please help me with this!
If f(x)=3x+10x and g(x)=5x-3, find (f+g)(x)
Answer:
8x+7
Step-by-step explanation:
(f+g)(x)=f(x)+g(x)=3x+10+5x-3=8x+7
please show your work
Answer:
[tex]x = 56[/tex]
Step-by-step explanation:
Use tangent function.
[tex] \tan(x) = \frac{18}{12} [/tex]
Take the arctan
[tex] \tan {}^{ - 1} ( \frac{18}{12} ) [/tex]
which is about
0.98279372.
Convert from radians to degrees in you will get
56 degrees.
Answer:
Step-by-step explanation:
You can solve this by using trigonometry and the formula SOH CAH TOA. You're looking for an angle that is adjacent (next to) 12, and opposite 18. Therefore, you will needed to use TOA, which stands for tangent = opposite/adjacent.
With substitution, this gives you tangent = 18/12. 18/12 is equal to 1.5. Because we are looking for an angle we need to use the tan^-1 (tan to the power of -1) button on our calculator. Tan(1.5)^-1 equals 56.31 to 2dp.
Hope this helps!
Question 3 (2 points)
A new sweater costs $ 32.50 but is on sale for 40% off. What is the sale price?
Answer:
$19.50
Step-by-step explanation:
40% of $32.50 = $13.00
$32.50 - $13.00 = $19.50
Hope this helps!
Find the sum of the first 6 terms of the following series, to the nearest integer.
11, 22, 44,...
Answer:
693
Step-by-step explanation:
11, 22, 44, 88, 176, 352
11 + 22 + 44 + 88 + 176 +352 = 693
If sunscreen holds 12 fluid ounces of sunscreen A regular bottle Holds 75%less in it how many ounces does the regular bottle of sunscreen hold?
Answer:
3 ounces
Step-by-step explanation:
there are two ways that the answer to this question can be determined
Method 1
If the regular bottle Holds 75% less in it, it means that the regular bottle holds 25%(100 - 75)
Ounces the regular bottle holds = 25% x 12
0.25 x 12 = 3
Method 2
Determine the value of 75%
75% x 12
0.75 x 12 = 9
Since the regular bottle Holds 75% less in it, subtract the value of 75% from 12 ounces
12 - 9 = 3
To prepare for a party, Mark buys a small bunch of balloons for $4.00 and
gift bags that cost $3.85 each. He spends a total of $61.75 on the balloons
and a gift bag for each person invited to the party. Write and solve an
equation to find x, the number of people Mark invited to the party.
Answer:
15
Step-by-step explanation:
4+3.85x=61.75
3.85x=57.75
x=15
Find the value of x. Write your answer in simplest form.
Answer:
X=8
Step-by-step explanation:
[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]
Express as a trinomial
(2x - 6)(3x - 2)
Answer:
[tex]6 {x}^{2} - 22x + 12 [/tex]Step-by-step explanation:
(2x - 6)(3x - 2)
= 2x(3x - 2) - 6(3x - 2)
[tex] = 6 {x}^{2} - 4x - 18x + 12[/tex]
[tex] = 6 {x}^{2} - 22x + 12 \: (ans)[/tex]
Which of the following terms best describes the graph of the exponential
function given below?
f(x) = 4• 5x
A. Increasing
B. Linear
C. Constant
D. Decreasing
Answer:
I think the answer could be linear I think.
help!!! find the missing side, round to the nearest tenth
Answer:
D
Comment if you need step by step. I assumed you needed it fast
Answer the statistical measures and create a box and whiskers plot for the following set of data. 4,5,6,6,7, 13, 13, 13, 13, 14, 15, 15, 16, 16, 16 Min: Q1: Med:23: Max: Create the box plot by dragging the lines: FO ЕО EN 2 19 20 10 11 16 17 12 13 18 14 15 9 1 3 4 5
Answer:
can you add a picture or something to work with?
FACTOR the following quadratic expression: x^2-3x-18. Clearly show your steps OR explain your reasoning and CHECK your answer by multiplying to get back to the starting expression. A correct answer without a CHECK and work/ explanation will NOT receive full credit! NOTE: Press and hold the SHIFT button and press 6 to make the "^" exponent symbol. Someone plz help its doe in 10 min
Answer:
The factors of x² - 3·x - 18, are;
(x - 6), (x + 3)
Step-by-step explanation:
The given quadratic expression is presented as follows;
x² - 3·x - 18
To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18
By examination, we have the numbers -6, and 3, which gives;
-6 + 3 = -3
-6 × 3 = -18
Therefore, we can write;
x² - 3·x - 18 = (x - 6) × (x + 3)
Which gives;
(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18
Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)
How many real solutions are there for the equation
3
2
0
1
Answer:
2
Step-by-step explanation:
[tex]12x {}^{2} + 4x - 3x - 1 = 0 [/tex]
[tex]4x \times (3x + 1) - (3x + 1) = 0[/tex]
[tex](3x + 1) \times (4x - 1) = 0[/tex]
[tex]3x + 1 = 0 \\ 4x - 1 = 0[/tex]
[tex]x = - \frac{1}{3} \\ x = \frac{1}{4} [/tex]
I hope this helps :)
There are two known issues with a certain model of new car. The first issue, A, occurs with a probability of P(A)=0.1. B is another known issue with the car. If it is known that either event occurs with a probability of P(A OR B)=0.93, and that both events occur with a probability of P(A AND B)=0.07, calculate P(B).
Answer:
[tex]P(B) = 0.90[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.1[/tex]
[tex]P(A\ or\ B) = 0.93[/tex]
[tex]P(A\ and\ B) = 0.07[/tex]
Required
[tex]P(B)[/tex]
To do this, we make use of:
[tex]P(A\ or\ B) + P(A\ and\ B) = P(A) + P(B)[/tex]
Make P(B) the subject
[tex]P(B) = P(A\ or\ B) + P(A\ and\ B) - P(A)[/tex]
So, we have:
[tex]P(B) = 0.93 + 0.07 - 0.1[/tex]
[tex]P(B) = 0.90[/tex]
Norman made a scale drawing of his patio located in the back of his house. He used the scale 1 millimeter = 2 feet. If the patio is 12 millimeters long in the drawing, how long is the actual patio?
Answer:
The patio is actually 24 feet long.
Step-by-step explanation:
Key words you need to know here are scale is 1 millimeter = 2 feet and patio is 12 millimeters long.
The question is asking how long is the actual patio, not in the scale drawing, in real life.
To solve this I'm going to set up a ratio, the scale being 1 ratio and the other ratio being 12 millimeters over blank. It's going to look like this :
[tex]\frac{1mm}{2 ft}[/tex] = [tex]\frac{12mm}{x}[/tex]
To solve for x we cross multiply.
1(x) = 12(2)
x = 24
So the actual patio is 24 feet long.
Hope this helped, please mark brainliest if possible. Have a nice day! :)
Write an equation of the line that passes
through (0, – 5) and is perpendicular to
the line y= - 4/5x
Answer:
[tex]y = \frac{5}{4} x - 5[/tex]
Can someone please help with this asap its worth a lot of points. (: !!!
Answer:
8...the value of d variable =45 degree
corresponding angles are equal(reason)
9.
Answer:
if one angle is 35 degree... the other angle which one is opposite must be 35 degree
Step-by-step explanation:
now we can collect two angle and try to complete 180 degree. 45+35+ other angle equal to 180 degree and the other angle is 100 degree and we have Z rules so x=100 C°
(b) Evaluate (6.3 x 10^6)+ (9 x 10^2).
Round 0.18 to one decimal place,
Answer:
0.2
Step-by-step explanation:
When rounding to a certain place, check to see if the number to the left of that place is five or above. If it is, round up. If its not, round down.
Rounding 0.18 to one decimal place, we get the value of 0.2.
To round 0.18 to one decimal place, we need to look at the digit in the tenths place (the first digit after the decimal point).
In this case, the tenths place digit is 8. To round to one decimal place, we follow the general rounding rule: if the tenths place digit is 5 or greater, we round up; if it is 4 or less, we round down.
Since the tenths place digit in 0.18 is 8, which is greater than 5, we need to round up.
Thus, rounding 0.18 to one decimal place, we get:
0.2
The rounded value is 0.2, as it is the nearest value when rounded to one decimal place.
Therefore, 0.18 rounded to one decimal place is 0.2.
To learn more about rounding click on,
https://brainly.com/question/293610
#SPJ2
Find the height of a cuboid if it's length is 15cm, it's breath is 12cm and it's total surface are is 900cm
Answer: [tex]h=8.33\ cm[/tex]
Step-by-step explanation:
Given
The length of a cuboid is [tex]l=15\ cm[/tex]
breadth is [tex]b=12\ cm[/tex]
Total surface area is [tex]S.A.=900\ cm^2[/tex]
Surface area is given by [tex]2(lb+hl+bh)[/tex]
Insert the values
[tex]\Rightarrow 900=2(15\times 12+15h+12h)\\\Rightarrow 450=225+27h\\\Rightarrow 225=27h\\\Rightarrow h=8.33\ cm[/tex]
an insurance company offers a no-claims discount of 55% for drivers who have not had an accident for four years. if the discounted premium for such driver is £334 how much did the driver save
Answer:
Amount the driver saved = £408.22
Step-by-step explanation:
Let the original price be = x
Discount % = 55%
Given price after discount = £334
Price after discount = x - (55% of x )
[tex]334 = x - (\frac{55}{100} \times x)\\\\334 = \frac{100x - 55x }{100}\\\\334 \times 100 = 45x\\\\x = \frac{334 \times 100}{45} = 742.22[/tex]
Therefore original price = £742.22
Amount the driver saved = 742.22 - 334
= £408.22
A cup has 438 grams of sand a bucket has 2120 grams of sand how many more grams of sand are in a bucket then a cup
Answer:
1682
Step-by-step explanation:
2120 grams of sand in bucket - 438 grams of sand in cup = 1682 :)
Answer:1682
Step-by-step explanation:
You are remodeling your kitchen. You've contacted two tiling companies who
gladly told you how long it took their workers to tile a floor of a similar size.
Jim completed half the floor in 9 hours. Pete completed the other half of the
floor in 5 hours. If Pete can lay 35 more tiles per hour than Jim, what equation
would you use to find the rate that Jim can lay tiles? Let x represent Jim's
rate.
A. 5x - 9(x-36)
B. 5x - 91% +35)
C. 9x - 5(x-36)
D. 9x - 5(x +35)
Answer:
The correct answer would be D
9x=5(x=35)
Step-by-step explanation:
If this doesn't help I can fix it. I'm sorry in advance if it is incorrect.
Work out the area of a circle whose diameter is equal to 14 cm.
Give your answer correct to 2 decimal places.
cm?
help
Given:
The diameter of the circle = 14 cm
To find:
The area of the circle.
Solution:
We have,
Diameter of the circle = 14 cm
We know that the radius of the circle is half of its diameter. So,
[tex]r=\dfrac{14}{2}[/tex]
[tex]r=7\text{ cm}[/tex]
The area of a circle is:
[tex]A=\pi r^2[/tex]
Substituting [tex]\pi=\dfrac{22}{7}, r=7[/tex] in the above formula, we get
[tex]A=\dfrac{22}{7}\times (7)^2[/tex]
[tex]A=22\times 7[/tex]
[tex]A=154[/tex]
Therefore, the area of the circle is 154 square cm.
Help
Will
Give
Brainlist
Answer:
1st answer
Step-by-step explanation:
For items 10 and 11, write each relation as a set of ordered pairs.
Answer:
-15,3 2,-11 -3,-7 12,4
Use square roots to solve the following quadratic equation.
Write your answers from least to greatest with a comma and
space separating each answer. For example: 4,9
m2 - 4 = 77
Find the scale factor from Triangle ABC to Triangle DEF.
Answer:
The ratio of any two corresponding lengths in two similar geometric figures.
Step-by-step explanation:
You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.
If you divide the length of DE by the length of AB:
a^2/a =a.
You get a scale factor of “a”
help pls i need help now
Answer:
866
Step-by-step explanation:
866
4
x______
3464