Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time, t, in weeks?
f(t) = 0.5t + 7
f(t) = 0.5t + 11
f(t) = 1.5t + 5
f(t) = 1.5t + 12.5
it is C hope this helps
Compatible numbers are numbers in a problem that are easy to compute ---------------(it is blank. help me find the answer and i will give you 40 points!!!!!!) please find the blank!PLEASE!!!!!!!!!!
Compatible numbers are numbers in a problem that are easy to compute is a correct statement.
How to perform mathematical operations mentally ?To perform mathematical operations like addition, subtraction,division and multiplication break the numbers into parts such that they are near to the multiple of 10 by subtracting or adding such values to those numbers.
According to the given question compatible are easy to compute it is true.
Compatible numbers are easy for addition, subtraction,division and multiplication and these operations can easily done by mentally without pen and paper.
For example - If we have to add 430 and 760.First we will add 400 and 700 that is 1100 and 30 added to 60 is 90 so the answer is 1190.
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What is 19.2×108 minutes in hours? 1.152×1011 h 1.152×107 h 3.200×109 h 3.200×107 h
Answer:
3.200×107 h
Step-by-step explanation:
What is the value of x
24
9
21
14
we know that
[tex](5x+15)\°+(3x-3)\°=180\°[/tex] -----> by consecutive interior angles
so
Solve for x
[tex](5x+15)+(3x-3)=180\\ 8x+12=180\\8x=180-12 \\x=168/8 \\x=21\°[/tex]
therefore
the answer is
[tex]x=21\°[/tex]
The woods behind Adam’s house has a length of 15 m and is 4 m wide. What is the perimeter of the woods(in m)?
The perimeter of the woods behind Adam’s house, which is shaped as a rectangle, is calculated by the formula 2(length + width), substituting the given values we get 38 m.
Explanation:The subject of this question involves calculating the perimeter of a rectangle, in this case, the size of the woods. Perimeter is calculated by adding all the sides of a figure, and for a rectangle, you can calculate it using the formula: 2(length + width).
Given that the length of the woods is 15 m and the width is 4 m, we can substitute these values into the formula like this: 2(15m + 4m) = 2(19m) which gives us a total perimeter of 38 m.
To visualize this, if an average male is about two meters tall, around 19 men laid end to end would cover the total perimeter of the woods.
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Solve x = log9(4)
**Round your answer to the nearest hundredth.
Lin parachutes from a plane at a height of 22,000 ft above sea level. Several minutes later she notes from an instrument on her wrist that she had dropped 10,000 ft. How far above sea level is she now?
–12,000 ft
6000 ft
10,000 ft
12,000 ft
Lin is 12000 ft far above sea level.
What is subtraction?The process of subtracting one number from another is known as subtraction.
Given that, the initial height of Lin is 22000 ft.
Now, the height of Lin is dropped by 10000, therefore, the new height is:
22000 - 10000
= 12000
Hence, Lin is 12000 ft far above sea level.
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A circle has its center at (-2, 5) and a radius of 4 units. What is the equation of the circle? (1 point)
(x + 2)2 + (y - 5)2 = 16
(x + 2)2 + (y + 5)2 = 16
(x + 2)2 + (y - 5)2 = 4
(x - 2)2 + (y + 5)2 = 4
Answer:
equation of circle (x +2)² + (x + 5)² = 16.
Step-by-step explanation:
Given : A circle has its center at (-2, 5) and a radius of 4 units.
To find : What is the equation of the circle.
Solution : We have given center at (-2, 5) and radius = 4 units .
Standard form of circle : (x -h)² + (x + k)² = r²
Where, ( h, k) is center , r = radius .
Plugging the values of h , k and r in standard equation
(x -(-2))² + (x + 5)² = (4)²
(x +2)² + (x + 5)² = 16.
Therefore, equation of circle (x +2)² + (x + 5)² = 16.
How to add 3.4 plus 40
Brianna bought a new car for $15000. Each year the value of the car deprecaites by 30% of its value of the previous year. In how many years will the car be worth only $500?
The measure of an obtuse angle is represented by the expression 2x + 5. What is a possible value for x?
90 < obtuse < 180
answer choices
87.6
42.3
75.4
35.2
The difference of the squares of twenty and thirteen
What is the mode of this data set? {8, 11, 20, 10, 2, 17, 15, 5, 16, 15, 25, 6} 12.5 13 15 25 nextreset?
$48 decreased by 25%
Two angles form a linear pair. the measure of one angle is 26∘26∘ greater than the measure of the other angle. find the measure of each angle.
Final answer:
To find the measures of two angles forming a linear pair, where one angle is 26° greater than the other, set up an equation with the sum equal to 180°. Solving the equation reveals that the angles measure 77° and 103°.
Explanation:
When two angles form a linear pair, they are adjacent (share a common side) and supplementary, meaning their measures add up to 180°. If one angle is 26° greater than the other, we can set up the following equations to represent the relationship between the two angles:
Then x + 26° is the measure of the larger angle.
Since they form a linear pair, x + (x + 26°) = 180°.
Combining like terms gives us 2x + 26° = 180°. To find the value of x, subtract 26° from both sides, yielding 2x = 154°. Divide by 2 to get x = 77°. Therefore, the smaller angle measures 77°, and the larger angle measures 77° + 26° = 103°.
Summarily, the measures of the two angles forming a linear pair are 77° and 103° respectively.
A sweater was originally $55. It is now marked down to 65% of its original price. How much is the sweater now?
Triangle ABC is an isoceles right triangle inscribed in a circle. the center of the circle is point D and the diameter of the circle is AC. Which of the following would NOT be true for the right triangle and circle described above?
The measure of arc AC is equal to the measure of arc AB
AD is congruent to DC and to BD
The measure of arc AB is equal to the measure of arc BC
the measure of angle B is 90 degrees
What is the degree of the polynomial c^4+7c^2
How many centigrams are there in 24 grams?
A. Restate the question: 24 grams=____centigrams
B. Use the place value chart to determine the multiplication factor,and solve.
Which property is illustrated by the following equation?
- 8 ( - 5 + 3 ) = - 8 ( - 5 ) + ( - 8 )(3)
A sporting goods store pays $120 for a rubber raft. The percent of markup is 45%. Find the raft’s selling price.
Given: ∠KJL and ∠KML intercept arc KL. Prove: m∠KJL = m∠KML
The Prove of m∠KJL = m∠KML is shown below.
What is Arc?An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a type of curve.
We have,
KJL and ∠KML intercept arc KL.
Now, Angle made by arc at center is double the angle made on any point on the circle other than arc.
So, m <KJL = 1/2 < ( KL)
m <KML = 1/2 (KL)
By comparing the above statement
m <KML = m <KJL
Hence proved.
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Aaron deposits $8,000 into an account that earns 3% interest, compounded Annually. How much money will he have after 4 years
PLEASE HELP 60 POINTS FOR THE RIGHT ANSWER SHOW WORK
Use the LCD to rewrite 1/6 and 3/8 with the same denominator
The two fractions expressed using lowest common denominator (LCD) is written as [tex]\frac{4}{24} \ and \ \frac{9}{24}[/tex]
The given fractions;
1/6 and 3/8
LCD is the lowest common denominator. To express the given fraction using LCD, we will consider the common multiples of the denominators.
The common multiples of 8 and 6 include the following;
first multiple = 24second multiple = 48With the first common multiple, we will rewrite the two fractions to have the same denominator as shown below;
[tex]\frac{1}{6} = \frac{4}{6\times 4} = \frac{4}{24} \\\\\frac{3}{8} = \frac{3\times 3}{8\times 3} = \frac{9}{24}[/tex]
Thus, the two fractions with the same denominator is written as [tex]\frac{4}{24} \ and \ \frac{9}{24}[/tex]
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Tom deposited $2410 in a bank that pays 12% interest, compounded monthly. Find the amount he will have at the end of 3 years
PLEASE HELP!
I will give you a 5 star rating and thanks
original coordinates are
A (0,3)
B(-1,1)
C(2,1)
so add 3 to the x's and subtract 3 from the y's
A becomes (3,0)
B becomes (2,-2)
C becomes (5, -2)
Answer:
i dont know either sorryyyyyyyy
Step-by-step explanation:
A _______ is a set of characters that uses the same typeface.
Final answer:
A font is a complete set of characters with the same typeface or design, crucial for typographic identity in various industries. Typefaces can be serif, conveying classical vibes, or sans serif, appearing modern. Digital advancements have made typefaces more accessible and diverse for designers.
Explanation:
Understanding Typeface in Typography
A font is a complete set of characters that uses the same typeface or design. This uniformity is a vital aspect of typographic identity and conveys different meanings and vibes, which can be crucial to a corporate image, for instance. The selection of an appropriate typeface is influenced by its use case; businesses might choose a typeface that reflects their industry and brand values. The character of a font can be greatly affected by factors such as whether it is serif or sans serif. A serif typeface, which includes small decorative lines at the end of the strokes that form the letters, like Times New Roman or Garamond, often conveys a classical or refined feeling. In contrast, sans serif typefaces, like Helvetica, lack these lines and therefore appear more modern.
The evolution from physical typesetting to digital design has vastly increased the availability and variety of typefaces, making them accessible and affordable, some even for free. In addition, digital typefaces can be created and distributed worldwide with minimal cost. This evolution has led to a proliferation of typefaces for designers to choose from in creating distinct and visually engaging texts.
Write an inequality that describes this graph.
Please explain HOW you got your answer, thanks a ton! :)
Answer:
z ≤ 1
Step-by-step explanation:
We know the following:
If the initial point is colored, then the only possible inequality signs are ≤ or ≥. However, if the initial point is not colored, then the possible inequality signs for the inequality is < or >. If the line goes to the left of the initial point, it means that the initial point is greater than the numbers on the left of the initial point. If the line goes to the right of the initial point, it means that the initial point is less than the numbers on the right of the initial point.The inequality sign "≤" defines "less than or equal to"The inequality sign "≥" defines "greater than or equal to"The inequality sign "<" defines "greater than"The inequality sign ">" defines "less than"We can observe that:
In the inequality, we can see that the initial point of the inequality is colored. Therefore, the possible inequality signs for the inequality shown on graph are ≤ or ≥. Let us start setting our inequality.
⇒ _ ≤ or ≥ _We can see that the inequality line shown on the graph, goes to the left. Therefore, the line shown on the graph defines that the initial point is greater than the numbers on the left of the number line.
⇒ _ ≥ _Since "1" is the initial point and is greater than or equal to the numbers on the inequality, we can put "1" on the L.H.S of the inequality. Now,
⇒ 1 ≥ _[Optional] Write the numbers, that are less than 1, on the R.H.S of the inequality. Then, we get the following inequality:
⇒ 1 ≥ 0, -2, -4, -6...[Optional] Include "1" in the series as ≤ means greater than or equal to.
⇒ 1 ≥ 1, 0, -2, -4, -6...Let us assume that the numbers less than and equal to 1, be known as z.
⇒ 1 ≥ 1, 0, -2, -4, -6...⇒ 1 ≥ zTherefore, the inequality that represents the graph is z ≤ 1.
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Four friends paid a total of 32 dollars for movie tickets. What is the ratio 32 dollars for4 people written as a unit rate
3rd grade math explain how you know if a number can be divided by 10 evenly
In order to know if a number can be divided by 10 evenly, then such a number must end with a zero.
In order to determine the number(s) that can be divided evenly;
The last digit of the number must be zero.For instance, given the numbers 450, 130, 100
Note that they all end in zeroThey can be divided by 10 without remainder.450/10 = 45, 130/10 = 13, 100/10 = 10Hence in order to know if a number can be divided by 10 evenly, then such a number must end with a zero.
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