Answer:
mA=56 degrees
Step-by-step explanation:
Complementary angles adds up to 90 degrees. This imply that
[tex](7x+28)+(8x+2)=90[/tex]
From this equation, we can find x:
[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]
Now, we can substitute the value for x into the angle mA:
[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]
f(x)=2x^2 -5 , simplify f(x+h)/h , where h≠0
Answer:
[tex]\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}}[/tex]
[tex]\huge\boxed{\dfrac{f(x+h)}{h}=\dfrac{2x^2-5}{h}+4x+2h}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-5\\\\\dfrac{f(x+h)}{h}=\dfrac{2(x+h)^2-5}{h}=\dfrac{2(x^2+2xh+h^2)-5}{h}\\\\\dfrac{f(x+h)}{h}=\dfrac{2x^2+4xh+2h^2-5}{h}\\\\h\neq0[/tex]
Susan and Jim each own a lawn-care business. The amount Susan charges for lawn care by the hour is shown in the table. The amount Jim charges for lawn care by the hour is shown in the graph.
Answer:
Can you please provide the table so I can know the numbers.
Step-by-step explanation:
Thank you
Answer:
plss stop english plss lang po
he
Quick I need help plz
Answer:
It's answer is 1/3 .
Hope it helps have a great time :)
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
The easiest way to get the answer is to convert the decimal form into its fraction form. All you have to do is to take note of the number of decimal places in order to raise the number into the power of ten. 0.3 has one decimal place, thus, you can use 10.
[tex]\frac{3}{10}[/tex]Since there's no common factor, there's no cancellation needed. So, the answer is [tex]\frac{3}{10}[/tex].
Let' check.
If you divide 3 by 10, you will get the answer 0.3.
3 ÷ 10 = 0.3 (It's correct)You can get equivalent fractions to this by multiplying or dividing the numerator by the same number.
Example: [tex]\frac{3}{10}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{6}{20}[/tex]
You may also use the fraction [tex]\frac{6}{20}[/tex] for your answer as this is also equivalent to 0.3.
a graph represents a relation that is also a function if only and if every ___ intersects the graph ___ once
Answer:
A graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.
Step-by-step explanation:
The vertical line test should be used to get an idea about the nature of a graph whether it represents a function or not. A vertical line must not intersect the graph multiple times as it would violate the definition of a function.
If a vertical line intersects the graph multiple times, it means the graph is having the same repeated inputs, which is against the definition of a function. A function can not have repeated input values.
Thus, we conclude that a graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.
-34 > -10 + 4x
Help ASAP
Step-by-step explanation:
-34 > -10 + 4x
-24 > 4x
x < -6.
Answer:
Hope it will help u plz brain-list the answer
Step-by-step explanation:
-34 > -10 + 4x
by transitive property of in-equality we get,
-10+4x<-34
4x<-34+10 ( adding 10 to both sides
4x<-24
x<-24/4 ( dividing 4 to both sides
x<-6 Ansis this gear reduction direct drive or overdrive
Answer:
overdrive
Step-by-step explanation:
i have nun but thuis it
Answer:
overdrive
Step-by-step explanation:
gear reduction. refers to the 5th and 6th gear
Help please!! I’ll give brainliest
Answer:
[tex]\boxed{f(n) = 4n + 16 }[/tex]
.
Step-by-step explanation:
We know that it is arithmatic squence
with a = 20 and b = 4
.
So
[tex]Un = a + (n - 1)b[/tex]
[tex]Un = 20 + (n - 1)4[/tex]
[tex]Un = 20 + 4n - 4[/tex]
[tex]Un = 4n + 16[/tex]
.
Happy to help :)
the graph of a quadratic function is shown on the grid. which function is the best represented by this graph?
Answer:
Step-by-step explanation:
It is H
Function for the graph of the parabola given in the picture attached will be Option (H). f(x) = x² - 6x
Equation of a parabola in vertex form: Equation of a parabola in vertex form is given by,
y = a(x - h)² + k
Here, (h, k) is the vertex of the parabola
Given in the graph,
Vertex of the parabola → (3, -9) Parabola passes through the origin (0, 0).Equation of the graph with vertex (3, -9) will be,
y = a(x - 3)² - 9
Since, the parabola passes through (0, 0),
0 = a(0 - 3)² - 9
0 = 9a - 9
a = 1
Substitute the value of 'a' in the equation of the parabola,
y = 1.(x - 3)² - 9
y = x² - 6x + 9 - 9
y = x² - 6x
Hence, the function representing the graph will be f(x) = x² - 6x
Learn more to get the equation of a parabola here,
https://brainly.com/question/22649174?referrer=searchResults
Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?
Include A.M. or P.M. in your answer Please help me fast!!,
Will give brainliest if correct!
If y + 1= 2015, for what positive integer w will 2y^2 + 2y = 2015w?
Answer:
w = 4028
Step-by-step explanation:
Solve for y
[tex]y+1 = 2015[/tex]
[tex]y=2014[/tex]
Substitute 2014 for y then solve for w
[tex]2\left(2014\right)^{2}+2\left(2014\right)=2015w[/tex]
[tex]w=\ \frac{\left(2\left(2014\right)^{2}+2\left(2014\right)\right)}{2015}[/tex]
[tex]w=4028[/tex]
Therefore, w must be 4028
Which equation has the solutions x=1+/- 5?
Ox^2+2x + 4 =0
Ox^2-2x + 4 =0
Ox^2+ 2x-4 = 0
Ox^2-2x – 4 =0
Answer:
[tex]x^{2} -2x-4=0[/tex]
Solving Steps
Use the quadratic formula
[tex]x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}[/tex]
Multiply / Remove the parentheses / Evaluate
[tex]x=\frac{2(+/-)\sqrt{4+16} }{2}[/tex]
Calculate
[tex]x=\frac{2(+/-)\sqrt{20} }{2}[/tex]
Separate the solutions
[tex]x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}[/tex]
Simplify
[tex]x=1+\sqrt{5} \\x=1-\sqrt{5}[/tex]
please help me with this question
What is the ratio of frosted cookies to non-frosted cookies?
Answer:
27:9
Step-by-step explanation:
(v^3-2v^2-78v+16) / (v+8)
Answer:
v^2-10v+2
Step-by-step explanation:
(v^3-2v^2-78v+16) /(v+8)
Factor
(v+8)(v^2-10v+2)/(v+8)=v^2-10v+2
If the perimeter of this triangle is 15 centimeters, what is the value of n
Answer:
n = 5/2
Step-by-step explanation:
Add all of the sides up to make an equation
(5n - 6) + n + (2n + 1) = 15
8n -5 = 15
8n = 20
n = 5/2
Answer:
[tex]0.4cm[/tex]
Step-by-step explanation:
[tex]n + 2n+1 + 5n-6 = 15\\[/tex]
[tex]8n -5 = 15[/tex]
[tex]8n = 20[/tex]
[tex]n = \frac{8}{20}[/tex]
[tex]n = 0.4[/tex]
[tex]\therefore[/tex] the value of [tex]n[/tex] is [tex]0.4cm[/tex]
Hope this helps :)
Macy wants to sell her old Playstation 4 games on decluttr.com. The wtbsite charges sellers a comission of 20%
for items sold on their website. If Macy sells a Playstation 4 game on the website for $35.00. How much willshe
actually receive?
Answer:
$28
Step-by-step explanation:
The website charges 20%, so Macy receives 80%.
Then:
80% x 35=.8 x 35=28 ....................
The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?
help, help
Answer:
10 dollars
Step-by-step explanation:
Answer:
10!
Step-by-step explanation:
So the cashier counts 80 bills and if each bill was 10 dollars, then that would equal the total. ($800) Because 80 x 10 equals 800.
Hope this helps!. :)
What is the missing length??
Answer
The missing length is 10
Step-by-step explanation:
Represent the missing length with x
The sides of the given shape are directly proportional.
Mathematically:
(15 + x) to (12 + 8) and x to 7
Represent as a ratio:
[tex](15 + x) : (12 + 8) = x : 8[/tex]
[tex]15 + x : 20= x : 8[/tex]
Convert to fraction
[tex]\frac{15 + x}{20} = \frac{x}{8}[/tex]
Cross Multiply:
[tex](15 + x)*8 = 20 * x[/tex]
[tex]120 + 8x = 20x[/tex]
Collect Like Terms
[tex]20x - 8x = 120[/tex]
[tex]12x = 120[/tex]
Solve for x
[tex]x = \frac{120}{10}[/tex]
[tex]x = 10[/tex]
The length of the missing side is 10
The science club went on a two-day field trip. The first day the members paid $62 for transportation plus $15 per ticket to the planetarium. The second day they paid $95 for transportation plus $12 per ticket to the geology museum. Write an expression to represent the total cost for two days for the n members of the club.
Answer:
(62 + 15n) + (95 + 12n)
Get that hundo!
Is (-4,2) a solution of 4x+5y<-7
Answer:
(-4,2) is NOT a solution
Step-by-step explanation:
In this question, we have to see if the coordinate is a solution to the inequality.
To do this, plug in and solve:
4(-4) + 5(2) < -7
-16 + 5(2) < -7
-16 + 10 < -7
-6 < -7
Since -6 is not less than -7, this would be false.
Therefore, (-4,2) is NOT a solution.
coordinates are (-4,2)
equation :
[tex]4x + 5y < - 7[/tex]
substituting values of x and y in equation :
[tex]4( - 4) + 5(2)[/tex]
[tex] = - 16 + 10 \\ = - 6 > - 7[/tex]
which is not the required solution as - 6 is greater than -7
therefore (-4,2) is not the solution
2x-20 solve for x in an equilateral triangle
Answer:
x=40
Step-by-step explanation:
triangle = 180 degrees
Equilateral so 3(2x-20) = 180
6x-60=180
6x=240
x=40
Hope this helps!
Please hit the crown!
Merry Christmas!x
The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a binomial random variable. Assume that its probability will be approximated using the normal distribution. Describe the area under the normal curve that will be computed in order to determine the probability that more than 368 Americans support the bill.
Answer:
Right of X = 368.5
Step-by-step explanation:
By using the normal approximation to the Binomial random variable, we normally make use of continuity correction.
Using the rule of continuity;
P(X > K) turn out to be P(X > K + 0.5)
To determine the required probability:
∴
P(X > K) turn out to be P(X > K + 0.5)
P(X > 635) turn out to be P(X > 368 + 0.5)
⇒ P(X > 368.5) to the right.
Right of X = 368.5
Harper is a salesperson who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sales and she earns a commission of 1% of the dollar amount of sales that she makes. Write an equation for P, in terms of x, representing Harper’s total pay on a day which she sells x dollars worth of computers
Answer:
100x-p*1%
Step-by-step explanation:
The difference in the price of 2 video games is $8.25. If one video game costs $19.50, which of the answer choices could represent the price of the other video game?
Answer:
the correct answer would be 11.25 or 27.75 unless the answer choices were some type of ratio
Step-by-step explanation:
PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=
Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
please give thanks by clicking heart button :)
Solve the inequality 6x 5
x 3
x<5
Answer:
375
Step-by-step explanation:
3. Last year 858 people attended the Middleton County Fair. This year 1,635 people attended. What was the percent increase from last year to this year? (Round to the nearest percent)
A.90%
B.91%
C.47%
D.48%
Answer: 47?
Step-by-step explanation:
The average size of single-family homes in the U.S. is 2,390 square feet. A random sample of 100 homes in California yielded the mean of 2,507 square feet and the standard deviation of 257 square feet. Do the sample data provide sufficient evidence to conclude that the mean size of California homes exceeds the national average? Test using significance level of 0.01. (7 Points)
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the mean size of California homes exceeds the national average
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 2390 \ ft^2[/tex]
The sample size is n = 100
The sample mean is [tex]\= x = 2 507 \ ft^2[/tex]
The standard deviation is [tex]s = 257 \ ft^2[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \mu = 2390[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2390[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{s}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{2507 - 2390 }{ \frac{ 257 }{ \sqrt{100 } } }[/tex]
=> [tex]z = 4.55[/tex]
From the z table the area under the normal curve to the left corresponding to 4.55 is
[tex]p-value = P( X > 4.55 ) = 0.00[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the mean size of California homes exceeds the national average
what is the percent of change from 800 to 40?
Answer:
95%
Step-by-step explanation:
%Change from 800 to 40 = %Decrease
%Decrease = Old Value - New Value/Old Value × 100%
%Decrease = 800-40/800 × 100%
%Decrease = 760/800 × 100%
% Decrease = 95%(Answer)
What is the relationship between the ratios?
8/11 and 24/33
Drag and drop to correctly complete the statement.
The ratios are ________.
Enter your answer in the box.
Answer:The ratios are _Equivalent_______.
Step-by-step explanation:
Step 1
Equivalent ratios are ratios that have the same value even though they look different. When we divide or multiply a given ratio by the same number ( in the numerator and denominator )we get anther equivalent ratio.
Step 2
In the given ratios
8/11 and 24/ 33
8/ 11 x 3/ 3 = 24/ 33
also
24/33 ÷ 3/3 = 8/11
This shows that the relationship between the ratios are equivalent.
