Mode means the number that appears most often in the data. Below I provided a tally of how many each of the numbers appear
59: twice
57: once
56: once
50: once
58: once
51: once
54: once
59: once
55: once
52; once
53: once
As you can see 59 appears the most often, being listed twice in the data set, and is therefore the mode
Hope this helped!
Answer:
your answer would be 59 scenice it goes twice i hope this helps have a great day
Step-by-step explanation:
Which statements are true? Check all that apply.
The circumscribed angle L has a measure of 49°.
The circumscribed angle L has a measure of 65.5°.
If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
If the measure of arc HJ is 98°, the measure of angle HKJ is 98°.
If the measure of arc HJ is 98°, the measure of arc HK is 131°.
The circumscribed angle L has a measure of 49°.
If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
If the measure of arc HJ is 98°, the measure of arc HK is 131°.
Answer:
True, 1, 3, 5
Step-by-step explanation:
1. Angle L is sircumsribed angle, thenMJ⊥JL and MK⊥KL, so the measure of the angle L is
360°-131°-90°-90°=49° (the sum of all interior angles in the quadrilateral is 360°)
True
2. False, because m∠L=49°.
3. If the measure of arc HJ is 98°, then the measure of the central angle HMJ is 98°.
True
4. If the measure of arc HJ is 98°, then the measure of the central angle HMJ is 98° and the meausre of inscribed angle HKJ subtended on the arc HJ is half of the central angle measure and is equal to 49°.
False
5. If the measure of arc HJ is 98°, then the measure of the arc HK is
360°-131°-98°=131°
True
What is the range of the function g(x) = 3x2 - 6x + 3 when the domain is defined as the set of integers, x, such that 0<=x<=4? Show all work. I really need help y’all I have and f :(
Answer:
the domain of this function is [0, 27]
Step-by-step explanation:
One way of answering this question would be to make a table of x and y values. Your x-values would be [0, 4] (that is, all x values between 0 and 4, including end points.
x y = 3x² - 6x + 3
0 3
1 0
2 3
4 27
From this table, it appears highly likely that the smallest y value would be 0, at x = 1, and that the largest would be 27 at x = 4. Thus, the domain of this function is [0, 27].
What is the value of b in the equation (y^b)^4=1/y^24?
A.) -20
B.)-6
C)6
D.)20
Answer:
b = 6
Step-by-step explanation:
In (y^b)^4=1/y^24 we can re-write (y^b)^4 as y^(4b) and then equate this result to y^24. Setting the exponents equal to one another, we get 4b = 24, or b = 6.
Write an equation for each translation of .
5.5 units right
y = | x | – 5.5
y = | x + 5.5 |
y = | x | + 5.5
y = | x – 5.5 |
Answer:
C is the answer i did this before!
Step-by-step explanation:
evaluate this for me:
Answer:
0 or the third option down
Step-by-step explanation:
square root of 36-4(1)(9)
square root of 36-36
square root of 0
0
ANSWER
0
EXPLANATION
The given expression is:
[tex] \sqrt{ {b}^{2} - 4ac} [/tex]
We want to find the value of this expression when, a=1, b=-6 and c=9.
We substitute the given values into the expression to obtain:
[tex] \sqrt{ { (- 6)}^{2} - 4(1)(9)} [/tex]
We evaluate to obtain:
[tex] \sqrt{ 36- 36} [/tex]
This simplifies to
[tex] \sqrt{ 0} = 0[/tex]
The correct answer is the 3rd option.
an equilateral triangle has a side length of 10 units. what is its area?
Answer:
Area of equilateral triangle = 43.3 units^2
Step-by-step explanation:
An equilateral triangle is a triangle in which all three sides of triangle are equal.
So,Length = 10 units
Area of triangle = [tex]\frac{\sqrt{3} }{4}*(side)^2[/tex]
= [tex]\frac{\sqrt{3} }{4}*(10)^2[/tex]
= [tex]\frac{\sqrt{3} }{4}*(100)[/tex]
= [tex]43.3units^2[/tex]
So, Area of equilateral triangle = 43.3 units^2.
The answer is:
The area of the triangle is equal to [tex]A=43.30units^{2}[/tex]
Why?To calculate the area of an equilateral triangle, we need to use the following formula:
[tex]A=\frac{s^{2} *\sqrt{3}}{4}[/tex]
Now, we are given an equilateral triangle, so we know that all of its sides are equal to 10 units.
So, calculating the area we have:
[tex]A=\frac{s^{2} *\sqrt{3} }{4}\\\\A=\frac{(10units)^{2} *\sqrt{3} }{4}\\\\A=\frac{100units^{2} *\sqrt{3} }{4}=43.30units^{2}[/tex]
Have a nice day!
write 8.54 x 10 to the 3rd power in standard notation
Answer:
= 8.54 × 101
(scientific notation)
= 8.54e1
(scientific e notation)
= 85.4 × 100
(engineering notation)
(one)
= 85.4
(real number)
What is the quotient of 78,600 + 12?
6,300
6.460
6,550
6.630
bious Question
Question 15 (Not Answer
The quotient of 78,600 and 12 is 6,550
Answer:
6,550
Step-by-step explanation:
Simplify 8r+(-4r)+3 and then solve if r=5
Simplify= 4r+3
Because 8r plus -4r which is 4r and then 3 can’t be simplified so u keep it the same
Then the answer if r=5 is 23
Because the equation looks like 4(5)+3
5 times 4 is 20 plus 3 is 23
Final answer:
The expression 8r+(-4r)+3 simplifies to 4r + 3. Substituting r=5 into the simplified expression gives you 4(5) + 3, which equals 23.
Explanation:
To simplify the expression 8r+(-4r)+3, you combine the like terms which are 8r and -4r. They are like terms because they both contain the variable r.
Simplifying the like terms:
8r + (-4r) = 8r - 4r = 4r
So now the expression simplifies to 4r + 3. To solve for r = 5, you substitute the value of r into the simplified expression:
4r + 3 becomes 4(5) + 3,
20 + 3 = 23.
Therefore, when r = 5, the simplified expression evaluates to 23.
Use the properties of exponents to solve for the each variable.
a=8+2=10; b=4•5=20; c=6-2=4
Answer:
a=10
b=20
c=4
Step-by-step explanation:
The circumference of a pizza is 81 in. What is the radius?
If the circumference of a pizza is 81 inches, the radius would be 12.89155 inches.
Please help me idk this
Answer:
[tex]\large\boxed{Surface\ Area=63\ cm^2}[/tex]
Step-by-step explanation:
We have
square with sides s = 3cm
four triangles with base b = 3cm and height h = 9cm.
The formula of an area of a square:
[tex]A_\square=s^2[/tex]
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{bh}{2}[/tex]
Substitute:
[tex]A_\square=3^2=9\ cm^2\\\\A_\triangle=\dfrac{(3)(9)}{2}=\dfrac{27}{2}=13.5\ cm^2[/tex]
The Surface Area:
[tex]S.A.=A_\square+4A_\triangle\\\\S.A.=9+4(13.5)=9+54=63\ cm^2[/tex]
find the area of the figure
Answer:
A = 252Step-by-step explanation:
It's a trapezoid.
The formula of an area of a trapezoid:
[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]
b₁, b₂ - bases
h - height
(look at the picture)
Use the Pythagorean theorem to calculate the length x:
[tex]x^2+12^2=15^2[/tex]
[tex]x^2+144=225[/tex] subtract 144 from both sides
[tex]x^2=81\to x=\sqrt{81}\\\\x=9[/tex]
Substitute:
[tex]b_1=9+12+9=30\\b_2=12\\h=12[/tex]
[tex]A=\dfrac{30+12}{2}\cdot12=(42)(6)=252[/txt]
What is the value of x in this figure? 282√ 28 143√ 283√ A right triangle with one of the acute angles labeled 30 degrees. The hypotenuse is labeled x. The leg across from 30 degree angle is labeled 14.
Using the law of sines:
Sin (angle) = opposite leg / hypotenuse
Sin(30) = 14 /x
x = 14 * sin(30)
x = 28
Answer:
the answer is 28
Step-by-step explanation:
X represents the # of trees. Y represents the height. How many 150
Answers
105
50
30
80
Answer: 30
Step-by-step explanation:
How much of Brand A fruit punch (40% fruit
juice) must be mixed with 3 gal. of grape juice
to create a mixture containing 58% fruit juice?
Answer: 98?
Step-by-step explanation:
(HELP ASAP PLEASE)
Aunt Gwen is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Hillsboro Bakery charges $4 for each cupcake, plus $28 for the large cake. Carson's Sweet Shoppe charges $55 for the large cake and $1 for each cupcake. If Aunt Gwen orders a certain number of cupcakes, the cost will be the same at either bakery. How many cupcakes would that include? What would the total cost be?
If Aunt Gwen orders ___ cupcakes, it will cost $ ___ at either shop.
Answer:
9 cupcakes and 64$
Step-by-step explanation:
try the math
So first, set up an equation for each shop, for the first one you can write 4x+28 (since it is 4 dollars for each cupcake and 28 dollars for the cake) and for the second shop you can write 55+x ( 55 dollars for cake and a dollar for each cupcake.) now you can set the 2 equations equal to each other because they want the number for cupcakes where the price will be equal. So 4x+28=55+x and then solve. I don’t want to completely tell you the answer but if you are stuck, you can tell me and I will gladly help.
The following set of coordinates represent which figure?(7,10) (4,7) (6,5) (9,8)
Answer: i think a diamond
Step-by-step explanation:
Let's assume these are the vertices in order and calculated the squared lengths of the sides. Let's calculate the vector for each side, which is the difference of the endpoints:
(7,10) - (4,7) = (3, 3)
(4,7) - (6,5) =(-2, 2)
(6,5) - (9,8) = (-3, -3)
(9,8) - (7,10) = (2, -2)
We see the pattern: (3,3) = -(-3,-3) and (-2,2) = -(2,-2)
We have two pairs of opposite vectors so we have a parallelogram.
Let's check the dot product of adjacent sides:
(3,3) . (-2, 2) = 3(-2) + 3(2) = 0
Zero dot product, we have perpendicularity. A parallelogram with one right angle is a
Answer: Rectangle
The adjacent sides are clearly not congruent so it's not a square
.
given the functiom y=x^4 -8x^2+16. on which intervals is the function increasing
Answer:
[tex]x\in (-2,0)\cup (2,\infty)[/tex]
Step-by-step explanation:
Find the derivative of the function [tex]y=x^4 -8x^2 +16:[/tex]
[tex]y'=4x^3 -8\cdot 2x\\ \\y'=4x^3 -16x[/tex]
The function is increasing when [tex]y'>0,[/tex] so solve the inequality
[tex]4x^3-16x>0\\ \\4x(x^2-4)>0\\ \\4x(x-2)(x+2)>0\\ \\x\in (-2,0)\cup (2,\infty)[/tex]
You can see from the graph that the function increases for [tex]x\in (-2,0)\cup (2,\infty)[/tex]
Final answer:
To determine the intervals where the function y = x⁴ - 8x² + 16 is increasing, calculate the first derivative, find its critical points, and analyze the sign changes. The function is increasing on the intervals (-∞, -2), (0, 2), and (2, ∞).
Explanation:
Intervals Where the Function is Increasing
To determine on which intervals the function y = x⁴ - 8x² + 16 is increasing, we need to analyze the function's first derivative. The first derivative, y', indicates the slope of the tangent to the function at any point. When y' > 0, the function is increasing. Let's find the first derivative of the given function:
Take the derivative of the function y with respect to x: y' = 4x³ - 16x.
Set the derivative equal to zero to find critical points: 4x³ - 16x = 0.
Factor out the common term (4x): 4x(x² - 4) = 4x(x + 2)(x - 2) = 0.
Solve for x to find critical points: x = 0, x = -2, and x = 2.
Analyze the sign of y' around these points to determine where the function is increasing and decreasing.
Through analyzing the signs, you will find that the function is increasing on the intervals (-∞, -2), (0, 2), and (2, ∞).
Note that these intervals are determined by looking at the sign changes of the first derivative around the critical points and selecting the intervals where the derivative is positive.
Jessica is going to a vegetable shop. She buys some lady fingers for $23, some potatoes for $30,
and a bag of tomatoes for $16. Now she has $20 left. How much money did she have to begin
with?
Answer:
$89
Step-by-step explanation:
add all the numbers together
10 in.
6 in.
8 in,
7 in.what is the surface area
Final answer:
The surface area of the rectangular prism is 376 square inches.
Explanation:
To find the surface area of an object, we need to calculate the sum of the areas of all its faces. Given the dimensions 10 in., 6 in., 8 in., and 7 in., we can assume that these are the lengths of the sides of a rectangular prism. The formula to find the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism, respectively.
Using the given values, we can substitute 10 in. for l, 6 in. for w, and 8 in. for h to find the surface area:
Surface Area = 2(10 in.)(6 in.) + 2(10 in.)(8 in.) + 2(6 in.)(8 in.)
Surface Area = 120 in² + 160 in² + 96 in²
Surface Area = 376 in²
How to make fraction numbers into decimal
Answer:
Step-by-step explanation: Step
1. Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
2. Multiply both top and bottom by that number.
3. Then write down just the top number, putting the decimal point in the correct spot
Hey there!
Turning fractions into decimals is very easy! You simply divide the numerator by the denominator and then you have your answer.
For example, we have 1/2. If we divide, we get 0.5, which is the decimal form.
I hope this helps!
Write a rule for the nth term of the sequence 2,20,50,92?
Answer:
482
Step-by-step explanation:
Their 2nd difference is 12
[tex]2,20,50,92,...\\ \\ a_1 = 2\\ a_2 = a_1+18=a_1+6\cdot 3 \\ a_3 = a_2+30=a_2+6\cdot 5\\ a_4 = a_3 +42 = a_3+6\cdot 7\\ a_5 =a_4+54 = a_4+6\cdot 9\\...\\a_n = a_{n-1}+6\cdot (2n-1) \\ \\ a_1+a_2+...+a_n = \\ =a_1+a_2+...+a_{n-1}+2+6\cdot \Big(3+5+7+...+(2n-1)\Big)\\ \\ a_n = 2+6\cdot \Big(3+5+7+...+(2n-1)\Big)\\ a_n = 6\cdot \Big(1+3+5+7+...+(2n-1)\Big)-4 \\ a_n = 6\cdot n^2-4 \\ \\ \Rightarrow \boxed{a_n = 6n^2-4}[/tex]
7. What should I expect if you play 36 times
8. How many preferred 2 door cars
DO NOT NEED STEPS
Answer:
7: 9 times 8: 108
Answer:
7. 9 times
8. 108 people
Step-by-step explanation:
7. The probability of winning is 25%
So, if a person plays 36 times, the probability will be:
25% of 36
=> 36 * 25/100
=> 36 * 0.25
=> 9 times
So, option 3 is correct .
8. Total number of people asked are 300
and
The percentage of people who prefer two-door cars are 36%
So, the number of people who prefer two-door car are:
300 * 36/100
=> 300 * 0.36
=> 108 people
So, option 1 is correct ..
find the exact circumference of a circle with the given radius 3 and 1/2 cm
Answer:
Step-by-step explanation:
Radius is half diameter so you have to multiply the radius by 2 to find diameter.
3 1/2 * 2 = 7
Answer:
7π
Step-by-step explanation:
The circumference (C) of a circle is
C = 2πr = 2π × [tex]\frac{7}{2}[/tex] = [tex]\frac{14\pi }{2}[/tex] = 7π
PLEASE HELP & SHOW WORK , ITS URGENT
it’s appreciated <3 !!
see if u understand the answer
Answer:
C
Step-by-step explanation:
The circumference (C) of a circle is calculated using
C= 2πr ← r is the radius and has to be found
Given C = 20π , then
2πr = 20π ( divide both sides by 2π )
r = [tex]\frac{20\pi }{2\pi }[/tex] = 10
The area (A) of a circle is calculated using the formula
A = πr² = π × 10² = 100π m² → C
My paychecks gross pay came to 663.87 for the week. If 20% is taken out for taxes how much is my net pay
Answer:
Final Price: 531.10
Discount: 132.77
Step-by-step explanation:
663.87 is 100%
? is 20%
?=20•663.87/100~$132.77 taxes
Net pay= 663.87-132.77=$531.1
A pair of sneakers cost $75. This is $15 less than the cost of a pair of jeans. Write an equation that someone could use to find the amount of money that the jeans cost.
15+75=J.
So the jeans should be $90
Answer-
add 15 from 75 then that is it
75+15=90
Find the range of y = 3cos4x - 2.
-5 ≤ y ≤ 5
-5 ≤ y ≤ 1
-3 ≤ y ≤ 3
1 ≤ y ≤ 3
ANSWER
[tex]- 5\leqslant y \leqslant 1[/tex]
EXPLANATION
The given cosine function is:
[tex]y = 3 \cos4x - 2[/tex]
The amplitude of this function is:
3
This means the parent function has range:
[tex] - 3 \leqslant y \leqslant 3[/tex]
The given function has been shifted down by 2 units.
So we add -2 to the peak values to get
[tex] - 2 + - 3 \leqslant y \leqslant 3 + - 2[/tex]
The given function has range:
[tex]- 5\leqslant y \leqslant 1[/tex]
Answer:
-5 ≤ y ≤ 1
Step-by-step explanation:
correct
7. length of a soccer field
is it meters or kilometers
Answer:
The answer would be Meters.
Step-by-step explanation:
The length of the soccer field is measured in Meters.
There are units to measure everything. Like length is measured in units of millimeter, centimeter, meter, kilometer etc, weight is measured in milligram, gram, kilogram, etc, height is measured in inches, feet, etc.
A soccer field is the ground on which soccer is played. This field is measured in meters. The soccer field has different dimensions. There are standard touch lines, goal lines. Touch lines and goal lines dimensions are different for international play. These lines or dimensions are measured in meters.