Answer:
The percentage increase in Spencer’s height is 125 %
Solution:
[tex]\begin{array}{l}{\text { Percentage increase }=\frac{\text { change in height }}{\text { initial height }} \times 100 \%} \\\\ {\text { percentage increase }=\frac{\text { increased height - initial height }}{\text { initial height }} \times 100 \%}\end{array}[/tex]
Initial height of spencer = 28 inches
Increased height of spencer = 5 feet 3 inches
= 5 feet + 3 inches
(5 feet = 5 ×12=60 inches)
= 60 + 3
[tex]\begin{array}{l}{\text { Increased height }=63 \text { inches }} \\ {\text { Percentage increase }=\frac{63-28}{28} \times 100 \%} \\\\ {=\frac{35}{28} \times 100 \%} \\\\ {=1.25 \times 100 \%} \\ {\text { percentage increase in height of spencer }=125 \%}\end{array}[/tex]
If f(x) = 2x+4, then what is the value
of f(4) + f(6)?
Answer:
16 = f(6)
12 = f(4)
Step-by-step explanation:
[tex]2(6) + 4 = 12 + 4 = 16 \\ \\ 2(4) + 4 = 8 + 4 = 12[/tex]
I am joyous to assist you anytime.
A team of geologists are observing a sinkhole in a remote area. When they arrive at the scene, the hole was 2 feet deep. Three days later, the hole sank 8 inches further. How deep was the sink hole three days later? Answer the question first in inches, and then in feet.
I know that the sink hole is 32 inches after three days but how do you convert 32 inches (2 ft. 8 inches) to feet as a fraction?
Answer:
32 inches or [tex]2\dfrac{2}{3}[/tex] feet
Step-by-step explanation:
1 foot = 12 inches
2 feet = 24 inches
Initially, the hole was 2 feet deep, after 3 days, the hole sank 8 inches further, so after 3 days, the hole was 2 feet 8 inches deep.
2 feet 8 inches = 24 inches + 8 inches = 32 inches
Now,
1 inch [tex]=\dfrac{1}{12}[/tex] foot
Then
32 inches [tex]=\dfrac{32}{12}=\dfrac{8}{3}=2\dfrac{2}{3}[/tex] inches
3x + 8 + 4x = -8(x - 6) - 8(13x + 5)
3x+8+4x=-8(x-6)-8(13x+5)
Get rid of parenthesis.
3x+8+4x=-8(x-6)-8(13x+5)
3x+8+4x=-8x+48-104x-40
Comine like terms.
7x+8=-112x+8
Add 112x on both sides and subtract 8 from both sides.
119x=0.
Now since you cannot solve, or will get a 0, the answer is x=0.
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. Angle ELY and Angle AYS
B. Angle AYS and angle LYS
C. Angle SYL and angle EYA
D. Angle AYE and angle HYL
Answer:
Answer B and C are correct.
Step-by-step explanation:
Vertical angles opposite each other when two lines cross.
"Vertical" refers to the vertex (where they cross), NOT up/down. They are equal.
Answer:
[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]
[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]
Step-by-step explanation:
Vertical angles can be defined as the pair of angle which are opposite when two lines crosses, as the image attached shows.
Now, [tex]\angle EYL[/tex] and [tex]\angle AYS[/tex] are vertical angles, because they are opposite when lines ES and AL cross at point Y.
Another pair of vertical angles are [tex]\angle SYL[/tex] and [tex]\angle EYA[/tex], because they are opposite when lines ES and AL cross at point Y.
Therefore, all pair of angles which are vertical angles are
[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]
[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]
The weight of the books carried in a backpack depends on the number of books in the backpack. Susan’s books weigh from 1 pound to 3.5 pounds each and she carried at most 4 books. Find a reasonable domain and range for the situation. (please, a little help here?)
Final answer:
The domain for Susan's backpack situation is {0, 1, 2, 3, 4}, representing the number of books she can carry, while the range is from 0 to 14 pounds, representing the total weight of the books she might carry.
Explanation:
To find a reasonable domain and range for Susan's backpack situation, we need to consider the lightest and heaviest books she might carry. Since Susan can carry at most 4 books and each book weighs between 1 pound to 3.5 pounds, we can define the possible weights of the books.
For the domain, we consider the number of books Susan could possibly carry. The domain would therefore be: {0, 1, 2, 3, 4}. She could carry no books or up to 4 books.
For the range, we consider the total weight of the backpack based on carrying the lightest to the heaviest books. The minimum weight would be 0 pounds (if she carries no books) and the maximum weight would be 3.5 pounds imes 4 books = 14 pounds. So the range of weights would be from 0 to 14 pounds. However, we must remember that the weight can also be any reasonable value in between, for instance when carrying books of varying weights.
In conclusion, the domain for the number of books would be {0, 1, 2, 3, 4} and the range for the total weight of the books would be any value between 0 to 14 pounds, inclusive.
What is 7/12 - 2/5 equal too
Answer: 11/60
Step-by-step explanation: 7/12 - 2/5 find the common denominator which is 60 so that would be 35/60 - 24/60
Answer:
0.183
Step-by-step explanation:
simply go to desmos.com use their scientific calculator for problems like these
which statement could be used in step 2 when proving x = 30
Answer: ORP and ORN are a linear pair
Answer:
Option A.
Step-by-step explanation:
Statements Reason
1). m∠ORP = 80°, m∠ORN = (3x + 10)° Given
2). m∠ORP + m∠ORN = 180° ∠ORP & ∠ORN are linear pair
80 + (3x + 10) = 180
3x + 90 = 180
3x = 180 - 90
3x = 90
x = [tex]\frac{90}{3}[/tex]
= 30°
Hence x = 30° is proved.
Option A. is the answer.
find the value of 18 - p when p = 8
Answer:
10
Step-by-step explanation:
p=8
18-p
18-8=10
replace 10 for p
A driver swims 5.875 feet up to the surface of the water.Which number represents the driver position in relation to the surface before swimming to the top. A.-5.9 B. -5 3/4 C.-58 D.-5 7/8 feet
Answer:
-5 7/8 ft (Answer D)
Step-by-step explanation:
Note that 5.875 ft is the same as 5 7/8 ft.
The diver is initially 5 7/8 ft beneath the water surface, so we give that 5 7/8 ft the negative sign:
-5 7/8 ft represents the diver's position in relation to the surface.
The driver's position in relation to the surface before swimming to the top is represented by D. -5 7/8 feet. This is because in this scenario, a negative number signifies underwater depth.
Explanation:In mathematics, the term 'relation' is often used in the context of functions and refers to the way two sets of numbers are interconnected. In your scenario, a negative number is used to signify the driver's position underwater, while a positive number indicates their position above water. Therefore, if the diver swims 5.875 feet up to the surface, this would mean their original position was -5.875 feet. When expressed in decimal form, this would be -5.9, and when expressed in fractions, it would be -5 7/8 feet. Hence, the correct answer would be D. -5 7/8 feet.
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absolute value of -1 minus 5
Answer:
6
Step-by-step explanation: The absolute value is defined as the distance of the value from 0, and thus, is the original number, but always in positive form. So,
-1 - 5 = -6
But since the absolute value is always positive, it goes from -6 to 6, or positive 6.
Which summation formula represents the series below?
13 + 9 + 5 + 1
I will give 20 points
Answer:
Step-by-step explanation:
The summation formula ( arithmetic sequence when the first terme is : A1 = 13
and the coomo diff is d= -4
Sn = n/2(A1 +An)
An = A1+(n-1)d
An = 13 +(n-1)(-4)
An = -4n +17
Sn = n/2(13+17-4n) = n/2(30-4n)
Sn = -2n² +15n
in this exercice : n =4 S4 = -2(4)² +15(4) = -32+60 = 28
verify : 13 + 9 + 5 + 1 =28 ......right
why is four squared called four squared
Answer:
Step-by-step explanation:
Because a square has equal lengths on a side so finding the area of the square would just be the number on one side multiplied by itself so they decided to call it four squared.
The term 'four squared' refers to the mathematical expression 42, which represents the number four multiplied by itself resulting in 16. It also reflects the area of a square with side lengths of four units, illustrating the foundational concept of squaring numbers in geometry and algebra.
The term 'four squared' refers to the mathematical expression 42, which equals 16. This expression is the result of multiplying the number four by itself. In mathematics, squaring a number represents the area of a square with sides of that specific length. For example, a square with sides of 4 units has an area of 16 square units because the length of one side (4) is multiplied by the width, which is also 4 (since all sides of a square are equal). Hence, four squared (4 x 4) equals 16.
Another representation of this concept comes from geometry and the visualization of physical space. A square with a side length of 2 units, for instance, has an area of 22 or 4 square units because it has four equal divisions, each 1 unit by 1 unit. So when we talk about 'four squared', we're discussing an area that's four times larger than the original 2 x 2 square.
The concept of numbers being squared is foundational to algebra and geometry. The phrase 'four squared' is an embedded term in mathematics that signifies the squaring operation, which is critical for finding areas of squares and also is applied in various mathematical laws and properties, such as the Pythagorean theorem.
Factor. 64x^9−125y^6
I need help !
Answer:
(4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)
Step-by-step explanation:
Use a^3 - b^3 formula which is (a-b) (a^2 + ab + b^2)
Here a is 4x^3 and b is 5y^2.
You get (4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)
Let me know if this helps!
9+7 x 5 solution please
Answer:
44
Step-by-step explanation:
Answer:
the answer is 44
Step-by-step explanation:
which method for comparing fractions were you unaware of before reading? use it to compare 2/3 and 3/4
Good morning
______
Answer:
2/3 < 3/4
___________________
Step-by-step explanation:
2/3 = (2*4)/(3*4)=8/12
3/4 = (3*3)/(4*3)=9/12
Since 9/12>8/12 then 3/4>2/3
:)
The height of a door has a dimension given in feet and inches. Which unit of measure is more accurate?
The unit of measure that is more accurate for measuring the height of a door in feet and inches is inches.
Explanation:The unit of measure that is more accurate for measuring the height of a door in feet and inches would be inches. This is because inches provide a smaller unit of measurement, allowing for more precise measurements. To convert the height of a door from feet and inches to inches, you can multiply the number of feet by 12 and add the number of inches. For example, if a door is 6 feet 2 inches tall, you would multiply 6 by 12 to get 72 inches, and then add 2 inches to get a total height of 74 inches.
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only number 24 please
Answer:8 ft.
Step-by-step explanation:
Given: right Δ
it's 8 because you know the triangle is a right triangle which means that you can use the Pythagorean Theorem. which would be
x²= 10²- 6²
x²= 100-36
x²=64
x=8
or you can use the Egyptian triangle which is a right triangle that's sides are equal to 3,4,5. This triangle is just double the Egyptian triangle which means everything is times 2. So knowing that and that two sides of this triangle is double two sides of the other triangle, you'll find that the third side is 8, because:
6÷3=2
10÷5=2
so now proving its double you can multiply by four by two since the answer of the previous problems is two
4×2=8
The base of the wall is 8 feet from the bottom of the pole.
HELP ASAP PLZ THNZS!!! ( There r 2 questions)
1.Solve for x.
x = 1.5
x = 2.5
x = 5
x = 12.5
2.Solve for x
Group of answer choices
6
0
-6
-3
Answer:
Step-by-step explanation:
1. Answer below
[tex]2x = \sqrt[3]{125}[/tex]
[tex]2x = 5[/tex]
[tex]x = \frac{5}{2}[/tex]
[tex]x = 2.5[/tex]
2. Answer below
[tex]x + 3^{2} = \sqrt[3]{27}[/tex]
[tex]x + 9 = 3[/tex]
[tex]x = -6[/tex]
Ryan had a balance of −$767.25 in his bank account, and Tim had a balance of −$556.75 in his bank account. Which statement explains why Ryan owes the bank more than Tim? −767.25 < −556.75 −767.25 > −556.75 |−767.25| < |−556.75| |−767.25| > |−556.75|
Answer: -767.25<-556.75
Explanation: Ryan has less money than tim therefore making him owe the bank more
Answer:
Answer is B. Hope this helps
Step-by-step explanation:
Perform the indicated operation.
15 - 12
3
-3
-27
27
Final answer:
The result of the operation 15 - 12 is 3. The calculation involves simple subtraction where 12 is subtracted from 15. So the correct answer is A) 3.
Explanation:
To perform the indicated operation of 15 - 12, we simply subtract 12 from 15. This is a straightforward arithmetic operation.
Step 1: Identify the numbers involved in the operation. Here, the numbers are 15 and 12.
Step 2: Perform the subtraction. Subtract the smaller number (12) from the larger number (15). 15 - 12 equals 3.
Step 3: Select the correct answer from the options provided. The correct answer is A) 3.
Which fraction is equivalent to 1/8
Answer: 2/16
Step-by-step explanation:
If we multiply 1/8 time 2/2(which is equal to 1) we get 2/16
Answer:
5/40
Step-by-step explanation:
a=bx+cx+d for x. HELP ME
[tex]\bf A=bx+cx+d\implies A-d=bx+cx\implies A-d=\stackrel{\textit{common factor}}{x(b+c)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{A-d}{b+c}=x~\hfill[/tex]
Evaluate 3a2 + 4b2 for a = 2 and b = 3.
Answer:
48
Step-by-step explanation:
Substitute the given values for a and b into the expression
3(2)² + 4(3)²
= 3 × 4 + 4 × 9
= 12 + 36
= 48
what is the slope of a line that contains the points (-1, -1) and (3, 15)
Answer:
4
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
1 + 15\1 + 3 = 4
16 4
I am joyous to assist you anytime.
Two rectangles are similar. The length and width of the first rectangle are 12
and 5, respectively. The length and width of the second rectangle are 14.4 and
6, respectively. The scale factor used to get from the first rectangle to the
second one is
Answer:
scale factor = 1.2
Step-by-step explanation:
To determine the scale factor, calculate the ratio of the length of the second rectangle to the length of the first rectangle. The corresponding ratio of widths should also equal the same ratio.
scale factor = [tex]\frac{14.4}{12}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2
Final answer:
The scale factor used to get from the first rectangle to the second one is 1.2.
Explanation:
The scale factor used to get from the first rectangle to the second one can be found by comparing the dimensions of the two rectangles. The length of the first rectangle is 12 and the length of the second rectangle is 14.4. Dividing the length of the second rectangle by the length of the first rectangle gives us:
Scale factor = length of second rectangle / length of first rectangle = 14.4 / 12 = 1.2
So, the scale factor used to get from the first rectangle to the second one is 1.2.
The two rectangles in the figure are similar. What is the value of x?
The value of x for the given rectangles is 15.
What are similar figures?When two figures in mathematics have the same shape but different sizes, those two figures are referred to as comparable figures. For instance, similar objects are seen in different-sized images of a person, such as a passport size, stamp size, etc., but they are not consistent. Two comparable shapes in geometry are those whose dimensions are equivalent or have a shared ratio but the width or length of their sides differ. Examples include similar triangles, similar rectangles, and similar squares.
Given two rectangles are similar,
so the ratio of their lengths is equal, according to similar figure property,
given dimensions of rectangle 1 is 14 and 10
dimensions of rectangle 2 ia 21 and x
so 14/21 = 10/x
x = 21 x 10/14
x = 15
Hence value of x is 15.
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Which geometric series diverges?
Answer:
is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case
Step-by-step explanation:
Answer:
If |r| >= 1 then the above geometric series diverges. If the above series converges, then the remainder RN = S - SN (where S is the exact sum of the infinite series and SN is the sum of the first N terms of the series) is bounded by 0< = RN <= (N.. ) f(x) dx.
Step-by-step explanation:
9+3.5x=11-0.5
a)0.5 b)1 c)2 D) 4
Answer:
None of the above (x=3/7)
Step-by-step explanation:
9+3.5x=11-0.5
9+3.5x=10.5
+3.5x=10.5-9
3.5x=1.5
x=1.5/3.5
x= 15/35=3/7
Answer:
HEY THERE THE ANSWER IS C
Step-by-step explanation:
I believe this is the equation you meant to put, 9+3.5x=11-0.5x. In that case the answer iis C which is 2 :) hope this helps and someone doesn't delete my answer for the 3rd time
The cost of c (x) for a taxi ride is given by c(x)=2x+2.00, where x is the number of minutes.
You have a 10-ml vial of aminophylline labeled 25 mg per ml. How many ml must be injected to administer a dose of 125mg
Answer:
5
Step-by-step explanation:
You do 125/25 to find the number of ml of aminophylline. Answer: 5
To administer a dose of 125 mg of aminophylline, one must inject 5 ml.
The student is asking how many milliliters (ml) must be injected to administer a dose of 125 mg of aminophylline when the vial is labeled 25 mg per ml. To calculate this, we use the formula:
Dose (mg) = Volume (ml) times Concentration (mg/ml)
Since we need to administer 125 mg and we know the concentration is 25 mg/ml, we arrange the formula to solve for volume:
Volume (ml) = Dose (mg) / Concentration (mg/ml)
Volume (ml) = 125 mg / 25 mg/ml = 5 ml