Which expression is equivalent to (5x - 4)2?
Answers
Answer:
Step-by-step explanation:
the answer is 25x^2-40x+16
25x^2-40x+16 is equivalent to (5x - 4)^2.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
(5x - 4)^2
we know,
(a-b)^2= a^2-2ab+b^2
by using this, we get,
(5x - 4)^2
=5x*5x-2*5x*4+4*4
=25x^2-40x+16.
Hence, 25x^2-40x+16 is equivalent to (5x - 4)^2.
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Related Questions
In the diagram below, overline AD || overline EH m angle I=54^ and m angle FBC=48^ . Find m angle IGF .
Answers
As line AD is parallel to EH, we can say they're cut by the transversal line BI.
Then, angle FBC and angle IFG are corresponding angles, and they're congruent which means they have the same measure (48°).
The sum of the interior angles of a triangle is 180°, then:
\(\begin{gathered} m\angle I+m\angle IFG+m\angle IGF=180\degree \\ 54\degree+48\degree+m\angle IGF=180\degree \\ m\angle IGF=180\degree-54\degree-48\degree \\ m\angle IGF=78\degree \end{gathered}\)Answer: Angle IGF measures 78°
Find the unit rate.
My aunt jogs 30 miles in 5 hours.
Answers
Answer:6 miles per hour
Step-by-step explanation:
Answer:
6 mph (miles per hour)
Step-by-step explanation:
Unit rate is basically what is the value for one unit. In this case we need to find out how many miles can she run in 1 hour.
To do that you just divide 30 ÷ 5 = 6
So she runs 6 miles per hour.
Hope that helps and have a great day!
Help pls this test is timed and I have been doing it sine 8:00 Florida time!!!!!!!!! It’s the m and q question thanks
Answers
Answer: A.
Step-by-step explanation: Because a solid can go from a liquid to a gas and if you think of ice, Ice starts as a solid then when it melts it turns into a liquid the when the liquid evaporates it turns to a gas. Hope this helped
Question 24 O Mark this question For the data plotted in the scatterplot, the r2 value was calculated to be 0.9846. Yearly Income Vs. Age Yearly income (in thousand dollars) 0 15 20 25 30 35 40 45 50 55 60 65 70 Age Which of the following sets of statements is true? 98.5% of the variation in age is explained by a nonlinear relationship with yearly income. The correlation coefficient, r, is 0.969. 98.5% of the variation in age is explained by a linear relationship with yearly income. The correlation coefficient, r, is 0.969. 98.5% of the variation in yearly income is explained by a linear relationship with age. The correlation coefficient, r, is 0.992 98.5% of the variation in yearly income is explained by a nonlinear relationship with age. The correlation coefficient, r, is 0.992.
Answers
The correct statement is: 98.5% of the variation in age is explained by a linear relationship with yearly income. The correlation coefficient, r, is 0.969.
The r2 value of 0.9846 means that approximately 98.5% of the variability in age can be explained by the linear relationship with yearly income. Since the r2 value is the square of the correlation coefficient, r, we can find r by taking the square root of 0.9846, which gives us approximately 0.969. Therefore, the correct statement is that the correlation coefficient, r, is 0.969.
The other options are incorrect because they either mix up the variables (e.g., stating that the variation in income is explained by age) or introduce information that is not supported by the given r2 value (e.g., stating that the relationship is nonlinear).
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Find the distance travelled by sibi if she takes three rounds of square garden of side 60m
Answers
Answer:
720m
Step-by-step explanation:
60×4 = 240
240×3 = 720
The perimeter of a square with a side length of 60 meters is:
4 x 60m = 240m
Therefore, the distance Sibi travels in one round is 240 meters, and for three rounds, she would travel:
240m x 3 = 720m
So, Sibi travels a distance of 720 meters if she takes three rounds of a square garden with a side length of 60 meters.
in 1980, the population of a city was 5.2 million. by 1992 the population had grown to 7.6 million. type the rate at which the population of the city was growing as an integer or reduced fraction. million per year
Answers
The rate at which the population of the city was growing was an average of 1.5 million people per year, which can be expressed as an integer or reduced fraction as 3/2.
To break this down further, this means that the city's population was increasing by an average of 416,666 people each month or 14,053 people each day.
This is an impressive rate of growth, especially when considering that the city was already quite large at 5.2 million people. This growth can be attributed to a number of factors, including high levels of immigration, a strong economy, and a booming job market.
Moreover, the growth in population can be seen as a testament to the city's quality of life and its ability to attract new residents.
The population of the city in 1980 was 5.2 million and by 1992 it had grown to 7.6 million. This shows that the rate at which the population of the city was growing was an average of 1.5 million people per year, which can be expressed as an integer or reduced fraction as 3/2.
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Given the expression: 3x¹0 - 48x²
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
B. 3x^2(x^4+4)(x^4-4) = 3x^2(x^4+4)(x^2+2)(x^-2)
PLEASE HURRY I HAVE TO FINISH THIS TODAY
Which of the following apply to a isosceles trapezoid?
I it will have a midsegment.
II The base angles are congruent.
III The same side interior angles are complementary.
Answers
Answer:
II
Step-by-step explanation:
The base angles of an isosceles trapezoid are congruent.
Also, if you could label this brainliest that would be a great help!
Thanks xx
-Dante
HELP PLEASE
18 miles= how many feet
_________feet
Answers
Answer:
18 miles= how many feet
____95,040_____feet
Step-by-step explanation:
happy to help ya:)
Given that z is a standard normal random variable, compute the following probabilities. calculate P(1
Answers
You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).
To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.
The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.
Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:
P(1 < z < 2) = Φ(2) - Φ(1)
To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.
But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).
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what is the sum of the interior angles of a polygon that has 19 sides?
Answers
Answer:
Around 3060.
Step-by-step explanation:
The exact answer would be 3059.95
LeashTYPE 1TYPE 273DogLadder20 ft19.5 ftThe end of a dog's leash is attachedDon placed a ladder againstto the top of a 5-foot-tall fence post,the side of his house asas shown in the diagram below. Theshown in the diagramdog is 7 feet away from the base ofbelow. Write an equation tothe fence post. How long is thefind the distance, x, fromleash, to the nearest tenth of a foot.the foot of the ladder to thebase of the house.WHAT IS THE DIRERENCESolve the equation for x,BETWEEN TYPE 1 AND TYPE 2?round to the nearesthundredth of a foot.BREAKOUTROOMSх
Answers
Type 1
this is a right triangle, the we can apply pythagoras
\(a^2+b^2=h^2\)where a and b are sides and h the hypotenuse on this case L(leash)
replacing
\(5^2+7^2=L^2\)simplify
\(\begin{gathered} 25+49=L^2 \\ 74=L^2 \end{gathered}\)now solve for L
\(L=\sqrt[]{74}\approx8.6\)The leash is 8.6ft
Type 2
we have a right triangle too
on this case the missing number is a side, not hypotenuse
remember pythagoras
\(a^2+b^2=h^2\)and replace for this case
\(x^2+19.5^2=20^2\)simplify
\(\begin{gathered} x^2+380.25=400 \\ \end{gathered}\)and solve for x
\(\begin{gathered} x^2=19.75 \\ x=\sqrt[]{19.75}\approx4.44 \\ \end{gathered}\)then le length of the side x is 4.44ft
I NEED HELP IMMEDIATELY!!
One shake and two taco supremes provide 2830 calories. Two shakes and one taco supreme provide 2540 calories. Find the caloric content of each item. One shake contains calories.
Answers
Answer:
We can set up a system of equations using the information given:
x + 2y = 2830 (equation 1)
2x + y = 2540 (equation 2)
where x is the number of calories in one shake and y is the number of calories in one taco supreme.
We can use either equation to solve for one of the variables and then substitute that into the other equation.
From equation (1), x = 2830 - 2y
And substituting this into equation (2) we get
2(2830-2y) + y = 2540
Now we can solve for y.
5,660 - 4y + y = 2540
-3y = -3120
y = 1040
So, one taco supreme contains 1040 calories.
And substituting this value of y back into equation (1) we can find the number of calories in one shake:
x + 2(1040) = 2830
x = 550
So, one shake contains 550 calories.
El volumen de un prisma de base rectangular es 24 m3. Si el largo de la base es 2,5 m y su ancho es 4 m, ¿cuál es la altura del prisma?
Answers
Answer:
La altura del prisma es 2,4 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
Entonces:
volumen= longitud*ancho*altura
En este caso, los datos conocidos son:
volumen= 24 m³longitud= largo de la base= 2,5 mancho= 4 maltura= ?Reemplazando:
24 m³= 2,5 m* 4 m* altura
Resolviendo:
\(altura=\frac{24 m^{3} }{2,5 m*4m}\)
\(altura=\frac{24 m^{3} }{10 m^{2} }\)
altura= 2,4 m
La altura del prisma es 2,4 m.
GUYS PLEASE HELP ME ILL MARK BRIANLIEST AND GIVE EXTRA POINTS I NEED IT ASAP
1. The sum of a number and 81 is greater than the product of 3 and that number. What are the possible values for the number?
2. Which is NOT a solution of the inequality LaTeX: 5-2x≥-3 (A) 0 (B) 2 (C) 4 (D) 5
3. Write the following statement as an inequality: 8 less than a number w is under 35.
4. Solve for t: 3-4t<19 5. Jason is saving up to buy a new phone that costs $490 (I wish they were still this cheap). So far, he's saved $175. He would like to buy the camera no later than 3 weeks from now. What is the inequality used to represent how much he must save every week to have enough money to purchase the camera? (hint: when the wording is tricky, as it is in this problem, solve the problem as if it were an equation. That is to say, as if Jason was trying to save the money in exactly 3 weeks. Then decide on the sign that makes most sense).
Answers
Q1
\(n > \frac{81}{2} \)
Q2 D
sry I don't hv time to ans more
The table shows several points for function h(x). A 2-column table with 6 rows. Column 1 is labeled x with entries 0, 3, 6, 9, 12, 15. Column 2 is labeled h (X) with entries 1, 6, 12, 2, 8, 9. Which point is on the graph of the inverse function h–1(x)?
Answers
Answer:
it is B.
Step-by-step explanation:
Took the test on e2020
Answer:
B
Step-by-step explanation:
Ed2021
help please!! <3
Giving brainliest!
Answers
Answer:
D) x-int (-3,0), y-int (0,2)
Step-by-step explanation:
x-intercept is where the line crosses the x-axis
y-intercept is where the line crosses the y-axis
From inspection of the graph,
x-intercept = (-3, 0)
y-intercept = (0, 2)
I need help ASAP Pleae!!!
Jesse planned to drive a distance of 732 miles in 4 days. What is the average distance he planned to drive each day?
A between 50 and 100 miles
B between 100 and 150 miles
C between 150 and 200 miles
D between 200 and 250 miles
Answers
Answer:
C. between 150 and 200 miles
Step-by-step explanation:
To find the average, we need to divide 732 by 4 to get 183. Since 183 is between the numbers 150 and 200, C is the answer to the question.
4. the highest point on the graph of the normal density curve is located at a) an inflection point b) its mean c) μ σ d) μ 3σ
Answers
The highest point on the graph of the normal density curve is located at its mean represented by μ.
The highest point on the graph of the normal density curve is located at its mean. The normal density curve or the normal distribution is a bell-shaped curve that is symmetric about its mean. The mean of a normal distribution is the measure of the central location of its data and it is represented by μ. It is also the balancing point of the distribution. In a normal distribution, the standard deviation (σ) is the measure of how spread out the data is from its mean.
It is the square root of the variance and it determines the shape of the normal distribution. The normal distribution is an important probability distribution used in statistics because of its properties. It is commonly used to represent real-life variables such as height, weight, IQ scores, and test scores.
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find area and perimeter of the shape below ***SHOW ALL WORK***
Answers
Answer:
Here it is :)
Step-by-step explanation:
if this is incorrect, correct me and explain why so you won’t make this mistake I made when you do this on you own!
¡cuantas unidades se deben producir para que el costo sea el más bajo posible?
\(c(x)=800-10x+0.25x^{2}\)
Answers
Primero, encontramos la derivada de la función de costo:
c'(x) = -10 + 0.5x
Luego, encontramos el valor de x que hace que la derivada sea igual a cero para encontrar un punto crítico:
c'(x) = -10 + 0.5x = 0
x = 20
Usando la segunda derivada de la función de costo, comprobamos que este punto crítico es un mínimo:
c''(x) = 0.5 > 0
Por lo tanto, la cantidad de unidades que se deben producir para que el costo sea el más bajo posible es de 20 unidades.
Answer the problem below
Answers
The volume of the given square pyramid is 192 units².
Given pyramid is a square pyramid because it is having both width and length is equal.
The base of the given square pyramid b = 8 units
The height of the given square pyramid h = 9 units
We know that the volume of the square pyramid V = 1/3 x b² x h
Volume of the given square pyramid V = 1/3 x b² x h
= 1/3 x 8² x 9
= 192 units²
From the above analysis, we can conclude that the volume of the given square pyramid is 192 units².
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original cost $98 current cost $89 find the percent of decrease round to the nearest whole percent
Answers
Answer:
87.22 hopee helps
Step-by-step explanation:
If the cost of a raffle ticket was 2$ , which of the following expressions could be used to represent the cost of m tickets
Answers
The expression that represents the cost of m tickets is simply 2m.
How to Write an Algebraic Expression?To write an algebraic expression, follow these steps:
Identify the variables: Determine the quantity or quantities that are changing or unknown, and assign a variable to represent them. Common variables are x, y, a, b, and c.Define the operations: Determine what operations need to be performed on the variables. Common operations include addition (+), subtraction (-), multiplication (*), division (/), exponentiation (^), and parentheses.Write the expression: Combine the variables and operations to form the algebraic expression.If the cost of a single raffle ticket is $2, then the cost of m tickets would be:
2m
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are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
Answers
Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
What is Adjacent angles?The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.
Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
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A parallelogram has height 9cm and area 45cm? What
is the length of its base?
Answers
Answer: Firstly the area of parallelogram is. = b×h. so value of base is 9cm and height is 45cm . So area is equal to. base×height. = 9×45= 405² cm.
405cm²
Square A is a Dilation of Square B. What is thescale factor of the squares? (remember to donew/old)A.) 7B.) 4/5C.) 1/7D.) 5/4
Answers
Let x be the dilation factor, then we can write
\(28x=35\)If we move 28 to the right hand side, we get
\(\begin{gathered} x=\frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ \text{then} \\ x=\frac{5}{4} \end{gathered}\)therefore, the answer is option D
what value of z* should be used to construct a 90% confidence interval of a population mean? answer choices are rounded to the hundredths place. a.) 1.65 b.) 2.58 c.) 1.28 d.) 1.96
Answers
The value of z* that should be used to construct a 90% confidence interval of a population mean is 1.65.
The value of z* that should be used to construct a 90% confidence interval of a population mean depends on the level of significance or alpha (α) we choose.
Since we want to construct a 90% confidence interval, the level of significance or alpha (α) can be calculated as:
α = 1 - confidence level = 1 - 0.9 = 0.1
We divide alpha (0.1) equally among the two tails of the standard normal distribution to get the critical value, which is denoted by z*. We can find z* by using a standard normal distribution table.
For a two-tailed test with a 0.1 level of significance, the critical value z* can be found as follows:
z* = 1 - (0.1 / 2) = 0.95
Using a standard normal distribution table, we find that the z-score corresponding to 0.95 is 1.645, rounded to the hundredth place.
Therefore, the answer is a.) 1.65.
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c) 2×x×3×y
im just typing now bc it says i need 20 characters but yh
Answers
Answer:
the answer is 6xy , hopefully that helped you
Answer:
2x^9 x
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x3" was replaced by "x^3".
STEP 1 :
Multiplying exponential expressions :
1.1 x4 multiplied by x3 = x(4 + 3) = x7
The Equation at the end of step 1 :
((2x7 • x) • x) • y
STEP 2: Final result :
2x^9 y
Hope this helps!
Brain-List?
how have the lines been transformed? Line B is ___, ___, and shifted ___.
Answers
A line is said to be flat when it has a small slope, while a line is said to be steep when it has a large slope.
Let's find the slope of both lines.
Apply the slope formula:
\(m=\frac{y2-y1}{x2-x1}\)• Slope of line A
Take the points:
(x1, y1) ==> (-1, 1)
(x2, y2) ==> (-2, 4)
\(m=\frac{4-1}{-2-(-1)}=\frac{4-1}{-2+1}=\frac{3}{-1}=-3\)• Slope of line B
Take the points:
(x1, y1) ==> (4, -1)
(x2, y2) ==> (0, -1)
\(m=\frac{-1-(-1)}{4-0}=\frac{-1+1}{4-0}=\frac{0}{4}=0\)The slope of line A is -3( negative slope)
The slope of line B is 0
The greater the slope, the steeper the line.
• Since line B has a greater slope than line A, we can say it is steeper.
,• Also since Line B is a horizontal line, it is flatter than line A
,• The slope of a horizontal line is greater than the slope of a line with a neagtive slope, we can say that line B shifted upward
Thus, we can say:
Line B is flatter, horizontal and shifted upward
ANSWER:
Line B is flatter, horizontal, and shifted upward