Answer:
361 is the correct answer
Find k so that 25x^2+40x+k is the square of a binomial
Final answer:
To find k to make a quadratic expression a perfect square of a binomial, we must compare coefficients and solve equations for a and b. Finally, by substituting the values of a and b, the value of k can be determined as 16.
Explanation:
To find k so that 25x^2 + 40x + k is the square of a binomial, we aim to express 25x^2 + 40x + k as the square of the binomial form (ax + b)^2. Comparing coefficients gives us:
2ab = 40 (from the linear term)
a^2 = 25 (from the quadratic term)
Solving these equations, we find a = 5 and b = 4. Therefore, the value of k is 16.
unscramble each of the clue words.
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each person in Ellen's family drinks 8 1/3 ounces of water. If 5 people are in Ellen's familly., how many ounces of watet do they drink altogethet?
Jackets R us is having a 35% off sale at its outlet store this month.todd is figuring the sale price of a winter jacket normally priced at $89.99.
a. Estimate the sale price. Describe how you found your estimate.
b. calculate the amount that todd will pay for the jacket.
Help me please I want to know the answer
In physics the mass energy equivalence is that the mass of a body is measured by its energy content. This may be written algebraically as E=mc2, where E is energy, m is mass, and c is the speed of light in a vacuum. Transform the equation so that it will be read as a solution for mass, m. Write your answer in a sentence with all the correct labels from above!
when Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what property justifies this manipulation?
8x+3y=7
4x+y=1
Raphael used the Property of Equality to justify his manipulation of the second equation.
Explanation:The property that justifies Raphael's manipulation is the Property of Equality. According to this property, if two expressions are equal, then subtracting or adding the same quantity to both sides of the equation will still give you an equal equation. In this case, Raphael changed the second equation to -8x - 2y = -2 by subtracting 1 from both sides of the equation.
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Blake made and 87 on the first semester of algebra 1 . What score can he make on the second semester if he wants his average to be more than a 90 for both semesters? Answer using complete sentences
In Mathematics, to find the average score which is more than 90 over two semesters when the first semester's score is 87, Blake needs to score more than 93 on his second semester.
Explanation:In Mathematics, specifically algebra, finding an average involves adding up all the values and then dividing by the total number of values. In this case, we're trying to find out the minimum possible score Blake needs in the second semester in order for his total average to be over 90.
Let's denote the score in the second semester as 'x'. Since the average is calculated by (first semester score + second semester score)/2, and since Blake wants his average to be more than 90, we express this as:(87+x)/2 > 90.
We now solve for x: Multiply both sides by 2 to get; 87 + x > 180. Then subtract 87 from both sides to solve for x, which yields; x > 93.
Therefore, Blake needs to score more than 93 in his second semester to have an overall average greater than 90 for both semesters.
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Ivan has 8 marbles. Each marble weighs 1/3 ounce. What is the total weight of the marbles in ounces?
English is spoken as the first or primary language in 78 countries than Farsi is spoken as the first language. Together English and Farsi are spoke as a first language in 130 countries. In how many countries is English spoken as the first language? In how many countries is Farsi spoken as the first language.
Answer:
52
Step-by-step explanation:
130 (total)-78=52
A rectangular park has an area of 64 square yards. If we multiply its length and width by 12, what will be the area of the new rectangle?
Answer:
9216 see explanation
Step-by-step explanation:
area of a rectangle =l×b
let the area and the breadth of the rectangle be x an y respectively
Now
x×y=64cm^2
as we have to multiply the length and breadth both by 12 the new area will be x×y=64×12×12 so the new area would be 9216
Answer:
[tex]\displaystyle 9126\:yd.^2[/tex]
Step-by-step explanation:
Explanation:
[tex]\displaystyle wl = A[/tex]
First, let us list the factours of 64:
[tex]\displaystyle 1, 2, 4, 8, 16, 32, 64[/tex]
Any two factours of 64 would do [two eights would wourk of cource, but the park is not square-shaped]:
[tex]\displaystyle 9126 = [2(12)][32(12)] \\ 9126 = [4(12)][16(12)][/tex]
Either way, you still get the same result. By the way, NO court will ever be one yard, so I never included it, but again, you get the overall idea.
I am joyous to assist you at any time.
Chris visited the local Pizza Shack to purchase one pizza for each member of his Scout Troop. On arrival, he realised that he had mislaid the list he had made of the pizzas that had been requested. He knew that there were 32 people altogether and that all 3 vegetarians in the Troop wanted mushrooms only. He also remembered that the same number of people wanted just the chicken topping as wanted a plain pizza. Alex, a Young Leader, was able to help by recalling that: 12 people requested toppings that included chicken, 10 requested toppings that included pepperoni, 9 requested toppings that included mushroom, 1 person wanted all 3 toppings, 2 wanted chicken and pepperoni only, 2 wanted peperoni and mushroom only. What was the final order that Chris placed at Pizza Shack?
Hello,
Please, see the attached files.
Thanks.
If c(x) = 2x^2 - 4x + 3
17. c(3a)
18. c(b^2)
The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
Answer:
angle 5 and angle 4
Step-by-step explanation:
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ . Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute
[tex] - 30 = 2(x - 97)[/tex]
Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number quadruples every month. He starts out with only 2 guppies, and the function y equals 2 times 4 to the x models the number of guppies he will have after x months. Which graph represents this function?
In this exercise we have to recognize the graphics given in the images and in this way identify which functions are being represented, in this way we have to:
[tex]y = 2 * (4 ^ x)[/tex]
What is the exponential function?The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable (unknown) in the exponent and the real number (greater than zero and different than one) in the base.
So we know that the graphs are of exponential functions and their form is given by:
[tex]y=a^x[/tex]
With this form we have that the function of the graph is:
[tex]y = 2 * (4 ^ x)[/tex]
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The students at Myer Park HS were given information about two linear functions. Function F had an X intercept of eight and a Y intercept of -6. Function G is shown in the graph below. What is the slope of the function with the greater slope.
whats the answer ?????
Which of the numbers 4, 5, or 6 is a solution of x+7>12
If a dozen eggs cost $1.35, what is the unit cost?
Gloria placed 2 apples into each of 14 boxes. Let a represent the total number of apples she had. which represents this situation?
Help me out, my guy!
Which statement describes the solar feature shooting off into space labeled C?
A. An envelope of plasma surrounding the sun
B. A stream of glowing gas that shoots out from the sun in an arch
C. A brief eruption of intense high-energy radiation from the sun's surface
D. A dark spot appearing from time to time on the sun's surface
(There is no subject option for science so I had to use Math sorry.)
X=
A.100
B.120
C.140
Victor and his three friends (4 people all together) are planning to split a pizza. They want to spend at most $5 per person. Find the maximum (at most) cost of the pizza they can order.
what is the answer to this problem
Answer:
350Step-by-step explanation:
The completed problem is
[tex]5 \times 70=5\times 7 \ tens.\\5 \times 70=35 \ tens=350[/tex]
Basically, the process is only about separating tens from units, so basically "tens" represents the zero, that's why we only multiply 5 and 7 digits, and add the zero at the end. It's an easier way to multiply tens.
calculate the interquartile range of the following data set: 36, 54, 49, 39, 41, 48, 50
Answer:
14
Step-by-step explanation:
Simplify 8 over -3 divided by -4 over 9
Answer:
2/3
Step-by-step explanation:
you take the problem and write it down then flip the last fraction and multiply them together.
what rational number between 9.5 and 9.7
Manuel has 13 granola bars to split among 5 people. Express the number of granola bars that each person receives as a quotient and remainder.