The expressions are equivalent.
[tex] \sqrt{ \frac{2x}{9} } = \frac{ \sqrt{2x} }{ \sqrt{9} } = \frac{ \sqrt{2x} }{3} = \frac{1}{3} \sqrt{2x} \\ [/tex]
Olivia grows onions. She has 9 onions in each row of her garden. Her garden has 5 rows. Today she harvested 7 onions. How many onions are left growing in her garden?
Write these numbers in standard form:
A. 400
B. 6000
C. 2000000
D. 0.4
= 4 × 10^2
B. 6000= 6 × 10^3
C. 2000000= 2 × 10^6
D. 0.4= 4 × 10^-1
( to find the standard form just count the zeros. )
a)= 4×10^2
b)= 6×10^3
c)= 2×10^6
d)= 4×10^-1
hope this helps
5(x + y) what is tje anser
Use the distributive property:
5(x + y) becomes 5x + 5y
with the information provided in the question that is as much as can be done.
answer: 5x + 5y
A volleyball player hits a ball from a height of 6 feet with an initial vertical velocity of 16 feet per second. What is the maximum height of the volleyball? Assuming it is not hit by another player, when will the volleyball hit the ground? Round the answers to two decimal places if necessary.
The maximum height of the volleyball is ___
feet.
The volleyball will hit the ground after ___
seconds.
Considering a quadratic equation, it is found that:
The maximum height of the volleyball is of 19.06 feet.The volleyball will hit the ground after 3.6 seconds.What is the quadratic equation for an object's height?Considering the height in feet, it is given by:
h(t) = -4.9t² + v(0)t + h(0)
In which:
v(0) is the initial velocity.h(0) is the initial height.In this problem, we have that h(0) = 6, v(0) = 16, hence the equation is given by:
h(t) = -4.9t² + 16t + 6
Which is a quadratic equation with coefficients a = -4.9, b = 16, c = 6. Hence the maximum height is found as follows:
[tex]\Delta = b^2 - 4ac = 16^2 - 4(-4.9)(6) = 373.6[/tex]
[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{373.6}{-4(4.9)} = 19.06[/tex]
The maximum height of the volleyball is of 19.06 feet.
It hits the ground at the roots, hence:
The solutions are:
[tex]x_1 = \frac{-16 + \sqrt{373.6}}{-9.8} = -0.34[/tex]
[tex]x_2 = \frac{-16 - \sqrt{373.6}}{-9.8} = 3.6[/tex]
Time is a positive measure, hence:
The volleyball will hit the ground after 3.6 seconds.
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I need help with my math problem pls
Ralph’s annual expenses for the upcoming year are summarized in the chart below. based on the information in the graph, approximately what percent of his total annual income is ralph having withheld for taxes? a circle graph titled ralph's annual budget. federal taxes, 18,380 dollars; state taxes, 3,448 dollars; housing and household, 15,000 dollars; food, 4,880 dollars; medical care, 6,642 dollars; transportation, 4332 dollars; recreation, 3,500 dollars; clothing, 3,260 dollars; other, 1750 dollars. a. 6% b. 18% c. 30% d. 36%
The percentage of the annual budget withheld for taxes is 36%.
What is tax?
A compulsory contribution to state revenue, levied by the government on workers' income and business profits or added to the cost of some goods, services, and transactions.
The total budget of Ralph
The total budget of Ralph is calculated as follows;
T = 1,750 + 3,260 + 3,500 + 4,332 + 6,652 + 4,880 + 15,000 + 3,448 + 18,380
T = $61,202
Total tax on Ralph's annual budget
Tax = 3,448 + 18,380
Tax = $21,828
The percentage of the annual budget withheld for taxes is calculated as follows;
[tex]=\dfrac{Tax}{Total\ Budget}\times 100[/tex]
[tex]=\dfrac{21.82}{61.20}\times 100[/tex]
The percentage of the annual budget =36%
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Answer:
its D
Step-by-step explanation:
A balloon with a small leak loses 1% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week (7 days)? Round your answer to the nearest tenth.
Answer:
37.2 liters
Step-by-step explanation:
1% of 40 is 0.4
0.4 * 7 = 2.8
40 - 2.8 = 37.2 liters
Hope this helped
10. Sophia goes to an ice cream shop to get a medium ice cream that costs
$4.50. Sophia only has $6.40 and toppings are $0.75 each. Write an
inequality to find how many toppings Sophia can get. *
Answer:
$2.10
Step-by-step explanation:
find surface area for a rectangular prism
Answer:
the surface are is 34.64
Step-by-step explanation:
PLS HELP 25 POINTS
X х These line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night. X x X X X X + X + 3 1 2 4 5 6 7 8 9 10 Boys Select from the drop-down menus to complete each statement. X X X X X xxx X х X xx+ co + 1 2 3 4 5 6 7 8 9 10
The range Girls Choose
The mean Choose.
Answer:
RangeThe range of the data is the difference between the largest data value and the smallest data value.
Therefore, the ranges are:
Boys: 10 - 3 = 7
Girls: 9 - 5 = 4
So the boys have a larger range than the girls.
MeanTo calculate the mean, add up all the data values then divide by the number of values.
[tex]\textsf{Mean of Boys}=\dfrac{3+6+7+7+8+8+8+8+9+10}{10}=\dfrac{74}{10}=7.4[/tex]
[tex]\textsf{Mean of Girls}=\dfrac{5+6+6+6+7+7+7+8+8+9}{10}=\dfrac{69}{10}=6.9[/tex]
So the boys have a higher mean than the girls.
Samantha has 67 cents in her pocket. Write two coin combinations she could have that would equal the same amount
. A rectangular tank is 32 cm wide and 45 cm long. It
contains three identical plastic water plants and is
filled with water to a height of 10 cm. When Amy
pulls all three plastic water plants out of the tank,
the height of the water drops to 8 cm. Find the
volume of one plastic water plant.
PLEASE HELP!! WILL GIVE BRAINLIEST
Answer: 960^3 cm or 960 cubic centimeters
Step-by-step explanation:
Cubic because measuring 3 dimensions.
32x45 = area of given face
32x45= 1440
height of water = 10 cm
so,
area of given face x 10 =
32x45x10 or lxwxh (Volume)
so
1440x10= 14,400
1440x8= 11,520
so 14,400 - 11,520 = 2880
V of three plants = 2880
so, 2880/3 = volume of one plant
2880/3=960
V of singe plant = 960 units ^ 3
The difference in volumes represents the total volume of three plants, so answer should be divided by 3.
Hope This Helped!
Answer: one plastic water plant volume = 960 cm³
Step-by-step explanation:
Total volume = Water Volume + 3 plants volume
Total Volume = 32 cm x 45 cm x 10 cm = 14 400 cm³
Water volume = 32 cm x 45 cm x 8 cm = 11 520 cm³
3 Plants volume = 14,400 cm³ - 11,520 cm³ = 2880 cm³
1 Plant volume = 2,880 cm³ : 3 = 960 cm³
A lizard is 412 inches long.
How long is the lizard in centimeters?
Answer: 1046.48cm
Step-by-step explanation: Multiplying by 2.54 To convert
Easy question simplify
Answer:
144
Step-by-step explanation:
-12 * -12 = 144
12² =144
but the question was not 12², but -12²
so the answer is -144
if the exercise was between (), so writen like this (-12)²
then you would need to do the - to the power of 2 as well
at what time do u have to get out of the house if your walking 32 min to school school starts at 8 opens at 7:40
Answer:
7:10 or 7:20
Step-by-step explanation:
it allows time for the doors to open and time to get to class
Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? select three options. the domain is {x|x ≤ –2}. the range is {y|y ≤ 6}. the function is increasing over the interval (–[infinity] , –2). the function is decreasing over the interval (−4, [infinity]). the function has a positive y-intercept.
The graph of the function f(x) = –x^2 – 4x +2 are true options 1 and 4 are correct.
We have the given,
The graph of the function f(x) = –x^2 – 4x+ 2
The statements that agree with the graph of the equation are as follows:
1. The domain is {x|x ≤ –2}.
What is the domain?The set of points at which function is defined.
4. The function is decreasing over the interval (−4, ∞).
From the given graph,
We can say that the above statements are true.
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Answer:
yes
Step-by-step explanation:
Figure B is a scale image of Figure A, as shown. Enter the scale factor applied to Figure A to produce Figure B: figure A, 3 2 4 and Figure B, 6 4 10
Answer:
Figure A: 3, 4, 5
3 x 2 = 6
4 x 2 = 8
5 x 2 = 10
Figure B: 6, 8, 10
So the scale factor applied to Figure A to produce Figure B is 2
Could really use some help pls! It's due soon!
Point x is located at ( 2,5)
When reflecting across the y axis the x value remains the same.
The reflection is at y -2, from -2 to the location of z (-5) is a difference of 3 units.
Add 3 to the reflection line -2 + 3 = 1 , the new y value would be 1.
the new location would be (2,1)
please help with this question
Jenna's has invested 3000 at a 5% Simple rate how much interest will she earn in three years
Answer:
simple interest=Principal +Time+Rate÷100
Interest=3000+3+5÷100=3005.03
interest=3005.03
probably not hard but im not smart <3
Answer:
3x^5 y^2
Step-by-step explanation:
Find the value of x in
2x + 3x = 20+x
Hey there!
2x + 3x = 20 + x
5x = 20 + x
20 + x = 5x
SUBTRACT x to BOTH SIDES
5x - x = 20x + x - x
5x - 1x = 20x + 1x - 1x
SIMPLIFY IT!
4x = 20
DIVIDE 4 to BOTH SIDES
4x/4 = 20/4
SIMPLIFY IT!
x = 20/4
x = 5
Therefore, your answer is: x = 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
2 |3x-5| - 4 = 12
Solve for x
Show work
Isolate the absolute-value term:
2 |3x - 5| - 4 = 12
2 |3x - 5| = 8
|3x - 5| = 4
Recall the definition of absolute value:
[tex]|x| = \begin{cases}x & \text{if }x \ge0\\-x&\text{if }x<0\end{cases}[/tex]
We consider two cases:
• If 3x - 5 ≥ 0, then |3x - 5| = 3x - 5, and the equation resolves to
3x - 5 = 4
3x = 9
x = 3
• Otherwise, if 3x - 5 < 0, then |3x - 5| = -(3x - 5) = -3x + 5, hence
-3x + 5 = 4
-3x = -1
x = 1/3
What is the final answer ?
Answer:
16 feet
Step-by-Step Explanation:
If you graph it, the vertex will be (3,16) and that means 16 feet is the maximum height of the diver.
please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure.
225°
Answer:
Fraction: 5/8
Radians: 5pi/4 Radians
Step-by-step explanation:
1A Fraction
A circle has a total of 360 degrees, in order to solve the first part we must use this preknowledge.
As we are given 255 degrees, we simply order a fraction:
Degrees Given/360 Hence,
255/360
Simplify
5/8
1B Radians
In order to convert degrees to radians we use a simple trick, we must multiply the degree measure (225) by pi/180 because a full circle = 2pi radians or 360 degrees hence,
225 x pi/180
Simplify
5pi/4 radians
im so lost im in algebra 1 and i feel so slow
Answer:
Hey but you get better at in no time lol
Step-by-step explanation:
no need to worry
1. Which of the following is 60% in fraction form? A. 2/5 B. 3/5 2. What is 2/5 in percent? C. 4/5 D. 1/5 A. 20% B. 40% C. 80% D. 30% 3. What is 1/3 in decimal? A. 0.222 B. 0.333 C. 0.667 D. 0.445 4. What is 250 in the statement 24% of 250 is 60? A. base B. rate C percent D. percent 5. What is the equivalent of 48/100 in decimal form? A. 0.48 B. 0.048 C. 0.408 D. 0.0048 6. What do you call the quantity that represents the whole? A. base B. rate C. percent D. percentage 7. Which term is described as the quantity that is part of the base? A. base B. rate C. percent D. percentage 8. Which represents base in 30% of 300 is 90? A. 30 B. 90 C. 300 D. 30% 9. In the statement 24% of 250 is 60, which represents rate? A.0.24 B. 24% C. 60 D. 250 10. If 30% of 300 is 90, what do you call 90? A. base B. rate C. portion D. percentage 11. In the statement "18 is girls in the class of 60 learners? A. 3:12 B. 5:20 C. 1:4 D. All of these 16. Seven of the 35 boys in the class wear eyeglasses. What percent of the boys wear eyeglasses? Which of the following is asked in the problem? A. Base B. Rate C. Percentage D. Proportion any one help meg
1. 60% can be written as 60/100, simplified as 3/5
2. 2/5 is 40/100, can be written as 40%
3. 1/3 is 33.33333...% -> 0.(3) [ infinite recurring decimals if i remember correctly]
4. 250 here is the base (original number)
5. 48/100 can be written as 48% -> 0.48
6. base
7. percentage
8. 300
9. 24%
10. portion
11. (i dont know what this mean, next time write it more carefully)
12. percentage
jacks comfort cafe & bakery buys cheesecake for $8.00 and it marks up 36% what is his selling price
Answer:$10.88
Step-by-step explanation:
36/100 ×8= 2.88
Selling price is 8+2.88
What is the solution to the equation below?
Blog4x = log232+ log 2
O X=-8
O
X=-4
O x=4
X-
X-8
Answer:
x = 4
Step-by-step explanation:
When you have a coefficent in front of a logarithm function, you can take the argument to the power of that coefficient. For example, the 3 in front of the logarithm can be brought into the argument, and you can take 'x' to the third power. You get:
[tex] log_{4}( {x}^{3} ) = log_{4}(32) + log_{4}(2) [/tex]
When you add logarithms, it is equivalent to multiplying their arguments:
[tex]log_{4}( {x}^{3} ) = log_{4}(32 \times 2) = log_{4}(64) [/tex]
Since both sides are log base 4, the arguments must equal each other:
[tex] {x}^{3} = 64[/tex]
[tex]x = \sqrt[3]{64} = 4[/tex]
here it is, this is ur answer x=4
7 12 10 15 13. what is the pattern.
It is plus five, minus two (repeated)
The pattern is +5 then -2 alternatively .
What is pattern?A pattern is a repeated arrangement of numbers, shapes, colors and so on. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern. Sometimes, patterns are also known as a sequence.
According to question
7 12 10 15 13 .........
The pattern in the series is
7+5 = 12
12-2 = 10
10+5=15
15-2= 13 .....................
Hence, the pattern is +5 then -2 alternatively .
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