The true statements are:-
( 1 ) The square root of a positive number cannot be negative.
( 2 ) √49 = 7 because 7(7) = 49.
( 3 ) √25 = 5 because 5²= 25.
What is algebra?Algebra is one of the many branches of mathematics. Algebra, in broad terms, is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a thread that runs through almost all of mathematics.
The right statements are:-
( 1 )The square root of a positive number cannot be negative.
Example, √100 = 10
(2) √49 = √ ( 7 x 7 ) = 7
(3) √25 = √ ( 5 x 5 ) = 5
Hence, the correct statements are options A, D and E.
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Tony gains 14 ounces every month. How many pounds does he gain in 13 months?
Answer:
i think 40
Step-by-step explanation:
For the graph, name the parent function and write an equation of the graph.
This is a transformation of the parent square root function, and it can be written as:
f(x) = √(-x + 4) - 2
Which is the parent function graphed?
It is ratter easy to identify the shape of the general square root function:
f(x) = √x
The only difference is that now it opens to the left, and it starts at the point (4, -2)
Then:
The sign of the x must be negative.
And with the known vertex we can write the equation:
f(x) = √(-x + 4) - 2
That is the graphed function.
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The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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Help I need help with this now
The volume of the rectangular prism is 90 units³
We have,
The figure shown has the dimensions:
L = Length = 5 units
W = Width = 6 units
H = Height = 3 units
Now,
The volume of the rectangular prism.
= L x W x H
= 5 x 6 x 3
= 90 units³
Thus,
The volume of the rectangular prism is 90 units³
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factor this polynomial completely x2 - x - 20
Answer:
(x+4)(x-5)
Step-by-step explanation:
We can look at it by thinking of two numbers, that add up to -1 and multiply to -20. We can first do this by looking at factors of -20, which are 1, -20, -1, 20, 2, -10, -2, 10, and so on. After looking through it, we can notice that -5 and 4 added equal -1, and when multiplied equal to -20, so they work. So, we factor to (x+4)(x-5)
Answer:
(x +5) (x -4)
Step-by-step explanation:
Factors of 20:
1,20
2,10
4,5
4 and 5 combine to create 1
+5 -4 = 1
(x +5) (x -4)
Samantha is training for a race. The distances of her training runs form an arithmetic sequence. She runs 1 mi the first day and 2 mi the seventh day.
a. What is the explicit definition for this sequence?
b. How far does she run on day 19?
Pls help
first person gets brainliest
Answer:
x = -4
The x+43 angle is 39 degrees
The x+66 angle is 62 degrees
======================================================
Explanation
Rule: The three inside angles of any triangle always add to 180 degrees.
In this case we can say the following
(x+43)+(x+66)+(79) = 180
2x+188 = 180
2x = 180-188
2x = -8
x = -8/2
x = -4
That leads us to
x+43 = -4+43 = 39x+66 = -4+66 = 62The three interior angles of this triangle are
39 degrees62 degrees79 degreesThey add to 39+62+79 = 180 to confirm the answer.
Which of the following products is most likely to be marketed using an undifferentiated approach?
O a. Seasoning salt
O b. Bicycle
O c. Oscillating fan
O d. Computer
Oe. Notebook
SCL1501 ASSIGNMENT 1 2023_0 X + 20kay/Documents/2023%20assessments/SCL 1501%20ASSIGNMENT%201%202023_0adc3afa3db59caacea862 QUESTION 5 Jane Doe purchased a Range Rover last week for R790 500 (VAT incl). While driving from the Dube Port area along the N2 Road in Durban, she collides with John Wick, who is the owner-driver of a Porshe Cayenne. Doeriş is 23% negligent, whereas Wick is 33% negligent. The damage to the Range Rover is estimated at R175 000.00. It is uneconomical to repair the Porsche, but its salvage value is R125 000.00. The pre-accident value of Porsche was R985 000.00. Regarding the damages to Doe and Wick's motor vehicles, calculate who must pay whom and what would be the amount in damages. (4)
Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.
What is the basic mathematical οperatiοns?The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.
Tο calculate the damages, we need tο find οut the prοpοrtiοn οf negligence fοr each driver and apply it tο the damages.
Let D represent Dοe and W represent Wick.
Dοe's negligence = 23%
Wick's negligence = 33%
Tοtal negligence = 23% + 33% = 56%
Therefοre, Dοe is 23%/56% = 0.4107 οr 41.07% liable, and Wick is 33%/56% = 0.5893 οr 58.93% liable.
Damage tο Range Rοver = R175 000
Dοe's liability = 41.07% οf R175 000 = R71 872.50
Wick's liability = 58.93% οf R175 000 = R103 127.50
Salvage value οf Pοrsche = R125 000
Pre-accident value οf Pοrsche = R985 000
Lοss οf value οf Pοrsche = R985 000 - R125 000 = R860 000
Wick's liability fοr lοss οf value = 58.93% οf R860 000 = R506 398.00
Therefοre, Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.
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Help Plis.......................
Answer:
C
Step-by-step explanation:
Two negative signs make a positive number. So -(-4) makes 4. I know it sounds weird, but thats what schools teach. Hope this helps!
A piece of art is in the shape of a rectangular pyramid like the figure shown.
A rectangular pyramid with a base of dimensions 7 feet by 6 feet. The two large triangular faces have a height of 7.79 feet. The two small triangular faces have a height of 8 feet.
How much glass is needed to cover the entire pyramid?
After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.
what is pyramid?A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.
To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.
The formula for calculating the surface area of each triangular face is:
(1/2) x width x height
27.31 square feet = (1/2) x 7 feet x 7.79 feet
24 square feet = (1/2) x 6 feet x 8 feet
Simply multiply the length and width to find the area of the rectangular base:
7 feet by 6 feet equals 42 square feet
As a result, the total surface area of the pyramid is:
145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet
As a result, 145.62 square feet of glass are required to cover the entire pyramid.
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Answer: 102.53
Step-by-step explanation: I calculated all the numbers you gave me and then added them to get 102.53
Results of a recent study reveal insights on perceptions and attitudes toward mobilemobile shopping. The study results show that 29% of consumers indicate that in dash appin-app recommendations would drive them to add more items to their cart and that 3838% would spend more time in the appin the app. But shopper priorities change the moment they need help; they expect to get it immediately and effortlessly. If forced to stop what they're doing and leave the appapp to get help, 1 out of 55 shoppers would likely not make a purchase with the brand at all. The research is based on an online survey with a sample of 1 comma 1,800 U.S. adults who have made purchases via their mobile devicetheir mobile device. Complete parts (a) through (d) below.
Describe the sample that was collected.
A. The sample includes only the 684684 consumers that indicated that in dash appin-app recommendations would drive them to add more items to their cart.
B. The sample includes all U.S. adults who make purchases via their mobile devicetheir mobile device.
C. The sample includes only the 522522 adults that would spend more time in the appin the app.
D. The sample includes the 1 comma 8001,800 U.S. adults who made purchases via their mobile devicetheir mobile device.
Answer: D. The sample includes the 1,800 U.S. adults who made purchases via their mobile device
Step-by-step explanation:
The survey showed that it was based on a sample of 1,800 US adults who have made purchases via their mobile phones so D is correct.
A is incorrect because 29% of the sample is 522 people not 684. Also the sample includes more people than only those who indicated that app recommendations would drive them to add more items to their cart.
B is wrong because this is a sample so it cannot include ALL US adults who make purchases via their mobile devices.
C is also incorrect because 38% of the sample is 684 people not 522. Also the sample includes more people than those who would spend more time in the app.
6(3x+4)+2(2x+2)+2=22x+31 solve the equation for the given variable
The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.
What is the solutuon to the given equation?Given the equation in the question:
6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31
To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.
Apply distributive property:
6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31
18x + 24 + 4x + 4 + 2 = 22x + 31
Collect and combine like terms on both sides:
22x + 30 = 22x + 31
Next, we want to isolate the variable x on one side.
22x - 22x + 30 = 22x - 22x + 31
30 = 31
However, we notice that the x terms cancel out when subtracted:
30 ≠ 31
This means that there is no solution.
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Find the radius of a circle that has an area of 121 pi ft2.
Answer: 11
Step-by-step explanation:
area = 121 pi = pi r^2 Divide both sides by pi
121 = r^2
r= 11
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side
can sum1 do this for me
10, 7, 4, 1, -2 common ratio
Answer:
Step-by-step explanation:
common ratio is -3
10-3=7
7-3=4
4-3=1
etc
Answer:
-3
Step-by-step explanation:
common ratio=a2-a1=7-10=-3
what is the regular price r of a museum ticket before the discount? Enter the amount table.
Answer:
The regular price r of a museum ticket before the discount is $60
Step-by-step explanation:
What is discount?
Discount is a reduction made from the gross amount or value of something.
What is regular price?
Regular price means the price at which similar goods or services are regularly sold on the market.
Given,
\(54=0.9r\\r=54/0.9\\r=60\)
The regular price r is $60
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Answer:
The regular price r of a museum ticket before the discount is $60
Step-by-step explanation:
hope this helps
Escribir la ecuación de la circunferencia de centro (3,4) y radio r = 2
13) The pet shop has 6,157 dog treats. They packed the treats into bags with 7 pieces in each bag. Any treats
that did not fit into a bag of 7 were given to the groomer to use to reward animals getting bathed. How many
bags of treats did they fill? How many treats were given to the groomer?
bags of treats and gave
left over treats to the groomer.
Answer: The pet shop filled___bags of treats and gave ____left over treats to the groomer.
The number of bags filled by the pet shop is 879 and the number of treats they gave to the groomer is 4.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the data given in the question,
Total number of dog treats in the shop = 6157
Number of treats per bag = 7
Extra treats will be given to the groomer.
Then, the number of bags will be,
6157/7 = 879.57
This means that a total of 879 bags are there, with 7 pieces of treats per bag.
So, the total number of treats in 879 bags will be,
879 × 7 = 6153
So, the amount of treats left for the groomer is,
6157 - 6153 = 4 treats.
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what is relative intrest
Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.
1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.
2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.
3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.
4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.
5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.
6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.
Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.
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Which two triangles are congruent by the SSS Theorem? Complete the congruence statement.CABSQRGHI△
SSS theorem: All three corresponding sides are congruent.
Therefore, Consider the 2 triangles to the right:
GI = SR
HG = QS
HI = QR
So:
Δ GHI ≅ Δ SQR by the SSS postulate
Answer: Δ GHI ≅ Δ SQR
In a random sample of 300 people in a town, 193 were female. What is the sample portion of female
Answer: 0.643
Step-by-step explanation:
There are 300 people and 193 were female.
The sample portion that is female is therefore;
= 193/300
= 0.643
A waiter earned $300 in tips during his shift on Friday. On Saturday, he earned $335 in tips. What is the percent increase of his tips from Friday to Saturday?
35.00%
11.67%
11.17%
10.45%
The percentage increase of his tips from Friday to Saturday is 11.67%.
Given,
Tips earned in Friday = $300
Tips earned in Saturday = $335
We need to find the percent increase from Friday to Saturday.
How do we find the percent increase?It is given by:
% increase = (Final amount - Initial amount ) / Initial amount x 100
Find the % increase.
Initial amount = Friday amount = $300
Final amount = Saturday amount = $335
% increase = (Final amount - Initial amount ) / Initial amount x 100
= ( 335 - 300 ) / 300 x 100
= 35 / 300 x 100
= 35 / 3
= 11.66666%
= 11.67%
Thus the percentage increase of his tips from Friday to Saturday is 11.67%.
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Option B is correct, the percent increase of his tips from Friday to Saturday is 11.67%.
To calculate the percent increase, we use the following formula:
Percent Increase = ((New Value - Old Value) / Old Value) * 100
Where:
New Value = Tips earned on Saturday = $335
Old Value = Tips earned on Friday = $300
Percent Increase = ((335 - 300) / 300) × 100
= (35 / 300) × 100
= 0.11666666667 × 100
= 11.67%
So, the percent increase of his tips from Friday to Saturday is approximately 11.67%. Option B is correct.
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50 points pls help
Assume that the parcel starts its journey at 20ºC (lower left blank, 0 meters). Use the DAR (5C/500 meters) to calculate the decreasing temperature of the parcel up to and including the 1000-meter elevation.
The decreasing temperature of the parcel as it travels up the mountain, from 0–m to 1,000–m are;
20 °C, 25 °C, 30 °C
What is the Dry Adiabatic Lapse rate?The Dry Adiabatic Lapse Rate is the rate of change in temperature air which is unsaturated as it moves towards or away from a surface.
The given temperature of the parcel at an elevation of 0 meters = 20 °C
The Dry Adiabatic lapse Rate, DAR = (5°C/ 500–m)
The temperature, T, of the parcel at 1000–m is found as follows;
Using the DAR of 5°C/500–m, we have;
At 0–m, T = 20°CAt 500–m, T = 20°C - 500–m × (5°C/500–m) = 15°At 1000–m, T = 20°C - 1000–m × (5°C/500–m) = 10°Learn more about types of lapse rate here:
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Evaluate the following problem: (7.2 × 105)(0.4 × 10−3)
Answer:
756
Step-by-step explanation:
Answer:
756
Step-by-step explanation:
(7.2×105)(0.4×10−3)
Multiply 7.2 and 105 to get 756.
756(0.4×10−3)
Multiply 0.4 and 10 to get 4.
756(4−3)
Subtract 3 from 4 to get 1.
756×1
Multiply 756 and 1 to get 756.
756
Given the points (-1,3) and (2,-3), what's the slope of the line? A) m = -6 B) m= -2 C) m = 1/4 O D) m = 5 D= 5
Answer:-2
Step-by-step explanation:
Slope = y2-y1/x2-x1
3--3/-1-2
6/-3
-2
A total of 64 musicians entered a music contest, and 5/8 of these musicians are violinsts. how many are not violinsts that entered the contest.
8/8 minus 5/8 is 3/8.
3/8 of 64 is 24
The answer is 24.
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the y-axis.
y
=
11
−
x
,
y
=
0
,
x
=
3
,
x
=
9
Using the shell method, the volume of the solid generated when R is revolved about the y-axis is V= 324π cubic units.
The shell method refers to a method of finding volumes of the solid by decomposing a solid of revolution into cylindrical shells. It is one of the methods to find the volume of the solid. This solid is generated when region R is rotated about an axis or the y-axis. In case it is y-axis then the following formula is used:
V= ∫_a^b▒〖2πx [f(x)-g(x)]dx〗
Where y = f(x), y = g(x), and the interval is considered as [a,b].
The given curves are: y = 11 − x, y = 0, x = 3, x = 9
V= ∫_3^9▒〖2πx [11-x-0]dx〗
V= 2π∫_3^9▒〖(11x-x^2)dx〗
V= 2π[11/2 x^2- 1/3 x^3]
V= 2π[11/2 9^2- 1/3 9^3- 11/2 3^2+ 1/3 3^3]
V= 2π[891/2- 729/3- 99/2+ 27/3]
V= 2π[729/2- 702/3]
V= 2π[396-234]
V= 2π[162]
V= 324π cubic units
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Ayaan drank 11/4 bottles of water during a soccer game.what is this fraction as a mixed numeral
Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.
To convert the fraction 11/4 to a mixed numeral, we need to determine the whole number part and the fractional part.
Divide the numerator (11) by the denominator (4).
11 ÷ 4 = 2 remainder 3
The quotient 2 represents the whole number part, and the remainder 3 represents the fractional part.
Write the mixed numeral using the whole number part and the fractional part.
The mixed numeral for 11/4 is:
2 and 3/4
Therefore, Ayaan drank 11/4 bottles of water during the soccer game, which can be expressed as a mixed numeral 2 and 3/4.
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