Answer:
17/4
or
17 ÷ 4
Step-by-step explanation:
This equals 4.25.
hope this helps
have a good day
The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Convert the statement 'quotient of seventeen and four' into a mathematical expression. Then we have
⇒ 17 / 4
Convert the fraction number into a mixed fraction number, then we have
⇒ 17 / 4
⇒ 4 ¹/₄
The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.
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The missing options are given below.
A. 4 1/4 B. 4 3/4 C. 3 1/4 D. 3 3/4
2 Latoya has 60 CDs in her collection.
• 40 are Pop
. 12 are Country
• 6 are Rock
• 2 are Jazz
.
If she randomly selects a CD from her collection, what is the probability that she will NOT select a Country CD?
60 cds - 12 country = 48 cds are not country.
probability of picking one that is not country = total of non country/ total cds
probability = 48/60 which reduces to 4/5
answer: 4/5
The pie below is cut into 9 equal slices. Shade 1/3 of this pie.
Answer:
shade 3 slices
Step-by-step explanation:
9*1/3=3
PLEASE 100 POINTS AND BRAINLIEST IF U DO IT ALL PLSSSSS I NEED HELP!!!PLSSSSSS HELP PLSSSSS
Applying the volume of a rectangular prism, the following are determined:
A & G has a solution of 120.
B & F: 714
C & E: 56
D & H: 9.5
What is the Volume of a Triangular Prism?Volume = base area × height of prism = 1/2(bh) × H
A. Volume = 1/2(bh) × H = 1/2(6)(8) × 5 = 120 units³
B. Volume = 1/2(bh) × H = 1/2(6)(14) × 17 = 714 units³
C. Volume = 1/2(bh) × H = 1/2(12)(8) × x = 2,688 units³
48x = 2,688
x = 2,688/48
x = 56 units (height of the prism)
D. Volume = base area × height of prism
Plug in the given values
27.36 = base area × 2.88
27.36/2.88 = area of triangular base
area of triangular base = 9.5 units².
E. Volume = 1/2(bh) × H = 1/2(8)(15) × x = 3,360 units³
60x = 3,360
x = 3,360/60
x = 56 units (height of the prism)
F. Volume = 1/2(bh) × H = 1/2(17)(4) × 21 = 714 units³
G. Volume = 1/2(bh) × H = 1/2(3)(5) × 16 = 120 units³
H. Volume = 1/2(bh) × H = 1/2(1.9)(2) × 5 = 9.5 units³
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How many two-digit, positive integers can be formed from the digits 1, 3, 5, and 9, if no digit is repeated?
24
16
12
Answer:
12
Step-by-step explanation:
Using Permutation Formula :
⁴P₂4! / 2!4 x 3 x 2! / 2!4 x 312Cathleen Brooks obtained an 18 month loan of $3,200. The interest rate is 15% Her monthly payment is $199.68. The balance of the loan after 6 payments
is $2,341.45.
a. What is the interest for the first payment?
b. What is the interest for the seventh payment?
a. The interest for the first payment is $40.
b. The interest for the seventh payment is $29.27.
What is interest?In financial accounting and management, interest refers to the finance charge for obtaining or giving a loan or credit.
The interest payment or revenue is based on the interest rate applied to the principal or loan balance.
Data and Calculations:Loan = $3,200
Monthly payment = $199.68
Interest rate = 15%
Loan balance after 6 payments = $2,341.45
Interest for the first payment = $40 ($3,200 x 15% x 1/12)
Interest for the seventh payment = $29.27 ($2,341.45 x 15% x 1/12)
Thus, while the interest for the first payment is $40, the interest for the seventh payment is $29.27.
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Prove all the relation of quadric polynomial.
Kindly need help!!!
[tex]{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}[/tex]
Let [tex]\alpha[/tex] and [tex]\beta[/tex] be the two zeroes of P(x) = [tex]\sf {a}^{2} + bx + c[/tex]
• A polynomial is always equal to it's factors, also the constant "k" is not equal to zero
[tex] \tt \sf {a}^{2} + bx + c = k(x - \alpha )(x - \beta )[/tex]
• Using distributive property
[tex]\tt \sf {a}^{2} + bx + c = k \bigg( {x}^{2} - \beta x - \alpha x + \alpha \beta \bigg)[/tex]
[tex]\tt \sf {a}^{2} + bx + c = k {x}^{2} -k (\beta x )- k(\alpha x )+k( \alpha \beta )[/tex]
• Taking common
[tex]\tt \sf {a}^{2} + bx + c = k {x}^{2} -kx (\beta + \alpha)+k( \alpha \beta ) - - (1)[/tex]
• Equating coefficients of like terms
[tex] \sf \: a = k - - (2)[/tex]
[tex] \sf b = - k( \alpha + \beta ) - - (3)[/tex]
[tex] \sf c = k \alpha \beta - - (4)[/tex]
★ From 3
[tex] \sf b = - k( \alpha + \beta ) - - (3)[/tex]
★ From 2 we have a = k so we have -
[tex] \sf b = - a( \alpha + \beta ) [/tex]
[tex]\sf - \dfrac{b}{a} = ( \alpha + \beta ) [/tex]
[tex]\sf \therefore \boxed {{ \red{( \alpha + \beta ) = - \dfrac{b}{a} } }}[/tex]
• Sum of zeros = [tex]- \dfrac{b}{a}[/tex]
★ From 4
[tex] \sf c = k \alpha \beta - - (4)[/tex]
★ From 2 we have a = k so we have -
[tex] \sf c = a \: \alpha \: \beta[/tex]
[tex]\sf \dfrac{c}{a} = \alpha \beta[/tex]
[tex]\sf \therefore \boxed {{ \red{( \alpha \beta ) = \dfrac{c}{a} } }}[/tex]
• Product of zeros = [tex] \dfrac{c}{a}[/tex]
Also,
★ From 1
[tex]\tt \sf {a}^{2} + bx + c = k {x}^{2} -kx (\beta + \alpha)+k( \alpha \beta ) - - (1)[/tex]
[tex]\tt \sf {a}^{2} + bx + c = k \bigg( {x}^{2} -x ( \alpha + \beta ) + ( \alpha \beta \bigg) [/tex]
• Now just put S instead of sum of zeroes and P instead of product of zeroes
[tex] \tt \sf {a}^{2} + bx + c = k \bigg( {x}^{2} -x ( S ) + ( P \bigg) [/tex]
[tex]\tt \sf{a}^{2} + bx + c = \boxed{ \red{ \sf \tt k \bigg( {x}^{2} - Sx + ( P \bigg ) }}[/tex]
[tex]\rule{280pt}{2pt}[/tex]
Pls Help me with this!!!
Question:
A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles. It has a lateral surface area of 81 square feet. What is the surface area of the regular triangular pyramid?
Answer:
The surface area of the regular triangular pyramid is 108 square centimetres.
Step-by-step explanation:
What is a regular triangular pyramid?
A triangular pyramid is a three-dimensional shape that has a triangular base and three triangular faces.
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
The surface area of a triangular pyramid is the sum of the areas of the four faces of the pyramid.
What is the surface area?
The area of one face = lateral surface area / 3
81 / 3 = 27
The surface area = 27 x 4 = 108
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
========================================================
Explanation:
The circumference is the perimeter of the circle. It's the distance around the circle's edge. Think of it like a fence.
The full circle's perimeter is 6 units. The arc length is a piece of that and it's 1 unit.
1/6 of the full perimeter is the arc length
1/6 of a full 360 degree rotation is (1/6)*360 = 360/6 = 60
The central angle of the arc is 60 degrees.
------------
If you want to use a formula, it would be
[tex]A = \frac{L}{C}*360[/tex]
where,
A = central angle of the arc
L = arc length
C = circumference
You would plug in L = 1 and C = 6 to find that A = 60
thats the questin i need halp with
Answer:
40% increase
Step-by-step explanation:
7-5=2
plug in:
2/5=x/100
x=40
40% increse
The sandwhich increased by 2 dollars. The amount of change must be divided by the original. 7-5 is 2, which means we must divide 2 by 5. 2/5 is .40. Which translates to 40% or 40/100. This means that the price of the sandwhich increased 40%.
Hope this helped you <3!
(sqrt3-sqrt3i)^4
(-1+sqrt3i)^12
(sqrt 3-i)^6
(sqrt2-sqrt2i)^8
(sqrt2-i)^6Simplify the complex numbers and arrange them in increasing order of their absolute value (modulus).
The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
Absolute values of the complex numbersThe absolute values of the complex numbers are determined as follows;
(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴
[tex]|z| = \sqrt{(\sqrt{3} )^2 + (\sqrt{3 }\times1 )^2} } \\\\|z| = \sqrt{6}[/tex]
(-1+sqrt3i)^12 = (-1 + √3i)¹²
[tex]|z| = \sqrt{(-1)^2 + (\sqrt{3)^2} } \\\\|z| = \sqrt{4} \\\\|z| = 2[/tex]
(sqrt 3-i)^6 = (√3 - i)⁶
[tex]|z| = \sqrt{(\sqrt{3})^2 + (-1)^2 } \\\\|z| = \sqrt{4} \\\\|z| = 2[/tex]
(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸
[tex]|z| = \sqrt{(\sqrt{2} )^2 + (\sqrt{2})^2 } \\\\|z| = 2[/tex]
(sqrt2-i)^6 = (√2 - i)⁶
[tex]|z| = \sqrt{(\sqrt{2})^2 + (-1)^2} } \\\\|z| = \sqrt{3}[/tex]
Increasing order of the complex numbers;
(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
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Answer:
see screenshot below
Step-by-step explanation:
correct on edmentum
Solve the following inequality.
3x+5<6x-1
Answer
x > 2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variable
Maya invests $6,000 into an ETF which earns 3% per year. In 30 years, how much will Maya's investment be worth if interestis compounded semiannually (twice a year)?
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the value of the variable in the figure. The diagram is not a scale.
Volume=30pi
X=___
Answer:
3
Step-by-step explanation:
Volume of a cone
V = pi x r^2 x h/3
So plug in the values we have
30pi = pi x r^2 x 10/3
30 = r^2 10/3
9 = r^2
3 = r
14 Orange-U-happy is an orange-scenteldeaning produthal is manu- factured in disposable doth pads. Each box of 100 pads sonts $5 to man. ufacture. The fixed costs for Orange-1-Hapoy a $30,000. The research development group of the company has determined the demand func- tion to her = 5000 - 20.060, where p is the price for each box a. Write the expense cuation in terms of the demand, b. Expres the expense function in terms of the price 9 c. Write the revenue function in terms of price. p.
Answer:
Consider the following statements, Each box of 100 pads of an orange-u happy costs$5 to manufacturer. The variable costs for manufacturing q boxes at 100 pads will be V=5.4
Step-by-step explanation:
Peter brought chocolate and vanilla cupcakes to school for his birthday. 2 students picked a vanilla cupcake and 23 students picked a chocolate cupcake. What percentage of the students picked a vanilla cupcake?
Answer:
8%
Step-by-step explanation:
Add 2 and 23 together to get 25.
Divide 2 by 25 to get 0.08.
Covert 0.08 into percentage: 8%
Write an equation for a line that passes
through the point (0, 4) and (1,6).
Answer:
y=2x+4
Step-by-step explanation:
Jaya has a piece of paper that is 16 inches long and 9 inches wide. She cuts it into pieces that are each 3 inches long and 2 inches wide What is the greatest number of 3-inch-by-2-inch pieces that Jaya can get? Enter the answer in the box.
Answer:
24
Step-by-step explanation:
Jayla has a couple of options for cutting her original piece of paper.
she can cut the 3 inch length from the long dimension of the paper, giving her 5 strips from the length and 4 strips from the width for a total of 20 3×2 piecesshe can cut the 3 inch length from the short dimension of the paper, giving her 3 strips from the 9-inch width, and 8 strips from the 16-inch length, for a total of 3×8 = 24 pieces.The greatest number of 3×2 pieces Jayla can cut is 24.
__
The attachments show the different cuts as described above.
Hello, can someone help me with this please, I have to watch the video and then answer the questions below.
1. How can having children act out number operations stories help their conceptual understanding?
2. What are your thoughts about the way these teachers put the emphasis on helping children see change in terms of more or fewer/less rather than having them count on to find the exact total?
3. Several of the children in the video are English Language Learners; what evidence do you see that they understand the Big Ideas though they don't articulate them in words?
Segment AB has point A located at (4,2). If the distance from A to B is 3 units, which of the following could be used to calculate the coordinates for point B?
3 = √(x - 2)²+(y - 4)^2
3= V(x-4)2 +(y-2)^2
3 = V(x + 2)2 + (y+4)^2
3=(x+4)^2+(y+2)^2
The equation to calculate the coordinates of point B is (b) 3 = √(x - 4)²+(y - 2)²
How to determine the equation?The given parameters are:
A = (4,2)
AB = 3
The distance formula is:
AB = √(x - x1)²+(y - y1)²
So, we have:
3 = √(x - 4)²+(y - 2)²
Hence, the equation to calculate the coordinates of point B is (b) 3 = √(x - 4)²+(y - 2)²
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The number of Smart TVs owned by residents in Picayune increased by 25% this year. Assuming that the 824 Smart
TVs owned last year are still being viewed, what is the total number of Smart TVs in Picayune this year?
A)
206
B)
618
942
D)
1,030
Answer:
25% of 824
25/100 × 824
206
New prices of the TV is
824+206= 1030
Given that y is inversely proportional to x y =0.25 when x =4, find the value of y when x =5
Answer: y=0.2
Step-by-step explanation:
y∝(1/x)
this implies that
y=k/x eq(*)
when y =0.25 when x =4
0.25=k/4
k=1
for y when x=5
y=k/x
y=1/5
y=0.2
Bert is making a bracelet with green and blue beads. He uses green beads for the first 6
centimeters. Now, he wants to add blue beads to the bracelet so the total length is 20
centimeters. If each blue bead has a width of 7 millimeters, how many blue beads will he use
to finish the bracelet?
Which graph shows a proportional relationship between x and y?
A)
B)
C)
D)
Answer:
C
Step-by-step explanation:
If the graph of a relationship is a line or a ray through the origin, then it is proportional.
The line in graph C goes through the origin (0,0)
Ricardo has a bag of mixed fruit snacks. In the bag, there are 12 cherry fruit snacks and 18 strawberry fruit snacks. What is the ratio of strawberry to cherry?
A.
3:2
B.
1:12
C.
2:3
Answer:
18:12 = A. 3:2
Step-by-step explanation:
Because they are equivalent ratios, they are the same, it also said ratio of strawberries to cherries so I put it in that order.
Can I please have branliest
okay thank you have a good day
Surface area and volume of cone
The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.
What is volume?Volume is the capacity of an object.
To calculate the surface area and volume of the cone shown above, we use equation 1 and equation 2 respectively.
Formula:
S = πr√(r²+h²)............. Equation 1V = πr²h.................. Equation 2Where:
S = Surface area of the coneV = Volume of the coner = Radius of the base of thye coneh = Vertical height of the cone.From the diagram,
Given:
r = 10 kmh = 24 kmπ = 3.14Substitute these values into equation 1 and equation 2 respectively.
S = 3.14×10[√(24²+10²)S = 31.4(√676)S = 31.4×26S = 816.4 km²Also for the volume of tyhe cone
V = 3.14×10²×24V = 7536 km³Hence, The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.
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Standard KY Updated Fall 2021
English
Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x + 3] + 4? Check three
options.
2 f(x) = -2 (x - 8)2
O h(x) = -5 |xl + 10
Oj(x) = -4(× + 2)2 + 8
O K0) = }0x-412+4
O m(x) = =Ix-8| +6
[tex]f(t) = (t-s)² - q 9
(4-5)² = 9 = 0
(t - 5) ^ 2 = 9
t - 5 = 3or 4-5=-3
(x + 2)(x + 4) = 0
X+26
t=8 or t= 2
f(x) = (x + 2)(x + 4)
vertex: (5,-9) # 1rt = 5
Zeros
y = f(+)
vertex
• line of symmetry[/tex]
Using it's concept, it is found that the functions that have a greater y-intercept than g(x) = |x + 3| + 4 are given as follows:
h(x) = -5|x| + 10.k(x) = 0.25(x - 4)² + 4.m(x) = 0.25|x - 8| + 6.What is the y-intercept of a function?It is the value of the function when the input is of zero, that is, f(0). An intercept of a rational function is a point where the graph of the rational function intersects the x- or y-axis.
here, we have,
For g(x) = |x + 3| + 4, we have that g(0) = 7. As for the other functions, we have that:
f(x) = -2(x - 8)² -> f(0) = -128.
h(x) = -5|x| + 10 -> f(0) = 10 -> Greater than g(x).
j(x) = -4(x + 2)² + 8 = f(0) = -8.
k(x) = 0.25(x - 4)² + 4 -> f(0) = 8 -> Greater than g(x).
m(x) = 0.25|x - 8| + 6 -> f(0) = 8 -> Greater than g(x).
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What is the linear equation of the horizontal line that passes through the point (–3, 4)?show your work
giving brainliest!
if the ordered pair (x,y) is (-3, 4), then the othre ordered pair would (0,0)
Then, you find the slope(m).
So, m = y2 - y1
x2 - x1
if y2 is 4 and y1 is 0
x2 is -3 and y1 is 0
now you subtract to get -4
3
So, m= -4
3
Then, find the y-intercept
So, y=mx+b and substitute the ordered pair (0,0) into y= mx+b
y=mx+ b
0= -4(0) +b
3
0=0+b
-0 -0
b=0
So the equation is y= -4x
3
Which point on the number line could represent Negative 2 and one-fourth? A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is between negative 2 and negative 1, point D is between negative 1 and 0. A B C Dm
Answer:
Point B
Step-by-step explanation:
Let's take your number line from -5 to +5
The point on the number line is -2 1/4
Point A is between -4 and -3, Point B is between -3 and -2, Point C is between -2 and -1, and Point D is between -1 and 0. Because -2 is not between -4 and -3 or -1 and 0, it has to be either Point B or C. Since -2 has a fraction of 1/4, it is between Point B. It would be Point C if it was -1 1/4 and not -2 1/4. Let me show you on the number line (It is not to scale, sorry haha)
<--------------------------0---------------------------->
-5 -4 -3 -2 -1 1 2 3 4 5
| | | |
A B C D
-3 > -2 1/4 > -2
Answer:
B
Step-by-step explanation:
I took the test
Can anyone help me solve this problem?
Given
[tex] \text{Base = 4} \\ \text{Perpendicular= 8}[/tex]
To Find
Hypotenuse of the triangle.
Assuming,
[tex] \text{Perpendicular = ‘a’}[/tex]
[tex] \text{Base = ‘b’}[/tex]
[tex] \text{Hypotenuse= ‘c’}[/tex]
Solution[tex] \text{(c)² = (a)² + (b)²} \\ \\ \implies \text{ (c)² = (8)² + (4)²} \\ \\ \implies \text{(c)}^{2} = 64 + 16 \\ \\ \implies \text{(c)}^{2} = 80 \\ \\ \implies \text{(c)} = \sqrt{80} \\ \\ \implies\text{(c)} = 8.94[/tex]
[tex]\text{Rounding it to the nearest tenth = 8.9}[/tex]
[tex]\therefore \text{Hypotenuse of the triangle = 8.9}[/tex]
Option D= 8.9 units is the correct answer
Hope this helps!!if each polygon has 12 sides and each side length was 20 cm what is the area
Answer: approximately 4478.46096908264 square cm.
==========================================================
Explanation:
I'm assuming this is a regular 12-sided polygon
The area formula for regular polygons is
[tex]A = 0.25n*s^2*\cot(180/n)[/tex]
where in this case we have n = 12 sides and each side is of length s = 20
So,
[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*12*(20)^2*\cot(180/12)\\\\A = 0.25*12*(20)^2*\cot(15)\\\\A = 0.25*12*(20)^2*\frac{1}{\tan(15)}\\\\A \approx 4478.46096908264\\\\[/tex]
The area of this regular polygon is approximately 4478.46096908264 square cm.
Make sure your calculator is in degree mode when computing that value of cot(15) or 1/tan(15).
