We have 12 cards, each one with a different number, so the probability of each card being picked is 1/12.
Since all these cards have numbers that are greater than 0, all the 12 cards are correct options to being picked.
Adding the probability of all 12 cards, we have 12/12, that is, 1 or 100%.
So the probability of picking a card with a number greater than 0 is 1 or 100% (that is, every card has a number greater than 0).
How many terms does the following expression have?
5x - 2y +7z-3
Type your answer...
Answer:it has 3 terms
Step-by-step explanation:
11. Drew and Nick are selling two different types of raffle tickets for their math club. One
raffle ticket is for a computer and the other is for a gift card. The tickets are different
prices. Drew sells 8 tickets for the computer and 5 tickets for the gift card and receives
$50. Nick sells 8 tickets for the computer and 11 tickets for the gift card and receives
$62. How much does each type of ticket cost?
EFHNm FG=97m GH=117m EHG= 164GoAngle E:OAngle F:Angle G:Angle H:Blank 1:Blank 2:Blank 3:Blank 4:
Given a cyclic quadrilateral
As shown:
The measure of the arc FG = 97
The measure of the arc GH = 117
The measure of the arc EHG = 164
The measure of the arc is two times the measure of the inscribed angle opposite to the arc.
So, the measure of the angle E = 1/2 the measure of the arc FGH =
[tex]\frac{1}{2}(\text{arc FG + arc GH ) =}\frac{1}{2}(97+117)=\frac{1}{2}\cdot214=107\degree[/tex]The measure of the angle F = 1/2 the measure of the arc EHG =
[tex]\frac{1}{2}\cdot164=82\degree[/tex]For the cyclic quadrilateral, every two opposite angles are supplementary.
So,
[tex]\begin{gathered} m\angle E+m\angle G=180 \\ m\angle G=180-m\angle E=180-107=73\degree \end{gathered}[/tex]And:
[tex]\begin{gathered} m\angle F+m\angle H=180 \\ m\angle H=180-m\angle F=180-82=98\degree \end{gathered}[/tex]So, the answer will be:
[tex]\begin{gathered} \text{Blank}1\colon107\degree \\ \text{Blank}2\colon82\degree \\ \text{Blank}3\colon73\degree \\ \text{Blank}4\colon98\degree \end{gathered}[/tex](4.18 x 10-4)(9 x 10-4)Can you please explain how to do step by step?
Answer:
3.762 x 10^-9
Explanation:
Given the expression:
[tex]\mleft(4.18\times10^{-4}\mright)\mleft(9\times10^{-4}\mright)[/tex]First, we remove the brackets:
[tex]=4.18\times10^{-4}\times9\times10^{-4}[/tex]Next, we bring the powers of 10 together.
[tex]=4.18\times9\times10^{-4}\times10^{-4}[/tex]Next, we combine the powers of 10 by adding the exponents (since they are being multiplied).
[tex]\begin{gathered} =4.18\times9\times10^{-4+(-4)} \\ =37.62\times10^{-8} \end{gathered}[/tex]We then obtain our final result as follows:
[tex]\begin{gathered} =3.762\times10^{-1}\times10^{-8} \\ =3.762\times10^{-9} \end{gathered}[/tex]Hi! I just wanted to double check and make sure that I worked the question correctly
Statement Problem: A boat on the river is 700ft from the base of a dam. The dam is 2460ft above water level. Given that someone standing on the boat stands 5ft above water level, what is the angle of elevation from the individual standing on the boat to the top of the dam? State your answer in radian rounded to 4 decimal places.
Solution:
We would represent the information in a diagram as;
Applying the trigonometry ratio for tangent, we have;
[tex]\tan \theta=\frac{opposite}{adjacent}[/tex]Thus,
[tex]\begin{gathered} \tan \theta=\frac{2460}{700} \\ \theta=\tan ^{-1}(3.5143) \\ \theta=74.1161^o \end{gathered}[/tex]Now, we would convert the angle from degrees to radians. We have;
[tex]\begin{gathered} 74.1161^o\times\frac{\pi}{180}\text{rad} \\ =1.2936rad \end{gathered}[/tex]hello can you help me solve this trigonometry question and in the question use pi to answer it
The area A of a portion of a circle is:
[tex]A=\pi\cdot r^2\cdot\frac{\alpha}{2\pi}[/tex]Where alpha is the angle of the portion of the circle. So, to find the radius, we clear 'r' from the expression above:
[tex]38=\pi\cdot r^2\cdot\frac{1}{2\pi}\cdot\frac{7}{5}\pi[/tex]We can cancel the pi on the left of 'r' with the one on the right (the one that's dividing):
[tex]38=r^2\cdot\frac{7\pi}{2\cdot5}[/tex]So, now we clear 'r':
[tex]\frac{38\cdot2\cdot5}{7\cdot\pi}=r^2[/tex][tex]\sqrt[]{\frac{380}{7\pi}}=r[/tex]So, the answer is:
[tex]r=\sqrt[]{\frac{380}{7\pi}}km[/tex]Suppose the manufacturer multiplied each side of the
original box by 4. What would the new surface area be?
Answer:
original box wasn't given... atleast send original surface area..
Step-by-step explanation:
^^^^^^!!!!!!!!!!^^^^^^
3. (a) Using a pencil, ruler and a pair of compasses, construct a triangle ABC such d that AB = 5.5 cm, LABC = 90° and ZBAC = 60°. (Marks will be given for clearly drawn construction lines) [4] (b) Using the diagram constructed in part (a), measure the length of AC. [1]
To solve this question, follow the steps:
1) Draw the segment AB = 5.5 cm using a ruler.
2) Draw the segment BC knowing that the angle ABC is 90º.
3) Draw the segment AC knowing that the angle BAC is 60º.
4) Connect the segments BC and AC.
5) Measure the length of AC using a ruler.
The triangle can be observed below:
Answer: the length of the segment AC is 11 cm.
(52 + 8)------------30solve then write two different word phrases for the expression
Given the expression :
[tex]\frac{52+8}{30}[/tex]To solve the given expression:
First add the numbers 52 and 8 then divide by 30
so, the result will be as following :
[tex]\frac{52+8}{30}=\frac{60}{30}=\frac{6}{3}=2[/tex]So, the answer is : 2
=========================================================
Also, we need two different word phrases for the expression
The first :
52 increased by 8 then divided by 30
The second :
The Quotient of the sum numbers (52 , 8 ) and 30
Order the values from least to greatest.| -4.3= 4.6= 2.7-35III(1.21
To order the values from least to greatest, we must take into account some important rules, for example.
1.a whole number is greater than a decimal number
2. The greater the decimal number that has more in its integer part.
3.The number placed furthest to the right of the number line is greater. For example +2 is greater than -1. -2 is greater than -3
Now taking into account these rules, we are going to order the numbers given in the exercise from lowest to highest;
-35
-4.3
1.21
2.7
III ;which is equal to 3 integers
4.6
Which equation models the line on the graph?
(-1,4)
(3,2)
O A) y-2= -1/2(x-3)
O B) y + 2 = -1/2 (x+3)
O C) y-2=-2(x-3)
OD) y + 2 = -2(x+3)
Answer:
a i
gussed
Step-by-step explanation:
i have to find the distance form the swings to fountain. help please
The first thing we have to do is locate the points where the swings and the fountain are located on the graph.
[tex]\begin{gathered} Fountain\to(-2,-2) \\ Swings\to(5,-2) \end{gathered}[/tex]To calculate the distance between the 2 points we use the following equation:
[tex]\begin{gathered} D(F,S)=\sqrt[]{(x_2-x_1)^2-(y_1-y_1)^2} \\ \end{gathered}[/tex]We replace the values of the points F and S:
[tex]\begin{gathered} D(F,S)=\sqrt[]{(5_{}-(-2)_{})^2-(-2_{}-(-2)_{})^2} \\ D(F,S)=\sqrt[]{(5_{}+2_{})^2-(-2_{}+2_{})^2} \\ D(F,S)=\sqrt[]{(7_{})^2-(0_{})^2} \\ D(F,S)=\sqrt[]{(7)^2} \\ D(F,S)=7 \end{gathered}[/tex]So the distance between the swings and the fountains is 7Hello, I really need help this is from ALEKS and I forgot how to solve this. What is 2/3 + 1/5?
Answer:
13/15
Step-by-step explanation:
1. Find a common denominator
2. You always multiply the numerator by the same number as the denominator.
3. then add
determine the sine and cosine of 90 degrees
Please help I am stuck with this problem for homework. I am in the 6th grade.
Explanation
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints
it is given by
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]then
Step 1
Let
[tex]\begin{gathered} P2=(4,3) \\ M=(4,7) \\ P1=unknown=(x_1,y_1) \end{gathered}[/tex]replace
[tex]\begin{gathered} (4,7)=(\frac{x_1+4}{2},\frac{y_1+3}{2}) \\ \text{hence} \\ 4=\frac{x_1+4}{2} \\ and \\ 7=\frac{y_1+3}{2} \end{gathered}[/tex]Step 2
now, we have to solve for x1 and y1
a)
[tex]\begin{gathered} 4=\frac{x_1+4}{2} \\ \text{Multiply both sides by 2} \\ 4\cdot2=\frac{x_1+4}{2}\cdot2 \\ 8=x_1+4 \\ \text{subtrac 4 in both sides} \\ 8-4=x_1+4-4 \\ 4=x_1 \end{gathered}[/tex]b)
[tex]\begin{gathered} 7=\frac{y_1+3}{2} \\ \text{Multiply both sides by 2} \\ 7\cdot2=\frac{y_1+3}{2}\cdot2 \\ 14=y_1+3 \\ \text{subtract 3 in both sides} \\ 14-3=y_1+3-3 \\ 11=y_1 \end{gathered}[/tex]therefore, the coordinates of the other end point is
[tex](4,11)[/tex]I hope this helps you
Reviewrship10These figures are similar. The area ofone is given. Find the area of the other.Help ResourcesArea = 100 in.2ㅁ nSkip8 in.10 in.[? ] in.2Enter
SOLUTION:
Step 1:
Since the two figures are similar, it means that they have properties in common.
Step 2:
In the bigger figure, the side given is 10in and its area is 100 square inches meaning (10 in x 10 in).
Step 3:
In the smaller figure, the side given is 8in, and from step 1, we can see that the two figures are similar, so the area of the smaller figure will be (8 in x 8 in) = 64 square inches.
CONCLUSION:
The area of the smaller figure is 8in x 8in = 64 square inches
[tex]8inx8in=64in^2[/tex]There are 17 flute players and 15 Clarinet players in Amy’s Music class, For each class the teacher randomly selects a student to hand out the music by Drawing a name from a jar. What is the probability that a player will be selected to hand out the music for the next class
for this case we have the folloeing information: In a class we have 17 flute players and 15 Clarinet Players for the Amy's Music Class.
The total of students are:
[tex]\text{Total}=17+15=32[/tex]And then if we need to select one player (student) the probability would be given by:
[tex]p=\frac{possible}{total}=\frac{1}{32}[/tex]And the best answer would be A) 1/32
This is one that I have a lot of trouble with!
Given: The function given are
[tex]\begin{gathered} f(x)=4x^3+5x^2-3x-6 \\ g(x)=4x-5 \end{gathered}[/tex]Required: To find the function-
[tex](f-g)(x)[/tex]Explanation: The function can be determined as follows-
[tex](f-g)(x)=f(x)-g(x)[/tex]Putting the values of the function f(x) and g(x)-
[tex]\begin{gathered} (f-g)(x)=(4x^3+5x^2-3x-6)-(4x-5) \\ =4x^3+5x^2-3x-6-4x+5 \\ =4x^3+5x^2-7x-1 \end{gathered}[/tex]Final Answer: Option A is correct.
The area of a triangle is 40
the length is x+4 and the height is x
what is the value of x
Answer:
16
Step-by-step explanation:
Area of a triangle = 1/2(b×h)
b or l = x+4
h = x
a = 40
1/2(x+4 × x) = 40
1/2(x+4 × x) = 40x + 4 × x / 2 = 40
4 × x = 4x
4x + x = 5x
5x/2 = 40
cross-multiply
40 × 2 = 5x
40 × 2 = 5x80 = 5x
divide both sides by 5
5x/5 = 80/5
5x/5 = 80/5x = 16
the image of the point (-9, 9)under a translation is (-5, 13). find the coordinates of the image of the point (-6, "-7)" under the same translation.
The coordinates of the image of the point (-6, -7) after translation is (-20,-3).
What are coordinates?a pair of figures used to specify a point's location on a coordinate plane using the horizontal and vertical separations from the two reference axes. They are typically expressed by the x-value and y-value pair (x,y). Always, the x-coordinate comes before the y-coordinate.
An ordered group of numbers known as coordinates is used to specify a point's location. In the event that the point is on a plane, two numbers are used.
The horizontal and vertical addresses of a point in any two-dimensional (2D) space, such as a sheet of paper or a computer display screen, are called the X and Y coordinates, respectively. These coordinates work as a pair to pinpoint a point's precise location.
A point located at (x,y), translated by (a,b) maps to the point (x+a,y+b).
If we know the location of the point (x,y) and the location of its image (x',y'), we can know the values of (a,b) by subtracting:
(a,b) = (x',y') - (x,y)
We know the coordinates of the point (9,9) and the coordinates of its image (-5,13). Calculate the translation:
(a,b) = (-5,13) - (9,9) = (-14,4)
If the point (-6,-7) is translated under the same conditions, then it will map to the point (-6,-7) + (-14,4) = (-20,-3).
The coordinates of the image are (-20,-3)
To know more about translation, visit:
https://brainly.com/question/17485121
#SPJ1
Hi, can you answer the second question for me (number 4)?
Solution
4.
[tex]\begin{gathered} \frac{cos\theta}{1+sin\theta}+\frac{cos\theta}{1-sin\theta}=\frac{cos\theta(1-sin\theta)+cos\theta(1+sin\theta)}{(1+sin\theta)(1-sin\theta)} \\ \\ \frac{cos\theta}{1+sin\theta}+\frac{cos\theta}{1-sin\theta}=\frac{cos\theta-sin\theta cos\theta+cos\theta+sin\theta cos\theta}{1-sin^2\theta} \\ \\ \frac{cos\theta}{1+sin\theta}+\frac{cos\theta}{1-sin\theta}=\frac{2cos\theta}{cos^2\theta} \\ \\ \frac{cos\theta}{1+sin\theta}+\frac{cos\theta}{1-sin\theta}=\frac{2}{cos\theta} \\ \\ \frac{cos\theta}{1+sin\theta}+\frac{cos\theta}{1-sin\theta}=2sec\theta \end{gathered}[/tex]Marie is a college professor. Her annual salary is 66,000. Calculate her monthly taxes belowGross Monthly Income $_____Monthly Federal Income Tax(18.7%) $____Monthly Social Security (FICA (6.2%) $____Monthly Medicare (1.45%) $____Monthly State Tax (4%) $____Monthly local Tax (0.1%) $____Total Monthly Deductions $____Jamals Net Monthly Income $_____
Given
Her annual salary is 66,000.
Procedure
Gross Monthly Income: $66,000/12=$5,500
Monthly Federal Income Tax(18.7%)= $5,500*0.187=$1028.5
Monthly Social Security (FICA (6.2%) =$5,500*0.062=$341
Monthly Medicare (1.45%) =$5,500*0.0145=$79.75
Monthly State Tax (4%)= $5,500*0.04=$220
Monthly local Tax (0.1%)= $5,500*0.001=$5.5
Total Monthly Deductions= $1028.5+$341+$79.75+$220+$5.5=$1,674.75
Jamals Net Monthly Income= $5,500-$1,674.75=$3,825.25
|2x + 3| < 7?
what’s the solution?
Answer:
Inequality Form: -5<x<2
Interval Notation: (-5,2)
Rectangle ABCD with vertices A(1, 0),
B(7, 2), C(8, -1), and D(2, -3):
(a) Translation: (x, y) → (x-8, y - 3)
(b) Reflection: in the x-axis
The vertices after the transformations is A''(-7, 3), B''(-1, 1), C'' (0, 4), and D'' (-6, 6)
How to determine the vertices after the transformations(a) Translation: (x, y) → (x-8, y - 3)
The vertices of the rectangle are given as
A(1, 0), B(7, 2), C(8, -1), and D(2, -3)
The translation rule is given as
(x, y) → (x-8, y - 3)
When this rule is applied, we have
A'(1 - 8, 0 - 3), B'(7 - 8, 2 - 3), C' (8 - 8, -1 - 3), and D' (2 - 8, -3 - 3)
Evaluate
A'(-7, -3), B'(-1, -1), C' (0, -4), and D' (-6, -6)
(b) Reflection: in the x-axis
This rule can be represented as
(x, y) → (x, -y )
When this rule is applied, we have
A''(-7, 3), B''(-1, 1), C'' (0, 4), and D'' (-6, 6)
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
a car can travel 476 miles on 14 gallons of gas write an equation relating to the distance D to the number of gallons G. how many gallons of gas does this car need to travel 578 MI
step 1
Find the unit rate
divide the total miles by the total gallons of gas
so
476/14=34 miles/gal
Let
y ------> the distance in miles
x -----> the number of gal
we have that
the linear equation is equal to
y=34x
part 2
If y=578 miles
Find the value of x
substitute in the equation
578=34x
solve for x
x=578/34
x=17 gallons
find the circumference and area of the circle round to the nearest whole number
Here, we want to find the circumfrence and area of the circle
To find either of this, we need the value of the radius of the circle
The radius of a circle is the distance btetween the center of the circle and the circumfrence of the circle. In this question, this distance is 20 ft
Mathematically, we can calculate the area with the formula;
[tex]\begin{gathered} A\text{ = }\pi\text{ }\times r^2 \\ A\text{ = }\frac{22}{7}\text{ }\times20^2 \\ \\ A\text{ = }\frac{22\text{ }\times\text{ 400}}{7} \\ \\ A\text{ = 1257.1429} \\ \\ A=1257ft^2\text{ to the nearest whole number} \end{gathered}[/tex]To calculate the circumfrence of the circle, we use the formula below;
[tex]\begin{gathered} C\text{ = 2 }\times\text{ }\pi\text{ }\times\text{ r} \\ \\ C\text{ = 2 }\times\text{ }\frac{22}{7}\text{ }\times\text{ 20} \\ \\ C\text{ = }\frac{880}{7} \\ \\ C\text{ = 125.71} \\ \\ C\text{ = 126 ft to the nearest whole number} \end{gathered}[/tex]which of the following correctly explains why-14 is an acceptable answer to the equation x2=196?(-14x14=19614*14=196(-14)=196142=196
Daley, this is the solution:
We have: x² = 196
√x² = √196
x = +/- 14
Thus,
• 14 * 14 = 196
,• -14 * -14 = 196
,• 14² = 196
,• -14² = 196
Any of these options could be taken to explain why +/- 14 is an acceptable value for x.
Lyle uses a streaming service to watch movies. Last month he paid $26.91 and watched 9 movies. If he watches 11 movies this month, how much will he pay the steaming service?
A. $32.89
B. $26.91
C. $2.99
D. 3.68
Answer:
A. $32.89
Step-by-step explanation:
Take the amount and divide by the number of movies watched
26.91 / 9 =2.99
Now multiply by the new number of movies he wants to watch, 11
2,99 *11
32.89
Answer:
A) $32.89
Step-by-step explanation:
We divided 26.91 by 9 to find how much it is per movie
26.91/9
2.99
It is 2.99 for 1 movie so now we multiply by 11 to find all 11 movies price
2.99x11
$32.89
Hopes this helps please mark brainliest if you would like to learn cross multiply way just let me know
Simplify. Rewrite the expression in the form
[tex] {a}^{n} [/tex]
[tex] {a}^{0} \times {a}^{6} [/tex]
Answer:
[tex]a^{6}[/tex]
Step-by-step explanation:
[tex]a^{0}[/tex] × [tex]a^{6}[/tex] = [tex]a^{0+6}[/tex]
= [tex]a^{6}[/tex]
Select all expressions that are squares of linear expressions.ap2 – 6p + 99x2 – 36x2 + 6x + 36Ex+4)2(2d + 8)(2d - 8)x2 + 36
Part a
p2 – 6p + 9
we know that
p2 – 6p + 9=(p-3)^2
so
the given expression is a square of linear equation
Part b
9x2 – 36=(3x-6)(3x+6)
the given expression is not a square of linear equation
Part c
x2 + 6x + 36
the given expression is not a square of linear equation
Part d
(1/2x+4)^2
he given expression is a square of linear equation