Answer:
Step-by-step explanation:
do the thing times 2
What value of g makes the equation true?
0.25 (g+1.5) = 2
• -1
• 2
• 6.5
• 9.5
Answer:
g= 6.5
Step-by-step explanation:
O.25(g+1.5) = 2
(g+1.5) = 2/0.25 divide both sides with 0.25
g+1.5 = 8
g = 8-1.5
g = 6.5
PLEASE PLEASE HELP NOW!!!!!
Givin: logam=x and logan=y
Prove: logamn=logam+logan
Drag the statements and reasons into the boxes to correctly complete the proof.
Answer:
2. ax=m and ay=n
4. mn=a(x+y)
6. power property of logarithms.
I took the quiz.
k12
i took the quiz this is the right answers
PLEASE HELP
The results of a poll show that the percent of people who want a new restaurant is in
the interval (32%, 63%). There are 220,190 people in the city.
What is the interval for the number of people who are likely to want this restaurant
in their city?
Round to the nearest person
Enter your answer in the boxes.
The interval for the number of people who are likely to want the restaurant in their city, rounded to the nearest person, is approximately 70,453 to 138,799 people.
To find the interval for the number of people who are likely to want the restaurant in their city, we need to calculate the number of people corresponding to the lower and upper bounds of the given percentage range.
Given:
Lower bound percentage = 32%
Upper bound percentage = 63%
Total population in the city = 220,190
To find the lower bound of the number of people, we multiply the lower bound percentage by the total population and divide by 100:
Lower bound number of people = (32/100) x 220,190 ≈ 70,453
To find the upper bound of the number of people, we multiply the upper bound percentage by the total population and divide by 100:
Upper bound number of people = (63/100) x 220,190 ≈ 138,799
Therefore, the interval for the number of people who are likely to want the restaurant in their city, rounded to the nearest person, is approximately 70,453 to 138,799 people.
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PLEASE HELP ME ASAP!!! (you will get 20 points!!!)
Name the longest side of ∠DEF.
D=62° E=108° F=10°
Answer: the longest side of a triangle is always the opposite side of the largest angle
Step-by-step explanation:
Line segment DF ☺️
Determine the quadrant(s) in which (x,y) is located so that the condition(s) is/are satisfied
(x, -y) is in the second quadrant.
Answer:
3rd quadrant
Step-by-step explanation:
In the second quadrant, x is negative and y is positive so that means that the original values of x and y are both negative. The quadrant in which those kinds of points are located is Quadrant III.
What is the square root of 8 rounded to the nearest tenth?
Square Root of 8 to the nearest tenth, means to calculate the square root of 8 where the answer should only have one number after the decimal point.
Here are step-by-step instructions for how to get the square root of 8 to the nearest tenth:
Step 1: Calculate
We calculate the square root of 8 to be:
√8 = 2.82842712474619
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
2.82
Step 3: Round
Round 2.82 so you only have one digit after the decimal point to get the answer:
2.8
To check that the answer is correct, use your calculator to confirm that 2.82 is about 8.
Express 763 thousandths in
scientific notation
\(763 \times 10 {}^{3} = 7.63 \times 10 {}^{5} \)
Solve the equation for the given variable.
A-(r+k/4 )
f for r
Answer:
This is a really complicated variable for me. I am very good at math though.
Step-by-step explanation:
a triangular playground has two sides measuring 60 feet and 95 feet between which two measures must the third side of the triangle fall?
Based on the Triangle Inequality Theorem, any side of a triangle must be shorter than the sum of the other two sides.
Let a = first side, b = second side, and c = third side.
Applying the Triangle Inequality Theorem, we can say that:
\(\begin{gathered} cSo, if a = 60 ft and b = 95 ft, then the third side must be shorter than 155 ft.\(\begin{gathered} cIn addition, by subtracting "a" from "b", the third side must be greater than 35 ft.\(\begin{gathered} b35ft \end{gathered}\)Therefore, the measure of the third side must fall between 35 ft and 155 ft.
4 Solve the system graphically. y=2/3-4 y=-1x+1
Answer:
Y = -10/3 X = 13/3
Step-by-step explanation:
Look at the graph.
A city has a property tax rate of 70 mills and an assessment level of 40%. What is the effective property tax rate? Round your answer to the nearest tenth of a percent.
Effective rate = Tax rate x Assessment level
hint: all numbers in equation should be in decimal form
Answer:
Mill rate is a tax rate-the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.
help plssssssssssssssssssssssssssssssssssssz
Answer:
2x+y=-10
Step-by-step explanation:
3. Evie is 5 1/2 feet tall and casts a 9 foot shadow. At the same time, a vtity pole casts a 30-foot shadow. How tall is the utlity pole?
This can be solve easily by taking ratios.
We can say:
5 1/2 feet casts 9 feet shadow, so
HOW MANY FEET (let it be x) will cast 30 feet shadow??
We can setup a ratio with this info:
\(\frac{5.5}{9}=\frac{x}{30}\)Note: We took 5 1/2 feet as 5.5 feet (decimal)
Now, we cross multiply and solve for x:
\(\begin{gathered} \frac{5.5}{9}=\frac{x}{30} \\ 9x=5.5\times30 \\ 9x=165 \\ x=\frac{165}{9} \\ x=18\frac{1}{3}ft \end{gathered}\)The utility pole is 18 1/3rd feet.
Find the minimum value of c=x+y
Answer:
The minimum value of C is 14
Step-by-step explanation:
Sketch the graph of the constraints using
2x + y = 20
with intercepts (0, 20) and (10, 0)
2x + 3y = 36
with intercepts (0, 12) and (18, 0)
The solution to both are above the lines
Solve 2x + y = 20 and 2x + 3y = 36 to find the point of intersection at (6, 8)
Then the coordinates of the vertices of the region formed are
(0, 20), (6, 8) and (18, 0)
Evaluate the objective function at each vertex to determine minimum value
C = 0 + 20 = 20
C = 6 + 8 = 14
C = 18 + 0 = 18
Thus the minimum value of C is 14 when x = 6 and y = 8
Hope this helped to get you answer!
If APQR = A TSR, what are the congruent corresponding parts?
The most appropriate choice for congruency of triangles will be given by -
Congruent Corrosponding parts
PQ = SR
QR = ST
PR = RT
∠QPR = SRT
∠QRP = ∠STR
∠PQR = ∠RST
What is congruency of triangle?
Two triangles are said to be congruent if all the corrosponding sides and corrosponding angles of the triangles are equals.
There are five axioms of congruency of triangles. They are-
SSS axiom, ASA axiom, AAS axiom, RHS axiom, SAS axiom
Here,
\(\Delta PQR \cong \Delta TSR\\\)
Congruent Corrosponding parts
PQ = SR
QR = ST
PR = RT
∠QPR = SRT
∠QRP = ∠STR
∠PQR = ∠RST
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Point Q is on line segment PR. Given QR= 11 and PQ=3 , determine the length PR
Shannon rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 13.
Answer:
0.
Step-by-step explanation:
Fair dice are dice that have 6 sides, and the probability of rolling a side is the same as rolling another.
Since each die has 6 sides, the most you can get from the two dice are 6 + 6 = 12. Therefore, getting a 13 is impossible. So, there is a probability of 0.
Hope this helps!
HELP DUE IN 10 MINS! Use the Pythagorean Theorem to solve for x.
A. 50
B. 5sqrt(2)
C. 2sqrt(293)
D. 2sqrt(5)
Answer:
B. 5sqrt(2)Step-by-step explanation:
x² = 4² + (√34)²x² = 16 + 34x² = 50x = √50x = 5√2\(\huge\large \fbox \green{Answer :}\)
B. 5sqrt(2)
\(\huge\Large \fbox \green{Explanation:}\)
We have
first side of triangle = √34second side of triangle = 4We need to find third side of triangle
let , the third side of triangle is x( x)² = (√34 )² + (4)² ....( by Pythagoras Theorem)
x ² = 34 + 16
x ² = 50
x = √50
x = 5 √2
Hence, the third side is 5√2
On a cale drawing of a hore, the cale i 1 in: 10 ft. If the real hore i 25 ft tall, how tall i the hore on the cale drawing?
If the scale of drawing is 1 inches : 10 feet and the real horse height is 25 feet, then the height of the horse in drawing is 2.5 inches
The scale of drawing the horse = 1 inch : 10 feet
Therefore in scale
The height of the horse in drawing = 1 inch
The height of the horse = 10 feet
The original height of the horse = 25 feet
The height in the picture = x inches
To find the height the horse in the picture, we have to use proportion
1 inch : 10 feet = x inches : 25 feet
1 / 10 = x / 25
1 × 25 = 10x
10x = 25
x = 25/10
x = 2.5 inches
Therefore, the height of the horse in drawing is 2.5 inches
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Let l be the line perpendicular to the plane x - 2y - 4z = 5 and containing the point (2, -5, 0). determine whether the following points lie on line l.
The given points, only the point (4, -9, -8) lies on line 1.
To determine whether certain points lie on the line 1, which is perpendicular to the plane x - 2y - 4z = 5 and contains the point (2, -5, 0), we can check if the coordinates of those points satisfy the equation of the line.
The direction vector of the line 1 is perpendicular to the plane and can be determined from the coefficients of x, y, and z in the plane equation. In this case, the direction vector of the line is (1, -2, -4).
Now, we can write the parametric equation of the line l as:
x = 2 + t * 1
y = -5 + t * (-2)
z = 0 + t * (-4)
To check if a point (x₀, y₀, z₀) lies on the line 1, we need to find a value of t that satisfies the parametric equations.
Let's consider the following points and determine if they lie on line 1:
Point (3, -6, -4)
To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (3, -6, -4) into the parametric equations:
x₀ = 2 + t * 1 --> 3 = 2 + t --> t = 1
y₀ = -5 + t * (-2) --> -6 = -5 - 2 --> t = -1
z₀ = 0 + t * (-4) --> -4 = 0 - 4t --> t = 1
The value of t is not consistent across all equations, so the point (3, -6, -4) does not lie on line 1.
Point (2, -5, 0)
This point is given as the point that line 1 contains. Therefore, it lies on line 1.
Point (4, -9, -8)
To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (4, -9, -8) into the parametric equations:
x₀ = 2 + t * 1 --> 4 = 2 + t --> t = 2
y₀ = -5 + t * (-2) --> -9 = -5 - 2t --> t = 2
z₀ = 0 + t * (-4) --> -8 = 0 - 8t --> t = 1
The value of t is consistent across all equations, so the point (4, -9, -8) lies on line 1.
Therefore, among the given points, only the point (4, -9, -8) lies on line 1.
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The complete question is:
Let l be the line perpendicular to the plane x - 2y - 4z = 5 and containing the point (2, -5, 0). determine whether the following points lie on line l.
Use synthetic division to divide f(x) by x-c then write f(x) in the form f(x) = (x-c)q(x) + r. f(x) = 4x³ +5x²-5; x+2 f(x) = 0 .. Use synthetic division and the remainder theorem to find the remainder when f(x) is divided by x-c. f(x) = 5x +: x² +6x-1; x+5 The remainder is
The remainder when f(x) is divided by x - c is -5. Synthetic division is a shortcut for polynomial long division. It is used to divide a polynomial of degree greater than or equal to 1 by a polynomial of degree 1.
Synthetic division is a shortcut for polynomial long division. It is used to divide a polynomial of degree greater than or equal to 1 by a polynomial of degree 1. In this problem, we'll use synthetic division to divide f(x) by x - c and write f(x) in the form f(x) = (x - c)q(x) + r. We'll also use the remainder theorem to find the remainder when f(x) is divided by x - c. Here's how to do it:1. f(x) = 4x³ + 5x² - 5; x + 2
To use synthetic division, we first set up the problem like this: x + 2 | 4 5 0 -5
The numbers on the top row are the coefficients of f(x) in descending order. The last number, -5, is the constant term of f(x). The number on the left of the vertical line is the opposite of c, which is -2 in this case.
Now we perform the synthetic division: -2 | 4 5 0 -5 -8 -6 12 - 29
The first number in the bottom row, -8, is the coefficient of x² in the quotient q(x). The second number, -6, is the coefficient of x in the quotient. The third number, 12, is the coefficient of the constant term in the quotient. The last number, -29, is the remainder. Therefore, we can write: f(x) = (x + 2)(4x² - 3x + 12) - 29
The remainder when f(x) is divided by x - c is -29.2.
f(x) = 5x +: x² + 6x - 1; x + 5
To use synthetic division, we first set up the problem like this: x + 5 | 1 6 -1 5
The numbers on the top row are the coefficients of f(x) in descending order. The last number, 5, is the constant term of f(x). The number on the left of the vertical line is the opposite of c, which is -5 in this case. Now we perform the synthetic division: -5 | 1 6 -1 5 -5 -5 30
The first number in the bottom row, -5, is the coefficient of x in the quotient q(x). The second number, -5, is the constant term in the quotient. Therefore, we can write:f(x) = (x + 5)(x - 5) - 5
The remainder when f(x) is divided by x - c is -5.
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What is his weekly allowance if he ended with $15?
Which step contains an error?
A.) Step 2
B.) Step 4
C.) Step 6
D.) Step 8
Step 6 contains an error. Option C is correct
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The incorrect step is;
\(\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}\)
The correct step is;
\(\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}\)
Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.
Hence, option C is correct
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what is the chi-square value? round to the nearest hundredth.
Answer:
597
Step-by-step explanation: step by step explanation
Evaluate x4 + 4x3 - 2x2 + 11x - 6 for x = 3
Step-by-step explanation:
\(f(x) = {x}^{4} + 4 {x}^{3} - 2 {x}^{2} + 11x - 6\)
\(f(3) = {3}^{4} + 4. {3}^{3} - 2. {3}^{2} + 11.3 - 6\)
\(f(3) = 81 + 4.27 - 2.9 + 33 - 6\)
\(f(3) = 81 + 108 - 18 + 33 - 6\)
\(f(3) = 198\)
Answer:
198Step-by-step explanation:
x4 + 4x3 - 2x2 + 11x - 6 for x = 3
3^4 + 4 * 3^3 - 2 * 3^2 + 11 * 3 - 6 =
81 + 4 * 27 - 2 * 9 + 11 * 3 - 6 =
81 + 108 - 18 + 33 - 6 =
198
67) At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival is
A) 2 minutes.
B) 4 minutes.
C) 6 minutes.
D) 8 minutes.
E) 10 minutes.
E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.
To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.
In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).
Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.
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What is the factored form of this expression?
4t2 − 27t + 18
A.
(4t − 18)(t − 1)
B.
(4t − 3)(t − 6)
C.
(2t − 9)(2t − 2)
D.
(2t − 6)(2t − 3)
Answer: B. (4t - 3)(t - 6)
Step-by-step explanation:
(4t - 3)(t - 6)
= 4t^2 - 24t - 3t + 18
= 4t^2 - 27t + 18
Answer:
B
Step-by-step explanation:
Sum = -27
Product = 18*4 = 72
Factors = (-24) ; (-3) {(-24)*(-3)=72 & (-24) + (-3) = -27}
4t² -27t + 18 = 4t² - 24t - 3t + (-3)*(-6)
= 4t(t -6) - 3(t - 6)
= (t - 6)(4t - 3)
If a mean weight of two groups of children were different with a p level of .03 is the difference statistically significant? What p level identifies statistical significance?
Yes, if the mean weight of two groups of children is different with a p-value of 0.03, the difference is statistically significant. Typically, a p-value of less than 0.05 is considered statistically significant, indicating that the observed difference is unlikely to be due to chance alone.
Yes, if the p level is .03, then the difference in mean weight between the two groups of children is statistically significant. The p level that identifies statistical significance is generally considered to be .05 or less, meaning that there is a 5% or less chance that the difference observed is due to random chance rather than a true difference between the two groups. Therefore, a p level of .03 is below the commonly accepted threshold for statistical significance and suggests that the difference in mean weight is not likely due to chance alone.
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Solve for v in terms of w, x, y, and z.
ZW = -yxv
V=
Answer:
V= -WZ/xy
Step-by-step explanation:
-yxV=ZW
V=-ZW/yx
V=-ZW/yx
V=-WZ/xy
By which rule are these triangles congruent? A) AAS B) ASA C) SAS D) SSS.
Answer:
option B is correct(ASA)because the S in the middle of the two A(s) makes it congruent