Answer:
(a) -5, 4
(b) no solution
Step-by-step explanation:
(a) x+5 will be zero when x = -5.
x-4 will be zero when x = 4.
The restricted values are: x = -5 and x = 4.
__
(b) We can simplify the difference of the two sides of the equation.
[tex]\dfrac{4}{x+5}+\dfrac{5}{x-4}=\dfrac{45}{(x+5)(x-4)}\\\\\dfrac{4(x-4)+5(x+5)}{(x+5)(x-4)}=\dfrac{45}{(x+5)(x-4)}\\\\\dfrac{9x+9}{(x+5)(x-4)}-\dfrac{45}{(x+5)(x-4)}=0\\\\\dfrac{9(x-4)}{(x+5)(x-4)}=0\\\\\dfrac{9}{x+5}=0\qquad\text{NO SOLUTION}[/tex]
__
The graph shows there are no values of x that cause the two sides of the equation to be equal (their difference to be zero).
Use the common ratio to find the next term of the geometric sequence. Type a numerical answer in the space provided.
If necessary, use the / key to represent a fraction bar. Do not type spaces in your answer.
120, 60, 30, ...
Answer:
15
Step-by-step explanation:
the common ratio is 1/2 so you do 30(1/2)
30(1/2)=15
can u guys answer this
We have,
∠A0C is a linear pair. [ 180° ]∠AOB = x°∠BOC = 128°Now,
∠AOB + ∠BOC = ∠A0C
⇒ x + 128° = 180°
⇒ x = 180° - 128°
⇒ x = 52°
List the next three numbers for the sequence: 7, 7 2 , 7 4 , 7 8
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
7, 7 /2 , 7/ 4 , 7/ 8
We multiply by 1/2 each time
7/8 *1/2 = 7/16
7/16*1/2 = 7/32
7/32 *1/2 = 7/64
In the triangle below,
y = [ ? ] cm. Round to the
nearest tenth.
Answer:
The answer is
12.3 cmStep-by-step explanation:
Since the triangle is a right angled triangle we can use trigonometric ratios to find y
To find y we use cosine
cos∅ = adjacent / hypotenuse
From the question
y is the adjacent
The hypotenuse is 15
So we have
[tex] \cos(35) = \frac{y}{15} \\ y = 15 \cos( 35 ) \\ y = 12.28728[/tex]
We have the final answer as
12.3 cm to the nearest tenthHope this helps you
whats the answer to 4c+5=27
Answer:
c=5+1/2
Step-by-step explanation:
We move all terms to the left:
4c+5-(27)=0
We add all the numbers together, and all the variables
4c-22=0
We move all terms containing c to the left, all other terms to the right
4c=22
c=22/4
c=5+1/2
Solve for s.
s - -37 = 98
Subtracting a negative becomes addition.
S - -37 = 98
Simplify:
S + 37 = 98
Subtract 37 from both sides:
S = 61
Answer:
61
Step-by-step explanation:
98 - 37 = 61
s = 61
The possible answers are 32, 24, 16, and 8. Please answer ASAP!! :D
Answer:
8 feet
Step-by-step explanation:
The volume of a rectangular prism is [tex]lwh[/tex], where l is length, w is width, and h is height.
We already know the length, width, and volume, so we can easily find the height by substituting these values into the equation, then isolating h one one side.
[tex]96 = 4\cdot3\cdot h\\\\96 = 12h\\\\8 = h[/tex]
Hope this helped!
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?
Answer:
$40.93
Step-by-step explanation:
GivenLinear function of:
14 HCF = $32.6852 HCF = $95.38To find:
19 HCF = ?SolutionLinear equation in slope-intercept form:
y(x) = mx +bWe have points of: (14, 32.68), (52, 95.38):
y(14) = 14 m + by(52) = 52 m +bUsing the points we can find the value of m and b:
m= (y2-y1)/(x2-x1)m= (95.38 - 32.68)/(52 - 14)m = 62.7/ 28m= 1.65Then finding b:
14*1.65 +b = 32.68b= 32.68 - 23.1b= 9.58So the function is:
y = 1.65 x + 9.58Then y(19) is found as:
y(19) = 1.65*19 + 9.58y(19) = 40.93Answer: Cost of 19 HCF of water is $40.93
Which equation describes the line graphed above?
Answer:
What lined graph?
Step-by-step explanation:
Answer:
Please give a lined graph. However, if your question is like mine, I may be able to help.
Here, the answer is D. For the slope, remember: Rise over Run. The slope will be a fraction, so let the amount of points between points on the line (If that makes sense) be that fraction. The amount between points vertically is the Numerator (top) of your fraction, and the amount horizontally is the denominator (Bottom). If the Denominator is 1, your fraction is a whole number.
Femi's last 5 bowling scores were 68, 75, 72, 90, and 80.
What was Femi's mean score?
A. 72
B. 75
C. 77
D. 79
Answer:
77
Step-by-step explanation:
The mean of a set of numbers will be the sum of all of them divided by the amount of numbers.
[tex]68+75+72+90+80=385[/tex]
There are 5 numbers in this set:
[tex]385\div5=77[/tex]
Hope this helped!
Femi's mean score is C. 77
Femi's mean score is the sum of all his bowling scores, divided by the number of times he bowled.
Question said that he bowled 5 times so the mean is:
= (68 + 75 + 72 + 90 + 80) / 5
= 385 / 5
= 77
Femi's mean score is therefore 77
Find out more at https://brainly.com/question/17927197.
The size of a television is the length of the diagonal of its screen in inches. The aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of newer wide-screen televisions is 16:9. Find the width and height of an older 35-inch television whose screen has an aspect ratio of 4:3.
Answer: 3000 in^2
Explanation:
Alana makes and sells homemade bracelets. She made a profit of $65 last week. This week, she donated some bracelets to charity. Her profit at the end of this week can be represented by -$25. What is the DIFFERENCE between last week’s profit and this week’s profit?
Answer:
$40 is the difference. One is positive(W1), one is negative(W2). Therefore, you subtract.
Step-by-step explanation:
You subtract week ones profit and week twos profit.
65 - 25 = $40
You subtract because she had a negative profit for week two and/or a profit below 0.
Choose the best description for the real number 2.33663336663333666689...
Irrational, because it is a terminating decimal
O Rational, because it is a repeating decimal
Irrational, because it is non-terminating decimal
O Rational, because it is a terminating decimal
Answer:
Irrational, non-terminating
Step-by-step explanation:
This number is irrational because it is a non-terminating decimal. Notice how it continues with the '...'. <3
1 ac =how many millions
1 Acre-feet to Million Cubic Feet = 0.0436
To solve the linear equation , the first step is to multiply each side by the least common denominator of all the fractions in the equation. What is the LCD?
Answer:
84
Step-by-step explanation:
The least common denominator of the 7, 6, 12, which are the denominators of the fractions in the given linear equation, is the least expression or number that is divisible by 7, 6, 12.
To find the LCD, express each number as factors of itself as follows:
[tex] 7 = 1*7 [/tex]
[tex] 6 = 2*3 [/tex]
[tex] 12 = 2^2*3 [/tex]
Find the product of the highest terms
The product = LCD = [tex] 1*2^2*3*7 = 84 [/tex]
LCD of 7, 6, 12 = 84
Answer:
84
Step-by-step explanation:
1. -4х – 7- 3х + 4 = 25
Answer:x=-4
Step-by-step explanation: combine like terms, add 4 and -7 which is -3 and add -4x and the -3x because they are like terms which is -7x so it should be -7x-3=25. then to get rid of the 3 add it to both sides so it would turn out like -7x=28 then divide the 7 on both sides= 28/ -7= -4
Solve. 3(4x−7)=27 erhtnmdyrshgfwegbrnhtjftdgrsefvgsrdhtfjndbgrsvgrbhdtnjyu
★ Solution :
[tex]:\implies\sf 3(4x - 7) = 27\:\:\:\:\Bigg\lgroup \bf{Given\: Equation}\Bigg\rgroup \\\\\\:\implies\sf 12x - 21 = 27\\\\\\:\implies\sf 12x = 27 + 21\\\\\\:\implies\sf 12x = 48\\\\\\:\implies\sf x = \dfrac{48}{12}\\\\\\:\implies\underline{\boxed{\sf x = 4}}[/tex]
Answer:
Answer :[tex]3(x - 7) = 27[/tex]
[tex]⟹3x - 21 = 27[/tex]
[tex]⟹3x = 27 + 21[/tex]
[tex]⟹3x = 48[/tex]
[tex]⟹x = \frac{48}{3} [/tex]
[tex]⟹x = 16[/tex]
Find the population of each BRICS country as the fraction of total population of BRICS
Answer:
fortnite battle royal
Step-by-step explanation:
Answer:
fre7wgbxyifg crgrggStep-by-step explanation:
A store bought a dining room table at a cost of $478 and marked it up 150%. Later on, the
store marked it down 60%. What was the discount price?
Answer:
$286.80
Step-by-step explanation:
First, find the price after the 150% markup:
478(1.5)
= 717
Now, calculate the price with the 60% discount:
717(0.4)
= 286.8
= $286.80
Lincoln is wrapping a rectangular shaped present. The length of the present is 4 inches, the width is 8 inches and the height is 15 inches. How much wrapping paper will Lincoln need?
Step-by-step explanation:
To find the area of the wrapping paper required,
we must find the Total Surface Area of the box
As we know, the TSA of a cuboid= 2 (lh+bh+lb)
Here,
Total Surface Area of the cuboid=
[tex]2(4 \times 8 + 8 \times 15 + 15 \times 4)[/tex]
[tex] = 2(32 + 120 + 60)[/tex]
[tex] = 2(212)[/tex]
[tex] = 414 \: inches^2[/tex]
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x) = cos x, x1 = 0.7
Answer:
The two iterations of f(x) = 1.5598
Step-by-step explanation:
If we apply Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
Given;
f(xₙ) = cos x, then f'(xₙ) = - sin x
cos x / - sin x = -cot x
substitute in "-cot x" into the equation
xₙ₊₁ = xₙ - (- cot x)
xₙ₊₁ = xₙ + cot x
x₁ = 0.7
first iteration
x₂ = 0.7 + cot (0.7)
x₂ = 0.7 + 1.18724
x₂ = 1.88724
second iteration
x₃ = 1.88724 + cot (1.88724)
x₃ = 1.88724 - 0.32744
x₃ = 1.5598
To four decimal places = 1.5598
If
A = i +3j -2K and B=4i-2j+4k
Find (2A+B).(A-2B)
GIVEN :
a = 1/√10 ( 3i + k) and
b = 1/7 ( 2i + 3j - 6k)
TO FIND :
( 2a- b) . [ ( a x b ) x ( a + 2b)]
SOLUTION :
◆Going with the equation given,
( 2a - b) . [ ( a x b ) x ( a + 2b)]
= (2a - b) [( a×b×a) + 2(a×b)×b]
◆BAC - CAB RULE,
A×B×C = B( A.B ) - C(A.B )
= (2a- b ) [ (b (a.a ) - a (a.b ) + 2b ( a.b) -2b (a.b]
Solving further
= (2a - b )(b - 2a)
= -4a.a -b.b
=-5.
Answer:
( 2 - b) . [ ( a x b ) x ( a + 2b)] = -5
Hoped I helped
Which statements are always true regarding the
diagram? Check all that apply.
3
OmZ3+ m 24 = 180°
A
co
On
m2 + m 24+ m26 = 180°
m2 + m 24 = m 25
2
7
m21+ m2 = 90°
m24+ m26 = m22
m22 + m 26 = m25
Answer:
m<3 + m<4:= 180°
m<2 + m<4 + m<6 = 180°
m<2 + m<4 = m<5
Step-by-step explanation:
<3 and <4 are linear pairs. They are angles on a straight line. Angles in a straight line sum up to give 180°. Therefore, the statement "m<3 + m<4:= 180°" is TRUE.
<2, <4, <6 are interior angles of a triangle. The sum of the angles in a ∆ = 180°. Therefore, the statement, "m<2 + m<4 + m<6 = 180°" is TRUE.
<2 and <4 are opposite interior angles of the ∆, while <5 is an exterior angle to the ∆. Based on the external angle theorem of a ∆, the statement, "m<2 + m<4 = m<5" is TRUE.
<1 and <2 are a linear pair, and are angles on a straight line. Their sum cannot give us 90°.
m<4 + m<6 ≠ m<2. Rather, 180 - (m<4 + m<6) = m<2 (sum of angles in a ∆)
m<2 + m<6 ≠ m<5. Rather, m<2 + m<4 = m<5
The correct equations are:
m∠5 + m∠6 = 180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
m∠2 + m∠5 = m∠4
TriangleTriangle is a polygon with three angles and three sides. The sum of angles in a triangle is 180 degree.
From the diagram:
m∠5 + m∠6 = 180° (angle in a straight line)
But:
m∠2 + m∠3 + m∠5 = 180
m∠2 + m∠3 + m∠5 = m∠5 + m∠6
m∠2 + m∠3 = m∠6
Also:
m∠2 + m∠3 + m∠5 = 180° (sum of angles in a triangle)
But:
m∠3 + m∠4 = 180° (angle in a straight line)
m∠2 + m∠3 + m∠5 = m∠3 + m∠4
m∠2 + m∠5 = m∠4
Find out more on triangles at: https://brainly.com/question/2644832
Which expression can be used to convert AU$22 into US
There are twelve signs of the zodiac. How many people must be present for there to be at least a 50% chance that two or more of them were born under the same sign
Answer:
5
Step-by-step explanation:
Given that each zodiac sign occupies 1/12 of a year.
Then the minimum number of persons for Y[all different signs] < 0.5,
The probability of at least two having the same sign is 1 minus the probability of all having different signs.
This can be represented as A [at least 2 person share the same sign] = 1 - Y[all different signs] must be > 0.5
Therefore we have 1 - 12/12 *11/12 * 10/12 *9/12 *8/12 = 0.38
This implies that the lowest number will be found to be 5
Hence, the correct answer is 5.
Warmup Day 1
(52 + 4) * 5 - 2 + (-4)
Please work this Problem out step by step.
X Clear
* Undo
Answer:
274
Step-by-step explanation:
(52 + 4) * 5 - 2 + (-4)
56 * 5 - 2 + (-4)
56 * 5 - 2 - 4
280 - 2 - 4
278 - 4
274
Answer:
274
Step-by-step explanation:
(52+4)*5-2+(-4)
(56)*5-2+(-4)
280-2+(-4)
278+(-4)
274
Need help with a,b,c for simplifying
Answer:
6
Step-by-step explanation:
A) f(x+h)=6(x+h)-6
=6x+6h-6
B)(6x+6h-6)-(6x-6)
6x+6h-6-6x+6
=>6h
C=6h/h
C=6
A die is rolled 300 times and following outcomes were recorded.
outcome 1 2 3 4 5 6
frequency 62 45 63 32 47 51
find the probability of getting
1. more than 4
2. less than 3
Answer:
1. 49/150
2. 107/300
Step-by-step explanation:
Here is a probability question.
a. The first question asks us to find the probability of getting more than 4.
Now to do this, we look at our possible results when we roll the die, we can see that we can have 1-6.
But within this range, only two numbers are greater than 4, these are 5 and 6
Thus, to calculate the probability of getting either 5 or 6, we look at their frequencies, sum it up, then divide by the total number of times which the die was rolled.
The frequency of 5 is 47, while that of 6 is 51
The probability of getting more than 4 = Probability of getting 5 + Probability of getting 6 = (Frequency of 5 + Frequency of 6)/Total number of trials
= (47 + 51)/300 = 98/300 = 49/150
b. Probability of getting less than 3
Here, we proceed as we did in the first question. The numbers which are less than 3 are 1 and 2.
So the probability of getting less than 3 = Probability of getting 1 + Probability of getting 2 = (Frequency of 1 + Frequency of 2)/Total number of trials
Frequency of 1 = 62 while Frequency of 2 = 45
So, probability of getting less than 3 = (45 + 62)/300 = 107/300
If one cup of soy milk contains 4g total fat then how many grams of total fat are in 2 3/4 cups of soy milk
Answer:
11
Step-by-step explanation:
Just multiply 4 times 2 3/4 and youll get 11
If one cup of soy milk contains 4g total fat then [tex]2\frac{3}{4}[/tex] cups of soy milk contains 11g of total fat.
Cross multiplication: 1 cup contains 4grams of total fat then[tex]2\frac{3}{4}[/tex] cups contains x grams of total fat.
1(x) = 4([tex]2\frac{3}{4}[/tex])⇒ x = 4([tex]\frac{11}{4}[/tex])
⇒ x = 11 grams
Hence 11 grams of total fat is there in [tex]2\frac{3}{4}[/tex] cups of soy milk.
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Carla has 10 coins, each of which is a nickel, a dime, or a quarter. The total value of her coins is less than $1.00. How many different
combinations of coins might Carla have?
Note: The values of a nickel, a dime, and a quarter are, respectively, $0.05, $0.10, and $0.25.
Answer:
2 quarters,2dimes,6nickels