Answer:
685 254
Step-by-step explanation:
The value of a digit increases by a factor of 10 each time you move it one place to the left.
Thus, if you move a digit two places to the left, you increase its value by a factor of 10 × 10 = 100.
Move the 5 from the tens place to the thousands place, and you increase its value from 50 to 5000 (a factor of 100).
PLEASE HELP!!!!
When the battle began, there were 30 percent more brigantines than men-of-war. If there were 260 brigantines, how many total ships took part in the battle?
what is the rule for the reflection?
Step-by-step explanation:
the y-axis is the point (-x,y). Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).
Answer:
The rule for reflection on the x-axis is (x,y) -> (x,-y)
The rule for reflection on the y-axis is (x,y) -> (-y,y)
Step-by-step explanation:
A reflection is a transformation that represents a turn of a figure. The figures can be reflected in a point, a line, or a plane.
A reflection copies each point of a figure to an image through a fixed line. The fixed line is called the reflection line.
Write the relationship between time and distance in this example
Answer:
Step-by-step explanation:
Y= .25x (12)
I think this is an equation for you question if not
Write a house runs a mile in 4 mins 1/4 = .25 miles /mins
You go with the second one i said. hope this gets brainlist
Help!!!!!!!!!!!!!!!!! Please!!!!!
Answer:
<1 = 105
<2 =75
Step-by-step explanation:
Vertical angles are always equal. <2 = 75 because it is opposite a vertical angle.
<1 + <2 = 180 (The two angles are given as supplementary to each other).
<1 + 75 = 180 Subtract 75 from both sides.
<1 + 75 - 75 = 180 - 75 Combine
<1 = 105
Find the area of the triangle, height=x, base=5/3x
Answer:
[tex]A=\frac{5x^{2}}{6}[/tex]
Step-by-step explanation:
Let's solve this by using the Area formula for a triangle:
[tex]A=\frac{1}{2}bh[/tex]
Base: [tex]\frac{5}{3}x[/tex]
Height: [tex]x[/tex]
Solve for A (Area)
[tex]A=\frac{1}{2}(\frac{5}{3}x)(x)[/tex]
[tex]A=\frac{5x^{2}}{6}[/tex]
Since we do not have a given value for [tex]x[/tex], this is as far as we can condense the equation.
The area would be 5x^2/ 6x
Step-by-step explanation:See the image
PLEASE HELP ASAP <333
What is the sum of the geometric series ?
Answer:
Step-by-step explanation:
There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.
One: 6^(1 - 1) = 6^0 = 1
Two: 6^(2 - 1) = 6^1 = 6
Three: 6^(3 - 1) = 6^2 = 36
Four: 6^(4 - 1) = 6^3 = 216
Sum = 259
can you please help me
Answer:
[tex]\large\boxed{f(-7b)=-35b+10}[/tex]
Step-by-step explanation:
[tex]\text{Put}\ v=-7b\ \text{to the function}\ f(v)=5v+10:\\\\f(-7b)=5(-7b)+10=-35b+10[/tex]
I need some help, thanks!
Answer:
2 sections.
Step-by-step explanation:
Given that number of students that had homework last night = 8
Given that number of students that had not homework last night = 4
Then total number of students = 8+4= 12
Then fraction of students that had not homework last night = 4/12
Alaina used that data to design a spinner with 6 congruent sections.
Then number of sections of Alaina's spinner the represents students who did not have homework = ( 6 section) ( 4/12 fraction)
= 6(4/12)
=24/12
=2
Hence final answer is 2 sections.
Suppose 5x^3 + kx^2 – 7x - 6 = (5x + 2)(ax^2 + bx+c) for all x. Find the values of a, b,c, and k.
Answer:
see explanation
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms
(5x + 2)(ax² + bx + c)
= 5x(ax² + bx + c) + 2(ax² + bx + c) ← distribute parenthesis
= 5ax³ + 5bx² + 5cx + 2ax² + 2bx + 2c ← collect like terms
= 5ax³ + x²(5b + 2a) + x(5c + 2b) + 2c
For the 2 sides to be equal then like terms must equate, that is
5ax³ = 5x³ ⇒ 5a = 5 ⇒ a = 1
2c = - 6 ⇒ c = - 3
5b + 2a = k
5c + 2b = - 7 ← substitute c = - 3
- 15 + 2b = - 7 ⇒ 2b = 8 ⇒ b = 4
Substitute a = 1, b = 4 into 5b + 2a = k
20 + 2 = k ⇒ k = 22
The required values are
a = 1, b = 4, c = - 3 and k = 22
There are 44 books per shelf and there are 8 shelves. 1/4 of these books are novels. How many novels will there be?
Answer: 88 Novels
Explanation:
Since there are 44 books per shelf and there are 8 shelves, we have a total of 44*8 or 352 books. Since only a quarter of them (1/4) are novels, we will multiply (1/4) and 352 together to get, 352*(1/4) equals 88 novels
Complete the truths table
Answer:
First Column:
T
F
F
F
Second Column:
F
T
T
T
Step-by-step explanation:
I'm assuming ~ means NOT and ^ means AND.
Evaluate the first column using AND logic; both inputs must be true for the output to be true.
Only the first case has both inputs true, so it will be the only one with a true output, the rest are all false.
Next, take the outputs from column one and apply NOT logic; the output will be the inverse of whatever the input was
Since the first case is true, its output will be false. Since the remaining cases are false, their outputs will be all true.
QUICK !!
What is the image point of (2,-7) after a translation right 4 units and up 3 units ?
Answer:
(6, - 4)
Step-by-step explanation:
A translation of 4 units right is equivalent to adding 4 to the x- coordinate
A translation of 3 units up is equivalent to adding 3 to the y- coordinate
(x, y) → (x + 4, y + 3) ← translation rule
Hence
(2, - 7) → (2 + 4, - 7 + 3) → (6, - 4)
Anwser: (−2,−7)→(−2+4,−7−2)=(2,−9)
Explanation: {right 4 units: add 4 to x-coordinate}
down 2 units: subtract 2 from y-coordinate
Write 0.214214214...as a fraction.
Answer:
012/1000
Step-by-step explanation:
Write an equation that gives the proportional relationship of the graph.
A) y = 1/3 x
B) y = 2x
C) y = 3x
D) y = 6x
Answer:
C
Step-by-step explanation:
A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).
6-0 = 6
2 -0 = 2
The ratio is vertical over horizontal so 6/2 = 3.
The equation is y = 3x.
Answer:
C) [tex]y=3x[/tex]
Step-by-step explanation:
1) Checking the coordinate points (2,6), (4,12), (6,18), (8,24). And since the Proportionality Constant is given by
[tex]k=\frac{y}{x}[/tex]
[tex]k=\frac{y}{x}=\frac{6}{2}=\frac{12}{4}=\frac{18}{6}=\frac{24}{8}=3[/tex]
Then k=3
2) A Proportional Function is given by:
[tex]y=kx[/tex]
Thus we can state that proportional function rule as:
[tex]y=3x[/tex]
Its the ratio one
If y'all can help that would be great
Answer:
9
Step-by-step explanation:
The 4 part of the ratio represents 12 girls
Divide 12 by 4 to find the value of one part of the ratio
[tex]\frac{12}{4}[/tex] = 3 ← value of 1 part of the ratio, hence
Multiply the 3 part of the ratio by 3 to obtain number of boys
3 × 3 = 9 ← number of boys
Answer:9
Step-by-step explanation: it is 3 to 4 so you multiply 4 by 3 you get 12 you multiply 3 by 3 you get 9
Can you help me on 34 and 35 please
-- #34 is choice-C .
-- See the picture attached to this answer, for both solutions.
You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor(the observatory) is 82°. If the total height of the building is another 123 meters above the 86th floor, what is the total height of the building?
base, b = 45m
angle of elevation, aoe = 82deg
height at 86th floor, h1
height above 86th floor, h2 = 123m
total height, h = h1 + h2
using
tan (aoe) = h1/b
=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2
h = h1 +h2 = 320.2 + 123 = 443.2m
Type the correct answer in each box. The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.
Answer: (Width x = 7) (Length 10)
Step-by-step explanation:
(x+3) + = 34/2
2x + 3 = 17
2x = 14
x = 7 -----------Width
10 ---------------Length
Answer: Width= 7 in.
Length= 10 in.
Step-by-step explanation:
[tex]l=w+3[/tex]
The perimeter of the rectangle is 34 inches.
[tex]2(w+l)=34[/tex]
substitute
[tex]2(w+w+3)=34[/tex]
[tex]2(2w+3)=34[/tex]
distributive property [tex]a(b+c)=ab+ac[/tex]
[tex]2\cdot 2w+2\cdot 3=34[/tex]
[tex]4w+6=34[/tex]
[tex]4w+6-6=34-6[/tex]
[tex]4w=28[/tex]
divide 4 on both sides
[tex]w=7[/tex]
Width is 7 inches
substitute w=7 in equation [tex]l=w+3[/tex]
[tex]l=7+3[/tex]
[tex]l=10[/tex]
Length is 10 inches
which type of probability requires the use of the addition rule. explain ?
When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event. P(A or B) = P(A) + P(B) so you add them
hope this helps :)
Find the slope of a line perpendicular to each given line x=3
Answer:
0 or undefined
Step-by-step explanation:
Answer:
The slope doesn't matter.
Step-by-step explanation:
Since the variable equals a constant, any y value would be perpendicular to x = 3.
So lines perpendicular to x = 3 would be,
y = 1y = 2y = 3And so on...A rock drops from a height of 60m. how long does it take for it to hit the ground?
Answer:
The answer is actually C. 3.5. I just answered this question on a quiz and I got it correct. I'm sorry for the late response but I hope this helps!
help me please asap!!!!!
Answer:
Step-by-step explanation:
It's simple just review the division and rules of exponents.
The slash means nothing more than divide 8/2=4 You're diving right? See!
The rule for exponents states that when diving exponents you subtract them, as you see x^3 near and under it is x so you divide the numbers and subtract the exponents.
8/2=4
exponents x^3/x subtract x^2
4x^2
next..6/2=3
exponents x^2-x=x think of it as x is always 1 the exponent just shows you how many xs you have.
So, put the numbers together now 4x^2+3x if you're ever given a negative number just bring it to the opposite side of the line. There's many videos that you can watch online that should help!
The answer for your question would be, 4x^2+3x.
You're welcome!
write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Answer:
C. [tex]\frac{14}{21} = \frac{18}{27} =\frac{2}{3}[/tex]
Step-by-step explanation:
The given triangles are similar.
If the two triangles are said to be similar, then the corresponding angles are equal and the corresponding sides are in proportion.
From the given figure, we are given two corresponding sides of each triangle.
We know the corresponding sides are proportion.
Let's form the proportion using the corresponding sides.
14 corresponds to 18
21 corresponds to 27
Therefore, [tex]\frac{14}{21} = \frac{18}{27}[/tex]
We can simplify the fraction 14/21 by dividing both the numerator and the denominator by 7.
[tex]\frac{14}{21} = \frac{2}{3}[/tex]
Also, we can simplify 18/27 by dividing both the numerator and the denominator by 9.
[tex]\frac{18}{27} = \frac{2}{3}[/tex]
Therefore, answer is C. [tex]\frac{14}{21} = \frac{18}{27} = \frac{2}{3}[/tex]
The correct option is b. 14/18=21/27=7/9 ,The correct option for the ratio of corresponding sides for the similar triangles is 1:3.
The ratio of corresponding sides for the similar triangles can be expressed as follows:
Let's denote the larger triangle's sides as **\(a\) and \(b\)**, and the smaller triangle's sides as **\(c\) and \(d\)**.
Given:
[tex]- Larger triangle: \(a = 18\) and \(b = 27\)\\- Smaller triangle: \(c = 14\) and \(d = 21\)[/tex]
The ratio of corresponding sides is:
[tex]\[\frac{a}{c} = \frac{18}{14} = \frac{9}{7}\]Similarly:\[\frac{b}{d} = \frac{27}{21} = \frac{9}{7}\]Both ratios are equal to \(\frac{9}{7}\).[/tex]
To reduce the ratio to lowest terms, we divide both the numerator and denominator by their greatest common factor (which is 9 in this case):
[tex]\[\frac{9}{7} = \frac{9 \div 9}{7 \div 9} = \frac{1}{\frac{7}{9}} = \frac{1}{\frac{7}{3}} = \frac{1}{\frac{21}{9}} = \frac{1}{3}\][/tex]
Therefore, the reduced ratio of corresponding sides for the similar triangles is **1:3**.
What is the measure of the missing angle?
88°
92°
98°
180°
Answer:
88°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 2 given angle and subtract from 180 for missing angle
missing angle = 180° - (56 + 36)° = 180° - 92° = 88°
The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principal? Round your answer to the nearest cent.
Answer:
The principal amount was $23,393.45
Step-by-step explanation:
The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%
We will calculate Principal amount by this formula
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A = amount (98,000)
P = Principal amount (P)
r = rate of interest 4.1% (0.041)
n = number of compounding interest monthly (12)
t = time (35 years)
[tex]98,000=P(1+\frac{0.041}{12})^{(12)(35)}[/tex]
[tex]98,000=P(1+0.003416)^{(420)}[/tex]
[tex]98,000=P(1.003416)^{(420)}[/tex]
98,000 = P(4.189386)
= 4.189386P = 98,000
P = [tex]\frac{98000}{4.189386}[/tex]
P = 23,392.4494 ≈ $23,392.45
The principal amount was $23,393.45
Answer:
$23,392
Step-by-step explanation:
Use the compound interest formula and substitute the values given: $98,000=P(1+.041/12)[tex]^{12(35)}[/tex]
Simplify using order of operations:
$98,000=P(1.003416667)[tex]^{420}[/tex]
P=$98,000(1.003416667)[tex]^{420}[/tex]
P≈$23,392
What is the distance between points A and C
Answer:
Step-by-step explanation:
(- 4 - 2)² + (- 4 - 1)² = AC²
(- 6)² + (- 5)² = AC²
36 + 25 = AC²
AC² = 61
AC = √61
AC ~ 7.81 unitário
I hope I helped you.
The distance between points A and C is calculated using the displacement vector ĐAC, resulting in a distance of 4.5 km.
Explanation:The student's question, 'What is the distance between points A and C', pertains to the calculation of displacement in a vector context within the field of Mathematics. To determine the displacement vector ĐAC, we apply the given information that point C is located three-quarters of the distance from point A to point B. If the full displacement from A to B, denoted as ĐAB, has a magnitude of 6 km, the displacement vector from A to C, which is ĐAC, has a magnitude of 0.75 times 6 km, which equals 4.5 km.
The displacement vector ĐAC is parallel to ĐAB and in the same northeasterly direction, indicating that the distance from A to C is simply 4.5 km. The student can understand that the magnitude of displacement is different from the distance traveled if the path taken is not a straight line; however, in this instance, the path is straight, and therefore, the displacement coincides with the actual distance covered.
To summarize, the distance between points A and C is the magnitude of the displacement vector ĐAC, which is 4.5 km.
Draw a plane intersecting a cube to get
The cross section indicated. Which answer. Thanks.
Answer:
It's B.
Step-by-step explanation:
A gives a triangle.
B gives a rectangle.
C gives a trapezoid.
D gives a square.
Which of the following inequalities matches the graph? graph of an inequality with a solid horizontal line through the point 0, negative 1 and shading above the line
Answer:
[tex]y\geq -1[/tex]
Step-by-step explanation:
The inequality has the attached picture as its graph.. The inequality passes through (0,-1) and is a horizontal line. This means the inequality has the form y < b or y > b where b is the y-coordinate. Since the \shading is above the line then the values must be greater than -1. It is also a solid line so the inequality is equal to. The inequality is [tex]y\geq -1[/tex]
What happens to the volume of a rectangular prism when each of the dimensions is doubled?
A. It doubles.
B. it quadruples.
C. It is six times as great.
D. It is eight times as great.
Plzzz Help
If the label of a can of yams were cut off and laid flat, which expression would give the area, A, of the label with the measurements shown?
Answer:
Step-by-step explanation:
yep hes correct C.) A = 2 • π • r • h
Step-by-step explanation:
The distance around a circle is the circumference, and the formula for it is
C = 2πr.
Taking the label off of the can and stretching it out makes this distance around the circle the length of the rectangular label.
To find the area of a rectangle, we multiply length and width; we know the length is 2πr. The width of the rectangle is the height of the can; this makes the area
A = 2πrh. give him brainly not me
Answer:
its option c A=2 times pi times r times h
Step-by-step explanation: