The formula for percent error is (M-A)/A X 100
M= the amount of the sample measured
A= the exact amount of the sample
so, 2.75-2.699=0.51/cm3
051/2.699=.01889
.01889 x 100=1.9% :)))
A jar contains 2 sugar cookies, 5 peanut butter cookies, and 3 chocolate chip cookies.What is the probability of randomly choosing a sugar cookie, not replacing it, and then choosing a peanut butter cookie?
You would have 2/10 chance of choosing the sugar cookie then after you chosen it 5/9 chance of picking up a peanut butter cookie. I hope this helps
Answer:
1/9
Step-by-step explanation:
The total number of cookies is
2 sugar cookies+ 5 peanut butter cookies+ 3 chocolate chip cookies= 10
We want to take a sugar cookie
P(sugar cookie) = # sugar cookie/total cookies
= 2/10 = 1/5
Now we eat the cookie (not replacing it) so there are only 9 cookies
1 sugar cookies+ 5 peanut butter cookies+ 3 chocolate chip cookies= 9
Now we want a peanut butter cookie
P(peanut butter cookie) = # peanut butter cookie/total cookies
= 5/9
To get the probability of both events happening, multiply them together
P( sugar, peanut) = 1/5 * 5/9
= 1/9
Find the length of the side of a square with an area of 49.
A. 49
B. 7
C. 25
D. 2,401
7 is the answer
Area =length *breadth
Area =length *length
Area=49=x *x
[tex]49 = {x}^{2} \\ \sqrt{49} = x \\ x = 7[/tex]
i’m struggling with number 55 every time ive tried i don’t end up with the right answer
Answer:
X=2
Step-by-step explanation:
Find the surface area of the rectangular prism
Answer:
S.A. = 328Step-by-step explanation:
The formula of a surface area of a rectangular prism l × w × h:
[tex]S.A.=2(lw+ih+wh)[/tex]
We have l = 5.5, w = 5 and h = 13. Substitute:
[tex]S.A.=2(5.5\cdot5+5.5\cdot13+5\cdot13)\\\\S.A.=2(27.5+71.5+65)\\\\S.A.=2(164)\\\\S.A.=328[/tex]
need urgent help asap! trig question 7, 9, 10, 11, 12plz,, plz show step by step work on each one plz!
You just need a calculator for these so there is no working
7)[tex]4.569245397*10^{-3}[/tex]
8)[tex]\frac{1}{2}[/tex]
9)0.5773502692
10)[tex]6.853838284*10^{-3}[/tex]
I am not sure for the rest, sorry havent done that far in school yet :)
Hope these helps :)
You need the Unit Circle to answer these questions! (attached)
7. Answer: [tex]\bold{\dfrac{\sqrt6-\sqrt2}{4}}[/tex]
Step-by-step explanation:
[tex]sin\dfrac{\pi}{12}=15^o\\\\\text{Since }15^o\text{ is not on the Unit Circle, you will need to use the difference}\\\text{formula for sin: sin(A - B) = sinAcosB - cosAsinB}\\\\sin15=sin(45-30)=\dfrac{\sqrt2}{2}\cdot\dfrac{\sqrt3}{2}-\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}=\dfrac{\sqrt6}{4}-\dfrac{\sqrt2}{4}=\boxed{\dfrac{\sqrt6-\sqrt2}{4}}[/tex]
8. Answer: 0
Step-by-step explanation:
The sum formula for cos is: cos (A + B) = cosA cosB - sinA sinB
Since we are given cos75° cos15° - sin75° sin15°, we can conclude that we are looking for cos (75° + 15°) = cos 90°.
The Unit Circle shows us that cos 90° = 0
9. Answer: [tex]\bold{\dfrac{\sqrt3}{3}}[/tex]
Step-by-step explanation:
The given expression is for tan (A + B).
tan (10° + 20°) = tan 30° = [tex]\dfrac{sin30^o}{cos30^o}=\dfrac{1}{\sqrt3}\implies\boxed{\dfrac{\sqrt3}{3}}[/tex]
10. Answer: [tex]\bold{\pm\dfrac{2-\sqrt2}{2}}[/tex]
Step-by-step explanation:
[tex]sin\dfrac{\pi}{8}=22.5^o=sin\dfrac{45^o}{2}\\\text{So we need to use the half-angle formula for sin:}\\\\sin\dfrac{\theta}{2}=\pm\sqrt\dfrac{1-cos\theta}{2}}\\\\sin\dfrac{45^o}{2}=\pm\sqrt\dfrac{1-cos45^o}{2}}=\pm\sqrt\dfrac{1-\frac{\sqrt2}{2}}{2}}=\pm\sqrt\dfrac{\frac{2}{2}-\frac{\sqrt2}{2}}{\frac{4}{2}}}=\boxed{\pm\dfrac{2-\sqrt2}{2}}[/tex]
11. TOO BLURRY TO SEE THE PROBLEM
12. Answer: [tex]\bold{\dfrac{7}{25}}[/tex]
Step-by-step explanation:
Quadrant II means that sin is positive and cos is negative.
[tex]sin\ x=\dfrac{3}{5}\implies cos\ x=-\dfrac{4}{5}\\\\cos\ 2x=cos^2\ x-sin^2\ x\\\\.\qquad=\bigg(\dfrac{-4}{5}\bigg)^2-\bigg(\dfrac{3}{5}\bigg)^2\\\\.\qquad=\dfrac{16}{25}-\dfrac{9}{25}\\\\.\qquad=\boxed{\dfrac{7}{25}}[/tex]
If the greatest value of n is 8, which inequality best shows all the possible values of n? (5 points) n < 8 n ≤ 8 n > 8 n ≥ 8
Answer:
Step-by-step explanation:
"the greatest value of n is 8" is signified by n ≤ 8.
This is a set, and also an inequality.
Find the volume of the solid figure 3’width 5’length and 6’height
A:90 cu. ft
B:96 cu. ft
C:126 cu. ft
Volume=length×width×height
=5×3×6
=90 cu.ft
Answer:
A. 90 cu.ftStep-by-step explanation:
The formula of a volume of a rectangular solid (cuboid):
[tex]V=lwh[/tex]
l - length
w - width
h - height
We have
[tex]l=5\ ft,\ w=3\ ft,\ h=6\ ft[/tex]
Substitute:
[tex]V=(5)(3)(6)=90\ ft^3[/tex]
Rewrite the quadratic function in standard form and give the vertex f(x)=3x^2-6x-9
Answer:
y=3(x-1)^2-12
Step-by-step explanation:
which value of x is in the solution set of the following inequality -3×+5>17
Answer:
x < -4
Step-by-step explanation:
To solve the inequality, use inverse operations.
-3x + 5 > 17
-3x > 17 - 5 Subtract 5 from both sides.
-3x > 12 Divide both sides by -3.
x < -4 Flip the inequality sign since you divided by a negative.
What is the volume of the pyramid in cubic inches?
48 and 81 basically you just have to multiply
Answer:
144 cubic inches
Step-by-step explanation:
We are given a diagram of a pyramid with length = 8 inches, height = 9 inches and width = 6 inches.
We are to find the volume of this pyramid.
We know that the formula of volume of a pyramid is given by:
[tex] \frac { l \times w \times h } { 3 } [/tex]
Substituting the given values in the above formula to get:
Volume of pyramid = [tex] \frac { 8 \times 6 \times 9 } { 3 } [/tex] [tex]=\frac{432}{3}[/tex] = 144 cubic inches
Santos wants to know what percentage of people who get married in his county knew each other in school. Which of the following survey methods will allow Santos to make a valid conclusion about the percentage of couples married in his county who knew each other in school?
Answer: Sort a list of couples married in his county into a random order, then ask the first 30 couples on the list.
Step-by-step explanation:
Answer:
b. Sort a list of couples married in his county into a random order, then ask the first 30 couples on the list.
Step-by-step explanation:
please mark me brainlist
im not just going to leave you guys with this explaination because i dont really like people just putting answers up when it's wrong just for the points thats why i try to show proff on MOST of my work
the screenshot is below
Brenda walk the dogs after school she is planning to increase the rate that she charges by 20% in January when does current rate for walking a dog is $4.50 what will be the new rate in dollars after the 20% increase? Plz show work
Answer:
$5.40
Step-by-step explanation:
To find the increase we need to consider our variables.
Current Rate = $4.50
Increase Percentage = 20% or 0.20
Now we can find the new rate by multiplying the Current Rate to the Increase Percentage and add it to the Current Rate again.
Total Price w/ Increase = ($4.50 x 0.20) + $4.50
Total Price w/ Increase = $0.90 + $4.50
Total Price w/ Increase = $5.40
find the area of a rectangle whose length is 5 centimeters and width is 3 centimeters
your answer is 15 centimeters
Solve for x. 3x+1=7 What is the root? If there is no root, choose none.
12
16
16 2/3
none
I think the root of "3x + 1 = 7" is 2...
Answer:
The root of the equation is x=2.
Step-by-step explanation:
Given : Equation [tex]3x+1=7[/tex]
To find : Solve for x?
Solution :
Step 1 - Write the equation
[tex]3x+1=7[/tex]
Step 2 - Subtract 1 both side,
[tex]3x+1-1=7-1[/tex]
[tex]3x=6[/tex]
Step 3 - Divide the equation by 3,
[tex]\frac{3x}{3}=\frac{6}{3}[/tex]
[tex]x=2[/tex]
Therefore, The root of the equation is x=2.
Gabriella has $300 in her checking account and $125 in her savings account if Gabriella transferred enough money from my checking account to her savings account to double the savings account balance what is her new checking account balance
Answer:
Step-by-step explanation:
$300-$125=$175
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C
(-7,2), (-8,-9)
Answer:
11x - y = -79Step-by-step explanation:
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
We have the points (-7, 2) and (-8, -9). Substitute:
[tex]m=\dfrac{-9-2}{-8-(-7)}=\dfrac{-11}{-1}=11[/tex]
[tex]y-2=11(x-(-7))\\\\y-2=11(x+7)[/tex]
Convert to the standard form:
[tex]y-2=11(x+7)[/tex] use the distributive property a(b + c) = ab + ac
[tex]y-2=11x+77[/tex] add 2 to both sides
[tex]y=11x+79[/tex] subtract 11x from both sides
[tex]-11x+y=79[/tex] change the signs
[tex]11x-y=-79[/tex]
Moving at its top speed a sloth would take 20 hours to go 3 miles on land. What’s that in miles per hour
Answer:
.15 mph
Step-by-step explanation:
3 miles/ 20 hours or 3/20
Answer:
6 hours and 42 minutes (402 minutes)
Step-by-step explanation:
20 ÷ 3 = 6.7 hours
6.7 hours = 6 hours and 42 mins
To check if our answer is correct:
Do the inverse
6. 7 hours x 3 = 20.1
Round it to nearest whole number, 20
The square pyramid has a base area of 900 square meters and a height of 40 meters. Find the volume.
Answer:
12000 m³
Step-by-step explanation:
The volume (V) of a pyramid is calculated using the formula
V = [tex]\frac{1}{3}[/tex] × area of base × height, hence
V = [tex]\frac{1}{3}[/tex] × 900 × 40 = 300 × 40 = 12000 m³
Answer:
12000 no problem
Step-by-step explanation:
I REALLY NEED HELP! PLEASE HELP ME!
64−(3y+8y+y)÷40=37
8,000÷(28x+4)−15=25
Answer:
y = -118 and x = 7
Step-by-step explanation:
I've attached a picture with my work.
Detailed steps on solving equations with variables y and x, including simplification and solving for the unknowns.
Solving the equation 64−(3y+8y+y)÷40=37:
Combine like terms: 64 - (12y) ÷ 40 = 37Simplify: 64 - 0.3y = 37Solve for y: y = (64 - 37) / 0.3 = 90Solving the equation 8,000÷(28x+4)−15 = 25:
Add 15 to both sides: 8,000 ÷ (28x + 4) = 40Multiply both sides by (28x + 4): 8,000 = 40(28x + 4)Solve for x: x = (8,000 - 160) / 40(28) = 6Order the numbers from least to greatest.
* The square root of 1/64
*1/4
*0.2 repeating
From least to greatest, the numbers are
Answer:
Step-by-step explanation:
The sqrt of 1/64 is 1/8, or 0.125.
1/4 is equivalent to 0.25.
0.2 repeating is 0.222222222222 ...
Least: 0.125
Middle: 0.25
Greatest: 0.222222222222 ...
The numbers from least to greatest are: square root of 1/64 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).
Explanation:This problem requires an understanding of fractions and square roots to order the numbers correctly. Firstly, you have to calculate the square root of 1/64. The square root of 1/64 is 1/8 or 0.125. Then, let's consider the other numbers: 1/4 which is equal to 0.25, and 0.2 repeating which is actually equivalent to 0.222 continuing. Now we can order them from least to greatest: 1/8 (0.125), 0.2 repeating (0.222...), and 1/4 (0.25).
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HELP PLZ (30 POINTS)
Answer: I think 1 or 2
Answer:
4: 3 and 2
5: 1 and 4
The first three steps of completing the square to solve the quadratic equation x2 +4x -6 0, are shown below. Step 1: x2 +4x 6 Step 2: x2 +4x +4 6+4 Step 3: (x +2)2 10 What are the next 3 steps?
Answer:
step 4: Take the square root on both sides
√(x + 2)^2 = √10
step 5: Simplify
x + 2 = ±√10
Step 6: Solve for x
x = √10 - 2 and x = -√10 + 2
Step-by-step explanation:
Step 1: x^2 +4x = 6
Step 2: x^2 +4x +4 = 6+4
Step 3: (x +2)^2 = 10
The next 3 steps are:
step 4: Take the square root on both sides
√(x + 2)^2 = √10
step 5: Simplify
x + 2 = ±√10
Step 6: Solve for x
x = √10 - 2 and x = -√10 + 2
Hope this will helpful.
Thank you.
The solution of the given quadratic equation is,
x = 1.16 or -2+12i
The given expression is
x² +4x - 6 = 0,
Since we know that,
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
Then, after comparison,
a = 1, b = 4 and c = -6
Therefore the given equation is an quadratic equation,
We can write it apply quadrature formula:
x = (-b ± √(b²-4ac))/2a
= (-4 ± √(16+24))/2
= 1.16 or -2+12i
Hence,
x = 1.16 or -2+12i
To learn more about quadratic equation visit:
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I would like to know the result of 3^3
Answer:
[tex]3^{3}[/tex] = 27.
Step-by-step explanation:
3 to the third power ( [tex]3^{3}[/tex] ) is the same as :
3 x 3 x 3 which would equal :
3 x 3 = 9 x 3 = 27.
Hope this helps,
Davinia.
27
3 times.3 times 3
9 times 3
27
{System: I am having a bit of trouble calculating this. Will you help me out? Thank you!}
Which is the value of y in the following system? y=3x-5 6x+3y=15
Answer:
The value of y in the solution of the system is [tex]y=1[/tex]
Step-by-step explanation:
we have
[tex]y=3x-5[/tex] -----> equation A
[tex]6x+3y=15[/tex] -----> equation B
substitute equation A in equation B
[tex]6x+3(3x-5)=15[/tex]
[tex]6x+9x-15=15[/tex]
[tex]15x=15+15[/tex]
[tex]15x=30[/tex]
[tex]x=2[/tex]
Find the value of y
[tex]y=3(2)-5=1[/tex]
Factor & Finding Zeros
x^{2} +12x+35=0
Answer:
x = - 7, x = - 5
Step-by-step explanation:
To factorise the quadratic
Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)
The factors are + 7 and + 5, since
7 × 5 = 35 and 7 + 5 = 12, hence
x² + 12x + 35 = 0 ← in standard form
(x + 7)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 5 = 0 ⇒ x = - 5
if 9450 is 16%, how much is 100%
Answer:
59062.50
Step-by-step explanation:
Is means equals
9450 = 16% of a number
9450 = .16 N
divide by .16
9450/.16 = .16N/.16
59062.50 = N
The number is 59062.50
We want 100% of the number which is all of it
59062.50
identify the center and the radius of a circle with equation (x-4)^2+(y+2)^2=9
Answer:
center:(4,-2)
Radius: 3 units
Step-by-step explanation:
The standard equation of a circle is given as [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the center and r is the radius of the circle.
The given equation is [tex](x-4)^2+(y+2)^2=9[/tex].
We compare to the standard equation of the circle to get;
[tex]x-h=x-4[/tex]
[tex]\Rightarrow -h=-4[/tex]
[tex]\Rightarrow h=4[/tex]
and
[tex]y-k=y+2[/tex]
[tex]\Rightarrow -k=2[/tex]
[tex]\Rightarrow k=-2[/tex]
Hence the center of the circle is (4,-2).
Also, we have [tex]r^2=9[/tex]
Therefore [tex]r=\sqrt{9}[/tex]
[tex]r=3[/tex] units.
Answer:
Center at (4,-2); radius: 3
Step-by-step explanation:
the number that is 3 times the sum 5 and 7 i wrote 3 x 5 + 7 explain why i cannot use this expression to find the number
Answer:
3X(5+7)
Step-by-step explanation:
Because correctly is of this way:
3X(5+7)
and not so:
(3X5) + 7
Best regards
➷ You have written it the incorrect way.
Following the rules of PEMDAS, the multiplication would be carried out before the addition. This is not what is wanted
The question would want 3 times the SUM of 5 and 7.
To make sure you get the correct answer, you would have to write the expression slightly different
The correct way would be:
3(5 + 7)
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
What is the factored form of x2 - 12x - 45?
Answer:
(x - 15)(x + 3)
Step-by-step explanation:
Factors of 45 include 5 and 9, 3 and 15, 1 and 45, and so on.
Note that 3*15 =+45; this is not what we wanted. Thus, try (-3)*15 = -45.
Do -3 and 15 combine to yield -12? No. Thus drop (-3)(15) and try (3)(-15).
Do 3 and -15 combine to yield -12? YES
Therefore, the factored form of x² - 12x - 45 is (x - 15)(x + 3).