Answer:
$64
Step-by-step explanation:
We can set up a percentage proportion to find the value Caleb's groceries before tax.
[tex]\frac{1.60}{x} = \frac{2.5}{100}[/tex]
We can cross multiply to find the value of x.
[tex]100\cdot1.60=160\\\\160\div2.5=64[/tex]
So the original cost before tax was $64.
Hope this helped!
Answer:
$1.64
Step-by-step explanation:
We need to find the before tax price so let that be x
100-2.5% = 97.5% (since this is the reduction before the sale)
Turn this percentage into a decimal so 0.975
To find x we must remember this price multiples 0.975 to give us $1.60
x * 0.975 = 1.60
x = 1.60 / 0.975
x = 1.64 (2dp)
The value of X is:
A)27
B)7
C)5
D)√21
E)√27
Answer:
E.
Step-by-step explanation:
6^2=x^2+3^2
X^2=36-9
X=
[tex] \sqrt{27} [/tex]
16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) = 10x + 11, where x is the number of days since the start of the job. Find the expenditure if the job takes 5 days. A) $61 B) $6100 C) $180 D) $18,000
Answer:
D) $18,000
Step-by-step explanation:
A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by
E'(x) = 10x + 11,
where x is the number of days since the start of the job.
Find the expenditure if the job takes 5 days.
Step 1
We Integrate
E(x) =∫E'(x) dx
=∫[10(x) + 11] in hundreds of dollars
(5x² + 11x + c) in hundreds of dollars
Step 2
(5x² + 11x + c) in hundreds of dollars
x is the number of days since the start of the job.
x = 5
5x² + 11x
[5(5)² + 11(5)] in hundred of dollars
= [5 × 25 + 55] in hundreds of dollars
=[ 125 + 55] in hundreds of dollars
=[180] in hundreds of dollars
Hence the expenditure is 180 in hundreds of dollars
This means, 180 × $100
= $18000
Therefore, the expenditure costs $18,000
In the number 3,335 how many times greater is the value of the 3 on the left than the 3 on the right
Answer:
(If they were talking about 3,335, then) 100 times greater
(If they were talking about 3,335 then) 10 times greater
Step-by-step explanation:
When you visualize it, ignore the other numbers and think of only the threes.
Count how many spaces/places they are from each other, and that's how many 0s you should put after a 1 as your answer.
Same as decimal moving and multiplying by 10's.
A jeweler is heating a gold bar. It takes 7 joules of heat to raise the temperature of the bar 1º C. The initial temperature of the bar is 25ºC. Use this information to select the equation that corresponds to the information. y=7x+175y is equal to 7 x plus 175 y=7x−175y is equal to 7 x minus 175 y=25x−7y is equal to 25 x minus 7 y=7x−25
Answer:
[tex]y = 7x - 175[/tex]
Step-by-step explanation:
Given
Initial temperature= 25ºC
Rise = 1ºC
Rate = 7 joules
Required
Determine the equation of the system
Let the final temperature be represented with x and the heat required be represented with y
This question will be solved using the following heat formula
[tex]Heat\ Required = Rate * Change\ in\ Temperature[/tex]
[tex]Heat\ Required = Rate * (Final\ Temperature - Initial\ Temperature)[/tex]
Substitute y for Heat Required; 7 for Rate; x for Final Temperature and 25 for Initial Temperature
[tex]y = 7(x - 25)[/tex]
Open the bracket
[tex]y = 7x - 7 * 25[/tex]
[tex]y = 7x - 175[/tex]
Hence, the equation of the system is
[tex]y = 7x - 175[/tex]
find the surface area of a box measuring 4 inches long 3 inches wide and 6 inches tall
4*3
12
12*6
72
hope it help
The surface area of the given box is 108 square inches.
What is the formula for the total surface area of a box?The surface area of a box is the sum of the areas of its six faces. We can find the surface area of the given box by using the formula:
Surface Area = 2lw + 2lh + 2wh
where "l" is the length, "w" is the width, and "h" is the height of the box.
As per the question, we have
l = 3 inches, w = 3 inches, and h = 6 inches
Substituting the given values, we get:
Surface Area = 2(4 x 3) + 2(4 x 6) + 2(3 x 6)
Surface Area = 24 + 48 + 36
Surface Area = 108 square inches
Therefore, the surface area of the given box is 108 square inches.
Learn more about the cuboids here:
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Find the product of -1 + 3i and its conjugate. The answer is a + bi where
The real number a equals
The real number b equals
Answer:
[tex]\huge\boxed{a = 10 \ , \ b = 0}[/tex]
Step-by-step explanation:
Conjugate of -1 + 3i = -1 - 3i
Their Product:
[tex]=(-1+3i)(-1-3i)\\Using \ Formula : (a+b)(a-b) = a^2-b^2\\=(-1)^2 - (3i)^2\\=1 - 9i^2\\We \ know \ that \ i^2 = -1\\=1 - 9(-1)\\=1 + 9\\=10[/tex]
Since the answer is 10, It seems like:
a + bi = 10
So, This means that:
a = 10
b = 0
The question is in the image below.
I hope this helps you
can you please help me with this
Answer: A
Step-by-step explanation:
For this problem, we would distribute the outer exponent to each exponent inside. Once we distribute, we multiply the exponents together.
[tex]2^\frac{12}{5} *9^\frac{4}{5}[/tex]
Answer:
When we have exponents (being multiplied) in a parenthesis which also has an exponent, the exponent of the parenthesis gets multiplied by each one of the others. We have to distribute the outer exponent to each exponent inside, like:
[tex](a^n*b^m)^p = a^{n*p}*b^{m*p}[/tex]
If there are numbers but no exponents (inside), it also happens the same, but as the exponent of the parenthesis gets multiplied by 1, we can just put the exponent, like:
[tex](a*b)^p=a^p+b^p[/tex]
So, in our case we have what we have explained: two numbers, one of them with an exponent and the other without it in a parenthesis which also has an exponent, so we multiply that exponent by the ones of the numbers inside the parenthesis.
[tex](2^3*9)^\frac{4}{5}[/tex] = [tex]2^{3*\frac{4}{5}}*9^\frac{4}{5}[/tex] = [tex]2^\frac{12}{5}*9^\frac{4}{5}[/tex]
So the answer is [tex]2^\frac{12}{5}*9^\frac{4}{5}[/tex]
a value which represents any quantity along a number line
A:rational number
B:irrational number
C: real number
D:infinite
Answer:
C: real number
Step-by-step explanation:
The set of real numbers includes rational and irrational numbers. It would be difficult (impossible) to draw a number line consisting of only rational numbers or only irrational numbers.* So, the number lines we draw represent all real numbers.
_____
* There are an infinite number of rational numbers between any pair of irrational numbers. Similarly, there are an infinite number of irrational numbers between any pair of rational numbers
A color printer can print 7 color photos in one minute. How many minutes will it take to print 500 photos? (round if you have to)
Math homework help........
it takes 9 eggs to make 4 omelets how many omoletes can be made with 72 eggs
Answer:
For every 72 eggs, 32 omelets can be made.
Step-by-step explanation:
The ratio for eggs to omelets is 9:4. Or 9/4 in fraction form. (Note that the ratio can be written interchangeable such as 4:9).
The ratio says for every 9 eggs, it makes 4 omelets.
72 can be multiplied by 9. (9*8=72).
If we multiply the "top" and the "bottom" of the ratio by 8/8 (8/8=1. We must multiply this way so the ratio will remain the same when reduced.)
We will get 72:32.
For every 72 eggs, 32 omelets can be made.
Answer:
We use the rule of three !
9 eggs ------------> 4 omoletes
72 eggs -----------> x
So x= (72 eggs × 4 omoletes ) / 9 eggs
We simplify by 《eggs 》 because it is in the numerator and the denominator.
So x=(72×4 omoletes) / 9
x =288 omoletes /9
x = 32 omoletes
So we can made 32 omeletes with 72 eggs !!
give a counterexample for the statement All square roots are irrational numbers.
Answer:
The square root of 4 is 2(not irrational)
The square root of 100 is 10(not irrational
Step-by-step explanation:
A patient A receives 3 times the amount of medicine as patient B. The two doses add to 200 milligrams. What amount of medicine does each patient receive?
Answer:
Patient A receives 150 milligrams and Patient B receives 50 milligrams
Step-by-step explanation:
Patient A = 3x
Patient B = x
200 milligrams = 3x + x
200 milligrams = 4x
x = 50
Patient A = 3(50) = 150
Patient B = 50
I hope this helps!
-TheBusinessMan
Let the medicine received by patient B be x.
According to the question patient A receives 3 times as much,
So patient A receives 3x.The total amount of medicine administered to the two patients equals to 200 milligrams.
We can write the relation as ,
[tex]:\implies \sf \ \ \ x + 3x = 200 \\ \\ \\ [/tex]
[tex]:\implies \sf \ \ \ 4x = 200 \\ \\ \\ [/tex]
[tex]:\implies \sf \ \ \ x = \dfrac{200}{4} \\ \\ \\ [/tex]
[tex]:\implies \sf \ \ \ { \underline{ \boxed{ \bf{ \blue{x = 50}}}}} \ \bigstar \\ \\ [/tex]
Therefore,
Patient B receives 50 milligrams.Patient A receives 3 × 50 = 150 milligrams━━━━━━━━━━━━━━━━━For the following exercises, write the equation of the tangent line in Cartesian coordinates for the given parameter t
x=et ,y=(t-1)2 ,at(1,1)
Answer:
y+2x = 3
Step-by-step explanation:
The formula for finding the equation of a tangent line is expressed using the point slope equation y-y0 = m(x-x0) where:
m is the slope of the line and (x0, y0) is a point on the line.
m = dy/dx = dy/dt ÷ dx/dt
dy/dt = 2(t-1)
dx/dt = e^t
m = 2(t-1)/e^t
If x = e^t, and x = 1
1 = e^t
Taking ln of both sides
ln1 = lne^t
t = ln1
t = 0
Substituting t = 0 into the slope formula:
m = 2(t-1)/e^t
m = 2(0-1)/e^0
m = 2(-1)/1
m = -2/1
m = -2
Substituting the slope m= -2 and the given point (1,1) into the formula for calculating the equation of tangent line we will have;
y-1 = -2(x-1)
y-1 = -2x+2
y+2x = 2+1
y+2x = 3
Hence the equation of the tangent line in Cartesian coordinates for the given parameter t is y+2x = 3
Find the range of the following data set.
A. 1
B. 1 1/8
C. 1 1/4
Use the upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y = 1 − x2.
Answer:
The answer to this question can be defined as follows:
The Lower sum ="0.659"
The Upper sum ="0.859"
Step-by-step explanation:
In the given equation there is some mistype error, so the correct equation and its solution can be defined as follows:
Equation:
[tex]y= \sqrt{1-x^2}[/tex]
calculating the Δx:
[tex]=\frac{(1 - 0)}{5}\\\\=\frac{1}{5}[/tex]
calculating the Upper sum value:
[tex]=\bigtriangleup x \times (f(0) + f(\frac{1}{5}) + f(\frac{2}{5}) + f(\frac{3}{5}) + f(\frac{4}{5})) \\\\= \frac{1}{5} \times (1 + \sqrt{(\frac{24}{25})} + \sqrt{\frac{21}{25}} + \frac{4}{5} + \frac{3}{5})\\\\= 0.859[/tex]
calculating the Lower sum value:
Answer:
The upper sum value is 0.8592
The lower sum value is 0.6592.
Step-by-step explanation:
Given information:
The equation [tex]y=\sqrt{1-x^2}[/tex]
And [tex]n=5[/tex]
now, first find derivative of the above equation:
As, [tex]\Delta x=(1/5)\\\Delta x=0.2[/tex]
Now calculate the upper sum value as :
[tex]U=0.2[\sqrt{1-0}+\sqrt{1-0.2^2}+\sqrt{1-0.4^2}+\sqrt{1-0.6^2}]+ \sqrt{1-0.8^2}\\U=0.2\times 4.296\\U=0.8592\\[/tex]
Hence, the upper sum value is 0.8592
Now ,calculate the lower sum value as:
[tex]L=0.2[\sqrt{1-0.2^2}+\sqrt{1-0.4^2}+\sqrt{1-0.6^2}+\sqrt{1-0.8^2}+\sqrt{1-1^2}]\\L= 0.2\times 3.296\\L=0.6592\\[/tex]
Hence, the lower sum value is 0.6592.
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pls help!!!!!!!!! ASAP!!!
i hop ....
i hope
ihope
solution
What is the value of x ?
Answer:
X = 31°Step-by-step explanation:
Given: AC is angle bisector of <BAD.
=> So, <BAC = <CAD
30° = x-1 °
30 +1 = x
31 = x
Then, X = 31
Hope this helps.. Good luck :)
help will give brainliest
Answer:
20+2=22
Step-by-step explanation:
When you go down by 2, then use the Inverse Operation to add it up.
1. The standard deviation of the distribution of house age is about 16 years. Interpret this value.
a. The age for the houses in the sample was typically 16 years from the mean.
b. The age for all the houses in the sample is 16 years from the mean.
c. The gap between the youngest and oldest house is 16 years.
d. The age for all houses in the sample is within 16 years of the mean. The gap between the first quartile and the third quartile is 16 years.
Answer:
The correct option is b.
Step-by-step explanation:
Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.
The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.
It is provided that the standard deviation of the distribution of house age is about 16 years.
The standard deviation of 16 years imply that the age for all the houses in the sample is 16 years from the mean.
Thus, the correct option is b.
Can someone Help plzzzzz??????
Answer:
864
Step-by-step explanation:
let's take side of the cube as C. then volume of the cube will be C^3. we know that C^3 is 1728 inches. so C = 12. total surface area of a cube is 6*C*^2. so that is equal to 6×12×12 = 864
A local church has a congregation consisting of 480 adult members. The church's administrators would like to estimate the average weekly donation per member per week. A random sample of 65 members was found to have an average donation of $50.40 and a standard deviation of $12.30. The 95% confidence interval to estimate the average weekly donation is ________.
Answer:
The confidence interval = ($47.41, $53.39)
Step-by-step explanation:
Confidence Interval formula
= Mean ± z × Standard deviation/√n
Mean = $50.40
Standard deviation = $12.30
z score for a 95% confidence interval = 1.96
n = 65
Confidence Interval = $50.40 ± 1.96 × $12.30/√65
= $50.40 ± 2.9902293815
Confidence Interval =
$50.40 - 2.9902293815 =
47.409770618
≈$47.41
$50.40 + 2.9902293815 = 53.390229381
≈$53.39
Therefore, the confidence interval = ($47.41, $53.39)
Construct a truth table
Answer:
see below
Step-by-step explanation:
The result of the expression is P∨Q, since the P∧¬R term is subsumed by the P term. That is, ..
(P∨Q) ∨ (P∧¬R) = Q ∨ (P ∨ P∧¬R) = Q∨P
Helppppp meeeeeseseeeseeee
Step-by-step explanation:
Remember: Coplanar definition: In the same plane.
Here, we can see that points G, N, and M make up the intersection of plane K and plane L, so that means our answers are: G, N, and M because we were looking forth e points that are on planes K and L. The other points are not the answer because they are either on only one of the planes or not on any of them at all.
I hope this helps! :)
Answer:
I THINK it is M,N,G they are coplanar and they intersect, hope i helped
Convert 60 miles pr hour to yards pr minute
Answer:1760
Step-by-step explanation:
x2+3y=4 solve for x. (someone help asap)
Answer:
Slope= 2.0003.000=1.500
x−intercept=−312=−4
y−intercept= 12/2=6
Hoped I helped
Solve for x. 5x - 4 = -3x + 12
Step-by-step explanation:
5x+3x=12+4
8x=16
x=16÷8
x=2
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5x - 4 = - 3x + 12}[/tex]
Move 3x to left hand side and change it's sign
⇒[tex] \sf{5x + 3x - 4 = 12}[/tex]
Move 4 to right hand side and change it's sign
⇒[tex] \sf{5x + 3x = 12 + 4}[/tex]
Collect like terms
⇒[tex] \sf{8x = 12 + 4}[/tex]
Add the numbers
⇒[tex] \sf{8x = 16}[/tex]
Divide both sides of the equation by 8
⇒[tex] \sf{ \frac{8x}{8} = \frac{16}{8} }[/tex]
Calculate
⇒[tex] \sf{x = 2}[/tex]
Hope I helped!
Best regards!!
What is the cost of x students paying tuition of $2800 each?
Answer:
Total cost of x students tuition = $2,800x
Step-by-step explanation:
Total cost of x students tuition
= Amount of tuition × number of students
Amount of tuition= $2,800
Number of students = x
Total cost of x students tuition
= Amount of tuition × number of students
= $2,800 * x
= $2,800x
Total cost of x students tuition = $2,800x
For example, if there are 2 students in total
Total cost of x students tuition = $2,800x
When x= 2
= $2,800 × 2
= $5,600
Total Cost of students paying tuition of $2,800 each is $5,600
Find the value of the test statistic z using zequalsStartFraction ModifyingAbove p with caret minus p Over StartRoot StartFraction pq Over n EndFraction EndRoot EndFraction . Round to three decimal places. The claim is that the proportion of drowning deaths of children attributable to beaches is more than? 0.25, and the sample statistics include n equals 647 drowning deaths of children with? 30% of them attributable to beaches. A. 2.775 B. -2.937 C. 2.937 D. -2.775
Answer:
C. 2.937
Step-by-step explanation:
Given the following :
H0 : p = 0.25
H1 : p > 0.25
Number of observations (n) = 647
p' = 30% = 0.3
SD = sqrt[(p(1 - p) / n)]
1 - p = 1 - 0.25 = 0.75
SD = sqrt[(0.25 * 0.75) / 647]
SD = sqrt[0.0002897]
SD = 0.0170234
Z = (p' - p) / SD
Z = (0.3 - 0.25) / 0.0170234
Z = 0.05 / 0.0170234
Z = 2.9371187 = 2.937