Answer:
x = 64
Step-by-step explanation:
Solve for x: √x + 3-4=7
√x + 3-4=7
= √x + 1 = 7
= √x = 7 + 1
= √x = 8
= (√x)² = 8²
x = 64
Combine the radicals 4√7 + 3√28
Answer:
10√7
Step-by-step explanation:
you can simplify the second radical and break it up into
√4 * √7 which then simplifies to 2√7 which you then multiply by 3. 4√7 + 3(2√7) which becomes 4√7 + 6√7 and then you just add the numbers Infront to get 10√7
What makes the set of intergers different from the set of whole numbers
Answer:
integers include negative numbers, whole numbers are only 0 and positive numbers.
Step-by-step explanation:
whole numbers are very similar to integers as they do not have a decimal place although whole numbers are from 0, 1, 2, 3.... and so on whereas integers include negative numbers as well. So all whole numbers are integers but not all integers are whole numbers.
The ratio of Michaels's points on an English test to Paloma's points on the same test is 12:11. The ratio of Michaels's points on the English test on the same test was 4:3. the 3 students score a total of 224 points on the same test. What is the difference between Palomas and Antons' points on the English test? Try to explain fully, if possible. Thank you SO MUCH!
The difference between Palomas and Antons' points on the English test is of 14 points.
What is Ratio ?When two numbers can be written in the form as p:q , they are said to be in Ratio.
It is given that
The ratio of Michaels point to Paloma point is 12 :11
The ratio of Michaels point to Anton's Point is 4:3
Let Paloma's point be x
then Michaels point will be 12x/11
and Anton's points will be
(12x/11 ) / Anton's points = 4 /3
Anton's points = 9x/11
It is given that the sum of the points of the three students is 224
so
x + (12x/11)+ (9x/11) = 224
32x /11 = 224
x = 77
Paloma's points = 77
Anton's Points = 9x/11 = 63
The difference between Palomas and Antons' points on the English test
=77 -63
= 14 points.
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When the greatest common divisor and least common multiple of two integers are multiplied, the product is 180. How many different values could be the greatest common divisor of the two integers
The different values that could be be the greatest common divisor of the two integers are; 1, 2, 3, 4, 6
How to find the greatest common divisor?
Let the numbers be a, b. Thus, the product of the GCD(a, b) and the LCM(a, b) will be ab.
Now, for us to get something to be a factor of the GCD we need to make it be a factor of both a, b. Thus, its' square must be a factor of 180.
Therefore, the only numbers whose square is a factor of 1800 are 1, 2, 3, 4, 6 and as such they are the only GCDs possible.
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This is the last question PLSSSSS HELP
Answer:
D
Step-by-step explanation:
The volume of a cylinder is pi * r^2 * h
A) V = 3.14 * (0.7/2)^2 * 6.2 = 2.4 m^2
B) V = 3.14 * (0.9/2)^2 * 3.4 = 2.2 m^2
C) V = 3.14 * (1.2/2)^2 * 6.8 = 7.7 m^2
D) V = 3.14 * (1.4/2)^2 * 6.2 = 9.5 m^2
y-2-√x-6
what is the domain of this function?
Tariq also designs hot tubs. The diameter of the hot tub is 3 meters. What is the area of the deck that surrounds the hot tub? If necessary, round to the nearest tenth.
The area of the deck that surrounds the hot tub is 17.93 m²
What is Area?
The area is the amount of space within the perimeter of a 2D shape.
radius = 3/2 = 1.5 m
Area of deck,
=Area of square - area of circle
= side side- πr²
=5*5 - 3.14* 1.5*1.5
= 25- 7.065
= 17.93 m²
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Calculate the a) total tax rate, and b) sales tax.
The total tax rate and the sales tax will be given below.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Total selling price (TSP), State tax rate (STR), City tax rate (CTR), Total tax rate (TTR) and Sales tax (ST).
The table complete table is given below.
Item TSP STR CTR TTR ST
Clothing $81.39 3% 0% 3% $2.44
Cell phone $159.95 5% 0% 5% $7.99
MP3 player $195.55 4% 2% 6% $11.73
Computer $1599.75 4.88% 1.50% 6.38% $102.06
Take-out $49.85 8.13% 2.50% 10.63% $5.29
Pickup truck $38,526.42 6.50% 1.25% 7.75% $2985.79
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Find x, y, and z. Help me please :)
Answer:
x = 58°
z = 60°
y = 29( 58°)
Step-by-step explanation:
The arrows on the lines are trying to tell you that these lines are parallel to each other, whenever you see parallel lines think of *FUN* method
2y = 58° (alternate angles)
y = 29
x = 58° (alternate angles)
62° + 58° + z = 180° (sum of angles on a triangle)
120° + z = 180°
z = 60°
1. Decide if the following is a properly formed syllogism. If you are going to wrap Holly’s gift, you need wrapping paper. If you need wrapping paper, you have to go to the store. Therefore, if you go to the store, then you’re going to wrap Holly’s gift.
A) This is a syllogism.
B) This is not a syllogism.
This is not a syllogism. Hence option B is correct.
What is a syllogism?A logical structure for a formal argument that includes a major, minor, and conclusion.
This syllogism cannot be concluded without a given statement.
You'll need wrapping paper if you're going to wrap Holly's present. To get wrapping paper, you must visit a store.
Therefore, you will wrap Holly's present if you visit the store. This isn't a syllogism
Hence option B is correct.
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Answer:
This is not a syllogism
Step-by-step explanation:
I took the quiz. :)
Which of the following represents the synthetic division form of the long division problem below? (2x ^ 3 - 6x ^ 2 + 4x + 7)/(x + 3)
Look at the diagram. Which of the following is another name ∠2?
∠CDB
∠BCD
∠DCB
∠DBC
The other name for angle 2 is ∠DBC
The correct option is (D)
What is Angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
We know that while naming the angle we have to consider the point where the angle is made should be at center.
Hence, the angle 2 can also be written as ∠DCB.
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Fully simply 15x^4y^4(−5x^3y^5)
Answer:
[tex]-75x^{7}y^{9}[/tex]
Step-by-step explanation:
The lines shown below are perpendicular. If the green line has a slope of
1/7 what is the slope of the red line?
A.7
B.1/7
C.-7
D. -1/7
Answer:
c: -7
Step-by-step explanation:
the slope of a perpendicular line is the negative reciprocal of the original line
a way to find this is to flip the numerator and the denominator of a slope and make it negative
1/7 --> 7 --> -7
that would be your slope
what is Math?
who ever answer this question I shall mark him as brainiest.
Answer:
Maths is the subject which deals with numbers, calculations, areas, geometry etc
Various topics in maths are
trigonometry
geometry
airthmatic
etc
pls hurry i really i need to finish
The square below represents one whole.
Express the shaded area as a fraction, a
decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%
Answer:
fraction:4/10 or 2/5
decimal: 0.4
percent: 40%
Step-by-step explanation:
The rectangle is divided into 10 parts, this is a total number that goes on the bottom of a fraction. 4 parts are shaded, that number goes on the top of the fraction.
4/10 is shown in the image. But 4/10 can be reduced. You should always simplify a fraction when it is possible.
4/10 = 2/5
As for the decimal, 4/10 spoken, "four tenths" tells you the decimal 0.4 (we all say "point four", but this is properly called "four-tenths" also) You can divide, because a fraction bar is a division symbol:
4÷10 OR 2÷5 and you will get the decimal 0.4
To change the decimal to a percent, multiply by 100.
0.4 × 100 is 40
0.4 is 40%
fraction:: 4/10 or 2/5 (simplified)
decimal: 0.04
percentage: 4%
PLEASE HELP
How many integers are there on the number line between $2\sqrt{10}$ and $10\sqrt{2}$?
Answer:
8
Step-by-step explanation:
To one decimal place:
[tex]2 \sqrt{10} = 6.3[/tex]
[tex]10 \sqrt{2} = 14.1[/tex]
So there are eight integers between 2√10 and 10√2: 7, 8, 9, 10, 11, 12, 13, and 14.
Which is a nonlinear relationship
Answer:
D. 4
Explanation:
Linear relationship refers to relationships which give straight lines when graphed. All the segments, except segment 4, show straight-line, linear relationships.
As section 4 is curved, it show nonlinear relationship.
The number of boys who signed up to play winter basketball is 175 percent of what it was last year. if 320 boys played winter basketball last year, how many signed up to play this year?
The number of boys signed up to play basketball this year is 560.
Given that, the number of boys who played basketball last year = 320.
We need to find the number of boys signed up to play basketball this year.
What is a percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Now, the number of boys signed up to play basketball this year = 175 per cent of what it was last year.
So, the number of boys signed up to play basketball this year = 175% of 320
[tex]=\frac{175}{10} \times 320=1.75 \times 320=560[/tex]
Therefore, the number of boys signed up to play basketball this year is 560.
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A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 2 of the recall, the manufacturer fixed 192 cars. In week 4, manufacturer fixed 184 cars. Assume that the reduction in the number of cars each week is linear. Write an equation in function form to show the number of cars seen each week at the mechanic.
f(x) = 4x + 200
f(x) = 2x + 192
f(x) = −4x + 200
f(x) = −2x + 192
Answer:
the answer is f(x)=2x+192
Answer:
The answer is F(x)=2x+192
Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:
171 divided by 3.8
Jacob started by multiplying the divisor and the dividend by 10. This is the new problem:
1710 divided by 38
Use long division to find the quotient.
0.45
4.5
45
450
The answer is 45
------------------------------------------------------------
Find the value of x. Then find the measure of each labeled angle.
Answer:
x = 70 and the labeled angles are 110 and 70
Step-by-step explanation:
This is a trapezoid, the bases are parallel.
Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:
x + 40 + x = 180 add like terms
2x + 40 = 180 subtract 40 from both sides
2x = 140 divide both sides by 2
x = 70 and the labeled angles are 110 and 70
HELP
Can someone help me with number 26 plss
Answer:
(-2,-9)
(-1,8)
(0,-5)
(1,0)
(2,7)
Step-by-step explanation:
Mike wants to make meatloaf. His recipe
uses a total of 7 pounds of meat. If he uses a 3 to one ratio of beef to pork,how Mach pork will he use?
Answer:
Mark will use 1.25 pounds of pork.
Step-by-step explanation:
Let b represent the number of pounds of pork and p represent the number of pounds of beef. Since the ratio of beef to pork is 3 to 1, we have b/p = 3/1, which then becomes b = 3p. From this:
[tex]3p + p = 7[/tex]
[tex]4p = 7[/tex]
[tex]p = 1.75[/tex]
[tex]b = 3 \times 1.75 = 5.25[/tex]
A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and females:
Male Female Total
Income over $50,000 475 375 850
Income below $50,000 75 75 150
Total 550 450 1,000
Based on these data, are "being female" and "earning over $50,000" independent events?
Yes, P(being female | the person earns over $50,000) = P(being female)
Yes, P(being female | the person earns over $50,000) ≠ P(being female)
No, P(being female | the person earns over $50,000) = P(being female)
No, P(being female | the person earns over $50,000) ≠ P(being female)
Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Two events, A and B are independent, if:
P(A [tex]\cap[/tex] B) = P(A) P(B)
In this problem, the events are:
Event A: Being female.Event B: Earning over $50,000.Out of the 1000 people, 450 are female, hence:
P(A) = [tex]\dfrac{450}{1000}[/tex] = 0.45
850 earn over $50,000, hence:
P(B) = [tex]\dfrac{850}{1000}[/tex] = 0.85
375 are women who earn over $50,000, hence:
P(A [tex]\cap[/tex] B) = [tex]\dfrac{375}{1000}[/tex] = 0.375
The multiplication of the probabilities is:
P(A [tex]\cap[/tex] B) = 0.45(0.85} = 0.3825
Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
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Mike has a large amount of chocolate spheres, each chocolate sphere having a radius of 2 inches.
The value of the expression Z² + Q² is 4321
How to evaluate the expression?The radius of the chocolate spheres is given as:
r = 2
The maximum number of chocolates that can fit in a spherical capsule is calculated as:
Max = R³/r³
Where:
R represents the radius of the sphere.
For the spherical capsule whose radius is 8 inches, we have:
Z = 8³/2³
Evaluate
Z = 64
For the spherical capsule whose radius is 5 inches, we have:
Q = 5³/2³
Evaluate
Q = 15.625
Remove decimal
Q = 15
So, we have:
Z² + Q² = 64² + 15²
Evaluate the exponent
Z² + Q² = 4096 + 225
Evaluate the sum
Z² + Q² = 4321
Hence, the value of Z² + Q² is 4321
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Is 40% of 90 closer to 10 or 30?
Answer:
Closer to 30.
Step-by-step explanation:
To answer this first find 40% of 90.
90*0.4=36
0.4 is the same as 40%
Hope this helps!
If not, I am sorry.
The following data shows the temperature of a city, in degrees Celsius, on consecutive days of a month:
8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4
Which box plot best represents the data? (1 point)
SECOND ONE
Step-by-step explanation:
Trust me
The second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have a box plot shown in the picture.
The data:
8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4
From the data given:
The minimum value = 8.2
The maximum value = 8.9
Q1 = 8.3
Q2 = 8.4
Q3 = 8.5
As we can see in the second box plot this data is represented.
Thus, the second box plot represents the data 8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4 option second is correct.
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Two rigid transformations are used to map TriangleJKL to TriangleMNQ. The first is a translation of vertex L to vertex Q. What is the second transformation?
a reflection across the line containing LK
a reflection across the line containing JK
a rotation about point L
a rotation about point K
Triangle JKL is mapped to Triangle MNQ by two rigid transformations. Vertex L to vertex Q translation is the first. a rotation about point L is the second transformation. Option A is correct.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
Two rigid transformations are used to map Triangle JKL to Triangle MNQ. The first is a translation of vertex L to vertex Q.
The second transformation is a rotation about point L.
Hence option A is correct.
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Answer: Option 3 or C. a rotation about point L
Step-by-step explanation:
I took the quiz and got 100% correct on Edge 2022. Trust me if you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful. Good luck everyone! :)
