Answer:
(5a−3)^2
Step-by-step explanation:
25a^2 - 30a + 9
Factor the expression by grouping. First, the expression needs to be rewritten as 25a^2+pa+qa+9. To find p and q, set up a system to be solved.
p+q=−30
pq=25×9=225
Since pq is positive, p and q have the same sign. Since p+q is negative, p and q are both negative. List all such integer pairs that give product 225.
−1,−225
−3,−75
−5,−45
−9,−25
−15,−15
Calculate the sum for each pair.
−1−225=−226
−3−75=−78
−5−45=−50
−9−25=−34
−15−15=−30
The solution is the pair that gives sum −30.
p=−15
q=−15
Rewrite 25a^2 - 30a + 9 as (25a^2−15a)+(−15a+9).
(25a^2−15a)+(−15a+9)
Factor out 5a in the first and −3 in the second group.
5a(5a−3)−3(5a−3)
Factor out common term 5a−3 by using distributive property.
(5a−3)(5a−3)
Rewrite as a binomial square.
(5a−3)^2
Answer this correctly and I will give brainslist + 10 points from question (:
Answer:
a
Step-by-step explanation:
tamelas school day is 6 3/4 hours. She has seven classes that are 3/4 hour long. How many hours is Tamela not in class while she is at school
A: 1 1/2
B: 5 1/4
C: 6
D: 18 3/4
Answer:
A because 6.75 - 5.25 is 1.5
分
타
Sin Of = f (m + You
3
Answer:
what do you mean by your question I didn't understand it
Is it or not pls I need help
Answer:
no it is not
Step-by-step explanation:
i drew the line bc in order for it to be a function there would have to be only one point in each line
hopefully this helps :)
have a nice day !!
21. Which two ratios can be represented by a ratio of 7 to 12?
A the ratio of shells to rocks if there are 7 rocks and 12 shells
B the ratio of shoes to dresses if there are 7 dresses and 12 shoes
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
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Answer:
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by a divided by b.
A the ratio of shells to rocks if there are 7 rocks and 12 shells
12 shells and 7 rocks, so this ratio is 12 to 7.
B the ratio of shoes to dresses if there are 7 dresses and 12 shoes
12 shoes and 7 dresses, so this ratio is 12 to 7.
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
7 shots made out of 12 taken, so this ratio is 7 to 12, and c is one of the correct options.
D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients
7 sick patients
7 + 12 = 19 total patients
So this ratio is 7 to 19
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
7 small dogs and 12 big dogs, so this ratio is 7 to 12, and e is the other correct option.
answer pls ty ill give brainliest
Answer:
2.5
Step-by-step explanation:
Answer:
2.5 im not sure ThanksStep-by-step explanation:
Im not sure
2 × 3² - 5² = ???????????????????????????????????????????????????????????????????????????????
Answer:
I think its -7
Step-by-step explanation:
djjdjejjd
Answer:
-7 is your answer
Step-by-step explanation:
2 × 3² - 5²=18-25=-7
Answer It, Thanks. -3(-100)
Answer: 300
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
If all terms are negative then the result will come out positive.
You have four ice cubes in your cup of lemonade each ice cube has a length of 2 1/4 cm a width of 2 2/3 cm and a height of 2 cm what is the total volume of all the ice cubes
Answer: 6
Step-by-step explanation:
(11–6)÷6. Solve this and show your work.
Step-by-step explanation:
5/6 was 0.833333333333333
4. What is the slope of the graph of x – 2y = 8?
Answer:
The slope is 1/2
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the slope m
Hope this helps:)
Which of the following shows the graph of y = 4^x+ 3?
Answer:
the graph of y=4 x+3 is a straight line that passes through the point (0,3) and (0
Step-by-step explanation:we can clearly see that the graph of y=4x+3 is a straight line that passes through the x and y axes at the point -0.75 and 3 respectively.hence we could also say that it is a extended line of the line segment passing through (0,3) and (-0.75,0).
The graph is plotted in the 1 ,2 and 3 quadrant.
Answer:
The graph for that would look like this
Step-by-step explanation:
Rex has a collection of 160 toy dinosaurs to put into 4 boxes. He puts 5 handfuls of toy dinosaurs in each box. There are no toy dinosaurs left. Four friends estimate how many toy dinosaurs Rex has in each handful. Which estimation is the best?
Answer: 8 dinos
Step-by-step explanation:
there are 4 boxes and 5 handfuls in each. divide 160 by 4 and divide that, 40, by 5 to get 8
I Need help with these please
9514 1404 393
Answer:
5. (d) 8
6. (c) 120°
Step-by-step explanation:
5. OC is a radius, just like BO is. The angle at B is a right angle, so the Pythagorean theorem can be used to find BO.
AO² = BO² +BA²
BO² = AO² -BA² = 17² -15² = 289 -225 = 64
BO = CO = √64 = 8
__
6. The measure of arc IK is the same as the measure of the central angle. If we name the circle center X, then arc IK = ∠IXK = ∠HXL because those angles are vertical angles.
arc IK = 120°
help me please :)))))))))))
Answer: Can you pleaes post the pic again it is not clear
Step-by-step explanation:
Pls helppppppp!!!!!!!!!!!
Answer:
part of it is cutted out show a better picture please ill answer it
Step-by-step explanation:
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches. What is the width of frame a and frame b.
Answer:
Frame A width = 6.67 inches
Frame B width = 6 inches
Step-by-step explanation:
WA = width of frame A
WB = width of frame B
(WA)(6.75) = 45
WA = 6.67
(WB)(7.5) = 45
WB = 6
An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The mean lifetime of a random sample of 2000 new bulbs is found to have a mean lifetime of 1201 hours. Although the difference from the old mean lifetime of 1200 hours is quite small, the P-value is 0.03 and the effect is statistically significant at the 0.05 level. If, in fact, there is no difference between the mean lifetimes of the new and old designs, the researcher has:________
a. committed a type 1 error
b. committed a type 2 error
c. a probability of being correct, which is equal to the P-value
d. a probability of being correct, which is equal to 1-(P-value)
Answer:
a. committed a type 1 error
Step-by-step explanation:
The correct option is - a. committed a type 1 error
Reason -
Type 1 error occurs when a true null Hypothesis is rejected
Type 2 error occurs when a false null Hypothesis is accepted
Now,
Let us state that,
The null hypothesis and alternate hypothesis is
H0 : There is no difference between the mean lifetimes of the new and old designs
H1 : There is a difference between the mean lifetimes of the new and old designs
Now,
As there is no difference between the mean lifetimes of the new and old designs.
⇒ The null hypothesis is true.
But p value suggests that null hypothesis should be rejected
∴
We have committed a Type 1 error that is rejecting a true null hypothesis.
So,
The correct option is - a. committed a type 1 error
5/8(64−96) simplify
☁️ Answer ☁️
-20
Hope it helps.
Have a nice day noona/hyung ￣▽￣
The members of a youth dance company were asked their favorite ice cream flavors for
an upcoming party to celebrate a competition win. The results are displayed in the bar
graph below.
Based on the information in the graph, which of the following statements are true?
Choose one. 10 points
Favorite Ice Cream Flavors
10
8
6
Amount
4
2
0
Vanilla - 6
Strawberry - 5
Cookies & Cream - 9
Butter pecan - 3
Chocolate - 2
Answer:
2
Step-by-step explanation:
25 is 32% of what number
Answer:
78.125
Step-by-step explanation:
0.32*x = 25
x = 25/0.32 = 78.125
Answer:
78.125
Step-by-step explanation:
Let the number be Y
32% of Y = 25
32/100 x Y = 25
32Y = 25x100
32Y = 2500
divide both sides by 32
Y = 2500/32
Y = 78.125
Answer this correctly and I will give u brainslist and this is worth 15 points
The answer is A) 60°
Step-by-step explanation:
It's reflecting
i am feeling generous so I am giving away points to anyone who answers this easy question what is 10÷x+10×10+x-3x if x=0.111111111
Answer:
189.77777867
Step-by-step explanation:
10/.111111111+10x10+.111111111-3(.111111111)
189.77777867
I know this was just for points but...
Hope this kind of helped if you actually needed the question answered and have a fantastic day C:
3x6/7 (write in simplest form
Answer:
2 4/7
Step-by-step explanation:
Answer:
Step-by-step explanation:
why is 2 × 3/4 less than 2
Answer:
becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2
Answer:
Is 2/4 smaller than 2/3? These are the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
2/4 = 0.5
2/3 = 0.667
Then, we compare the two decimal numbers to get the answer.
0.5 is less than 0.667.
Therefore, 2/4 is less than 2/3 and the answer to the question "Is 2/4 less than 2/3?" is yes.
i think this will help
1. The standard deviation of sample size of n = 15 is 345 and the mean is 6784. Given that the
population follows a normal distribution, construct a 90% confidence interval estimate of the
mean of the population.
Answer:
The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.761
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.761\frac{345}{\sqrt{15}} = 157[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6784 - 157 = 6627
The upper end of the interval is the sample mean added to M. So it is 6784 + 157 = 6941
The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.
Pyramid A has height 5 1/2, and Pyramid B has height 2 3/4. A and B are similar. What is the ratio of their:
Lateral areas?
Volumes?
Answer:
Lateral areas have ratio of 4:1
Volumes have ratio of 8:1
Step-by-step explanation:
There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of [tex]a:b[/tex], the ratio of any surface area type measure is always [tex]a^2:b^2[/tex] this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of [tex]a^3:b^3\\[/tex].
Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of [tex]\frac{5\frac{1}{2} }{2\frac{3}{4} }[/tex] which if you simplify it, it is [tex]\frac{5.5}{2.75}[/tex], which is [tex]2[/tex]. The ratio of the heights are [tex]2:1[/tex].
Now we can apply those rules to this ratio, the ratio of lateral areas would then be [tex]2^2:1^2[/tex], which is [tex]4:1[/tex]. the ratio of volumes would be [tex]2^3:1^3[/tex], which is [tex]8:1[/tex]
A wooden wagon wheel has 12 equally spaced spokes radiating from the central hub.
Answer: 12 INCHES
Step-by-step explanation:
In a game involving a standard deck of 52 playing cards, an individual randomly draws 6 cards without
replacement. Let Y be the number of aces drawn.
What type of variable is Y?
Answer: Neither
Step-by-step explanation:
Help fast please....
Answer:
We need the question to answer plz.
Step-by-step explanation:
lol