Answer:
x=5
Step-by-step explanation:
Distributive Property[tex]2+5x-45=-18\\5x=-18+45-2\\5x=25\\x=5[/tex]
x=5
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The length of the hypotenuse of a right triangle is34 inches and the length of one of its legs is 16inches. What is the length, in inches, of the other leg of this right triangle? 1) 16 2) 18 3) 25 4) 30
Answer:
30 inches
Step-by-step explanation:
16^2 + x^2 = 34^2
256 + x^2 = 1156
X^2 = root 900
X = 30
Answer:
4) 30.
Step-by-step explanation:
We can find the other leg of the right triangle by using the Pythagorean Theorem formula.
[tex]formula-a^2+b^2=c^2[/tex]
[tex]legs-a,b[/tex]
[tex]hypotenuse-c[/tex]
--------------------------------------------------
Remember, the legs of the triangle are the sides that form the right angle. The hypotenuse is the longest side of the triangle.
Here, I am solving for one of the legs.
[tex]16^2+b^2=34^2[/tex]
[tex]256+b^2=1156[/tex]
[tex]1156-256=900[/tex]
[tex]b^2=900[/tex]
[tex]b=30.[/tex]
--------------------------------------------------
Therefore, the length of the second leg is 30 inches.
Write an algebraic expression for each word phase 9 less than x 6 minus f t multiplied by 6 one half of a number n
Answer:
9 < x
6 - f
t × 6
1/2n
Step-by-step explanation:
Given expressions:
9 less than x
Less than (<)
9 less than x = 9 < x
6 minus f
Minus (-)
= 6 - f
t multiplied by 6
Multiplication (×)
= t × 6
one half of a number n
One half = 1/2
one half of a number n
= 1/2 × n
= 1/2n
= n/2
Can Someone Help Me With This ?
Answer:
its to pixelated
Step-by-step explanation:
What is One-third divided by one-fourth?
Answer:
The answer is 1 and 1/3
Step-by-step explanation:
hope its correct
Answer:
1/3 ÷ 1/4
= 1/3 × 4×1
=4/3
=1⅓
someone help me please with this algebra homework
Answer: second choice!
Step-by-step explanation:
What are the center and radius of the circle defined by the equation (x -2)squared + (y + 3) squared equals 16
Answer:
Center (h, k) = 2 and -3
Radius = 4
Step-by-step explanation:
Given the mathematical expression;
(x - 2)² + (y + 3)² = 16 ......equation 1.
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 2.
Where the center is C(-h, -k)
Similarly, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 3.
Where;
h and k represents the coordinates of the centre.r represents the radius of the circle.Comparing equation 1 and equation 3, we have;
The center of the circle, C(h, k) are 2 and -3
Radius = √16 = 4
Linear Law Additional Mathematics F4
Answer:
h = 3, k = 64
Step-by-step explanation:
Given
[tex]log_{2}[/tex] y = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] x + 3
In the form
y = mx + c ( m is the slope and c the y- intercept )
Then
h = 3
On the [tex]log_{2}[/tex] axis [tex]log_{2}[/tex] y = 0 then
0 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k + 3 ( subtract 3 from both sides )
- 3 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k ( divide both sides by - [tex]\frac{1}{2}[/tex] )
6 = [tex]log_{2}[/tex] k , then
k = [tex]2^{6}[/tex] = 64
Solve for x and y:
x – 3y = -8
3x + 2y = 31
Select one:
O a. (-11,-1)
O b. (11,1)
o c. (5,8)
O d. (7,5)
Answer:
O d. (7,5)
Step-by-step explanation:
x – 3y = -8 (1)
3x + 2y = 31 (2)
From (1)
x = -8 + 3y
Substitute x = -8 + 3y into (2)
3x + 2y = 31 (2)
3(-8 + 3y) + 2y = 31
-24 + 9y + 2y = 31
-24 + 11y = 31
11y = 31 + 24
11y = 55
y = 55/11
y = 5
Substitute y = 5 into (1)
x – 3y = -8 (1)
x - 3(5) = -8
x - 15 = -8
x = -8 + 15
x = 7
(x, y) = (7, 5)
What is the median of the data set given below?
19, 22, 46, 24, 37, 16, 19,33
A. 24
B. 23
C, 19
D. 27
Answer:
B. 23
Step-by-step explanation:
16, 19, 19, 22, 24, 33, 37, 46
Median = n/2
= 8/2
= 4//
(22 + 24)÷2 = 46 ÷ 2
= 23
How much would $500 invested at 5% interest compounded continuously be worth after 4 years? Round your answer to the nearest cent
Answer:
$610.70
Step-by-step explanation:
[tex]a = pe^{rt}[/tex]
a = 500 [tex]e^{.05 * 4}[/tex]
a = $610.70
Which choices are equivalent to the expression below? check all that apply. 2x+3x+4x
A. 9x
B. (2+3+4)x
C. 9
D. (9)^(3) or 9x to the third power
Answer:
A. 9x
B. ( 2 + 3 + 4 ) x
Step-by-step explanation:
2x + 3x + 4x = 9x
2x + 3x + 4x
= ( 2 + 3 + 4 ) x
hshsjshshsjsksjjsbsbbs bc hd
Answer:
its b b b
Step-by-step explanation:
PLEASE HELP ASAP
In the diagram below, ΔABC ≅ ΔSTR. Complete the statement BC ≅
A. AC
B. TR
C. ST
D. SR
Answer:
a
Step-by-step explanation:
The complete statement is BC ≅ TR.
What is triangle theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, exists a fundamental relation in Euclidean geometry among the three sides of a right triangle. It expresses that the area of the square whose side exists the hypotenuse stands equivalent to the sum of the areas of the squares on the other two sides.
Using the similarity of triangle theorem BC ≅ TR
To learn more about triangle refer to:
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Can someone help me with this math homework please!
Answer:
option 3. (4, -2)
Step-by-step explanation:
For a relation to be a function there should be exactly one output value for a given input.
In the given relation :-
4 has 2 outputs, -2 and 2, so if we remove the pair (4, -2) 4 will have only one output value ,i. e., 2. And hence the relation will be a function.
So the answer is option 3. (4, -2)
can someone give me the answer for this? __ (5 + 4) = 2 * 5 + 2 * 4
Answer:
The answer is 2_____________________________
2 x 5 = 10
2 x 4 = 8
10 + 8 = 18
______________________________
5 + 4 = 9
_______________________________
_ 9 = 18
18 : 9 = 2
What is the area, in square inches, of the trapezoid below
Answer:
89.2 in^2
Step-by-step explanation:
1/2(15.7+6.6)(8)
=89.2 in^2
Answer:
A = 89.2 in²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 8, b₁ = 6.6, b₂ = 15.7 , then
A = [tex]\frac{1}{2}[/tex] × 8 × (6.6 + 15.7) = 4 × 22.3 = 89.2 in²
The interior angle of a polygon is 3degrees greater than the exterior angle.find the sum of the angles of the polygon
Step-by-step explanation:
We know that the sum of angle around a point is 180° . Therefore let the first angle be x then second will be x + 3 .
According to the Question ,
> x + x + 3 = 360°
> 2x = 357=
> x = 357°/2
> x = 178.5°
What type of health screening would this patient most likely receive?
Sue is a 45-year-old woman with a family history of breast cancer. Her healthcare professional will most likely recommend that she receive a .
Answer:
A mammogram is what she would receive
Step-by-step explanation:
What should be done so that the expression will have a value of 20?
8 + 4 - 22 x 3
Answer:
34 should be added to it to make it 20
Help me please guys
Answer:
m = 5, n = - 1
Step-by-step explanation:
Given
x² + 4x - 5
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)
The factors are + 5 and - 1 , since
5 × - 1 = - 5 and 5 - 1 = + 4 , then
x² + 4x - 5 = (x + 5)(x - 1)
with m = 5 and n = - 1
A box contains 3 red balls, 5 white balls, and 10 green balls. If a ball is chosen at random, what is the probability that it is either white OR green?
a. 3/10
b. 5/6
c. 1/2
d. 1/15
The correct answer is option B which is the probability of either white or green is 5/6.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:-
A box contains 3 red balls, 5 white balls, and 10 green balls. If a ball is chosen at random.The probability that it is either white or green will be calculated as:-
Total balls are :- 3+5+10=18
White or green ball - 5+10=15
3 x 5=15
3 x 6=18
P = N(e)/N(s) = 15/18
P = N(e)/N(s) = 5 / 6
Therefore the correct answer is option B which is the probability of either white or green is 5/6.
To know more about probability follow
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Does anyone know the answer?
Answer:
The third one
Step-by-step explanation:
18. (a)
A football club sells tickets at different prices dependent on age group.
The table shows the football ticket prices for the different age groups.
Price Age:
Under 18 = $15
18 to 60 = $35
Over 60 = $18
At a particular game there were 42 600 tickets sold.
14% were sold to people aged under 18
2/3 of the tickets were sold to people aged 18 to 60
The remainder were sold to people aged over 60
Answer:
5,964 people are under 18 , 400 people are aged 18 to 60 , 8,236 people are over 60
Step-by-step explanation:
42 , 600 x 14/100 = 5,964 people are under 18
42,600 x 2/3 = 28 , 400 people are aged 18 to 60
The remaining over 60 = 42 , 600 - (5,964 + 28400)
42,600 - 34,364 = 8,236 people are over 60
(Please use a separate piece of paper to calculate the answer for this problem.) A study to determine the sensitivity and specificity of a new test for macular degeneration is conducted on 2430 people. Macular degeneration occurs at a rate of 16.72 percent. Your sample has the same prevalence of macular degeneration. You find that 377 people with macular degeneration tested positive with the new test. You also have a total of 561 positive test results in your study. CALCULATE THE POSITIVE PREDICTIVE VALUE of this test under these circumstances. Group of answer choices 83.29% 98.45% 67.20% 92.86% 23.09%
Answer:
[tex]67.20\%[/tex]
Step-by-step explanation:
Given
[tex]n =2430[/tex] --- sample
[tex]r = 16.72\%[/tex] --- degeneration rate
From the findings, we have:
[tex]p = 377[/tex] --- tested positive
[tex]t =561[/tex] --- total test
Required
The positive predicted value (PPV)
This is calculated using:
[tex]PPV=\frac{Positive}{Total}[/tex]
i.e.
[tex]PPV = \frac{377}{561}[/tex]
[tex]PPV = 0.6720[/tex]
Express as percentage
[tex]PPV = 0.6720 * 100\%[/tex]
[tex]PPV = 67.20[/tex]
plz answer!!!!!!!!!!!!!
Answer:
That's cheating my guy...................
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)?
(image should be attached somewhere)
Answer:
The remainder will be 3.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).
Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).
We can rewrite the binomial as (x - (-1)).
Therefore, a = -1.
Then the remainder will be P(-1).
Looking at the graph, we can see that P(-1) = 3.
Thus, the remainder when P(x) is divided by (x + 1) is 3.
Answer:
The remainder is 3 :)
Step-by-step explanation:
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8/m - b/n simplified
Answer:
[see below]
Step-by-step explanation:
[tex]\frac{8}{m}-\frac{b}{n}\\\\\rightarrow \text{Adjust based on LCM}\\\text{LCM: } mn\\\\\frac{8n}{mn}-\frac{bm}{mn}\\\\\boxed{\frac{8n-mb}{mn}}[/tex]
Hope this helps.
Which of the following sampling methods are biased?
systematic random sample
voluntary response sample
convenience sample
simple random sample
Answer:
convenience sample is biased because you're only collecting the samples from places that are expedient, but doesn't necessarily represent the population
What is the explicit formula for this sequence?
7, 2, -3, -8...
Answer:
The explicit formula of that sequence is T - 5
Step-by-step explanation:
Let T represent each term in the sequence. So now try replacing T with each term in the sequence. Like this ;
7 - 5 = 2
2 - 5 = -3
-3 - 5 = -8
hope this helps
Can someone help me with this math homework please!
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
As described in the question, the function [tex]h(t)[/tex] models the total altitude of a hot air balloon over time. 't' represents the number of minutes that would be given.[tex]h(10)[/tex] would be the total altitude over 10 minutes time. To solve for the value, we would replace 't' with 10 and then evaluate.⸻⸻⸻⸻
[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.