Answer:
z=15
Step-by-step explanation:
45 = 3z Because there are three z's, equal to one 45.
45 = 3z
z = 15
Answer:
B. 45 = 3x
x = 15
Step-by-step explanation:
3 triangles worth "z" value each, is equal to 1 square equivalent to 45 in value. This means that 3z = 45. This means that z = 15, becuase, 3 * 15 = 45.
what 21•92+10.
100 points if you answer
Answer:
1942Step-by-step explanation:
Since their is multiplication and addition you need to remember the order of operations. Also remember that the dot · is another multiplication symbol.
\(21*92=1932\)
Now add 10
\(1932+10=1942\)
1942 is the final answer
NEED THE ANSWERS FAST PLEASE
In Exercises 13 and 14, find a possible pair of integer values for a and c so that
the quadratic equation has the given number and type of solution(s). Then write
the equation.
13. ax² − 3x + c = 0; two real solutions
-
14. ax² + 10x + c = 0; two imaginary solutions
15. Determine the number and type of solutions to the equation 2x² - 8x = -15.
A. two real solutions
B. one real solution
C. two imaginary solutions
D. one imaginary solution
In Exercises 16 and 17, use the Quadratic Formula to write a quadratic equation
that has the given solutions.
16. x
10 ± √√-68
14
17. x =
-3±i√√7
8
In Exercises 18-21, solve the quadratic equation using the Quadratic Formula.
Then solve the equation using another method. Which method do you prefer?
Explain.
18. 7x² + 7 = 14x
20. x² + 2 = -x
19. x² + 20x = 8
21. 8x² - 48x + 64 = 0
22. The quadratic equation x² + x + c = 0 has two imaginary solutions. Show that
the constant c must be greater than 1.
Answer:
Step-by-step explanation:
the degree of a polynomial determines 1:1 the number of solutions.
a quadratic equation (degree 2) has 2 solutions.
the general solution is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -4
b = -4
c = -1
so,
x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)
when we look at the square root
16 - 16
we see that it is 0.
the square root of 0 is 0, and there is no difference between -0 and +0.
so, we get only one (real) solution : 4/-8 = -1/2
but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.
so, I am not sure what your teacher wants to see in this case as answer.
my answer would be 2 real identical solutions. did this help?
Help me pleaseeeeee!
Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn
In algebra, what is a rectangle?A rectangle is a type οf quadrilateral that has its parallel sides equal tο each οther and all the fοur vertices are equal tο 90 degrees. Hence, it is alsο called an equiangular quadrilateral. Since, the οppοsite sides are equal and parallel, in rectangle, therefοre, it can alsο be termed as a parallelοgram.
Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn
check the attachment given belοw tο understand.
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In circle O. AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25° B с F D E What is the measure of BC ? 090 O 110 O 100 O 80
Answer:
100°
Step-by-step explanation:
the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).
and the sum of the arc angles AB + BC + CD covers the whole 180°.
so, we have
180 = 55 + BC + 25
180 = 80 + BC
BC = 100°
Figure A is similar to Figure B. What must always be true?
a.
The corresponding side lengths of A and B are proportional.
c.
The corresponding side lengths of A and B are equal.
b.
The corresponding side lengths of A are twice the corresponding side lengths of B.
d.
The corresponding side lengths of A are half the corresponding side lengths of B.
Option (a) is the correct answer. When two figures are similar, it means they have the same shape but different sizes.
How to solve the question?
In other words, their corresponding angles are congruent, and their corresponding side lengths are proportional.
Option (b) and (d) suggest that the corresponding side lengths of A and B are related by a constant factor (either 2 or 1/2). However, this is not necessarily true for all similar figures. The constant of proportionality can be any positive real number.
Option (c) suggests that the corresponding side lengths of A and B are equal, which means that A and B are not just similar but congruent. This is not necessarily true for all similar figures, as similar figures can differ in size.
Therefore, option (a) is the only answer that must always be true for similar figures. The corresponding side lengths of similar figures are proportional, which means that if one side of figure A is twice as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 2:1. Similarly, if one side of figure A is three times as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 3:1. This proportional relationship holds true for all pairs of corresponding sides in similar figures
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Option (a) is the correct answer. The corresponding side lengths of A and B are proportional, must always be true if Figure A is similar to Figure B.
How to find if the figure is similar?When two figures are similar, their corresponding angles are congruent, and their corresponding side lengths are proportional. This means that if we take any two corresponding sides of the figures, the ratio of their lengths will be the same for all pairs of corresponding sides.
Option b and d cannot be true, as they both suggest a specific ratio of corresponding side lengths, which is not necessarily true for all similar figures.
Option c is not necessarily true, as two similar figures can have corresponding side lengths that are not equal but still have the same ratio.
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Can someone help me on 3-6?
Directions: Find the volume of each figure. Round the nearest hundredth.
Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;
1. 2144.57 m³
2. 696.6 m³
3. 20569.1m³
4. 2637ft³
5. 56.5km³
6. 6381.79 in³
What is volume of sphere?The volume of a sphere is given as 4/3πr³
Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.
1. The volume of the sphere is;
v = 4/3 * 3.14 * 8³ = 2144.57m³
2. The volume of the sphere is;
v = 4/3 * 3.14 * (11/2)³ = 696.6m³
3. The volume of the sphere is;
v = 4/3 * 3.14 * 17³ = 20569.1m³
4. The volume of the hemisphere is;
v = 2/3 * 3.14 * 10.8³ = 2637ft³
5. The volume of the hemisphere is;
v = 2/3 * 3.14 * 3³ = 56.5km³
6. The volume of the hemisphere is;
v = 2/3 * 3.14 * (29/2)³ = 6381.79in³
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This is Colby’s solution for the equation x^2-4x-5=0:
x^2-4x-5=0
x^2-4x=5
x^2-4x+4=5+4
(x+2)^2=9
x-2=9
x=11
x-2=-9
x=-7
Looking at Colby’s wok, explain where his answer is incorrect and how to correct it.
Answer:
See below
Step-by-step explanation:
Colby made a mistake in the 4th line of his work, where he reduced the trinomial \(x^2-4x+4\) into \((x+2)^2\) instead of reducing it to \((x-2)^2\). He also did not square root both sides of the equation afterward before he made two seperate equations, leading to incorrect answers.
Continuing on from where Colby made his first mistake, this is how you would correctly solve the rest of the problem:
\((x-2)^2=9\\\\x-2=3\\\\x=5\\\\x-2=-3\\\\x=-1\)
Is 10m equal to 100cm
Answer:
yes
Step-by-step explanation:
I have more question then this one
Match the later drop-down
1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.
2 The expression 3ˣ⁺¹=3 is matched with graph C.
3) The expression 4ˣ = 3 is matched with graph
4 ) The expression 1ˣ/4 = 3 is matched with graph
What is the explanation for the above?1) The graph of the expression 2⁻ˣ⁺³ = 3 represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).
2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.
3) The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.
4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.
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rationalize i)✓2 by✓3
ii)5✓2 by2✓3
iii)15 by ✓5
iv)✓5 by 5✓6
plz solve in notebook
Step-by-step explanation:
\(i) \frac{ \sqrt{2} }{ \sqrt{3} } \)
\( \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{ 3} } \)
\( \frac{ \sqrt{6} }{3} \)
\(ii) \frac{5 \sqrt{2} }{2 \sqrt{3} } \)
\( \frac{5\sqrt{2} }{ 2\sqrt{3} } \)
\( \frac{5 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \)
\( \frac{5 \sqrt{6} }{6} \)
\( iii)\frac{15}{ \sqrt{5} } \)
\( \frac{15}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \)
\( \frac{15 \sqrt{5} }{5} \)
\(3 \sqrt{5} \)
\( iv)\frac{ \sqrt{5} }{5 \sqrt{6} } \)
\( \frac{ \sqrt{5} }{ 5\sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } \)
\( \frac{ \sqrt{30} }{ 30} \)
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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Help me pls and pls show work
Answer:
if you need it as improper then 25/12
Step-by-step explanation:
WILL GIVE BRAINLIEST- In the figure below, m
Answer:
JKL
Step-by-step explanation:
where is the problem
Original price of an SUV: $34,400.00
Discount: 25%
Step-by-step explanation:
Step 1- convert 25% into a decimal
Step 2- Multiply 34,400.00 x 0.25
Which should give you $8600.00
Step 3- Then subtract 34,400.00 from 8600.00
Which will give you $25800.0
The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.
Hope This Helps !!
You are looking for summer work to help pay for college expenses. Your neighbor is interested in hiring you to do yard work and other odd jobs. You tell them that you can start right away and will work all day July 1 for 3 cents. This gets your neighbor's attention, but they is wondering if there is a catch. You tell them that you will work July 2 for 9 cents, July 3 for 27 cents, July 4 for 81 cents, and so on for every day in the month of July. Which equation will help you determine how much money you will make in July?
Answer:
y=3^x
Explanation:
The expected payments (in cents) beginning from July 1 are given below:
\(3,9,27,81,\cdots\)Observing the payments for each subsequent day, we see that the payment for the previous day was multiplied by 3.
We can rewrite the payment as a power of 3 as follows:
\(3^1,3^2,3^3,3^4,\cdots\)Therefore, the equation will help you determine how much money you will make in July will be:
\(y=3^x\)The first option is correct.
How many pounds are in 1 1/2 pounds and 8 ounces? There are _____ pounds in 1 1/2 pounds and 8 ounces.
Answer:
Hope this helps
Step-by-step explanation:
Since 16 ounces equal 1 pound, we’ll add 16 + 16, which is 32 ounces. For one half of a pound, simply divide the amount of ounces in a pound (16) by half. 16 divided by 2 is 8, so in total your answer would be 40 ounces in 2 1/2 pounds.
Find the next three terms of each geometric sequence.
8.1, -6, 36...
10.3, 15, 75...
12.-5, -20, -80...
In which number is the digit 3 100 times greater than the digit three in the number 2,435? 2,543 3,245 2,345 4,235
Answer:
2345
Step-by-step explanation:
3 x 100 = 300
Warning
There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exan
Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?
The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.
What is data?Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.
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Find the value of x ——
Write Given f(x)=2−4x−−−−−√ and g(x)=−3x, find the following: a. (g∘f)(x) the domain and range of the function using interval notation.
Answer:
If we have two functions g(x) and f(x)
I suppose that the functions here are:
f(x) = 2 - √(4*x)
g(x) = -3*x
First, let's analyze the functions:
g(x) as not any problem for any value of x, so the domain is the set of all the real numbers.
f(x) has a square root on it, and we know that the square root of a negative number is equal to a complex number, so here we can not have negative values of x.
The domain of f is D = x ∈ {0, ∞}
Then (gof)(x) = g(f(x)) = -3*(2 - √(4*x)) = -6 + 3*√(4*x)
We can see that g(x) does not have any problem, and the problems with f(x) remain there, so the domain of the composition is equal to the domain of f(x):
D = x ∈ {0, ∞}
baseball team played 160 regular season games. The ratio of the number of games they won to the number of games they lost what is 3/5. How many games did they lose?
Box measures 32 inches long, 6 inches wide and 8 inches high. What is the diagonal length
of the box?
Answer:
\(2\sqrt{281}\) inches
Step-by-step explanation:
Using the 3D Pythagorean theorem, the diagonal has length \(\sqrt{32^2+6^2+8^2}=2\sqrt{281}\) inches.
Any help please? i cant seem to understand it
The no of people take more than 19 mins are above 50%
1. Break it down: Divide the topic into smaller subtopics or concepts. This can make it easier to understand and digest each piece of information.
2. Research: Look up definitions, explanations, or examples related to the terms or concepts you're trying to understand. This can help clarify any confusion or uncertainty.
3. Take notes: Write down important information, key points, or definitions as you research. This can help you remember and better understand the material.
4. Ask questions: If you're still unsure about certain aspects, don't hesitate to ask for help or clarification from a teacher, tutor, or friend.
5. Practice: Apply what you've learned to related problems or questions. Practicing can help reinforce your understanding
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please help!! i have the domainsbut cant get the first part to each problem!
The domains but cant get the first part to
(f +g)(x) = \(2x^{2} +x\)
(f -g)(x) = \(x\)
(fg)(x) = \(x^{4} + x^{3}\)
\((\frac{f}{g} )(x) = \frac{f(x)}{g(x)}\) = 1/x
Function:
A function is defined as a relation between a set of inputs having one output each.
f(x) = f is the function of x
Example: f(x)=x+5 , f(x) = \(x^{2} + x\)
Addition of two function:
(f +g)(x) = f(x) + g(x)
Subtraction of two function:
(f -g)(x) = f(x) - g(x)
Product of function:
(fg)(x) = f(x) * g(x)
Division of function:
\((\frac{f}{g} )(x) = \frac{f(x)}{g(x)}\)
According to question,
given,
f(x) = \(x^{2} + x\) and g(x) = \(x^{2}\)
1. (f +g)(x) = f(x) + g(x)
= \(x^{2} + x\) + \(x^{2}\)
= \(2x^{2} +x\)
2. (f -g)(x) = f(x) - g(x)
= \(x^{2} + x\) - \(x^{2}\)
= \(x\)
3. (fg)(x) = f(x) * g(x)
= ( \(x^{2} + x\) ) * \(x^{2}\)
= \(x^{4} + x^{3}\)
4. \((\frac{f}{g} )(x) = \frac{f(x)}{g(x)}\)
= ( \(x^{2} + x\) )/ \(x^{2}\)
= 1 + 1/x
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NO LINKS!!
Consider the following equation.
y = x^3 + 5
Test for symmetry. (select all that apply)
1. x-axis symmetry
2. y-axis symmetry
3. origin symmetry
4. no origin symmetry
Graph the equation.
Answer:
4. no origin symmetry-----------------------------
Given function:
y = x³ + 5Graph it first (see attached).
Test the graph for symmetry.
We know the odd degree parent function y = x³ has an origin symmetry, whilst even degree functions may have axis symmetry.
The given function is a translation of cubic function 5 units up so the center of symmetry has translated as well. Therefore correct answer is 4.
Answer:
4. no origin symmetry
Step-by-step explanation:
Functions are symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, −b) on the graph:
f(x, y) = f(x, −y)To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y). If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.
\(\begin{aligned}&\textsf{Given}: \quad &y &= x^3 + 5\\&\textsf{Replace $y$ for $(-y)$}: \quad &-y &= x^3 + 5\\&\textsf{Simplify}: \quad &y &= -x^3 - 5\end{aligned}\)
Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the x-axis.
--------------------------------------------------------------------------------------------------
Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:
f(x, y) = f(-x, y)To determine if a graph is symmetric with respect to the x-axis, replace all the x's with (−x). If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.
\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$}: \quad &y&=(-x)^3+5\\&\textsf{Simplify}: \quad &y&=-x^3+5\end{aligned}\)
Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the y-axis.
--------------------------------------------------------------------------------------------------
Functions are symmetric with respect to the origin if for every point (a, b) on the graph, there is also a point (-a, -b) on the graph:
f(x, y) = f(-x, -y)To determine if a graph is symmetric with respect to the origin, replace all the x's with (−x) and all the y's with (-y). If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the origin.
\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$ and $y$ for $(-y)$}: \quad &(-y)&=(-x)^3+5\\&\textsf{Simplify}: \quad &-y&=-x^3+5\\&&y&=x^3-5\end{aligned}\)
Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the origin.
Find (-21)+(-13)+20.
Answer:
14
Step-by-step explanation:
-21+-13+20=14
This is true because when subtracting negatives by negatives you pretty much add them and then when you add a positive to a negative you are technically removing the negative by the amount you are adding.
In short its kind of like using inverse operation in a way.
Hope this helps and have a nice day
Also may I please have a brainliest!!!
Find the value of x and y in simplified radical form.
x and y have the values 7 and 7√2, respectively.
The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.
We can use this information to determine the values of x and y because the base is specified as being 7.
Let's give the perpendicular side the value of x, and the hypotenuse the value of y.
The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.
Consequently, x = 7.
We can determine that x:y:2x using the ratio of 1:1:2.
When we enter the value of x, we may calculate y:
7:y:√2(7)
Simplifying even more
7:y:7√2
Given that the hypotenuse (y) equals 72, we can write:
y = 7√2
Thus, x and y have the values 7 and 7√2, respectively.
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1. Plot the supply and demand schedule for the blu-ray movie "Frozen."
What is the equilibrium price?
What is the equilibrium quantity?
2. Best Buy decides to charge a price of $30.00 for the movie "Frozen."
What is the quantity demanded?
What is the quantity supplied?
Is this an example of a shortage or surplus?
What would Best Buy do to the price to get it back to equilibrium? _
3. Target decides to charge a price of $10.00 for the movie "Frozen."
What is the quantity demanded?
What is the quantity supplied?
Is this an example of a shortage or surplus?
What would Target do to the price to get it back to equilibrium?
1) the supply and demand schedule for Blue-ray movie "Frozen is attached accordingly.
Equilibrium price and quantity are $20 and 40 units respectively.
2) At a price of $30, quantity demand and supplied are 20 and 60 units respectively
This is an example of supply surplus.
To get the price back to equilibrium, they have to setthe price at $20 /unit
3) at $10 the quantity demand and supplied are 60 units and 20 units respectively.
This is an example of supply shortage.
increasing the price to $20 per unit will help achieve equilibrium.
What is market equilibrium?Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.
Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.
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