Answer:
0.003*10=0.03
0.3*10=3
30x10=300
300x10=3000
Step-by-step explanation:
Multiply each by 10
Answer:
0.03 , 3, 300, 3,000
Step-by-step explanation:
every time you multiply a decimal by 10 you move the decimal to the right once , on a whole number you just add another zero
Tell whether the ordered pair (−1, 4) is a solution of the system.
-2x-3y=-10
-3x+y=7
True or False
Answer:
True because when you substitute the x coordinate to find the value of y =4 and the coordinate is 4
Answer:
True
Step-by-step explanation:
[tex]\left \{ {{-2x-3y=-10} \atop {-3x+y=7}} \right.[/tex]
Rearrange like terms to the same side of the equation:
[tex]\left \{ {{-2x-3y=-10} \atop {y=7+3x}} \right.[/tex]
Substitute into one of the equations:
[tex]-2x-3(7+3x)=-10[/tex]
Apply the Distributive Property:
[tex]-2x-21-9x=-10[/tex]
Combine like terms:
[tex]-11x-21=-10[/tex]
Rearrange variables to the left side of the equation:
[tex]-11x=-10+21[/tex]
Calculate the sum or difference:
[tex]-11x=11[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]x=-\frac{11}{11}[/tex]
Cross out the common factor:
[tex]x=-1[/tex]
Substitute into one of the equations:
[tex]y=7+3[/tex] × [tex](-1)[/tex]
Calculate:
[tex]y=4[/tex]
The solution of the system is:
[tex]\left \{ {{x=-1} \atop {y=4}} \right.[/tex]
Express solutions in ordered pairs:
[tex](-1,4)[/tex]
Determine whether [tex](-1,4)[/tex] and [tex](-1,4)[/tex] are equivalent:
True
write 7 7/8 as a improper fracton
Answer:
63/8
Step-by-step explanation:
(7x8) + 7 = 63
keep the same dinominator
Answer: it would be 63/8 as an improper fraction
Step-by-step explanation:
Allison is saving money to buy a new phone that costs $600 by selling her graphic designs. She is using an app to manage her sales, but it keeps a fraction of each sale. Her net pay is modeled by the function P(x) = x2 + 18x – 160, where x represents the number of sales. How many sales does Allison to make to earn $600?
9 sales
20 sales
38 sales
841 sales
Answer:
20 sales.
Step-by-step explanation:
p(x) = x² + 18x – 160
Here p(x) represents the net pay.
Given that p(x), net pay is $600
x² + 18x – 160 = 600
x² + 18x – 160 - 600 = 0
x² + 18x – 760 = 0
x² +38x - 20x - 760 = 0
x(x+38) - 20(x+38) = 0
(x-20)(x+38) = 0
x = -38, 20
x = 20
Therefore, she makes 20 sales in order to make $600.
Answer: 20 sales.
Proof of validity is shown below.
A soccer team is playing in a tournament this weekend. The possible outcomes of a game
are win or lose. In the event of a tie at the end of regulation, the teams will play overtime
until one team is declared the winner. Assume the outcomes of winning or losing a game
are equally likely. The events of winning or losing a game are independent of winning or
losing the next game. The team will play up to 3 games in the tournament. Once a team loses they are out of the tournament and will not play any further games.
a) List all the possible outcomes for the team's game results in the tournament.
b) What is the probability that the team will win all three games?
c) What is the probability that the team will win at least one game?
Answer:
a)list all the possible outcomes for teams game results in the tournament
An automotive service center would ke feedback on its customer service.
after they pay for services with a short survey on which customer service is ranked on a scale from 1 (least
satisfied) to 5 (most satisfied) Customers can then choose to submit the card in a box on their way out of the
store. The store manager finds that 140 cards were filled out in the past week, with an average customer
satisfaction score of 2.47. Which type of bias is most likely to be present in the survey results?
O This is undercoverage bias because some types of customers may not have received cards.
This is nonresponse bias because many customers may choose to not fill out the cards
O This is question wording bias because the customer service score levels may not be clear to customers.
O This is response bias because customers may not be truthful about their experience with customer service.
"This is nonresponse bias because many customers may choose to not fill out the cards"
Not everyone will chose to leave a review when leaving the store, and those that do were probably in some way inconvenienced, and felt inclined to leave one, while the others left and went about their day.
A manufacturer of technological devices has the capacity of producing two different devices (device A and B). There are three phases in the production for these two devices, the first is the construction of the components for the devices, the second is the assembly of the units, and the third is the final finish of the devices before they are packed up and shipped to the customer For each unit of device A it takes 18 hours to create the components, 2 hours to assemble the device, and 1 hours for finishing for a profit of \$1,100 . For each unit of device B it takes 36 hours to create the components, 6 hours to assemble the device, and 1 hours for finishing for a profit of \$2,200 . Each day there are 2100 hours available for the construction of the components, 300 hours available for the assembly of the devices, and 100 hours available for the finishing of the devices. Find the number of devices of A and B that they should create each day to maximize profit. Show all the necessary steps needed to solve this problem . You may use your calculator's graphing functions to help solve this problem . You may NOT use Excel for this exercise . Your final answer should be in the form of a sentence ; place a box around it. Organization and neatness counts! (40 points)
I can't understand mb !!
if f(x)=3x-9 and g(x)=-x^2, then g(f(2))=
Answer:
g(f(2)) = -9
Step-by-step explanation:
You work from the inside out...
To find g(f(2)), you must first find f(2). f(2) = 3(2) - 9 = 6 - 9 = -3.
Now find g(-3). g(-3) = -(-3)^2 = -9.
Tell weather -5 is a solution of y + 8 > 3.
Answer:
-5 is your answer.
Step-by-step explanation:
[tex]=y+8>3\\\\=y+8-8>3-8\\\\[/tex] [Subtracting 8 in both sides]
[tex]=y>-5[/tex]
Find the area of following figures
Answer:
43.16cm
Step-by-step explanation:
(1.2 x 3.6)/2=2.16
3.6 x 1=3.6
2.2 x 1=2.2
8 x 2=16
8 x 2.4=19.2
HELP PLEASE In this polygon, all angles are right angles. What is the area of this polygon? Enter your answer in the box. ft² Polygon in the shape of a letter L, which could be formed by a horizontal rectangle attached along the bottom part of a vertical rectangle. The left side '
of the figure is 18 ft, the bottom side of the figure is 21 ft, the right side of the figure is 8 ft, and the top part of the horizontal rectangle to the right of the vertical rectangle is 12 ft. HURRY I HAVE 5 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
258 ft²
Step-by-step explanation:
This shape is represented as a rectangle with dimensions of 18ft by 21 ft and a portion of it that has been cut out.
Let's find the area of the original rectangle:
18ft x 21ft378 ft²Now let's find the area of the part cut out:
12 ft x (18ft - 8ft)12 ft x 10ft120 ft²Subtract the part cut out from the original rectangle:
378 ft² - 120ft²258 ft²-Chetan K
Help please! I don’t have many points!
Answer:
110°
Step-by-step explanation:
Angles don't change if both are same shape (gradient)
THIS IS DUE IN 5 MINUTES I WILL GIVE BRAINLIST ASAP! The table below shows the cost of downloading songs from a website.
Number of songs 6 the total cost of it is 3.78 If c represents the total cost in dollars and cents for any number of songs downloaded, s, write a proportional equation for c in terms of s that matches the context.
Answer:
c = 0.63(s)
Step-by-step explanation:
brainliest please<3
What is the length of JK
Answer:
jk = 4
Step-by-step explanation:
it starts at -2x and then goes to 2 x so the equation is
so it's |2| +2 =jk
A brownie recipe ask for four and two thirds times as much sugar as chocolate chips. If three and one half cups of sugar is used, what quality of chocolate chips would then be needed according to the recipe
Answer:1 cup of chocolate chips for every 1and 3/4 cup of flour
so divide 4 and 2/3 x 1 and 3/4
turn them both into fractions
4 2/3 = 14/3
1 3/4 = 7/4
14/3 / 7/4 = 14/3 x 4/7 = 56/21 = 2 and 2/3 cups of chocolate chips are needed
Step-by-step explanation:
2. Consider the equation 3x2 - 13x - 30 = 0.
(a) Write the factored form of the trinomial.
Answer:
(3x + 5)(x - 6) = 0 (Assuming 3x is to the power of two 3x^2)
Step-by-step explanation:
Factor out -13 from -13x
3x^2 - 13(x) - 30 = 0
Rewrite -13 as 5 plus -18
3x^2 + (5 - 18)x - 30 = 0
Apply the distributive property
3x^2 + 5x - 18x - 30 = 0
Now factor out the GCF (Greatest common factor)
To do so we will group the first two terms and last two.
(3x^2 + 5x) - 18x - 30 = 0
Then factor out the GCF from each group.
x(3x + 5) - 6(3x + 5) = 0
(3x + 5)(x - 6) = 0
Answer:
-5/3 , 6
Step-by-step explanation:
Quadratic Formula is
x = -b ± √(b^2 − 4ac))/(2a)
replace the letters with the values from the equation, and plug it in.
x = -(-13) ± √((-13)^2 − 4*3(-30))/(2(3))
=
x = (13 ± 23) / 6
You may subtract or add the 13 and 23 for a valid answer, thus the two possible values are
-5/3
and
6
Grandma Millie is shrinking! Her height decreases by \dfrac{1}{4} \text{ cm}
4
1
cmstart fraction, 1, divided by, 4, end fraction, start text, space, c, m, end text each year.
What is her total change in height over 333 years?
Answer:
83.25 cm
Step-by-step explanation:
1/4(x) cm
x= time
1/4(333)
or 333/4
her height changes
83.25 cm
Use [tex]\sqrt{x}[/tex] Solve for x
Check the picture below.
and if you check your Unit Circle, you'd notice that those angles have an specific value.
[tex]\cfrac{15}{sin(60^o)}~~ = ~~\cfrac{x}{sin(45^o)}\implies \cfrac{15}{~~ \frac{\sqrt{3}}{2}~~}~~ = ~~\cfrac{x}{~~ \frac{\sqrt{2}}{2}~~}\implies \cfrac{15}{1}\cdot \cfrac{2}{\sqrt{3}}~~ = ~~\cfrac{x}{1}\cdot \cfrac{2}{\sqrt{2}}[/tex]
[tex]\cfrac{30}{\sqrt{3}}=\cfrac{2x}{\sqrt{2}}\implies \cfrac{30\sqrt{2}}{\sqrt{3}}=2x\implies \cfrac{30\sqrt{2}}{2\sqrt{3}}=x\implies \cfrac{15\sqrt{2}}{\sqrt{3}}=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{15\sqrt{2}}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{15\sqrt{6}}{3}}\implies \boxed{5\sqrt{6}=x}[/tex]
Can someone please help me find the answer to this question?
Answer:
pretty sure its d :)
Step-by-step explanation:
Answer: D
Step-by-step explanation:
To solve for the inverse of an equation, the first step is to rewrite f(x) as y.
This should leave you with the equation y=[tex]\frac{3x}{5}[/tex]+3
Then switch y and x, which should leave you with x=[tex]\frac{3y}{5}[/tex]+3
Lastly, solve for y.
subtract 3 from both sidesmultiply both side by 5 divide both sides by 3This should give you the final answer of D or y=[tex]\frac{5(x-3)}{3}[/tex]
The picture below gives a step-by-step picture.
Which ratio represents Cos A?
31. You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?
• $32,000/year
© $18.50/hour
• $30,000/year with a 5% bonus
) $17.50/hour and a $1,500 bonus at the end of the year
Answer:
Option BStep-by-step explanation:
Calculate and compare:
A) $32000B) $18.5*35*52 = $33670C) $30000 + 5% = $30000 + $1500 = $31500D) $17.5*35*52 + $1500 = $33350Use the long division method to find the result when 2x3 + 4x2 + 7x + 5 is
divided by x + 1.
Answer:
19+7x^2
Step-by-step explanation:
2x3=6
4x2=8
7x
6+8+5=19
19+7x / x+1
19+7x^2
Answer:
shown in the picture
Step-by-step explanation:
2x² + 2x + 5
i need help with math
Answer:
answer is y=-2x
Step-by-step explanation:
-2x because every time the dot decreases
Given the N values in a series, the geometric mean is
A. The third root of the product of N values.
B. The square root of the product of N values
C. The fourth root of the product of N values
D. The Nth root of the product of N values
Answer:
1,870
Step-by-step explanation:
y = -2x + 6 ordered pairs
Answer:
there will be many points ,such as (0,6) ,( 3,0) , (1,4) etc
Step-by-step explanation:
your question is unclear, but i think it may be the pairs which follow the equation,
for this put x= 1,2,3,4..... then y=4,2,0,-2,.....
BC=B, C, equals
Round your answer to the nearest hundredth.
Answer:
...
Step-by-step explanation:
WHat THE hAIL I DONT EVEN KNO WHAT UR ASKING MY BOY
Solve the equation.
-5/7 ● -21/55
Step-by-step explanation:
Multiply:
[tex] \frac{ - 5}{7} \times \frac{ - 21}{55} = \frac{105}{385} [/tex]
Divide each side by 35:
[tex] \frac{105 \div 35}{385 \div 35} = \frac{3}{11} [/tex]
Your simplified product is 3/11.
Find the formula for an exponential function that passes through the two points given.
(x, y) = (0,5) and (x, y) = (3, 40)
Answer:
Y =5×2^x.
Step-by-step explanation:
All the points given satisfy the Exponential function Y
Therefore insert all points into the general form of exponential function as Y =ab^x.
Find a and b where a will be 5 and b will b 2.
Insert and verify
Given y = f(x) and y = g(x), explain the transformations from f(x) to g(x).
shift right then stretch vertically
stretch horizontally then shift down
stretch vertically then shift left
shift up then stretch horizontally
Answer:
shift right then stretch vertically
Step-by-step explanation:
A
The transformations from f(x) to g(x) is shift right then stretch vertically. Hence. option A is the correct answer.
It is Given y = f(x) and y = g(x), we need to explain the transformations from f(x) to g(x).
How does transformation of a function happens?The transformation of a function may involve any change.
These can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
Right shift by c units:
y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k f(x)
Horizontal stretch by a factor k: y = [tex]f\left(\dfrac{x}{k}\right)[/tex]
Here, the transformations from f(x) to g(x);
We can conclude that the transformations from f(x) to g(x) is shift right then stretch vertically.
Hence. option A is the correct answer.
Learn more about transforming functions here:
https://brainly.com/question/17006186
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324 ft
Flagpole
shadow
40 ft
The diagram above shows a 40-foot flagpole and its shadow in relation to a nearby building that is
324 feet tall. If the flagpole's shadow is 50% longer than the flagpole itself, how far is the
building from the flagpole?
The distance between the flagpole and the building is the number of feet between them
The building is 162 feet from the flagpole
How to determine the distanceThe given parameters are:
Flagpole = 40 feetBuilding Shadow = 324 feetThe flagpole's shadow is 50% longer than the flagpole.
So, the length (l) of the flagpole's shadow is:
[tex]l = 40 * (1 + 50\%)[/tex]
[tex]l = 60[/tex]
The length of the building's shadow (d) is then calculated as:
[tex]60 : 40 =d : 324[/tex]
Express as fraction
[tex]\frac{60}{40}= \frac{d}{324}[/tex]
[tex]1.50 = \frac{d}{324}[/tex]
Solve for d
[tex]d = 1.50 * 324[/tex]
[tex]d = 486[/tex]
The distance (x) of the building from the flagpole is then calculated as:
[tex]x = 486 - 324[/tex]
[tex]x = 162[/tex]
Hence, the building is 162 feet from the flagpole
Read more about distance and bearing at:
https://brainly.com/question/11744248
A line crosses the y-axis at (0,4) and has a slope of -2. Find an equation for this line.
A) y = 2x + 4
B) y = -2x + 4
C) y = -2x - 4
D) y = -4x + 2