Step-by-step explanation:
−5x2−5x+30
=5(−x+2)(x+3)
Answer:
5(−x+2)(x+3)
Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph.What is the probability that one girl and two boys will be chosen
Answer:
18/125
Step-by-step explanation:
4 add 6 is 10
4/10 chance for a girl
6/10 chance for a boy
2 boys and a girl is 4/10, 6/10, 6/10
4/10 multiplied by 6/10 multiplied by 6/10 is:
144/1000
This can be simplified to 72/500
This can be simplified to 36/250
This can be simplified to 18/125
One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once. What is the sample space of outcomes
The total number of outcomes will be 6. Then the sample space will be {(3,R), (3,S), (3,T), (5,R), (5,S), (5,T)}
What are Sets?Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.
One spinner has three equally sized sectors labeled R, S, and T.
A second spinner has two equally sized sectors labeled 3 and 5.
Then the total number of the event will be
Total event = 3 × 2
Total event = 6
Then the sample space will be
[tex]\rm Sample = \left\{\begin{matrix}3,R & 3,S & 3,T \\\\5,R & 5,S & 5,T \\\end{matrix}\right.[/tex]
More about the sample link is given below.
https://brainly.com/question/350477
#SPJ1
A ladder reaches 2 m up a wall. the foot of the ladder is 0.4 m from the wall. for safety reasons, the slope should be between 6.3 and 9.5. is this ladder within the safe range?
Answer:
No, the ladder is not within the safe range because the slope is 5.
Step-by-step explanation:
To solve, find the slope of the ladder using the slope formula and check if the slope is between 6.3 and 9.5.
What is slope?
Slope is how steep a line is. In this case, the line is the ladder. If the ladder is too steep, them it is not safe.
How do we calculate slope?You can calculate slope using the following formula:
[tex]slope = \frac{rise}{run}[/tex]
Rise means how faraway vertically, or how high up the ladder is.
Run means the how faraway horizontally, or from the wall the ladder is.
Slope of the ladderLet's calculate slope using the formula.
[tex]\displaystyle {slope=\frac{rise}{run}}[/tex]
[tex]\displaystyle {slope=\frac{2\ m}{0.4\ m}}[/tex] Substitute the values, 2m for rise, 0.4m for run.
[tex]\displaystyle {slope=5}[/tex] Final answer
Is the ladder safe?The question tells us that a safe ladder has a slope of 6.3 to 9.5. The slope, 5, is not between that range. Therefore, the ladder is not safe.
There are 12 players on a baseball team. In how many different ways can the coach choose players for left field, right field,and center field?
A) 36
B) 220
C) 1320
D) 1728
Explanation:
There are 12 choices for left field.
Then there are 12-1 = 11 choices for right field.
Lastly, there are 11-1 = 10 choices for center field.
In total we have 12*11*10 = 1320 different permutations or orderings.
A point of sale transaction occurs when a debit card is used to purchase items at a grocery store. please select the best answer from the choices provided. t f
It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."
What is a debit card?
A debit card is a small card that contains a chip which a bank issues to its customers to enable them to perform cashless transactions outside the banking hall.
It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."
Learn more about debit card:https://brainly.com/question/27350251
#SPJ4
Answer: It is a true statement.
A transaction is an agreement between a buyer and a seller to exchange goods, services or financial instruments.
--------------------------------------------
Have a great day and God bless! :)
what does x equal when 6600/80 = x
Answer: 82.5
Step-by-step explanation: 6600 divided by 80 is 82.5
Answer:
82.5
Step-by-step explanation:
Which expression is equivalent to 28x + 14?
Answer:
Option B. 14(2x + 1)
Let's solve:
[tex]28x + 14=14(2x+1)=14*2x + 14*1=28x +14[/tex]
/\ /\
| |
Based on the Distributive Property of Multiplication
⇒ a number that is multiplied by the sum of two numbers, that
the number can be multiplied by both of those numbers and
then added together to get the answer
(See image attached below)
Answer: (B), 14(2x + 1)
Hope that helps!
Elijah is 2 years less than twice Michael's age. If Elijah is 18, how old is Michael?
Write the equation of the circle in general form. Show all your work.
Answer:
(x + 3)^2 + (y - 2)^2 = 25
Step-by-step explanation:
Looking at the circle we can see the origin and the radius from the origin to the edge of the circle.
radius = 5
Origin of the circle (h,k) = (-3,2)
Equation of a circle: (x - h)^2 + (y - k)^2 =r^2
Plug in our (h,k) and radius into the equation.
(x - (-3))^2 + (y - (2))^2 = 5^2
(x + 3)^2 + (y - 2)^2 = 25
Solve the system of equations.
[tex]\left \{ {{y=220x-160} \atop {y=20x-400}} \right. \\[/tex]
[tex]\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}[/tex]
[tex]\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill[/tex]
PLEASE HELP ME ASAP
A radio station has a broadcast area in the shape of a circle with equation x2+ y2=5,625, where the constant represents square miles.
a. Find the intercepts of the graph
Answer:
(0, 75), (75, 0), (-75, 0), (0, -75)
Step-by-step explanation:
I used desmos graphing calculator. c:
Three less than the quotient of a number and 4 is 18. What is the number? Let n be the unknown number.
Answer:
n = 84
Step-by-step explanation:
18 + 3 = 21, so that means the quotient of the number and 4 is 21.
21 * 4 = 84
CHECK:
84 / 4 = 21
21 - 3 = 18
Find the range and interquartile range of the data.
2, 4, 8 , 3, 2
Answer:
IQR = 4
Step-by-step explanation:
Q3 = 6
Q1= 2
6-2=4
Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.
Result of spin
Result of coin toss Red Green Yellow Blue
Heads Red, heads Green, heads Yellow, heads Blue, heads
Tails Red, tails Green, tails Yellow, tails Blue tails
What is the probability that the result of the spin is blue and the coin lands heads up?
two over eight
three over eight
one over eight
four over eight
Answer:
[tex]\sf \dfrac{1}{8}[/tex]
Step-by-step explanation:
Spinner choices: Red, Green, Yellow, Blue
Coin choices: Heads, Tails
[tex]\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}[/tex]
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(blue)=\dfrac{1}{4}[/tex]
[tex]\implies \sf P(heads)=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}[/tex]
What is the inverse of the function f(x) = 4x 8? h(x) = one-quarterx – 2 h(x) = one-quarterx 2 h(x) = one-halfx – 2 h(x) = one-halfx 2
Answer:
423 v- 69ferr
Step-by-step explanation:
The ice cream stand offers chocolate, vanilla, and strawberry ice cream. Find the approximate probability the next three customers order vanilla, chocolate, and then strawberry.
Answer: 1/3 im not sure tho
Step-by-step explanation:
A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 1010 gallons, and pool B held 2 x 108 gallons. How many times more gallons will the larger pool hold than the smaller pool?
4
20
100
200
Answer:
20
Step-by-step explanation:
______ is the cost for the use of money.
Answer:
do you have a pic?
Step-by-step explanation:
Help with this volume problem? (please include how you got the answer) will give brainlyest
Answer:
35.28 m
Step-by-step explanation:
Formula for volume of pyramid:
[tex]V=b^2\frac{h}{3}[/tex]
Therefore since,
base - 4.2 m
height - 6 m
Then,
[tex]V=4.2^2\frac{6}{3}[/tex]
[tex]V=35.28m[/tex]
Kavinsky
A company has three sales departments (local, regional, and national) at each of several locations across the United
States. Each local sales department has 120 employees. The company wants to survey its employees to determine
the most effective sales method.
Which sample should the company use to arrive at the most reliable conclusion?
Answer:
Each local sales department has 120 employees. The company wants to survey its employees to determine the most effective sales method.
Step-by-step explanation:
Answer:
they should used a random sample including the staff members
Step-by-step explanation:
Triangle ABC is transformed. Select all the
transformations that would create a shape that is
congruent to ABC.
1. Reflection across the y axis
2.Dilation by scale factor of 1
3. Rotation 90 degrees clockwise
4. Translation 4 units to the right
Answer: All four answer choices would create congruent shapes.
===================================================
Explanation:
Reflections, rotations, and translations are considered rigid transformations. What this means is that they keep the same shape, but the shape has been moved in some fashion. As such, the "before" (preimage) and "after" (image) are congruent figures.
Imagine you drew a triangle on a clear piece of glass. If you took a picture of it from one side, then took another picture from the opposite side, then you'd get reflected versions of the triangle. Notice how the triangle has not moved at all. The camera has. Therefore, this proves that reflections keep the same exact shape. The only thing different is the orientation has swapped.
Now imagine you drew a triangle etched in stone. Grab your camera to take a picture of it. Then rotate the camera to get another picture. The two triangles are rotated copies of each other. They're the same exact triangle since the figure etched in stone hasn't changed. Only the camera has. This thought exercise proves rotations are a rigid transformation, aka an isometry.
Lastly, we'll go back to the triangle etched in stone to work with translations. A translation is any shifting. Take a picture of the triangle etched in stone. Then move the camera around to pan to another location (panning is when you keep your aim at the subject but move side to side, or up and down). Imagine the camera is stuck on a train track and can only aim one direction. The camera will take two pictures of the same triangle, of course the only difference is that they have shifted in the frame. Therefore, translations are the third final type of rigid transformation.
-----------------
Dilations are not rigid transformations, but only if the scale factor was something else than 1.
If the scale factor is less than 1, then the image shrinks.
If the scale factor is greater than 1, then the image enlarges.
If the scale factor is exactly 1, then the image doesn't change at all. This is because we multiplied all sides by 1. Multiplying by 1 doesn't change the number.
So because choice (2) mentions the scale factor is 1, this places it in the "rigid transformation" category and it's one of the four answers. Change the scale factor to anything else, and it wouldn't be an answer.
pls help me classify each of this?!
First image -Right triangle(One angle is 90 degrees)
Second image-Isosceles triangle(Two equal sides and two equal angles).
Genevieve is in charge of creating a five-digit code to lock and unlock a secure cabinet. she can use any digit from 0 through 9, and she can use each digit as many times as she wants. she knows she wants to start the code with a prime number. how many possible codes that start with a prime number could genevieve create? 40,000 codes 50,000 codes 400,000 codes 500,000 codes
The number of digits is an illustration of combination, and there are 40,000 possible codes that start with a prime number that Genevieve could create
How to determine the number of digits?The given parameters are:
Length = 5
First digit = Prime number (2, 3, 5, and 7)
This means that the first digit can be any of the 4 prime numbers, while the other four digits can be any of the 10 digits 0 - 9
So, the number of codes is
Code = 4 * 10 * 10 * 10 * 10
Evaluate
Codes = 40,000
Hence, there are 40,000 possible codes that start with a prime number that Genevieve could create
Read more about combination at:
https://brainly.com/question/11732255
#SPJ1
Answer:
40,000
Step-by-step explanation:
i did the k12 test ;)
Laura's yard is in the shape of a square and a half-circle. 12 m What is the approximate area of Laura's yard? A 57 m2 B 144 m2 C 201 m2 D 257 m2
Answer:
B 144
Step-by-step explanation:
In the diagram, quadrilateral EFGH is similar to quadrilateral PQRS. Using the graph, determine the coordinates of H. DRAG & DROP THE ANSWER
Answer:
(12,15)
Step-by-step explanation:
This is assuming you haven't answered already... Mr Cooper helped me find it
Use the function f(x) to answer the questions:
f(x) = 4x2 + 8x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Step-by-step explanation:
let's start with B :
the best way to find the vertex is by transforming the function into the vertex form :
y = a(x - h)² + k
with (h, k) being the vertex.
when doing all the multiplications, we get
y = a(x²-2hx+h²) + k = ax² - 2ahx + ah² + k
let's compare with the irreducible function
ax² = 4x²
a = 4
-2ahx = 8x
-2×4hx = 8x
-8hx = 8x
-8h = 8
-h = 1
h = -1
ah² + k = -5
4×(-1)² + k = -5
4 + k = -5
k = -9
so, the vertex form is
y = 4(x + 1)² - 9
the vertex is (-1, -9)
if the factor of the (x-h)² term is greater than 0, then the parabola opens upward, and if it is less than zero, the parabola opens downward.
out factor is +4, so it opens upward, and the vertex is a minimum.
A
now we know
y = 4(x + 1)² - 9
for the x-intercepts we need to find the x-values that lead to 0 y values.
so,
0 = 4(x + 1)² - 9
9 = 4(x + 1)²
3 = ± 2(x + 1) = ± (2x + 2)
for +(2x + 2) is then
3 = 2x + 2
2x = 1
x = 1/2
for -(2x + 2) is then
3 = -2x - 2
5 = -2x
x = -5/2
so, the x-intercepts are
(-5/2, 0) and (1/2, 0).
C
I know it is a parabola.
i know 3 points : the vertex and the 2 x-interceot points. i could then also calculate the points for x = 0, 1, -1, 2, -2.
and then draw the graph with a curve ruler connecting the points.
Find the sum of the first 9 terms
of the geometric sequence: 0.5, 1, 2,-..
Answer:
S₉ = 255.5
Step-by-step explanation:
the sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 0.5 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1}{0.5}[/tex] = 2 , then
S₉ = [tex]\frac{0.5(2^{9}-1) }{2-1}[/tex]
= [tex]\frac{0.5(512-1)}{1}[/tex]
= 0.5(511)
= 255.5
what’s the area and the perimeter and of the triangle?
Answer:
16.5
Step-by-step explanation:
7.5 x 2.2. formula of triangle = bh
Eric surveys students at his school and finds that 80% have a pet. He wants to estimate the probability that, if he randomly selected 4 students, more than 2 would have a pet.
To estimate this probability, he lets the numbers 1, 2, 3, and 4 represent a student who has a pet and 5 represent a student who does not have a pet. He then has a computer randomly select 4 numbers and repeats this 20 times.
The results of these trials are shown in this list.
5533, 2245, 1555, 3341, 4252,5335, 5321, 4155, 2131, 3414,1532, 4251, 2523, 3311, 2352,2332, 5451, 3344, 1121, 5243
Based on this simulation, what is the estimated probability that more than 2 of 4 randomly selected students would have a pet?
Enter your answer, as a decimal, in the box.
==========================================================
Explanation:
You'll look at each four digit group separately.
Since we want more than 2 people having a pet, this means the group of four must have 3 pet owners or all 4 are pet owners.
The digit 5 represents "no pet". If we see it show up twice or more, then we must cross the group off the list. Something like 5533 has the first two people that don't own pets, while the last two people do own pets. In this case, we don't have a "more than 2 pet owners" situation happening. So we must cross it off the list.
Here is the list of groups to cross off
55331555533541555451There are five such groups we have eliminated. That leaves 20-5 = 15 groups where there are more than 2 pet owners.
We have 15 groups we want out of 20 total. It leads to the probability of 15/20 = 0.75
Answer:
0.75
Step-by-step explanation:
I took the quiz :)
Which angle in this quadrilateral is an obtuse angle?
Angle J
Angle K
Angle L
Angle M
Answer:
Angle L
Step-by-step explanation:
An obtuse angle has a measure between 90° and 180°.
Angles J and K are right angles, so their measures are equal and are 90°. Angle M has measure 64° and is acute.
Only angle L, which measures 116°, has a measure between 90° and 180° and is an obtuse angle.
Answer: Angle L