Answer:
First, multiply 5 and 8. That equals 40. Then you take the square root of 40, which doesn't result in a whole number, so you factor 40 and removing perfect squares. In which case the answer would be 2√10
Describe how you would The list below shows the ages of all the presidents inaugurated in the twentieth century. Make a stem-and-leaf plot to answer the question.
42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54
In a stem-and-leaf plot of the data, how many leaves does stem 5 have?show the number 4 and 89 on a stem-and-leaf plot.
The stem-and-leaf plots for both data set are shown in the attachment below.
Stem 5 would have 10 leaves.
How to Make a Stem-and-leaf Plot?For example, if 23, 24, 25, 28 are data points in a data distribution, 2 would be represented as a stem while 3, 4, 5, 8 would be the leaf of the stem. The data would be represented on the stem-and-leaf plot as: 2 | 3, 4, 5, 8.
Given the data, 42, 51, 56, 55, 51, 54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54, the stem-and-leaf plot is shown in the image attached below.
Stem 5 would have 10 leaves, as shown in the stem-and-leaf plot attached below.
The numbers 4 and 89 are represented on the second stem-and-leaf plot in the attachment below.
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Part D
What is the difference of the earnings of movies C and D for that week?
The difference of the earnings of movies C and D for that week is $10,652,270.46 .
What is the difference in earnings?Subtraction is used to determine the difference between two or more numbers.
The difference = earnings of movie D - earnings of movie C
$34.311,887.98 - 23,659,617.52 = $10,652,270.46
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(5√3-√27)^2
How do you prove this is an integer?
Expand the square. Remember that
(a - b)² = a² - 2ab + b²
With a = 5√3 and b = √27, we have
(5√3 - √27)² = (5√3)² - 2 (5√3) √27 + (√27)²
… = 25•3 - 10√81 + 27
… = 75 - 10√(9²) + 27
… = 102 - 10•9
… = 102 - 90
… = 12
Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)
Answer:
-16n-41
Step-by-step explanation:
Answer:
-16n - 41
Step-by-step explanation:
(2 • (-n - 3)) - 7 • (2n + 5)
-n - 3 = -1 • (n + 3)
-2 • (n + 3) - 7 • (2n + 5)
-16n - 41 = -1 • (16n + 41)
Use the leading term for your answer
-16n - 41
A school has 600 pupils. 1/5are in the upper school, 1/4 in the middle school and the remainder in the lower school. How many pupils are in the lower school?
Answer: 330 pupils
Step-by-step explanation:
the number of pupils are in the lower school
= (1- 1/5 - ¼) × 600
= (20/20 - 4/20 - 5/20)×600
= (11/20) ×600
= 330 pupils
Question 9 of 10
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
B and C
Step-by-step explanation:
vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are congruent = they are equally large.
the angles listed in B and C are mirrored across either an imaginary or a directly visible line. and that makes them vertical angles.
[tex] \frac{2}{3} n (4p + \sqrt{36} - 2 {n}^{2} [/tex])
n= -3
p=5
need urgent help
Answer:
-16.
Step-by-step explanation:
2/3 * (-3) * (4*5 + 6 - 2(-3)^2)
= -2(20 + 6 - 18)
= -2 * 8
= -16.
PLEASE HELP ASAP <3
Evaluate: 23+x/8 for x = 8
O 24
O 3.875
O 20
O 18
Answer:
Your first step would be to rewrite the equation, were x =8 so it would look like this
Step-by-step explanation:
23 + 8/8 = ?
than solve. 8/ 8 = 1 and 23+1 = 24
i need help with this pls
Answer:
The answer is the first bullet. (number 1)
Question in the Picture
Step-by-step explanation:
the picture is not representing the real angle sizes. so, don't let yourself get confused by that.
the right neighbor angle of 90° at E is also 90°.
it has to be, because it is the supplementary angle to the left 90° (that means together they are 180°).
remember, all angles around a single point on one side of a line have to sum up to 180° (because the line can be seen as the diameter of a circle, with the point being the center of the circle, and so one side of the line is representing a half-circle and therefore 180°).
for the same reason angle 1 (the lower neighbor of the 90° angle at A) is also 90°.
for the same reason the lower neighbor angle of the 60° angle at E is 180 - 60 = 120°.
for the same reason the angle ABC is 180 - 40 = 140°.
for the angle BCD we need to remember :
the sum of interior angles of a polygon with n sides is
(n − 2) × 180°.
in our case ABCDE has 5 sides, so the sum of all interior angles is
(5 - 2) × 180 = 3×180 = 540°
we know 4 of the interior angles already, so
angle BCD = 540 - 90 - 90 - 120 - 140 = 100°
x is now the supplementary angle to the angle BCD.
so,
x = 180 - 100 = 80°
Can you do it on paper and photos? the answer!
help me
The value of x in all case is
1. The value of x is 2
2. The value of x is 1
3.The value of x is 57
4.The value of x is 93
What is complementary and supplementary angle?If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
1. As the given angle is 90 degree i.e., complementary angle.
So,
54+10x+16=90
20=10x
x=2
2. 65x-12=43x+10 (Vertically opposite angle)
22x= 22
x=1
3. 72= x+15 (Vertically opposite angle)
x= 57
4.x+244+23=360 (Complete angle)
x=93
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Where is the other endpoint located if the midpoint is at (0,-5) and one of the endpoints is (-3,-2)?
Answer:
3,-8
Step-by-step explanation:
x: from -3 to 0 is +3 add +3 more 3
y: from -2 to -5 is -3 add -3 more -8
Please answer its iready press the image below.
30 points btw
Answer:
alternate exterior angles
Step-by-step explanation:
<3 i hope this helps! sorry if it doesnt :)
In an agricultural class, there are 17 freshmen students and 19 sophomore students. What ratio compares the number of freshmen to the number of sophomores (F:S), and what ratio compares the number of sophomores to the number of freshmen (S:F)
Answer:
Freshmen to sophomores - (17:19)
Sophomores to freshmen - (19:17)
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
Lisa kicked a ball against the wall at the indicated angle. what is the measure, in degrees, of <1?
The measure of angle ∠1 will be 68 degrees.
The missing graph is given below.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The diagram is given below.
Then the measure of angle ∠1 will be
68° + 44° + ∠1 = 180°
∠1 = 68°
The measure of angle ∠1 will be 68 degrees.
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Which graph represents the inequality y − 2x ≤ 1?
graph A
graph B
graph C
graph D
four graphs related to the answer options
The graph (A) in the picture represents the solution to the inequality, option (A) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The options are missing.
The graph is in the picture, please refer to the picture.
We have an inequality:
y − 2x ≤ 1
The above inequality represents a straight line with a positive slope.
The right side region of the line is representing the solution to the inequality.
Graph (A) represents the inequality.
Thus, the graph (A) in the picture represents the solution to the inequality, option (A) is correct.
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Will be marked the brainliest if correct
Answer:
6 is the answer
Hope that helps.
Let me know if im wrong :)
Step-by-step explanation:
Can somebody help me find the surface area
To calculate the area of the complex shape:
⇒ must separate the shape into simpler shape
2 rectangles with a length 9ft and a width 6ft1 rectangle with a length of 9 ft and a width 3ft2 triangles with a base of 3 ft and a height 5.4ftLet's calculate:
2 rectangles with a length 9ft and a width 6ft[tex]Area = 9*6+9*6=54+54=108[/tex]
1 rectangle with a length of 9 ft and a width 3ft[tex]Area= 9*3=27[/tex]
2 triangles with a base of 3 ft and a height 5.4ft[tex]Area = \frac{1}{2}* 3*5.4+\frac{1}{2}* 3*5.4=8.1+8.1=16.2[/tex]
Total Area = [tex]108+27+16.2= 151.2[/tex]
Answer: 151.2 ft²
Hope that helps!
Simplify the expression.
(x6y-6)
————
(x8y-8)
Evaluate P(4, 2)
O 24
O 12
06
If the coordinate of A is (0, -2) and the coordinate of B is (10, -6), the then midpoint of \overline{AB} AB is: Part A The X portion of the midpoint is __________________. Part B The Y portion of the midpoint is _________________.
Step-by-step explanation:
it is very simple :
the midpoint coordinates are created as the midpoint of the x coordinates, and the midpoint of the y coordinates.
the x coordinate of the midpoint is
(0 + 10)/2 = 10/2 = 5
the y coordinate of the midpoint is
(-2 + -6)/2 = -8/2 = -4
HELP ME OUT peps correct answers only
Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.
What is the Subtraction Property of Equality?In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.
To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.
If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.
The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.
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What is the axis of symmetry of h(x) = 5x2 40x 64?
The axis of symmetry of h(x) = 5x2 + 40x + 64 = -4
The formula for calculating the axis of symmetry is expressed as:
Axis of symmetry x = -b/2a
h(x) = 5x^2 + 40x + 64
a = 5 and b = 40
One force of 700 pounds and one force of 490 pounds act on a body at the same point so that the resultant force is 1120 pounds. find the angle between the resultant and the smaller force, to the nearest degree.
Answer:
angle 700 < angle 1120 pounds
What is the recursive formula for this geometric sequence?
6, -24, 96, -384, ...
Answer: a1=6
An = An-1 - 4
Step-by-step explanation:
N represent what number in the sequence you choose. So in the equation n-1 would be the umber in the equation subtracting 1 then subtracting the difference. The factor you are multiplying by in this sequence is -4. You find the difference by taking any number in the sequence and dividing it by the previous number in the sequence.
if population function x has mean M(x)=2 and M(x²)=8, find its standard deviation
The standard deviation of the population function is 2
How to determine the standard deviation?The given parameters are:
M(x) = 2
M(x²)=8
The standard deviation is calculated using:
[tex]\sigma = \sqrt{M(x^2) - (M(x))^2[/tex]
Substitute known values
[tex]\sigma = \sqrt{8 - 2^2[/tex]
Evaluate the expression
[tex]\sigma = 2[/tex]
Hence, the standard deviation of the population function is 2
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If LogN= 3.8609, find the value of N, to the nearest integer
[tex]~~~~~~~\log_{10} N = 3.8609\\\\\\\implies N = 10^{3.8609} ~~~~~~~~~;[\log_b c =d \implies b^d = c]\\\\\\\implies N \approx 7259[/tex]
Helppp
The functions f and g are defined as follows:
#a
[tex]\\ \rm\Rrightarrow f(-4)[/tex]
[tex]\\ \rm\Rrightarrow 3(-4)+2[/tex]
[tex]\\ \rm\Rrightarrow -12+2[/tex]
[tex]\\ \rm\Rrightarrow -10[/tex]
#b
#1
[tex]\\ \rm\Rrightarrow y=\dfrac{2x-1}{3}[/tex]
Interchange x,y[tex]\\ \rm\Rrightarrow x=\dfrac{2y-1}{3}[/tex]
Find y
[tex]\\ \rm\Rrightarrow y=\dfrac{3x+1}{2}[/tex]
Inverse is
[tex]\\ \rm\Rrightarrow g^{-1}(x)=\dfrac{3x+1}{2}[/tex]
#2
[tex]\\ \rm\Rrightarrow gof(x)[/tex]
[tex]\\ \rm\Rrightarrow g(f(x))[/tex]
[tex]\\ \rm\Rrightarrow g(3x+2)[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2(3x+2)-1}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6x+4-1}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6x+3}{3}[/tex]
If we factor out
[tex]\\ \rm\Rrightarrow \dfrac{2x+1}{1}[/tex]
[tex]\\ \rm\Rrightarrow 2x+1[/tex]
#c
[tex]\\ \rm\Rrightarrow f(x)=g(x)[/tex]
[tex]\\ \rm\Rrightarrow 3x+2=\dfrac{2x-1}{3}[/tex]
[tex]\\ \rm\Rrightarrow 3(3x+2)=2x-1[/tex]
[tex]\\ \rm\Rrightarrow 9x+6=2x-1[/tex]
[tex]\\ \rm\Rrightarrow 7x=-7[/tex]
[tex]\\ \rm\Rrightarrow x=-1[/tex]
Answer:
Given functions:
[tex]f(x)=3x+2[/tex]
[tex]g(x)=\left(\dfrac{2x-1}{3}\right)[/tex]
Part (a)
[tex]\begin{aligned}\implies f(-4) & = 3(-4)+2\\& = -12+2\\ & = -10\end{aligned}[/tex]
Part (b)(i)
[tex]\begin{aligned}g(x) & =\left(\dfrac{2x-1}{3}\right)\\\\\textsf{Swap }g(x) \textsf{ for }y : \\\implies y & = \left(\dfrac{2x-1}{3}\right)\\\\\textsf{Make } x \textsf{ the subject}: \\\implies 3y & = 2x-1\\3y+1 & = 2x\\x & = \dfrac{3y+1}{2}\\\\\textsf{Swap }x \textsf{ for }g^{-1}(x) \textsf{ and }y \textsf{ for }x:\\\implies g^{-1}(x) & = \dfrac{3x+1}{2}\end{aligned}[/tex]
Part (b)(ii)
[tex]\begin{aligned}gf(x) & = \dfrac{2[f(x)]-1}{3}\\\\& = \dfrac{2(3x+2)-1}{3}\\\\& = \dfrac{6x+4-1}{3}\\\\& = \dfrac{6x+3}{3}\\\\& = \dfrac{6x}{3}+\dfrac{3}{3}\\\\& = 2x+1\end{aligned}[/tex]
Part (c)
[tex]\begin{aligned}f(x) & = g(x)\\\\\implies 3x+2 & = \dfrac{2x-1}{3}\\\\3(3x+2) & = 2x-1\\\\9x+6 & = 2x-1\\\\7x & = -7\\\\\implies x & = -1\end{aligned}[/tex]
HELP ASAP 50 POINTS - WILL MARK BRAINLIEST
At U.S. Cellular Field, Home of the Chicago white Sox, The distance from home plate to the center field fence is 400 ft. and the height of the center field fence is 8 ft. If in this project, you assume that a batter always hits the ball 2 feet above the ground, then the angle of elevation rounded to the hundredths place, needed for a baseball to just clear the centerfield fence at US cellular Field is
How do you know that a ball hit 2 ft off the ground at US cellular field will need to leave the bat at an angle of 0.86° to just clear the 8 ft centerfield fence located 400 ft from home plate? The question can be answered using trigonometry, or more specifically, the tangent ratio and its inverse. Think about it.
Draw a triangle & label it, assuming you don't know the angle of elevation. Use the underlined facts to calculate an angle of elevation of 0.86 degrees.
Answer:
0.86°
Step-by-step explanation:
The relations between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. It tells you the relation between an angle and its adjacent and opposite sides is ...
Tan = Opposite/Adjacent
__
angle from the batThe geometry described in the problem statement is modeled by the right triangle shown in the attachment. (The horizontal scale has been compressed.) The angle of interest has an adjacent side of 400 ft. Its opposite side is the additional elevation the ball must have to clear the fence (8 ft - 2 ft) = 6 ft.
For angle α, we have the relation ...
tan(α) = (6 ft)/(400 ft) = 0.015
The inverse tangent function can be used to find the angle from its tangent:
α = arctan(0.015) ≈ 0.859372°
The angle of elevation needs to be a minimum of 0.86°.
Elijah made 14 quarts of punch for a party. How many gallons of punch did he make?
Answer:
3.5 gallons of punch
Step-by-step explanation:
There are 4 quarts in 1 gallon.
Set up equation to convert 14 quarts to gallons: 14÷4 = 3.5.
Elijah made 3.5 gallons of punch.