Answer:
see below
Step-by-step explanation:
The domain is the input values which is the independent variable
The range is the output values which is the dependent variable
Determine the equation of the line shown in the graph: x = 3 y = 3 y = 0 x = 0
Answer:
X=3
Step-by-step explanation:
since the 3 on the X-Axis is marked and not 3 on the Y-Axis
One fourth of a number is added to one fifth of the same number. If the result is 18, find the number
Answer:
[tex]40[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number.
[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]
[tex]\frac{9}{20} x=18[/tex]
[tex]x=18 \times \frac{20}{9}[/tex]
[tex]x=40[/tex]
If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40
Let the given number be represented by x
One-fourth of the number = x/4
One-fifth of the same number = x/5
One-fourth of the number is added to one fifth of the same number =
x/4 + x/5
The result is 18
This can be represented mathematically as:
x/4 + x/5 = 18
Simplifying the equation above
(5x + 4x)/20 = 18
Cross multiply
5x + 4x = 18(20)
9x = 360
x = 360/9
x = 40
The number = 40
Learn more on word problem here: https://brainly.com/question/21405634
Applying the recursive rule aₙ; a ₙ ₋ ₁ + 3, write the first seven (7) terms of the sequence when a = 10.
Answer:
First seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
Step-by-step explanation:
Given recursive rule aₙ = a ₙ ₋ ₁ + 3
a1 = 10
[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]
Thus, first seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
10
9
8
7
6
5
B
C
4
3
B
с
D.
D'
3
4
5
6.
7
8
9 10
A
D
-2 1-1
X
1-2
What is the length of BB'?
EP
70112 3141516171819
Answer:
22 length is the answer
Uh, one second I got to put the picture ;-;
Answer:
92°
Step-by-step explanation:
oblems
Congruency Pront
Name: Jarol
Comments
Statements
AC bisects BCD
Reasons
Given
Given
DCIAD
Given
BC AB
Given:
AC bisects BCD
DC I AD
BC AB
Right angles are =
Prove:
AC AC
BC DC
Bc z oo
Answer:
[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent
Step-by-step explanation:
Statements, Reason
[tex]\overline{AC}[/tex] bisects ∠BCD, Given
[tex]\overline{DC} \perp \overline{AD}[/tex] Given
∠CDA ≅ ∠CBA Right angles are ≅
[tex]\overline{AC} \cong \overline{AC}[/tex] Reflexive property
ΔACD ≅ ΔACB Hypotenuse Leg (HL) congrurency
[tex]\overline{BC} \cong \overline{DC}[/tex] CPCTC
Where:
CPCTC = Corresponding parts of Congruent Triangles are Congruent
⊥ = Perpendicular to
≅ = Congruent
∠ = Angle
Δ = Triangle.
A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π. 184π sq. in. 76π sq. in. 168π sq. in. 88π sq. in.
Answer:
(B) [tex]76\pi$ sq. in.[/tex]
Step-by-step explanation:
Since the base of the cone and one circular face of the cylinder is not visible,
The surface area of the rocket=Base Area of the Cylinder+Lateral area of the Cylinder+Lateral Area of the Cone+
[tex]R$adius =4 Inches\\Height of the cylinder =5 Inches\\Therefore:\text{Lateral area of a Cylinder+Base Area of the Cylinder}=2\pi rh+\pi r^2\\=(2\times \pi \times 4 \times 5)+(\pi \times 4^2)\\=40\pi+16\pi \\=56\pi$ sq. in.[/tex]
Lateral Area of a Cone [tex]=\pi rl[/tex]
Base radius, r= 8/2 =4 InchesPerpendicular Height of the Cone = 3 InchesUsing Pythagoras theorem:
[tex]Hypotenuse =\sqrt{opposite^2+adjacent^2} \\=\sqrt{3^2+4^2} \\=\sqrt{25}\\ =5 in.[/tex]
Slant Height of the Cone, l (Hypotenuse) = 5 InchesTherefore: Lateral Area of a Cone [tex]=\pi \times 4\times 5 =20\pi$ sq. in.[/tex]
Therefore, Surface area of the rocket
[tex]=56\pi+20\pi\\=76\pi$ sq. in.[/tex]
Answer:
The answer is 76π sq. in.
Step-by-step explanation:
Took the quiz and that was correct.
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Us
to the nearest whole number.
14 in.
14 in.
1 5 in.
17
Answer:
Can you show a picture?
Step-by-step explanation:
Thanks.
Frannie bought a pair of sandals. What is a reasonable measurement for the width of a pair of sandals? A 5 cm B 5 mm C 5 in. D 5 yd
Answer:
A 5cm
Step-by-step explanation:
The others answers would be either too big or too small to fit
Select the polynomial that is a perfect square trinomial. A. 49x^2 - 8x + 16 B. 4a^2 - 10a + 25 C. 25b^2 - 5b + 10 D. 16x^2 - 8x + 1
Answer:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
Step-by-step explanation:
Take a look at B: 4a^2 - 10 a + 25. The square roots of 4a^2 and 25 are 2a and 5 respectively. Does (2a - 5)^2 come out to 4a^2 - 10a + 25? No.
Take a look at C: 25b^2 - 5b + 10 We know this is not a perfect square trinomial because 10 is not a square.
D: 16x^2 - 8x + 1: both 16x^2 and 1 are perfect squares, so we have:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
Harun and Anis have m boys and n girls. How many children do they have?
N
(7x5 – 2x3 + 6) – (3x” – 4x3 – 2)
+
Answer:
67
Step-by-step explanation:
67 bcz
Answer:
67
Step-by-step explanation:
Select the correct answer. Which number is located to the right of on the horizontal number line? A. -1 1/3 B. -2 1/3 C. -2 2/3 D. -3 1/3
Answer:
A. -1 1/3
Step-by-step explanation:
I am assuming you want to find the number that is farthest to the right of all 4 possible choices. In that case, the bigger the negative number, the farther left it is on the number line. The smaller the negative number, the farther right it is on the number line.
HELP ASAP PLEASE!!! Solve: 3x – 2y when x = 2 and y = 10. A. 5 B. -14 C. -12 D. NONE OF THESE E. 16
Answer:
3x - 2y
= 3(2) - 2(10)
= 6 - 20
= -14
the answer is C
Answer:
[tex]x=2[/tex]
[tex]y=10[/tex]
So the multiply 3 × 2
[tex]3 * 2=6[/tex]
Then multiply 2 × 10
[tex]2 * 10=20[/tex]
Then subtract 6 - 20.
This shows that the answer will be negative.
[tex]6-20= -14[/tex]
So the answer is [tex]-14[/tex]
Hope this helps
(＾▽＾)
What value represents the horizontal translation from the graph of the parent function f(x)2 to the graph of the function g(x)=
(x-4)²+2?
-4
-2.
2
04
Answer:
4
Step-by-step explanation:
I graphed the functions on the graph below so you can see that the horizontal translation is represented by 4.
What is the interquartile range (IQR) of the data set? 3,4,8,11,14,15,16
Answer:
11
Step-by-step explanation:
all you gotta do is subtract q3 from q1, in this case it's 15-4=11
how do you write the number five million four thousand three hundred in standard form
Answer:
5,004,300
Step-by-step explanation: Its just how you do it
2 cups and 3 plates costs £18. 5 cups and 1 plate costs £19. Find the cost of a cup. Find the cost of a plate
Answer:
A plate costs £4
Step-by-step explanation:
Let us represent the cups by c and the plates by variable p
Thus mathematically from the statements;
2c + 3p = 18. ••••••• (i)
secondly
5c + p = 19 •••••••••(ii)
so we want to find the value of p
Let’s multiply equation i by 5 and ii by 2
we have;
10c + 15p = 90
10c + 2p = 38
Now subtract equation ii from i
13p = 52
p = 52/13
p = 4
In ΔKLM, the measure of ∠M=90°, KL = 7 feet, and LM = 4 feet. Find the measure of ∠K to the nearest tenth of a degree.
Answer:
<K = 34.8°
Step-by-step explanation:
sin K = 4/7
K = [tex]sin^{-1}[/tex] (4/7)
<K = 34.8°
Jane sold a radio costing sh.3800 at a profit of 20%.She earned a commission of 22 1/2% on the profit.Find the amount he earned
Answer:
20%=3800 => all of it is 19000
i didn't undrestand what do you want
sorry:)
Rectangle ABCD has vertices A(–6, –2), B(–3, –2), C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1), C’(–7, –3), and D’(–10, –3). Which rule was used to translate the image? T–4, 3(x, y) T–4, 1(x, y) T4, –1(x, y) T4, –3(x, y)'
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
The coordinates of rectangle ABCD are;
A = (-6, -2)
B = (-3, -2)
C = (-3, -6)
D = (-6, -6)
The coordinates of the image are;
A' = (-10, 1)
B' = (-7, 1)
C' = (-7, -3)
D' = (-10, -3)
We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3
For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3
For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3
For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3
Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
What do a kite and a rhombus have in common?
Answer:
Their diagonals intersect at right angles
They are quadrilaterals
Opposite angles are equal
Step-by-step explanation:
Answer:
their shapes
Step-by-step explanation:
they have same corners
Arya spins both spinners. What is the probability that Arya gets blue on both spinners? Give your answer as a fraction.
Answer:
2/16
Step-by-step explanation:
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.
probability=desired chances/total chances
=2/16
The probability that Arya gets blue on both spinners is 2/16.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .
we get 1 + 1 = 2.
The probability that Arya gets blue on both spinners
= desired chances/total chances
=2/16
Learn more about probability here;
https://brainly.com/question/11234923
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chameli has rupees 600 left after spending 75% of her money. how much did she have in the beginning
Answer:
Rs. 1050
Step-by-step explanation:
75/100×600= 7.5×60= 450+600= 1050
Hope this helps
You don’t have to explain this just tell me the tight answer
Answer:
The triangles are similar by the AA similarity postulate
Step-by-step explanation:
The only thing we know is that the three angles are the same
70+30 +80 = 180 so the missing angle in each triangle is 80 in the first and 70 in the second
The triangles are similar by the AA similarity postulate
The Math Club is ordering food to be delivered to their meeting. They have a coupon for $10 off their order, and each member contributes an additional $5 for the food. The expression 5n + 10 represents the total amount they can spend on their order. Why would it not make sense to substitute 12.125 for n in this expression? A n represents the number of members, so it must be a whole number. B 5n represents the number of members, so n must be a whole number. C n represents an amount of money, so it cannot have more than two decimal places. D 5n represents an amount of money, so n cannot have more than two decimal places.
Answer:
A. n represents the number of members, so it must be a whole number.
Step-by-step explanation:
Since 12.125 is a decimal, it would not make sense to substitute 12.125 for n in the expression. You cannot have 1/8 of a person. Since each member is contributing an additional $5, the expression will show n as the variable representing the number of members in the Math Club. Each member is giving 5, so 5n + 10, the 10 being the coupon they have for $10 off. This expression shows how much money the entire group has.
Answer:
A
Step-by-step explanation:
Answer to this question ?
Answer:
(x - 10)(x - 3)
Step-by-step explanation:
You have to think of numbers that multiply up to 30 and add up to 13. So you eliminate the numbers down to 10 and 3, because you can add up to 13 and multiply to 30. Now you have to find how it adds up to negative 13 and multiply it to postive 30. 2 negatives make a positive when multiplying, and 2 negatives added together make another negative, so your roots are 10 and 3. Put that into factored form and you have (x - 10)(x - 3).
Alternatively you can either graph to find its zeros or guess-and-check.
Mary has walked 8 km, which is 55% of the total distance she will walk. How much farther does Mary need to walk?
Answer:
6 6/11 km
Step-by-step explanation:
8 = 0.55x
160/11=x
160/11-8=6 6/11 km
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius? use 3.14
Answer:
157Step-by-step explanation:
Let us first calculate the circumference of the circular of the circular garden
[tex]C= 2\pi r[/tex]
Given
r= 100
[tex]C= 2*3.142*100\\C= 628.4 ft[/tex]
Since the desired space between flowers is 4ft
Then the flowers needed for the garden is [tex]\frac{628.4}{4} = 157.1[/tex]
Approximately the number of flowers is 157
Answer:157
Step-by-step explanation:
This is my last one please help you need to explain it just tell me the right answer thank you
Answer:
i might be 25
Step-by-step explanation: