Answer:
The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube.
120 = e³
The value of e from the equation is approximately 5. Thus, there are approximately 5 layers of 1-inch cubes.
Read more on Brainly.com - https://brainly.com/question/3427563#readmoreStep-by-step explanation:
Evaluate 3{5+3[10+4•8]}
Answer: 393
I answered on monarch and it came out right.
Which is a possible benefit of having a good credit history?
having a checking account
low interest rate on a car loan
high interest rate on a credit card offer
bankruptcy
Answer:
low interest rate on a car loan
Answer:
B. low interest rate on a car loan
Jason Ayers works as a lifeguard earning $8.75 an hour for 20 hours per week. What is Jason’s straight-time pay for the week?
Hey!
-----------------------------------------------------
Straight-Time Pay - someone works the minimum and gets paid for working those hours. This person doesn't work any overtime hours.
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Solution:
8.75 * 20 = 175
-----------------------------------------------------
Answer:
Jason's straight-time pay for the week is $175!
-----------------------------------------------------
Hope This Helped! Good Luck!
Answer:
Jason’s straight-time pay for the week is $175.
Step-by-step explanation:
Given : Jason Ayers works as a lifeguard earning $8.75 an hour for 20 hours per week.
To find : What is Jason’s straight-time pay for the week?
Solution :
Jason Ayers works as a lifeguard earning in an hour = $8.75
In a week Jason Ayers works for 20 hours.
i.e. Jason Ayers works as a lifeguard earning in 20 hour =[tex]\$8.75\times 20[/tex]
Jason Ayers works as a lifeguard earning in 20 hour = $175
Therefore, Jason’s straight-time pay for the week is $175.
Helppppp! Angles PTQ and STR are vertical angles and congruent. Circle T is shown. Line segments T P, T Q, T R, and T S are radii. Lines are drawn to connect the points on the circle and form secants P Q, Q R, R S, and S P. Angles P T Q and S T R are congruent. Which chords are congruent? QP and SR QR and PR and RS PR and PS
Answer:
[tex]\overline{QP} = \overline{SR}[/tex]
Step-by-step explanation:
Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.
If two angle are equal, then they are equal in size and their measurements are equal.
IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.
Now, In ΔPTQ and ΔSTR
∠PTQ ≅ ∠STR (vertically opposite angle)
[tex]\overline{TQ} \cong \overline{ST}[/tex] (Radius of the circle are equal and congruent in length)
[tex]\overline{PT} \cong \overline{TR}[/tex] (Radius of the circle)
∴ ΔPTQ ≅ ΔSTR (SAS postulate)
∴ [tex]\overline{QP}\cong \overline{SR}[/tex] (corresponding sides of congruent triangle are equal and congruent).
You can use the fact that a closed figure made by connecting the adjacent end points of two equal and intersecting line segment is a rectangle.
Option A: [tex]\overline{QP} \: \rm and \: \overline{SR}\\[/tex]correct choice since the line segment QP is and line segment SR are congruent.
Given that:
Angles PTQ and STR are vertical angle and congruent.Circle T(centered at T).Line segments TP, TQ, TR, and TS are radii.How to find which lines are intersecting?Since angle PTQ and angle STR are congruent, thus we have:
PR and SQ as straight intersecting lines.
Due to angle PTS and angle QTR are opposite angles made by intersecting lines, we have them as congruent or say of equal measurement.
[tex]\angle PTS \cong \angle QTR[/tex]
Since [tex]\overline{TP} = \overline{TQ} = \overline{TR} = \overline{TS}[/tex], thus we have got:
[tex]\overline{PR} = \overline{SQ}[/tex] in measurement ( as PR is sum of PT and TR and same for SQ)
How is a rectangle made?"A closed figure made by connecting the adjacent end points of two equal and intersecting line segment is a rectangle", we have PQRS as a rectangle.
As a rectangle have opposite sides parallel and equal, we have got:
[tex]\overline{PQ} \cong \overline{SR}[/tex]
Thus, Option A: [tex]\overline{QP} \: \rm and \: \overline{SR}\\[/tex] is the correct choice since the line segment QP is and line segment SR are congruent.
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HELP PLZ WITH HOMEWORK !!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum of 3 + (-2) = 1 because it's just like 3 - 2
The sum of -6 + 3 = - 3 because the negative number is greater than positive number it's a negative.
For B you fill in Six negative, -6; three positive, 3. And you are left with three negative counters.
For A you are left with one positve counters.
PLEASE ANSWER BOTH ASAP THANKS
Answer:
a and c
Step-by-step explanation:
Hey!
-----------------------------------------------
Question #3:
The associative property is where you have an equation and you can switch the numbers and it will still equal the same.
Answer: c) (x + 3) + 7 = x + (3 + 7)
-----------------------------------------------
Question #4:
The distributive property is where you have an equation and you multiply each addend and add them up.
Answer: c) distributive
-----------------------------------------------
Hope This Helped! Good Luck!
A model of a baseball diamond is a square
with a perimeter of 36 in. What is the length
on the model from first base to third base?
(round to the nearest whole number)
Let [tex]i[/tex] be the imaginary unit.
What complex number in standard form does the following simplify to:
[tex]i^{425}+i^{14}+i^{-14}+i^{44}[/tex]
Basically you are being asked to find A and B such that the following equality holds for real values A and B:
[tex]A+Bi=i^{425}+i^{14}+i^{-14}+i^{44}[/tex]
You must show all work.
Have fun.
[tex]Hey~freckledspots!\\----------------------[/tex]
[tex]We~will~solve~for~i^{425}![/tex]
[tex]Rule~of~exponent: a^{b + c} = a^ba^c\\Apply:~i^{425}~=~i^{424}i\\ \\Rule~of~exponent: a^{bc} = (a^{b})^c\\Apply: i^{424} = i(i^2)^{212} \\\\Rule~of~imaginary~number: i^2 = -1\\Apply: i(i^2)^{212} = -1^{212}i\\\\Rule~of~exponent~if~n~is~even: -a^n = a^n\\Apply: -1^{212}i = 1^{212}i\\\\Simplify: 1^{212}i = 1i\\Multiply: 1i * 1 = i\\----------------------\\[/tex]
[tex]Now~let's~solve~1^{14}!\\\\Rule~of~exponent: a^{b + c} = a^ba^c\\Apply: i^{14} = (i^2)^7\\\\Rule~of~imaginary~number: i^2 = -1\\Apply: (i^2)^7 = -1^7\\\\Rule~of~exponent~if~n~is~odd: (-a)^n = -a^n\\Apply: -1^7 = -1^7\\\\Simplify: -1^7 = -1\\----------------------\\Now,~we~have: i-1+i^{-14}+i^{44}\\----------------------[/tex]
[tex]Now~lets~solve~i^{-14}\\\\Rule~of~exponent: a^{-b} = \frac{1}{a^b} \\Apply: i^{-14} = \frac{1}{i^{14}} \\\\Rule~of~exponent: a^{bc} = (a^b)^c\\Apply: \frac{1}{i^{14}} = \frac{1}{(i^2)^7}\\ \\Rule~of~imagianry~number: i^2 = -1\\Apply: \frac{1}{(i^2)^7} = \frac{1}{-1^7} \\\\Simplify: \frac{1}{-1^7} = \frac{1}{-1} \\\\Rule~of~fractions: \frac{a}{-b} = -\frac{a}{b} \\Apply: \frac{1}{-1} = -\frac{1}{1} = -1\\----------------------\\Now,~we~have: i-1-1+i^44\\----------------------[/tex]
[tex]Now~let's~solve~i^{44}!\\\\Rule~of~exponent: a^{bc} = (a^b)^c\\Apply: i^{44} = (i^2)^{22}\\\\Rule~of~imaginary~numbers: i^2 = -1\\Apply: (i^2)^{22} = -1^{22}\\\\Rule~of~exponent~if~n~is~even: (-a)^n = a^n\\Apply: -1^{22} = 1^{22}\\\\Simplify: 1^{22} = 1\\----------------------\\Now,~we~have~i-1-1+1\\----------------------[/tex]
[tex]Now~let's~simplify~the~expression!\\\\= i-1-1+1 \\= 1 + i -2\\= -1+i\\----------------------[/tex]
[tex]Answer:\\\large\boxed{-1+i}\\----------------------[/tex]
[tex]Hope~This~Helped!~Good~Luck![/tex]
Answer:
[tex]i - 1[/tex]
Step-by-step explanation:
Complex Number System Rules
[tex]\sqrt{-1} = i \\ -1 = {i}^{2} \\ -i = {i}^{3} \\ 1 = {i}^{4} [Every \: multiple \: of \: four][/tex]
The Divisibilty Rule of 4 states that the last two digits of a number must be a multiple of four, so you will have this:
[tex]{i}^{425} + {i}^{14} + {i}^{-14} + {i}^{44} \\ \\ i - 1 - 1 + 1 = i - 1[/tex]
I am joyous to assist you anytime.
What is 12 rounded to the nearest ten
Draw a visual model to represent the following expectation: 5/6 divide by 3
Check the picture below.
-4p + 19 = 11
please help me due tomorrow
Answer:
p=2
Step-by-step explanation:
−4p=11−19
−4p=−8
then you divide both sides by -4 and two negatives make a positive.
Complete each family of facts.
5 5 10
Answer:
1,5
1,5 and
1,2,5,10
Step-by-step explanation:
13/16 as a decimal rounded to the nearest tenth
The decimal equivalent of the fraction 13/16 is 0.8125. However, when you round this to the nearest tenth as the question specifies, you get 0.8.
Explanation:To find the decimal equivalent of the fraction 13/16, you firstly divide 13 by 16. This will provide you with a decimal number. Then, since the question asks for the decimal to be rounded to the nearest tenth, you round the decimal number. To round, if the number on right of decimal is 5 or more, round up; if it's less than 5, round down. So 13 divided by 16 equals 0.8125, which when rounded to the nearest tenth gives you a result of 0.8.
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13/16 as a decimal rounded to the nearest tenth is 0.8.
To convert the fraction 13/16 to a decimal and round it to the nearest tenth, we can follow these steps:
First, divide 13 by 16. When you do this, you get 0.8125 because 13 ÷ 16 = 0.8125.Next, we round 0.8125 to the nearest tenth. To do this, look at the hundredths place (which is the second digit after the decimal point). Here, it’s 1. Since this digit is less than 5, we round down, keeping the tenths place the same.Therefore, 0.8125 rounded to the nearest tenth is 0.8.Evaluate the expression when
a=7 and x = -6
a - 2x
Answer:
19
Step-by-step explanation:
7-2(-6) which would equal 7+12 because negative times negative is positive
Answer: 19
Step-by-step explanation:
7 + [(- 2) (-6)]
-2 * -6 = 12
7 + 12 = 19
As a smart consumer, you are always on the lookout for sales, coupons, and rebates. While shopping for new clothes, you notice that one particular brand of shirts is on sale for 20% off the original price. You also have a coupon for $10 off a $40 purchase. Coupons are applied after the 20% discount is taken. If each shirt originally costs $17.99, how many shirts would you need to buy to be able to use your coupon? Show your work
You’d have to buy 3 shirts, with the 20% off the shirts would come out to $14.39. So $14.39 x 3 = $43.17. Now with the $10 off a $40 purchase your total cost would be $33.17.
Answer:
You'd have to buy 3 shirts in order to use your coupon.
Step-by-step explanation:
Each shirt originally costs $17.99
One particular brand of shirts is on sale for 20% off the original price.
$17.99*0.2= $3.60 (amount taken off for each shirt)
Now subtract $3.60 from $17.99.
$17.99 - $3.60 = $14.39 (per shirt)
40 / 14.39 = 2.779 (round to 3)
You'd have to buy 3 shirts in order to use your coupon.
$14.39 * 3 = $43.17, in order to get $10 off you'd need to spend at least $40
If one gallon of gas costs $3.50 how much would 3,5, and 7 gallons cost?
Write a subtraction problem involving two positive integers with a negative difference. Explain the relationship between the two integers that must exist for the difference to be negative.
Answer:
When both integers have the same value, the difference is zero. The difference between a positive and a negative integer can be positive or negative. When you subtract a negative integer from a positive integer, the difference is always positive this might help
Step-by-step explanation:
Write a subtraction problem involving two positive integers with a negative difference.
1) When you subtract a positive integer from a negative integer, the difference is always negative.
For example : [tex]-7 - 3 = -10[/tex]
2) When you subtract a larger positive integer from a smaller integer, the difference is always negative.
For example : [tex]5-7=-2[/tex]
3) When you subtract two negative integers and the first integer (or minuend) is smaller than the second integer (or subtrahend), the difference is negative.
For example : [tex]-8 - (-2) = -6[/tex]
Can u simplify
Radical 18?
Answer:
You can!
It's 2\sqrt{3\\
Step-by-step explanation:
18 = 2*9
\sqrt{18} = 2\sqrt{3\\
Which of the following appear in the diagram below?
Check all that apply.
A. ZXYZ
B.
c. W
D. ZYXZ
The following is true in the diagram below:
∠XYZ
∠XYW
∠ZYW
[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]
Options A, B, and D are correct.
What is an angle?The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.
Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.
We have,
From the diagram,
There are 3 angles:
∠XYZ
∠XYW
∠ZYW
And,
In geometry, a line that has a starting point and no endpoint is called a ray. A ray is part of a line that starts at a particular point called the endpoint and extends infinitely in one direction.
It is also sometimes referred to as a half-line.
Rays are commonly denoted by an arrow pointing in the direction of the infinite extension, with the endpoint letter given first.
There are 3 rays:
YX, YW, and YZ
Thus,
The following is true:
∠XYZ
∠XYW
∠ZYW
[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]
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Solve —2|5w – 7 |+9=-7
You buy 50 of your favorite songs from a web site that charges $.99 for each song. What is the cost of 50 songs?
Answer: $49.5
Step-by-step explanation: If each song costs 0.99 cents then you multiply the number of songs you are buying by the cost. So that would be 0.99×50=49.5
I need answers for b and 4 (: <3
4: Geraldine wanted custom keychains. The store she went to has a service fee of 5 dollars, then 8 dollars per key chain. Geraldine payed 37 dollars. How many key chains did she buy?
(She bought 4 keychains)
As for b, I need to see question 3 in order to answer
tins eats 8 crackers for a snack each day at school.on Friday,she drops 3 and only eats 5. multy
Answer:
[tex]37[/tex] [tex]crackers[/tex]
Step-by-step explanation:
Tins (or Tina) ate 8 crackers for a snack each day on school , then on Friday, she drops three and only eats 5.
Meaning that for 4 days, she ate 8 crackers not including Friday.
So meaning we have to multiply how many crackers she ate for those 4 days in total:
[tex]8 * 4[/tex]
[tex]==> 32[/tex]
Then on Friday, she only ate 5, so we add 5 for how many crackers she ate into how many we have right now:
[tex]32 + 5[/tex]
[tex]==> 37[/tex]
To find out how many crackers Tins ate on Friday, you can subtract the number of dropped crackers from the total number she normally eats.
Explanation:In this question, the subject is mathematics and the grade level is middle school. The question asks about a student named Tins who eats 8 crackers for a snack each day at school. On Friday, she drops 3 crackers and only eats 5. To find out how many crackers she ate on Friday, we can subtract the number of dropped crackers from the total number she normally eats.
Number of crackers normally eaten: 8
Number of crackers dropped on Friday: 3
Number of crackers eaten on Friday: 8 - 3 = 5 crackers
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The expression 8x+2 factored using GCF
Answer:
2* (4x + 1)
Step-by-step explanation:
8x = 2 * 2 *2 * x
2 = 2* 1
GCF = 2
8x+2 = 2*2*2*x + 2*1 = 2* (4x + 1)
Write the equation of a line that is parallel to y = –
2 + 7 and that passes through the point (-4,1)
Answer:
y = -2x -7
Step-by-step explanation:
Plug in and Solve.
5z ^ 3 - 2z ^ 4 - 9z ^ 2 + z What is the degree of the polynomial ?
Answer:
Step-by-step explanation:
For any polynomial, we can determine the degree by finding the variable with the largest exponent. For the given polynomial:
[tex]5z^{3} - 2z^{4} -9z^{2} + z[/tex]
we can see that [tex]-2z^{4}[/tex] contains the variable with the highest exponent, 4, so the degree of this polynomial is 4.
Answer:
4
Step-by-step explanation:
khan academy help
If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
many red roses were sold on Valentine's Day? Show your work.
Answer:
1,600,000
Step-by-step explanation:
120,000,000 divided by 75 is 1,600,000
Answer:
did the math its 90,000,000
thats how much 75% is
Step-by-step explanation:
Kieran has $45.00 to purchase supplies to paint the top of a square wooden platform for the school play. The paint roller costs $9.75, and the paint is $17.00 per can. If one can of paint covers approximately 375 square feet, what is the maximum possible length, in feet, of
one side of the wooden platform to the nearest tenth of a foot?
F. 27.3
G. 27.4
H. 27.5
J. 28.0
K. 28.1
Answer:
Option G. 27.4 ft
Step-by-step explanation:
step 1
Calculate the maximum number of cans of paint Kieran can buy with $45
Let
x -----> the number of cans of paint
we know that
The number of cans of paints multiplied by it cost plus the cost of a rooler paint must be less than or equal to $45
so
[tex]9.75+17.00x \leq 45[/tex]
Solve the inequality for x
Subtract 9.75 both sides
[tex]17.00x \leq 45-9.75[/tex]
[tex]17.00x \leq 35.25[/tex]
Divide by 17 both sides
[tex]x \leq 2.07\ cans[/tex]
so
The maximum number of cans that Kieran can purchase is 2 cans
step 2
Find the maximum area covered with 2 cans of paint
we know that
One can of paint covers approximately 375 square feet
therefore
To find out the area covered with 2 cans multiply 375 by 2
[tex]375(2)=750\ ft^2[/tex]
step 3
Find the maximum possible length side of the wooden platform
we know that
The wooden platform is in the shape of a square
so
The area of a square is
[tex]A=b^{2}[/tex]
where
b is the length side of the square
we have
[tex]A=750\ ft^2[/tex]
substitute and solve for b
[tex]750=b^{2}[/tex]
square root both sides
[tex]b=27.4\ ft[/tex]
82/3=
a 4
b 8
c 16√2
C: 16√2 is the best choice for your question since 82/3 = about 27 and 16√2 = about 27 too, meaning that the answer that got rounded is C.
Hope this helped!
Nate
Suppose 0 is an angle in the standard position whose terminal side is in Quadrant 1 and sin 0= 84/85. Find the exact values of the five remaining trigonometric functions of 0
Answer:
Part 1) [tex]cos(\theta)=(\frac{13}{85})[/tex]
Part 2) [tex]tan(\theta)=\frac{84}{13}[/tex]
Part 3) [tex]cot(\theta)=\frac{13}{84}[/tex]
Part 4) [tex]sec(\theta)=\frac{85}{13}[/tex]
Part 5) [tex]csc(\theta)=\frac{85}{84}[/tex]
Step-by-step explanation:
we know that
Angle [tex]\theta[/tex] lie on Quadrant I
so
[tex]sin(\theta)[/tex] is positive
[tex]cos(\theta)[/tex] is positive
[tex]tan(\theta)[/tex] is positive
[tex]cot(\theta)[/tex] is positive
[tex]sec(\theta)[/tex] is positive
[tex]csc(\theta)[/tex] is positive
step 1
Find the value of [tex]cos(\theta)[/tex]
we have
[tex]sin(\theta)=\frac{84}{85}[/tex]
we know that
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
substitute
[tex](\frac{84}{85})^2+cos^2(\theta)=1[/tex]
[tex](\frac{7,056}{7,225})+cos^2(\theta)=1[/tex]
[tex]cos^2(\theta)=1-(\frac{7,056}{7,225})[/tex]
[tex]cos^2(\theta)=(\frac{169}{7,225})[/tex]
[tex]cos(\theta)=(\frac{13}{85})[/tex]
step 2
Find the value of [tex]tan(\theta)[/tex]
we know that
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
we have
[tex]sin(\theta)=\frac{84}{85}[/tex]
[tex]cos(\theta)=(\frac{13}{85})[/tex]
substitute
[tex]tan(\theta)=\frac{(84/85)}{(13/85)}[/tex]
[tex]tan(\theta)=\frac{84}{13}[/tex]
step 3
Find the value of [tex]cot(\theta)[/tex]
we know that
[tex]cot(\theta)=\frac{1}{tan(\theta)}[/tex]
we have
[tex]tan(\theta)=\frac{84}{13}[/tex]
therefore
[tex]cot(\theta)=\frac{13}{84}[/tex]
step 4
Find the value of [tex]sec(\theta)[/tex]
we know that
[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex]
we have
[tex]cos(\theta)=(\frac{13}{85})[/tex]
therefore
[tex]sec(\theta)=\frac{85}{13}[/tex]
step 5
Find the value of [tex]csc(\theta)[/tex]
we know that
[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]
we have
[tex]sin(\theta)=\frac{84}{85}[/tex]
therefore
[tex]csc(\theta)=\frac{85}{84}[/tex]