Answer:
p(m) = 0.1(m)
Step-by-step explanation:
Given that :
Percentage of cost saved per month = 10%
The percentage, p of cost saved after m months will be ;
Percentage of cost saved after m, months will be ; p(m) = Percentage of cost saved per month * number of months
p(m) = 10% * m
p(m) = 0.1(m)
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answer:
21.2
Step-by-step explanation:
BODMAS : First bracket, then Division then multiplication.
[tex]53 \div (13-8) \times 2\\53 \div 5 \times 2\\10.6 \times 2\\21.2[/tex]
solve for x 64 = 2^3x
Answer: X=0 , 1.03355778
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Don’t save the answer and I really need help
9514 1404 393
Answer:
zero solutions
Step-by-step explanation:
The first inequality has a boundary line with a slope of 3 and a y-intercept of 9. Shading is above the boundary line.
The second inequality has a parallel boundary line with a slope of 3 and a y-intercept somewhat lower, at -1. Shading is below this boundary line.
There is a gap between the shaded areas, so no points will be solutions to both inequalities.
2b(to the power of 2)= 2.83
Step-by-step explanation:
2b²=2.83
b²=1.415
b=1.18953
Question 8 of 10
The linearized regression equation for an exponential data set is
log y = 0.23x + 0.8, where x is the number of years and y is the population
What is the predicted population when x - 10? Round your answer to the
nearest whole number.
A. 81,963
B. 200
C. 3
D. 1259
.
Answer:
log y = 3
Step-by-step explanation:
Substitute 10 for x, obtaining the following:
log y = 0.23(10) + 0.8, or
log y = 2.3 + 0.8, or 3.10, or (to the nearest whole number):
log y = 3
Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.
9514 1404 393
Answer:
96
Step-by-step explanation:
In terms of blocks, the box dimensions are ...
(14 in)/(3.5 in/block) = 4 blocks
(21 in)/(3.5 in/block) = 6 blocks
Then the volume in terms of blocks is ...
V = LWH
V = (4)(4)(6) = 96 . . . . blocks
There are 96 blocks in the set.
Without graphing, determine the range of the function f(x) = -5|x-7|+2 over
the interval (-5,10).
A. [2 -62
B. [2, 17]
C. (17, 62]
D. (-7, 2]
What should be capitalize in a passage
please help me i’m begging!!
i need to match them
An angle of depression is measured from the horizon downwards and an angle of elevation is measured from the horizon upwards.
When solving for the sides or angles of a right triangle you can use trigonometry. The sine of an angle is found by the ratio of the opposite side and the hypotenuse. The cosine of an angle is found by the ratio of the adjacent side and the hypotenuse. The tangent of an angle is found by the ratio of the opposite side and the adjacent side.
The opposite side is always the leg opposite the angle that you are using. The adjacent side is the leg that forms one of the sides of the angle you are talking about and the hypotenuse is always across from the right angle.
If you know two lengths you can find the third leg length by using the Pythagorean Theorem.
y= 2x + 1
y = -3x +6
Solve the solution to this system of linear equations
(Please help)
Answer:
yeahh, i'm proud of you
Step-by-step explanation:
Hi! Could someone check this questions for me and if I have anything wrong tell what I have wrong please? That would be highly appreciated!!
Answer:
Both are correct
I'm only checking the first page
Step-by-step explanation:
Answer:
Step-by-step explanation:
The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.
The 4th page the bottom one is wrong the correct answer is -22.
need help with these table
What’s the distance ?
Answer:
[tex]3[/tex]
Step-by-step explanation:
This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,
[tex](4,2), (5, 5)[/tex]
The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,
[tex]D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}[/tex]
Substitute the endpoints of the line into the formula and solve for the distance between the points,
[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]
Simplify, solve for the distance between the two points,
[tex]D=\sqrt{(4-5)^2*(2-5)^2}[/tex]
[tex]D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3[/tex]
Tony is building a new silo to store corn as animal feed. It will be a cylinder topped with a half-sphere, and must store 21 000 t of corn. The entire silo can be filled with corn. Tony wants to minimize the surface area of the silo to reduce materials and paint costs. He has the following information:
• 1 cubic m of corn has a mass of 700 kg.
• Building costs are $8/m2, taxes included.
• Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
• Corn costs $140 per tonne ($140/t), taxes
included.
What is the total cost to build, paint, and fill a silo with the least surface area?
Answer:
The total bill is $6900 because 69 is a man which hair is multi colour
Explain how to do this and provide with an answer.
Answer:
V=480m^2
Step-by-step explanation:
Help plz I’m so confused
Answer and Step-by-step explanation:
Simply multiply the numerator by the numerator, and the denominator by the denominator.
[tex]-\frac{2}{7}[/tex] × [tex]-\frac{3}{7}[/tex] = [tex]\frac{6}{49}[/tex]
#teamtrees #PAW (Plant And Water)
What is the area of this???
D
76
21. In the last three basketball games,
Paula has scored 21, 25, and
15 points p. Which inequality does
not describe the numbers of points
she has scored?
Ap> 21
Bps 25
cp< 30
Dp 2 10
Answer:
A
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
for example : 2 < 3 means 2 is less than 3
3 >2 means 3 is greater than 2
Paula's 3 scores are greater than 15 and less than 26
p> 21 implies her score is greater than 21. this is wrong because there is a score of 15
Find the value of x.
Answer:
[tex]4/12=x/18[/tex]
[tex]x=4*18/12[/tex]
[tex]x=6[/tex]
--------------------------
hope it helps...
have a great day!!
PLEASE PLEASE HELP!!!!
Find the volume of the triangular pyramid to the nearest whole number
A) 170in³
B) 340in³
C) 680in³
D) 1,020³
Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel.
What is the length of Line segment G D?
GD =
Answer:
10.5
Step-by-step explanation:
built different
Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel. 5.5 is the the length of Line segment G D.
What is triangle?A triangle is a polygon that has three vertices on each of its three sides. The point shaped inside the triangle is equivalent to 180 degrees. It implies that the amount of the inside points of a triangle is equivalent to 180°. This is a polygon with the fewest sides.
To put it another way, a triangle is a two-dimensional figure with three sides and interior angles of 180 degrees. Six main types of triangles are distinguished by their angles and side lengths. Allow us to examine exhaustively about the six kinds of triangles. In light of the length of the sides, the triangle is arranged
EG / GD = FH / HD
6 / GD = 8 / 2
GD = 22 / 4
GD = 5.5
Therefore, 5.5 is the the length of Line segment G D.
To know more about triangle, here:
https://brainly.com/question/2773823
#SPJ7
Can someone’s please help
Answer:
4.87 ft
Step-by-step explanation:
The height of the skylight =
The height of the blue △ - the height of the red △
Let b ft be the height of the blue △.
sin 60° = [tex]\frac{b}{25} [/tex]
b = 25 sin 60°
Let r ft be the height of the red △.
tan 40° = [tex] \frac{r}{20} [/tex]
r = 20 tan 40°
The height of the skylight
= 25 sin 60° - 20 tan 40°
= 4.87 ft (rounded to the nearest hundredth)
What is a polygon?
a. A closed plane figure made up of line segments
b. An open plane figure made up of line segments
c. A closed plane figure made up of rays
d. An open plane figure made up of rays
Answer:
A. A closed plane figure made up of line segments
Step-by-step explanation:
Answer:
A closed plane figure made up of line segments
A cylindrical container has a diameter of 14 cm and a height of 10 cm, as
shown in the diagram. What is the volume of this container to the nearest
tenth of a cubic centimeter?*
14cm
10cm
1539.4
6157.5
490.0
219.9
Answer:
1539.4
Step-by-step explanation:
Steps:
Volume of a cylinder= πr²h
radius= diameter/2
= 14/2
= 7 cm
Volume= π x 7² x 10
= 1539.38
= 1539.4 cm³
Answer:
1539.4
Step-by-step explanation:
to find the area of a cylinder, you solve pi x radius²
3.14 x 7² = 153.94
then you multiply times the height
153.94 x 10 = 1549.4
Find the value of x
Answer:
x = 40
Step-by-step explanation:
Two triangles are similar so we can use similarity ratio to find x
x/16 = 35/14 cross multiply expressions
14x = 560 divide both sides by 14
x = 40
According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume that annual household income in Maryland follows a normal distribution with a median of and standard deviation of . a. What is the probability that a household in Maryland has an annual income of or more (to 4 decimals)
Answer:
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]
What is the probability that a household in Maryland has an annual income of X or more?
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
The maximum load that a cylindrical column with a circular cross section can hold varies directly as the fourth power of the diameter and inversely as the square of the height. A 9 meter column 2 meters in a diameter will support 64 metric tons. How many metric tons can be supported by a column 13 meters high and 5 meters in diameter? Round to the nearest whole metric ton
Answer:
2396
Step-by-step explanation:
Let the diameter = d
Let the height = h
Formula
Metric Tons = k * d^4 / h^2
Solution
Metric Tons = 64
d = 2
h = 9
k = ?
(You can't do the second part by not using a ratio unless you put k in and solve for it)
64 = 2^4 k / 9^2
64 = 8 *k / 81
64 * 81 / 8 = k
5184 / 8 = k
k = 648
Solve for the second example
Metric Tons = d^4 * k / h^2
Metric Tons = ?
d = 5
h = 13
k = 648
Metric Tons = 5^4 * 648 / 13^2
Metric Tons = 625 * 648 / 169
Metric Tons = 2396 rounded.
simplify x^0 y^-3/x^2y^-1
The answer is 1/x^2y^2
The given expression is [tex] \frac{ {x}^{0} y { - }^{3} }{ {x}^{2}y { - }^{1} } [/tex]
We know that any number raised with zero power equals 1. Thus, [tex] {x}^{0} = 1[/tex]
Hence, the expression becomes
[tex] \frac{y { - }^{3} }{ {x}^{2} y { - }^{1} } [/tex]
Now, apply the quotient rule,[tex] \frac{ {x}^{ \alpha } }{ {x}^{b} } = {x}^{ \alpha - b} [/tex]
Using this rule, we have
[tex] \frac{1}{ {x}^{2} y { - }^{1 - ( - 3)} } [/tex]
[tex] = \frac{1}{ {x}^{2} y { - }^{1 + 3} } [/tex]
[tex]= \frac{1}{ {x}^{2} {y}^{2} } [/tex]Hence, the simplified expression is [tex] \frac{1}{ {x}^{2} {y}^{2} } [/tex]
Dave wants to build a rectangular screened-in porch that is 20 feet long, and it will extend 6 feet out from the backside of his house.
Dave sketches a scale drawing of the porch. Choose a reasonable size and scale for Dave’s drawing of the porch. How should Dave label the dimensions of the model?
Answer:
Scale of the drawing would be 20/12 inch and 0.6 (6/12) inch
Step-by-step explanation:
For most of the residential buildings an scale of 1 inch = 12 feet can be used to draw the residential units.
In that case the scale of the drawing would be 20/12 inch and 0.6 (6/12) inch
Dave should label the dimensions in inches
A car that is normally $4200 is on sale for 80% of its original cost.
what is the sale price of the car?
Answer:
$3360
Step-by-step explanation:
4200(.80) = 3360
anything less than 1.00 will be a decreasing amount, so i just took the 80% and put it as a decimal and multiplied to find the current cost of the car
