Answer:
Solid: Triangular prism
Volume: 108 cm³
Explanation:
Volume, V = A x L
Where A = area of one face of the prism
L = length of the prism = 12 cm
Note A = 1/2bh, b = 6 cm, h = 3 cm
A = 1/2 x 6 x 3
A = 1/2 x 18
A = 9 cm²
∴ V = 9 cm² x 12 cm
V = 108 cm³
Hence, the solid is a triangular prism and the voulme is 108 cm³
Please help me answer this question
For the function \(A(t)=4000e^0^.^0^4^t\) the value of A'(8) is $220 and the value of \(A'(t)=160e^0^.^0^4^t\)
The given function is \(A(t)=4000e^0^.^0^4^t\) gives the balance after t years.
The initial investment is 8000
4% is the compounded interest.
Now differentiate with respect to t
\(A'(t)=0.04(4000)e^0^.^0^4^t\)
\(A'(t)=160e^0^.^0^4^t\)
Now let us find the value of A'(8)
Plug in t as 8
\(A'(8)=160e^0^.^0^4^(^8^)\)
A'(8)=220.3
Hence, the value of A'(8) is $220 and the value of \(A'(t)=160e^0^.^0^4^t\)
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Please help with this one as well,,,
The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.
How to draw a whisker plot?A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.
To create a whisker plot, follow these steps:
Collect the data you want to represent and arrange it in order from smallest to largest.Find the median, which is the middle value of the data set. If the data set has an even number of values, the median is the average of the two middle values.Find the lower quartile (Q1), which is the median of the lower half of the data set.Find the upper quartile (Q3), which is the median of the upper half of the data set.Calculate the interquartile range (IQR), which is the difference between Q3 and Q1.Learn more about whisker plots in https://brainly.com/question/2742784
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\(16 \: 3 \: by \: 4\)
evaluate the answer according to the law of exponents
Answer:
16 3/4=[16×4+3]/4=67/4 is your answer
Find the surface area and volume.
Answer:
surface area=2816 m² & volume =205.33m³
Step-by-step explanation:
here
diameter of base (d) -28 m
radius(r) = d/2=14 m
vertical height of cone (h)-48 m
slant height of cone (l)-50 m
surface area (TSA)-?
volume (v)-?
we know
TSA=(pie*r*l)+pie*r*r
=pie*r(l+r)
=22/7* 14(50+14)
=22*2(64)
=22*128
=2816 m²
again
v=1/3 pie*r*r
=1/3*22/7*14*14
=1/3*22*2*14
=205.33 m³
if 10 man can work 6hours.How many more men are needed towork in 4 hours
Answer:
5 more men
Step-by-step explanation:
10 men do a job in 6 hours.
To do the job in 2 hours, 1/3 of the time, you need 3 times as many men.
30 men do a job in 2 hours.
To do the job in twice the time, 4 hours, you need half the men.
15 men do a job in 4 hours.
15 men - 10 men = 5 men
You need 5 more men.
Consider
the polynomials given below.
P = 1125 + 924 - 42³ 72² + 5
Q = (22² + 1) (42² - 3)
Determine the operation that results in the simplified expression below.
1125 + - 42³ - 52² + 8
O P Q
O
Ο
O
P+Q
PO
Q-P
The polynomial 11x⁵ + x⁴ - 4x³ - 5x² + 8 denotes the expression P - Q. The correct option is option A.
What is an expression?
A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression is (Math Operator, Number/Variable, Number/Variable)
Given polynomials are:
P = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5
Q = (2x² + 1) (4x² - 3)
Simplify the polynomial Q = (2x² + 1) (4x² - 3):
Q = (2x² + 1) (4x² - 3)
Q = 2x²(4x² - 3) + 1(4x² - 3)
Q = 8x⁴ - 6x² + 4x² - 3
Add like terms:
Q = 8x⁴ - 2x² - 3
Now calculate P + Q
P + Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 + 8x⁴ - 2x² - 3
Combine like terms:
P + Q = 11x⁵ + (9x⁴ + 8x⁴) - 4x³ + (- 7x² - 2x²) + 5 - 3
P + Q = 11x⁵ + 17x⁴ - 4x³ - 9x² + 2
Now calculate P - Q
P - Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 - (8x⁴ - 2x² - 3)
P - Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 - 8x⁴ + 2x² + 3
P - Q = 11x⁵ + (9x⁴ - 8x⁴) - 4x³ + (-7x² + 2x² )+ (5 + 3)
P - Q = 11x⁵ + x⁴ - 4x³ - 5x² + 8
Now calculate Q - P
Q - P = 8x⁴ - 2x² - 3 - (11x⁵ + 9x⁴ - 4x³ - 7x² + 5)
Q - P = 8x⁴ - 2x² - 3 - 11x⁵ - 9x⁴ + 4x³ + 7x² - 5
Combine like terms:
Q - P = - 11x⁵ + (8x⁴ - 9x⁴) + 4x³ + (- 2x² + 7x²) - 3 - 5
Q - P = - 11x⁵- x⁴ + 4x³ + 5x² - 8
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If we divide the polynomial P by the factor x - c and we
obtain the equation P(x) = (x – c)Q(x) + R(x), then we say
that x - c is the divisor, Q(x) is the
and R(x) is
the
Hello
Step-by-step explanation:
hello I'm Filipino people
What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Will mark brainliest on this answer!
Answer:
\(\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}\)\(\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)\)Step-by-step explanation:
Given the two points
(-3, 10)(7, 15)Determining the distance between the points
\(\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)
\(\mathrm{The\:distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)\mathrm{\:is\:}\)
\(=\sqrt{\left(7-\left(-3\right)\right)^2+\left(15-10\right)^2}\)
\(=\sqrt{\left(7+3\right)^2+\left(15-10\right)^2}\)
\(=\sqrt{10^2+5^2}\)
\(=\sqrt{100+25}\)
\(=\sqrt{125}\)
\(=\sqrt{5^3}\)
\(=\sqrt{5^2\cdot \:5}\)
\(=5\sqrt{5}\)
Therefore,
\(\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}\)
Determining the midpoints between the points
Given the two points
(-3, 10)(7, 15)\(\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\)
\(\left(x_1,\:y_1\right)=\left(-3,\:10\right),\:\left(x_2,\:y_2\right)=\left(7,\:15\right)\)
\(=\left(\frac{7-3}{2},\:\frac{15+10}{2}\right)\)
\(=\left(2,\:\frac{25}{2}\right)\)
Therefore,
\(\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)\)
the following questions use 3, 6, 5, 4, 7, 5, 6, 4 Round any decimal numbers to the
hundredths place.
4. Find the mean.
5. Find the median.
Answer:
Mean: 5
Median: 5
Step-by-step explanation:
To find the mean you have to add up all the numbers then divided by the total number of numbers you have.
- 3+6+5+4+7+5+6+4=40
- There are 8 numbers so we would do 40 divided by 8 to get our answer,5
To find the median you have to put the numbers from least to greatest then you have to find the middle number.- 3,3,4,4,5,5,6,6,7
You start by taking one number from the smallest number then from the largest number.
-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5
You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.
(CLASSKICK) HELP ASAP!!!
Answer:
94.3
Step-by-step explanation:
You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"
ProportionThe diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.
The solution is found by multiplying both sides by 82:
(x/82)·82 = (115/100)·82
x = 94.3
EquationThe question can also be written as a statement:
"what" is 115% of 82
When written as an equation, "is" means "equals", and "of" means "times":
what = 115% × 82
Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...
x = 115/100 × 82 = 1.15 × 82
All that remains is to evaluate this expression.
x = 1.15 × 82 = 94.3
So, the answer to the question is ...
94.3 is 115% of 82.
CDs are on sale for $5 each. Jennifer has $45 and wants to buy as many as she can. How many CDs can Jennifer buy?
Answer:
9 CDs
Step-by-step explanation:
r u d0mb? 45 divided by 5 = 5 10 15 20 25 30 35 40 45
count the numbers
BOOM ANSWER
NEXT TIME PAY ATTENTION IN 2ND GRADEABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.
Pls hurry!!
Answer:
54
Step-by-step explanation:
ratio is 7:9
7=42
9=?
9×42÷7
SOMEONE PLEASE HELP I WILL MARK U BRAINLIST
Answer:
8
Step-by-step explanation:
2(x+4) =2x+8 and substitute a for 8
-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
6 of 10 Answered
Reset
Submit
Session Timer: 78:05
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C
After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.
The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m
Adama rolls a die with faces labeled 1 through 10. If he rolls the die 40 times how many times would he expect it to land on a number less than 10?
Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is essentially what probability means.
The die has 10 faces, with numbers 1 through 10, but we are interested in the number of times it will land on a number less than 10. That means, there are 9 possible outcomes for each roll to be less than 10.
The expected number of times the die will land on a number less than 10 can be calculated by multiplying the probability of getting a number less than 10 on each roll by the total number of rolls.
The probability of getting a number less than 10 on each roll is 9/10, since there are 9 faces with numbers less than 10 out of the total of 10 faces.
Therefore, the expected number of times the die will land on a number less than 10 is:
E = (9/10) x 40 = 36
Therefore, Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
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☆ 36 times.
— your in college ? im in seventh grade and got this question !
Need help with this math problem
Answer:
Sangayko venchitra ko asalokan gari nimna samuhko ganatmak sankhya Pata lagaunuhos
N(A)
Write the statement in words. Let p= "The plane is on time." Let q="The sky is clear."
Q<->P
The sky or if the sky
Is or is not
,and or, or, then, if and only if
Is or is not
The required statement is "The sky is clear if and only if the plane is on time."
What does mean by the sign <->?The statement "Q<->P" is a logical statement that uses the biconditional operator "<->" which means "if and only if." This operator connects two propositions in such a way that both propositions are true or false together.
In this case, the propositions are "Q" and "P" which are defined as "The sky is clear" and "The plane is on time," respectively. Therefore, the statement "Q<->P" can be translated into words as "The sky is clear if and only if the plane is on time."
This means that the truth of the proposition "Q" (the sky is clear) is dependent on the truth of proposition "P" (the plane is on time) and vice versa.
If the plane is on time, then the sky must be clear, and if the sky is clear, then the plane must be on time. If either of these propositions is false, then the bi-conditional statement is false as well.
Thus, required statement is "The sky is clear if and only if the plane is on time."
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The table represents a quadratic function. Write an equation of the function in standard form.
#5 i
X
-5 -4 -3 -2
g(x) 5 2 5 14
y =
An equation of the function in standard form for the given table of values is 3x² + 24x + 50 = 0.
First, let us understand the standard form of a quadratic equation:
In Mathematics, the standard form of a quadratic equation is given by;
y = g(x) = ax² + bx + c = 0
To write a quadratic function equation in standard form, we would construct the following system of equations from the data in the given table:
5 = a(-5)² + b(-5) + c ⇒ 5 = 25a - 5b + c .......equation 1.
2 = a(-4)² + b(-4) + c ⇒ 2 = 16a - 4b + c .......equation 2.
5 = a(-3)² + b(-3) + c ⇒ 5 = 9a - 3b + c .......equation 3.
14 = a(-2)² + b(-2) + c ⇒ 14 = 4a - 2b + c .......equation 4.
From equation 1 and equation 3, we derive:
25a - 5b + c = 9a - 3b + c
⇒ 25a - 9a = -3b + 5b
⇒ 16a = 2b
⇒ b = 8a
Substituting the value of b into equation 2 and 4, we derive the following equations:
2 = 16a - 4 * 8a + c ⇒ 2 = - 16a + c
14 = 4a - 2 * 8a + c ⇒ 14 = -12a + c
By using the elimination method, the value of a is given by:
2 - 14 = (-16a + 12a) + (b - c)
-12 = - 4a
a = 3
Next, we would determine the value of b as follows:
b = 8a
b = 8 * 3
b = 24
For the value of c, we have:
2 = - 16a + c
c = 16 * (3)+ 2
c = 48 + 2
c = 50.
Substituting the respective values of a, b and c into the standard form of a quadratic equation:
ax² + bx + c = 0
3x² + 24x + 50 = 0
Thus, an equation of the function in standard form for the given table of values is 3x² + 24x + 50 = 0.
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Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high.
What is the volume of the display box?
Answer:
Solution given:
length [l] =6in
wide[w]=9in
height[h]=4in
we have
volume of the display box=lwh=6*9*4=216in³
the required volume is 216 cubic inches.
You have a credit card and on January 1 the balance is $700. On January 8th you purchase a new sofa for $1100. On the 14th you make a payment of $550. On the 22nd you make a purchase of lamps and other household items for $475. What is the average daily balance for January?
Answer:pls brainliest :D
Step-by-step explanation:
To find the average daily balance for January, we need to find the total balance for the month and divide by the number of days in the month.
Starting balance: $700
Sofa purchase: $1100
Payment on January 14th: $550
Lamps and household items purchase: $475
Total balance: $700 + $1100 + $475 - $550 = $1825
There are 31 days in January, so the average daily balance is: $1825 / 31 = $58.87.
Solve . -9 2/7 - (10 3/7)
A. -1 1/7
B. 1 1/7
C. 19 1/7
D. 19 5/7
Answer:
−19 5/7
None of the options match the answer
Step-by-step explanation:
−9 2/7 −10 3/7
=−65/7 −10 3/7
= −65/7 −10 3/7
= −65/7 − 73/7
= −138/7
= −19 5/7
A ball is launched into the sky at 54. 4 ft./s from a 268.8 m tall building. The equation for the ball’s height, h, at time t second’s is h= -3.2t^2 + 54.4t+ 268.8. When will the ball strike the ground?
Answer:
t = 21
Step-by-step explanation:
The ball strikes the groujd when h = 0.
\(-3.2t^2 + 54.4t+268.8=0 \\ \\ 32t^2 - 544t-2688=0 \\ \\ t^2 - 17t-84=0 \\ \\ (t-21)(t+4)=0 \\ \\ t=-4, 21\)
Since time must be positive, t = 21.
A man's gross income is R500 000. He worked at different places throughout the year
and a total of 17% of his earnings was deducted by his employers as PAYE throughout
the tax year. He qualifies for a rebate of R13 257. Calculate how much tax he still
owes. Information taken from the tax table shows that, for a taxable income between
R393 201 and R550 100, R93 135 + 36% above R393 200 needs to be paid.
O R101 678
O R71 774
O R33 326
O R25 191
<
Previou
Next >
The man still owes R87,726 in taxes.
To calculate the tax amount the man still owes, we need to determine his taxable income first.
Gross income: R500,000
Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000
Taxable income: R500,000 - R85,000 = R415,000
Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.
Tax owed: R93,135 + 36% of (taxable income - R393,200)
Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)
Tax owed: R93,135 + 0.36 * R21,800
Tax owed: R93,135 + R7,848
Tax owed: R100,983
Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.
Tax owed - Rebate: R100,983 - R13,257 = R87,726
Therefore, the man still owes R87,726 in taxes.
The correct option is not provided among the given answer choices.
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The given point P is located on the unit circle, similar to what is seen in the image below, determine the sine and cos e(P is
not necessarily in Quadrant I).
(0,1)
(-1,0)
(0,-1)
(1,0)
PLS HELP ME ASAP
The sine and cosine of the angle of point P are sin θ = 143/145 and cos θ = -24/145 respectively. Option b. is the answer
How to determine the sine and cosine of the angle of point P?Given the coordinate of the point as P (-24/145, 143/145)
This implies x = -24/145 and y = 143/145
To determine the sine and cosine of the angle of point P, we can make a sketch using this information (see attached image).
opposite = 143/145, adjacent = -24/145
hypotenuse = √[(-24/145)² + (143/145)²] = √1 = 1
Using trigometric ratios:
sin θ = (143/145) / 1 = 143/145 [sin θ = opposite/ hypotenuse]
cos θ = (-24/145) / 1 = -24/145 [cos θ = adjacent/ hypotenuse]
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Abigail bought 6/8 of a pound of turkey at the deli She used 2/4 of it to make sandwiches for lunch how much of the turkey did Abigail use for sandwiches
Answer:
2/8
Step-by-step explanation:
I think this is subtraction (if not just tell me i'll edit)
6/8 - 2/4 = 6/8 - 4/8 = 2/8
Answer:
4/8
Step-by-step explanation:
2/4 is equivalent to 4/8
She was 2/8 left over btw
what would be the answers for these ????
Answer:
Step-by-step explanation: the y would be 50
Algebra find the value of x in each figure.
Answer:
x=10
Step-by-step explanation:
180-110=70
70=7x
10=x
Give me brainliest?
Answer:
x = 10°
Step-by-step explanation:
7x + 110° = 180° because thy are supplementary angles
subtract 110 from each side:
7x = 70°
divide both sides by 7:
x = 10°
5x - 8 + {6x – [3(x + 8) + 6]} = 6(x + 5)
Answer:
x=28
Step-by-step explanation:
PEMDAS
parenthesis first...
5x-8+(6x-3x-24+6)=6x+30 *remember to distribute the negative sign*
5x-8+(3x-18)=6x+30
8x-26=6x+30
2x=56
x=28
Evaluate the expression shown.
18 ÷ (1/2 - 1/3)
The value of the expression is....