Answers
Related Questions
PLS HELP!
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer.
Part B: If (7^0)^x = 1, what are the possible values of x? Explain your answer.
WILL GIVE BRAINLIEST
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Part A: The value of x is 0.
Part B: X can be any real number.
In Part A, you have to first evaluate 7^2. This is 49. Now, write the equation 49^x = 1. We know that if you raise any number to 0, then the answer is 1.
In Part B, you have to first evaluate 7^0, that is 1. Now, we have the equation 1^x = 1. In this case, 1 raised to any exponent is still only 1. Imagine 1^17, this would be 1 times itself 17 times or just 1.
Therefore any number will work in Part B.
Which one expression could represent the approximate population of the small town
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6,000,000 ÷ 15 = 400,000
it would be 400,000 or 4x10^4
NEED HELP FAST PLEASE 3 Fair number cubes with sides number 1 through 6 were tossed in the air was the probability that all three cubes will land on an even number
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∗ 3/6 of them are even.
∗ 3/6 reduces to 1/2
∗ 1/2 • 1/2 • 1/2 = 1/8
⋆ The probability is 1/8 ⋆
♡´･ᴗ･`♡вяαιиℓιєѕт ρℓєαѕє♡´･ᴗ･`♡
what is the volume of a shpere when the diameter is 6cm?
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In this case we need to find the radius by dividing the diameter by 2.
radius = 6/2 = 3
Volume:
4/3(3.14)(3)³ = 113.04 cm³
The volume of the sphere with a diameter of 6 is 113.04 cm³
Final answer:
To find the volume of a sphere with a diameter of 6 cm, first determine the radius, which is 3 cm, and then use the formula V = (4/3)πr³ to calculate the volume, resulting in approximately 113.097 cm³.
Explanation:
The volume of a sphere is calculated using the formula V = (4/3)πr³, where V represents the volume and r is the radius of the sphere. When the diameter of the sphere is given as 6 cm, the radius is half of that, which is 3 cm. Therefore, substituting the radius into the formula yields:
V = (4/3)π(3 cm)³ = (4/3)π(27 cm³) = 36π cm³
This results in a volume of approximately 113.097 cm³ (since π is approximately 3.14159).
The measure of ∠A is (12x-5)°. If x=9, find the measure of ∠A. Then classify the angle.
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Given:
[tex] \angle A=(12x-5)^{\circ}\\ \\ x=9 [/tex]
Solution:
Substitute 9 for x in the expression for angle A.
[tex] \angle A=12(9) -5=108-5=103^{\circ}\\ \\ [/tex]
An obtuse angle is an angle of greater than 90° and less than 180°, so..
[tex] \angle A \; is \; equal \; to \; 103^{\circ} \; and \; it \; is \; an \; Obtuse \; Angle! [/tex]
Judy makes a lemon pie. Judy cuts the lemon pie into six equal pieces. Judy wants to share the pie with her friend, Edith. Judy eats one piece of the lemon pie. Edith eats one piece of the lemon pie. Judy says that each of them are one - sixth of the lemon pie. Edith says that each of them are two sixths of the lemon pie. Who Is correct?
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Both Judy and Edith are correct. They each ate one-sixth of the lemon pie.
Explanation:Judy and Edith are discussing how much of the lemon pie they each ate. Judy claims that they each ate one-sixth of the pie, while Edith says they ate two-sixths. To determine who is correct, let's break it down:
Judy cut the pie into 6 equal pieces.Judy ate 1 piece, so she ate 1/6 of the pie.Edith also ate 1 piece, so she also ate 1/6 of the pie.Therefore, both Judy and Edith are correct. They each ate one-sixth of the lemon pie.
Find the unknown length x in each right triangle ,to the nearest tenth.please help
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The following are the value of the unknown length x to the nearest tenth;
9. x = 9.0
10. x = 16.3
11. x = 54.1
12. x = 46.7
What is the value of the unknown length?
9.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 37° = 53°
cos 53° = x/15
cross product
15 × cos 53° = x
15 × 0.601815023152048 = x
x = 9.0272
Approximately, 9.0
10.
cos θ = Adjacent / Hypotenuse
cos 53° = x/27
cross product
27 × cos 53° = x
27 × 0.601815023152048 = x
x = 16.25
Approximately, 16.3
11.
cos θ = Adjacent / Hypotenuse
cos 75° = 14/x
cross product
x × cos 75° = 14
x = 14/cos 75°
x = 14/0.258819045102520
x = 54.1
12.
cos θ = Adjacent / Hypotenuse
cos θ = 90° - 24° = 66°
cos 66° = 19/x
cross product
x × cos 66° = 19
x = 19/cos 66°
x = 19/0.406736643075800
x = 46.7132
Approximately,
x = 46.7
On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Decompose the figure into parallelograms or triangles only. Explain or show how you decomposed the shape. Note: Lines that look parallel are parallel, and lines that look congruent are congruent.
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Answer:
To decompose this shape I would draw a vertical line from the vertex that is pointing outside to the vertex that is pointing inside. By doing this the vertical line will give me 2 congruent parallelograms. Yes it's that simple
Step-by-step explanation:
Bryce has to complete 100 minutes of writing every ten days. He writes for 10 minutes each day. What fraction of his writing requirement does Bryce complete in five days? Write in simplest form.
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The percentage of his total requirement would be 50/100 = 0.5 = 50%.
After 5 days, he writes for 50 minutes because
10 x 5 = 50
50 is 1/2 of 100. He has done 1/2 of his requirement.
Hope this helps!
What is the range of the graph? Please help me and thank you!
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Step 1) Find the lowest point. The lowest point is (1,-4)
Step 2) Find the y coordinate of this lowest point. The y coordinate is y = -4
The range is the set of possible y output values of a function. The range in this case is the set of real numbers y such that [tex]y \ge -4[/tex] (y is greater than or equal to -4). Basically y can equal -4 or it can be larger than -4. It is not possible for y to be smaller than -4
What is the volume of this object?
A)
24 mm3
B)
36 mm3
C)
48 mm3
D)
60 mm3
Answers
Answer:
(A) 24 [tex]mm^{3}[/tex]
Step-by-step explanation:
Length of the first piece = 8 - 6 = 2 mm
Width of the first piece = 1 mm
Height of the first piece = 6 mm
Volume of the first piece = 2 × 1 × 6= 12[tex]mm^{3}[/tex]
Length of the second piece = 6 mm
Width of the second piece = 1 mm
Height of the second piece = 6 - 4 = 2 mm
Volume of the first piece = 6 × 1 × 2= 12[tex]mm^{3}[/tex]
Volume of the entire solid = 12 + 12 = 24 [tex]mm^{3}[/tex]
which of the following terms- radius, chord, diameter , tangent and or secant describes the hypotenuse of a right triangle inscribed in a circle?explain your answer in complete sentences
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Final answer:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
Explanation:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
This can be explained using the Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this case, the hypotenuse of the right triangle represents the diameter of the circle.
For example, if the lengths of the legs of the right triangle are represented by a and b, then the length of the hypotenuse (diameter) represented by c can be calculated as c = √(a² + b²).
The term that describes the hypotenuse of a right triangle inscribed in a circle is the diameter. This is based on Thales' theorem, which states that the hypotenuse of a right triangle inscribed in a semicircle is the diameter of the circle.
Explanation:The hypotenuse of a right triangle inscribed in a circle is described by the term diameter. When a right triangle is inscribed in a circle, the hypotenuse always corresponds to the diameter of that circle. This is because, according to the Thales' theorem, a right angle in a semicircle suggests that the side opposite the right angle of an inscribed triangle (the hypotenuse) must be the diameter of the circle. Furthermore, the relationship between the sides and the hypotenuse of a right triangle is given by the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
what is the slope of PQ is p is (-8,2) and Q is (4,2)
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Help me please! Given the equation 8x=4y+16 generate a plan to rewrite it in slope intercept form
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Make y the subject
4y = 8x - 16
y = 2x - 4
Slope intercept form: y = 2x - 4
Mary's age is 5 times Jose's age. The sum of their ages is 18. How old is each?
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Mary is 15 years old and Jose is 3 years old. This is determined by setting up a system of linear equations based on the relationship of their ages and solving for their individual ages.
Explanation:The question involves solving a system of linear equations to find the ages of Mary and Jose. Let's denote Mary's age as M and Jose's age as J. According to the problem, Mary is five times older than Jose, so we have M = 5J. Additionally, the sum of their ages is 18, which gives us a second equation: M + J = 18.
To solve for both ages, substitute the first equation into the second to get: 5J + J = 18. Combining like terms, we get 6J = 18. Dividing both sides by 6 gives us J = 3. This means Jose is 3 years old. To find Mary's age, we substitute J back into the first equation: M = 5(3), resulting in M = 15, so Mary is 15 years old.
To solve this problem, set up a system of equations where Mary's age is M and Jose's age is J. Use substitution method to solve the system. Mary is 15 years old and Jose is 3 years old.
Explanation:To solve this problem, we can set up a system of equations. Let's assume that Mary's age is M and Jose's age is J. We are given two pieces of information: 1) Mary's age is 5 times Jose's age, so we can write the equation M = 5J, and 2) the sum of their ages is 18, so we can write the equation M + J = 18.
Now we have a system of two equations with two variables:
M = 5JM + J = 18We can solve this system by substitution or elimination. Let's use the substitution method. From equation 1, we know that M = 5J. We can substitute this value of M into equation 2 and solve for J:
5J + J = 18
6J = 18
J = 3
Now that we know J, we can substitute this value into equation 1 to find M:
M = 5(3) = 15
Therefore, Mary is 15 years old and Jose is 3 years old.
The graph of the logarithmic function f(x) = loga(x) passes through the points and . The graph lies the y-axis.
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1) Regarding the function [tex]log_ax[/tex] , its graph always passes through the points (1,0) and (a,1).
That is due to the properties of logarithm function:
a) [tex]log_a1=0[/tex]
b) [tex]log_aa=1[/tex]
That in turn is due to the properties of the exponential functions.
a^0 = 1 and a^1 = a
2) Regarding the y-axis.
The function [tex]log_ax[/tex] will never touch the y-axis, because the logaritm of zero is not defined. So the graph lies to the righ of the y-axis (i.e. the domain of the function is x > 0)
The logarithmic graph for the function loga(x) represents relationships similar to that of a log-log plot such as exponential relationships. Understanding properties of logarithms and principles of graphing can help interpret this function. Unlike linear equations, these graphs have a unique shape that are not straight lines.
Explanation:The graph of the logarithmic function f(x) = loga(x) can be understood using logarithmic properties and graph principles. The log-log plot reveals that logarithmic graphs represent exponential relationships such as the decay of radioactivity or the relationship between light's frequency and wavelength. The logarithmic scale is advantageous in graphing large ranges of values.
There are a few principles to note about logarithms for this. For instance, the logarithm of a number with an exponent is equal to the exponent multiplied by the logarithm of the number. Similarly, the logarithm resulting from dividing two numbers is the difference between the logarithms of the two numbers. These properties can be helpful in interpreting the logarithmic graph.
Our graph, however, is not a straight line as in the case of linear equations which have a uniform slope, a y-intercept and x as the horizontal axis. Logarithmic graphs have unique characteristics determined by the base and the values of x.
Learn more about Logarithmic Functions here:https://brainly.com/question/30139693
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The points plotted below are on the graph of a polynomial. In what range of x-values must the polynomial have a root?
Check all that apply.
A. 3 to 4
B. 5 to 6
C. 0 to 1
D. -1 to -2
E. 2 to 3
F. 1 to 2
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5 gallons buckets of paint for $97.45 of a 1 gallon bucket of pain for $21.95.
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Answer:
old quetstion xd
Step-by-step explanation:
write a word phrase for the algebraic expression 2+-9
A. nine fewer than two times a number t
B. nine more than two times a number t
C. nine fewer than a number t
D. nine more than a number t
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The -9 portion translates to "nine fewer"
The 2t is "two times a number t"
put together, 2t-9 translates to "nine few than two times a number t"
A rectangular prism has a length of 412 millimeters, a width of 412 millimeters, and a height of 6 millimeters. Sally has a storage container for the prism that has a volume of 143 cubic millimeters. What is the difference between the volume of the prism and the volume of the storage container? Enter your answer in the box as a simplified mixed number or a decimal.
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Volume of the prism= 1018464
Then just subtract
Answer:
21.5
Step-by-step explanation:
took test 100% 4.08 Quiz: Finding the Volume of Rectangular Prisms and Problem Solving
The top of a hill rises 77 ft above checkpoint 1. What is the altitude of the top of the hill? Checkpoint 1 is -173 ft above sea level.
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Which expression is equal to 5p? p + p + p + p + p 4p + 1 p + 5 p3 + p2
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Tristan’s fish is 1/2 yard long, 1/6 yard wide, 1/3 yard high. What should the side lengths of each cubic block used to find the volume be?
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1/2 x 1/6 x 1/3= 1/36
The volume is 1/36
Answer:
The answer is 1/6 yard
Step-by-step explanation:
The length, width, and height of a cube are equal. Each cubic block must have the same length, width, and height:
Length of tank= 1/6 yard = 1/6 yard = 3 x 1/6 yard
Height of tank: 2/6 yard = 2 x 1/6 yard
width of tank= 1/6 yard
Because the length and height of the tank are multiples of the width, the length of each cubic block should be equal to the width of the tank:
= 1.6 yard
Someone help pretty please!
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y > (2/3)x + 1
The boundary line is the equation y = (2/3)x + 1 which can be found through the slope formula to get m = 2/3. Then you use one of the two points on the line to find b = 1.
The equal sign in y = (2/3)x + 1 changes to a "greater than" sign to indicate two things
A) The shaded region is above the boundary line
B) The boundary line itself is a dashed line to indicate "no solution points on this line"
URGENT 30 POINTS! Solve. {y=x−75x+2y=7 Use the substitution method.
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5x + 2y = 7 ------ (2)
Sub (1) into (2):
5x + 2(x -7) = 7
5x + 2x - 14 = 7
7x - 14 = 7
7x = 7 + 14
7x = 21
x = 3 ----- -sub into (1)
y = x - 7
y = 3 - 7
y = -4
Ans: x = 3, y = -4
Here is your answer, my good sir, or maiden.
work out 50% of £60
needed asap
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A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number less than 10 is selected? Enter your answer as a fraction, in simplest form, in the box. P(< 10) =
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The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
P=size of the event space/size of the sample space
in this problem
size of the sample=9-------> set. {2, 4, 6, 9, 16, 44, 51, 60, 78}
size of the event space=4---->number less than 10--> {2, 4, 6, 9}
P=4/9
the answer is
P(< 10) = 4/9
3x^2 -9x = 0 Factor and use the zero product property to solve.
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x=3 is correct I believe
3x(x - 3) = 0
x(x - 3) = 0
x = 0 or x - 3 = 0
x = 0 or x = 3
Can someone help me solve number 27?
Answers
90x90=8100
Hope this helps! :)
What will be the location of T in the image trapezoid