Answer:
Amount earned (New investment) = $1,890
Step-by-step explanation:
Given:
Amount invested = $5,000
Earned = $1,050
New investment = $9,000
Find:
Amount earned (New investment)
Computation:
Amount earned (New investment) = [Earned / Amount invested]New investment
Amount earned (New investment) = [1,050 / 5,000]9,000
Amount earned (New investment) = $1,890
Please hurry i cant wait for too long ;-;.
Answer:
the answer is 1/6.......
f(x)=40+4x+x^2 (e) What is the slope of the chord connecting the points (5, f (5)) and (5 + ∆x, f (5 + ∆x)), when ∆x = 5? Really confused on how to do this and what it means
Answer:
19
Step-by-step explanation:
So we have the function:
[tex]f(x)=40+4x+x^2[/tex]
And we want to find the slope of the chord that connects the points (5,f(5)) and (5+Δx, f(5+Δx)).
So first, find the two points.
1) (5,f(5))
Substitute in 5 for x:
[tex]f(x)=40+4x+x^2\\f(5)=40+4(5)+(5)^2[/tex]
Square and multiply:
[tex]f(5)=40+20+25[/tex]
Add:
[tex]f(5)=85[/tex]
So, our first point is (5,85)
2) (5+Δx, f(5+Δx))
Remove the Δx by substituting it with 5. Thus:
[tex](5+\Delta x,f(5+\Delta x))=(5+5,f(5+5))=(10,f(10))[/tex]
Now, substitute in 10 for x. Thus:
[tex]f(10)=40+4(10)+(10)^2[/tex]
Square and multiply:
[tex]f(10)=40+40+100[/tex]
Add:
[tex]f(10)=180[/tex]
So our second point is (10,180).
Now, just find the slope between (5,85) and (10,180) using the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (5,85) be x₁ and y₁ and let (10,180) be x₂ and y₂. Substitute:
[tex]m=\frac{180-85}{10-5}[/tex]
Subtract:
[tex]m=\frac{95}{5}[/tex]
Divide:
[tex]m=19[/tex]
So, the slope that connects the chord is 19.
And we are done :)
Find out the unknown length. Please i really need help on this one really bad...
Answer:
6
Step-by-step explanation:
using similar triangles
x/(x+8) =15/35
x/(x+8) =3/7
cross multiply the two sides which will give u
3(x+8) =x*7
3x +24 =7x
24=7x-3x
24=4x
using 4 to divide both sides
24/4=4x/4
6=x
x=6
Area of triangle=42, the width is x+3 and the length is 2x+8, find the value of x
Step-by-step explanation:
Area of triangle = 1/2 × the width × the length
42 = 1/2(x+3)(2x+8)
42 = 1/2×2×(x+3)(x+4)
42 = (x+3)(x+4)
(x+3)(x+4) = 42
x² + 7x + 12 = 42
x² + 7x + 12 - 42 = 0
x² + 7x - 30 = 0
(x-3)(x+10) = 0
x = 3, -10
x can't be -10 because the width and the length should be only + values
x = 3
The value of x found by using the area of triangle concept is 3
What is the Area of a Triangle?
The entire area filled by a triangle's three sides on a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 b × h, where b and h are the product of the triangle's base and height. All triangle shapes, including scalene, isosceles, and equilateral triangles, may be calculated using this formula. It is important to keep in mind that a triangle's base and height are perpendicular to one another.
In the question, It is given that:
Area of triangle = 42.
Width of the triangle = x+3
Length of the triangle = 2x+8;
And, we know that:
Area of triangle = [tex]\frac{1}{2}[/tex]×[tex]lw[/tex]
⇒[tex]42[/tex] = [tex]\frac{1}{2}[/tex]×[tex](x+3)(2x+8)[/tex]
⇒42 = (x+3)(x+4)
⇒(x+3)(x+4) = 42
⇒x² + 7x + 12 = 42
⇒x² + 7x + 12 - 42 = 0
⇒x² + 7x - 30 = 0
⇒(x-3)(x+10) = 0
⇒x = 3, -10
x can't be -10 because the width and the length should be only + values
⇒x = 3
Hence, The value of x is 3.
To learn more about the area of the triangle visit the given link:
https://brainly.com/question/17335144
#SPJ2
Suppose that Cand D are points on the number line. If CD=11 and D lies at 6, where could C be located?separate them with commas.
what
help
Answer:
Step-by-step explanation:
There can only be 2 location which is to the right and to the left, this is because it means the difference between is 17. Add them together. So the two answers are…
17
and
-17
Solve a = 2x + 6xz for X
Answer:
See Below.
Step-by-step explanation:
We are given the equation:
[tex]a=2x+6xz[/tex]
And we want to solve for x.
On the right-hand side, we can factor:
[tex]a=x(2+6z)[/tex]
And divide both sides by the factored expression. Hence:
[tex]\displaystyle x=\frac{a}{6z + 2}[/tex]
And we're done!
Answer:
x=a/2(1+3z)
Step-by-step explanation:
A person is walking 3 feet per second. How fast is this in yards per hour?
PLEASE HELP!
Answer:
1 yard per hour
Step-by-step explanation:
3 feet=1 yard
Which is the value of g(-5) if g() = 3.46 - 8?
Steps to solve:
g() = 3.46 - 8?
~Subtract
g() = -4.54
Best of Luck!
A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the ground. If the angle of depression from the person on the building is 30°, how far are the two people away from one another? Round your answer to the nearest foot.
Answer:
520 feet
Step-by-step explanation:
The easiest way to visualize this problem is to sketch a quick diagram.
For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.
Hope this helps!
The question is 108 divided by -0.9
Answer:
your answer will be -120
Answer:
you're answer would be -120
Step-by-step explanation:
108/(-0.9)=(-120)
The perimeter of a rectangle is 36 feet. If the length is 13, find the width
Answer: 5 feet
Step-by-step explanation: To find the width of the rectangle,
start with the formula for the perimeter, shown below.
Perimeter = 2l + 2w
Since we know the perimeter is 36 and the
length is 13, we have 36 = 2(13) + 2w.
Simplifying on the right, we have 36 = 26 + 2w.
Not subtract 26 from both sides to get 10 = 2w.
Now divide both sides by 2 and 5 = w.
So the with is 5 feet.
how to estimate 72,931+18,563
Answer:
Your answer is 91, 494
Step-by-step explanation:
I will tell how is your answer is 91,494
72,931
+18,563
=91,494
Just add the question then you have your answer
All of the following are equivalent, except
3x
2x^2
x(2 + 1)
2x + x
Answer:
2x^2 is not equivalent
Step-by-step explanation:
3x = 3x
2x^2 = 2x^2
X(2+1) = 3x
2x + x = 3x
the odd one out is 2x^2
Janice works part-time in a pizza restaurant. She makes a monthly salary of $240. She spends 3/5 of her salary on gas for her car. How much does Janice have left at the end of the month for her other expenses
Answer: 144
Step by step: In order to solve this easily, you should convert 3/5 into a decimal. In order to do that, you have to divide the numerator by the denominator. 3 divided by 5 = 0.6. Then you multiply 240 by 0.6 to get your answer, 144.
Please help I will give out brainliest
Hey There!! ~
The answer to this is: the upper bound for the length is [tex]21.5cm.[/tex] Lower and Upper Bounds
The lower bound is the smallest value that will round up to the approximate value.
The upper bound is the smallest value that will round up to the next approximate value.
Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.
Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:
As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :
⇒ [tex]21.5cm.[/tex]
21.5 cm on rounding off will give 22 cm . So , the upper bound for the length is [tex]21.5cm.[/tex]
Hope It Helped!~
[tex]ItsNobody[/tex]~
solve for x. x - 1
2 = 4
Answer:
x = 16
Step-by-step explanation:
x - 12 = 4
+ 12 = +12
x = 16
Answer:
16
Step-by-step explanation:
The spinner below shows 10 equally sized slices. Rachel spun the dial 500 times and got the following results.
Answer:
most likely got 50 of each slice since they were the same size
Step-by-step explanation:
500/10=50
Answer:
50
Step-by-step explanation:
Can anyone answer this for me and explain? I’ll give a thanks.
Answer:
86°
Step-by-step explanation:
If you draw a line segment AC, it forms the rest of right triangle ACB with the right angle at C. Then angle BAC is the complement of the given angle:
∠BAC = 90° -47° = 43°
The inscribed angle BAC intercepts arc BC, so the arc measure will be double the angle measure.
arc BC = 2·43° = 86°
__
Another way to get there is to realize that arc BCA is 180°, because AB is a diameter. As above, arc AC will be double the measure of inscribed angle ABC, so arc AC has measure 94°.
arc BC = arc ACB - arc AC
arc BC = 180° -94°
arc BC = 86°
What number groups does 15 classify into? Counting numbers, whole numbers, integers, rational numbers, real numbers?
Answer:
Hey, I think you've done this already!
Step-by-step explanation:
Answer:
brainliest
Step-by-step explanation:
Solve -x/4 < 7
A. x < -28
B. x < 28
C. x > -28
D. x > 28
Answer: [tex]x>-28[/tex]
Simplify both sides of the inequality
[tex]1/4x<7[/tex]
Multiply both sides by 4/-1
[tex](4/-1)*(-1/4x)<(4/-1)*(7)\\x<-28[/tex]
x-(-6)=4
please help me SASP
Hey there! I think the answer is x=(-2)
Answer:
-2
Step-by-step explanation:
What is 2.1 with 1repeating as a mixed number
Answer:
2 1/10. is the answer i thinkA sailor entered a race and made a round trip of 213.709 miles. What is 213.709 rounded to the nearest hundredth?
Which of the following statements explains how you should find 213.709?
A. Since the digit in the hundredths place is less than five, keep the digit in the hundredths place. Then drop the digits on the right.
B. Since the digit in the hundredths place is less than five, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C. Since the digit in the thousandths place is greater than or equal to five, increase the digit in the hundredths place by one. Then drop the digit in the thousandths place.
D. Since the digit the hundredths place is less than five, leave the digit in the hundredths place and drop all the numbers on the right.
Answer:
C
Step-by-step explanation:
There was this saying they told me for rounding things. 5 or more, let it soar. 4 or less, let it rest. 9 is greater than or equal to 5, meaning that the digit in the hundredths place will increase by one.
There are 360 7the grade students at eisenhower middle school. One fourth of the students went to clermonth elementary. Of the rest half went to central elementary and the others came from other schools. How many students came from central elementary?
Answer:
Step-by-step explanation:
1/4x + 1/2x + 1/4x = 360
4(2/4x + 1/2x = 360)
2x + 2x = 1440
4x = 1440
x = 360
1/4(360)= 90 Clermonth
1/2(360)= 180 Central
1/4(360)= 90 other schools
Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u= av + bw.
Answer:
1/2 and 3/2Step-by-step explanation:
Given the expression u= av + bw where u = 2i + j, v = i + j, and w = i - j, to find the scalars a and b, we will first substitute the vectors into the expression given as shown;
u= av + bw
2i + j = a( i + j)+b(i-j)
open the parenthesis
2i + j = ai+aj+bi-bj
collect like terms at the right hand side of the equation
2i + j = ai+bi+aj-bj
2i + j = (a+b)i+(a-b)j
compare the coefficient of complex value i and j on both sides
a+b = 2 ............... 1
a-b = 1................. 2
solve the resulting equation simultaneously using elimination method
Subtract both equation from each other.
(a-a) +(b-(-b))= 2-1
0+2b = 1
b = 1/2
Substitue b = 1/2 into equation 2 to get a
From equation 2, a = 1+b
a = 1 + 1/2
b = 3/2
Hence the scalars a and b are 1/2 and 3/2 respectively
[tex]a=\frac{3}{2},b=\frac{1}{2}[/tex]
A complex number is of the form [tex]\boldsymbol{a+ib}[/tex] where [tex]a,b[/tex] are real numbers.
[tex]u=2i+j[/tex]
[tex]v=i+j[/tex]
[tex]w=i-j[/tex]
[tex]u=av+bw[/tex]
So,
[tex]2i+j=a(i+j)+b(i-j)[/tex]
[tex]2i+j=(a+b)i+(a-b)j[/tex]
Therefore,
[tex]2=a+b\\1=a-b[/tex]
Add these equations.
[tex]3=2a\\\frac{3}{2}=a[/tex]
So,
[tex]1=\frac{3}{2}-b\\\\b=\frac{3}{2}-1\\[/tex]
[tex]=\frac{1}{2}[/tex]
For more information:
https://brainly.com/question/19013932?referrer=searchResults
PlusExplain no solution 3(xplus4)equals 3(x-5)
Answer 7
Step-by-step explanation
do theis prdcjkfbiubnvckdnsgjibjkdsvhbrhvbbghbvhvbhbgfndjsnjdnsndj
help me with b whats the answer i think f=4
Answer:
f(-2)= 0
Step-by-step explanation:
Please see attached picture for full solution.
Please assist me with these problems and show the work: Part 2 6. The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree, to the nearest tenth of a metre? 7. A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest degree?
Answer: 6) 35 meters 7) Ф = 10°
Step-by-step explanation:
[tex]6.\quad \tan\ 68^o=\dfrac{x}{14.3}\\\\\\.\quad 14.3 \tan\ 68^o=x\\\\.\quad 35\ meters =x[/tex]
[tex]7.\quad \sin \theta =\dfrac{0.7}{4.2}\\\\\\.\qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{1}{6}\bigg)\\\\\\,\qquad \quad \theta =10^o[/tex]
Question 6:
tan 68 = x/14.3
14.3tan(68) = x
35m = x
Question 7:
sinθ = 0.7/4.2
θ = sin^-1(1/6)
θ = 10
Best of Luck!
Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to
losses has been consistent each year.
Wins
18
45
36
27
Losses
2.
5
4
Х
Using the information in the table, how many losses should he predict for next year if the number of games won is 27?
1
3
Answer:
3
Step-by-step explanation:
2x+2=-59 I need help I don’t know the answer
Answer:
x= -30.5
Step-by-step explanation:
In order to solve equations like this, we need to have all the x terms on one side, and all the other terms on the other side. For this equation so far, the x term (2x) is not alone (there is a +2) so we need to move the +2 to the other side to have x by itself. Whatever you do to one side of equation, you must also do to the other side to keep the equation equal. Therefore we can subtract 2 from both sides which moves the two to the other side while keeping the equation equal. In order to move a term to the other side, we must do the operation opposite to what the term has. E.g. +2 is adding 2, so to move it to the other side, we need to subtract 2.
2x +2 -2 = -59 -2
Which cancels out the 2 on the left side and gives us:
2x = -59-2
2x = -61
Then we just need to remove the 2.
In this case, this 2 is being multiplied to the x, so to move it, we will need to divide both sides by 2.
2x/2 = -61/2
which finally gives us:
x = -30.5
Hope this helped!