mathematics than it does in everyday language (see variable (mathematics)); these two ideas use the same name due to a shared etymology.
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Question, 40 points
What are the endpoint coordinates for the midsegment of △PQR that is parallel to PR¯¯¯¯¯?
Enter your answer, as a decimal or whole number, in the boxes.
( , ) and ( , )
Answer:
mPR = (-3.5, 0.5)
mQR= (-1,-0.5)
Step-by-step explanation:
According to the banker's rule, if johnny makes $90,000 per year running his own auto shop, how
much can he afford to borrow on a mortgage for a new house?
The amount that Johnny can borrow on a mortgage for a new house, given the Banker's Rule is between $225,000 to $270,000.
How much can Johnny borrow ?The Banker's Rule is a rule of thumb used to determine how much a person can afford to borrow on a mortgage. According to the Banker's Rule, a person should not borrow more than 2.5 to 3 times their annual income for a mortgage.
Using this rule, if Johnny makes $90,000 per year, he can afford to borrow between $225,000 to $270,000 on a mortgage for a new house. However, this is a rough estimate, and other factors such as credit score, debt-to-income ratio, and the lender's requirement also play a role in determining how much Johnny can borrow.
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B is the midpoint of segment AC on the coordinate plane. The coordinates of the 3 points are: A (-4,5)
.B(x, 2), and C (9, y). What are the values of x and y?
Answer:
x=2.5 and y=-1
Step-by-step explanation:
Firstly we have to state the formula to avoid making mistakes when calculating the points.
So we use the midpoint formula to be able to calculate; midpoint=(x1+x2 , y1+y2)
2 2
So when calculating x we are goin to take the coordinates A(-4,5) and C(9,y)
then we substitute into the formula accordingly so since x will be the midpoint calculation we will say, (-4+9) =2.5 meaning x = 2.5
2
Next, inorder to find y we will ...
5+y=2 and then we will have to get rid of the
2
denominator by multiplying the denominator to both sides of the equals sign. The 2 will cancel each other out then 2×2 =4 an equation will be formed ; 5+y=4 work it out then it will bring you to y= -1 as the answer
Fine the area of the trapezoid
Answer: The area of the trapezoid can be found using the formula:
Area = (a + b)h/2
where a and b are the lengths of the parallel sides and h is the height (perpendicular distance between the parallel sides).
In this case, the parallel sides are 13ft and 15ft, and the height is 5ft.
Therefore, the area of the trapezoid is:
(13 + 15) * 5 / 2 = (28) * 5 / 2 = 140 / 2 = 70 ft^2
Step-by-step explanation: The area of the trapezoid is calculated by taking the sum of the parallel sides, multiplying by the height and then dividing by 2. The parallel sides are given as 13ft and 15ft, and the height is given as 5ft.
By substituting the given values in the formula we get (13+15)5/2 = 285/2 = 140/2 = 70 ft^2.
So, the area of the trapezoid is 70 ft^2.
a spinner is divided into thirds and each third is shaded a different color, as shown in the diagram. if the radius of the spinner is 6 inches, what is the perimeter of the green section of the spinner?
Here that everything is divided equally, we can say that the percentage of the diagram that is shaded equals the number of shaded parts divided by the total number of parts in the diagram.
How many of these portions to darken is determined by the fraction's numerator:
2/3 is our fraction.We shall split our shade into three equally sized sections because the denominator is three.We shall shade two of these three portions because the numerator is two.Which two of the three components are shaded in is irrelevant.By being able to see how these charts interfere with one another, you may better comprehend the solar access at that location. This graph depicts the surrounding skyline as seen from a certain place and the course of the sun.
P= [tex]r^{2}[/tex]
P = 6*6 =36 cm
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The same amount of trash is dumped into a landfill everyday . The function below shows the total number of tons of trash n in the landfill after x day : n. What does the number 1,000 represent?Amount of trash originally in the landfillAmount of trash added to the landfill everyday Rate at which the total trash increases everydayRate at which the new trash increases everyday
1000 is the amount of garbage that was initially dumped in the landfill before any additional garbage was added. i.e: It is the quantity of garbage on Day 0.
The initial function given in the problem is n = 2000x + 1000.
The definition of a function's initial value is its starting value, which is unaffected by any variables used in the function.
The given function is:
n = 2000x + 1000
where the amount of trash is n, and the number of days is x. We'll set the variable (x) equal to zero to obtain the starting value.
Therefore, initially:
n = 2000(0) + 1000 = 1000
This indicates that the trash had a value of 1000 at day zero.
Therefore 1000 represents the amount of trash that was originally present in the landfill before dumping any extra trash.
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