Answer:
1. 4
2. -4
3. -4
Step-by-step explanation:
Let's look carefully at each problem and explain it.
1. (-2)^2
This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then
(-2)^2 means the product (-2) * (-2),
and since the product of two negative numbers is positive, then
(-2)^2 = (-2) * (-2) = 4
Answer is 4.
2. -2^2
Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as
-(2^2)
-2^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4.
3. -(2)^2
This is the same as problem 2 above. You square the 2 first, then take its negative.
-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4
Probability question, which I am stuck on!
The probabilities of landing on 1, on 2, on 4, on 5 or on 6 when rolling a biased dice are shown in the table.
*Table In Attachment*
The biased dice is rolled 300 times.
Estimate the total number of times the dice will land on 3 or on 4.
I would like to know what a biased dice is too!
Answer:
land on 3: 36 times
land on 4: 63 times
Step-by-step explanation:
A biased dice is the opposite of a fair dice.
A fair dice has the same probability of landing any of the six numbers: 1/6
The biased dice has different probabilities for its results.
To solve this question, first we need to find the probability of landing a 3.
The sum of all probabilities need to be 1, so:
0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1
p(3) = 1 - 0.88 = 0.12
If we roll the dice 300 times, the expected number of times the dice will land:
on 3: 300 * p(3) = 300 * 0.12 = 36 times
on 4: 300 * p(4) = 300 * 0.21 = 63 times
Answer:
99
Step-by-step explanation:
3=0.12
3 =0.12×300=36
4 =0.21×300=63
63+36= 99
Mr. Greene bought some pens at the school supply store, including 15 blue pens. 60% of all the pens he bought were blue.
How many pens did Mr. Greene buy in all?
4.2 is 25% of what number
Answer:
16.8
Step-by-step explanation:
If 4.2 is 25% of a number:
25% x 4 = 100%
4.2 x 4 = 16.8
Which of the following represents 45 = 5 × 9?
A.
45 is 3 times as many as 15
B.
9 is 5 times as many as 45
C.
5 is 9 times as many as 45
D.
45 is 9 times as many as 5
Answer:
D 45 is 9 times as many as 5
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
45 is 9 times as many as 5 is the answer because when you turn the equation 45=5*9 into words, it has three numbers 9, 5 and 45. 45 is the product of 9 and 5 and 9 and 5 are the numbers that must be multiplied to give the product 45.
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C
Step-by-step explanation:
5 lemons for $2.00
1 lemon is for 2/5=$0.40
Answer:
The answer is option C) $0.40
Step-by-step explanation:
Cost of 5 lemons= $2.00
cost of 1 lemon= 2.00/5
= 0.40
therefore $0.40 is the unit cost of each lemon in the bag.
Hope this helped you.
The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.
Answer:
Candy=x=2.8 bags
Cookies=3+2.8=5.8 bags
Step-by-step explanation:
Price
Bag of candy=$6.00
Bag of cookies=$4
Total sales=$40
Quantity
Let cookies=y=3+x
Let candy=x
There are 3 more bag of cookies than candy sold
Total sales=price*quantity of x + price*quantity of y
40=$4*(3+x) + 6*x
40=12+4x+6x
40=12+10x
40-12=10x
28=10x
X=28/10
x=2.8 bags
y > -1/3x -1 as a graph
Step-by-step explanation:
Is this the graph you needed??
The dots are the shaded region
Solve the equation using the Quadratic Formula: *
x2 – 3x + 3 = 5x + 1
Answer:
please mark brainly
Step-by-step explanation:
Answer:
Exact form : x = 4 ± √14
Decimal form : x 7.74165738..., 0.25834261...
Step-by-step explanation:
I hope this helps you out. ☺
Please help. Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1. Subtract 12 from both sides: −6x − 12 = −4y 2. Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y
Answer:
3/2 x +3 = y
Step-by-step explanation:
−6x = 12 − 4y
Subtract 12 from both side
−6x-12 = 12 − 4y-12
-6x -12 = -4y
Divide both side by -4
(-6x -12)/-4 = -4y/-4
-6x/-4 -12/-4 = y
3/2 x +3 = y
Answer:
y = 1.5x + 3
Step-by-step explanation:
= - 6x - 12 = - 4y
(- 6x - 12)/- 4 = - 4y/- 4
1.5x + 3 = y
Hope this helps!
Can someone please help me on these 2 problems thank you Sm!:)
Joshua is using a garden hose to fill a swimming pool with water. The graph below shows
the amount of water in the pool over time. Use the drop-down menus to explain the slope of
the graph.
For the first option the numbers are 90,10,5,18,2
Answer:
minutes needed to add each gallon of water in the pool
Step-by-step explanation:
The X-axis is the time and the Y-axis is the gallons. Y is the one being influenced by X. So, the amount of gallons in the pool is being influenced by the amount of time.
The quantities x and y are proportional.
pls help plsssss this work is due 20 min plsss helppp
Answer: 2.5
Step-by-step explanation:
y = rx
substitute numbers in and solve for r
if
y = 10
x = 4
then
10 = r4
r = 10/4 = 2.5
this works for all the other numbers and always gives r = 2.5
A bank loaned out $20,000, part of it at the rate of 9% per year and the rest at 17% per
year. If the interest received in one year totaled $3000, how much was loaned at 9%?
How much of the $20,000 did the bank loan out at 9%?
Answer:
The bank loan out at $5000 at 9%
Step-by-step explanation:
A bank loaned out $20,000
Let x be the amount loaned at at the rate of 9% per year
So, 20000-x amount loaned at at the rate of 17% per year
Formula : [tex]A =P(1+r)^t[/tex]
Amount at 9% interest in 1 year
[tex]A=x(1+0.09)^1[/tex]
A=1.09x
Interest = Amount - Principal = 1.09x-x=0.09x
Amount at 17% interest in 1 year
[tex]A=(20000-x)(1+0.17)^1[/tex]
A=1.17(20000-x)
Interest = Amount - Principal = 1.17(20000-x)-(20000-x)
We are given that the interest received in one year totaled $3000
So,1.17(20000-x)-(20000-x)+0.09x=3000
x=5000
So, the bank loan out at $5000 at 9%
The largest colored pencil drawing ever documented is 500 yards long. How many feet is that? Show or explain your reasoning.
Answer:
1500 ft
Step-by-step explanation:
1 yd=3 ft
500 yd*3 ft/yd=1500 ft
Answer:
1500 ft
Step-by-step explanation:
Multiply 500 yds by the conversion factor derived from 1 yd = 3 ft:
500 yd 3 ft
----------- * ----------- = 1500 ft
1 1 yd
1. Water is filling a bathtub at a rate of 7 gallons per minute. Complete the table of equivalent
ratios for the first 5 minutes of the bathtub filling up.
Answer:
amount of water: 7, 14, 21, 28, 35
time : 1,2,3,4,5
One student says -5 is bigger than -4 and uses money as the analogy: “If I owe $5, I have a bigger debt than if I owe $4.” What is wrong with this argument?
Answer:
This is a bad argument because when talking about negative numbers, the closer the numbers are to 0, the bigger they are. -4 is closer to 0 than -5, so -4 is the bigger number.
Step-by-step explanation:
Answer:
-5 is not larger than -4.
Step-by-step explanation:
Think of a number line. The absolute value of -5 is 5, meaning -5 is 5 away from 0 to the left. On the other hand, -4's absolute value is 4, meaning -4 is 4 away from 0 to the left. In the money scenario, owing $5 is a bigger debt because the absolute value is larger, not the number itself. Hope this helps!!
What is the sum of the series?
10
Σ(7k– 2)
k=1
Answer:
365
Step-by-step explanation:
The simplest method is to substitute values of k = 1 to 10 into the expression and sum the terms, that is
7(1) - 2 + 7(2) - 2 + 7(3) - 2 + 7(4) - 2 + 7(5) - 2 + 7(6) - 2 + 7(7) - 2 + 7(8) - 2 + 7(9) - 2 + 7(10) - 2
= 5 + 12 + 19 + 26 + 33 + 40 + 47 + 54 + 61 + 68
= 365
Amy worked 16 hours more than Brayden last month. If Amy worked 8 hours for every 7 hours that Brayden worked, how many hours did they each work? (round answers to 1 decimal place) Amy worked hours Brayden worked hours
Answer:
Amy worked for 128 hours while Brayden worked for 112 hours
Step-by-step explanation:
Given
Let A represents Amy and B represents Brayden
A = 16 + B ------(1)
A:B = 8:7------- (2)
Required
Find A and B;
Convert (2) to fractions
[tex]\frac{A}{B} = \frac{8}{7}[/tex]
Cross Multiply
[tex]7 * A = 8 * B[/tex]
[tex]7A = 8B[/tex]
Substitute A = 16 + B in the above expression
[tex]7(16 + B) = 8B[/tex]
Open Bracket
[tex]7 * 16 + 7 * B = 8B[/tex]
[tex]112 + 7B = 8B[/tex]
Subtract 7B from both sides
[tex]112 + 7B - 7B = 8B - 7B[/tex]
[tex]112 = B[/tex]
[tex]B = 112[/tex]
Recall that A = 16 + B
Hence, [tex]A = 16 + 112[/tex]
[tex]A = 128[/tex]
This implies that Amy worked for 128 hours while Brayden worked for 112 hours
Chantelle takes out a loan of $3,500 with an APR of 4.25%. She will repay the loan in monthly payments for 6 months. To find the total amount of interest she will pay, Chantelle uses an online calculator. What are the correct numbers she should enter?
Answer:
P = 3,500 r = 0.0425 n = 12 t = 0.5
Step-by-step explanation:
P is the principal amount, which in this case is $3,500, or the start amount.
r is the interest rate, which is 4.25%. Change 4.5% to decimal form and it will be 0.0425.
n is the number of times the loan is repaid, or 12.
t is the time. In this case, the loan will be for 6 months, or half a year. Remember that variable t is always in term of years. In decimal form, half a year is 0.5.
Ten Points For First To Answer Correctly
34 of your books are fiction. 23 of those are historical fiction.
What fraction of your books is historical fiction?
A. 3/12
B. 1/12
C. 5/7
D. 1/2
Answer:
23/34
Step-by-step explanation:
This is guessing you only have fiction books.
Given the speeds of each runner below, determine who runs the fastest.
Adam runs 9 feet per second.
Noah runs 164 feet in 14 seconds.
Jake runs 1 mile in 412 seconds.
Katie runs 845 feet in 1 minute.
Answer:
Katie
Step-by-step explanation:
lets convert all the speeds to ft/1 sec
V adam: 9ft/sec
V noah: 164ft/14sec
164/14=11.7142857143= around 11.7 ft/sec
V jake: 1 mile/412 sec
1 mile= 5280 ft
5280 ft/412 sec=
5280/412=12.8155339806= around 12.8 ft/sec
V katie: 845ft/min
minute=60 sec
845ft/60sec=
845/60=14.0833333333= around 14.1 ft/sec
now lets order the velocities(speeds) from least to greatest:
V adam: 9ft/sec, V noah: 11.7 ft/sec, V jake: 12.8 ft/sec, V katie: 14.1 ft/sec
thus, Katie is the fastest runner
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK)
Answer: $47.83
Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...
6% ⇒ 0.06
0.06 * $50.88 = $3.05
$50.88 - $3.05 = $47.83
Remember x = price before tax...
x = $47.83
Fill in the table below by naming each prism and identifying the number of faces, vertices, and edges for each one of them.
Answer:
Step-by-step explanation:
A prism is a solid figure and geometric in nature having the shape of its ends parallel to each other and its sides are parallelograms. Each prism are classifies based on the shape of its ends that are parallel to each other.
The name of the prism given in question according to their arrangement from left to right are triangular prism, trapezoidal prism, pentagonal prism and hexagonal prism.
Triangular prism is made up of 5 faces, 6 vertices and 9 edges
The trapezoidal prism is made up of 6 faces, 8 vertices and 12 edges
The pentagonal prism is made up of 7 faces, 10 vertices and 15 edges
The hexagonal prism is made up of 8 faces, 12 vertices and 18 edges
Workout the value of the largest angle
Step-by-step explanation:
These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.
Answer:
200
Step-by-step explanation:
The sum of the angles is 360 degrees
5b+ b+b+2b = 360
Combine like terms
9b = 360
Divide each side by 9
9b/9 = 360 /9
b = 40
The largest angle is 5b
5*40
200
Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
3 hours
Step-by-step explanation:
3/4 + 3(3/4) =4*(3/4) = 3
Evaluate the expression (x + y ) if x = 4 and y = 2
Answer:6
Step-by-step explanation:
I feel like we are missing some of the equation, but here goes with what you gave
(x+y)
(4+2)
(6)
Answer:
6
Step-by-step explanation:
if x=4 and y=2 then (x+y) is (4+2)
Two times a number is equal to the absolute value of the quantity "sixty-three less than five times that number." What could the number be?
Answer:
The number is 21.
Step-by-step explanation:
First you need to solve for n.
So the equation would be 2n = |5n-63|
First you'd subtract 5n from each side, that would give you -3n=|-63|
Then you need to divide each side by -3 to get n=21.
~~~~~
To check, you can just plug 21 back into the equation.
2(21) = |5(21) - 63|
42 = |105-63|
42 = |42|
42 = 42
|x|-13=-3 solve the equation
Answer:
[tex]x=10\\x=-10[/tex]
Step-by-step explanation:
[tex]|x|-13=-3\\|x|=-3+13\\|x|=10[/tex]
[tex]x=10\\x=-10[/tex]
Answer:
[tex]x=\pm 10[/tex]
Step-by-step explanation:
[tex]\mid x \mid -13=-3[/tex]
Add 13 to both sides:
[tex]\mid x \mid=10[/tex]
[tex]x=\pm 10[/tex]
Hope this helps!
Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in?
The paint will fill the tray exactly
The paint will overfill the tray by 5 22 in?
Answer:
Aliane is bruh......................
Step-by-step explanation:
Examine these figures. Triangle A B C. Angle C is 108 degrees and angle B is 34 degrees. 2 lines extend from a horizontal line to form angles with measures 38 degrees, 108 degrees, and labeled 2. Choose the statement that is not true based on these diagrams. 38° + m∠2 + 108° = 180° m∠A + 108° + 34° = 180° m∠A = m∠2 m∠2 = 34°
Answer:Choose the statement that is not true based on these diagrams. answer= m∠A = m∠2
The statement that is not true based on these diagrams will be;
⇒ m ∠A = m∠2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Now,
Since, In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Hence, We get;
⇒ m ∠A + m ∠B + m ∠C = 180°
Substitute all the values, we get;
⇒ m ∠A + 34° + 108° = 180°
⇒ m ∠A + 142° = 180°
⇒ m ∠A = 180° - 142°
⇒ m ∠A = 38°
Thus, The incorrect statement is,
⇒ m ∠A = m∠2
Learn more about the triangle visit:
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