Answer: The answer is 9x-8y²+4y+34
Step-by-step explanation: Since the equation is 12x+4y-3x+2-8y^2 + 32
1. combine like terms so- combine 12x-3x= 89x
2. look for other like terms- 2+32= 34
3. since 8y^2 and 4y are not the same you can combine them
4. put them all together- 9x-8y^2+4y+3
That's you answer. Hope this helped
Which expression is equivalent to 5(2x-7)?
Answer:
E
Step-by-step explanation:
The given expression is
5(2x-7)
In order to check the options we will have to simplify the expression so that we can match with the answers.
To simplify the expression , first we have to multiply the 5 written outside the bracket with the terms inside the bracket i.e. 2x -7
So,
=> 5(2x-7)
Multiplying 5 inside
=> (5)(2)x - (5)(7)
=> 10x - 35
So, comparing with the given options, we observe that option E is the correct answer..
6. A baker wants to reduce the amount of sugar in his cake recipes. He decides to reduce the amount
used in 1 cake by 1/2 cup. He then uses 4 cups of sugar to bake 6 cakes.
How much sugar was originally in each cake recipe?
To find the original amount of sugar in each cake recipe, we can set up a proportion and solve for x. The original amount of sugar in each cake recipe was 7/6 cups.
Explanation:To solve this problem, we can use a proportion to find the original amount of sugar in each cake recipe. Let x represent the original amount of sugar in each cake recipe. We know that reducing the amount of sugar by 1/2 cup from 1 cake results in 4 cups of sugar for 6 cakes. So we can set up the proportion:
(x - 1/2) / 1 = 4 / 6
Cross-multiplying, we get (x - 1/2) * 6 = 4 * 1. Simplifying further, we have 6x - 3 = 4. Adding 3 to both sides, we get 6x = 7. Finally, dividing both sides by 6, we find that x = 7/6 cups of sugar.
Therefore, the original amount of sugar in each cake recipe was 7/6 cups.
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Kim made soup which contains 75 total ounces of beans
The soup has two kinds of beans ; black and red
There are 4 times as many ounces of black beans as red beans
How many ounces of red beans are in the soup?
Answer:
15 ounces of red beans
Step-by-step explanation:
So, we know Kim's soup contains a total of 75 ounces of beans, including red beans (r) and black beans (b), so r + b = 75
Then we know that for each ounce of red beans, there are 4 ounces of black beans, 1b = 4r
Then we merge both equations by replacing b's value in the first equation by its equivalent (b = 4r), since we are looking for the count of red beans.
r + b = 75
r + 4r = 75
5 r = 75
r = 15
There are 15 ounces of red beans in Kim's soup, that looks a lot like the last chili I made :-)
which type of graph would display the volunteer totals for each of the 20 clinics
Answer:A dot plot.
Step-by-step explanation: it shows the 5 number summary.
The correct answer is dot plot!
if you stand at the beach and a wave crest hits you every seven seconds, what is the period of this wave?
The period of the wave is this explanation: A group will 'modulate' the wave amplitude; it's like another long wave on top. So the first wave in a group is tiny, the next one is bigger and so on until you get the biggest one in the middle of the group. Then they get smaller again. The last one is tiny, so the biggest wave in the group is in the middle, and if there are 14 waves in a group, the seventh wave is the biggest.
State whether the given measurements determine zero, one, or two triangles. C = 37°, a = 16, c = 14
Two triangles: b ≈ 2.62 or 22.94
Answer:
sides are a = 16 c = 14 b =22.96
angles are A = 43.39° B = 99.61° C = 37°
Step-by-step explanation:
using sine law of triangle,
[tex]\frac{sin A}{a} = \frac{Sin B}{b}= \frac{sinC}{c}[/tex]
using,
[tex]\frac{sin A}{a} = \frac{sinC}{c}[/tex]
given that,
C= 37° a = 16 c = 14
now,
[tex]\frac{sin A}{16} = \frac{sin37^o}{14}[/tex]
sin A = 0.687
A = 43.39°
hence B = 180° - (43.39° + 37°)
B = 99.61°
[tex]\frac{sin 43.39^o}{16} = \frac{sin99.61^o}{b}[/tex]
b = 22.96
Hence, there will be only one triangle which will form and there
sides are a = 16 c = 14 b =22.96
angles are A = 43.39° B = 99.61° C = 37°
How does multiplying a vector by a scalar value of -pi / 4 change the vector?
Answer:
The vector will change in direction and decrease in magnitude
Step-by-step explanation:
Given:
vector multiplication by -π/4
-π/4= -0.785
Due to the negative sign "-", the, vector will change/reverse its direction.
And as of the magnitude, 0.785<1 hence the magnitude of vector will be decreased by this factor !
Factor x10 - y2
I need the answer
Answer:
(x^5 - y)(x^5 + y)
Step-by-step explanation:
The amount of an 18% tip can be found by multiplying the bill by 0.18. Which of the following equations could be used to find the amount of a bill that has a tip of $9.72?
Answer: $54
Step-by-step explanation:
18% of $54 is $9.72
Answer:
Bill amount is $54
Step-by-step explanation:
Tip is a gratuity and amount of money which a customer gives for some specific services workers on the the work they performed. It is the additional amount to the original value of the service
As per given data
Percentage of Tip = 18% = 0.18
Formula for Tip
Tip = Bill amount x Tip rate
$9.72 = Bill amount x 0.18
Bill amount = $9.72 / 0.18
Bill amount = $54
Simplify to create a equivalent expression.
5(10k+1)+2(2+8k)
A.)66k+9
B.)64k+9
C.)66k+54
D.)64k-9
Answer:
[tex]\boxed{\bold{66k+9}}[/tex]
Explanation:
Expand [tex]\bold{5\left(10k+1\right): \ 50k+5}[/tex]
= [tex]\bold{50k+5+2\left(2+8k\right)}[/tex]
Expand [tex]\bold{2\left(2+8k\right): \ 4+16k}[/tex]
= [tex]\bold{50k+5+4+16k}[/tex]
Simplify [tex]\bold{50k+5+4+16k: \ 66k+9}[/tex]
= [tex]\bold{66k+9}[/tex]
Mordancy.
Equivalent expressions are expressions that work the same even though they look different. The equivalent expression 5(10k+1)+2(2+8k) is 66k+9. So option A is correct.
The given expression is 5(10k+1)+2(2+8k). We need to find equivalent expression.
What is Equivalent expressions?Equivalent expressions are expressions that work the same even though they look different.
The given expression is 5(10k+1)+2(2+8k)
Multiply 5 with 10k+1 and 2 with 2+8k
50k+5+4+16k
Add the terms with k coefficient.
66k+9
Therefore 66k+9 is equivalent expression of 5(10k+1)+2(2+8k).
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In a circle of radius 30 inches, a central angle of 35° will intersect the circle
forming an arc of length
[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ °rees\\ \cline{1-2} r=&30\\ \theta =&35 \end{cases}\implies s=\cfrac{\pi (35)(30)}{180} \\\\\\ s=\cfrac{35\pi }{6}\implies s\approx 18.32596[/tex]
Answer: 18.33 inches
Step-by-step explanation:
A P E X
Describe the shape of the data distribution.
Answer: Positively Skewed
Step-by-step explanation: I believe it looks to me like it's positively skewed. If you Google how negatively skewed and positively skewed distributions look like, I think it would help you. But hope this helped! :)
Answer: Symmetric
Step-by-step explanation:
For a box plot , a symmetric data set displays the median in the middle of the box.
Also, We know that a distribution is said to be skewed if it has longer whisker at one side than the other.
But in the given box plot , the median looks at the middle of the box.
Therefore, the given box-plot describes a symmetric distribution.
Using interval notation , identify the domain for the function!!! Math 3 - 10 points. Help needed
Answer:
The domain by the interval notation is (-∞ , 3)∪(3 , 4)∪(4 , ∞) ⇒ 3rd answer
Step-by-step explanation:
* Lets revise how to find the domain of the function
- The domain is all values of x that make the expression defined
- To find where the expression is undefined put the denominator
equal 0, to get the values of x which make denominator equal to 0
- The domain will be all the real number except those values
* Now lets solve the problem
∵ f(x) = (x² - 9)/(x² - 7x + 12)
- Let the denominator x² − 7x + 12 equal to 0
∵ x² − 7x + 12 = 0 ⇒ factorize it
- Consider the form x² + bx + c
- Find a pair of integers whose product is c and whose sum is b
- In this case, whose product is 12 and whose sum is −7
- They are -3 and -4
- Write the factored form using these integers.
∴ (x -3)(x - 4) = 0 ⇒ put each bracket = 0
∴ x - 3 = 0 or x - 4 = 0
∵ x - 3 = 0 ⇒ add 3 to both sides
∴ x = 3
∵ x - 4 = 0 ⇒ add 4 to both sides
∴ x = 4
∴ The domain of f(x) is all real number except 3 and 4
* The domain by the interval notation is
(-∞ , 3)∪(3 , 4)∪(4 , ∞)
Which of these triangle pairs can be mapped to each other using a single reflection?
Answer:
the first option is correct
Step-by-step explanation:
Help asp worth 20 point for the exact answers
Answer:
Step-by-step explanation:
167.31 is 33% of 507
180 is 48% of 375
216.6 is 76% of 285
238.8 is 60% of 398
133.5 is 89% of 150
111.8 is 26% of 430
174.96 is 81% of 216
29.2 is 5% of 584
130.5 is 18% of 725
2.3 is 2% of 115
136.8 is 90% of 152
77.88 is 12% of 649
118.8 is 55% of 216
46.44 is 43% of 108
227.95 is 97% of 235
33% of 507 = 167.31
48% of 375 = 180
76% of 285 = 216.6
60% of 398 = 238.8
89% of 150 = 133.5
26% of 430 = 111.8
81% of 216 = 174.96
5% of 584 = 29.2
18% of 725 = 130.5
2% of 115 = 2.3
90% of 152 = 136.8
12% of 649 = 77.88
55% of 216 = 118.8
43% of 108 = 46.44
97% of 235 = 227.95
If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?
40 cm2
80 cm2
200 cm2
400 cm2
Area is defined as a product of sides when we talk about squares.
[tex]A=a\cdot a=20\cdot20=\boxed{400}[/tex]
The area of the front cover of notebook is 400 centimetres squared.
Hope this helps.
r3t40
Answer:
400 cm
Step-by-step explanation:
Please help I will mark BRAINLIEST
Answer:
x ≤ -4
Step-by-step explanation:
Less than or equal to ≤
x ≤ -4
Abraham is spending a day at the hotel pool. He enjoys jumping from the very cool pool (62 degrees) to the very hot Jacuzzi (113 degrees). What temperature change is Abraham experiencing as he moves from pool to jacuzzi?
Answer:
51
Step-by-step explanation:
113-62=51
If sin θ = 1 over 3 and tan θ < 0, what is the value of cos θ?
2 square root of 2 over 3
negative 2 square root of 2 over 3
2 square root of 2
negative 2 square root of 2
Answer:
2√2 / 3 (first answer choice)
Step-by-step explanation:
If tan Ф < 0, then Ф must be in either Quadrant II or Quadrant IV.
If sin Ф = +1/3, then Ф (for this problem) is in Quadrant II.
Remembering that sin Ф = opp / hyp = 1 / 3, we use the Pythagorean Theorem to find the adj side:
adj² + 1² = 3², or
adj² + 1 = 9, or adj² = 8. Since Ф is in Quadrant II, adj is negative.
The value of cos Ф = adj / hyp = √8 / 3 = 2√2 / 3
Help please? I can’t figure out how to find the value of each trig ratio.
Answer:
51.34
Step-by-step explanation:
First, things first, identify the opposite, adjacent, and hypotenuse.
Since you are trying to find the value of x, the length measuring 4 is the adjacent because it is one of the lengths that creates that angle measure you are trying to find. 5 is the opposite because the angle is on the opposite side of the length. The [tex]\sqrt{41}[/tex] is the hypotenuse.
Now, which trig equation do you want to use?
sin(x) = opposite / hypotenuse
cos(x) = adjacent / hypotenuse
tan(x) = opposite / adjacent
Let's first try solving with sine.
sin(x) = 5/[tex]\sqrt{41}[/tex]
Since you want to find the angle, you have to use the [tex]sin^{-1} (\frac{5}{\sqrt{41}} )=x[/tex]
Plug it into your calculator, then you should get something like this: 51.34019175.
That is the angle measurement of x.
Let's use cosine.
cos(x) = 4/[tex]\sqrt{41}[/tex]
Again, since you want to find the angle, you have to use the [tex]cos^{-1} (\frac{4}{\sqrt{41}} )=x[/tex]
Plug it into your calculator, then you should get something like this: 51.34019175.
You realize that it gave the same answer, right? Yep, let's also do tangent.
tan(x) = 5/4
Again, since you want to find the angle, you have to use the [tex]tan^{-1}(\frac{5}{4}} )=x[/tex]
Type it into the calculator and you should get 51.34019175 again!
The weight, in pounds, of each wrestler on the high school wrestling team at the beginning of the season is listed below.
178 142 112 150 206 130
A. What is the median weight of the wrestlers?
15 points!!!!
Step 1: Order the numbers from least to greatest
112, 130, 142, 150, 178, 206
The two middle numbers are 142 and 150.
The number between 142 and 150 is 146.
The median weight is 146 pounds.
The median weight of the wrestlers is 146 pounds.
To find the median weight, we need to arrange the weights in ascending order and identify the middle value(s).
Arrange the weights in ascending order:
112, 130, 142, 150, 178, 206
Since there is an even number of weights (6), the median is the average of the 3rd and 4th weights.
The 3rd weight is 142, and the 4th weight is 150.
Calculate the median:
(142 + 150) / 2 = 292 / 2 = 146
what is the volume of a right cylinder which has a base radius of 14 inches and a height of 2 inches?
Answer:
V≈1231.5in³
Step-by-step explanation:
V=πr2h=π·142·2≈1231.50432in³ plz give me brainliest :))!!!!!ANSWER
[tex]Volume = 1231.5 {in}^{3} [/tex]
EXPLANATION
The volume of the cylinder is
EXPLANATION
The volume of a right cylinder is given by the formula:
[tex]Volume = \pi \: {r}^{2} h[/tex]
From the given information, the height of the cylinder is 2 inches and the base radius is 14 inches.
This implies that, r=14 inches and r=2 inches.
We plug in the values into the formula to get;
[tex]Volume = \pi \times {14}^{2} \times 2[/tex]
[tex]Volume = \pi \times 196 \times 2[/tex]
[tex]Volume =392 \pi [/tex]
[tex]Volume = 1231.5 {in}^{3} [/tex] to the nearest tenth.
Given L (-4,3) and M (-7,-2) what is the length of LM?
A. 34 square rooted
B. 8 squared rooted
C. 74 squared rooted
D. 122 squared rooted
A. 34 square rooted
[tex]lm = \sqrt{34} [/tex]
everyone at camp takes turns being on lunch duty. You and your friend are in charge of making sandwiches. you both can make 1 sandwich in two minutes. Your friend arrives 10 minutes earlier than you and starts making sandwiches.
a. write equations that model the number of sandwiches made as a function of the number of minutes it takes you and your friend to each make sandwiches.
b. how many sandwiches will each of you make in 20 minutes?
c. how are the graphs of the equations from part (a) related? justify your answer.
help
Answer:
Step-by-step explanation:
A. you: Number of sandwiches = .5 * time
friend: # of sandwiched = .5 * t + 5
B. Your friend makes 10 and you make 5
The equations y1=x/2 and y2=(x+10)/2 model the sandwich-making process, where y1 and y2 are the number of sandwiches you and your friend make respectively. In 20 minutes, you can make 10 sandwiches and your friend can make 15 sandwiches. The graphs of these equations are lines with the same slope, indicating the same rate of sandwich-making but different start times.
Explanation:Let's define the variables first. Let's say x stands for time in minutes, and y1 and y2 stand for the number of sandwiches you and your friend make, respectively.
a) The equations modeling the number of sandwiches made as a function of time would be y1 = x/2 for you (since you make one sandwich in 2 minutes) and y2 = (x+10)/2 for your friend (since your friend starts 10 minutes earlier than you).
b) If x is 20 minutes: for you, replacing x in the equation y1 = x/2, we get the number of sandwiches you make (y1) is 20/2 = 10 sandwiches. For your friend, replacing x in the equation y2 = (x+10)/2, we get the number of sandwiches your friend makes (y2) is (20+10)/2 = 15 sandwiches.
c) In comparison, the graphs of the two equations are lines with the same slope (0.5), indicating the same sandwich-making rate. However, they have different y-intercepts, signifying that your friend started earlier and therefore made more sandwiches.
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How do you do this? Been working on it for along time
it would be 112.5 times times 3 and then multiply by 1000
I got the same answer that user said
The graphs of f(x) and g(x) are shown below:
graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 9, 0.
If f(x) = (x + 7)2, which of the following is g(x) based on the translation?
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2
Answer:
g(x) = (x + 9)2
Step-by-step explanation:
Which equation it equivalent to 3r=78+14
Answer:
A. [tex]3r-14=78[/tex]
Step-by-step explanation:
We are given the equation
[tex]3r=78+14[/tex]
If we subtract 14 from each side we get
[tex]3r=78+14\\\\3r-14=78[/tex]
This is what is shown in answer A
The equation equivalent to 3r = 78 + 14 is Option(A) 3r - 14 = 78 .
What equation is equivalent to the given expression ?The given equation is 3r = 78 + 14 .
Thus, rearranging the given equation, we have
3r - 14 = 78 .
which gives us Option(A).
Therefore, the equation equivalent to 3r = 78 + 14 is Option(A) 3r - 14 = 78 .
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Please help me. I'm so desperate not even my group chat is helping
Answer:
5 between Martin's place and the school
Step-by-step explanation:
I don't know if you can draw a diagram from by directions, but you can try. It will help you to see the problem.
Draw
Draw a line that looks like this on your paper.
<===============:
school X Martin's place
Now draw a line going upwards from the arrow head.
∧ Haley's place.
|
|
|
|
|
|
<=============:
school x Martin's place
Label the distance from the school to Haley's place as 12
I can't draw a line between martin's place and Haley's but you can. Label it as 13
So the givens are
c = distance between Haley's place and Martin's = 13
b= distance from the school to Haley's is 12
a = ? Distance from Martin't and the school = x
Formula
c^2 = a^2 + b^2
Solution
13^2 = 12^2 + a^2
169 = 144 + a^2 Subtract 144 from both sides.
169 - 144 = 144 - 144 + a^2
25 = a^2
sqrt(25) = sqrt(a^2)
a = 5
The distance from Martin's place to the school (a) is 5 units, determined using the Pythagorean theorem with given values of 12 units from the school to Haley's place (b) and 13 units between Haley's and Martin's places (c).
Distance from the school to Haley's place (b): 12
Distance between Haley's place and Martin's place (c): 13
Using the Pythagorean theorem:
c^2 = a^2 + b^2
Substitute the given values:
13^2 = a^2 + 12^2
Simplify the equation:
169 = a^2 + 144
Subtract 144 from both sides:
25 = a^2
Take the square root of both sides:
a = √25
Simplify:
a = 5
Therefore, the distance from Martin's place to the school (a) is 5 units.
The surface area of a sphere having a diameter of 8 inches is:
64 is the correct answer
Answer: [tex]A = 201.06\ in^2[/tex] or [tex]A = 64\pi\ in^2[/tex]
Step-by-step explanation:
The surface area of a sphere is calculated by the following formula
[tex]A = 4\pi r^2[/tex]
Where r is the radius of the sphere
In this case we know that the diameter d of the sphere is
[tex]d=8\ inches[/tex]
So the radius r is:
[tex]r=\frac{d}{2}\\\\r=\frac{8}{2}\\\\r=4\ inches[/tex]
So the surface area of the sphere is:
[tex]A = 4\pi (4)^2[/tex]
[tex]A = 64\pi[/tex]
[tex]A = 201.06\ in^2[/tex]
Joni put $200 in an interest-bearing account with an annual compound interest rate of 5%. Joni determined that after 3 years, she will have a total balance of $230. Her work is shown below. Step 1: P = 200, r = 5, t = 3 Step 2: I = 200 ∙ 0.05 ∙ 3 Step 3: I = 30 Step 4: 30 + 200 = 230 Is Joni correct? Explain. Joni is not correct, because $230 is just the interest she will earn; she will have $430 total. Joni is not correct; $230 will be her balance after 1 year. After 3 years, she will have $290. Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53. Joni is correct. She correctly applied the I = P · r · t formula, and will have $230.
Answer:
Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53.
Step-by-step explanation:
Joni put $200 in an interest-bearing account with an annual compound interest rate of 5%. Joni determined that after 3 years, she will have a total balance of $230.
Step 1: P = 200, r = 5, t = 3
Step 2: I = 200*0.05* 3
Step 3: I = 30
Step 4: 30 + 200 = 230
Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53.
Above it is given, that annual compound interest rate of 5%
So, she should have calculated using the compound interest formula.
[tex]A=p(1+r/n)^{nt}[/tex]
So, amount becomes :
[tex]A=200(1+0.05)^{3}[/tex]
[tex]A=200(1.05)^{3}[/tex] = $231.53.
Answer:
Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53.
Step-by-step explanation:
Just did it