A case of tomato cans weighs 563 dekagrams. A case of soup cans weighs 458 dekagrams. How much do the two cases weigh together in decigrams? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
1,021 decigrams
10,210 decigrams
102,100 decigrams
1,021,000 decigrams
Answer:
102200
Step-by-step explanation:
564+458= 1022
1 decagram=100 decigram
So multiply the sum by 100
1022*100=102200
the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities
The number of months Mark can have the phone is given by the equation
A = 11.4 months
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of months be represented as = A
Now , the equation is
Now , the total amount with Mark = $ 146.43
The initial amount for the smartphone = $ 33
The amount per month for 2GB is = $ 9.95
So , the amount for A months = $ 9.95 ( A )
So , the equation will be
Initial amount for the smartphone + the amount for A months = total amount with Mark
Substituting the values in the equation , we get
33 + 9.95 ( A ) = 146.43 be equation (1)
On simplifying the equation , we get
Subtracting 33 on both sides of the equation , we get
9.95 ( A ) = 113.43
Divide by 9.95 on both sides of the equation , we get
A = 11.4 months
Therefore , the value of A is 11.4 months
Hence , the number of months is 11.4 months
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Radius of 256/3π cm³
Part B
Next, rewrite the exponential expression using factors of 8 so that the base of the equation is a product of two factors, with one factor being a perfect square.
The exponential expression is (√4×√2)².
What is radical form?Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.
The given number is √8.
Now, 8=(√4×√2)²
=(2×√2)²
= 4×2
= 8
Therefore, the exponential expression is (√4×√2)².
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"Your question is incomplete, probably the complete question/missing part is:"
Rewrite the exponential expression using factors of √8 so that the base of the equation is a product of two factors, with one factor being a perfect square.
Helpp!!! Im stuck on this question!!!
for an inequality graph, if the line is dashed, that means that the border line is not part of the shaded region, so any points on it are not a solution of it, any points inside the shaded region or "true" region are solutions to it, only if the border line is solid then the border is part of the "true" region, Check the picture below.
The weight of the square is 10 grams. How much heavier is the circle than the square?
By adding the weight of the triangle, the weight of the circle heavier than that of the square.
How to determine how much heavier the circle is than the squareThe linear equation that results from examining the weights will contain the following parameters.
Let t stand for the triangle.
Let c stand for the circle.
Let's use the shape square.
left side of the equation = 6s + 3t
right side of the equation = 3s + 3c
equating both sides
6s + 3t = 3s + 3c
6s - 3s + 3t = 3s + 3c
3s + 3t = 3c
3(s + t) = 3c
dividing all through by 3
s + t = c
10 + t = c
Because of the resulting equation, we can conclude that the the circle is weightier than the square by the weight of the triangle
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The length of 1 board is 2feet and 10 inches, length of another board is 1yard 1foot 9inches. What is the total of the boards put together. Simplify answer
The total length of the two boards put together is 5ft 11in.
What is length?Length is a measure of distance. It is typically measured in units such as inches, feet, yards, miles, millimeters, centimeters, and meters. Length can also be measured in other units, such as the amount of time it takes to travel a certain distance. Length is an important concept in mathematics and is used in many different topics and applications.
To simplify this answer in feet, we can convert the 10 inches and 9 inches to feet, giving us a total of 5 feet. Therefore, the total length of the two boards put together is 5ft.
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What is the solution to the linear equation?
+pag+
O p = 1
O p = 2
o p= 8
O p = 10
The solution of the equation will be 1. Then the correct option is A.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
2/5 + p = 4/5p + 3/5
Simplify the equation for p, then we have
2/5 + p = 4/5p + 3/5
p - 4/5p = 3/5 - 2/5
1/5 p = 1/5
p = 1
The solution of the equation will be 1. Then the correct option is A.
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My new year's resolution using mathematics word essay 200 words
How do you rewrite p(x)=-5x2+120x-315 in vertex form
Answer:
[tex]p(x)=-5(x-12)^2+405[/tex]
Step-by-step explanation:
Hi there!
Vertex form: [tex]f(x)=a(x-h)^2+k[/tex]
[tex]p(x)=-5x^2+120x-315[/tex]
Factor out -5 from the first two terms
[tex]p(x)=-5(x^2-24x)-315[/tex]
Complete the square by adding [tex](\frac{24}{2} )^2[/tex] (the square of half of the x-coefficient)
[tex]p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2[/tex]
We're subtracting [tex](-5)(\frac{24}{2} )^2[/tex] because we need to keep the equation balanced and we can't just add new values.
Complete the square
[tex]p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2[/tex]
Simplify
[tex]p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405[/tex]
Summary:
Complete the squareSimplifyI hope this helps!
d^2a/db^2 +a = 4b+10sin(b)
The given equation is a second order differential equation
What is a differential equation?In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.
Isaac Newton listed three kinds of differential equations given -
[tex]${\displaystyle {\begin{aligned}{\frac {dy}{dx}}&=f(x)\\[4pt]{\frac {dy}{dx}}&=f(x,y)\\[4pt]x_{1}{\frac {\partial y}{\partial x_{1}}}&+x_{2}{\frac {\partial y}{\partial x_{2}}}=y\end{aligned}}}[/tex]
Given is a differential equation as follows -
d²a/db² + a = 4b + 10sin(b)
The given equation is -
d²a/db² + a = 4b + 10sin(b)
Let y = a and x = b, then we can write -
d²y/dx² + y = 4x + 10sin(x)
A second order differential equation is one that expresses the second derivative of the dependent variable as a function of the variable and its first derivative. It is of the form -
d²y/dx² + P(x) dy/dx + Q(x) y = f(x)
For the equation given -
d²y/dx² + y = 4x + 10sin(x)
On comparing, we get -
P(x) = 0
Q(x) = 1
f(x) = {4x + 10sin(x)}
Therefore, the given equation is a second order differential equation.
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A quadratic polynomial which has zeros at -7 and 5. ?
Answer:
x^2 + 2x - 35
Step-by-step explanation:
Sum of zeros
= - 7 + 5
= - 2
Product of zeros
= - 7 x 5
= - 35
x^2 - ( sum of zeros )x + product of zeros
= x^2 - ( - 2 ) x + ( - 35 )
= x^2 + 2x - 35
The Quadratic polynomial is x^2 + 2x - 35.
Note: Enter your answer and SHOW ALL THE STEPS THAT YOU USED to solve this problem in the space provided.
From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was −20°C. What was the temperature at midnight?
Answer:
The temp. started at -20. If it rose +8 degrees, then it would be -20+8=-12, because since the -20 and +8 are opposites, you would subtract them and the answer would have the sign of the larger number which is -. so -12 is the answer.
Step-by-step explanation:
since the -20 and +8 are opposites, you have to subtract them and you get -12
the temperature at midnight is -12 get it?
Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach a top speed of 85 mph which roller coaster has a greater top speed?
Roller coaster B has greater top speed than roller coaster A.
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given,
speed of roller coaster A = 110ft./s
speed of roller coaster B = 85mph
1 mile = 5280 feet
⇒ 85 mile = 5280 × 85 = 448800 feet
1 hour = 3600 seconds
speed of roller coaster B = 448800/3600 ft/s = 124.67 ft/s
comparing speed of both
Speed of roller coaster B > speed of roller coaster A
Hence roller coaster B has greater top speed.
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I will mark brainliest please help!
Find the are of the figure?
Answer:
The answer is 28
Step-by-step explanation:
B×h ÷ 2
8×7 ÷ 2
A researcher found the average cost of one and two-bedroom apartments for different cities and graphed the data in a scatter plot, with costs of one-bedroom apartments along the x-axis. The variables have a strong linear correlation and the equation for the regression line is yˆ=1.182x+19.096 .
Based on the equation, what should the researcher expect for the average cost of a two-bedroom apartment in a city where the average cost of a one-bedroom apartment is $815?
Answer:
About $982.
Step-by-step explanation:
The average cost is:
[tex]y = 1.182x + 19.096[/tex]
When the cost of a one-bedroom apartment is 815, we have [tex]x = 815[/tex], so we should expect the cost to be:
[tex]y = 1.182(815) + 19.066 = 982.4[/tex]
So:
About $982.
A ball is thrown upward from a tower 234 ft. high with an initial velocity of 19 ft per second. In how
many seconds will it strike the groun kod and with what velocity?
Step-by-step explanation:
Set the origin of the coordinate system at the top of the tower.
Given:
y = -234 ft (when the ball hits the ground)
v0 = +19ft/a
g = 32 ft/s^2
a) The equation of motion. for this freely-falling body is
y = v0t - (1/2)gt^2
When the ball hits the ground, t = T (time of flight)
----> -234 ft = (19 ft/s)T - (1/2)(32 ft/s^2)T^2
Rearranging the terms and dropping the units momentarily for brevity, we get
(16)T^2 - 19T - 234 = 0
This is a quadratic equation whose solution is
T = (1/32)[19 +- {(-19)^2 - 4(16)(-234)}]^(1/2)
= 4.46 s. or -2.68 s
Therefore, the time of flight T = 4.46 s
b) To find the velocity upon impact, we use
v = v0 - gt, where t = T = 4.46 s
= (19 ft/s) - (32 ft/s^2)(4.46 s)
= -123.7 ft/s
The negative sign means that its velocity is pointing down.
Which equation represents exponential growth?
y=(0.25)^x
y= 1/3(0.1)^x
y=(7)^x
y=(2/3)^x
Answer:
y=(7)^x represents the exponential growth
Answer:y=(7)^x exponential growth, and do you use monarch aop? cause i do and i was wondering
Step-by-step explanation:
The sum of the age of a girl and her brother is 34. The girl is 8 years older than her heather, how old is her brother
Answer:
26
Step-by-step explanation:
if she is 8 years older, then is just 34-8 which is 26
Use Exponential Functions
What is the y-intercept of the graph of y = 2.5×?
a. 2.5 c. 0
b. 1 d. -1
Please select the best answer from the choices provided
Answer:
B. 1
Step-by-step explanation:
I calculated it logically
Answer:
The correct answer bbbbb B. 1
Please help me im pass due and my mom will ground me
Answer:
[tex] \frac{5}{6} * 20 = \frac{5 * 20}{6} = \frac{100}{6} = \frac{50}{3} = 16\frac{2}{3} [/tex]
Step-by-step explanation:
[tex] \frac{5}{6} * 20 [/tex]
Multiply
[tex] = \frac{5 * 20}{6} [/tex]
[tex] = \frac{100}{6} [/tex]
Simplicity by reducing the fraction. Divide the numerator and denominator by 2, respectively.
[tex] = \frac{50}{3} [/tex]
Divide 50 by 3 to get a mixed number
[tex] = 16\frac{2}{3} [/tex]
Find the value of x
144 (x-36)
Answer:
it answer is 180
Step-by-step explanation:
plz mark me as brainlist
Answer:
[tex]\huge\boxed{\fcolorbox{green}{violet}{Answer}}[/tex]
[tex]144(x - 36) \\ = 144 \times x - 144 \times 36 \\ = 144x - 5184 \\ x = \frac{5184}{144} \\ x = 36[/tex]
PLEASE HELP FASTT
Write the equation of the line that has a slope of -3 and passes through (2, -5)
show work if possible
Answer:
y = -3x + 1
Step-by-step explanation:
Plug in your x (2) and y (-5) values into your slope-intercept formula (y=mx+b).
-5 = -3(2) +b
Solve for b:
-5 = -3(2) + b
-5 = -6 + b
1 = b
Plug in the value of b, and the slope (-3) for the formula:
y = -3x + 1
1. Spongebob, Patrick, and Mr. Krabs are investing a total of $70,000 in the Krusty Krab at a ratio
of 12:7-16. How much money did each of them invest?
Spongebob
Patrick:
Mr. Krabs:
Answer:
Too much money
Step-by-step explanation:
Original price: $26
Sales tax: 3%
Answer:
$25.22
Step-by-step explanation:
26 x .03= 0.78
26-0.78= $25.22
i hope this helps :)
Summary
Suppose a quadratic expression in standard form has a value of c = 0. Can this quadratic expression be
factored? How do you know?
Answer:
yesx is a factorStep-by-step explanation:
You want to know if the standard form quadratic equation ax² +bx +c = 0 can be factored when c=0.
C = 0When the constant is zero, the equation becomes ...
ax² +bx = 0
Factoring out x, we have a factored form as ...
x(ax +b) = 0
showing that the equation can always be factored.
Pls help I’ll brainlest
Answer:
It would be B.
Step-by-step explanation:
This is because adding a negative exponent onto a number is telling you how many times you have to divide it by. So in this case, it would be the equation 1 / 2^4 to solve it.
Answer:
answer is b friend
Step-by-step explanation:
Use the Power Property of Logarithms to write the logarithm as a product, and simplify if possible: lnx3√.
Answer:
[tex] ln \: {x}^{ \sqrt{3} } = \sqrt{3} \: ln(x) [/tex]
We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]
What are Logarithms?A logarithm is the power to which a number must be raised in order to get some other number
We need to use the Property of Logarithms to write the logarithm as a product[tex]logx^{\sqrt{3}}[/tex]
We have a power property of logarithm that [tex]loga^{b} =bloga[/tex]
So Given logx to the power of root three
Here consider x as a and b as root 3.
[tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]
Hence, We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]
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Find Y
Special right triangles
Please last question of the day!! Due in 20 min!
Point A is located at (2, 3) on the coordinate plane. Point A is reflected over the x-axis to form point B and over the y-axis to form point C. Then, point A is reflected over both axes to form point D. The four points become vertices of a quadrilateral. What is the most precise name for the quadrilateral formed, and how do you know? Explain her thinking.
Answer: W'' = (2, -3)Step-by-step explanation:Reflection over the x-axis negates the y-coordinate ...
Step-by-step explanation: