Answer: x=-10
Step-by-step explanation:
5*(12+x)=10
Distribute
60+5x=10
Subtract(60)
5x=-50
x=-10
Hope it helps <3
Answer:
Heeyyy hope it helps
Step-by-step explanation:
Ok, so the product is the answer to a multiplication problem.
The product of 5 and the sum of a number(X) and 3 is
5(X + 3) = 12
5X + 15 = 12
5X = 12 - 15
5X = -3
X = -3/5
what fractons time another equal a whole number
here is an example of a fraction that equals a whole number
2/2 would equal a whole number. The bottom number is 2. This means the whole is cut into two equal pieces (halves).
The top number is 2, so we are counting two-halves.
After shading two-halves, you see that the whole circle is shaded. Two-halves is equivalent to 1.
You would plot 2/2 at the same location as the whole number 1.
How many Real Solutions
Answer:
D.0
Step-by-step explanation:
Our system of equations is
y= x²+1y=xthen we can conclude that
x²+1 = xx²+1-x = 0x²-x+1 = 0This is a quadratic equation so we will use the dicriminant method:
Let Δ be our dicriminant
a= 1b= -1c= 1Δ = (-1)²-4*1*1 = 1-4 = -3 < 0The dicriminant is negative so this equation has no real solutions
the the system has no real solutions
Answer ill mark the brainliest please help
Answer:
50.27
Step-by-step explanation:
First, we have to find the volume of the cone using the formula V=πr^2h/3, where pi is 3.14. After plugging everything in, we get V = 75.4. Then, we have to find 2/3 of that. Rounding to the nearest hundredth, we get 2/3 x 75.4 = 50.27.
a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6?6x7x7=294 b) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once?6x6x5=180 c) How many odd numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once?3x5x5=75 d) How many three-digit numbers greater than 330 can be formed from the digits 0, 1, 2, 3, 4, 5, and 6?3x7x7=147/1x3x7=21/147+27=168 e) How many three-digit numbers greater than 330 can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once?1x3x5=15/3x6x5=90/90+15=105
Answer:
a) 294
b) 180
c) 75
d) 168
e) 105
Step-by-step explanation:
Given the numbers 0, 1, 2, 3, 4, 5 and 6.
Part A)
How many 3 digit numbers can be formed ?
Solution:
Here we have 3 spaces for the digits.
Unit's place, ten's place and hundred's place.
For unit's place, any of the numbers can be used i.e. 7 options.
For ten's place, any of the numbers can be used i.e. 7 options.
For hundred's place, 0 can not be used (because if 0 is used here, the number will become 2 digit) i.e. 6 options.
Total number of ways = [tex]7 \times 7 \times 6[/tex] = 294
Part B:
How many 3 digit numbers can be formed if repetition not allowed?
Solution:
Here we have 3 spaces for the digits.
Unit's place, ten's place and hundred's place.
For hundred's place, 0 can not be used (because if 0 is used here, the number will become 2 digit) i.e. 6 options.
Now, one digit used, So For unit's place, any of the numbers can be used i.e. 6 options.
Now, 2 digits used, so For ten's place, any of the numbers can be used i.e. 5 options.
Total number of ways = [tex]6 \times 6 \times 5[/tex] = 180
Part C)
How many odd numbers if each digit used only once ?
Solution:
For a number to be odd, the last digit must be odd i.e. unit's place can have only one of the digits from 1, 3 and 5.
Number of options for unit's place = 3
Now, one digit used and 0 can not be at hundred's place So For hundred's place, any of the numbers can be used i.e. 5 options.
Now, 2 digits used, so For ten's place, any of the numbers can be used i.e. 5 options.
Total number of ways = [tex]3 \times 5 \times 5[/tex] = 75
Part d)
How many numbers greater than 330 ?
Case 1: 4, 5 or 6 at hundred's place
Number of options for hundred's place = 3
Number of options for ten's place = 7
Number of options for unit's place = 7
Total number of ways = [tex]3 \times 7 \times 7[/tex] = 147
Case 2: 3 at hundred's place
Number of options for hundred's place = 1
Number of options for ten's place = 3 (4, 5, 6)
Number of options for unit's place = 7
Total number of ways = [tex]1 \times 3 \times 7[/tex] = 21
Total number of required ways = 147 + 21 = 168
Part e)
Case 1: 4, 5 or 6 at hundred's place
Number of options for hundred's place = 3
Number of options for ten's place = 6
Number of options for unit's place = 5
Total number of ways = [tex]3 \times 6 \times 5[/tex] = 90
Case 2: 3 at hundred's place
Number of options for hundred's place = 1
Number of options for ten's place = 3 (4, 5, 6)
Number of options for unit's place = 5
Total number of ways = [tex]1 \times 3 \times 5[/tex] = 15
Total number of required ways = 90 + 15 = 105
URGENT
Given that the point $(4,7)$ is on the graph of $y=3f(2x)+1$, there is one point that must be on the graph of $y=f(x)$. What is the sum of coordinates of that point?
(4, 7) lies on the graph of [tex]y=3f(2x)+1[/tex], so plugging in [tex]x=4[/tex] gives [tex]y=7[/tex]:
[tex]7=3f(2\cdot4)+1\implies f(8)=2[/tex]
i.e. if [tex]x=8[/tex], then [tex]y=2[/tex], so the point (8, 2) lies on the graph of [tex]y=f(x)[/tex]. The sum of this point's coordinates is 8 + 2 = 10.
Your math teacher caught you text messaging in class, again, so the teacher is making you give a presentation to your math class next week. Your assignment is to analyze the scatter plot that shows people's ages and the number of text messages sent in a day. In 3-5 sentences, explain what you see in the scatter plot below.
Answer:
The dots plotted on the scatterplot closely follow a graph of exponential decline. The large number-- around 350 texts per day-- by 18-22year-olds, seems to decline exponentially as age increases. With a little work, it may be possible to plot the curve and write an equation to model the decline.
Step-by-step explanation:
An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown. 110, 130, 150, 170, ...
Answer:
f(n + 1) = f(n) + 20
Step-by-step explanation:
Let f(x) equals their pay at every hour of X
Where x is the number of hours, then if we go with the trend where f(1)=110, f(2)=130 f(3)=150 f(4)=170 then would see that as they are working every hour they have their pay increased by $20, from f(1)=110+ $20 gives us f(2)=130 and that is after an hour then we can say
1 hour work=$20
Then additional 1hour+ n= $20 + n
Hence,f(n+1)=f(n)+20
The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?
Greetings from Brasil...
If we have a translation for left/right, we have to use the expression:
F(X ± C)
if F(X + C), so the function shifted C units to the left
if F(X - C), so the function shifted C units to the right
Bringing to our problem
G(X) = F(X + C)
F(X) = 2X - 1
G(X) = F(X + 7) = 2.(X + 7) - 1
G(X) = F(X + 7) = 2X + 14 - 1
G(X) = F(X + 7) = 2X + 13
G(X) = 2X + 13En una botella caben 2.75 litros de agua. ¿Aproximadamente cuántos galones caben en la botella?1 espacio l i t r o casi igual a 0.264 espacio g a l o n e s
Answer:
0.726 galones
Step-by-step explanation:
De la pregunta anterior, se nos dice que
1 botella = 2.75 litros de agua
Se nos pide encontrar cuántos galones puede contener.
En la pregunta, nos dicen
1 litro = 0.264 galones
2.75 litros =
Multiplicación cruzada
2.75 litros × 0.264 galones
= 0.726 galones.
Por lo tanto, 0.726 galones pueden caber en la botella
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\boxed{15}[/tex]
Step-by-step explanation:
Set the output equal to 0.
[tex]-2x^2 +20x+150=0[/tex]
Factor left side of the equation.
[tex]-2(x+5)(x-15)=0[/tex]
Set factors equal to 0.
First possibility:
[tex]-2(x+5)=0\\x+5=0\\x=-5[/tex]
Second possibility:
[tex]x-15=0\\x=15[/tex]
The value or prize cannot be negative.
[tex]x\neq -5\\ x=15[/tex]
A science fair poster is a rectangle 48 inches long and 36 inches wide. What is the area of the poster in square feet?
Be sure to include the correct unit in your answer.
Answer:
Whats the formula for the area of a rectangle?
L x W. 48 x 36 = 1728 sq inches.
Then divide by (12 x12 ) = 144 to find square feet
Step-by-step explanation:
Triangle D E F is shown. Lines are drawn from each point to the opposite side and intersect at point G. Line segments D C, E B, and F A are formed and cut each side into 2 equal parts. In triangle DEF, DG = 10 cm. What is CG? 5 cm 10 cm 15 cm 20 cm
Answer:
5 cm
Step-by-step explanation:
As we can see in the attached figure that G is the point at which the three medians of the triangle meet i.e we called the centroid
And, according to the property of the centroid, it divides the medians in ratio i.e 2:1
DG: CG = 2 : 1
Since the DG is 10 cm
So, the CG would be half of DG i.e 5 cm
Hence, the CG is 5 cm
Therefore the first option is correct
Answer:
the answer is 5 cm
Step-by-step explanation:
Please answer ASAP will mark brainliest if correct
Answer:
3, 5, 7
Step-by-step explanation:
As per triangle inequality theorem:
Any side of a triangle must be shorter than the other two sides added togetherAssume the sides are equal to 3 smallest odd numbers: 1,3 and 5
Then 1+3< 5 and it is against the above rule, so this is not correctThe next triple is: 3, 5 and 7
Then 3+ 5 > 7 and it is correctSo 3, 5, 7 is the combination of smallest odd numbers to make sides of a triangle
how to estimate 5 2/11- 3 2/18
Answer: The estimated value is: " 2.1 " .
__________________________________
Step-by-step explanation:
__________________________________
We are asked to "estimate" :
5 2/11 - 3/ 2/18 ;
Note: Consider: " 5 2/11 " ;
Note that: "2/11" is close to: "2/10" ; which can be expressed as a decimal value: "0.2 " ;
So, consider this value: "5 2/11 "; as estimated: " 5.2 " .
Now, consider: " 3 2/18 " ;
Note that : "2/18" can easily be reduced to: "1/9 ";
Since: "(2/18)" = "(2÷2) / (18÷2) " = "1/9 " ;
Note that "1/9" is close to "1/10" ; which can be expressed as a decimal value: "0.1 ".
So, consider: "3 2/18 " ; as estimated: " 3.1 " .
__________________________________
So: To estimate: " 5 2/11 - 3 2/18 " ;
__________________________________
Use the following: "5.2 - 3.1 " ;
__________________________________
5.2
- 3. 1
__________________________________
" 2.1 "
___________________________________
The estimated value is: " 2.1 " .
___________________________________
Hope this is helpful to you!
___________________________________
PLEASE HELPPP
Instructions: Find the missing side. Round your answer to the
nearest tenth
Answer:
the trig sign to use is sine
sin(73)=x/15
multiply each side by 15 giving you:
sin(73)15=x
x=14.3
Can someone pls help will mark as brainliest
Answer:
x<-14
Step-by-step explanation:
Hello,
If we multiply by positive numbers it does not change the inequality, right?
So let's multiply by 10 both sides, it comes
[tex]2(4x+1)+10<5(x-6) \\ \\\text{*** develop ***} \\ \\8x+2+10=8x+12 < 5x-30 \\ \\\text{*** subtract 5x ***} \\\\8x+12-5x=3x + 12 < -30 \\ \\\text{*** subtract 12 ***}\\ \\3x+12-12=3x<-30-12 \\ \\3x < -42 \\ \\\text{*** divide by 3, it does not change the inequality ***}\\ \\ x < -42/3=-14[/tex]
I did not find a good way to show you here the number line. You need to basically take all numbers which are at the left of -14 on that line.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
[tex]x < - 14[/tex]
[tex] \frac{1}{5} (4x + 1) + 1 < \frac{1}{2} (x - 6)[/tex]
[tex] \frac{4}{5} x + \frac{1}{5} < \frac{1}{2} x - 3 [/tex]
[tex]8x + 2 + 10 < 5x - 30[/tex]
[tex]8x + 12 < + 5x - 30[/tex]
[tex]8x - 5x < - 30 - 12[/tex]
[tex]3x < - 42[/tex]
[tex] \frac{3}{3} x < \frac{ - 42}{3} [/tex]
[tex]x < - 14[/tex]
PLEASE HELP ASAP PLSSSS
Answer:
Got u 8382 for
Step-by-step explanation:
The one is the one for owing me owning this world haha 8282
Answer:
14°
Step-by-step explanation:
Calculate the common side ZX to both right triangles.
Using the tangent ratio in the upper right triangle.
tan70° = [tex]\frac{opposite}{asjacent}[/tex] = [tex]\frac{ZX}{3}[/tex] ( multiply both sides by 3 )
3 × tan70° = ZX , thus
ZX ≈ 8.24
Using the cosine ratio in the lower right triangle.
cos ZXY = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{ZX}[/tex] = [tex]\frac{8}{8.24}[/tex] , thus
∠ ZXY = [tex]cos^{-1}[/tex] ([tex]\frac{8}{8.24}[/tex] ) ≈ 14° ( to the nearest degree )
8. rajis annual salary ranges from $25 325 in the 1st year to $34 445 in the 7th year. The salaries in this range form an arithmetic sequence? a) Determine the raise the person can expect each year. b) What is the total amount the person will earn in the 7 years?
Answer:
a) $1520
b) [tex]S_7 =[/tex] $209195
Step-by-step explanation:
The range of salaries forms an arithmetic sequence with the first term as 25325 and its 7th term as 34445:
a) The raise the person can get each year is the common difference of the progression, d.
The nth term of an arithmetic progression is given generally as:
[tex]a_n = a + (n - 1)d[/tex]
where a = first term = 25325
d = common difference
Therefore, the 7th term (34445) will be:
34445 = 25325 + (7 - 1)d
34445 = 25325 + 6d
=> 6d = 34445 - 25325 = 9120
d = 9120 / 6 = $1520
Therefore, the raise the person gets each year (common difference) is $1520.
b) The total amount the person will earn after 7 years is the sum of the salaries of all 7 yeas.
The sum of an arithmetic progression up to the nth term is given as:
[tex]S_n = \frac{n}{2}(2a + (n - 1)d)\\ \\[/tex]
Therefore, the sum of the person's salary for the 7 years is:
[tex]S_7 = \frac{7}{2}(2 * 25325 + (7 - 1)1520)\\ \\S_7 = 3.5 (50650 + 6(1520))\\\\S_7 = 3.5 (50650 + 9120)\\\\S_7 = 3.5 * 59770\\[/tex]
[tex]S_7 =[/tex] $209195
That is the total amount of salary after 7 years
Expression equlivalent to 48+30
Answer:
30+48 is equivalent to 48+30
Answer:
30+48
Step-by-step explanation:
equivelent just flip them
Solve the following 2 + 8 ÷ 2 x 3
Answer:
14Step-by-step explanation:
Solution,
Use the BODMAS Rule:
B = Bracket
O = Of
D = Division
M= Multiplication
A = Addition
S = Subtraction
Now,
Let's solve,
[tex]2 + 8 \div 2 \times 3[/tex]
First we have to divide 8 by 2
[tex] = 2 + 4 \times 3[/tex]
Calculate the product
[tex] = 2 + 12[/tex]
Calculate the sum
[tex] = 14[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
14
Step-by-step explanation:
2 + 8 ÷ 2 x 3 =
There is an addition, a division, and a multiplication. According to the correct order of operations, we do first the multiplications and divisions in the order they appear from left to right.
= 2 + 4 x 3
= 2 + 12
Now we do the addition.
= 14
Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 40º. Then Jill goes to the roof of her apartment building, directly above her previous position, and measures the angle of elevation to the top of the same tower to be 30°. If the height of the tower is 100 meters, the height of Jill's apartment building is meters.
Answer:
1) From the measure of 40°, you can write:
tan(40°) = 100/x, where x is the base from the building to the tower
⇒x=100/tan(40°) = 119,18 m
2) From the measure of 30°, you can write
tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.
Then, y = tan(30°) * 119,18 = 68,81 m
3) The height of Jill's building is 100 - 68,81 = 31,19 m
When the height of the tower is 100 meters, the height of Jill's apartment building is 31.19m
How to calculate the height?Let the base from the building to the Rowe be represented by x. Based on the information given, the value will be:
x = 100/tan 40°
x = 119.18m
The height can be represented as:
= 100 - [tan30° × 119.18]
= 100 - 68.81
= 31.19m
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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
last option
Step-by-step explanation:
It will take 200 / 5 = 40 months for Sara's phone to lose all its value, therefore, the domain is 0 ≤ t ≤ 40 because you can't have negative months. Since negative money is not a thing, the range has to be 0 ≤ V(t) ≤ 200 because it stops at 0 and starts at 200.
Identify the point corresponding to Q.
A (-3,-2)
B (1,-1)
C (-3,2)
D (-2,-1)
Answer:
C (-3,2)
Step-by-step explanation:
Well point Q on the parabola is located on point (1,2),
The corresponding point means the point located all the way to the left of Q which is (-3,2).
Thus,
the point that is corresponding to point Q is C. (-3,2).
Hope this helps :)
In a different plan for area codes the first digit could be any number from 3 through 6 the second digit was either 5,6,7 or 8 and the third digit could be any number except 5. With this plan how many different area codes are possible?
Answer:
144 codes are possible
Step-by-step explanation:
Okay for the first digit, we shall be selecting one out of 3,4,5,6.
Meaning we are selecting one out of four choices
The number of ways this can be done is 4C1 ways = 4 ways
For the second digit, we have 5,6,7 or 8, we are still selecting 1 out of 4 selections and the number of ways we can do this is also 4 ways
And lastly , we can choose any digit for the last number expect 5 , so from 0 to 9, we are removing 1 which means we are left with 9 choices
So the number of different area codes possible are ; 9 * 4 * 4 = 144 codes
which of the graphs best represents f(x)= -2 cos 4x-1?
Answer:
see file attached
Step-by-step explanation:
please help :) Which expression is equivalent to 7 × 7 × 7? A.) 3 times 7 B.) 3 to the 7 power C.) 7 times 7 times 7 times 3 D.) 7 to the 3 power
Answer: D) 7 to the 3 power.
Step-by-step explanation:
Answer:
D. 7 to the 3 power
Step-by-step explanation:
I know I'm very late but dont judge :V
This is also seven t the power of three
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a
Answer:
Unknown side = 28tan B = 7/24Step-by-step explanation:
The question is incomplete. Here is the complete question.
Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a = 96 and c = 100.
Pythagoras theorem states that the square of the hypotenuse side of a right angled triangle is equal to the sum of the square of its other two sides. Mathematically c² = a²+b² where c is the hypotenuse and a,b are the other two sides.
From the question, we are given a = 96 and c = 100, to get the unknown side 'b', we will substitute the given values into the formula above;
c² = a²+b²
100² = 96² +b²
b² = 100² - 96²
b² = 10,000 - 9216
b² = 784
b = √784
b = 28
Hence, the unknown length is 28.
To get tanB, we will use the SOH, CAH, TOA trigonometry identity
According to TOA, tan B = opposite/adjacent
tan B = b/a (note that side b is the opposite in this case since the angle we are considering is B)
Given b = 28 and a = 96
tan B = 28/96
tan B = 4*7/4*24
tan B = 7/24
$2,500 principal earning 4%, compounded quarterly, after 4 years $40,000.00 $41,600.00 $2,931.45 $2,924.65
Answer:
Amount= $2933.2
Step-by-step explanation:
The interest of $2,500 principal earning with rate of 4%, compounded quarterly, after 4 years
A= p(1+r/n)^(nt)
P= $2500
r= 4/100= 0.04
t= 4
n = 4*4= 16
A= 2500(1+0.04/16)^(16*4)
A= 2500(1+0.0025)^(64)
A= 2500(1.0025)^64
A= 2500(1.17328)
A= 2933.2
Amount= $2933.2
76.
175/50
[tex] \frac{ \sqrt[3]{175} }{ \sqrt[3]{50} } [/tex]
Answer:
Step-by-step explanation:
Factorize 175 and 50
175 = 5 * 5 * 7
50 = 5 * 5 * 2
[tex]\frac{\sqrt[3]{175}}{\sqrt[3]{}50}=\sqrt[3]{\frac{175}{50}}\\\\\\ =\sqrt[3]{\frac{5*5*7}{5*5*2}}\\\\\\=\sqrt[3]{\frac{7}{2}}[/tex]
Write an equation of the line that passes through the point (-7, -9) with slope -4
A. Y+7= 4(x +9)
B.y+9= 4(x + 7)
c. y +9= - 4(x + 7)
D. Y+7= - 4(x +9)
Answer:
y + 9 = - 4 ( x + 7 )
Option C is the correct option
Step-by-step explanation:
Given
Point = ( -7 , - 9 )
Slope = - 4
Equation of line ( Point slope form )
[tex]y - y1 = m(x - x1)[/tex]
when point = ( -7 , - 9 )
[tex]y + 9 = - 4(x + 7)[/tex]Hope I helped...
Best regards!!
The equation of the line is 4x + y = -37 then option C is correct.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given point is ( -7, - 9 ) and the slope is - 4.
The equation of the line is calculated by,
y - y₁ = m ( x - x₁ )
y - 9 = -4 ( x + 7 )
y = -4x -28 - 9
y = -4x -37
4x + y = -37
Therefore, the equation of the line is 4x + y = -37 then option C is correct.
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