Answer:
they all are being multiplied by 10
Step-by-step explanation:
0.01 x 10 = 0.1
0.1 x 10 = 1
1 x 10 = 10
10 x 10 = 100
a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape
ice concentrate is 3 to 1.
a. Find two more ratios of cups of sparkling water to cups of juice concentrate that
would make a mixture that tastes the same as this recipe.
b. Describe another mixture of sparkling water and grape juice that would taste
different than this recipe.
Lesson 3 Practice Problem
Answer:
3:2
Step-by-step explanation:
You need to find two more equivalent ratio of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.
Another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate
Ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1
ratio of cups of sparkling water : cups of grape juice concentrate = 3 : 1
Equivalent ratio to 3 : 1 are
6 : 2,
9 : 3,
12 : 4
15 : 5
21 : 7
Non equivalent ratio of 3 : 1 are
3 : 2
4 : 2
5 : 5
6 : 4
Therefore, another mixture of sparkling water and grape juice that would taste different than this recipe is 3 : 2 of cups of sparkling water to cups of juice concentrate
Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus
The equation of the line in the graph is y = 4x - 9..
How to find the equation of a line?The equation of a line in slope intercept form can be represented as follows:
The line forms a linear equation.
Therefore,
y = mx + b
where
m = slopeb = y-interceptTherefore, using (0, -9)(3, 3) let's find the slope
m = 3 + 9 / 3 - 0
m = 12 / 3
m = 4
Therefore, let's find the y-intercept using (0, -9).
-9 = 4(0) + b
b = -9
Therefore, the equation is y = 4x - 9.
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What is the next fraction in this sequence? Simplify your answer.
9
14
,
4
7
,
1
2
,
3
7
,
Answer:
5/14
Step-by-step explanation:
they subtract 1/14th each time
(You cant simplify)
Your friend uses the figure to say that all the exterior angles of any isosceles triangle are congruent. Is your friend correct? Explain your reasoning
Answer:
All the exterior angles of any isosceles triangle are congruent - FALSE statementStep-by-step explanation:
We know that the exterior angle of a triangle is the sum of remote interior angles.
If the triangle is equilateral then the sum of any two interior angles is same otherwise, with any isosceles triangle, we get different sums and therefore the friend is wrong.
Answer:
No.
Step-by-step explanation:
An isosceles triangle has two sides of equal length. Therefore, only two of its interior angles are congruent.
The exterior angle of a triangle is equal to the sum of the two opposite interior angles (remote interior angles). Therefore, as not all of the three interior angles of an isosceles triangle are congruent, all the exterior angles will also not be congruent.
helppppppppppppppppppppppppp
Answer:
E
Step-by-step explanation:
I am a line & domain is -7
See question in screenshot below.
The equation of the transformation of the exponential function y = 2ˣ in the form y = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is y = (-2)·2ˣ + 3
What is an exponential equation?An exponential equation is an equation that has exponents that consists of variables.
The given equation is y = 2ˣ
The equation for the transformation is; y = A·2ˣ + k
The points on the graphs are;
(0, 1), (1, -1) and (2, -5)
Plugging the x and y-values to find the value A and k gives the following simultaneous equations;
When x = 0, y = 1, therefore;
1 = A·2⁰ + k = A + k
1 = A + k...(1)
When x = 1, y = -1, which gives;
-1 = A·2¹ + k
-1 = 2·A + k...(2)
Subtracting equation (1) from equation (2) gives;
-1 - 1 = 2·A - A + k - k
-2 = A
1 = A + k, therefore;
1 = -2 + k
k = 2 + 1 = 3
k = 3
Which gives;
y = -2·2ˣ + 3 = 3 - 2·2ˣ
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Juan has a sandbox and wants to double the length, width and height. if the original box holds 1 cubic foot of sand, how many more cubic feet of sand must be added to fill the box
The box must be added with 7 cubic feet of sand
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also be defined as the capacity of an object.
It is measured in cubic units.
The volume of a box is length × width × height
represent the original length, width and height by x ,y ,z respectively
This shows that the volume of the original box= x× y× z = 1cubic foot
when the original length, width and height are doubled to give the new dimensions
Therefore the new length,width and height will be 2x, 2y and 2z
the volume of the new formed box = 2x×2y×2z
= 8xyz
XYZ= 1cubic foot
therefore 8xyz = 8cubic feet
since there is 1 cubic foot of sand in the box already,
then( 8-1)cubic feet = 7cubic feet will be added.
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(Lesson 22)
P=L(+)
a. Find the monthly payment P on a $75,000 loan with an
annual interest rate of 4% (let r= .9967) and a term of
20 years (n = 240 months). Show your work below and
circle your final answer.
The monthly payment is 38455 when the P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4%.
Given that,
We have to calculate the monthly payment P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4% (let r=.9967).
We know that,
Formula for monthly payment is P(i(1+i)ⁿ/(1+i)ⁿ-1)
Here,
P is principal amount $75,000
n is number of months 240 months
i is interest rate 4% is 0.04
=P(i(1+i)ⁿ/(1+i)ⁿ-1)
=75,000(0.04(1+0.04)²⁴⁰/(1+0.04)²⁴⁰-1)
=75,000(0.04(1.04)²⁴⁰/(1.04)²⁴⁰-1)
=75,000(0.04(12246.20236)/(12245.20236)
=75,000(0.04×1.000081665)
=38455
Therefore, The monthly payment is 38455 when the P for a $75,000 loan with a 20-year term (n = 240 months) and an annual interest rate of 4%.
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Help quick please this is hard for me
Answer:
525 cm
Step-by-step explanation:
a heptagon has 7 sides and it can be split into 7 different equal triangles and one already has the side so we just find the area of the triangle.
1/2(12)(12.5)
6(12.5)
75
75 is the area of the triangle so now we multiply by 7
75x7=525 cm
Hopes this helps please mark brainliest
Answer: 525 cm squared
Step-by-step explanation:
Find the area of 1 of the Isoceles triangle and then multiply it by 7, because there are 7 Isoceles triangles in the heptagon. Area= 1/2 base x height = 1/2 x 12cm x12.5cm = 75cm squared. Now 75 cm squared x 7 = 525 cm squared
Use the graph below to answer the following questions.
⦁ Estimate the available territory at 20 years
⦁ Estimate the available territory at 15 years
⦁ Does this graph represent exponential growth or decay?
⦁ As the time decreases the available territory _______________
Answer:
a) about 190 acres
b) around 240 acres
c) exponential decay because the amount of land available is decreasing at an increasingly rapid rate over time.
Solve for x.
Please help asap
what is 2 +2
4+5
0+9
Answer:
Step-by-step explanation:
2+2=4
4+5=9
0+9=9
Answer:
4, 9 , 9 OR 4 + 9 + 9 = 22
Step-by-step explanation:
A local grocery store offers 3 brands of laundry detergent. Brand A costs $14.99 and contains 40 fluid ounces of detergent. Brand B costs $19.99 and contains 50 fluid ounces of detergent. Brand C costs $21.99 and contains a half-gallon of detergent. Which of the detergents has the best value?
Answer:
$ 52.63
Step-by-step explanation:
The brand C detergent has the best value.
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.
As per the given data in the question:
The information regarding the quantity and cost of 3 detergents is given in the question.
We have to find out which detergent is the most economical.
The detergent with the lowest cost/quantity will be the most economical.
For Brand A
Cost = $14.99
Quantity = 40 ounces
cost/quantity = 14.99/40 = 0.374 dollar/ounce
For Brand B
Cost = $19.99
Quantity = 50 ounces
cost/quantity = 19.99/50 = 0.399 dollar/ounce
For Brand C
Cost = $21.99
Quantity = 1/2 gallon = 64 ounces
cost/quantity = 21.99/64 = 0.343 dollar/ounce
The brand C detergent has the best value.
Hence, The brand C detergent has the best value.
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Find an nth-degree polynomial function with real coefficients satisfying the given conditions.
n=4;
i and 2i are zeros;
f(-1)=20
f(x) = ?
(Type an expression using x as the variable. Simplify your answer.)
The polynomial satisfying the given conditions is given as 2x⁴ + 10x² + 8.
What is a polynomial?The polynomial is an algebraic expression in which no any terms has the power other than a whole number.
The degree of a polynomial is the highest power of one of its terms.
Given that,
The degree of polynomial is n = 4.
The zeros of the polynomial are i and 2i.
And, f(-1) = 20
Since, a polynomial with real coefficients have either real zeros or complex conjugate zeros.
Here, the given zeros of the polynomial are imaginary which implies that the remaining two zeros are the conjugate of the given two zeros.
Thus, the zeros of the given polynomial are i, 2i, -i and -2i.
The general form of a 4th degree polynomial is given as,
ax⁴ + bx³ + cx² + dx + e
Use the factor theorem to get,
ax⁴ + bx³ + cx² + dx + e = K(x - i) (x - (-i)) (x - 2i) (x- (-2i)) (1)
⇒ ax⁴ + bx³ + cx² + dx + e = K(x² + 1) (x² + 4) (2)
Now, f(-1) = 20 which gives,
K((-1)² + 1) ((-1)² + 4) = 20
⇒ k = 2
Substitute K =2 in equation (2) to get,
ax⁴ + bx³ + cx² + dx + e = 2(x² + 1) (x² + 4)
⇒ ax⁴ + bx³ + cx² + dx + e = 2(x⁴ + 5x² + 4)
⇒ ax⁴ + bx³ + cx² + dx + e = 2x⁴ + 10x² + 8
Hence, the nth-degree polynomial function with real coefficients satisfying n = 4 and zeros i and 2i is 2x⁴ + 10x² + 8.
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The pH of solution measures its acidity and can be determined using the formula pH= -log(base of 10 )C, where is the concentration of hydronium ions in the solution. measured in moles per litre .A lower pH indicates a more acidic solution.
The concentration of Hydronium ions type of coffes is 1.3 x 10above-5 moles per liter .
Calculate the pH of the coffee.
The value of pH of the coffee is 4.89
How to determine the pH of the coffee?pH is a measure of hydrogen ion concentration, a measure of the acidity or alkalinity of a solution
Given: The formula pH= -log₁₀ C,
where is the concentration of hydronium ions in the solution measured in moles per litre
The concentration(C) of Hydronium ions type of coffee is 1.3 x 10⁻⁵ moles per liter
To calculate the pH, we will substitute the value of the concentration (C) into the given formula:
pH= -log₁₀ C (C = 1.3 x 10⁻⁵ moles per liter)
pH = -log₁₀(1.3 x 10⁻⁵) = 4.89
Therefore, the pH of the coffee is 4.89
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Question 2b answer please
and working out
Answer:
20 mph
Step-by-step explanation:
If it took the car originally 12 minutes to travel the road with an average speed of 60 mph. Than you would just divide the average speed by three because it is taking 3 times the amount of time than it would originally.
36/12=3
60/3=20
20 mph
Bahir is h cm tall. Sienna is 4 cm taller than Bahir.
Write down an expression, in terms of h, for Sienna’s height.
Answer:
.
Step-by-step explanation:
1. What is the result if you divide -12x8y8 by 3x4y ²?
O A. 4x4yê
O B. 4x²y
O C.-4x²yA
O D. -4x^y6
Please look at photo, it didn’t type correctly.
5 pounds=______ounces
Answer:
Step-by-step explanation:
1. Basic systems in fluids: 1 pound equals 16 ounces.
2. Multiply 16 ounces by 5 to become equivalent!
16 ounces*5= 80 ounces!
3. Always double check
80 ounces/16=5 pounds
Answer: 80 ounces
What is the y-intercept of the function f(x) = 2 ^x?
A.27
B.2
C. 6
D. 1
Answer:
D
Step-by-step explanation:
the y- intercept is the value of y on the y- axis where the function crosses.
the function crosses the y - axis when x = 0
substitute x = 0 into f(x)
f(0) = [tex]2^{0}[/tex] = 1
y- intercept is 1
Exercises 12 -15, decide whether the statement is correct or incorrect. Explain your reasoning in words or by drawing pictures. 12. 1/3 equal to 4/12 13. 4/6 equal to 2/3 14. 2/5 equal to 1/3 15. 2/5 equal to 5/10.
The correct statement:
1/3 equal to 4/12; 4/6 equal to 2/3; 2/5 equal to 5/10
incorrect statement: 2/5 equal to 1/3
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
a) 4/12
Writing into Simplest form
4/12 = 1/3
b) 4/6
Writing into Simplest form
4/6 = 2/3
c) 2/5 cannot be simplified to 1/5
d) 5/10
Writing into Simplest form
5/10= 1/2
Hence, The correct statement: 1/3 equal to 4/12; 4/6 equal to 2/3; 2/5 equal to 5/10 and incorrect statement: 2/5 equal to 1/3.
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Solve for d. 3 + d < 3 −d
d < −6
d < 6
d < 0
d < −3
Answer:
d is great than -3
Step-by-step explanation:
because negative numbers are less than whole numbers
Calculate the height (in m) of a cliff if it takes 2.41 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.14 m/s. (Enter a number.)
How long (in s) would it take to reach the ground if it is thrown straight down with the same speed? (Enter a number.)
The height of the cliff is 7.57m and the time to reach the ground when thrown straight down is 0.814s
What is motion under gravity?Motion under gravity refers to the movement of an object whose vertical motion is affected by the presence of gravity. The force that attracts objects downwards is GRAVITY. In fact, gravity works towards the centre of the Earth.
When an object is moving upward,it is moving against gravity and when it is moving down it is moving with gravity.
from equation of motion
H= ut-1/2gt^2( the object is moving upward)
where h is the height of the cliff and u is the initial velocity and g is acceleration due to gravity
(g=10ms^-2).
therefore h= 8.14×2.41-(1/2×10×2.41)
= 19.62-12.05
h= 7.57m
when the object is thrown Down,
V = u + gt
u will be 0 at top before coming down
V = gt
t= 8.14/10
= 0.814s
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what kind of transformation converts the graph of f(x)= -10(x-2)^2 into the graph of g(x)= -2(x-2)^2
The transformation that converts f(x) to g(x), f(x) is contraction by 5 units
What are transformations?Transformations are mathematical operations which change the shape and orientation of an object or function.
The types of transformations include
Dilation, Reflection, translationcontraction and rotationHow to find what kind of transformation converts f(x) to g(x)?Since we have the graph of f(x) = -10(x - 2)² into the graph of g(x)= -2(x - 2)².
We see that f(x) = -10(x - 2)²
= 5 × -2(x - 2)²
= 5g(x)
Since f(x) = 5g(x)
⇒g(x) = f(x)/5
So, we converts f(x) to g(x), f(x) is contraction by 5 units
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It takes a word processor 45 minutes to word process and spell check 12 pages. Find how long it takes her to word process and
spell check 40 pages.
It takes the word processor
minutes.
Answer: the correct answer is 150 minutes for 40 pages.
Step-by-step explanation:
It takes a word processor 45 minutes to word process and spell check 12 pages.
45 minutes / 12 pages = 3.75 minutes per page
3.75 min/page x 40 pages = 150 minutes
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A person needs to borrow $10,000 for 240 days. A lender offers a 9% simple discount note/loan. Determine the amount of interest for the loan and the proceeds of the discounted note. Label each. (Use 365 days)
The simple interest on a $10000 loan offered at a rate of 9% over 240 days is $10591.78
Simple InterestSimple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
The formula is given as
S.I = p(1 + rt)
S.I = simple interestp = principalr = ratet = timeSubstituting the values into the equation,
S.I = 10000(1 + 0.09 * 240)
S.I = 10591.78
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The graph shows Derek’s pay compared to the hours he has worked.
What is Derek’s hourly rate of pay?
Charlie earns $52.25 in 5 hours of work. What is Charlie’s hourly rate of pay?
Who gets paid more per hour? How much more?
Answer:
Charlie gets paid more then Derek. Charlie gets paid per hour $52.25
Oliver saves 10% of his weekly earnings for living expenses. He usually makes $520 each week. This week he made 10% more. Oliver incorrectly claims that he has $520 left for spending money this week.
Answer:
10% of $520
=$52
Money made this week :
$520+$52=$572
Saving:
10% of $572
=$57.2
Money left:
$572-$57.2=$514.8
Please mark as brainliest
Answer: We have been given that,
Oliver's weekly earnings = $520
His earnings this week = 10% of $520 +$520
= $520+$52= $572
As he saves 10% of his weekly earnings so he would have been left with
= 10% of $572
= $57.2
So, he only has $52.7 left for spending money this week
Step-by-step explanation:
Please Help 2
find (f/g)(m)iff(m)=8m3+5m2-32m-20 and g(m)=8m+5
Diving the polynomial expression f(m) = 8m^3 + 5m^2 - 32m - 20 and g(m) = 8m + 5, as (f/g)(m) using long division gives m^2 - 4
What is long division ?Long division refers to a way of dividing large numbers including polynomials
performing the long division (f/g)(m) gives
divisor 8m + 5
dividend 8m^3 + 5m^2 - 32m - 20
quotient m^2
multiplication (quotient and divisor) = 8m^3 + 5m^2
subtraction (dividend - result of multiplication) = - 32m - 20 new dividend = - 32m - 20
divisor 8m + 5
dividend - 32m - 20
quotient -4
multiplication (quotient and divisor) = - 32m - 20
subtraction (dividend - result of multiplication) = 0
new dividend = 0
The quotient is then added as
m^2 - 4
The second option is the correct option
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Solve for j.
–3(j − 8) + –6 = –9
Answer:
j = 9
Step-by-step explanation:
Given equation,
→ -3(j - 8) + (-6) = -9
Let's solve for the value of j,
→ -3(j - 8) + (-6) = -9
→ -3j + 24 - 6 = -9
→ -3j + 18 = -9
→ -3j = -9 - 18
→ j = (-27)/(-3)
→ [ j = 9 ]
Hence, the value of j is 9.
Answer:
j = -9
Step-by-step explanation:
[tex] - 3(j - 8) + - 6 = - 9 \\ open \: brackets \\ - 3j + 24 + - 6 = - 9 \\ 3j + 24 = - 9 + 6 \\ 3j + 24 = - 3 \\ 3j = - 3 - 24 \\ 3j = - 27 \\ divide \: by \: 3 \\ j = - 9[/tex]