Answer:
25
Step-by-step explanation:
remember that the pythagorean theorem is a²+b²=c²
so this equation would be:
7²+24²=c²
solve the exponents
49 + 576 = c²
combine like terms
625 = c²
take the radical of each number
√625 = √c²
25 = c
have a lovely day <3
7. a Police can estimate the speed of a vehicle before the brakes are applied using the formula
0.75d =
s°
30.25
where s is the speed in miles per
hour and d is the length of the vehicle's skid
marks. What was the approximate speed of a vehicle that left skid marks measuring 140 feet?
O about 10 miles per hour
O about 75 miles per hour
about 15 miles per hour
about 56 miles per
hour
Answer:
A
Step-by-step explanation:
The coefficient of x in the expansion of (x+3)(x - 1) is
Answer:
^2+2−3
Step-by-step explanation:
Answer: the coefficient of x in the expansion is 2
Step-by-step explanation:
(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)
which equals x^2 -x +3x -3 which is x^2 +2x -3
the leading coefficient of x^2 1. and the coefficient of x is 2.
If 5x+ 3 = 10x– 17, what is the value of x?
A. 1
B. 2
C. 3
D. 4
E. 5
Answer:
D
Step-by-step explanation:
First, we will move the variable to the left-hand side and change its sign: 5x + 3 - 10x = -17
Next, we need to collect like terms: -5x = -20
Finally, we will divide both sides of the equation by -5 to give us the answer of x = 4.
let p=0.579 compute Q
let q=0.871 compute p.
In probabilities, variables p and q are often used as complements of another.
The value of q is 0.421The value of p is 0.129The relationship between variables p and q is:
[tex]\mathbf{p+ q = 1}[/tex]
So, we have:
(a) p = 0.579
Substitute 0.579 for p in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{0.579 + q = 1}[/tex]
Make q the subject
[tex]\mathbf{q = 1 - 0.579}[/tex]
[tex]\mathbf{q = 0.421}[/tex]
The value of q is 0.421
(b) q = 0.871
Substitute 0.871 for q in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{p + 0.871 = 1}[/tex]
Make p the subject
[tex]\mathbf{p = 1 - 0.871}[/tex]
[tex]\mathbf{p = 0.129}[/tex]
The value of p is 0.129
Read more about probability complements at:
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Please solve this for me thxs
Answer:
3w + x/z + y
That is simplest form
The price of a notebook has risen to $3.45 today. Yesterdays price was $3.20. find the percentage increase, round your answer to the nearest tenth of a percent.
Answer:
7.8%
Step-by-step explanation:
Yesterday’s price =$3.20
Today’s price =$3.45
Increase =today’s price - yesterday’s price
That’s $3.45 - $3.20
= $0.25
Percentage increase = increment /yesterday’s price x 100%
That’s $0.25/$3.20 x 100%
0.0781 x 100%
7.81
7.8%
Determine how many centimeters are in 1 yard if there are 2.54 centimeter per inch and 3 feet in a yard.
Answer:
91.44 cm
Step-by-step explanation:
2.54 x 12 = 30.48 cm per foot
30.48 x 3 = 91.44cm
Find the value of x so that | || m. State the converse used
Mike´s fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?
Answer:
10 months
Step-by-step explanation:
30x=22x+80
8x=80
x=10
The ratio of men to women working for a company is 2/3. If ther are 105 employees total, how many women workfor the company
Answer: There are 70 women and 35 men.
Step-by-step explanation:
105 divided by 3 is 35 and 105 - 35 is 80.
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5x -1
............
(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following
Answer:
Step-by-step explanation:
[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]
[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]
a meterologist said that it rained during 20 % of the past 60 days. on how many days did it not rain
Answer:
48 days
Step-by-step explanation:
20% of 60 is 12
60-12=48
Answer:
48
Step-by-step explanation:
20% of 60 is 12, 60-12=48
Hope that helps
Evaluate:
[tex] log_{\sqrt{3} }(729) \\ [/tex]
Give answer please..
[tex] \large\underline{\sf{Solution-}}[/tex]
Given Logarithmic expression is
[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]
Let first factorize 729
[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{3}}}&{\underline{\sf{\:\:729 \:\:}}}\\ {\underline{\sf{3}}}& \underline{\sf{\:\:243 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:81\:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:27 \:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:9\:\:}}\\\underline{\sf{}}&{\sf{\:\:3 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]
So,
[tex] \purple{\rm \longmapsto\:729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3}[/tex]
[tex] \purple{\rm \longmapsto\:729 = {3}^{6} }[/tex]
[tex] \purple{\rm \longmapsto\:729 = {( [{ \sqrt{3} ]}^{2}) }^{6} }[/tex]
[tex] \purple{\rm \longmapsto\:729 = {( \sqrt{3} )}^{12}}[/tex]
So,
[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]
can be rewritten as
[tex]\rm \: = \: log_{ \sqrt{3} }( {( \sqrt{3}) }^{12} ) [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ log_{a}( {a}^{x} ) \: = \: x \: }}}[/tex]
So, using this identity, we get
[tex]\rm \: = \: 12[/tex]
Hence,
[tex] \green{\rm\implies \:\boxed{\tt{ \: \: log_{ \sqrt{3} }(729) \: = \: 12 \: \: }}}[/tex]
Plz help ASAP will mark branliest
Step-by-step explanation:
Consider that:
[tex](f/g)(x) = f(x) / g(x)\\(f - g)(x) = f(x) - g(x)[/tex]Fill in the blanks
Row 1 ⇒ 2 and -5
(-1)*(-2) = 2Solve using two values:
f(x) - g(x) = - 10 and f(x)/g(x) = - 1 ⇒ f(x) = -g(x), substitute into first-2g(x) = - 10 ⇒ g(x) = 5 and f(x) = - 5Row 2 ⇒ -5 and 5
- 2 - 3 = - 5g(x) = 5 (see above solution)Row 3 ⇒ - 6 and 4
-10 - (-4) = - 62 - (-2) = 4Row 4 ⇒ -6/7 and 2/5
-6/7-2/-5 = 2/5Slope -3/4 and passes through the point (-3, -8). What is the point slope form
Point-slope form is: y - y1 = m ( x - x1 )
You plug in your slope for m and the x and y values from that point for x1 and y1.
y - (-8) = -3/4 ( x - (-3) )
Be sure to clean up the "minus a negative" to get
y + 8 = -3/4 ( x + 3 )
4x - 1 < 7 i don’t know what to do
6.
What is the midpoint of the line segment whose
endpoints (7,-4) and (-3, -2)?
are
Answer: (2, -3)
Step-by-step explanation:
To find the the answer, you will need to use the midpoint formula, which is as following:
(x₁+x₂/2, y₁+y₂/2)
Since we have two coordinates, let's substitute them into the equation.
(7 + (-3 )/ 2, (-4) + (-2)/2)
We should first add 7 and -3 together, as well as -4 and -2.
(4/2, -6/2)
We then divide 4 and -6 by 2. This would give us our midpoint coordinate.
(2, -3)
HELP HELP HELP HELP HELP HELP
long explanation long please
__________
[tex] \: [/tex]
[tex] \frac{x + 2}{x - 1} = ...[/tex]
[tex] \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} [/tex]
[tex] \longmapsto \frac{2}{ - 1} [/tex]
[tex] \longmapsto \boxed{ \bold{ \red{ - 2}}}[/tex]
Please help me this question
Option is
AA
SAS
Not enough information to prove similarity
SSS
Answer:
SAS
Step-by-step explanation:
The included angle is similar and they have corresponding sides.
10x + 6 - 2x - 20 Question 1 options:
12x + 26
8x + 26
8x - 14
12x + 14
---------------------------------
5x2 + 3 + 3x + x2 – 1
Question 2 options:
6x2 + 3x + 2
9x2 + 2
8x2 + 2
6x2 + 3x + 4
--------------------
(x−13)(x7)(x3)
Question 3 options:
x−10
1x3
x273
x−273
---------------------
(2xy)3
Question 4 options:
2x3y3
8x3y3
6x3y3
6xy
---------------------
xy−5
Question 5 options:
y5x
5xy
xy5
xy5
-----------------------
10x6x2
Question 6 options:
10x8
x4
10x4
(10x)4
----------------------
Evaluate
50⋅ 54
------------
53
Question 7 options:
Solve proble
Step-by-step explanation:
10-2x + 6- 20
8x-14 the answer of first question
A person is standing 24 feet away from a street light that is 25 feet tall. How tall is he if his shadow is 6 feet long?
Answer:
Step-by-step explanation:
The triangle formed by the lamp post and the (24+6)foot side on the ground is similar to the right triangle formed by the person of height h and his 6 foot shadow.
H/25=6/36
H=5
The person is 5 feet tall when his shadow is 6 feet long.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
A person is standing 24 feet away from a street light that is 25 feet tall.
let the height of person be x when its height of shadow is 6 feet.
Using Proportion
x/ 6 = 25 / 30
30x =150
x= 150/ 30
x= 5 feet
Hence, the height of the person is 5 feet.
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write the exponential equation given a starting value of 7.5 and a decay rate of 7.5%
Answer:
A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year.
Write an exponential function that models the value of the car, y, over x years.
To the nearest cent, what will be the value of the car after eight years?
Step-by-step explanation:
PLEASEEE HELP ME WITH THIS QUESTION!!! I WILL MARK THE BEST ANSWER BRAINLIEST AND GIVE EXTRA POINTS!!
Answer:
Umm... I'd love to help but... you didnt post a question. Was that an accident?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The absolute value measures the distance from zero on a number line. A negative number will have the sign change,
What is the answer for x?
Answer:
x = -5/7
Step-by-step explanation:
calculate the values of 1999.99 and 6049.44
Answer:
8049.43
Step-by-step explanation:
1999.99 + 6049.44
Find the equation in slope-intercept form that describes line.
A line through (-1, 1) and (2,3)
Answer:
y = 2/3 x + 5/3.
Step-by-step explanation:
Slope m = (3-1)/(2-(-1)) = 2/3.
y - y1 = m(x - x1)
y - 1 = 2/3(x - (-1))
y - 1 = 2/3(x + 1)
y - 1 = 2/3 x+ 2/3
y = 2/3 x + 5/3.
WHAT IS THE MEASURE OF ANGLE A
WHAT IS THE MEASURE OF ANGLE B
WHAT IS THE MEASURE OF ANGLE C
Answer:
∠A = 100
∠B = 50
∠C = 30
Step-by-step explanation:
Sum of all angles of triangle = 180
∠A + ∠B + ∠C = 180
2x +x + x - 20 = 180 {Combine like terms}
4x - 20 = 180
Add 20 to both sides
4x = 180 + 20
4x = 200
Divide both sides by 4
x = 200/4
x = 50
∠A = 2x = 2*50 = 100
∠B = x = 50
∠C = x - 20 = 50 - 20 = 30
What is the midpoint of the segment that joins the complex numbers 7 + 3i and -5 – 8i?
A) 16+11/2i
B) (1,5/2)
C) 1- 5/2i
D) (-6, 11/2)
Answer:
C)
Step-by-step explanation:
The midpoint is the average of the two points.
Thus,
Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i