The age of Jennifer is 16.
What is Jennifer's age?Let Jennifer's age be represented with x
Jonathan's age would be 2x
The sum of their ages would be 48
2x + x = 48
3x = 48
x = 48 /3 = 16
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Answer: Jennifer is 16
Step-by-step explanation: 2x+y=48, divide by 3 then multiply by 2
(-17,-5), (15,-13)
Slope of the line through each pair of points
Find the angle of CD. Round to the nearest tenth. 12.7 cm 45.5° 9/06 cm mCD= [?]°
Using the information in the diagram, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°
Calculating the angle subtended by an arcFrom the question, we are to determine the measure of [tex]\overset{\LARGE\frown}{CD}[/tex]
Consider the right triangle
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is twice the measure of the unknown angle
Let the unknown angle in the right triangle be x
∴ The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2x
Then,
x + 90° + 45.5° = 180° (Sum of angles in a triangle)
x = 180° - 90° - 45.5°
x = 44.5°
Thus,
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2×44.5°
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 89°
Hence, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°
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It’s just fill in the blank please help LOL
Answer and explanation:
vertex: (3,25) The vertex is the minimum/maximum of a parabola where the direction it's moving in changes. For this question, that point is (3,25).
zeroes: x=6 and x=0 The zeroes of an equation are the points that y=0. Since it doesn't look like they want the full coordinate points, I would list x=6 for the point (6,0) and x=0 for the point (0,0).
y-intercept: x=0 The y-intercept is the point at which the graph crosses the y-axis, which here happens at (0,0), or x=0.
Highest point: 25 The highest point is the maximum of the graph, meaning it's the highest y-value that the graph has. Here, this is 25 (it's also the y-value for the vertex).
Time: 3 seconds The time it takes for Simon to reach the highest point is just the x-value of the vertex, so 3.
Total air time: 6 seconds This value is the total time that the y-value of the graph is above 0. To find this, you must subtract the x-values of the zeroes from each other. Since 6-0=0, Simon is in the air for 6 total seconds.
Hope this helps! :)
A group of students from your school is part of the audience for a TV game show. The total number of people in the audience is . What is the theoretical probability of students from your school being selected as contestants out of possible contestant spots?
A group of students from your school is part of the audience for a TV game show, the theoretical probability of students is mathematically given as
P=2.7%
What is the theoretical probability of students from your school being selected as contestants out of possible contestant spots?Generally, the equation for Probability is mathematically given as
[tex]P=\frac{Desired outcomes}{Total outcomes}[/tex]
Where Desired outcomes
D=40C5 *110C3
D=1420112865560
And Total outcomes
T=150C8 *
T=5.2572*10^10{12}
Hence, Probability
[tex]P=1420112865560/ 5.2572*10^10{12}[/tex]
P=0.0270
P=2.7%
In conclusion, the theoretical probability
P=2.7%
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Which statement describes the vertical asymptotes of the graph of f(x)=x^2-64/8x-64
O The graph has no vertical asymptote.
O The graph has a vertical asymptote at x = 8 only.
O The graph has a vertical asymptote at x = -8 only.
O The graph has vertical asymptotes at both x = 8 and x = -8.
The graph has no vertical asymptote
===========================================================
Explanation:
Let's simplify the function by factoring each piece.
[tex]f(x) = \frac{x^2-64}{8x-64}\\\\f(x) = \frac{(x-8)(x+8)}{8x-64}\\\\f(x) = \frac{(x-8)(x+8)}{8(x-8)}\\\\f(x) = \frac{x+8}{8}\\\\[/tex]
In the 2nd step, I used the difference of squares rule to factor the numerator. In the 4th step, the (x-8) terms cancel.
The simplified version doesn't have any variables in the denominator. This indicates the denominator is always 8, and never 0. So it's impossible to divide by zero in this simplified form. Consequently it means this graph has no vertical asymptotes.
However, there is a hole at x = 8 because this input causes a division by zero error in the original non-simplified function. Why? Because the calculator will use PEMDAS to evaluate the expression after replacing every copy of x with 8. It likely won't attempt to simplify like shown in the steps above. This is what causes the hole at x = 8.
The value x = -8 is perfectly fine in either the original function or the simplified one. It doesn't cause the denominator to be zero.
5x-4y=10
slope intercept form
Answer:
5x-4y=10
solution
first find x intercept is the graph cross x-axis.to find the x intercept,we set y¹=0 and the Solve x.
5x-4y=10
5x-4(0)=0
x¹ =2 y¹=0
y intercept
5x-4y=10
5(0)-4y=10
y²=2.5 x²=0
which of the following are accepted without proof in a logical system?check all that apply
a. postulates
b. theorems
c. conjectures
d. axioms
B postulates and C axioms are accepted without proof in a logical system.
What is Theorem?A theorem is a statement that can be proven true using standard mathematical operations and reasoning. A theorem, in general, is an embodiment of a general principle that is part of a larger theory. A proof is the process of demonstrating that a theorem is correct.
A conjecture is a proposition or conclusion based on insufficient knowledge for which no demanding proof exists.A statement that is said to be universal truth is referred to as an axiom.A postulate is a proposition that is said to be true in the absence of logical proof.A theorem is a statement with a logical proof that relies on previously confirmed statements.Learn more about theorem here:
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Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25
Answer:
-5
Step-by-step explanation:
x² - 4x - 45 = 0
(x - 9)(x + 5) = 0
x = 9 or -5
x² - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or -5
-5 is a common factor between both of them
A cube has side length 3 inches. A sphere has a radius of
3 inches. (Lesson 5-16)
a. Before doing any calculations, predict which solid has greater surface
area to volume ratio.
b. Calculate the surface area, volume, and surface area to volume ratio for
each solid.
I predict that the solid with the greater surface area to volume ratio would be the cube.
The volume of the cube is 27in³
The surface area of the cube is
The ratio of surface area to volume for the cube is 2.
The volume of the sphere is 113.14 in³
The surface area of the sphere is 113.14 in²
The ratio of surface area to volume is 1.
What is the surface area and volume of each solid?The volume of a cube = side length³
3³ = 27 in³
The surface area of a cube = 6a²
a = side length
6 x (3²) = 54 inches²
Ratio of surface area to volume = 54 / 27 = 2
The volume of the sphere= 4/3πr³
4/3 x 22/7 x 3³ = 113.14 in³
The surface area of the sphere = 4πr²
4 x 22/7 x 3² = 113.14 in²
Ratio of surface area to volume = 113.14 / 113.14 = 1
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Need the answer to the question
Answer:
The graph is wider and is reflected across the x axis.
Step-by-step explanation:
See attached image.
rearrange the equation so b is the independent variable
a - 7 = 3(b+2)
a = ?
help me, please ist question 1
Answer:
432
Step-by-step explanation:
To find the volume of a rectangular prism you multiply, L × W × H
L = 6 W = 8 H =9 you plug that in 6 × 8 × 9= 432
so the volume is 432in²
What is limit of startroot x squared minus 8 endroot as x approaches negative 3? –5 1 startroot 2 endroot startroot negative 14 endroot
The limit of [tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex] as x approaches negative 3 is 1
Limit of a functionThe limit of the function given in question can also be written as:
[tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex]
To determine the required limit, we will simply substitute the value of x into the function as shown:
[tex]\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{ (-3)^2-8}\\\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{9-8}=1\\[/tex]
Hence the limit of [tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex] as x approaches negative 3 is 1
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Answer: the answer is b. 1
Step-by-step explanation: just got it right on edge
A metronome is a device that ticks at adjustable intervals to help keep time when playing music. The metronome on Ryan’s piano has the basic shape below.
A square pyramid. The base is 9 centimeters by 9 centimeters. The triangular sides have a base of 9 centimeters and height of 20.5 centimeters. The pyramid has a height of 20 centimeters.
If the metronome was created out of a piece of solid wood, what is the minimum amount of solid wood that was used?
Answer:
[tex]540cm^{3}[/tex]
Step-by-step explanation:
From a hot-air balloon, Ian measures a 30^{\circ}
∘
angle of depression to a landmark that’s 1250 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon’s vertical distance above the ground is 721.7 f
Angle of elevation and depressionIn order to determine the balloon's vertical distance, we will use the SOH CAH TOA identity
Given the following parameters
Angle of depression = 30 degrees
Horizontal distance =1250 feet
Required
vertical distance H
Using the SOH CAH TOA identity
tan 30 = H/1250
H = 1250tan30
H = 721.7 feet
Hence the balloon’s vertical distance above the ground is 721.7 feet
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Answer:
721.7
Step-by-step explanation:
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i really need help will give brainliest
Answer:
You would put 11y-22+7y-6+3x+12+5x and that will give you the answer. Hope this helps!
For each inequality, decide whether the solutions is represented by x < 2.5 or x >2.5
1. -4x + 5 > -5. 2. -25 > -5(x + 2.5)
#1
-4x+5>-5-4x>-5-5-4x>-104x<10x<2.5#2
-25>-5(x+2.5)25<5(x+2.5)x+2.5>5x>2.5Answer:
1. x < 2.5
2. x > 2.5
Step-by-step explanation:
Question 1
Given inequality:
-4x + 5 > -5
Subtract 5 from both sides:
⇒ -4x + 5 - 5 > -5 - 5
⇒ -4x > -10
Divide both sides by -4 (remembering to flip the sign as we are dividing by a negative):
⇒ -4x ÷ -4 > -10 ÷ -4
⇒ x < 2.5
Question 2
Given inequality:
-25 > -5(x + 2.5)
Expand the brackets:
⇒ -25 > -5x - 12.5
Add 12.5 to both sides:
⇒ -25 + 12.5 > -5x - 12.5 + 12.5
⇒ -12.5 > -5x
Divide both sides by -5 (remembering to flip the sign as we are dividing by a negative):
⇒ -12.5 ÷ -5 > -5x ÷ -5
⇒ 2.5 < x
⇒ x > 2.5
write (4 x 100) + (3 x 10) + (6 x 1/10) + (7 x 1/100) in standard form.
Answer:
430.67
Step-by-step explanation:
(4 x 100) + (3 x 10) + (6 x 1/10) + (7 x 1/100)l
(400) + (30) + (6×0.1) + (7×0.01)
400 + 30 + 0.6 + 0.07
430.67
2x – y = 3
ayuda por favor
OA. Graph D
OB. Graph B
OC. Graph A
OD. Graph C
A
C
& I
of
B
D
SUBMIT
Answer:
My sister is doing this, I if remember correctly graph B?
Which of the following is most likely the next step in the series?
A.
Answer:
D.
Step-by-step explanation:
If you look at the pattern, the first shape (square) has four sides. Then, you have 5 sides, and finally, 6 sides.
Thus, a pattern of 4, 5, 6. So, the next shape must have 7 sides, leaving the only possible answer as D.
Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
A line is a distance between two points. The possible equation of the line will be g(x) = 4x - 7
Equation of a lineA line is a distance between two points. The equation of a line in slope-intercept form is expressed as y = mx + b
where:
m is the slopeb is the y-interceptGiven the equation of the line graphed by Chin expressed as f(x) = 4x + 3, the equation similar the line must have the same slope. The possibe equation of the line will be g(x) = 4x - 7
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Answer:
C. y – 7 = 4(x – 1)
Step-by-step explanation:
I did the test and got it correct.
please help, 30 points, will give brainly
Answer:
∠ABC = 39°
Step-by-step explanation:
Since ED bisects ∠CBD :
∠EBD = ∠CBE = 30°
Now, ∠ABD = ∠ABC + ∠CBE + ∠EBD = 99°
Solving :
99° = ∠ABC + 30° + 30°∠ABC = 99° - 60°∠ABC = 39°Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. the spinner is spun two times. the number of possible outcomes is 16. how many sections is the spinner divided into? 2 4 8 16
By counting the total number of outcomes, we conclude that the spinner has 4 sections.
How many sections does the spinner has?Let's say that the spinner has N sections.
If we spin it twice, for the first outcome we have N possible outcomes and for the second spin there are N possible outcomes.
Then for the experiment of spinning the spinner twice, the number of outcomes is:
O = N*N
And we know that the number of possible outcomes for spinning the spinner twice is 16, then we have:
16 = N*N = N^2
Solving for N, we have:
N = √16 = 4
Then we conclude that the spinner has 4 sections.
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Two circles lying one inside the other. The inner circle is shaded purple and the outer circle is shaded yellow. The diameter of the inner circle is labeled 9 feet. The distance between the outer and the inner circle is circle is labeled 2.5 feet.
Answer:
what are you asking for? the area of the inner circle? the area of the outer circle? the area shaded only yellow?
If y=3x+5 and z=x^2+2x-5, what is yz?
Work Shown:
yz = y(x^2+2x-5)
yz = y(x^2) + y(2x) + y(-5)
yz = x^2( y ) + 2x( y ) - 5( y )
yz = x^2( 3x+5 ) + 2x( 3x+5 ) - 5( 3x+5 )
yz = x^2*3x + x^2*5 + 2x*3x + 2x*5 - 5*3x - 5*5
yz = 3x^3 + 5x^2 + 6x^2 + 10x - 15x - 25
yz = 3x^3 + 11x^2 - 5x - 25
What is 5829×3782?
I will give you brainliest for right answer
Answer:
22045278
Step-by-step explanation:
5 8 2 9
3 7 8 2
11 6 5 8
4 6 6 3 2 0
4 0 8 0 3 0 0
1 7 4 8 7 0 0 0
2 2 0 4 5 2 7 8
Answer:
22045278
Step-by-step explanation:
It seems tricky, but if you break it down step by step it will make it a lot easier.
Hope it helped and you can do it!!
Determine whether triangles EFG and PQR are congruent
Plsss help
Answer:
B
Step-by-step explanation:
Because it flipped over the x axis
Spot the coordinates
E(-3,1)P(-3,-1)F(1,1)Q(1,-1)G(4,4)R(4,-4)Yes it's reflection along x axis
.(x,y)=(x,-y)Option B
Which expression has the same value as the one below?
8 + 4 + (negative 9)
12 + (negative 9)
Negative 12 + 9
Negative 4 + (negative 9)
4 + (negative 9)
Answer:
A. 12 + (negative 9)
Step-by-step explanation:
8 + 4 - 9 = 3
12 - 9 = 3
-12 + 9 = -3
-4 - 9 = -13
4 - 9 = -5
this means that 8 + 4 - 9 = 12 - 9
making A the right expression
I want pictures of how you took the answer
The value of x in both case is 17 and 10.
What is complementary and supplementary angle?If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
1. As the given angle is 90 degree i.e., complementary angle.
So,
22+4x=90
4x= 90-22
4x= 68
x= 17
2. As the figure for the linear pair i.e., supplementary angle
So,
110+7x=180
7x=70
x=10
Hence the value of x in both case is 17 and 10.
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