Answer:
-2
Step-by-step explanation:
f(x) = 3x + k
f(4) = 10
f(4) = 3×4+k
10 = 12 + k
10-12 = k
k = -2
ASAP PLS HW EXPLANATION NEEDED
REMEBER IT SAYS SELECT ALL
Answer:
A and C are stories that can be represented by the tape diagram.
what is the 63 term in the sequence 2,12,22,32,....
Please mark brainliest this took a while to make!
Answer:
622
Counting the terms already shown, we would need 59 more. Since each term adds ten, let's make each term 10 added to the previous.
2,12,22,32,42,52,62,72,82,92,102,112,122,132,142,152,162,172,182,192,202,212,222,232,242,252,262,272,282,292,302,312,322,332,342,352,362,372,382, 392,402,412,422,432,442,452,462,472,482,492,502,512,522,532,542,552, 562,572,582,592,602,612,622
Find the equation of the line shown
Answer:
y=x+1
Step-by-step explanation:
The slope of the equation is 1, you can try the rise over run method or picking 2 points and subtracting them for example 2,3 and 3,4
2,3-3-4=1,1. The y-intercept is 1 because that is the point where the line crosses the y axis.
Answer:
Slope intercept form:
y = mx + b
Where 'y' is the independent variable and 'x' is the dependent variable.
'm' represents the slope(rise/run), and 'b' represents the y-intercept(where the line meets the y-axis).
If we look at this graph, we can see the line meets the y-axis at 1. So 1, will be our y - intercept.
We can also see, that from the point 1, it rises 1 and goes over 1. So 1, will be our slope as well.
To double check this, we select two fixed points on this graph and subtract the y-coordinates from each other and divide the result of that by the x-coordinates subtracted from each other.
y2(second y-coordinate) - y1(first y-coordinate)
_____________________________________
x2(second x-coordinate) - x1(first x-coordinate)
We pick the two points to be, (1,2) and (2,3).
3 - 2 1
______ = _______, which is equal to 1, so 1 is the slope.
2 - 1 1
Now we insert these values into our slope intercept form equation:-
y = mx + b
y = 1x + 1 or y = x + 1.
Where 1 is the slope, and the y-intercept is 1.
Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. His sample data has a mean of 295 and a sample size of 50. Which of the following correctly depicts the z-statistic for Brett’s data? –5. 30 –0. 11 4. 28 6. 27.
Z-score of given data comes to be -5.30.
It is given that
Population mean μ= 310
Standard deviation σ= 20
Mean of sample data X= 295
Sample size n= 50
What is z-score?A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
For a hypothesis test
Z-score = (X-μ)/(σ/√n)
Where, X = observed value
μ= mean
σ = standard deviation
n =sample size
Z-score of above data = (295-310)/(20/√50)
Z-score = -5.30
Therefore, Z-score of given data comes to be -5.30.
To get more about Z-score visit:
https://brainly.com/question/25638875
Elizabeth has 5/6kg of beads. IF she shares the beads between 4 friends, how much kg does each friend receive.
Answer:
5/24 kg
Step-by-step explanation:
5/6 ÷ 4/1 (keep-change-flip)
5/6 x 1/4 = 5/24
A regional transportation authority is interested in estimating the mean number of minutes working adults in the region spend commuting to work on a typical day. A random sample of working adults will be selected from each of three strata: urban, suburban, and rural. Selected individuals will be asked the number of minutes they spend commuting to work on a typical day. Why is stratification used in this situation?
A. To remove bias when estimating the proportion of working adults living in urban, suburban, and rural areas.B. To remove bias when estimating mean commuting time.C. To reduce bias when estimating mean commuting time.D. To decrease the variability in estimates of the proportion of working adults living in urban, suburban, and rural areas.E. To decrease the variability in estimates of the mean commuting time.
Answer:
To reduce bias when estimating mean commuting time
Step-by-step explanation:
Given that the selection of adults is based on the three strata found in the region; urban, suburban, and rural areas where the population and proportion of adults commuting to work is progressively decreasing, using a uniform number or sample size will not increase sample error as there are more commuters in the urban areas than in the suburban or rural areas, likewise, there are more commuters in the suburban area than in the rural areas, and as such the proportion of those sampled in the urban areas should be more than those surveyed in the suburban while those surveyed in the suburban areas should be more than those surveyed in the rural areas to reduce bias when estimating the mean as there will be more general representation.
Write a different ratio that is equivalent to 3/5.
Answer:
6/10
Step-by-step explanation:
because 6dived by 2 =3
And 10divided by 2=5
So they’re equivalent
Answer:6/10
Step-by-step explanation: we all know you just cheeting in imagine math take ur awnsers and go have a good day
PLZZ HELP I NEED AN ANESWER QUICK PLSSS
What is the distance between the points(−7, 7) and (−7, 8)?
Answer:
1
hope this helps!! :)
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
x2-30x+
Answer:
225
Step-by-step explanation:
a[tex]x^{2}[/tex] - bx + c
[tex](\frac{b}{2}) ^{2}[/tex]
[tex](\frac{-30}{2}) ^{2}[/tex]
[tex](-15)^{2} \\[/tex]
225
[tex](x-15)^{2}[/tex] = [tex]x^{2}[/tex] - 30x + 225
30 meters is the same as how many feet?
Hint: 1m x 3.3 ft
Round your answer to the nearest tenth.
I need this like right now please
Answer:
32
Step-by-step explanation:
Which is a better deal?
75% off of a brand name mp3 player that costs $199
OR an off-brand mp3 player for $44.99
Answer:
Off-brand mp3 for $44.99
Step-by-step explanation:
Given;
75% off of a brand name mp3 player that costs $199 or an off-brand mp3 player for $44.99
Note;
off = discount = decrease
Solve;
Starting with brand name mp3
$199 x 75% = 149.25
199 - 149.25= 49.75
Now with off brand mp3
$44.99 x 75% = 33.7425
Round 33.7425 = 33.74
$44.99 - 33.74 = 11.25
49.75 > 11.25
Hence, we can see that off-brand mp3 player is a better deal.
~Learn with Lenvy~
Work out the length QR.
Give your answer correct to 3 significant figures.
Total marks: 5
Answer:
The length of QR is 29.9 cm
Step-by-step explanation:
Let us revise the sine and cosine rules
In triangle ABC:
[tex]\frac{AB}{sin(C)}=\frac{BC}{sin(A)}=\frac{AC}{sin(B)}[/tex] ⇒ sine rule
(AC)² = (AB)² + (BC)² - 2(AB)(BC)cos(∠B) ⇒ cosine rule
Let us use these rules to solve the question
In Δ PQS
∵ [tex]\frac{PS}{sin(Q)}=\frac{QS}{sin(P)}[/tex]
∵ PS = 11.7 cm
∵ m∠P = 95°, m∠Q = 28°
→ Substitute them in the rule above
∴ [tex]\frac{11.7}{sin(28)}=\frac{QS}{sin(95)}[/tex]
→ By using cross multiplication
∴ QS × sin(28) = 11.7 × sin(95)
→ Divide both sides by sin(28) to find QS
∴ QS = 24.82680292 cm
Now let us use the cosine rule to find QR
In Δ QSR
∵ (QR)² = (QS)² + (RS)² - 2(QS)(RS)cos(∠QSR)
∵ RS = 10.2 cm
∵ m∠QSR = 110°
→ Substitute these values in the rule above
∴ (QR)² = (24.82680292)² + (10.2)² - 2(24.82680292)(10.2)cos(110)
∴ (QR)² = 893.631984
→ Take √ for both sides
∴ QR = 29.89367799
→ Round it to 3 significant figures
∴ QR = 29.9 cm
A toy store received a large shipment of toy race cars. The cars come in blue and red. Because the red cars are more popular, the toy store wanted the ratio of red cars to blue cars to be 3:2. If total number of cars received was 40, then how many of the cars were red?
Answer:
24 cars
Step-by-step explanation:
Given
[tex]Red:Blue = 3:2[/tex]
[tex]Cars = 40[/tex]
Required
Determine the number of red cars
Number of red cars is calculated using:
[tex]Red\ Cars = \frac{Red\ Ratio}{Total\ Ratio} * Cars[/tex]
[tex]Red\ Cars = \frac{3}{3 + 2} * 40[/tex]
[tex]Red\ Cars = \frac{3}{5} * 40[/tex]
[tex]Red\ Cars = \frac{3 * 40}{5}[/tex]
[tex]Red\ Cars = \frac{120}{5}[/tex]
[tex]Red\ Cars = 24[/tex]
What is the value of the expression 2^2 + 8^2 ÷ 2^2?
1 point)
8
10
17
20
Answer:
Fourth option
Step-by-step explanation:
Given the following question:
[tex]2^2+8^2\div2^2[/tex]
To find the answer we need to convert the exponents into integers and then solve using PEMDAS.
[tex]2^2+8^2\div2^2[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]8^2=8\times8=64[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]4+64\div4[/tex]
[tex]64\div4=16[/tex]
[tex]4+16[/tex]
[tex]4+16=20[/tex]
[tex]=20[/tex]
Your answer is "20" or the fourth option.
Hope this helps.
Find find the area of the triangle below
Answer:
the answer is: 70
Step-by-step explanation:
[tex]s \: = \: \frac{ah}{2} [/tex]
[tex]s \: = \: \frac{70 \: \times \: 20}{2} = \: 70[/tex]
In the image below, find the value of x
, m∠7
, and m∠8
.
m∠7=5x+5
m∠8=x−5
Answer:
Step-by-step explanation:
<7 + <8 = 180 [They are supplementary.]
5x + 5 + x - 5 = 180
6x = 180
x = 180/6
x = 30
==================
m<7 = 5x + 5 = 5*30 + 5 = 150+5 = 155
m<8 = x - 5 = 30 - 5 = 25
If x+y=8 , 1/x+1/y=1/2 then xy=?
Answer:
xy = 16
Step-by-step explanation:
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 2xy to clear the fractions )
2y + 2x = xy ← factor out 2 from each term on the left side
2(y + x) = xy
substitute x + y = 8 into the left side
2(8) = xy , that is
xy = 16
Please answer and say what a perfect root is pls i didnt get time to study and this is for 15 points
Answer:
81 is a perfect square
18 isn't a perfect square
50 isn't a perfect square
32 isn't a perfect square
Step-by-step explanation:
Numbers whose square roots are whole numbers, or more accurately positive integers are called perfect root
Example 7×7=49
find √100 please i need help
Answer:
10
Step-by-step explanation:
as you want to find the square root of 100, by using a calculator you will find out that it is 10, also in other way you can check whether it is true by multiply 10 with 10, which you will get 100. in other way, square root of 100 means what value times with what value will get 100
Hey there!
First of all, what is this "√" sign?
It means "square root"
Wow, numbers have square roots? Yes.
The square root of a number is the opposite of squaring a number.
Squaring a number simply means multiplying it times itself.
So taking the square root of a number is the opposite of squaring a number.
So, we have
[tex]\bold{\sqrt{100} }[/tex]
What is the square root of 100? in other words, what number times itself equals 100?
That's right, 10.
Hence, the answer is:
[tex]\boxed{\boxed{\bold{10}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if you do, please comment.
#LearningDoesn'tEnd
[tex]\rule{200}{2}[/tex]
In 2015,there were about 22 million teenagers (aged 13-17) in the United States. They each sent an average of 900 text messages per month. About how many text messages did all of the teenagers in the United States send each month? Express your answer using scientific notation
The amount of text messages sent by teenagers in the United States in 2015 is about 1.98 x [tex]10^{10}[/tex]
What is scientific notation?Scientific notation is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
2.2 x 10^7 + 9 x 10^2 = 1.98 x 10^10
To learn more about scientific notation, please check: https://brainly.com/question/25334755
James studied for his test. He started studying at 3:20 p.m. and studied for 2 hours and 15 minutes. What time did he finished studying?
18 POINTS!
Hey there!
Started at 3:20 and studied for 2 hours and 15 minutes
=> [tex]3:20 \\ 2:15 \\ \overline{5:35} \\ \overline{ } [/tex]
Therefore, He finished at 5:35
What common fraction must be taken from 5/6 to equal 1/3
Answer:
1/2
Step-by-step explanation:
[tex] \frac{5}{6} - x = \frac{1}{3} [/tex]
[tex] \frac{5}{6} - x = \frac{2}{6} [/tex]
[tex]x = \frac{3}{6} = \frac{1}{2} [/tex]
Pedro jogs 1.45 kilometers on Monday. he jogs 0.5 kilometer more on Tuesday than on Monday. how far does Pedro jog during both days?
Answer:
3.4 kilometers on both days
Step-by-step explanation:
[tex]1.45+0.5=1.95[/tex]
[tex]1.45+1.95=3.4[/tex]
Need help with question 10- Tysm!
Answer:
A=½bh
56=8a(½)
multiply by reciprocal both sides
112=8a
divide
14=a
Find the Highest Common Factor of 42 and 90.
Answer:
6
Step-by-step explanation:
Factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factores of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
6 is the greatest common factor.
Answer:
6
Step-by-step explanation:
The common factors of 42 and 90 are 6,3,2,1
Therefore the greatest common factor of 42 and 90 is 6
Pls help will give brainlist and 100 points.
[tex]\\ \tt\hookrightarrow (x+5)(x+8)[/tex]
[tex]\\ \tt\hookrightarrow x(x+8)+5(x+8)[/tex]
[tex]\\ \tt\hookrightarrow x^2+8x+5x+40[/tex]
[tex]\\ \tt\hookrightarrow x^2+13x+40[/tex]
Done!
Sofia buys a two-gallon bottle of juice for $35.84. What is the unit rate of the cost of the juice per fluid ounce?
Answer:
$/£ 0.14
Step-by-step explanation:
1 gallon = 128 Ounces
2 gallons = 256 ounces
35.84 ÷ 256 = $/£0.14
Answer: $0.14 per fl oz
Step-by-step explanation:
# of fluid oz per gallon = 128
2 gallons = 256 fl oz
$35.84/256= 0.14
A circle has the equation x² + y2 = 7
P is the point (-2,13) on the circle x² + y2 = 7
Work out the equation of the tangent to the circle at P.
Answer:
A tangent to a circle at point P with coordinates is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c .
Step-by-step explanation:
Answer:
x=√−y2+7 or x=−√−y2+7
Step-by-step explanation:
(Maths)
Line R has the equation y = 4x + 7
Line P is parallel to line R and intersects the y-axis at (0,-5)
Write down the equation of line P in thee form y=mx+c
Answer:
y = 4x + -5
Step-by-step explanation:
Answer:
[tex]y=4x-5[/tex]
Step-by-step explanation:
parallel lines have the same gradient so line P's gradient would also be 4
line P's equation is [tex]y=4x+c[/tex] but we don't know the c variable yet, so we just plug in the coordinate values
[tex]-5=4(0)+c[/tex]
[tex]-5=c[/tex]
so line P's equation is [tex]y=4x-5[/tex]
A wedding tent is built in the shape of a right rectangular prism topped with a
rectangular pyramid. The dimensions of the prism are 21 ft by 27 ft by 8 ft,
and the height of the pyramid is 2 ft. Find the total volume of the tent. Round
your answer to the nearest tenth if necessary.
Based on the calculations, the total volume of this wedding tent is equal to 4,914 [tex]ft^3[/tex]
Given the following data:
Dimensions of prism (LWH) = 21 ft x 27 ft x 8 ft.Height of pyramid = 2 ft.How to calculate the total volume of the tent.First of all, we would determine the volume of the right rectangular prism by using this formula:
[tex]V=LWH\\\\V=21 \times 27 \times 8\\\\V=4536\;ft^3[/tex]
Also, we would determine the volume of the pyramid by using this formula:
[tex]V=\frac{1}{3} BH\\\\V=\frac{1}{3}\times (21\times 27)\times 2\\\\V=378\;ft^3[/tex]
For the total volume:
Total volume = [tex]4536+378[/tex]
Total volume = 4,914 [tex]ft^3[/tex]
Read more on rectangular prism here: brainly.com/question/3867601