Answer:
Given,
mass of snow flake = 2 kg
mass of midnight = 997 gm
Now,
1 kg = 1000 gm
2 kg = 1000 * 2
= 2000 gm
therefore the difference between the masses of the kittens = 2000
- 997
= 1003 gm (is the answer)
Matt and his brother will each work 13 hours this week for their dad. If Matt earns $14.00 an hour and his brother earns $17.00 an hour, how much will Matt earn by the end of the week? *
Answer:
$182.00
Step-by-step explanation:
We know that Matt will work for 13 hours, and that he will earn 14.00 an hour. We are asked how much Matt will earn by the end of the week. Because Matt's earnings are not based on his brother's earnings, we can disregard how much his brother makes.
We add 14.00 13 times, as Matt earns 14 dollars for each hour and he works for 13 dollars. This is equal to multiplying 14 by 13, resulting in 14 * 13 = 182 as our answer
According to the scale drawing, how wide will the actual patio be?
m
Garden
Patio
7 cm
Scale 1 cm: 2 m
The width of the actual garden patio according to the scale drawing is 14 meters.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Given the scale of 1 cm : 2 m
For a patio of 7 cm, then:
Actual patio = 7 cm / (1 cm/ 2m) = 14 m
The width of the actual garden patio according to the scale drawing is 14 meters.
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A label prints in the pediatric pharmacy
satellite for 500 mL of dextrose 15% solu-
tion. This concentration is not available
commercially and needs to be compound-
ed. Available in your pharmacy, you have
a 1 L bag of sterile water and a 1 L bag
of dextrose 70% available to compound
the solution. How many mLs of each are
needed to make the requested solution?
Answer:
107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.
Step-by-step explanation:
Since a label prints in the pediatric pharmacy satellite for 500 mL of dextrose 15% solution, but this concentration is not available commercially and needs to be compounded, and available in your pharmacy, you have a 1 L bag of sterile water and a 1 L bag of dextrose 70% available to compound the solution, to determine how many mLs of each are needed to make the requested solution, the following calculation must be performed:
500 x 0.15 = 75
100 x 0.70 = 70
A x 0.70 = 75
A = 75 / 0.70
A = 107.14
Therefore, 107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.
Betty received $ 500,000 from a life insurance policy to be distributed to her as an annuity certain in 10 equal annual installments with the first payment made immediately. On the day she receives her third payment, she is offered a monthly perpetuity of X in lieu of the future annual payments. The first payment will be made in exactly one month. The effective annual rate of interest is 8 %. Determine the value of X.
9514 1404 393
Answer:
annual payment: $68,995.13monthly payment in perpetuity: X = $2394.76Step-by-step explanation:
a) For payments made at the beginning of the period, the annuity is called an "annuity due." The formula in the first attachment tells how to compute the payment for a given present value ($500,000), number of periods (N=10), and interest rate (i=0.08).
pmt = $500,000/(1 +(1 -(1 +i)^(-N+1))/i) = $500,000/(1 +(1 -(1.08^-9))/.08)
pmt ≈ $68,995.13 . . . . annual payment
__
b) After the first payment, the account balance is ...
$500,000 -68,995.13 = $431,004.87
After subsequent payments, the account balance will be ...
$431,004.87×1.08 -68,995.13 = $396,490.13 . . . after 2nd payment
$396,490.13×1.08 -68,995.13 = $359,214.21 . . . after 3rd payment
The payment amount that can be made in perpetuity is the amount of the monthly interest on this balance:
X = $359,214.21 × (0.08/12) = $2394.76
If anyone can please help me
Answer:
1/4
Step-by-step explanation:
5 orange + 5 mango = 10
P( mango ) = mango /total = 5/10 = 1/2
Replace
5 orange + 5 mango = 10
P(orange ) = orange /total = 5/10 = 1/2
P(mange, replace, orange) = 1/2 * 1/2 = 1/4
Solve for x. 5x/7 - 5 = 50
Answer:
solution,
5x/7-5=50
5x-35=50
5x=50-35
5x=15
x=15/5
x=3.
Answer:
x = 77
Step-by-step explanation:
Solve for x:
5x/7 - 5 = 50
5x/7 -5 (+5) = 50 (+5)
5x/7 = 55
5x/7 (*7) = 55 (*7)
5x = 385
5x (÷5) = 385 (÷5)
x = 77
For the rational function f(x)=5−xx2+5x+6, find the points on the graph at the function value f(x)=3.
Given:
The rational function is:
[tex]f(x)=\dfrac{5-x}{x^2+5x+6}[/tex]
To find:
The points on the graph at the function value [tex]f(x)=3[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{5-x}{x^2+5x+6}[/tex]
Substituting [tex]f(x)=3[/tex], we get
[tex]3=\dfrac{5-x}{x^2+5x+6}[/tex]
[tex]3(x^2+5x+6)=5-x[/tex]
[tex]3x^2+15x+18=5-x[/tex]
Moving all the terms on one side, we get
[tex]3x^2+15x+18-5+x=0[/tex]
[tex]3x^2+16x+13=0[/tex]
Splitting the middle term, we get
[tex]3x^2+3x+13x+13=0[/tex]
[tex]3x(x+1)+13(x+1)=0[/tex]
[tex](3x+13)(x+1)=0[/tex]
Using zero product property, we get
[tex](3x+13)=0\text{ or }(x+1)=0[/tex]
[tex]x=-\dfrac{13}{3}\text{ or }x=-1[/tex]
Therefore, the required values are [tex]-\dfrac{13}{3},-1[/tex].
P v ~Q => Q
Construct truth table
Please need it ASAP
p … q … ¬q … p ∨ ¬q … (p ∨ ¬q) ⇒ q
T … T … F … T … T
T … F … T … T … F
F … T … F … F … T
F … F … T … T … F
Start with the first two columns, taking every possible pair of True/False for p and q.
¬q is just the negation of q, so True becomes False and False becomes True.
p ∨ q is the logical disjunction, or logical "or". It's True if either p or q is True, and False otherwise. So p ∨ ¬q is True only if either p or ¬q is True.
p ⇒ q is the logical implication. It's True only when both p and q are True, or when p is False. So (p ∨ ¬q) ⇒ q is True when both p ∨ ¬q and q are True, or when p ∨ ¬q is False.
A triangular spatula has side lengths of 6 inches, 6 inches, and 4 inches. Is this spatula acute, obtuse, or right? Explain how you know the answer.
If you have time plz help me
Answer:
option 2 4x²- 8x -4 ghhhhhhhhhhj8
X(1 1 -1;2 1 0;1 -1 1)=(1 -1 3;4 3 2;1 -2 5)
Step-by-step explanation:
What does the way in which Yudhishthira deals with the Yaksha’s
questions tell you about him?
ASAP PLSSS!!!!!!!!!!1!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: i think its the last one bc if you multiply 9 and 3 in its gets you 18
Step-by-step explanation:
Answer:
V=(1/3)πr²h
v=
[tex] \frac{1}{3} \times {3}^{2} \times 9 \times \pi \\ = 27\pi[/tex]
27pi in³
27pi in³First option
Brainliest please~
Find the measure for rus
Answer:
90
Step-by-step explanation:
39+23+28=90
180-90=90
write the numeral of twelve Arab sixty core
Answer:
12600000000
Step-by-step explanation:
write the numeral of twelve Arab sixty core
The numeral of twelve Arab sixty core is
=> 12600000000
hope it is helpful to you
Step-by-step explanation:
the numeral from is 12600000000
Add 1/4 + 5/14 +6/7 Simplify the answer and write it as a mixed number.
Answer:
[tex]\frac{41}{28}[/tex] = [tex]1\frac{13}{28}[/tex]
Step-by-step explanation:
In order to add fractions, the denominators must all be the same value (the lowest common denominator). The lowest common denominator is the smallest value that all of the given denominators (in this case, the denominators are 4, 14, and 7) can divide into.
Here, the smallest number that all three of the given denominators can perfectly divide into is 28:
28 ÷ 4 = 7
28 ÷ 14 = 2
28 ÷ 7 = 4
Therefore, our lowest common denominator is 28.
The next step is to change our numerators to match our lowest common denominator. To do this, we have to multiply the numerator by the same value that we would need to multiple the denominator by in order to get our lowest common denominator.
For our first term of 1/4, we need to multiply our denominator (4) by 7 in order to get our lowest common denominator of 28. So, we need to also multiply our numerator by 7:
[tex]\frac{1}{4}[/tex] × [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{28}[/tex]
Therefore, our first term becomes [tex]\frac{7}{28}[/tex].
For our second term of 5/14, we need to multiply our denominator (14) by 2. So, we need to also multiply our numerator by 2:
[tex]\frac{5}{14}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{28}[/tex]
Therefore, our second term becomes [tex]\frac{10}{28}[/tex].
For our third term of 6/7, we need to multiply our denominator (7) by 4. So, we need to also multiply our numerator by 4:
[tex]\frac{6}{7}[/tex] × [tex]\frac{4}{4}[/tex] = [tex]\frac{24}{28}[/tex]
Therefore, our third term becomes [tex]\frac{24}{28}[/tex].
Now that they all have the same denominator, we simply have to add all three together:
[tex]\frac{7}{28}[/tex] + [tex]\frac{10}{28}[/tex] + [tex]\frac{24}{28}[/tex] = [tex]\frac{41}{28}[/tex]
When we simplify this into a mixed number, we get:
[tex]\frac{41}{28}[/tex] = [tex]1\frac{13}{28}[/tex]
Answer:
41/28 = 1 (13/28)
Step-by-step explanation:
gotta make the denominators the same.
17. What is the solution to -7s=-35? (1 point)
Os=-6
Os=-5
Os = 5
Os=6
Answer:
(+5)=S , be the correct answer
Answer: s = +5
Step-by-step explanation: Since s is being multiplied by -7, to get s by itself, we need to divide by -7 on both sides of the equation.
So we get s = +5 which is the solution to our equation.
Enter the letter for the function graphed below.
A) y=3^sqrt x-3
B) y=3 sqrt x -3
Answer: е) Step-by-step explanation: we know the coordinates of the points so we can easily determine which function this is To begin with, let's take any two points with an integer coordinates let these be two points with coordinates (1 ; 4) and (0 ; 3) Now let's check [tex]a) \ \displaystyle\bf 4=\sqrt[3]{1-3} \ \ wrong[/tex] and all other options except option e are incorrect because [tex]\displaystyle\ e) \sqrt[3]{1} +3=4 \ \ right[/tex]
a rice cooker was sold for $60 after a discount of 60% waht was the usual price of the rice cooker with explaination simple method for class 5
Answer:
$150
Step-by-step explanation:
So, 60 dollars is 40% of the original price. So 30 dollars is 20% of the original price, and 150 dollars is 100% of the original price. So, the original value of the rice cooker is 150 dollars.
Answer:
The price of the Rice Cooker was 150$.
Step-by-step explanation:
So if you buy an item at $150 with 60% discounts, you will pay $60 and get 90 cashback rewards ... interest per annum, dollars, pounds, coupons,60% off, 60% of price or something, we ... For example 5% of 20, which is the same thing as fraction x/100 * 20=5%. ... Formula and equation for % of something or whole numbers.
[tex] {4}^{m} = \frac{1}{16} \\ find \: m[/tex]
Answer:
[tex] {4}^{m} = \frac{1}{16} [/tex]
[tex] {4}^{m} = {4}^{ - 2} [/tex]
[tex]same \: base \: so[/tex]
[tex]m = - 2[/tex]
[tex]hope \: this \: help \: u[/tex]
Answer:
Answer:
{4}^{m} = \frac{1}{16}4
m
=
16
1
{4}^{m} = {4}^{ - 2}4
m
=4
−2
same \: base \: sosamebaseso
m = - 2m=−2
hope \: this \: help \: uhopethishelpu
One loaf of bread and six rolls cost $1.80. At the same prices, two loaves of bread and four rolls cost $2.40. How much does one loaf of bread cost. I have go the answer which is 90 cents and one roll costs 15 cents but the math Olympiad book solution does not explain it well can someone explain it better?
9514 1404 393
Answer:
loaf: $0.90; roll: $0.15
Step-by-step explanation:
Let b and r represent the cost of a loaf of bread and a roll, respectively.
The two purchases can be written in equation form as ...
b +6r = 1.80
2b +4r = 2.40
__
The usual ways to work problems like this are "substitution" or "elimination". The latter is sometimes called "addition."
SubstitutionThe way these equations are written, we can see that it is relatively easy to write an expression for b from the first equation:
b = 1.80 -6r
Substituting that into the second equation, we get ...
2(1.80 -6r) +4r = 2.40
3.60 -8r = 2.40 . . . . . . . collect terms
1.20 = 8r . . . . . . . . . . add 8r-2.40
0.15 = r . . . . . . . . . divide by 8
Then substituting this into the expression for b, we have ...
b = 1.80 -6r = 1.80 -6(0.15) = 0.90
One loaf costs $0.90; one roll costs $0.15.
__
EliminationThe idea with "elimination" is to combine the equations in such a way that one of the variables is eliminated in the process. Here, there are several ways that can be done.
We recognize that the b-coefficient in the second equation is double that in the first equation. So, we can subtract the second equation from double the first equation to make the b-terms disappear.
2(b +6r) -(2b +4r) = 2(1.80) -(2.40)
8r = 1.20 . . . . . . . simplify
r = 0.15 . . . . . . . divide by 8
Using the first equation, we can find b:
b + 6(0.15) = 1.80
b = 0.90 . . . . . . . . . subtract 0.90
One loaf costs $0.90; one roll costs $0.15.
__
Another way we can eliminate one of the variables is to rewrite the second equation without its excess factor of 2:
b +2r = 1.20
Then subtracting the first equation from 3 times this will eliminate the r variable:
3(b +2r) -(b +6r) = 3(1.20) -(1.80)
2b = 1.80 . . . . . . . . . simplify
b = 0.90
Then, using the above version of the second equation, we have ...
0.90 +2r = 1.20
2r = 0.30
r = 0.15
One loaf costs $0.90; one roll costs $0.15.
There are 10 friends who are trying to play and beat the video game, Breath of the Wild. There are 76 side quests in this game. Some of them think that side quests are important, and some do not. The number of side quests completed by the ten friends are as follows:
25, 28, 29, 30, 34, 35, 35, 37, 38
Required:
Find the 5 Number Summary.
Answer:
2; 28.5 ; 34 ; 36 ; 38
Step-by-step explanation:
Given the data:
X = 25, 28, 29, 30, 34, 35, 35, 37, 38
n = 9
Values have been arranged in ascending order ;
The 5 number summary :
Maximum value : highest data value in the list = 38
Minimum value : Lowest data value in the list = 25
The lower quartile ; Q1 = 1/4(n+1)th term
Q1 = 1/4(10) th term = 2.5th term
Q1 = (2nd + 3rd) / 2 = (28+29)/2 = 28.5
Q2 = 1/2(n+1)th term
Q2 = 1/2(10) th term = 5th term
Q2 = 34
Q3 = 3/4(n+1)th term
Q3 = 3/4(10) th term = 7.5th term
Q3 = (7th + 8th) / 2 = (35+37)/2 = 36
Maximum value = 38 (highest data value in the list)
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions. Chapter 14 part 2
3. What are two ways that a vector can be represented?
4. While playing basketball, Sofia takes notes of the extreme vectors for which she bats. What is the angle between her two extreme bats? Extreme: <-8, 12>
Extreme 2: <13, 15> SHOW YOUR WORK!!!!
Answer:
See below
Step-by-step explanation:
3. What are two ways that a vector can be represented?
Considering a vector [tex]\vec{v}[/tex] in some vector space [tex]\mathbb R^n[/tex] we have
[tex]\vec{v} = \langle a,b\rangle[/tex]
This is the component form. I don't like that way. It is probably used in high school, but
[tex]\vec{v} = \begin{pmatrix} a\\ b\\ \end{pmatrix}[/tex]
is preferable because the inner product on [tex]\mathbb R^n[/tex] is defined to be
[tex]$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$[/tex]
You can also write it using linear form such as [tex]\vec{v} = 2i+2j[/tex]
4.
For this question, I think you meant
vectors
[tex]\vec{u_1} = (-8, 12)[/tex]
[tex]\vec{u_2} = (13, 15)[/tex]
Once
[tex]\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}[/tex]
Considering that the dot product is
[tex]\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76[/tex]
and the norm of [tex]\vec{u_1}[/tex] is [tex]||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}[/tex]
and the norm of [tex]\vec{u_2}[/tex] is [tex]||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}[/tex]
Thus,
[tex]\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}[/tex]
[tex]\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)[/tex]
Find the probability of a couple having at least 1 girl among 4 children. Assume that boys and girls are
equally likely and that the gender of a child is independent of the gender of any brothers or sisters.
Answer:
15/16 (93.75%)
Step-by-step explanation:
List of Possible Combinations:
BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG
As you can see, only 1 out of 16 of the possible combinations is all boys. This means that the chance of at least 1 girl among the 4 children is 15 out of 16 (15/16) or 93.75%
Find the x and y intercepts and graph 2x − y = −8
Answer:
-2
Step-by-step explanation:
2x-y=-8-1equation
2x=-8+y
x=-8+y -2equation
2
then, taking 1st equation;
2x-y=-8
2(-8+y/2)-y=-8
-16+2y-y=-8
4
-16+2y-4y=-8
4
-16-2y=-8*4
-2y=-32+16
y=-16/-2
y=4
for x
x=-8+y
2
x=-8+4
2
x=-4
2
x=-2
=2x^2 − 8 + 6 what is the vertex
Answer:
(0,-2)
Step-by-step explanation:
Estimate the line of best using two points on the line.
The winter group provides tax advice
what? ;-;.............
what is the percent decrease on a Tv that has been marked down from $550 to $420? round to the nearest tenth
The percent decrease on a TV after the markdown to the nearest tenth is 23.6%.
What is the percent decrease on the TV after the markdown?The percent decrease formula can be expressed as:
Percent decrease = [( original value - new value ) / original value ] × 100%
Given the data in the question:
The original value of the TV = $550
New value after markdown = $420
Percent decrease =?
Plug the given values into the above formula and solve for the percent decrease.
Percent decrease = [( original value - new value ) / original value ] × 100%
Percent decrease = [( 550 - 420 ) / 550 ] × 100%
Percent decrease = [ 130 / 550 ] × 100%
Percent decrease = 0.2363 × 100%
Percent decrease = 23.6%
Therefore, the percent decrease is 23.6%.
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I need help i don't get it !!!!!
Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 30 = x/8
8 sin 30 =x
8 (1/2) = x
4
Answer:
The answet is A. 4
Step-by-step explanation:
Need help on this one someone plz help!
Step-by-step explanation:
This is a translation (x + 5, y + 2).