Answer: 49x^14
Step-by-step explanation:
6th grade math!!
Please help me I have a unit test tomorrow, and I’m having a hard time figuring this out. So please be quick! I think we’re supposed to use a formula for rectangles but im not sure
Restaurants often slip takeout menus under Eli's apartment door. So far, Eli has collected 28 menus, including 7 for Italian food. Considering this data, how many of the next 24 menus slipped under Eli's door should you expect to be from Italian restaurants?
Answer:
6
Step-by-step explanation:
1st You have to find what percent is 7 for 28. (25%)
2nd You have to use that 25% in the 24. You have to find what is 25% of 24 (6)
There is your answer
Have a good day!
Circle A has center of (2, 3) and a radius of 5, and circle B has a center of (1, 4) and a radius of 10. What steps will help show that circle A is similar to circle B?
Dilate circle A by a scale factor of 2.
Translate circle A using the rule (x + 1, y − 1).
Rotate circle A 180° about the center.
Reflect circle A over the y-axis.
Answer:
A
Step-by-step explanation:
To show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have two circles:
Circle A has a center of (2, 3) and a radius of 5
Circle B has a center of (1, 4) and a radius of 10
The standard circle's equation can be written as:
(x - h)² + (y - k)² = r²
The equation for circle A:
(x - 2)² + (y - 3)² = 5²
The equation for circle B:
(x - 1)² + (y - 4)² = 10²
To show that circle A is similar to circle B:
It is required to perform the geometric transformation:
Dilate circle A by a scale factor of 2.
The radius of circle A is 5 units and after dilation by a scale factor of 2, the radius of the circle becomes 10 which is the radius of circle B.
Thus, to show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.
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Frances bought 144 shares of dwyn horticulture for $7.73 apiece. her broker charged her a commission of $46.15 for the purchase. if the yearly dividend on dwyn horticulture is 61 cents per share, what is the annual yield on frances’s stock? a. 0.0758 b. 0.0789 c. 0.0132 d. 0.0320
The annual yield on Frances’s stock approximately will be 0.0758. Then the correct option is A.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Frances bought 144 shares of Dwyn horticulture for $7.73 apiece. her broker charged her a commission of $46.15 for the purchase.
Then the total amount spent by the company will be
→ 144 × $7.73 + $46.15 = $ 1159.27
If the yearly dividend on Dwyn horticulture is 61 cents per share, then the annual yield on Frances’s stock will be
[tex]\Rightarrow \dfrac{0.61 \times 144}{11592.27} \\\\\Rightarrow 0.07577[/tex]
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What is the image of ( − 6 , 9 ) after a reflection over the y-axis?
solve.
p/4 + 8 = 7
p= what?
Answer:
[tex]\huge\boxed{\bf\: p = -4}[/tex]
Step-by-step explanation:
p/4 + 8 = 7
Bring 8 to the left side of the equation.
p/4 = 7 - 8
p/4 = - 1
Bring 4 to the other side.
p = - 1 * 4
p = - 4
[tex]\rule{150pt}{2pt}[/tex]
Answer:
[tex]\boxed{\sf{p=-4}}[/tex]Step-by-step explanation:
To find the value of p, isolate it on one side of the equation.
p/4+8=7
First, you have to subtract by 8 from both sides.
p/4+8-8=7-8
Solve.
p/4=-1
Then, you multiply by 4 from both sides.
4p/4=4(-1)
Solve.
Multiply the numbers from left to right.
4(-1)=-4
[tex]\Longrightarrow: \boxed{\sf{p=-4}}[/tex]
Therefore, the final answer is p=-4.I hope this helps! Let me know if you have any questions.
5. Do 4 x (1 + 3%) and 4 x (1 + 3)' have the same answer? Explain.
Answer:
no. so the first answer I got was 4.12 and the other 16
Step-by-step explanation:
4×(1+3%)
3%=0.03
0.03+1= 1.03
1.03*4= 4.12
4*(1+3)
1+3=4
4*4=16
I hope that helps you
what would a proof look like for this equation?
Mr. blue's first year salary is $30,000 and it doubles each year. what is the explicit rule for the sequence in simplified form?
Answer: Explicit Rule: a_n=30,000 • 2^n-1
Recursive Rule: a_n = 2a_n-1; a_1 = 30,000
Step-by-step explanation: the explicit rule for a geometric sequence is a_n = a_1 • r^n-1 and the recursive rule is a_n= r • a_n -1.
a_1 is the first term of the sequence, which is this case is 30,000. R is the common ration, which is 2 since it doubles each time. Substitute those numbers into the formulas and that’s what you’ll get. Hope this helps. God bless you!!!
1. Identify the reactants and the products in the following equation. (1 point)
CaO + CO2 → CaCO3
2. Show the molecular formula and electron structure of the simplest compound that forms with only carbon and hydrogen atoms. (1 point)
3. For each equation, state the reaction type and then balance the equation. (2 points)
a. ___Na3PO4 + ___HCl → ___H3PO4 + ___NaCl
b. ___KClO3 → ___KCl + ___O2
4. You have knowledge of the outermost electron states of the atoms, trends in the periodic table, and the patterns of chemical properties. Use that knowledge to predict the products of each of the following equations. Then explain how you made your predictions. Be sure to balance the equations. (4 points)
a. ___NaBr + ___Ca → _______ + _______
b. ___Mg + ___O2 → _______
5. Identify the products of this single-replacement reaction between sulfuric acid and aluminum. Then balance the equation. (2 points)
___H2SO4 + ___Al → ___ + ___
6. (6 points)
a. Write a balanced equation for the model of a chemical reaction shown below. (The white balls represent hydrogen atoms, the black balls represent carbon atoms, and the gray balls represent oxygen atoms.) Then complete the table with information about the atoms and molecules represented in the model. Show your work. (5 points)
chemical equation
Molecule name Methane Oxygen Water Carbon dioxide
Molecular formula
H2O
Elements in molecule
C, O
Molecular mass of molecule 16.05 g/mol
Total mass in reaction
64.00 g
Total mass of all reactant molecules
Total number of reactant atoms
Total mass of product molecules
Total number of product atoms
b. How does your second table support the claim that the number of atoms — and therefore mass — is conserved during a chemical reaction? (1 point)
7. (6 points)
a. Calculate the molar mass of sucrose: C12H22O11. Show your work. (2 points)
b. Calculate the molar mass of glucose, one of the products of photosynthesis: C6H12O6. Show your work. (2 points)
c. How many molecules are in 1 mole of sucrose? (1 point)
d. How many atoms are in 1 mole of sucrose? (1 point)
8. Baking soda (NaHCO3) and vinegar (HC2H3O2) react to form sodium acetate, water, and carbon dioxide. If 42.00 g of baking soda react, how many moles of carbon dioxide will form? Show your work. (3 points)
NaHCO3 + HC2H3O2 → NaC2H3O2 + H2O + CO2
The series of questions is based on the entire concept of chemical equations. This is shown by balanced reaction equations.
What is a reaction equation?A reaction equation shows the reactants and the products in a reaction. We shall now answer the questions individually;
1) The reactants in this equation are CaO and CO2. The product is CaCO3.
2) The simplest molecule that is formed between carbon and hydrogen is CH4 with the structure shown in the image attached.
3) The balanced equations are;
a) Na3PO4 + 3HCl -----> H3PO4 + 3NaCl
b) 2KClO3 → 2KCl + 3O2
4)
a. 2NaBr + Ca ----->CaBr2 + 2Na
b. 2Mg + O2 ------->2MgO
5) 3H2SO4 + 2Al -------> Al2(SO4)3 + 3H2
6) CH4 + 202 ---->CO2 + 2H2O
7)
a. molar mass of sucrose = 12(12) + 22(1) + 11(16) = 144 + 22 + 176 = 342 g/mol
b. molar mass of glucose = 6(12) + 12(1) + 6(16) = 72 + 12 + 96 = 180 g/mol
c. There are 6 * 10^23 molecules 1 mole of sucrose
d. There are 6 * 10^23 atoms 1 mole of sucrose
8) The equation of the reaction is; NaHCO3 + HC2H3O2 → NaC2H3O2 + H2O + CO2
Number of moles of baking soda= 42.00 g/84 g/mol = 0.5 moles
Since the reaction is 1:1, 0.5 moles of CO2 is formed.
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how do you solve this?
Answer:
X = 7.8
Step-by-step explanation:
First I will mark all the Information given to us:
Angle 1: 52 Degrees
Angle 2: 90 (Marked by the box) Degrees
Angle 3: 180-(90+52) Triangle Angle Sum Therom
Simplified Angle 3: 38 Degrees
Height: 10
Base: X
Hypo: ? (we will call this y)
In order to solve this problem we must use basic trig functions such as sin, cos and tan.
I will be applying sin for the degree measure of 52 as it is applicable there.
(Sin for refrence sin(angle measure)= side opposite to angle/hypo)
So this would be in our case:
Sin(52)=10/y
Simplify
y sin(52) = 10
y = 10/sin(52) (use a calculator make sure sin is in degrees not radians)
y=10/0.78801
y=12.69018 (We have our hypo value)
We can now apply a²+b²=c²
a²+10²=12.69018²
a²+100=161.040668432 (Calculator)
a²=61.040668432
a=√61.040668432 (calculator)
a=7.81285277168
Rounded to the nearest tenth
7.8 =a=x (X is the a value in this equation)
Which sum is equal to 3 1/4+1 2/5?
Answer:
[tex]\huge\boxed{\bf\: \frac{93}{20}=4.65}[/tex]
Step-by-step explanation:
[tex]3 \frac { 1 } { 4 } + 1 \frac { 2 } { 5 }[/tex]
Now,
[tex]3 \frac { 1 } { 4 } \\= \frac{4 * 3+1}{4}\\= \frac{13}{4}[/tex]
Then,
[tex]1 \frac { 2 } { 5 }\\= \frac{1* 5+2}{5} \\= \frac{7}{5}[/tex]
So,
[tex]3 \frac { 1 } { 4 } + 1 \frac { 2 } { 5 }\\= \frac{13}{4}+\frac{7}{5}\\ \\\mathrm{LCM = 20}\\\\= \frac{65}{20}+\frac{28}{20} \\=\boxed{\bf\: \frac{93}{20}=4.65}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
GEOMETRY QUESTIONS PLEASE HELP
What is the measure of /A?
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Answer:
135 degree is the measure of angle A
Which algebraic expressions are polynomials? check all that apply. pi x minus startroot 3 endroot 5 y x2y 2 – 4x3 12y startfraction 4 over x endfraction – x2 – 16 3.9x3 – 4.1x2 7.3
By the definition of the polynomials, the expression [tex]3.9x^3 - 4.1x^2 + 7.3[/tex] is the only polynomials.
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
a. [tex]\pi x -\sqrt{3} +5y[/tex]
This expression consists of 2 variables so this is not a polynomial.
b. [tex]x^{2} y^{2} -4xy^{3} +12y[/tex]
This expression consists of 2 variables so this is not a polynomial.
c. [tex]\frac{4}{x} -4x^{2}[/tex]
Here variable x is in the denominator in term 4/x so this is not a polynomial.
d. [tex]3.9x^3 - 4.1x^2 + 7.3[/tex]
This expression satisfies all conditions of being a polynomial hence this is a polynomial.
e. [tex]\sqrt{x} -16[/tex]
Here the power of variable x is not an integer so it's not a polynomial.
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Answer:
A B E
Step-by-step explanation:
cuz i know
Item 3 The Ferrells save $150 each month for their next summer vacation. Write an equation that they can use to find y, their savings, after x months.
Answer:
y = 150x
Step-by-step explanation:
If y = savings and they save $150 each month then you can just multiply $150 by each month to get the total savings
The volume of a box is 124.4 in3. Find the volume of a larger, similarly shaped box that has a scale factor of 4. Round your answer to the nearest tenth.
Using the scale factor, the volume of the larger similar shaped box is 497.6in³.
What is a Scale Factor?A scale factor is simply the ratio of the corresponding sides of two similar objects. A scale factor of 4 simply means that the new shape is multiply four times the size of the original shape.
Given the data in the question;
Volume of original box V° = 124.4in³Scale factor SF = 4Volume of the larger box V = ?Since scale factor of 4 means that the new shape is multiply four times the size of the original shape.
Volume of the larger box V = V° × SF
V = 124.4in³ × 4
V = 497.6in³
Therefore, using the scale factor, the volume of the larger similar shaped box is 497.6in³.
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A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound. which equation represents the cost, in dollars, of shipping a package that weighs x pounds?
The equation represents the cost (in dollars) and shipping a package that weighs x pounds is y = 2(x - 1) + 6.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.
Let x be the number of pounds and y be the total cost, then we have
y = 2(x - 1) + 6
This is the required equation that describes the condition.
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Answer:
Its A on edge, f(x)=6+2[x-1]
Step-by-step explanation:
, where x > 0
The diameter of a circle is 4 in. Find its circumference in terms of T.
Answer:
C = 12.57 inches
Step-by-step explanation:
C=2πr
C=πd=π·4≈12.56637in
The perimeter of thr rectangle shown is 36 inches. Write and solve an equation to find the value of x.
Answer:
X = 3
Step-by-step explanation:
(4x-6)+(4x-6)+12+12=36
What is 14 inches rounded to the nearest inch?
Answer:
6 inches
Step-by-step explanation:
1 inch = 2.54 cm.
1 cm = 1/2.54 inches.
14 cm = 14/2.54
14 cm, when rounded to nearest inch, results in around 6 inches.
What is the value of the expression 13x−34 when x=14?
Answer:
your answer will be 13×14-34
148
Solution:First, plug in the value of x:13(14)-34Now, multiply 13 times 14:182-34Now, subtract:148Hope it helps.
Do comment if you have any query.
Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following. Number of Kilowatt-Hours Number of Kilowatt-Hours Rooms (thousands) Rooms (thousands) 12 9 8 6 9 7 10 8 14 10 10 10 6 5 5 4 10 8 7 7 a. Determine the regression equation. B. Determine the number of kilowatt-hours, in thousands, for a six-room house
For the regression equation and e the number of kilowatt-hours, in thousands, for a six-room house is mathematically given as
Y = 1.33-0.667X and 5.3332
What is the number of kilowatt-hours, in thousands, for a six-room house?Generally, the equation for the standard deviation is mathematically given as
[tex]s[/tex]ₓ =[tex]\sqrt{\frac{\sum\(X-\=X)^2}{n-1} }[/tex]
= [tex]\sqrt{\frac{66.9}{10-1} }[/tex]
= 2.72
[tex]s_y[/tex] = [tex]\sqrt{\frac{36.4}{10-1} }[/tex]
= 2.01
therefore correlation coff
r = [tex]\frac{44.6}{(10-1)(2.72)(2.01)}[/tex]
r = 0.9038
In conclusion the regression equation is given
b = r_sy/sx
b = (0.9038)(2.01/2.72)
= 0.667
intercept
a = 7.4-0.667(9.1)
a = 1.33
The regression equation is
Y = 1.33-0.667X
(b) number of kilowatts x = 6 house
Y = 1.33-0.667X
Y = 1.33-0.667(6)
= 5.3332
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Given the following data points, calculate the curve of best fit. Show all steps.
The equation of curve of best fit is y = -30.17x + 14.49. To find the curve of best fit, we would require two equations which are explained in details below.
Equation of Straight LineData;
∑x = 16∑y = 50.9∑x^2 = 35∑xy = 24.6The equation of straight line is y = ax + b
If we modify it to fit into this problem,
[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)[/tex]
Let's substitute the values into the equations and solve
[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)\\50.9 = 6*a + b*16 ...equ(i)\\24.6 = a*16 + b*35 ...equ(ii)\\50.9 = 6a + 16b ...equ(i)\\24.6 = 16a + 35b ...equ(ii)[/tex]
Let's solve both equation (i) and equation (ii)
[tex]50.9 = 6a + 16b...equ(i)\\24.6 = 16a + 35b ...equ(ii)\\a = -30.17, b = 14.49[/tex]
We can substitute the values of a and b into the equation
[tex]y = ax + b\\y = -30.17x + 14.49[/tex]
The equation of curve of best fit is y = -30.17x + 14.49
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Which of the following lists is in the correct order from smallest to largest? -13, -19, -21, -24 11, -12, 15, -19 -7, -3, 6, 2 -19, -14, 5, 11
Answer:
-24, -21, -19, -19, -19, -14, -13, -12, -7, -3, 2, 5, 6, 11, 11, 15
Step-by-step explanation:
Hey there!
To put the numbers in least to greatest form, you need to put the biggest numbers with a - sign in front of it
This means negative
Negative means below zero
Then after putting the big negative numbers, you put positive numbers going from smallest to largest
So the numbers in least to greatest is -24, -21, -19, -19, -19, -14, -13, -12, -7, -3, 2, 5, 6, 11, 11, 15
scientists measure a bacteria sample in a petri dish
Answer:
to grow bacterial cultures
3x + 3y = 18
5x + 3y = 28
Answer:
(5, 1 )
Step-by-step explanation:
3x + 3y = 18 → (1)
5x + 3y = 28 → (2)
subtract (1) from (2) term by term to eliminate y
(5x - 3x) + (3y - 3y) = 28 - 18
2x + 0 = 10
2x = 10 ( divide both sides by 2 )
x = 5
substitute x = 5 into either of the 2 equations and solve for y
substituting into (1)
3(5) + 3y = 18
15 + 3y = 18 ( subtract 15 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
solution is (5, 1 )
[tex]x=6-y[/tex]
[tex]x=\frac{28-3y}{5}[/tex]
The average temperature of the top 5 meters in April is 22,500 cubic meters. 2. Typical seawater has a salinity of 35 psu (practical salinity units). In which month is the difference in salinity of surface and bottom waters the greatest
The months where the difference in salinity of surface and bottom waters was the greatest was in April and September.
What is salinity?It should be noted that salinity simply means the accumulation of salt in land as well as water.
In this case, the months where the difference in salinity of surface and bottom waters was the greatest was in April and September.
This is because many events take place such as continuous flowing or river water into the sea, evaporation, and melting of ice.
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HELP!please HELP!please
value of YZC in the follow
Answer:
URMMM WHERE IS THE DIAGRAM...
A group of 12 friends bought a boat costing $5,424. Each of the friends paid an equal share of the cost. How much did each person pay?
Answer:
452
Step-by-step explanation:
5424/12 is equal to 452
Each person pay $452.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A group of 12 friends bought a boat costing $5,424.
Now,
Since. A group of 12 friends bought a boat costing $5,424.
Hence, The cost of each person pay = $5,424 / 12
= $452
Thus, Each person pay $452.
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