Answer:
C.14
Step-by-step explanation:
Find the volume of the cone with the given dimensions: d = 26 cm, h = 10 cm
Answer:
¹⁶⁹⁰/₃π cm³ ≈ 1769.76 cm³
Step-by-step explanation:
Equation of a volume of a cone: V = ¹/₃ * πr²h
1. Find r (radius): r = d/2 = 26/2 = 13 cm
2. Plug in everything into equation: V = ¹/₃ * π(13)² * 10
3. Square: V = ¹/₃ * π * 169 * 10
4. Multiply: V = ¹⁶⁹⁰/₃π cm³ ≈ 1769.76 cm³
if it has a diameter of 26 cm, then its radius is half that, or 13.
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=13\\ h=10 \end{cases}\implies V=\cfrac{\pi (13)^2(10)}{3} \\\\\\ V=\cfrac{1690\pi }{3}\implies V\approx 1769.76[/tex]
Joan is 5 years older than Ellen, and 3 years ago the sum of their ages was 17 years. In how many years will Joan be 21 years old?
Answer:
7
Step-by-step explanation:
If J is Joan's current age and E is Ellen's current age, then:
J = E + 5
(J - 3) + (E - 3) = 17
Solve the first equation for E:
E = J - 5
Substitute into the second:
(J - 3) + (J - 5 - 3) = 17
J - 3 + J - 8 = 17
2J - 11 = 17
2J = 28
J = 14
Joan is 14, so in 7 years, she will be 21.
A counterexample for the expression sinx+cosx=1 is 45 degrees T or F
True
Step-by-step explanation:A counterexample is a special type of example that is an exception to a general rule, law, proposition or statement. Hence if we prove that [tex]sin(45^{\circ})+cos(45^{\circ})\neq 1[/tex] then this is a counterexample for the expression [tex]sin(x)+cos(x)=1[/tex]. Thus:
[tex]sin(x)+cos(x)=1 \\ \\ Substituting \ x=45^{\circ} \ we \ have: \\ \\ sin(45^{\circ})+cos(45^{\circ})=1 \\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}=1 \\ \\ Rewriting:\\ \\2\frac{\sqrt{2}}{2}=1 \\ \\ \therefore \sqrt{2}=1 \ FALSE![/tex]
So we observe that the equation is not fulfilled because [tex]\sqrt{2}\neq 1[/tex]. In conclusion:
A counterexample for the expression sin(x)+cos(x)=1 is 45° is true!
Which of the following measurements are less than 5 feet? Select all that apply.
Answers:
A) 56 Inches
B) 1 Yard
Explanation:
A) 56 Inches is 4.6 Feet
B) A Yard is 3 Feet
Note:
C) 1 Yard 2 Feet is exactly 5 feet but not less than five as its equal.
Answer:
The answer is A. and B
56 inches, and 1 yard
Step-by-step explanation:
i took it on my unit practice.... pls give me brainliest..! tysm
A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?
Answer:
The volume for a cylinder is [tex]\pi[/tex][tex]r^{2} h[/tex].
The diameter is half of the radius, so the r=2.
So pi x 2^2 x 12, this equals around 150.8 cubic feet.
I don't know what are your choice so just pick one that is closest to 150.8
The blue dot is at what value on the number line
The blue dot on the number line has a value of 6.
To determine the value of the blue dot on the number line, we need to understand the spacing between consecutive dots. Given that the fifth dot is marked as 2 and the seventh dot is marked 10, we can calculate the spacing between each consecutive dot.
The spacing between each pair of dots is given by:
[tex]\[ \text{Spacing} = \frac{\text{Value of Seventh Dot} - \text{Value of Fifth Dot}}{\text{Number of Dots between}} \][/tex]
Substitute the given values:
[tex]\[ \text{Spacing} = \frac{10 - 2}{7 - 5} = \frac{8}{2} = 4 \][/tex]
Now, calculate the value of the blue dot:
[tex]\[ \text{Value of Blue Dot} = \text{Value of Fifth Dot} + (\text{Spacing} \times \text{Number of Dots to the Blue Dot}) \][/tex]
[tex]\[ \text{Value of Blue Dot} = 2 + (4 \times 1) = 6 \][/tex]
Therefore, the blue dot on the number line has a value of 6.
Write the slope-intercept form of the equation for the line.
Answer:
d
Step-by-step explanation:
Bryson and his cousins plan to all chip in to get their grandmother a $250
Christmas present. They can afford to put it on layaway with a 5% down
payment and pay $30 a month after that. If payments are due at the
beginning of each month, when should Bryson and his cousins make their
first monthly payment?
O A. July 1
O B. April 1
O C. June 1
O D. May 1
Answer: May 1st
Step-by-step explanation:
They have pay initially the down payment of 5% and the first month's installment.
You should start on May 1, because if you want to get it for her for Christmas.
Option D is correct.
What is monthly payment and down payment?The monthly payment is the amount paid per month to pay off the loan in the time period of the loan.
Down payment is the initial deposit made by the buyer to the seller when purchasing an expensive item, such as residential property or a car.
According to the question
Bryson and his cousins plan to all chip in to get their grandmother a $250 Christmas present.
They make a down payment of 5% and pay $30 a month after that.
If the payments are due at the beginning of each month, then they have to pay the first month's installment with their down payment.
That means they have pay initially the down payment of 5% and the first month's installment.
Total price = $250
Down payment = $250 x 5% = $12.5
Remaining amount = 250 - 12.5 = 237.5
= [tex]\frac{237.5}{30} =7.91[/tex] ≈ 8 months
You should start on May 1, because if you want to get it for her for Christmas.
May to December is 8 months.
Option D is correct.
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how to solve exponential equations
Answer:
Step-by-step explanation:
Let me give you an example of a exponential equation and if you need more help let me know.
Ex: 3^2x-1=27
3^2x-1=3^3 (3x3x3=27)
2x-1=3
2x+4
x= 2.
Hope my answer has helped you!
Solving exponential equations involves understanding exponential notation, the concept of logarithms, the rules of division in exponentials, and the relationship between the exponent and the decimal shifts.
Explanation:To solve exponential equations, understanding exponential notation is crucial. This notation is used to express very large and very small numbers as a product of two numbers. The first number of the product referred to as the digit term, is usually not less than 1 and not equal to or greater than 10. The second component of the product considered the exponential term, is written as 10 with an exponent. Definitely, knowing about the squaring of exponentials is helpful, where you square the digit term in the typical way and multiply the exponent of the exponential term by 2.
What also comes in handy in this process is the concept of logarithms. For instance, the logarithm of a product of two numbers is the sum of the logarithms of the two numbers. To put it in a mathematical expression, log xy = log x + log y.
Moreover, when dealing with division in exponential equations, you typically divide the numbers out front and subtract the exponents. For example, if you have 10⁶ divided by 10³, you will get 10^(6-3) = 10³.
Lastly, the power or exponent of 10 is equal to the number of places the decimal is shifted. For example, 1,230,000,000 can be written as 1.23 × 10⁹, and 0.00000000036 can be written as 3.6 × 10⁻¹⁰.
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Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis?
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
In a reflection across the y-axis the y-coordinate remains the same, but the x-coordinate is transformed into its opposite
we have
[tex]f(x)=2(0.4)^{x}[/tex]
The reflection of f(x) across the y-axis is equal to the function g(x)
[tex]g(x)=2(0.4)^{-x}[/tex]
The graph in the attached figure
The graph which best represents a reflection of f(x) across the y-axis is; f(x) = 2(0.4)^-x.
[tex]f(x) = 2(0.4)^{-x}[/tex]
What is the reflection of the graph of the function?A reflection of a point over the y -axis is given by a rule in accordance with mathematical convention. The rule in discuss for a reflection over the y -axis is (x,y)→(−x,y).
Hence, the reflection of the graph is given by the function; f(x) = 2(0.4)^-x.
[tex]f(x) = 2(0.4)^{-x}[/tex]
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a graphic designer chose a base font size and represented it as 1 on the scale. he then listed some consecutive scale sizes. two consecutive sizes were 5.832 and 10.4976.
what scale size came before 5.832 ?
Answer:
3.24
Step-by-step explanation:
You would use the two fonts given to find the scale factor.
So the scale factor would be 10.4976/5.832 = 1.8
So if the scale factor is 1.8 we can use that to find the font size just before that. To do this you would divide the font size by the scale factor.
So
5.832/1.8 = 3.24
The font size just before 5832 is 3.24.
Hope this helps, if there is an error in my work please correct me.
The probability of a certain spinner landing on yellow is 2/3. If you spin this spinner 45 times how many times would you expect the spinner to land on yellow? Explain how you determined your answer.
Answer:
45*2/3 is 90/3 which is 30 times
Step-by-step explanation:
What is the value of x
Check the picture below.
The area of the figure is___ square units.
(21•8)-(8•3/2)-(8•6/2)=
168-12-24= 168-36=132
The big rectangle-small triangle on the left-triangle on the right
35 POINTS
I have a rectangular prism with the dimensions of:
9cm 4cm 12cm
SA=2(4x9+12x9+12x4)=384
V=9x4x12=432
Question: I need a figure (figures - triangular prism, cube, pyramid, cone, cylinder, sphere) to have dimesions that will have less surface area but the same volume as the rectangular prism.
Answer:
500.874
Step-by-step explanation:
Graph the line Y=2/3x-1
Since this is a linear question in y=mx+b form, and where m is the slope of the line and b is the y-intercept....
The slope in this problem is 2/3
And y intercept is -1
So you would graph the point -1 on y axis then go up 2/3 since it’s positive( go up 2 over 3)
A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. The dyers have to make at least 22 rugs, and they must do it in less than 240 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 22 to create a system that represents this situation?
8x + 12y > 240
12x + 8y > 240
8x + 12y < 240
12x + 8y < 240
Answer:
8x + 12y < 240
Step-by-step explanation:
If x equals the number of small rugs and y equals the number of medium rugs dyed, we would need to multiply both variables by the number of hours taken to dye each sized rug. It takes 8 hours to dye a small rug (8x), and 12 hours to dye a medium rug (12y).
Then, to find the total number of hours they dye them in, add the terms together.
8x + 12y
The company must dye the rugs in less than 240 hours, so we will use a 'less than' (inequality) sign (it cannot be 240, or any more than 240).
8x + 12y < 240
Answer:
c
Step-by-step explanation:
If the endpoints of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?
A.
(5, 3)
B.
(4, 5)
C.
(5, 5)
D.
(4, 3)
For this case we have that by definition, the formula of the midpoint is given by:
[tex]MP = (\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2})[/tex]
We have the points are:
[tex](x_ {1}, y_ {1}) :( 9,8)\\(x_ {2}, y_ {2}): (- 1, -2)\\MP = (\frac {9 + (- 1)} {2}, \frac {8 + (- 2)} {2})\\MP = (\frac {9-1} {2}, \frac {8-2} {2})\\MP = (\frac {8} {2}, \frac {6} {2})\\MP = (4,3)[/tex]
Answer:
Option D
Answer:
option D is right on plato
Step-by-step explanation:
In the figure below what is the value of x
Answer:
It would be 32. my G
Answer:
D
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
100° is an exterior angle while 68° and x° are the opposite interior angles, thus
x + 68 = 100 ( subtract 68 from both sides )
x = 32° → D
Identify the property used in this equation:
3 + [7 + (–4)] = (3 + 7) + (– 4)
Answer:
Associativity property of Addition
Step-by-step explanation:
The associate property defines that grouping of more than two numbers and performing the basic arithmetic operations of addition and multiplication does not affect the final result. Note that grouping means placing the parenthesis.
The property used in this equation is the associative property of addition.
What is the associative property of addition?Associative property states that changing the order in which addends are grouped has no effect on the sum.
(a + b) + c = a + (b + c)
The equation given in the question is:
3 + [7 + (–4)] = [3 + 7] + (– 4)
The associative property states that (a + b) + c = a + (b + c)
Both equations are matching.
Hence, the equation given in the question clearly follows the associative law of addition.
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Measure the length to the nearest fourth inch
Answer:
you need to give more info please
Step-by-step explanation:
To measure length to the nearest fourth inch, use a ruler or measuring tape that shows inches and fractions of an inch. Align the beginning of the ruler or tape measure with one end of the object and identify the nearest one-fourth inch mark.
Explanation:When measuring length to the nearest fourth inch, you can use a ruler or a measuring tape that shows inches and fractions of an inch. Start by aligning the beginning of the ruler or tape measure with one end of the object you want to measure. Then, identify the nearest one-fourth inch mark on the ruler or tape measure and record the measurement. For example, if the object aligns with the 3 1/4 inch mark, the length can be recorded as 3 1/4 inches.
CAN SOMEONE HELP ME SOLVE THIS
Answer:
60
Step-by-step explanation:
Answer:
x = 60°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
x + x + x = 180
3x = 180 ( divide both sides by 3 )
x = 60
The triangle is equilateral
Rasheed bought five funnel cakes and three milkshakes for a total of 47.25 (more below, please help!!)
Answer:
The cost of a funnel cake is $6.75 and the cost of a milkshake is $4.50
Step-by-step explanation:
Let
x-----> the cost of a funnel cake
y----> the cost of a milkshake
we know that
5x+3y=47.25 -----> equation A
2x+6y=40.50 ----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (6.75,4.50)
see the attached figure
therefore
The cost of a funnel cake is $6.75
The cost of a milkshake is $4.50
Several thousand teens were asked one question, "What do you think are the chances you will be married in the next ten years?" The two-way table shows the responses separated by gender.
The percent of females among the respondents was
A) 2625
B) 4877
C) about 46%
D) about 54%
Answer:
about 54% of the people surveyed were females
Step-by-step explanation:
to calculate the % of females out of everyone, you need to add everyone up, and then add up only the females.
119+150+447+735+1174+103+171+512+710+756=4877
4877 is the Total number of people surveyed
119+150+447+735+1174=2625
2625 is the total number of females surveyed
so
to convert 2625/4877 to a %, first turn it into a decimal
2625/4877=0.538
now multiply 0.538 by 100
0.538*100=53.8%
so about 54% of the people surveyed were females
D) about 54% of the people were women
Someone please help me!
Answer:
ΔAGB ≅ ΔCGBStep-by-step explanation:
Look at the picture
Regina is in charge of purchasing notepads to give away at an upcoming trade show. She knows that 65 boxes of notepads will contain a total of 1,625 pads. How many notepads will she receive if she purchases 48 boxes?
1,608
1,200
1,560
1,450
2,200
The answer is 1,200.
Hope this helps!
Answer:
Option B. 1,200.
Step-by-step explanation:
Regina is in charge of purchasing notepads to give away at an upcoming trade show.
she knows that 65 boxes of notepads will contain a total of 1,625 pads.
We calculate this by unitary method. first we calculate the amount of pads in one box.
∵ 65 boxes contains = 1,625 pads
∴ in one box = 1,625 ÷ 65 = 25 pads
She purchases 48 boxes, so she will receive = 25 × 48 = 1,200 pads
She would receive 1200 pads if she purchases 48 boxes.
Write an equation of a line wit the given slope and y intercept
Answer:
Step-by-step explanation:
the standard equation of a line is in the form y=mx+b where m is the slope and b is the y intercept so if m = 1/4 and b = -3/4 you can just replace those spots giving you y=1/4x+-3/4
solve for x (x+3)/6 > (x-1)/2
Answer:
x< [tex]x<−32 or x>−43[/tex]
Step-by-step explanation:
During the school fundraiser, lsaac sold tubs of cookies dough for $15 each. He made $165. Write an equation that could be used to find the number of tubs that Dominic sold.
165\15= number of tubs
165 divided by 15 equals the amount of the tubs that he sold.
(I assume the two different name things, isaac&dominic, is a mistake since there isnt any information for Dominic)
How long is the segment from(-5,2)to(-5,-8)
Answer:
10
Step-by-step explanation:
To calculate the distance d use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, 2) and (x₂, y₂ ) = (- 5, - 8)
d = [tex]\sqrt{(-5+5)^2+(-8-2)^2}[/tex]
= [tex]\sqrt{0^2+(-10)^2}[/tex]
= [tex]\sqrt{0+100}[/tex] = [tex]\sqrt{100}[/tex] = 10