Which of the following values has an exact square root?
Answers
Answer:a
Step-by-step explanation:
Related Questions
Solve for s.
s - -37 = 98
Answers
Subtracting a negative becomes addition.
S - -37 = 98
Simplify:
S + 37 = 98
Subtract 37 from both sides:
S = 61
Answer:
61
Step-by-step explanation:
98 - 37 = 61
s = 61
What kind of transformation is illustrated in this figure?
Answers
The transformation illustrated in the figure is translation.
What is Translation?Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.
Analysis:
Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.
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8. Suppose that the time that a new roof will last before needing to be replaced follows a normal distribution, with a mean of 25 years and a standard deviation of 5 years. Estimate the percentage of roofs that will last(a) between 15 and 35 years. %(b) longer than 35 years. %(c) less than 20 years. %(d) between 10 and 35 years. %
Answers
Problem Statement
The question tells us that the number of years new roofs last follows a normal distribution with a mean of 25 and a standard deviation of 5 years.
We are asked to find the following percentages of:
a) between 15 and 35 years.
b) longer than 35 years.
c) less than 20 years
d) between 10 and 35 years.
Method
To solve this question, we need to take note of two formulas. The first is how to calculate the z-score of the individual years, and the other is how to calculate the z-score for a range of years.
Z-score for Individual years:
\(\begin{gathered} Z=\frac{X-\mu}{\sigma} \\ \text{where,} \\ X=\text{individual year} \\ \mu=\text{mean of the normal distribution} \\ \sigma=\text{standard deviation} \end{gathered}\)Z-score for a range of years:
\(\begin{gathered} Z_1Let us apply these formulas to solve the question.
Implementation
a) Between 15 and 35 years:
\(\begin{gathered} Z_1=\frac{15-25}{5} \\ Z_1=-2 \\ \\ Z_2=\frac{35-25}{5} \\ Z_2=2 \\ \\ \text{Thus, the percentage between 15 and 35 years is given as:} \\ P(-2b) longer than 35 years:
\(\begin{gathered} 35\text{ years is 2 standard deviations away from the mean. Thus from the table given, we can conclude that} \\ \text{the percentage greater than 35 years is:} \\ \\ \frac{100-95}{2}=2.5\text{ \%} \end{gathered}\)c) less than 20 years:
\(\begin{gathered} 20\text{ years is 1 standard deviation from the mean.} \\ \text{Thus, we have:} \\ \frac{100-68}{2}\times100=16\text{ \%} \end{gathered}\)d) between 10 and 35 years:
\(\begin{gathered} 10\text{ is 3 standard deviations away from the mean of 25.} \\ Thus,\text{ we have:} \\ 10\text{ accounts for }\frac{99.7}{2}\text{ \% of the range from 10 to 35} \\ =49.85\text{ \%} \\ \\ 35\text{ is 2 standard deviations from the mean of 25.} \\ \text{Thus, we have:} \\ 35\text{ accounts for }\frac{95}{2}\text{ \% of the range from 10 to 35} \\ =47.5\text{ \%} \\ \\ \text{Thus, the entire range is:} \\ 49.85\text{ \% + 47.5\% = 97.35\%} \end{gathered}\)21. Which statement is a good definition?
Right angles are angles formed by two intersecting lines.
Skew lines are lines that do not intersect.
A
square is a rectangle with four congruent sides.
Parallel lines are lines that do not intersect.
Answers
The statement that is a good definition is D. Parallel lines are lines that do not intersect.
How to illustrate the information?A type of quadrilateral with all sides being equal and all angles being 90 degrees is a square.
Lines that do not cross each other but have a constant perpendicular distance are known as parallel lines. Right angles and skew lines are perpendicular to one another but not parallel. Therefore, a square is a type of rectangle in which all four sides are parallel to one another.
Therefore, based on the information, the correct option is D
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Calculate given angle to the nearest agree
Answers
Answer:
37°
Step-by-step explanation:
too tired to give an explanation, just trust it
Answer:
37
Step-by-step explanation:
37
is the nearest
kkkkkkkkkkkkkkkkkkkk
−8 3/4÷2 1/6 please show me ur work
Answers
Answer:
- 4 1/26Step-by-step explanation:
Solving in steps:
- 8 3/4 ÷ 2 1/6 =- 35/4 ÷ 13/6 =- 35/4 × 6/13 = - 35/2 × 3/13 =- 105/26 =- 4 1/26Farmer Ted bales large round bales of hay to store in his barn for winter feeding. How much hay is in a round bale, in terms of π? A)10π ft3 B) 20π ft3 C) 40π ft3 D) 80π ft3
Answers
Answer
B 20pi ft 3
Step-by-step explanation:
At a little-known vacation spot, taxi fares are a bargain. A 64-mile taxi
ride takes 72 minutes and costs $57.60. You want to find the cost of a 49-mile taxi ride. What unit
price do you need?
Answers
We need unit price per mile
Spare way
But we can solve it through ratios if time is same
64/57.6=49/x1.12=49/xx=49/1.12x=$43.75Answer:
$44.10
Step-by-step explanation:
Method 1Given:
64 miles = $57.60To find the cost per mile, divide the total given cost by the given number of miles:
⇒ Cost per mile = $57.60 ÷ 64 = $0.90
To find the cost of a 49 mile tax ride, multiply the cost per mile by 49:
⇒ Cost of 49 mile tax ride = $0.90 × 49 = $44.10
Method 2We can use ratios of cost to miles to find the solution.
Let x = cost of a 49 mile taxi ride
\(\begin{aligned}\sf \$57.60:64 & = \sf x:49\\\sf \dfrac{57.6}{64} & =\sf \dfrac{x}{49}\\\sf 57.6(49) & = \sf 64x\\\sf 2822.4 & = \sf 64x\\ \sf x&= \sf \dfrac{2822.4}{64}\\ \sf x & = \sf \$44.10\end{aligned}\)
In a year when the maximum income for Social Security was $118,500, Bart worked at two jobs. In one job he earned $99,112. In his second job, he earned $56,222.
Both of his employers took out Social Security tax. As a result, Bart had paid excess Social Security tax, and the government must return some of it to him. How
much does the government owe him for excess Social Security paid?
Answers
Answer:
The government owes Bart the excess Social Security tax that he paid, which is the amount of tax he paid on his income above the maximum income for Social Security. In this case, that would be $118,500 (the maximum income for Social Security) minus $99,112 (what he earned at his first job) minus $56,222 (what he earned at his second job) = $13,166. So the government owes Bart $13,166 for the excess Social Security tax he paid.
Answer:
Step-by-step explanation:
He earned a total of 155,334.
99112 plus 56222.
subtract the max income from the income total
155,334 - 118500 = 36834
He is owed the social security tax he paid on 36834.
The problem does not give the social security rate.
6-4x=7x-9x+6 what is he value of x?
Answers
6-4x=-2x+6
0=6x
Divide over the equals sign:
x=0
x = 0
Step-by-step explanation:
\({ \blue{ \sf{6 - 4x = 7x - 9x + 6}}}\)
\({ \blue{ \sf{6 - 4x = -2x + 6 }}}\)
\({ \blue{ \sf{6 - 6 - 4x = -2x }}}\)
\({ \blue{ \sf{ 0 = - 2x}}}\)
Divide both the sides by -2
\({ \blue{ \sf{ \frac {0}{2} = {- \frac {2}{2}x}}}} \)
x = 0
Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x,y)→(14x,14y)
to create pentagon M’N’P’Q’R’.
Which statement is true? Select all that apply.
Answers
The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
If a polygon is dilated by a scale factor = k
Rule to be followed as;
(x, y) → (kx, ky)
Here, k = Scale factor
If 0 < k < 1, size of the image will be reduced.
Similarly, k > 1, size of the image will be enlarged.
We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.
Rule used for the transformation,
(x, y) → (1/4x, 1/4y)
Here, the scale factor through which MNPQR has been dilated is 1/4.
Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.
Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.
Option (2) is the answer.
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The complete question is: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.
Which statement is true?
a. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.
b. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.
c. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.
d. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.
In which quadrant does the point (-1, 24) lie?
OA.
Quadrant 1
OB. Quadrant II
OC. Quadrant IV
D. Quadrant III
Answers
The point (-1,24) goes left one and up 24. This is inside the top left quadrant (quadrant II)
What is the total surface area of the pyramid below?
5 ft
-
6ft
6 ft
Please I need answer!
Answers
Answer:
17 ft that's the ans
I don't know if it is correct
How many solutions does the following system of equations have?
Answers
Answer:
these equation hv 1 solution
like this
Step-by-step explanation:
may be this one help u then plz mark me briallent
3 1/3 divided by 1 1/5
Answers
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.
Answers
Answer:
y=1.003009+0.003453x
or
GPA=1.003009+0.003453(SAT Score)
Step-by-step explanation:
The least square regression equation can be written as
y=a+bx
In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.
SAT score (X) GPA (Y) X² XY
421 2.93 177241 1233.53
375 2.87 140625 1076.25
585 3.03 342225 1772.55
693 3.42 480249 2370.06
608 3.66 369664 2225.28
392 2.91 153664 1140.72
418 2.12 174724 886.16
484 2.5 234256 1210
725 3.24 525625 2349
506 1.97 256036 996.82
613 2.73 375769 1673.49
706 3.88 498436 2739.28
366 1.58 133956 578.28
sumx=6892
sumy=36.84
sumx²=3862470
sumxy=20251.42
n=13
\(b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }\)
b=9367.18/2712446
b=0.003453
a=ybar-b(xbar)
ybar=sum(y)/n
ybar=2.833846
xbar=sum(x)/n
xbar=530.1538
a=2.833846-0.003453*(530.1538)
a=1.003009
Thus, required regression equation is
y=1.003009+0.003453x.
The least-squares regression equation that shows the best relationship between GPA and the SAT score is
GPA=1.003009+0.003453(SAT Score)
The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?
Answers
Be sure to include the correct unit in your answer.
15 . Mark me brainliest !!
Please Help ASAP Due in 1 hour!!! Marking Brainliest!!!
Answers
Answer:
B) F = RN/(1 - R)Step-by-step explanation:
R = F/(N + F)R (N+F) = FRN + RF = FF - RF = RNF(1 - R) = RNF = RN/(1 - R)Correct option is B)
let C be the curve y=5sqrtx for 1.1
Answers
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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Use Substitution to solve System of equations
y=-4x
6x-y=30
Answers
The solution for the given system of equations is
x = 3
y = -12
What are linear equations in two variables?
Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero.
Given two linear equations of two variables.
y = -4x .....eq 1
6x - y = 30 .....eq 2
We have to solve them using substitution.
Now,
by substituting eq 1 in eq 2,
6x -(-4x) = 30
6x + 4x = 30
10x = 30
x = 3
from eq 1,
y = -4x = -4*3 = -12
Therefore, x = 3 and y = -12
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This dot plot is not symmetric, and the data set has two
extreme values.
1 2 3 4
6 7 8 9 10
What is the best measure of center for this dot plot?
O A. The interquartile range (IQR)
O B. The mean
O C. The mean absolute deviation (MAD)
O D. The median
Answers
Answer:
D
Step-by-step explanation:
pls help meeeeeeeeeee!!!!!
Answers
Answer:
See belowStep-by-step explanation:
a)
According to first picture, 1/4 of the painting Josephine was supposed to paintb)
According to second picture, Josephina painted the half of the paint or 1/2 portion of what she had to do.c)
As per the two fractions above, Josephine actually painted:
1/4*1/2 = 1/8 of the muralAnswer:
below.
Step-by-step explanation:
a.
1 block out of 4 blocks filled so she was supposed to fill
\(\frac{1}{4} \) th of the painting or 25% of the painting.
b.
she only completed half of her assigned work so
\(\frac{1}{2} \) fraction was done of her assigned portion. or 50% portion of the picture.
c.
\(\frac{1}{2}* \frac{1}{4} \) = \(\frac{1}{8} \)
Please it’s due today I need help ASAP
Answers
Let f (x) = x - 4 . Graph g(x) = f (5x)
Choose the description of the transformation from the graph of f to the graph of g.
A.) The graph of g is a horizontal stretch of the graph of f by a factor of 5.
B) The graph of g is a horizontal shrink of the graph of f by a factor of 1/5
C) The graph of g is a vertical stretch of the graph of f by a factor of 5
D) The graph of g is a vertical shrink of the graph of f by a factor of 1/5
And what points would be plotted on a graph?
Answers
The graph of g(x) is on the image at the end, and the correct option for the transformation is B.
Which is the transformation applied?We define a horizontal dilation of scale factor k as:
g(x) = f(k*x)
if k > 1, we have a stretch.
if 0 < k < 1, we have a shink of scale factor 1/k
Here we have:
g(x) = f (5x) = 5x - 4
We can notice that k = 5, then we have a stretch, thus, the correct option is B.
The graph of function g(x) can be seen in the image at the end.,
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Help whit this dawg I can hive 20 points!
Traduction:
Calculate the base (x) of the following figure built with 2 right triangles
Answers
Answer:
x = 38.74
Step-by-step explanation:
We know that the base of the entire figure is made of the bases of both triangles.Thus, we can find the bases of the two triangles and add them to find the base of the entire figure.
Since we have two right triangles, we can find the base of each triangle using trigonometry.Finding the base of the first triangle
Let's call the triangle with the 60° angle and the side with a length of 30 units triangle A and let's call its base side z.The Triangle Sum Theorem says that the sum of a triangle's angle measures always equal 180°.Since we have a right triangle, the measure of the third angle in this triangle must be 30° as 180 - (60 + 90) = 30 and 60 + 90 + 30 = 180.A triangle with a 30°, 60°, and 90° (right) angle is called a 30-60-90 triangle.The sides of 30-60-90 triangles adhere to the following rules:
The side opposite the 30° angle is the shortest side and its length can be referred to as a.The side opposite the 60° angle is the medium/longer side and its length can be referred to as a*√(3).The side opposite the 90° (right) angle is the longest side called the hypotenuse and its length can be referred to as 2a.Since the side opposite the 60° angle is 30, we can find a by applying the rule for the side opposite the 60° angle in a 30-60-90 triangle:
Step 1: Make an equation out of the fact that the side opposite the 60° equals a*√(3)
30 = a*√(3)
Step 2: Divide both sides by √(3) to find a, the length of the base of triangle A:
(30 = a * √(3)) / √(3)
30 / √(3) = a
17.32050808 = a
It's better not to round since rounding now at this intermediate step may interfere with our work when trying to find the base of the entire figure.Thus, the length of the base of triangle A is 17.32050808 units.
Finding the base of the second triangle:
We can call the triangle with the 35° angle and the side with a length of 15 units triangle B.We can allow z to represent the length of the base of triangle B.Since we have a right triangle, we'll need to use one of the trigonometric ratios to find z, the length of the base of triangle B.When the 35° angle is our reference angle, z is the adjacent side and the 15 unit side is the opposite side.Thus, we can use the tangent ratio to find z, the length of triangle B's base.The tangent ratio is given by:tan(θ) = opposite / adjacent, where
θ is the reference angleNow we can plug in 35 for θ and 15 for the opposite side to find the adjacent side (aka the length of the base of triangle B):
Step 1: Plug in 35 for θ and 15 for the opposite side:
tan(35) = 15 / adjacent
Step 2: Multiply both sides by the adjacent side:
(tan(35) = 15 / adjajcent) * adjacent
adjacent * tan(35) = 15
Step 3: Divide both sides by tan(35) to find the length of the adjacent side (i.e., the length of the base of triangle B):
(adjacent * tan(35) = 15) / tan(35)
adjacent = 15 / tan(35)
adjacent = 21.4222201
Thus, the length of the base of triangle B is 21.4222201 units.
Find the base(x) of the figure:
Now we can add the lengths of the bases of triangles A and B to find x, the base of the figure:
Length of triangle A's base + Length of triangle B's base = base of figure (x)
17.32050808 + 21.4222201 = x
38.74272818 = x
38.74 = x
Thus, the base of the figure built with 2 right triangles is 38.74.
A local store charges $2.25 per pound for bananas and $4.39 for a gallon of apple juice. What is the cost of 3.5 pounds of bananas and one gallon of apple juice?
Answers
2.25(3.5)+4.39=$12.27
Find the slope of the line that contains the point (-8,3) and (4,1) show your work
Answers
Answer:
m=-1/6
Step-by-step explanation:
m=1-3/4+8=-2/12=-1/6
Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
Answers
-3≤-1, so we must use the 7/2+2x function.
Insert x into the function that has a true domain statement:
f(-3)=7/2+2(-3)
Evaluate:
f(-3)=7/2-6
Obtain a common denominator to subtract fractions:
f(-3)=7/2-(6•2/1•2)
Remember, -6 is equivalent to -6/1, so we multiply the numerator and denominator by 2 to get a common denominator.
Simplify:
f(-3)=7/2-12/2
Subtract the numerators only; denominators stay as 2:
f(-3)=(7-12)/2
Answer: f(-3)=-5/2
—————————————————————
f(-1)
-1≤-1, so we must use the 7/2+2x function again. We must always check x in all domain piecewise cases.
Let’s evaluate f(-1):
f(-1)=7/2+2(-1)
f(-1)=7/2-2
Obtain a common denominator; -2=-2/1:
f(-1)=7/2-(2•2/1•2)
f(-1)=7/2-4/2
f(-1)=(7-4)/2
Answer: f(-1)=3/2
—————————————————————
f(3)
Let’s check all domain cases. We see the only true statement is: 3≥3, so we must use the 1/4x function.
f(3)=1/4(3)
Answer: f(3)=3/4
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Noha, Sarah, and Karima are sisters. Noha is 3 years older than Sarah.
Sarah is 2 years older than Karima, who is 20 years old. How old is
Noha ?
Answers
Answer:
25 years old
Step-by-step explanation:
karima is 20 years old
Sarah is 2 years older than karima (20+2= 22)
Noha is 3 years older than Sarah
if sara is 22 then noha is 22+3=25
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
Answers
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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