x² + 6.25x + 4.5x + 28.125, this expression represents the area the 2 pieces of construction paper will cover.
What is the quadratic equation?
A quadratic equation is any equation in algebra that can be rearranged in standard form as where x represents an unknown value and a, b, and c represent known numbers, with a 0.
We have,
Amelia has 2 sheets of construction paper with length x centimeters.
One piece of construction paper has a width of x+4.5 centimeters, and the other has a width of x+6.25 centimeters.
expression to represent the area the 2 pieces of construction paper will cover.
To find the area(A) of a paper:
multiply its height by its width:
A = (x + 4.5) * (x + 6.25)
A = x² + 6.25x + 4.5x + (4.5) * (6.25)
A = x² + 6.25x + 4.5x + 28.125
hence, x² + 6.25x + 4.5x + 28.125, this expression represents the area the 2 pieces of construction paper will cover.
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Diego and Luke weigh a combined 95 pounds. If Diego weighs 1.5 times as much as Luke does, how much does Luke weigh, in
pounds?
Answer:
38 pound
STEP BY STEP
For which of the following are x=4 and x=-4 solutions?
Answer:
2x2 - 5x - 12 = 0.
(2x + 3)(x - 4) = 0.
2x + 3 = 0 or x - 4 = 0.
x = -3/2, or x = 4. I hope this helps
Step-by-step explanation:
Which of the following equations, represents the line with a slope of 2/3 and a y-intercept of 9?
1) y = 3/2x-9
2) y = 3/2x + 9
3) y = 2/3x = 9
4) y = 2/3x + 9
Step-by-step explanation:
Equation of line:
[tex]y = mx + c[/tex]
where m is the slope
and c is the y-intercept
given the information from the question,
m = 2/3 , c = 9
substituting the values in,
equation of the line is
[tex]y = \frac{2}{3} x + 9[/tex]
please help and i’ll gift brainly!!!! thank you!
find the area 36in 40in 50°
Answer:
770in2
please brain or heart me im about to level up
Look at the picture, for the problem
Step-by-step explanation:
frist ordering the data
4,4,4,5,6,7,7,7,10,11 then
3. the most common ages are 4& 7
4. the range = high - low so 11 - 4 =7
5.the median is Nth/2 + Nth/2 +1 then
10th/2 +10th/2 +1
(5th +6th)/2 = median
(6 +7)/2 =13/2 = 6.5 is the median of children
I need to help me with this problem I'm not sure what I'm supposed to do.
Consider a point with rectangular coordinates (x,y).
If x<0 then the polar coordinates of the point are (r,θ) where r≥0 and −π/2≤θ<3π/2and:
r=
θ=
If x≥0 then the polar coordinates of the point are (r,θ) where r≥0 and −π/2≤θ<3π/2 and:
r=
θ=
Answer:
1.24
Step-by-step explanation:
i subtracted 1-1
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answer:
-48/24 simplified version is -2
Step-by-step explanation:
Answer:
-60
Step-by-step explanation:
-8×5 = -40
-40/4 = -10
-10×6 = -60
A group of friends wants to go to the amusement park. They have no more than $160
to spend on parking and admission. Parking is $8, and tickets cost $38 per person,
including tax. Write and solve an inequality which can be used to determine p, the
number of people who can go to the amusement park.
Answer:
I tried figuring out this problem but it is a tad confusing. sorry :/
Step-by-step explanation:
24 TIMES 11 I HAVE A TEST SEND HELP
Answer:
24 multiplied by 11 equals 264.
Step-by-step explanation:
24 x 11= 264
Answer:
264
Step-by-step explanation:
21 X 11 = 264
How can 5 children share 3 cookies equally?
Please help I’ll mark you as brainliest if correct!
Answer:
45 matches up in enough hours yes so G!
The answer is g!
Step-by-step explanation:
Hope i helped! Your welcome!
Answer:
G beacuse thats the only one that matches the data given
Step-by-step explanation:
How to Split 2 loaves of bread equally between 7 people
Answer:
I would divide each loaf into 4 pieces, which gives eight. There would be one piece left over.
Step-by-step explanation:
sinθ+cotθ×cosθ=cscθ
Answer:
Step-by-step explanation:
[tex]\sin \theta+\cot \theta\cos \theta=\sin \theta+\displaystyle \frac{\cos \theta}{\sin \theta}\cos \theta=\frac{\sin^2 \theta+\cos ^2 \theta}{\sin \theta}=\\\frac{1}{\sin \theta}=\csc \theta[/tex]
Compute z-score. Given ~ n(12,2.5),find z score when x =17
Answer:
The desired z-score is 2.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n(12,2.5)
This means that [tex]\mu = 12, \sigma = 2.5[/tex]
z score when x =17
This is Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 12}{2.5}[/tex]
[tex]Z = 2[/tex]
The desired z-score is 2.
You borrowed 43,800 at a SIMPLE interest rate of 4.8%. If you pay it back in 2 years, how much
Interest is paid pack?
Answer:
I = $4204.8
Step-by-step explanation:
Given that,
Principal, P = $43,800
Interest rate = 4.8%
Rate = 2 years
We need to find the interest that is paid back. We know that, simple interest is given by :
[tex]I=\dfrac{PRT}{100}[/tex]
Put all the values,
[tex]I=\dfrac{43800\times 4.8\times 2}{100}\\\\=\$4204.8[/tex]
So, the required interest is equal to $4204.8 .
Hey everyone it is math pleased help me it is due today
Answer:
93 in²Step-by-step explanation:
Given triangular prism with:
a = 1.5 in, b = 2 in, c = 2.5 in, l = 15 inTotal surface area is:
A = Pl + 2B, where P is the perimeter of base, B is area of baseConsidering all given values we have:
A = (1.5 + 2 + 2.5)*15 + 2*(1/2*1.5*2) = 93 in²Which of these is a set of inputs and outputs for the function f(x) = 2x + 4
A
(1,2), (2,5), (3,8)
B.
(1,4), (2,6), (3,7)
С
(1,5), (1,8), (1, 10)
D
(1,6), (2,8), (3, 10)
Answer:
D
Step-by-step explanation:
Plug in the x values to get the y values
The ‘peak’ of a transverse wave is call the
Answer:
λ
Step-by-step explanation:
Can someone help me pls
Answer:
I’m not sure what the question is asking, the picture is blurry, Nassiya.
Step-by-step explanation:
Please someone help me (NO LINKS) (NO LYING) PART 2
Answer: 7 = 12. 8 = 20. 9: 30 10 = 12. 11 = 24 12 = 15.
Step-by-step explanation:
Hope this helps :D I'm pretty sure they are all right if there not I'm sorry I tried
The PTA at Central High School is concerned that students who graduate from the school do not score well on mathematics achievement tests, on average, as to students from other schools in the district. The mean score for students in the larger school district is 98. The school principal randomly selects 15 students from the graduating class and administers the standardized mathematics achievement test. The scores of the 15 students from Central High are as follows:
105, 98, 101, 110, 96, 103, 104, 101, 98, 105, 112, 95, 105, 100, 108
(a) Formally state the hypothesis necessary to conduct a non-directional test.
(b) Complete the test at the 05 level of significance, and state your conclusions in English.
(c) Construct and interpret the 95% confidence interval around the sample mean.
(d) Compute the effect size Hedge's g
Answer:
Step-by-step explanation:
Sample scores : 105, 98, 101, 110, 96, 103, 104, 101, 98, 105, 112, 95, 105, 100, 108
Sample mean, xbar = 102.73
Standard deviation, s = 4.98
H0: μ = 98ttt
H1 : μ ≠ 98
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(102.73 - 98) ÷ 4.98 / sqrt(15)
t = 3.655
Pvalue from t score = 0.002599
When. Pvalue < α ; We reject the Null
We can conclude that significant evidence exists that average performance of students is not
Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)
Answer:
Step-by-step explanation:
Remark
This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.
Equation
(f - g)x = f(x) - g(x)
Solution
(f - g)x = 9 - x - (3 - x) remove the brackets
(f - g)x = 9 - x - 3 + x
(f - g)x = 6
A bag contains 40 colored tiles. There are 12 red, 17 blue, 8 yellow and 3 green. One tile is drawn at
random. Which color is likely to be chosen? Pls help
A.red
B.green
C.yellow
D.blue
A group of students were asked the kinds of pets they owned. The data is
represented in the graph below.
Type of Pets
11.1:
Cat Dog Bird Horse
Hamster Other
Formulas
Which statement below does NOT accurately describe the data represented in the graph?
A)
More than 50% of students surveyed own a cat or dog.
Highlight
Time
Remaining
00:19:05
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B)
20% of students surveyed have a hamster.
C)
The mode of the data is cat.
D)
Just over 10% of students have a bird.
?
Answer:
D) Just over 10% of students have a bird.?
The area of an 15cm wide rectangle is 360 cm^2 what is the length
help please and show the steps
9514 1404 393
Answer:
(a) 12∠0.1
(b) 3∠-0.1
(c) (1/3)∠-0.1
Step-by-step explanation:
In this answer, we will use the notation r∠φ to identify the "r-part" and the "φ-part" of your polar-form complex numbers.
Given: z = 3∠0.1
(a) 4z = 12∠0.1 . . . . . the r-part is multiplied by the scalar
(b) z* = 3∠-0.1 . . . . . the conjugate is formed by negating the angle
(c) 1/z = (1/3)∠-0.1 . . . . the reciprocal inverts the magnitude and negates the angle.
Use 120 + 20 + M = 180 and A = 1/2bh f
Answer:
Step-by-step explanation:
Answer 1
Answer = 40 degreesAnswer 2
Area = 1/2 * 6 * 11
=> 33 unitsMark as brainliest for further answers :)
13 help help help help help help 13 points
Answer:
perpendicular set- Line C and D
parrelel- line B and D
Step-by-step explanation:
An absolute value function would fail what kind of test? *
the horizontal line test
the vertical line test
the regression formula test
the exponential formula test
Answer:
The horizontal line test.
Step-by-step explanation:
If you do the test, the horizontal line will intersect at 2 points.